From 42dee7513ea661cd4e9ef8749280591fb168f7c8 Mon Sep 17 00:00:00 2001
From: Mo <mo@standardnotes.com>
Date: Mon, 4 Jul 2022 14:33:27 -0500
Subject: [PATCH] feat: add docs repo (#1202)

---
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new file mode 100644
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new file mode 100644
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diff --git a/.yarn/cache/wrap-ansi-npm-8.0.1-b8ba4ced36-5d7816e64f.zip b/.yarn/cache/wrap-ansi-npm-8.0.1-b8ba4ced36-5d7816e64f.zip
new file mode 100644
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diff --git a/docs/.gitignore b/docs/.gitignore
new file mode 100644
index 000000000..50b2292ed
--- /dev/null
+++ b/docs/.gitignore
@@ -0,0 +1,20 @@
+# Dependencies
+node_modules
+
+# Production
+build
+
+# Generated files
+.docusaurus
+.cache-loader
+
+# Misc
+.DS_Store
+.env.local
+.env.development.local
+.env.test.local
+.env.production.local
+
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
diff --git a/docs/.prettierrc b/docs/.prettierrc
new file mode 100644
index 000000000..544138be4
--- /dev/null
+++ b/docs/.prettierrc
@@ -0,0 +1,3 @@
+{
+  "singleQuote": true
+}
diff --git a/docs/LICENSE b/docs/LICENSE
new file mode 100644
index 000000000..0ad25db4b
--- /dev/null
+++ b/docs/LICENSE
@@ -0,0 +1,661 @@
+                    GNU AFFERO GENERAL PUBLIC LICENSE
+                       Version 3, 19 November 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/>
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+                            Preamble
+
+  The GNU Affero General Public License is a free, copyleft license for
+software and other kinds of works, specifically designed to ensure
+cooperation with the community in the case of network server software.
+
+  The licenses for most software and other practical works are designed
+to take away your freedom to share and change the works.  By contrast,
+our General Public Licenses are intended to guarantee your freedom to
+share and change all versions of a program--to make sure it remains free
+software for all its users.
+
+  When we speak of free software, we are referring to freedom, not
+price.  Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+them if you wish), that you receive source code or can get it if you
+want it, that you can change the software or use pieces of it in new
+free programs, and that you know you can do these things.
+
+  Developers that use our General Public Licenses protect your rights
+with two steps: (1) assert copyright on the software, and (2) offer
+you this License which gives you legal permission to copy, distribute
+and/or modify the software.
+
+  A secondary benefit of defending all users' freedom is that
+improvements made in alternate versions of the program, if they
+receive widespread use, become available for other developers to
+incorporate.  Many developers of free software are heartened and
+encouraged by the resulting cooperation.  However, in the case of
+software used on network servers, this result may fail to come about.
+The GNU General Public License permits making a modified version and
+letting the public access it on a server without ever releasing its
+source code to the public.
+
+  The GNU Affero General Public License is designed specifically to
+ensure that, in such cases, the modified source code becomes available
+to the community.  It requires the operator of a network server to
+provide the source code of the modified version running there to the
+users of that server.  Therefore, public use of a modified version, on
+a publicly accessible server, gives the public access to the source
+code of the modified version.
+
+  An older license, called the Affero General Public License and
+published by Affero, was designed to accomplish similar goals.  This is
+a different license, not a version of the Affero GPL, but Affero has
+released a new version of the Affero GPL which permits relicensing under
+this license.
+
+  The precise terms and conditions for copying, distribution and
+modification follow.
+
+                       TERMS AND CONDITIONS
+
+  0. Definitions.
+
+  "This License" refers to version 3 of the GNU Affero General Public License.
+
+  "Copyright" also means copyright-like laws that apply to other kinds of
+works, such as semiconductor masks.
+
+  "The Program" refers to any copyrightable work licensed under this
+License.  Each licensee is addressed as "you".  "Licensees" and
+"recipients" may be individuals or organizations.
+
+  To "modify" a work means to copy from or adapt all or part of the work
+in a fashion requiring copyright permission, other than the making of an
+exact copy.  The resulting work is called a "modified version" of the
+earlier work or a work "based on" the earlier work.
+
+  A "covered work" means either the unmodified Program or a work based
+on the Program.
+
+  To "propagate" a work means to do anything with it that, without
+permission, would make you directly or secondarily liable for
+infringement under applicable copyright law, except executing it on a
+computer or modifying a private copy.  Propagation includes copying,
+distribution (with or without modification), making available to the
+public, and in some countries other activities as well.
+
+  To "convey" a work means any kind of propagation that enables other
+parties to make or receive copies.  Mere interaction with a user through
+a computer network, with no transfer of a copy, is not conveying.
+
+  An interactive user interface displays "Appropriate Legal Notices"
+to the extent that it includes a convenient and prominently visible
+feature that (1) displays an appropriate copyright notice, and (2)
+tells the user that there is no warranty for the work (except to the
+extent that warranties are provided), that licensees may convey the
+work under this License, and how to view a copy of this License.  If
+the interface presents a list of user commands or options, such as a
+menu, a prominent item in the list meets this criterion.
+
+  1. Source Code.
+
+  The "source code" for a work means the preferred form of the work
+for making modifications to it.  "Object code" means any non-source
+form of a work.
+
+  A "Standard Interface" means an interface that either is an official
+standard defined by a recognized standards body, or, in the case of
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+  However, if you cease all violation of this License, then your
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+  9. Acceptance Not Required for Having Copies.
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+
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+
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+
+  Notwithstanding any other provision of this License, if you modify the
+Program, your modified version must prominently offer all users
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+  14. Revised Versions of this License.
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+  The Free Software Foundation may publish revised and/or new versions of
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+  15. Disclaimer of Warranty.
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+  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
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+  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
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+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU Affero General Public License as published
+    by the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU Affero General Public License for more details.
+
+    You should have received a copy of the GNU Affero General Public License
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If your software can interact with users remotely through a computer
+network, you should also make sure that it provides a way for users to
+get its source.  For example, if your program is a web application, its
+interface could display a "Source" link that leads users to an archive
+of the code.  There are many ways you could offer source, and different
+solutions will be better for different programs; see section 13 for the
+specific requirements.
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU AGPL, see
+<https://www.gnu.org/licenses/>.
diff --git a/docs/README.md b/docs/README.md
new file mode 100644
index 000000000..480b023cb
--- /dev/null
+++ b/docs/README.md
@@ -0,0 +1,196 @@
+# Standard Notes Documentation
+
+## Introduction
+
+This website is built using [Docusaurus 2](https://docusaurus.io/), a modern static website generator. You can read the about the full features of Docusaurus on the official [Docusaurus documentation](https://docsaurus.io).
+
+Docusaurus is a static site generator, which means that the production version of the website contains only static assets such as HTML, CSS, and JavaScript, and the entire website is rendered before it is loaded onto the production server. The website can then be served on static hosting service such as GitHub Pages.
+
+Each push to the `main` branch of the repository will automatically deploy the website to GitHub Pages. The configuration for this continuous deployment is located at [./.github/workflows/deploy.yml](./.github/workflows/deploy.yml). The URL for the website is located at [static/CNAME](static/CNAME).
+
+### Directory
+
+This is the structure of the directory:
+
+```sh
+docs
+├── docs
+│   ├── account
+│   ├── extended
+│   ├── extensions
+│   ├── listed
+│   ├── privacy
+│   ├── self-hosting
+│   ├── specification
+│   ├── troubleshooting
+│   ├── usage
+│   ├── contribute.md
+│   ├── template.md
+│   └── welcome.md
+├── src
+│   ├── components
+│   │   └── CanonicalUrl.js
+│   ├── css
+│   │   └── custom.scss
+│   └── pages
+│       ├── archive
+│       ├── docs
+│       ├── listed
+│       ├── self-hosting
+│       ├── standard-file
+│       └── styles.module.css
+├── static
+│   ├── img
+│   ├── katex
+│   ├── .nojekyll
+│   ├── CNAME
+│   └── matomo.js
+├── .gitignore
+├── .prettierrc
+├── docusaurus.config.js
+├── LICENSE
+├── package.json
+├── README.md
+├── sidebars.js
+└── yarn.lock
+```
+
+### Files
+
+- `.gitignore` - This specifies which files Git should ignore when committing and pushing to remote repositories.
+- `.prettierrc` - This specifies the rules for [Prettier](https://prettier.io/docs/en/configuration.html), a code formattter
+- `docusaurus.config.js` - This is the configuration file for Docusaurus. You can manage the links in the header and footer, and site metadata here. A more in-depth introduction to this configuration file is available on the [Docusaurus website](https://docusaurus.io/docs/configuration) and full documentation for the API is [here](https://docusaurus.io/docs/docusaurus.config.js).
+- `package.json` - This specifies the dependencies for the website and the commands that you can run with yarn.
+- `sidebars.js` - This specifies the sidebars for your documentation. The full documentation for this file is available on the [Docusaurus website](https://docusaurus.io/docs/sidebar).
+- `yarn.lock` - This specifies the full dependencies for the website including the dependencies of the dependencies listed in `package.json`. Do not edit this file directly. Edit `package.json` instead, then run `yarn install` as described below.
+
+The `.md` files in the `docs` directory are the docs. See the [Docusaurus website](https://docusaurus.io/docs/docs-introduction) for the full documentation on how to create docs and to manage the metadata.
+
+The `custom.scss` file in `src/css` defines global styles as described on the [Docusaurus website](https://docusaurus.io/docs/styling-layout/).
+
+The `.js` files in `src/pages` are [Docusaurus pages](https://docusaurus.io/docs/creating-pages) that serve as redirects. You can also set up redirects using the [plugin-client-redirects](https://docusaurus.io/docs/api/plugins/@docusaurus/plugin-client-redirects) plugin in `docusaurus.config.js`
+
+## Development
+
+A full list of the commands for the Docusaurus CLI is available at the [Docusaurus website](https://docusaurus.io/docs/cli).
+
+### Prerequisites
+
+To get started with developing this website, you need to install the following technologies on your device
+
+- [Node.js](https://nodejs.org/en/download/) version >= 12.13.0 or above (which can be checked by running `node -v`). You can use [nvm](https://github.com/nvm-sh/nvm) for managing multiple Node versions on a single machine installed
+- [Yarn](https://yarnpkg.com/en/) version >= 1.5 (which can be checked by running `yarn --version`). Yarn is a performant package manager for JavaScript and replaces the `npm` client. It is not strictly necessary, but highly encouraged because we use it.
+
+We also recommend that you download the following technologies:
+
+- [Visual Studio Code](https://code.visualstudio.com/) - A text editor to edit the source files of your editor
+- [Git](https://git-scm.com/downloads) - A tool for managing different versions of the website
+
+### Installation
+
+```console
+yarn install
+```
+
+This command reads the dependencies from the `package.json` file, updates the dependencies of those dependencies in
+
+### Start
+
+```console
+yarn start
+```
+
+This command starts a local development server at port `3002`, opens up a browser window, and loads [localhost:3002](localhost:3002). Most changes are reflected live without having to restart the server. To close this, press <kbd>Ctrl</kbd>/<kbd>Cmd</kbd>+<kbd>C</kbd>.
+
+### Build
+
+```console
+yarn build
+```
+
+This command generates static content into the `build` directory and can be served using any static contents hosting service.
+
+### Serve
+
+```console
+yarn serve
+```
+
+Serve your built website locally through port `3000`. Open [localhost:3000](localhost:3000) to test the production build of your website before committing it to Git.
+
+### Deployment
+
+```console
+GIT_USER=<Your GitHub username> USE_SSH=true yarn deploy
+```
+
+We use GitHub Pages to host our website. This command is a convenient way to build the website and push to the `gh-pages` branch.
+
+To use this command, you need to [set up SSH](https://docs.github.com/en/github/authenticating-to-github/connecting-to-github-with-ssh) and make sure that your `git remote` URL uses SSH. To check your `git remote`, run `git remote -v`. The console should output something like this:
+
+```console
+origin  git@github.com:standardnotes/docs.git (fetch)
+origin  git@github.com:standardnotes/docs.git (push)
+```
+
+If the part after `origin` begins with `https://` instead of `git@`, run this:
+
+```console
+git remote set-url origin git@github.com:standardnotes/docs.git
+```
+
+## Creating a new documentation file
+
+1. Try to name the new documentation file using the desired URL path for that file. The default `id` is the name of the file before the `.md`, so naming the documentation files this way allows linking between docs with path names (e.g., `./self-hosting/getting-started.md`).
+2. Copy the contents of `docs/template` into your new documentation file. The template contains standard keywords and a link to the standard meta image.
+3. In VSCode, you can easily change `Template` to be desired word or phrase by right-clicking the word `Template` then clicking "Change all occurrences".
+4. Finish writing the new documentation.
+5. Add the `id` to `sidebars.js`.
+6. Run `yarn build` before committing and make sure that the build process is successful.
+
+When possible, use path names when linking between docs (see #1 above). This improves the editing experience because we can easily switch between docs in VSCode by pressing <kbd>Ctrl</kbd>/<kbd>Cmd</kbd> and clicking the links. Docusaurus will automatically remove the `.md` in the path of the doc. If you are developing and the `.md` does not update immediately, shut down your development server and restart it.
+
+## Style Guide
+
+Please follow the following writing style guide. These guidelines are open for discussion and are subject to change as we see fit, but we should be consistent about them:
+
+- Add periods to complete sentences in lists.
+- Use "sign in to" instead of "sign into" to be consistent with the [web app](https://app.standardnotes.org).
+- Hyphenate `open-source` when using the phrase as an adjective (see [Merriam-Webster's](https://www.merriam-webster.com/dictionary/open-source)).
+- The _-n't_ contractions are fine, but try to avoid using noun-verb contractions, such as ("you're" or "you've"). (See [Google's convention](https://developers.google.com/style/contractions)).
+
+For more inspiration for the style guide, see the [Google's developer documentation style guide](https://developers.google.com/style) or [Microsoft's Writing Style Guide](https://docs.microsoft.com/en-us/style-guide/welcome/).
+
+## Configuring Search
+
+The search is powered by [Algolia DocSearch](https://docsearch.algolia.com/), a free service. Thank you, Algolia!
+
+About every 24 hours, Algolia scrapes the website and updates the search index. You do not need to do anything to re-scrape the website and update the search index.
+
+You can modify which content appears in the search index by updating the DocSearch configuration file. The DocSearch configuration file for Standard Notes is available at [algolia/docsearch-configs/../standardnotes.json](https://github.com/algolia/docsearch-configs/blob/master/configs/standardnotes.json). Try to keep it up to date with [algolia/docsearch-configs/../docusaurus-2.json](https://github.com/algolia/docsearch-configs/blob/master/configs/docusaurus-2.json).
+
+## Updating KaTeX
+
+The version of KaTeX that we can use depends on the [Remark Math](https://github.com/remarkjs/remark-math) that we use. The version of Remark Math that we can use depends on [Remark Parse](https://github.com/remarkjs/remark/releases) that we use. As of May 7, 2021, Docusaurus does not support the latest version of Remark Parse, so it does not support the latest version of Remark Math and KaTeX. You can follow the developments in [Docusaurus #3668](https://github.com/facebook/docusaurus/issues/3668) and [Docusaurus #4029](https://github.com/facebook/docusaurus/issues/4029).
+
+To update KaTeX:
+
+1. Determine which version of KaTeX you want to use (e.g., `v0.12.0`).
+2. Create a folder in [./static/katex](./static/katex) with the version number as the name of the folder.
+3. Download the zip of the appropriate version from [github.com/katex/katex/releases](https://github.com/KaTeX/KaTeX/releases).
+4. Unzip the KaTeX from step 2 and copy the contents into the folder from step 1.
+5. Copy the `integrity` of the `katex.min.css` file from the `README.md` of the unzipped contents from step 3.
+6. Update the `href` and `integrity` of the KaTeX stylesheet in `docusaurus.config.js`.
+7. Check the page for Markdown Math to see if KaTeX is loading properly.
+
+## Updating Canonical URLs
+
+You can update the canonical URL of individual docs by importing the `CanonicalUrl` component defined in [./src/components/CanonicalUrl.js](./src/components/CanonicalUrl.js).
+
+Update the relative path as appropriate. To check that the canonical is updated, build the website using `yarn build`, and test the site using `yarn serve`.
+
+```jsx
+import CanonicalUrl from '../../src/components/CanonicalUrl';
+
+<CanonicalUrl canonicalUrl="https://standardnotes.com/help/" />;
+```
diff --git a/docs/babel.config.js b/docs/babel.config.js
new file mode 100644
index 000000000..fb167e2e5
--- /dev/null
+++ b/docs/babel.config.js
@@ -0,0 +1,3 @@
+module.exports = {
+    presets: [require.resolve('@docusaurus/core/lib/babel/preset')],
+}
diff --git a/docs/docs/contribute.md b/docs/docs/contribute.md
new file mode 100644
index 000000000..aff071cd0
--- /dev/null
+++ b/docs/docs/contribute.md
@@ -0,0 +1,23 @@
+---
+title: How to contribute
+sidebar: How to contribute
+description: How to contribute to Standard Notes
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Template
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Thank you for your interest in contributing to Standard Notes. We are very happy that you want to help. The development for all our apps are done publicly on [GitHub](https://github.com/standardnotes). Here are some ways that you can help us improve Standard Notes:
+
+1. Submit suggestions and feature ideas to our [community forum](https://forum.standardnotes.org). You can comment on the existing feature requests and subscribe to individual threads to follow their progress.
+2. Report bugs or issues to our [community forum](https://forum.standardnotes.org).
+3. Help others on the forum and our [Slack group](https://standardnotes.com/slack).
+4. Blog, tweet and share what you like about Standard Notes, what you use it for, and how it helps you.
+
+We do things the old-fashioned way and rely on people like you telling other people like you about Standard Notes to sustain our efforts. Get a free month of Extended when your friend also joins Extended. Log into the [member dashboard](https://dashboard.standardnotes.com) to get your unique referral link. 🙂
diff --git a/docs/docs/extensions/actions.md b/docs/docs/extensions/actions.md
new file mode 100644
index 000000000..3c5fcd4f1
--- /dev/null
+++ b/docs/docs/extensions/actions.md
@@ -0,0 +1,191 @@
+---
+id: actions
+title: Actions
+sidebar_label: Actions
+description: How to build Action components for Standard Notes.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+  - actions
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Actions are menu-based extensions that allow you to build simple APIs that do not require a user interface. Actions have the power to receive the working note and modify it. We use actions for our Note History extension, as well as Listed and File Attachments.
+
+## Building an Action
+
+Building an action-based extension can be done through any backend system of your choosing. We use Rails to build the [Listed](https://github.com/standardnotes/listed) extension, which allows you to create and manage a blogging publication from your notes.
+
+In this example, we'll recreate a simple clone of Listed.
+
+1. Generate a secret installation link for the user.
+
+   The secret installation link will contain a randomly generated secret key that authenticates the user to the server. The user need only copy the resulting link into Standard Notes, and it is then remembered automatically and sent to the server with every subsequent request.
+
+   ```ruby
+   author = Author.new
+   secret =  Digest::SHA256.hexdigest(SecureRandom.hex)
+   secret_url = CGI.escape("#{ENV['HOST']}/authors/#{author.id}/extension/?secret=#{secret}&type=sn")
+   ```
+
+   Display the `secret_url` to the user and instruct them to install the url in Standard Notes, via the Extensions menu in the lower left corner.
+
+1. Whenever the user clicks on the "Actions" menu within Standard Notes, SN will make a GET request to the user's secret URL. It is here that you return a JSON object that contains some metadata and applicable actions.
+
+   Here is what Listed handles the `extension` endpoint that is encoded in the user's secret url:
+
+   ```ruby
+   def extension
+     secret = params[:secret]
+     item_uuid = params[:item_uuid]
+
+     name = "Listed"
+     supported_types = ["Note"]
+     actions = []
+     if item_uuid
+       actions += [
+         {
+           :label => "Publish to Blog",
+           :url => "#{ENV['HOST']}/authors/#{@author.id}/posts/?unlisted=false&secret=#{secret}&item_uuid=#{item_uuid}",
+           :verb => "post",
+           :context => "Item",
+           :content_types => ["Note"],
+           :access_type => "decrypted"
+         },
+         {
+           :label => "Open Blog",
+           :url => @author.username && @author.username.length > 0 ? @author.url : "#{ENV['HOST']}/authors/#{@author.id}",
+           :verb => "show",
+           :context => "Item",
+           :content_types => ["Note"],
+           :access_type => "decrypted"
+         },
+         {
+           :label => "Publish to Private Link",
+           :url => "#{ENV['HOST']}/authors/#{@author.id}/posts/?unlisted=true&secret=#{secret}&item_uuid=#{item_uuid}",
+           :verb => "post",
+           :context => "Item",
+           :content_types => ["Note"],
+           :access_type => "decrypted"
+         }
+       ]
+     end
+
+     post = Post.find_by_item_uuid(item_uuid)
+     if post
+       actions.push(
+       {
+         :label => "Open Private Link",
+         :url => "#{ENV['HOST']}/#{post.token}",
+         :verb => "show",
+         :context => "Item",
+         :content_types => ["Note"]
+       })
+
+       actions.push(
+       {
+         :label => "Unpublish",
+         :url => "#{ENV['HOST']}/authors/#{@author.id}/posts/#{post.id}/unpublish?secret=#{secret}",
+         :verb => "post",
+         :context => "Item",
+         :content_types => ["Note"]
+       })
+     end
+
+     actions.push (
+     {
+       :label => "Settings",
+       :url => "#{ENV['HOST']}/authors/#{@author.id}/settings?secret=#{secret}",
+       :verb => "show",
+       :context => "Item",
+       :content_types => ["Note"]
+     }
+     )
+
+     description = "Publishes to listed.to. Requires decrypted access to publishing note."
+     render :json => {
+       :name => name,
+       :description => description,
+       :supported_types => supported_types,
+       :actions => actions,
+       :content_type => "Extension",
+       :identifier => "com.my.extension"
+     }
+   end
+   ```
+
+1. When a user selects the action, your server should be ready to handle that endpoint, and in most cases expect an item. Here's how Listed handles the "Publish to Blog" action:
+
+   ```ruby
+   def create
+     item_uuid = params[:item_uuid]
+     post = Post.find_by_item_uuid(item_uuid)
+     if post && post.author != @author
+       return
+     end
+
+     if !post
+       post = @author.posts.new(post_params)
+     else
+       post.update(post_params)
+     end
+
+     item = params[:items][0]
+     content = item["content"]
+
+     post.title = content["title"]
+     post.text = content["text"]
+     post.save
+   end
+   ```
+
+### Properties
+
+Actions have the following properties:
+
+| Key                 | Description                                                                                                                                                                                                                                                                                                                                                       |
+| :------------------ | :---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
+| **`label`**         | What the UI will display for this action.                                                                                                                                                                                                                                                                                                                         |
+| **`url`**           | The URL that Standard Notes will make a request to when the user selects this action.                                                                                                                                                                                                                                                                             |
+| **`verb`**          | Instructs Standard Notes how to handle the URL. This can be one of:                                                                                                                                                                                                                                                                                               |
+| **`show`**          | Standard Notes will open the `url` in a browser.                                                                                                                                                                                                                                                                                                                  |
+| **`post`**          | Standard Notes will make a POST request to the `url` with the current item included in the parameters.                                                                                                                                                                                                                                                            |
+| **`get`**           | Standard Notes will make a GET request to the `url` and expect an `Item` in response. The item will be used to update the current working note. We use this for our Note History extension to update the current note with a previous version of it.                                                                                                              |
+| **`render`**        | Standard Notes will make a `GET` request to the `url` and expect an `Item`, but instead of updating the item, it will preview it in a modal. This allows a user to preview the contents of an incoming item before choosing to replace the current note with whatever is retrieved from the server. We also use this in our Note History extension.               |
+| **`context`**       | Context should mostly be `Item`, which means that this action applies to a particular item, and is not just a general action. In the past, `context` could take on the value of `global`, which means it has actions available that are not related to an item. However, this functionality is unofficially deprecated, with an official deprecation coming soon. |
+| **`content_types`** | The kinds of items this action applies to. Currently only 'Note' actions are supported. In the future, we might allow for actions on a `Tag` or other content types, but no such interface is currently available.                                                                                                                                                |
+
+For example, the expected response of a **`get`** action is:
+
+```json
+{
+  "item": {
+    "uuid": "",
+    "content_type": "",
+    "content": "",
+    "created_at": "",
+    "updated_at": ""
+  }
+}
+```
+
+The payload inside the `item` key is the same payload structure you would see if you downloaded an encrypted backup file from the Account menu and inspected the `.txt` file. The item needs to be in the encrypted format when it appears. We'll need to modify the client code to also accept decrypted items.
+
+## Installing an Action
+
+Actions have the following URL format:
+
+```
+https://host.org/my-action?type=action&name=MyAction
+```
+
+## Action Potential
+
+There are a lot of cool things you can build with actions. For example, you can build an action that receives the current note which consists of a bunch of numbers separated by a comma, and the action can compute the average, and return the new note contents which appends the average. This is a simple use case, but can be enlarged to build more powerful abilities.
+
+You might even build an action that for example receives JavaScript code in the note text, runs the JavaScript, computes the result, and returns the result which is then appended to the note body in creative ways. The possibilities are almost endless.
diff --git a/docs/docs/extensions/building-an-extension.md b/docs/docs/extensions/building-an-extension.md
new file mode 100644
index 000000000..cdba062e4
--- /dev/null
+++ b/docs/docs/extensions/building-an-extension.md
@@ -0,0 +1,143 @@
+---
+id: building-an-extension
+title: Building an Extension
+sidebar_label: Building an Extension
+description: How to build an extension for Standard Notes.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+In this section, we'll talk about building **components**, which are a type of extension related to user interface elements that can replace or be appended to areas of the Standard Notes app. They allow us to do cool things like custom editors, nested folders, tag autocomplete, and custom extension bars in the editor pane.
+
+Building a component is easily done using the JavaScript-based [Component Bridge library](https://github.com/sn-extensions/components-api). All you have to do is build a single-page web app using any framework you'd like (plain, Angular, React, etc.), then use our component "bridge" to handle interactions between Standard Notes and your extension, for example, to read or save data.
+
+## Setting up the project
+
+In this example, we'll use our blank-slate ReactJS template to build a utility bar that counts and displays the number of words in the current note.
+
+(The ReactJS template makes it easy to get started. You can also create a project from scratch that utilizes the [Components Bridge library](https://github.com/sn-extensions/components-api).)
+
+1. Clone the [blank-slate](https://github.com/sn-extensions/react-blank-slate) project from GitHub:
+
+   ```bash
+   git clone https://github.com/sn-extensions/react-blank-slate.git
+   ```
+
+1. Build the project:
+
+   ```bash
+   cd react-blank-slate
+   npm install
+   ```
+
+1. Start the local web server to host the app.
+
+   ```bash
+   npm run start
+   ```
+
+1. In the command output from above, note the port number used. By default, it will probably be port 8080 if it's available. Open `localhost:8080` in your browser. You should see the text "Component is ready" on the page.
+
+## Installing in Standard Notes
+
+1. In the `app` folder, you will find a file called `ext.json`. This file instructs Standard Notes on how to install your extension. After having run the last step from the previous section (`npm run start`), you should have a localhost endpoint running.
+
+1. In your browser, open `http://localhost:8080/ext.json`, and ensure that the output matches the file contents of the ext.json file. Most importantly, if your dev server is running on a different port, make sure to update the `url` property of the JSON file to reflect the correct value.
+
+1. In the **Standard Notes** desktop application (browser may not work for this), click **Extensions** in the lower left corner of the app, click **Import Extension** in the bottom right of the **Extensions** window, and input your ext.json location: `http://localhost:8080/ext.json`. Then press enter.
+
+1. In the same window, find your installed extension, then press **Activate** to run it.
+
+1. You should now see "Blank Slate" at the bottom left of your notes. Clicking on it should raise a little window which displays "Your component is ready". If you try in your browser, it is possible that the window instead remains white. This is most likely due to your browser blocking Mixed Content page. Search online for how to enable it for your browser.
+
+More detailed instructions on setting up your local environment can be found in the [Local Setup tutorial](/extensions/local-setup).
+
+## Writing the App
+
+1. In order to count the number of words in a note, the component needs access to the "working note", or the note the user is currently editing. In `app/lib/BridgeManager.js`, uncomment the relevant parts of the permissions so it looks like this:
+
+   ```javascript
+   var permissions = [
+     {
+       name: 'stream-context-item',
+     },
+   ];
+   ```
+
+1. Uncomment the function `streamContextItem` so it looks like this:
+
+   ```javascript
+   this.componentManager.streamContextItem((item) => {
+     this.note = item;
+     this.notifyObserversOfUpdate();
+   });
+   ```
+
+   Whenever a change is made to the working note, the block in that function will be called automatically.
+
+1. In `app/components/Home.js`, create a function called `analyzeNote` that will count the number of words in the note's text:
+
+   ```javascript
+   analyzeNote() {
+   	let wordCount = this.state.note.content.text.match(/\b/gm).length / 2;
+   	this.setState({wordCount: wordCount});
+   }
+   ```
+
+1. In the constructor of the Home class, call `analyzeNote` in the BridgeManager updateObserver so that it looks like this:
+
+   ```javascript
+   BridgeManager.get().addUpdateObserver(() => {
+     this.setState({ note: BridgeManager.get().getNote() });
+     this.analyzeNote();
+   });
+   ```
+
+1. In the `render` function, add the following inside the first `div` of the `{this.state.note}` conditional:
+
+   ```html
+   <p>Number of words: <strong>{this.state.wordCount}</strong></p>
+   ```
+
+Save all changes, then reload the entire Standard Notes web page. You should now see your word count update live as you type.
+
+**Important:** The dev server auto-reloads the extension window inside Standard Notes, and by doing so, destroys the bridge connection between Standard Notes and the extension. Whenever you make a change, it's best to reload the entire Standard Notes window via Ctrl/Cmd + R in either the web or desktop app.
+
+---
+
+If you'd like to see the finished product, switch to the `word-count` branch:
+
+```bash
+git checkout word-count
+```
+
+## Available Areas
+
+Areas tell Standard Notes where to display a particular component. The current list of available areas are:
+
+| Key             | Description                                                                                                                                                                                                       |
+| :-------------- | :---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
+| `tags-list`     | replaces the tags pane with a custom component. We use this for the Folders component.                                                                                                                            |
+| `note-tags`     | replaces the editor pane's tags area with a custom component. We use this for autocomplete tags.                                                                                                                  |
+| `editor-stack`  | adds custom-sized components in a stack in the editor pane. This does not replace any native modules but simply adds layers on top of the editor pane. We use this for the Action Bar and GitHub Push components. |
+| `editor-editor` | replaces the plain text editor with a custom editor. We use this for all of our editors, including Markdown, Code, and Plus.                                                                                      |
+| `themes`        | replaces the default css styles with a custom set of styles.                                                                                                                                                      |
+
+![Image of areas](/img/extensions/areas.png)
+
+## Next Steps
+
+There are an unlimited number of things you can build with components that do anything from nested folders in the tags pane and autocomplete in the editor pane, to pushing notes to GitHub or WordPress.
+
+To see how we built [our own components](https://standardnotes.com/extensions), study the source code [available here](https://github.com/sn-extensions).
+
+For questions on development, [post in the forum](https://forum.standardnotes.org) or [join our Slack](https://standardnotes.com/slack).
+
+If you'd like to support Standard Notes and use our secure hosting to install all the components we have to offer, consider purchasing the [Extended subscription](https://standardnotes.com/extended).
diff --git a/docs/docs/extensions/editorkit.md b/docs/docs/extensions/editorkit.md
new file mode 100644
index 000000000..e66c4acf6
--- /dev/null
+++ b/docs/docs/extensions/editorkit.md
@@ -0,0 +1,38 @@
+---
+title: How to build editors with EditorKit
+sidebar_label: EditorKit
+description: How to use the Standard Notes EditorKit to build an editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+  - EditorKit
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+The EditorKit is a wrapper for the Components API to make it easier to develop editors for Standard Notes.
+
+## Examples
+
+The documentation for the EditorKit is incomplete. You can view the following examples to see how it is used.
+
+- [Token Vault](https://github.com/sn-extensions/token-vault)
+
+## Development
+
+The Standard Notes EditorKit is written in JavaScript and compiled with Webpack.
+
+## License
+
+The Standard Notes EditorKit is licensed under the GNU [AGPL-3.0-or-later](https://github.com/standardnotes/editor-kit/blob/master/LICENSE).
+
+## Resources
+
+- [GitHub](https://github.com/standardnotes/editor-kit)
+- [NPM](https://www.npmjs.com/package/sn-editor-kit)
diff --git a/docs/docs/extensions/editors-getting-started.md b/docs/docs/extensions/editors-getting-started.md
new file mode 100644
index 000000000..342099069
--- /dev/null
+++ b/docs/docs/extensions/editors-getting-started.md
@@ -0,0 +1,98 @@
+---
+slug: editors/getting-started
+id: editors-getting-started
+title: Getting Started with Building Editors
+sidebar_label: Getting Started
+description: Getting Started with Building Editors
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Getting Started with Building Editors
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Overview
+
+This page provides a list of links to the technologies and practices that we recommend using for building editors. These technologies are used in the [Editor Template - Create React App and TypeScript](https://github.com/standardnotes/editor-template-cra-typescript). If you are familiar with React, TypeScript, and Sass, then you can skip this overview and go straight to the [README.md of the Editor Template](https://github.com/standardnotes/editor-template-cra-typescript#readme).
+
+### Platforms
+
+- [GitHub](https://github.com/) - A website to store the source code of your editor and to host a usable copy of your editor
+
+### Programming Languages
+
+We recommend using the following programming languages to build editors:
+
+- [HTML](https://developer.mozilla.org/en-US/docs/Web/HTML) - A programming language for conveying meaning
+- [CSS](https://developer.mozilla.org/en-US/docs/Web/CSS) - A programming language for conveying style
+- [SCSS](https://sass-lang.com/documentation/syntax) - A programming language that is like CSS but is easier to write
+- [JavaScript](https://developer.mozilla.org/en-US/docs/Web/JavaScript) - A programming language for performing tasks
+- [TypeScript](https://www.typescriptlang.org/) - A programming language that is like JavaScript but is easier to check for errors
+
+### Environment
+
+To get started with building editors, we recommend downloading the following technologies on your desktop computer:
+
+- [Node.js](https://nodejs.org/) - An environment where you can run JavaScript code to run
+- NPM or [Yarn](https://yarnpkg.com/) - A [package manager](https://wikipedia.org/wiki/Package_manager) for the JavaScript programming language. NPM comes with Node.js, but we use Yarn
+- [Visual Studio Code](https://code.visualstudio.com/) - A text editor to edit the source files of your editor
+- [Git Bash](https://git-scm.com/downloads) - A tool to interact with your file system
+
+### Packages and Libraries
+
+We recommend using the following packages and libraries:
+
+- [Prettier](https://prettier.io/docs/en/index.html) - A package for formatting your code
+- [ESLint](https://eslint.org/docs/user-guide/getting-started) - A package for checking your JavaScript and TypeScript code for errors
+- [React](https://reactjs.org/docs/getting-started.html) - A library for building web applications using JavaScript
+- [Create React App](https://create-react-app.dev/) - A package that makes it easy to get started with React
+
+### Practices
+
+We recommend that you follow these practices:
+
+- [Conventional Commits](https://www.conventionalcommits.org/) - A specification for adding human and machine readable meaning to commit messages
+
+## Files
+
+The [Editor Template - Create React App and TypeScript](https://github.com/standardnotes/editor-template-cra-typescript) has the following files:
+
+```none
+editor-template-cra-typescript
+├── .gitignore
+├── .prettierrc
+├── LICENSE
+├── README.md
+├── package.json
+├── tsconfig.json
+├── yarn.lock
+├── public
+│   ├── favicon.ico
+│   ├── index.html
+│   ├── logo192.png
+│   ├── logo512.png
+│   ├── manifest.json
+│   ├── package.json
+│   ├── robots.txt
+│   └── sample.ext.json
+└── src
+    ├── Editor.test.tsx
+    ├── index.scss
+    ├── index.tsx
+    ├── logo.svg
+    ├── react-app-env.d.ts
+    ├── reportWebVitals.ts
+    ├── setupTests.ts
+    ├── components
+    │   └── Editor.tsx
+    └── stylesheets
+        ├── dark.scss
+        ├── main.scss
+        └── print.scss
+```
+
+When you are familiar with these technologies, follow the instructions in the [README.md of the Editor Template](https://github.com/standardnotes/editor-template-cra-typescript#readme).
diff --git a/docs/docs/extensions/editors.md b/docs/docs/extensions/editors.md
new file mode 100644
index 000000000..c41d52acd
--- /dev/null
+++ b/docs/docs/extensions/editors.md
@@ -0,0 +1,56 @@
+---
+slug: editors
+id: editors
+title: Building Editors for Standard Notes
+sidebar_label: Building Editors
+description: Building Editors for Standard Notes
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Building Editors for Standard Notes
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+Editors are front-end extensions for Standard Notes. They provider users with a custom way to interact with the contents of their notes. For more information on editors in the Standard Notes ecosystem from the user's perspective, please see ["What are Editors?"](https://standardnotes.com/help/77/what-are-editors). In this article, we provide motivation and information about building editors.
+
+## Why build editors
+
+The process of building editors is like this: research, design, develop, document, publish/release, market, and repeat. Here are four big reasons to go through the process of building your own editor:
+
+1. **Building editors is fun.** When you build editors, you can practice your creativity and imagination. Editors are like works of art that you can use to help you accomplish a goal, and creating works of art can be fun at any skill level.
+
+2. **Building editors can help other people.** When you build editors to solve a problem that you have, there are probably other people who have similar problems. You can share your editor with them, help them solve their problems, and enjoy the feeling of knowing that you are helping others.
+
+3. **Building editors gives you control over their features.** When you build editors, you can choose which features to implement and how they work, and you can implement them at your own pace. The engineering team at Standard Notes tends to focus on improving the core products, services, and infrastructure. If you have an idea or feature that you want to implement at the editor level of the ecosystem, then you can pursue it and have full control over it. You can have control over the future of your relationship with private productivity.
+
+4. **Building editors is a great learning experience.** When you build editors, you can learn more about yourself and what you like to do. The entire process of building editors improves your fluency in skills that are important for a variety of career opportunities in the technology industry, including software development, software engineering, product design, product management, and technical writing. Building editors is a great way to gain more experience and to get involved in the technology industry.
+
+The engineering team at Standard Notes works to solve many difficult problems so you, a developer of editors, do not have to worry about them. These problems include how to sync the contents of the notes between mobile and desktop devices with end-to-end encryption, how to make the sync work instantaneously, and how to make the notes secure on each device. They work to create a way for editors to communicate with the main notes application and make it easy for that communication to work offline.
+
+Free tools such as GitHub provide a place for you to store the source code of your editor and deploy a version of it to a highly available, global content delivery network without having to worry about server management.
+
+With Standard Notes and GitHub, you can create very sophisticated single page applications without having to worry about problems in back-end engineering. The Standard Notes community has many members who are ready and available to experience new innovations in note-taking and private productivity. When building editors in Standard Notes, you do not have to worry about not having a market for your creations. You can focus on creating and be confident that we will be excited to see what you build.
+
+## Licensing
+
+Standard Notes provides you with a wealth of opportunities to get started with front-end software engineering. The editors communicate with the Standard Notes application through an open-source library called the [Component Relay](https://github.com/standardnotes/component-relay).
+
+The Component Relay is released under the [Affero General Public License Version 3.0](https://github.com/standardnotes/component-relay/blob/main/LICENSE) or any later version (AGPL-3.0-or-later). This a summary of the license provided by GitHub:
+
+> Permissions of this strongest copyleft license are conditioned on making available complete source code of licensed works and modifications, which include larger works using a licensed work, under the same license. Copyright and license notices must be preserved. Contributors provide an express grant of patent rights. When a modified version is used to provide a service over a network, the complete source code of the modified version must be made available.
+
+In other words, if you build an editor with the Component Relay and give copies of it to other people or let them use it, then you are legally obligated to provide them with the source code of the editor under the same license (AGPL-3.0-or-later). A common and easy way to do this is to host the source code in a public repository on GitHub.
+
+We use AGPL-3.0-or-later to protect the community. Without the license, large technology companies (think "big tech") and startups backed by venture capital could potentially copy Standard Notes technology, rebrand it, and use the rebranded copy to drive Standard Notes out of business, thereby eliminating the future of Standard Notes as a commercially viable product and service. The Standard Notes community depends on Standard Notes being free, open-source, and trustworthy for many years to come, and the community is important and essential to us, so we use the AGPL-3.0 license. You are free to solicit fees and donations when marketing your editor, but we ask that you respect the license to help us protect the community.
+
+## Standard Notes as an operating system
+
+Operating systems such as MacOS, Windows, and Linux allow users to build their own desktop apps and run them on their computer as they please. Similarly, Standard Notes allows developers to build their own editors and use them in their Standard Notes app as they please. Therefore, you can think of Standard Notes as an operating system. The possibilities for building editors (apps) for the Standard Notes operating system are almost endless. Some possibilities to get you started include editors for code, markdown, rich text, passwords, bookmarks, calendars, charts, grids, kanban boards, presentation slides, spreadsheets, timelines, to-do lists, two-factor authentication codes, and other structured secrets. Think of a problem that you want to solve, and try building an editor to solve it.
+
+[Get Started with Building Editors →](./editors-getting-started.md)
diff --git a/docs/docs/extensions/intro.md b/docs/docs/extensions/intro.md
new file mode 100644
index 000000000..3607e7a40
--- /dev/null
+++ b/docs/docs/extensions/intro.md
@@ -0,0 +1,44 @@
+---
+slug: intro
+id: intro
+title: Intro to Extensions
+sidebar_label: Intro to Extensions
+description: Documentation for the Standard Notes Extensions.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Philosophy
+
+Standard Notes is built on the core principle of simplicity, in hopes of optimizing for longevity. This requires a different sort of architecture and long-term thinking. In today's environment, adding new features can be as easy as installing an external library and hooking it up with just a few lines of code. It's all too common that developers, in hopes of attracting more and more users, add more and more features to their app, until inevitably, the app bloats to oblivion and becomes impossible to maintain.
+
+Rather than tightly couple every feature we dream of building for Standard Notes into the core application code, we chose to design Standard Notes to be thoroughly extensible. This allows us to experiment with new features without polluting the core application and threatening its stability and survivability.
+
+## Sustainability
+
+The Extensions model is also our main fundraising method, and allows us to to offer our core privacy experience at no cost, while sustaining future development by offering advanced features through our [Extended](https://standardnotes.com/extended) program.
+
+Most of our extensions are [open-source](https://github.com/sn-extensions) and available for self-hosting. You can also learn to develop your own extensions by following the guides on this site. However, we encourage you to support the sustainability and future development of this project by [purchasing a subscription](https://standardnotes.com/extensions).
+
+## Types
+
+There are 3 main types of extensions:
+
+1. **Components**: Components are user interface elements that completely swap out areas of Standard Notes with custom behavior. Components include editors (such as the [Markdown Pro Editor](https://standardnotes.com/extensions/markdown-pro) and [Plus Editor](https://standardnotes.com/extensions/plus-editor)), editor stack components (like the [Action Bar](https://standardnotes.com/extensions/action-bar) and [FileSafe](https://standardnotes.com/extensions/filesafe)), and other components (like [Folders](https://standardnotes.com/extensions/folders) and [Quick Tags](https://standardnotes.com/extensions/quick-tags)).
+
+   **[Develop a component →](/extensions/building-an-extension)**
+
+2. **Themes**: Themes change the visual appearance of Standard Notes, and are compatible on all platforms, including desktop, web, and mobile. Some of our own themes include [Midnight](https://standardnotes.com/extensions/midnight) and [Solarized Dark](https://standardnotes.com/extensions/solarized-dark).
+
+   **[Develop a theme →](/extensions/themes)**
+
+3. **Actions**: Actions are an API-based extension interface that are accessible via the Actions menu in the note pane. Actions are triggered manually by the user by selecting an action from the list, and have the ability to interface with the current note and send or retrieve content from a remote server. We use actions for places such as [Listed](https://listed.to), which is our blogging platform for Standard Notes users.
+
+   **[Develop an action →](/extensions/actions)**
diff --git a/docs/docs/extensions/local-setup.md b/docs/docs/extensions/local-setup.md
new file mode 100644
index 000000000..cf365d095
--- /dev/null
+++ b/docs/docs/extensions/local-setup.md
@@ -0,0 +1,85 @@
+---
+id: local-setup
+title: Local Setup
+sidebar_label: Local Setup
+description: How to set up a development environment to build a Standard Notes extension.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+  - local setup
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+These instructions describe how to run an extension in a local environment.
+
+Installing an extension inside Standard Notes consists of two main components:
+
+- A JSON file that describes the extension, and includes metadata such as the extension's current version, description, hosted URL, and download URL.
+- The source code for the extension.
+
+To get your extension running locally, both of these components must be hosted on a local web server. In this guide, we'll use the command line server `http-server`.
+
+## Steps
+
+1. Install http-server:
+
+   ```bash
+    npm install -g http-server
+   ```
+
+1. In your extension's root directory, run the following command to begin hosting your local server:
+
+   ```bash
+   http-server -p 8001 --cors
+   ```
+
+   The `--cors` option allows the Standard Notes app to load your extension via cross-origin resource sharing (required).
+
+1. In your extension's root directory, create a file called `ext.json`.
+
+1. Place, at minimum, the following key/value pairs. For the full listing of keys, see the [Publishing guide](/extensions/publishing).
+
+   ```json
+   {
+     "identifier": "org.yourdomain.my-extension",
+     "name": "My Extension",
+     "content_type": "SN|Component",
+     "area": "editor-editor",
+     "version": "1.0.0",
+     "url": "http://localhost:8001"
+   }
+   ```
+
+   The `url` should point to where your extension's index.html is hosted on your local server.
+   The `area` describes what kind of extension this will be. A list of valid values can be found in the [Publishing guide](/extensions/publishing).
+
+1. In your browser, open http://localhost:8001/ext.json and make sure you see the JSON file content from above.
+
+1. Copy the `url` from the JSON content and open it in your browser. Here, you should see your actual extension running. Your server will look for an `index.html` file by default.
+
+   If your main HTML file is called something different, or is not located in the root directory, simply change the `url` value in the JSON file to reflect this location. For example:
+
+   ```bash
+   url: "http://localhost:8001/dist/index.html"
+   ```
+
+1. At this point, your extension is ready to be installed. Open **Standard Notes**, and click on **Extensions** in the lower left corner of the app.
+
+1. In the bottom right of the **Extensions** window, click **Import Extension**. In the Extension Link field, enter the URL of your ext.json file. In this case, it will be `http://localhost:8001/ext.json`. Then press enter.
+
+1. You should see a message that your extension was successfully installed. You can now scroll up in the **Extensions** window, and click **Activate** next to your extension to run it. If it is an editor, Editors can be activated via the **Editor menu** in the note panel, under the note title.
+
+---
+
+### Themes
+
+If you're creating a theme, you would follow the same instructions, and for `area` in the JSON file, use "themes", and for the URL, it should link directly to your css file, i.e `http://localhost:8001/theme.css`.
+
+### Publishing
+
+Once you're ready to ship your extension in a production environment, check out the [Publishing guide](/extensions/publishing) to learn more about configuring your extension to autoupdate and be installed in an offline environment.
diff --git a/docs/docs/extensions/publishing.md b/docs/docs/extensions/publishing.md
new file mode 100644
index 000000000..8a653270b
--- /dev/null
+++ b/docs/docs/extensions/publishing.md
@@ -0,0 +1,101 @@
+---
+id: publishing
+title: Publishing
+sidebar_label: Publishing
+description: How to publish an extension for Standard Notes.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+  - publish an extension
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Once you've crafted the code for your extension, you'll need to create a JSON description of your package, so that it can be imported using the Extension manager.
+
+The JSON description must be hosted on a URL the app can reach out to. In these steps, we'll use Listed to generate a JSON endpoint.
+
+## Steps:
+
+1. Create a new note in Standard Notes called "my-extension.json", and enter the following as its contents:
+
+```json
+---
+metatype: json
+---
+
+{
+  "identifier": "org.yourdomain.my-markdown-editor",
+  "name": "My Markdown Editor",
+  "content_type": "SN|Component",
+  "area": "editor-editor",
+  "version": "1.0.0",
+  "description": "A fully featured Markdown editor that supports live preview, a styling toolbar, and split pane support.",
+  "url": "https://domain.org/link-to-hosted-extension",
+  "download_url": "https://github.com/sn-extensions/advanced-markdown-editor/archive/1.0.184.zip",
+  "latest_url": "https://listed.to/my-extension-json-link",
+  "marketing_url": "https://standardnotes.com/extensions/advanced-markdown",
+  "thumbnail_url": "https://domain.org/editors/adv-markdown.jpg"
+}
+```
+
+1. Head over to [listed.to](https://listed.to), and generate an account by clicking "Generate Author Link". Copy that link, then, in the Extensions menu in Standard Notes, click "Import Extension" in the bottom right corner. Paste in your link, and press enter, then accept.
+
+2. Back in your "my-extension.json" note, click "Actions" in the menu bar below the note title, then click "Publish to Private Link". Click "Open Private Link" to preview your JSON endpoint.
+
+3. In the Extensions window, click "Import Extension", and paste in your JSON endpoint, press Enter, then accept to install your extension.
+
+### Key Descriptions
+
+| Key           | Description                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
+| :------------ | :------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |
+| identifier    | A unique, reverse domain style identifier for your extension.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |
+| name          | The name of your extension.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       |
+| content_type  | Generally SN&#124;Component, or SN&#124;Theme if theme package.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |
+| area          | One of \[editor-editor, editor-stack, themes, note-tags, tags-list\]                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |
+| version       | The current version of your extension. Needs to match the version in your GitHub repo's package.json file.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |
+| description   | The description that will be displayed in the Extensions browser.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 |
+| url           | Used by the web and mobile app. This value is the location of the hosted extension. It must be a link to either an HTML file \(for components\) or a CSS file \(for themes\).                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |
+| download_url  | Used by the desktop app. Must be a zip file. Caters strongly to GitHub auto-generated release files. The zip file must contain a package.json file with at least a version key. By default, the desktop app will look for an "index.html" in the root directory of the zip file. \(Note that if using GitHub auto-generated zip files, the contents of the zip file are embedded within a folder. The desktop app automatically unnests the folder contents and moves it up one level so it is on the root level.\) If your main file is not called index.html, or if it is a CSS file, please see below in "Local Installation" under "To specify the root file of your extension" instructions. |
+| marketing_url | If specified, the Extensions manager will display an "Info" button, which on click, will open a web browser to this location.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |
+| thumbnail_url | The image the Extensions manager will display for your extension.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 |
+
+## Local Installation
+
+Extensions in Standard Notes desktop support local installation. We recommend using GitHub releases to host your download file.
+
+1. In your extension repository on GitHub, go to the Releases tab, then click "Draft New Release".
+
+2. Click "Publish release" \(you don't need to enter any information\). Standard Notes will use the auto-generated "Source code \(zip\)" archive that GitHub generates.
+
+3. Right click on "Source code \(zip\)", then choose the option to Copy Link Address. Use this value for `download_url` in your JSON contents.
+
+By default, Standard Notes will look for the `index.html` file located in the root of the project. If your main file is not in the root, you can specify a custom path.
+
+### To specify the root file of your extension:
+
+1. In your extension's repository, create a file called `package.json` if it does not already exist.
+
+2. Add the following entry anywhere in the root level of `package.json`:
+
+```json
+...
+  "sn": {
+    "main": "relative/path/to/index.html"
+  },
+...
+```
+
+`main` can also be a CSS file if you're publishing a theme.
+
+## Autoupdate
+
+Standard Notes will ping the `latest_url`endpoint automatically to update extensions. For this value, you can use the same JSON endpoint you're using for `url` \(your `my-extension.json` endpoint\).
+
+## Questions?
+
+Join the [Slack group](https://standardnotes.com/slack) and ask away in the \#dev channel.
diff --git a/docs/docs/extensions/stylekit.md b/docs/docs/extensions/stylekit.md
new file mode 100644
index 000000000..86cb97738
--- /dev/null
+++ b/docs/docs/extensions/stylekit.md
@@ -0,0 +1,28 @@
+---
+title: How to use the Standard Notes StyleKit
+sidebar_label: StyleKit
+description: How to use the Standard Notes StyleKit when building an extension.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+  - StyleKit
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Each of the Standard Notes themes use a common set of CSS variables. With the Standard Notes StyleKit, you can use those variables inside the editors.
+
+You can find a list of variables [here](/extensions/themes).
+
+## License
+
+The Standard Notes StyleKit is licensed under the GNU [AGPL-3.0-or-later](https://github.com/sn-extensions/StyleKit/blob/master/LICENSE).
+
+## Resources
+
+- [GitHub](https://github.com/sn-extensions/StyleKit)
+- [NPM](https://www.npmjs.com/package/sn-stylekit)
diff --git a/docs/docs/extensions/themes.md b/docs/docs/extensions/themes.md
new file mode 100644
index 000000000..1d008b1d9
--- /dev/null
+++ b/docs/docs/extensions/themes.md
@@ -0,0 +1,132 @@
+---
+id: themes
+title: Themes
+sidebar_label: Themes
+description: How to build a theme for Standard Notes.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - build an extension
+  - theme
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Themes allow you to customize the look and feel of the Standard Notes app on all platforms.
+
+You can view the [source code](https://github.com/sn-extensions/solarized-dark-theme) of our official themes in order to best understand how to create your own theme.
+
+For how to install a theme, please see [Publishing](/extensions/publishing).
+
+## Creating a theme
+
+Themes are simple CSS files which override a few variables to style the look of the application. **CSS themes will automatically work on mobile.** Your CSS file should contain content similar to the below.
+
+_Note that font and font sizes do not apply to mobile; only desktop/web._
+
+```css
+:root {
+  --sn-stylekit-base-font-size: 14px;
+
+  --sn-stylekit-font-size-p: 1rem;
+  --sn-stylekit-font-size-editor: 1.21rem;
+
+  --sn-stylekit-font-size-h6: 0.8rem;
+  --sn-stylekit-font-size-h5: 0.9rem;
+  --sn-stylekit-font-size-h4: 1rem;
+  --sn-stylekit-font-size-h3: 1.1rem;
+  --sn-stylekit-font-size-h2: 1.2rem;
+  --sn-stylekit-font-size-h1: 1.3rem;
+
+  --sn-stylekit-neutral-color: #989898;
+  --sn-stylekit-neutral-contrast-color: white;
+
+  --sn-stylekit-info-color: #086dd6;
+  --sn-stylekit-info-contrast-color: white;
+
+  --sn-stylekit-success-color: #2b9612;
+  --sn-stylekit-success-contrast-color: white;
+
+  --sn-stylekit-warning-color: #f6a200;
+  --sn-stylekit-warning-contrast-color: white;
+
+  --sn-stylekit-danger-color: #f80324;
+  --sn-stylekit-danger-contrast-color: white;
+
+  --sn-stylekit-shadow-color: #c8c8c8;
+  --sn-stylekit-background-color: white;
+  --sn-stylekit-border-color: #e3e3e3;
+  --sn-stylekit-foreground-color: black;
+
+  --sn-stylekit-contrast-background-color: #f6f6f6;
+  --sn-stylekit-contrast-foreground-color: #2e2e2e;
+  --sn-stylekit-contrast-border-color: #e3e3e3;
+
+  --sn-stylekit-secondary-background-color: #f6f6f6;
+  --sn-stylekit-secondary-foreground-color: #2e2e2e;
+  --sn-stylekit-secondary-border-color: #e3e3e3;
+
+  --sn-stylekit-secondary-contrast-background-color: #e3e3e3;
+  --sn-stylekit-secondary-contrast-foreground-color: #2e2e2e;
+  --sn-styleki--secondary-contrast-border-color: #a2a2a2;
+
+  --sn-stylekit-editor-background-color: var(--sn-stylekit-background-color);
+  --sn-stylekit-editor-foreground-color: var(--sn-stylekit-foreground-color);
+
+  --sn-stylekit-paragraph-text-color: #454545;
+
+  --sn-stylekit-input-placeholder-color: rgb(168, 168, 168);
+  --sn-stylekit-input-border-color: #e3e3e3;
+
+  --sn-stylekit-scrollbar-thumb-color: #dfdfdf;
+  --sn-stylekit-scrollbar-track-border-color: #e7e7e7;
+
+  --sn-stylekit-general-border-radius: 2px;
+
+  --sn-stylekit-monospace-font: 'Ubuntu Mono', courier, monospace;
+  --sn-stylekit-sans-serif-font: -apple-system, BlinkMacSystemFont, 'Segoe UI',
+    'Roboto', 'Oxygen', 'Ubuntu', 'Cantarell', 'Fira Sans', 'Droid Sans',
+    'Helvetica Neue', sans-serif;
+    
+  --sn-stylekit-grey-1:  #72767e;
+  --sn-stylekit-grey-2:  #bbbec4;
+  --sn-stylekit-grey-3:  #dfe1e4;
+  --sn-stylekit-grey-4:  #eeeff1;
+  --sn-stylekit-grey-4-opacity-variant:  #bbbec43d;
+  --sn-stylekit-grey-5:  #f4f5f7;
+  --sn-stylekit-grey-6:  #e5e5e5;
+  
+  --sn-stylekit-accessory-tint-color-1:  #086dd6;
+  --sn-stylekit-accessory-tint-color-2:  #ea6595;
+  --sn-stylekit-accessory-tint-color-3:  #ebad00;
+  --sn-stylekit-accessory-tint-color-4:  #7049cf;
+  --sn-stylekit-accessory-tint-color-5:  #1aa772;
+  --sn-stylekit-accessory-tint-color-6:  #f28c52;
+}
+```
+
+In order to get SN to display a dock icon for your theme (a circle in the lower right corner of the app that allows you to quickly toggle themes), add the following payload into the your ext.json file when [publishing your theme](/extensions/publishing):
+
+```json
+"dock_icon": {
+   "type": "circle",
+   "background_color": "#086DD6",
+   "foreground_color": "#ffffff",
+   "border_color": "#086DD6"
+}
+```
+
+### Reloading Mobile Themes
+
+The mobile app will download a theme once and cache it indefinitely. If you're installing your own mobile theme and make changes, you can press and hold on the theme name in the list to bring up the option to re-download the theme from the server.
+
+### 3.9.15 Changes
+
+Since v3.9.15, the items in the notes list use a new variable for the background color, which will partially break the look of your theme when a note is selected or is hovered upon. In order to fix this, override the `--sn-stylekit-grey-5` color to one which fits your theme. You might also need to override the `--sn-stylekit-grey-4-opacity-variant` variable if the tags inside the note item don't look correct.
+
+## Licensing
+
+Our themes are provided open-source mainly for educational and quality purposes. You're free to install them on your own servers, but please consider subscribing to [Standard Notes Extended](https://standardnotes.com/extensions) to help sustain future development of the Standard Notes ecosystem.
diff --git a/docs/docs/self-hosting/configuration-options.md b/docs/docs/self-hosting/configuration-options.md
new file mode 100644
index 000000000..c6cbea072
--- /dev/null
+++ b/docs/docs/self-hosting/configuration-options.md
@@ -0,0 +1,175 @@
+---
+slug: configuration-options
+id: configuration-options
+title: Configuration options
+sidebar_label: Configuration options
+description: Manage options for your Standard Notes Standalone Infrastructure.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - sync server
+  - configuration options
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Note
+
+After changing any of the environment variables mentioned below you will have to restart the infrastructure in order for the changes to take effect. You can do so with the following command:
+
+  ```bash
+  $ ./server.sh stop && ./server.sh start
+  ```
+
+
+## Syncing Server JS & Syncing Server Worker
+
+All configuration options mentioned below are controlled by environment variables located in the `.env` file.
+
+### Basics
+
+- `LOG_LEVEL`: the level of logs outputted by the Syncing Server JS and Syncing Server JS Worker services.
+- `NODE_ENV`: Node environment in which the service is running.
+
+### Secrets
+
+- `AUTH_JWT_SECRET`: secret used to sign the JWT tokens that are used for authorization & authentication purposes between services.
+
+### Ports
+
+- `EXPOSED_PORT`: the port on which the API Gateway will run. It is your main entry point for the entire infrastructure.
+
+### Database
+
+- `DB_HOST`: database host.
+- `DB_REPLICA_HOST`: database replica host. If no replica is supported it should point to the same host as the primary DB.
+- `DB_PORT`: database port.
+- `DB_USERNAME`: database username.
+- `DB_PASSWORD`: database password.
+- `DB_DATABASE`: database name.
+- `DB_DEBUG_LEVEL`: the level of logs which are outputted in the database context. Related to TypeORM.
+- `DB_MIGRATIONS_PATH`: path to migrations folder that should be run against the database. Related to TypeORM.
+
+### Cache
+
+- `REDIS_URL`: url to Redis node.
+
+### Redis Async Communication (Default)
+
+- `REDIS_EVENTS_CHANNEL`: name of the Redis Pub/Sub channel used for communication between the service and its worker.
+
+### AWS Async Communication (Optional)
+
+If you do not want to use Redis as the communication channel between services, you can configure your async communication to be done via Amazon Web Services.
+
+> **Note** We do not support configuring AWS secret and access keys in the environment variables as this is generally bad practice. If you would like to utilize SNS, SQS and S3, please configure an appropriate IAM user and role for the server on which you self-host your application as [best practice](https://docs.aws.amazon.com/IAM/latest/UserGuide/best-practices.html#sharing-credentials).
+
+- `SNS_TOPIC_ARN`: ARN of the SNS topic that the service will publish events to.
+- `SNS_AWS_REGION`: AWS region of the SNS topic.
+- `SQS_QUEUE_URL`: URL of the SQS queue from which a worker will consume events.
+- `SQS_AWS_REGION`: AWS region of the SQS queue.
+- `S3_BACKUP_BUCKET_NAME`: name of the S3 bucket on which a file backup will be performed to transfer large data between services.
+- `S3_AWS_REGION`: AWS region of the S3 bucket.
+
+### Auth Service
+
+-`AUTH_SERVER_URL`: url to the Auth service. Default value should be kept.
+
+### Emails
+
+- `EMAIL_ATTACHMENT_MAX_BYTE_SIZE`: Amount of bytes allowed for daily email backup attachments.
+
+### Revisions
+
+- `REVISIONS_FREQUENCY`: Amount of seconds that should pass between each save of a note for a new history revision to be created.
+
+### New Relic (Optional)
+
+We are utilizing New Relic to monitor our infrastructure. If you wish to set up your own monitoring in New Relic you can utilize the following environment variables:
+
+- `NEW_RELIC_ENABLED`: enable or disable New Relic agent.
+- `NEW_RELIC_APP_NAME`: name of the application to show in New Relic.
+- `NEW_RELIC_LICENSE_KEY`: New Relic license key.
+- `NEW_RELIC_NO_CONFIG_FILE`: should be true as we do not use configuration files for New Relic and fallback to environment variables.
+- `NEW_RELIC_DISTRIBUTED_TRACING_ENABLED`: enable or disable distrubuted tracing.
+- `NEW_RELIC_LOG_ENABLED`: enable or disable logs in New Relic.
+- `NEW_RELIC_LOG_LEVEL`: level of logs in New Relic.
+
+## Auth & Auth Worker
+
+All configuration options mentioned below are controlled by environment variables located in the `docker/auth.env` file.
+
+### Basics
+
+- `LOG_LEVEL`: the level of logs outputted by the Auth and Auth Worker services.
+- `NODE_ENV`: Node environment in which the service is running.
+
+### Secrets
+
+- `JWT_SECRET`: secret used to sign the JWT tokens that are used for authorization & authentication purposes between client and server.
+- `LEGACY_JWT_SECRET`: This parameter is a fallback for supporting old client applications that had a different authorization mechanism. You don't need to change this if you are just starting to self-host your setup and do not own a legacy client application.
+- `AUTH_JWT_TTL`: Time to live in seconds for the JWT token used for communication between services.
+- `PSEUDO_KEY_PARAMS_KEY`: key used to generate password nonce in the process of creating user authentication parameters.
+- `ENCRYPTION_SERVER_KEY`: key used for ecrypting user server key. Must be a hex string exactly 32 bytes long e.g. `feffe9928665731c6d6a8f9467308308feffe9928665731c6d6a8f9467308308`.
+
+### Authentication and Authorization
+
+- `ACCESS_TOKEN_AGE`: time to live (in seconds) of the access token used to communicate with the server.
+- `REFRESH_TOKEN_AGE`: time to live (in seconds) of the refresh token used to obtain a new access token.
+- `EPHEMERAL_SESSION_AGE`: time to live (in seconds) of an ephemeral session. Used when you sign in without the "Stay signed in" option checked.
+- `MAX_LOGIN_ATTEMPTS`: number of login attempts before locking the account.
+- `FAILED_LOGIN_LOCKOUT`: lockout period in seconds after maximum failed login attempts.
+
+### Redis Async Communication (Default)
+
+- `REDIS_EVENTS_CHANNEL`: name of the Redis Pub/Sub channel used for communication between the service and its worker.
+
+### Syncing Server Service
+
+-`SYNCING_SERVER_URL`: url to the Syncing Server service. Default value should be kept.
+
+### Disabling new user registrations
+
+- `DISABLE_USER_REGISTRATION`: disable the option to register new users on the server.
+
+### New Relic (Optional)
+
+We are utilizing New Relic to monitor our infrastructure. If you wish to set up your own monitoring in New Relic you can utilize the following environment variables:
+
+- `NEW_RELIC_ENABLED`: enable or disable New Relic agent.
+- `NEW_RELIC_APP_NAME`: name of the application to show in New Relic.
+- `NEW_RELIC_LICENSE_KEY`: New Relic license key.
+- `NEW_RELIC_NO_CONFIG_FILE`: should be true as we do not use configuration files for New Relic and fallback to environment variables.
+- `NEW_RELIC_DISTRIBUTED_TRACING_ENABLED`: enable or disable distrubuted tracing.
+- `NEW_RELIC_LOG_ENABLED`: enable or disable logs in New Relic.
+- `NEW_RELIC_LOG_LEVEL`: level of logs in New Relic.
+
+## API Gateway
+
+All configuration options mentioned below are controlled by environment variables located in the `docker/api-gateway.env` file.
+
+### Basics
+
+- `LOG_LEVEL`: the level of logs outputted by the API Gateway service.
+- `NODE_ENV`: Node environment in which the service is running.
+
+### Routing
+
+- `SYNCING_SERVER_JS_URL`: url to the Syncing Server JS service.
+- `AUTH_SERVER_URL`: url to the Auth service.
+
+### New Relic (Optional)
+
+We are utilizing New Relic to monitor our infrastructure. If you wish to set up your own monitoring in New Relic you can utilize the following environment variables:
+
+- `NEW_RELIC_ENABLED`: enable or disable New Relic agent.
+- `NEW_RELIC_APP_NAME`: name of the application to show in New Relic.
+- `NEW_RELIC_LICENSE_KEY`: New Relic license key.
+- `NEW_RELIC_NO_CONFIG_FILE`: should be true as we do not use configuration files for New Relic and fallback to environment variables.
+- `NEW_RELIC_DISTRIBUTED_TRACING_ENABLED`: enable or disable distrubuted tracing.
+- `NEW_RELIC_LOG_ENABLED`: enable or disable logs in New Relic.
+- `NEW_RELIC_LOG_LEVEL`: level of logs in New Relic.
diff --git a/docs/docs/self-hosting/docker.md b/docs/docs/self-hosting/docker.md
new file mode 100644
index 000000000..798272ca2
--- /dev/null
+++ b/docs/docs/self-hosting/docker.md
@@ -0,0 +1,129 @@
+---
+slug: docker
+id: docker
+title: Self-hosting with Docker
+sidebar_label: Docker
+description: How to self-host the Standard Notes infrastructure with Docker.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - sync server
+  - docker
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Requirements
+
+These instructions make the following assumptions:
+
+- The machine you will be running the infrastructure on has at least 2GB of memory.
+- You've just finished setting up a Linux server (say, Ubuntu 20.04 64-bit) and have installed [Docker](https://docs.docker.com/get-docker/) and [Docker Compose](https://docs.docker.com/compose/install/) on it.
+- Due to mounted volumes we recommend running the setup as a root user. If you wish to run it as non-root user please remember about the [post-installation steps for Linux](https://docs.docker.com/engine/install/linux-postinstall#manage-docker-as-a-non-root-user).
+- You've configured your security groups to allow for incoming SSH connections from your local IP.
+- You've configured your security groups to allow for incoming TCP connections on port 80 and 443 from at least your local IP.
+- You've configured a domain name (or subdomain) to point to your server's IP address.
+
+## Getting started
+
+> **Note** If you are a user with an already existing legacy database of the Syncing Server, we've prepared a [Migrating from Legacy guide](./legacy-migration.md).
+
+SSH into your server and follow the steps below:
+
+1. Make sure you are in your home directory and clone the [Standard Notes Standalone Infrastructure](https://github.com/standardnotes/standalone) project:
+
+   ```bash
+   $ cd ~
+   $ git clone --single-branch --branch main https://github.com/standardnotes/standalone.git
+   $ cd standalone
+   ```
+
+1. Initialize default configuration files by typing:
+
+   ```bash
+   $ ./server.sh setup
+   ```
+
+1. Customize your configuration
+
+  There are 5 environment variables that need to be filled in with generated secret keys:
+
+   - `AUTH_JWT_SECRET` in the `.env` file
+   - `JWT_SECRET`, `LEGACY_JWT_SECRET`, `PSEUDO_KEY_PARAMS_KEY`, and `ENCRYPTION_SERVER_KEY` in the `docker/auth.env` file
+
+  You can generate values for them by using:
+
+  ```bash
+   $ openssl rand -hex 32
+   ```
+
+  > **Note** The server must be restarted any time environment variables are changed.
+
+1. (Optional) Customize the port
+
+  By default the syncing server will run on port 3000. If you have a different service running on that port, you can customize the port on which you want to run the infrastructure on. To do so, edit the `EXPOSED_PORT` variable in the `.env` file.
+
+2. Simply run:
+
+   ```bash
+   $ ./server.sh start
+   ```
+
+   This should load all the microservices that the infrastructure consists of.
+
+  > **Note** The first run might take a few minutes as there are Docker images that need be pulled and built as well as migrations to be run for initializing the database.
+
+3. Wait for the infrastructure to bootstrap
+
+   It takes a moment for the infrastructure to bootstrap and all the microservices to start. You can observe the process by typing:
+
+   ```bash
+   $ ./server.sh logs
+   ```
+
+  > **Note** You can safely escape from logs with CTRL+C
+
+  > **Note** Microservices depend on each other and start sequentially in our setup. In the logs you will likely observe that one service is waiting for another to start with lines like: "XYZ is unavailable yet - waiting for it to start" where XYZ is the dependent service name. This is expected.
+
+   Everything should be up and running once you observe that the `API Gateway` service has started by seeing the following line as one of the last ones in logs:
+
+   ```
+   api-gateway_1 | {"message":"Server started on port 3000","level":"info"}
+   ```
+
+   You can also check the state of all services via:
+
+   ```bash
+   $ ./server.sh status
+   ```
+
+   All services should be in `Up` state at this stage.
+
+4. Test your access to the server locally:
+
+   You should be able now to check that the syncing server is running by checking `http://localhost:3000/healthcheck`:
+
+   ```bash
+   $ curl http://localhost:3000/healthcheck
+   OK
+   ```
+
+   > **Note** If you changed the `EXPOSED_PORT` variable you will have to check `http://localhost:{EXPOSED_PORT}/healthcheck`.
+
+5. You're done!
+
+## Securing Your Server
+
+In order to start using your new server with the Standard Notes app at https://app.standardnotes.com you will have to configure an HTTPS reverse proxy.
+
+Unless you already have an HTTP/HTTPS server running that will serve as a reverse proxy to the standalone infrastructure, head over to [Securing HTTP traffic of your Sync server](./https-support.md).
+
+## Using your new server
+
+In the account menu, choose `Advanced options` and enter the address of your new server in `Custom sync server`.
+
+Then, register for a new account or log into an existing account and begin using your private new secure Standard Notes server!
diff --git a/docs/docs/self-hosting/file-uploads.md b/docs/docs/self-hosting/file-uploads.md
new file mode 100644
index 000000000..f328eb81b
--- /dev/null
+++ b/docs/docs/self-hosting/file-uploads.md
@@ -0,0 +1,58 @@
+---
+slug: file-uploads
+id: file-uploads
+title: File Uploads
+sidebar_label: File Uploads
+description: How to setup file uploading on your Standard Notes Standalone Server.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - files
+  - uploads
+  - docker
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Requirements
+
+In order to upload files you have to have an active subscription for your user. Read the [subscriptions](./subscriptions.md) page on instructions how to setup a subscription for yourself.
+
+## Troubleshooting
+
+### Files Server URL
+
+In your `.env` file the environment variable `FILES_SERVER_URL` has to be set to a publicly accessible url. The reason for that is that the clients are accessing the Files Server directly instead of via Api Gateway. Remember that if you are hosting your standalone instance on an external server then `localhost` is not the host that properly describes where the files server resides.
+
+### Upload directory write permissions
+
+The default upload directory is located inside the standalone folder under `data/uploads`. Depending on the running OS, you might encounter write permissions to that folder by the application. In that case the following commands might help:
+
+```bash
+chmod -R 775 data
+mkdir -p data/uploads
+sudo chmod -R 755 data/uploads
+sudo chown -R 1001.1001 data/uploads
+```
+
+### Limiting Storage Quota
+
+If you would like to limit the file upload quota for your user then make sure to run the following query on your database:
+
+```sql
+INSERT INTO subscription_settings(uuid, name, value, created_at, updated_at, user_subscription_uuid) VALUES (UUID(), "FILE_UPLOAD_BYTES_LIMIT", 10737418240, FLOOR(UNIX_TIMESTAMP(NOW(6))*1000000), FLOOR(UNIX_TIMESTAMP(NOW(6))*1000000), (SELECT us.uuid FROM user_subscriptions us INNER JOIN users u ON us.user_uuid=u.uuid WHERE u.email="EMAIL@ADDR"));
+```
+
+Note that this is setting the limit to 10GB (10737418240 bytes) for user with email `EMAIL@ADDR`
+
+### CloudFlare Missing Headers
+
+When using CloudFlare in conjuction with Nginx you might encounter an issue about missing `Accept-Ranges` header which is required for file downloading. As a fix please add this to your Nginx configuration:
+
+```
+proxy_cache off;
+```
diff --git a/docs/docs/self-hosting/getting-started.md b/docs/docs/self-hosting/getting-started.md
new file mode 100644
index 000000000..1d684f174
--- /dev/null
+++ b/docs/docs/self-hosting/getting-started.md
@@ -0,0 +1,43 @@
+---
+slug: getting-started
+id: getting-started
+title: Getting Started with Self-hosting
+sidebar_label: Getting Started
+description: How to get started with self-hosting Standard Notes Infrastructure.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - sync server
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Our self-hosted server infrastructure consists of several different microservices that are responsible for different sets of functionality. Our self-hosted server is only intended as the backend that processes and stores your data; it does not include self-hosting the web application, which is an optional process that must be done separately. You will be able to use our existing [web](https://app.standardnotes.com) and desktop app with your self-hosted server.
+
+## Get Started
+
+👉 **[Using our automated docker-compose setup with accompanying scripts](./docker.md)** 👈
+
+If you'd like to learn more about each of the particular services, head over to [Infrastructure Overview](./infrastructure-overview.md).
+
+> **Note** Our setup also provides a running MySQL database and a Redis cache node. You do not have to provision these services on your own. For users that have been self-hosting a legacy version of our server, we've prepared a [Migrating from Legacy guide](./legacy-migration.md).
+
+### Recommendations
+
+We highly recommend you use our Docker setup to host your syncing server. Docker containers are isolated software environments that you can control and manage.
+
+If you are new to Docker, please see the [official Docker documentation](https://docs.docker.com/get-started) on how to get started. Ensure you [install Docker-Compose](https://docs.docker.com/compose/install/) following the documentation. Your Linux distribution may not have the most up to date docker-compose and will fail to load.
+
+We recommend avoiding setting up your syncing server from scratch with Nginx unless you are proficient with Nginx. Setting up the full architecture can be challenging without full knowledge of how the syncing server and its microservices function.
+
+### Issues
+
+If you have any issues with setting up your syncing server, please [open an issue on GitHub](https://github.com/standardnotes/standalone/issues).
+
+## Web application
+
+If you would like to self-host the actual Standard Notes web application, visit the [repository for the web app on GitHub](https://github.com/standardnotes/web).
diff --git a/docs/docs/self-hosting/https-support.md b/docs/docs/self-hosting/https-support.md
new file mode 100644
index 000000000..5b6126d9d
--- /dev/null
+++ b/docs/docs/self-hosting/https-support.md
@@ -0,0 +1,93 @@
+---
+slug: https-support
+id: https-support
+title: Securing HTTP traffic of your Sync server
+sidebar_label: Securing HTTP traffic of your Sync server
+description: How to secure HTTP traffic of your Standard Notes Sync server.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - sync server
+  - secure http traffic
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+### Introduction
+
+These instructions will enable you to secure HTTP traffic of your standalone infrastructure, using a reverse proxy with `Nginx`.
+
+#### Pre-requisites
+
+- Your standalone infrastructure is running on our [docker](./docker.md) setup
+- You've installed `nginx` in your server.
+- You've configured a domain name (or subdomain) to point to your server's IP address.
+
+### Getting started
+
+#### Setting up Nginx
+
+1. Disable the default virtual host:
+
+  ```bash
+  unlink /etc/nginx/sites-enabled/default
+  ```
+
+1. Create a new file named `standardnotes.conf` within `/etc/nginx/sites-available`:
+
+  ```
+  server {
+    listen 80;
+    listen [::]:80;
+    server_name yourdomain.com;
+
+    access_log /var/log/nginx/standardnotes-access.log;
+    error_log /var/log/nginx/standardnotes-error.log;
+
+    client_max_body_size 50M;
+
+    location / {
+      proxy_pass http://127.0.0.1:3000;
+    }
+  }
+  ```
+
+  > **Note** Replace `yourdomain.com` with your actual domain and `3000` with the port you have specified as `{EXPOSED_PORT}` if you have changed it.
+
+1. Enable your new site:
+
+  ```bash
+  ln -s /etc/nginx/sites-available/standardnotes.conf /etc/nginx/sites-enabled/standardnotes.conf
+  ```
+
+1. Restart Nginx to apply changes
+
+  There may be different ways to restart Nginx. If you installed Nginx from Ubuntu's default repository just type:
+
+  ```bash
+  $ sudo service nginx restart
+  ```
+
+1. Test your `Nginx` configuration with:
+
+  ```bash
+  $ nginx -t
+  ```
+
+1. Setting up Certbot for HTTPS configuration
+
+  Go to [certbot](https://certbot.eff.org/instructions) to get and install your HTTPS certificate.
+
+  Certbot should automatically update your Nginx configuration and create SSL certificates for you.
+
+  After completing the above instructions, your Sync server should be HTTPS enabled!
+
+## Using your secured server
+
+In the account menu, choose `Advanced Options` and enter the address of your new server in `Sync Server Domain`.
+
+Then, register for a new account or log into an existing account and begin using your private new secure Standard Notes server!
diff --git a/docs/docs/self-hosting/infrastructure-overview.md b/docs/docs/self-hosting/infrastructure-overview.md
new file mode 100644
index 000000000..12deaae3c
--- /dev/null
+++ b/docs/docs/self-hosting/infrastructure-overview.md
@@ -0,0 +1,53 @@
+---
+slug: infrastructure-overview
+id: infrastructure-overview
+title: Infrastructure Overview
+sidebar_label: Infrastructure Overview
+description: Standard Notes Infrastructure Overview.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - sync server
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Services
+
+The Syncing Server infrastructure consists of a few different microservices that are responsible for different sets of functionality.
+
+### Syncing Server JS
+
+Syncing Server JS is a TypeScript implementation of our Syncing Server. This is the core of our business logic that is responsible for all operations on user data.
+
+### Syncing Server JS Worker
+
+Syncing Server JS Worker is responsible for all asynchronous tasks that the Syncing Server JS may offload for background processing. This includes for example processing of email backups, resolving issues with note duplicates, sending notes to extensions server, and more.
+
+### Auth
+
+This server is responsible for all authorization and authentication mechanisms. Auth is where all account-related metadata is handled and processed.
+
+### Auth Worker
+
+Similar to Syncing Server JS Worker, Auth Worker is responsible for all asynchronous tasks related to the domain of authentication and authorization. For example, processing account deletion requests and users' post-registration tasks.
+
+### API Gateway
+
+This is the main "entry point" of the entire architecture. API Gateway serves as a router and proxy to all services which are inaccessible directly. All requests from client applications will have to go through API Gateway in order to reach a certain underlying service.
+
+This service will be paired with your reverse proxy for [HTTPS support](./https-support.md)
+
+### DB
+
+MySQL database server. This is where all data is stored.
+
+### Cache
+
+Redis cache node where all temporary data is persisted for performance optimization and auto-expiring features.
+
+In self-host mode, Redis is used by default as a communication queue between services and their workers.
diff --git a/docs/docs/self-hosting/legacy-migration.md b/docs/docs/self-hosting/legacy-migration.md
new file mode 100644
index 000000000..cef1a3bd6
--- /dev/null
+++ b/docs/docs/self-hosting/legacy-migration.md
@@ -0,0 +1,47 @@
+---
+slug: legacy-migration
+id: legacy-migration
+title: Migrating From Legacy
+sidebar_label: Migrating From Legacy
+description: Migrating From Legacy Guide
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - sync server
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Preparing a database dump
+
+If you have previously self-hosted your setup with our legacy Syncing Server, you will need to first dump the data from your existing database. There are two ways to do this depending on whether you had a separate database or the one we provided with our Docker setup.
+
+### Database from Docker setup
+
+In order to create a database dump, use the following command:
+
+   ```bash
+   $ docker exec your_db_container_id sh -c 'exec mysqldump your_database_name -uroot -p "your_password"' > ./dbdump.sql
+   ```
+
+  > **Note:** In order to get the value of `your_db_container_id`, run `docker ps` to inspect your running containers. `your_database_name` and `your_password` have to be changed to whatever you had set up in your .env file.
+
+### External database
+
+Run:
+
+  ```bash
+  mysqldump your_database_name -h your_host -u your_user -p "your_password" > ./dbdump.sql
+  ```
+
+  > **Note** Change `your_host`, `your_database_name`, `your_user` and `your_password` to values that you use to connect to your database.
+
+## Importing your database dump
+
+In order to import your data to the database that our Standalone setup will create, just place your `dbdump.sql` file inside the `path-to-your-standalone/data/import` folder. The data will be imported once the setups starts.
+
+To proceed, head over to our [Self-hosting with Docker](./docker.md) page.
diff --git a/docs/docs/self-hosting/subscriptions.md b/docs/docs/self-hosting/subscriptions.md
new file mode 100644
index 000000000..4dde56e6e
--- /dev/null
+++ b/docs/docs/self-hosting/subscriptions.md
@@ -0,0 +1,30 @@
+---
+slug: subscriptions
+id: subscriptions
+title: Subscriptions on your Standard Notes Standalone Server
+sidebar_label: Subscriptions
+description: How to add subscriptions on your Standard Notes Standalone Server.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - updating
+  - sync server
+  - docker
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Requirements
+
+To add a subscription to your self-hosted user account, run the following commands (Replace EMAIL@ADDR with your user email):
+
+```bash
+./server.sh create-subscription EMAIL@ADDR
+```
+
+## ✨ You Should Know
+Building Standard Notes has high costs. If everyone evaded contributing financially, we would no longer be here to continue to build upon and improve these services for you. Please consider [donating](https://standardnotes.com/donate) if you do not plan on purchasing a subscription.
diff --git a/docs/docs/self-hosting/updating.md b/docs/docs/self-hosting/updating.md
new file mode 100644
index 000000000..fe9d4dbe1
--- /dev/null
+++ b/docs/docs/self-hosting/updating.md
@@ -0,0 +1,51 @@
+---
+slug: updating
+id: updating
+title: Updating Standard Notes Standalone Infrastructure
+sidebar_label: Updating
+description: How to update Standard Notes Standalone Infrastructure.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - self-hosting
+  - updating
+  - sync server
+  - docker
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Requirements
+
+These instructions make the following assumptions:
+
+- You have an existing standalone infrastructure running with our [docker setup](./docker.md)
+
+## Updating
+
+Updating of the infrastructure essentially consists of:
+
+- Stopping all services
+- Pulling changes from Git
+- Checking for env file changes: new environment variables might have been added that you will need to configure
+- Downloading latest Docker image versions of Standard Notes services
+- Starting the services up again
+
+To save you all the trouble we've packed it all nicely in one command that you run by typing:
+
+```bash
+$ ./server.sh update
+```
+
+## Troubleshooting
+
+If you encounter any problems while updating, you can nuke your setup and start over. But **you must backup your data** inside the `data/*` folder. Then, to wipe your existing setup, run:
+
+```bash
+$ ./server.sh cleanup
+```
+
+> ***WARNING*** this will permanently delete all your data, so be sure to back up your database before running this command.
diff --git a/docs/docs/specification/auth.md b/docs/docs/specification/auth.md
new file mode 100644
index 000000000..3cc88d5e7
--- /dev/null
+++ b/docs/docs/specification/auth.md
@@ -0,0 +1,303 @@
+---
+id: auth
+title: Auth API
+sidebar_label: Auth
+description: Authentication portion of the Standard Notes API.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - sync
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+### POST /auth
+
+**Registers a new user**
+
+|          |   |             |
+|-------------|---------|---------------------------------------------------------------------------------------------------------------------|
+| api         | `string`  | The API version to use. Must not be null, otherwise oldest API version used. Latest value is "20200115"             |
+| created     | `string`  | Integer timestamp representing the date the client generated the account's encryption keys. Example "1622494310383" |
+| email       | `string`  | The account email.                                                                                                  |
+| ephemeral   | `boolean` | Whether the initial session created for this account is ephemeral ("Stay signed in" unchecked).                     |
+| identifier  | `string`  | Should equal the account email.                                                                                     |
+| origination | `string`  | Should equal "registration"                                                                                         |
+| password    | `string`  | The server password generated by the client from the user's master password.                                        |
+| pw_nonce    | `string`  | The nonce generated by the client for the user's encryption key.                                                    |
+| version     | `string`  | The protocol version the client used to generate the user's encryption key. Latest is "004".                        |
+
+#### Response
+
+```JSON
+{
+	"session": {
+		"access_token": "1:457b1f4b-88c2-4328-bf32-fe7dd9431d62:WwKgTEDUoEhxECu6",
+		"refresh_token": "1:457b1f4b-88c2-4328-bf32-fe7dd9431d62:G-qEoZsFtoj~RLL-",
+		"access_expiration": 1627678312000,
+		"refresh_expiration": 1654051238000
+	},
+	"key_params": {
+		"created": "1622494310383",
+		"identifier": "foo@example.com",
+		"origination": "registration",
+		"pw_nonce": "d97ed41c581fe8c3e0dce7d2ee72afcb63f9f461ae875bae66e30ecf3d952900",
+		"version": "004"
+	},
+	"user": {
+		"uuid": "682f9deb-b75f-4d97-91fa-6fd82a482db1",
+		"email": "foo@example.com"
+	}
+}
+```
+
+### POST /auth/sign_in
+
+**Authenticates a user and returns a session.**
+
+|          |   |             |
+|-------------|---------|---------------------------------------------------------------------------------------------------------------------|
+| api         | `string`  | The API version to use. Must not be null, otherwise oldest API version used. Latest value is "20200115"             |
+| email       | `string`  | The account email.                                                                                                  |
+| ephemeral   | `boolean` | Whether the session created for this account is ephemeral ("Stay signed in" unchecked).                     |
+| password    | `string`  | The server password generated by the client from the user's master password.                                        |
+
+#### Response
+
+```JSON
+{
+	"session": {
+		"access_token": "1:ee03808d-dd05-417c-9c87-d471e49bcc49:Q~-UoIpDhdtkii_t",
+		"refresh_token": "1:ee03808d-dd05-417c-9c87-d471e49bcc49:Jn8UWzeHx2H5nZI5",
+		"access_expiration": 1627678779000,
+		"refresh_expiration": 1654051705000
+	},
+	"key_params": {
+		"created": "1622494310383",
+		"identifier": "foo@example.com",
+		"origination": "registration",
+		"pw_nonce": "d97ed41c581fe8c3e0dce7d2ee72afcb63f9f461ae875bae66e30ecf3d952900",
+		"version": "004"
+	},
+	"user": {
+		"uuid": "682f9deb-b75f-4d97-91fa-6fd82a482db1",
+		"email": "foo@example.com"
+	}
+}
+```
+
+### GET /auth/params
+
+**Queries the parameters used for key generation for an email address. Queried before signing into an account.**
+
+|          |   |             |
+|-------------|---------|---------------------------------------------------------------------------------------------------------------------|
+| api         | `string`  | The API version to use. Must not be null, otherwise oldest API version used. Latest value is "20200115"             |
+| email       | `string`  | The account email.                                                                                                  |
+
+#### Response
+
+```JSON
+{
+	"identifier": "foo@example.com",
+	"pw_nonce": "d97ed41c581fe8c3e0dce7d2ee72afcb63f9f461ae875bae66e30ecf3d952900",
+	"version": "004"
+}
+```
+
+### POST /auth/change_pw
+
+**Changes a user's password.**
+
+|          |   |             |
+|-------------|---------|---------------------------------------------------------------------------------------------------------------------|
+| api         | `string`  | The API version to use. Must not be null, otherwise oldest API version used. Latest value is "20200115"             |
+| created     | `string`  | Integer timestamp representing the date the client generated the account's new encryption keys. Example "1622494310383" |
+| identifier  | `string`  | The account email.                                                                                                  |
+| origination | `string`  | Should equal "password-change"                                                                                         |
+| current_password    | `string`  | The old server password generated by the client from the user's master password.                                        |
+| new_password    | `string`  | The new server password generated by the client from the user's master password.                                        |
+| pw_nonce    | `string`  | The nonce generated by the client for the user's encryption key.                                                    |
+| version     | `string`  | The protocol version the client used to generate the user's encryption key. Latest is "004".                        |
+
+#### Response
+
+```JSON
+{
+	"session": {
+		"access_token": "1:27d4fd8f-b730-4e0a-afd3-1600fb466aaa:HMgmZwV5k5ePt0vj",
+		"refresh_token": "1:27d4fd8f-b730-4e0a-afd3-1600fb466aaa:wHuTeOB-qWGP3AE3",
+		"access_expiration": 1627679129000,
+		"refresh_expiration": 1654052055000
+	},
+	"key_params": {
+		"created": "1622494310383",
+		"identifier": "foo@example.com",
+		"origination": "password-change",
+		"pw_nonce": "be1974ff6fb1c541aa8c71fd3c66851b6492cf224b661c72daf44e0bef3096bb",
+		"version": "004"
+	},
+	"user": {
+		"uuid": "682f9deb-b75f-4d97-91fa-6fd82a482db1",
+		"email": "foo@example.com"
+	}
+}
+```
+
+## Sessions
+
+### Session Model
+
+| Field          | Type      | Description                                       |
+|----------------|-----------|---------------------------------------------------|
+| uuid           | `string`    | Unique identifier of the session                  |
+| user_uuid      | `string`    | Unique identifier of the user                     |
+| user_agent     | `string`    | The user agent used to create the session         |
+| api_version    | `string`    | The server API version used to create the session |
+| access_token   | `string`    | The access token used to authenticate requests    |
+| refresh_token  | `string`    | The refresh token used to extend tokens           |
+| access_expiration      | `datetime`  | The expiration time of the access token                |
+| refresh_expiration      | `datetime`  | The expiration time of the refresh token                |
+| created_at     | `datetime`  | Date and time of creation of the session          |
+| updated_at     | `datetime`  | Last updated date and time of the session         |
+
+- Each `session` includes the API version they were created with. This way we can deny sessions for a given API version if we detect a vulnerability with that version in the future
+- Sessions are created in the following cases:
+  - When a user signs in
+  - When a user registers a new account
+
+---
+
+### Authenticated requests
+
+The `Authorization` request header field is used by clients to make authenticated request. `Bearer` is the only authentication scheme allowed.
+
+The client must send the `access` token generated by the session, in the `Authorization` header. For example:
+
+```
+GET /sessions HTTP/1.1
+Host: sync.standardnotes.org
+Authorization: Bearer <access token>
+```
+
+---
+
+Below is a list of endpoints related to session management:
+
+| Method    | URL                      | Params              | Description                                            | Successful response code |
+|-----------|--------------------------|---------------------|--------------------------------------------------------|--------------------------|
+|`POST`     | /auth/sign_out           | *None*              | Terminates the current session                         | `204`                    |
+|`DELETE`   | /session                 | **uuid**            | Terminates the specified session by UUID               | `204`                    |
+|`DELETE`   | /sessions                | *None*              | Terminates all sessions, except the current one        | `204`                    |
+|`GET`      | /sessions                | *None*              | Lists all sessions active sessions                     | `200`                    |
+|`POST`     | /session/token/refresh   | **refresh_token**   | Obtains new pair of `access_token` and `refresh_token` | `200`                    |
+
+A successful request to `GET /sessions` returns the following JSON response:
+
+```json
+{
+  "sessions": [
+    {
+      "uuid": "xxxxxxxx-xxxx-Mxxx-Nxxx-xxxxxxxxxxxx",
+      "user_agent": "<product> / <product-version> <comment>",
+      "api_version": "xxxxyyzz",
+      "current": "<boolean>",
+      "created_at": "2020-01-01T00:00:00.000Z"
+    }
+    ...
+  ]
+}
+```
+
+#### Obtaining tokens
+
+Tokens can be obtained every time the user performs any of the following actions:
+
+1. When a user signs in
+1. When a user registers an account
+1. When the tokens are refreshed
+
+#### Refreshing tokens
+
+When an expired `access_token` is provided in the `Authorization` HTTP header, the following JSON response is returned:
+
+HTTP Status Code: `498 Expired Access Token`
+
+```json
+{
+  "error": {
+    "tag": "expired-access-token",
+    "message": "The provided access token has expired."
+  }
+}
+```
+
+To continue accessing resources, the `access_token` must be refreshed. That is, the current `access_token` is replaced with a new one with an extended expiration date.
+
+To refresh an `access_token`, a valid `refresh_token` is needed. This `refresh_token` must meet the following requirements:
+
+  - It should belong to the session of the `access_token`
+  - It should not be expired
+
+Since the `refresh_token` is of single-use, a new `refresh_token` is obtained when the `access_token` is refreshed.
+
+Refreshing tokens is a process that is transparent to the user, meaning that the client will perform the requests to keep valid tokens without user intervention.
+
+Here's how to refresh tokens:
+
+1. Send a `POST` request to `/session/token/refresh`. The body should contain a JSON paylaod with the `refresh_token`:
+    ```
+    POST /session/token/refresh HTTP/1.1
+    Host: sync.standardnotes.org
+    Authorization: Bearer <access token>
+
+    {
+      "refresh_token": "R_xxxxxxx-xxxx-Mxxx-Nxxx-xxxxxxxxxxxx"
+    }
+    ```
+
+1. The `refresh_token` is validated on the server. Depending of the circumstances, there should be two outcomes:
+    1. The provided `refresh_token` is valid. If so, a new pair of tokens is generated and the following JSON response is returned:
+        ```json
+        {
+          "token": "xxxxxxx-xxxx-Mxxx-Nxxx-xxxxxxxxxxxx",
+          "session": {
+            "refresh_expiration": 1583020800,
+            "refresh_token": "xxxxxxx-xxxx-Mxxx-Nxxx-xxxxxxxxxxxx",
+          }
+        }
+        ```
+    1. The provided `refresh_token` is expired. If so, the following JSON response is returned:
+
+        HTTP Status Code: `400 Bad Request`
+        ```json
+        {
+          "error": {
+            "tag": "expired-refresh-token",
+            "message": "The refresh token has expired."
+          }
+        }
+        ```
+        User must start a new session by re-entering their credentials.
+
+### Expiration
+
+#### Sessions
+
+Sessions should be terminated after a period of inactivity. This is for best security practices.
+
+`Long-lived sessions` are a good choice for our use case, because it can build a better user experience than expiring sessions for a short idle-timeout.
+
+- A `session` that remains inactive for `1 year` will be terminated, along with all `tokens`
+
+#### Tokens
+
+| Name      | Type        | Expiration    |
+|-----------|-------------|---------------|
+| `access`  | Short-lived | `60 days`     |
+| `refresh` | Long-lived  | `1 year`      |
+
+- A `refresh` token is of single-use, while an `access` token can be used as long as it is not expired
diff --git a/docs/docs/specification/encryption-003.md b/docs/docs/specification/encryption-003.md
new file mode 100644
index 000000000..3b9e5aef8
--- /dev/null
+++ b/docs/docs/specification/encryption-003.md
@@ -0,0 +1,162 @@
+---
+slug: encryption/003
+id: encryption-003
+title: Encryption Protocol Specification v003
+sidebar_label: Encryption v003
+description: Specification for the Standard Notes end-to-end encryption.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - encryption specification
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Version 0.0.3
+
+It is important that there exist a separation of concerns between the server and the client. That is, the client should not trust the server, and vice versa.
+
+Encryption keys are generated by stretching the user's input password using a [key derivation function.](https://en.wikipedia.org/wiki/Key_derivation_function)
+
+The resulting key is split in three — the first third is sent to the server as the user's password, the second third is saved locally as the user's master encryption key, and the last third is used as an authentication key. In this setup, the server is never able to compute the encryption key or the user's original password given just a fraction of the resulting key.
+
+Note: client-server connections must be made securely through SSL/TLS.
+
+#### Elaboration on User model encryption related fields
+
+| name     | details                                                                                                                                                                                                                   |
+| -------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- |
+| pw_cost  | The number of iterations to be used by the KDF. The minimum for version 003 is 100,000. However note that non-native clients (web clients not using WebCrypto) will not be able to handle any more than 3,000 iterations. |
+| pw_nonce | A nonce for password derivation. This value is initially created by the client during registration.                                                                                                                       |
+
+## Key Generation
+
+### Client Instructions
+
+Given a user inputted password `uip`, the client's job is to generate a password `pw` to send to the server, a master key `mk` that the user stores locally to encrypt/decrypt data, and an auth key `ak` for authenticating encrypted data.
+
+#### Login Steps
+
+1.  Client makes GET request with user's email to `auth/params` to retrieve password nonce, cost, and version.
+1.  Client verifies cost >= minimum cost (100,000 for 003.)
+1.  Client computes `pw`, `mk`, and `ak` using PBKDF2 with SHA512 as the hashing function and output length of 768 bits:
+
+    ```
+    salt = SHA256:Hexdigest([email, "SF", version, pw_cost, pw_nonce].join(":"))
+    key = pbkdf2(uip, salt, sha512, 768, pw_cost) // hex encoded
+    pw = key.substring(0, key.length/3)
+    mk = key.substring(key.length/3, key.length/3)
+    ak = key.substring(key.length/3 * 2, key.length/3)
+    ```
+
+1.  Client sends `pw` to the server as the user's "regular" password and stores `mk` and `ak` locally. (`mk` and `ak` are never sent to the server).
+
+#### Registration Steps
+
+1.  Client chooses default for `pw_cost` (minimum 100,000).
+1.  Client generates `pw_nonce`:
+
+    ```
+    pw_nonce = random_string(256)
+    ```
+
+1.  Client computes `pw`, `mk`, and `ak` using step (3) from Login Steps.
+
+1.  Client registers with `email`, `pw`, `pw_cost`, `pw_nonce`, and `version`.
+
+## Item Encryption
+
+In general, when encrypting a string, one should use an IV so that two subsequent encryptions of the same content yield different results, and one should authenticate the data as to ascertain its authenticity and lack of tampering.
+
+In Standard Notes, two strings are encrypted for every item:
+
+- The item's `content`.
+- The item's `enc_item_key`.
+
+## Client-side
+
+An item is encrypted using a random key generated for each item.
+
+### Encryption:
+
+Note that when encrypting/decrypting data, keys should be converted to the proper format your platform function supports. It's best to convert keys to binary data before running through any encryption/hashing algorithm.
+
+For every item:
+
+1.  Generate a random 512 bit key `item_key` (in hex format).
+2.  Split `item_key` in half; set item encryption key `item_ek = first_half` and item authentication key `item_ak = second_half`.
+3.  Encrypt `content` using `item_ek` and `item_ak` following the instructions "Encrypting a string using the 003 scheme" below and send to server as `content`.
+4.  Encrypt `item_key` using the global `mk` and global `ak` following the instructions "Encrypting a string using the 003 scheme" below and send to server as `enc_item_key`.
+
+### Decryption:
+
+Check the first 3 characters of the `content` string. This will be the encryption version.
+
+- If it is equal to "001", which is a legacy scheme, decrypt according to the 001 instructions found [here](https://github.com/standardfile/standardfile.github.io/blob/master/doc/spec-001.md).
+
+- If it is equal to "002" or "003", decrypt as follows:
+
+  1.  Decrypt `enc_item_key` using the global `mk` and global `ak` according to the "Decrypting a string using the 003 scheme" instructions below to get `item_key`.
+  2.  Split `item_key` in half; set encryption key `item_ek = first_half` and authentication key `item_ak = second_half`.
+  3.  Decrypt `content` using `item_ek` and `item_ak` according to the "Decrypting a string using the 003 scheme" instructions below.
+
+### Encrypting a string using the 003 scheme:
+
+Given a `string_to_encrypt`, an `encryption_key`, and an `auth_key`:
+
+1.  Generate a random 128 bit string called IV.
+1.  Encrypt `string_to_encrypt` using `AES-CBC-256:Base64`, `encryption_key`, and `IV`:
+
+```
+ciphertext = AES-Encrypt(string_to_encrypt, encryption_key, IV)
+```
+
+1.  Generate `string_to_auth` by combining the encryption version (003), the item's UUID, the IV, and the ciphertext using the colon ":" character:
+
+```
+string_to_auth = ["003", uuid, IV, ciphertext].join(":")
+```
+
+1.  Compute `auth_hash = HMAC-SHA256:Hex(string_to_auth, auth_key)`.
+1.  Generate the final result by combining the five components into a `:` separated string:
+
+```
+result = ["003", auth_hash, uuid, IV, ciphertext].join(":")
+```
+
+### Decrypting a string using the 003 scheme:
+
+Given a `string_to_decrypt`, an `encryption_key`, and an `auth_key`:
+
+1. Split the string into its constituent parts: `components = string_to_decrypt.split(":")`.
+1. Assign local variables:
+
+```
+version = components[0]
+auth_hash = components[1]
+uuid = components[2]
+IV = components[3]
+ciphertext = components[4]
+```
+
+1. Ensure that `uuid == item.uuid`. If not, abort decryption.
+1. Generate `string_to_auth = [version, uuid, IV, ciphertext].join(":")`.
+1. Compute `local_auth_hash = HMAC-SHA256(string_to_auth, auth_key)`. Compare `local_auth_hash` to `auth_hash`. If they are not the same, skip decrypting this item, as this indicates that the string has been tampered with.
+1. Decrypt `ciphertext` to get final result: `result = AES-Decrypt(ciphertext, encryption_key, IV)`.
+
+## Server-side
+
+For every received item:
+
+1.  (Optional but recommended) Encrypt `content` using server known key and store. Decrypt before sending back to client.
+
+## Next Steps
+
+Join the [Slack group](https://standardnotes.com/slack) to discuss implementation details and ask any questions you may have.
+
+You can also email [help@standardnotes.org](mailto:help@standardnotes.org).
+
+Follow [@standardnotes on Twitter](https://twitter.com/standardnotes) for updates and announcements.
diff --git a/docs/docs/specification/encryption-004.md b/docs/docs/specification/encryption-004.md
new file mode 100644
index 000000000..14341df5b
--- /dev/null
+++ b/docs/docs/specification/encryption-004.md
@@ -0,0 +1,345 @@
+---
+slug: encryption
+id: encryption
+title: Client Encryption API
+sidebar_label: Client Encryption
+description: Specification for the Standard Notes end-to-end encryption.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - encryption specification
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+The 004 protocol upgrade centers around a system that makes it easy and painless to upgrade to a future protocol version, as well as more modern cryptographic primitives.
+
+This page is a copy of the specification file located at [github.com/standardnotes/snjs](https://github.com/standardnotes/snjs/blob/master/packages/snjs/specification.md).
+
+## Introduction
+
+The Standard Notes Protocol describes a set of procedures that ensure client-side encryption of data in such a way that makes it impossible for the server, which houses the data, to read or decrypt the data. It treats the server as a dumb data-store that simply saves and returns values on demand.
+
+Even in scenarios when the server is under active attack, clients should be fully protected, and cannot be tricked into revealing any sensitive information.
+
+The client and server communicate under two common procedures: authentication, and syncing.
+
+Authentication is a one-time transfer of information between client and server. In short, clients generate a long secret key by stretching a user-inputted password using a KDF. The first half of that key is kept locally as the "master key" and is never revealed to the server. The second half of that key is sent to the server as the "account server password".
+
+The master key is then used to encrypt an arbitrary number of items keys. Items keys are generated randomly and not based on the account password. Items keys are used to encrypt syncable data, like notes, tags, and user preferences. Items keys themselves are also synced to user accounts, and are encrypted directly with the master key.
+
+When a user's master key changes, all items keys must be re-encrypted with the new master key. Accounts should generally have one items key per protocol version, so even in the event where many protocol upgrades are created, only a few KB of data must be re-encrypted when a user's credentials change (as opposed to completely re-encrypting many megabytes or gigabytes of data).
+
+Data is also encrypted client-side for on-device storage. When an account is present, all local data is encrypted by default, including simple key-value storage (similar to a localStorage-like store). Persistence stores are always encrypted with the account master key, and the master key is stored in the device's secure keychain (when available).
+
+Clients also have the option of configuring an application passcode, which wraps the account master key with an additional layer of encryption. Having a passcode enabled is referred to as having a "root key wrapper" enabled. When a root key is wrapped, it is stored in local storage as an encrypted payload, and the keychain is bypassed. This allows for secure key storage even in environments that don't expose a keychain, such as web browsers.
+
+This document delineates client-side procedures for key management and generation, data encryption, and storage encryption. Concepts related to server syncing and server session management are outside the scope of this document. This document however wholly covers any values that a server would receive, so even though syncing and server session management is out of scope, the procedures outlined in this document should guarantee that no secret value is ever revealed to the server.
+
+## Key Management
+
+**There are three main concepts as related to keys:**
+
+1. **A root key**—based on an account's user-inputted password. There exists only one root key per account.
+2. **A root key wrapper**—_wraps_ a root key (encrypts it) with an additional layer. This is a local-only construct, and translates directly as an "application passcode" feature.
+3. **Items keys**—used to encrypt items. There can exist many items keys, and one items key can encrypt many items. Each items key is encrypted with the root key. When the root key changes, all items keys must be re-encrypted using the new root key.
+
+### Key Generation Flow
+
+1. User registers with an email (`identifier`) and a `password`.
+2. `password` is run through a KDF to generate a key, which is then split in two, as part of a single `rootKey`.
+   1. The first half is the `masterKey`.
+   2. The second half is the `serverPassword`.
+3. Client registers user account with server using `email` and `rootKey.serverPassword`.
+4. Client creates new random key `itemsKey`. This key is encrypted directly with `rootKey.masterKey`, and the encrypted `itemsKey` is assigned a UUID and uploaded to the user's account. (Each `itemsKey` is a traditional item, just like a note or tag.)
+
+### Password change or protocol upgrade flow
+
+**When a user changes their password, or when a new protocol version is available:**
+
+1. Client generates new `rootKey` using account identifier and password, and thus generates new `rootKey.masterKey`, `rootKey.serverPassword`, and `keyParams`, which include the protocol version and other public information used to guide clients on generating the `rootKey` given a user password.
+2. Client submits new `rootKey.serverPassword` and `keyParams` to server. Note that the changing the `serverPassword` does not necessarily invalidate a user's session. Sessions management is outside of the scope of this document.
+3. Client loops through all `itemsKeys` and re-encrypts them with new `rootKey.masterKey`. All `itemsKeys` are then re-uploaded to server. Note that `itemsKeys` are immutable and their inner key never changes. The key is only re-encrypted using the new `masterKey`.
+
+This flow means that when a new protocol version is available or when a user changes their password, we do not need to re-encrypt all their data, but instead only a handful of keys.
+
+### Key Rotation
+
+By default, upgrading an account's protocol version will create a new `itemsKey` for that version, and that key will be used to encrypt all data going forward. To prevent large-scale data modification that may take hours to complete, any data encrypted with a previous `itemsKey` will be re-encrypted with the new `itemsKey` progressively, and not all at once. This progressive re-encryption occurs when an item is explicitly modified by the user. Applications can also be designed to bulk-modify items during idle-capacity, without user interaction.
+
+**When changing the account password:**
+
+- If a new protocol version is available, changing the account password will also upgrade to the latest protocol version and thus generates a new default `itemsKey`.
+- If no new protocol version is available, or if the user is already using the latest version, changing the account password generates a new `rootKey`, as well as generates a new `itemsKey`. The new `itemsKey` will be used as the default items encryption key, and will also be used to progressively re-encrypt previous data. Generating a new `itemsKey` on password change ensures backward secrecy in the case the previous account password is compromised.
+
+## Encryption Flow
+
+_For each_ item (such as a note) the client wants to encrypt:
+
+1. Client generates random `item_key` (note: singular. Not related to `itemsKey`).
+2. Client encrypts note content with `item_key` to form `content`.
+3. Client encrypts `item_key` with default `itemsKey` as `enc_item_key`.
+4. Client notes `itemsKey` UUID and associates it with encrypted item payload as `items_key_id`, and uploads payload to server.
+
+To decrypt an item payload:
+
+1. Client retrieves `itemsKey` matching `items_key_id` of payload.
+2. Client decrypts item's `enc_item_key` with `itemsKey` to form `item_key`.
+3. Client decrypts item's `content` using `item_key`.
+
+## Authentication
+
+Registering for an account involves generating a `rootKey` and respective `keyParams`, according to the key generation flow above. The key parameters are uploaded to the server, and include:
+
+- unique identifier (email)
+- salt seed
+- protocol version
+
+To sign into an account, clients first make a request to the server to retrieve the key params for a given email. This endpoint is public and non-authenticated (unless the account has two-factor authentication enabled). The client then uses the retrieved key params to generate a `rootKey`, and uses the `rootKey.serverPassword` to authenticate the account.
+
+Note that by default, the client trusts the protocol version the server reports. The client uses this protocol version to determine which cryptographic primitives (and their parameters) to use for key generation. This raises the question of, what happens if a malicious server underreports an account's version in order to weaken key generation parameters? For example, if a user's account is 004, but the server reports 002, the client will proceed to generate a `serverPassword` using outdated primitives.
+
+There are two safeguards against this scenario:
+
+1. Older protocol versions are expired and become no longer supported after a certain period.
+2. Clients may sign in with a flag known as "strict sign in" (SSI). SSI ensures that the client _always_ signs in with the client-side _hardcoded latest version_ of the protocol. For example, if a client with SNJS 004 support attempts to sign in with SSI enabled, and the server reports a protocol version of 002 for a given account, the client will refuse this sign-in, and will not proceed with key generation. SSI is a user-controlled option. Clients cannot be programmed to default to SSI, as otherwise, users would be unable to sign in to their account whenever a new protocol version is available.
+
+## Root Key Wrapping
+
+Root key wrapping is a local-only construct that pertains to how the root key is stored locally. By default, and with no root key wrapping, the `rootKey` is stored in the secure device keychain. Only the `rootKey.masterKey` is stored locally; the `rootKey.serverPassword` is never stored locally, and is only used for initial account registration. If no keychain is available (web browsers), the `rootKey` is stored in storage in necessarily plain format.
+
+Root key wrapping allows the client to encrypt the `rootKey` before storing it to disk. Wrapping a root key consists of:
+
+1. Client asks user to choose a "local passcode".
+2. The local passcode is run through the same key generation flow as account registration (using a random UUID as the account identifier, in place of an email) to generate a separate new root key known as the `rootKeyWrappingKey` (which likewise consists of a `masterKey` and an unused `serverPassword`).
+3. The `rootKeyWrappingKey` is used to encrypt the `rootKey` as `wrappedRootKey`. The `wrappedRootKey` (along with `wrappingKeyKeyParams`) is stored directly in storage, and the keychain is cleared of previous unwrapped `rootKey`. (Some keychains have fixed payload size limit, so an encrypted payload may not always fit. For this reason `wrappedRootKey` is always stored directly in storage.)
+
+**To unwrap a root key:**
+
+1. Client displays an "Enter your local passcode" prompt to user.
+2. Client runs user-inputted password through key generation scheme (using stored `wrappingKeyKeyParams`) to generate a temporary `rootKeyWrappingKey`.
+3. Client attempts to decrypt `wrappedRootKey` using `rootKeyWrappingKey`. If the decryption process succeeds (no errors are thrown), the client successfully unlocks application, and keeps the unwrapped `rootKey` in application memory to aid in encryption and decryption of items (or rather `itemsKeys`, to be exact).
+
+**The purpose of root key wrapping is many-fold:**
+
+1. To allow for secure storage of root key when no secure keychain is available (i.e web browsers).
+2. Even in cases when a keychain is available, root key wrapping allows users to choose an arbitrary password to protect their storage with.
+3. To allow for encryption of local storage.
+4. To allow applications to introduce cryptographically-backed UI-level app locking.
+
+When a root key is wrapped, no information about the wrapper is persisted locally or in memory beyond the `keyParams` for the wrapper. This includes any sort of hash for verification of the correctness of the entered local passcode. That is, when a user enters a local passcode, we know it is correct not because we compare one hash to another, but by whether it succeeds in decrypting some encrypted payload.
+
+## Multi-Client Root Key Changes
+
+Because account password changes (or, in general, root key changes) require all existing items keys to be re-encrypted with the new root key, it is possible that items keys eventually fall into an inconsistent state, such that some are encrypted with a newer root key, while others are encrypted with the new root key. Clients encountering an items key they cannot encrypt with the current account root key parameters would then reach a dead end, and users would see undecryptable data.
+
+To recover the ability to decrypt an items key, clients can use the `kp` (key params) included the items key's authenticated_data payload. These parameters represent the the key params of the root key used to encrypt this items key.
+
+For example, when the account password changes, and thus the root key changes, all items keys are re-encrypted with the new root key on client A. Another client (client B) who may have a valid API session, but an outdated root key, will be able to download these new items keys. However, when client B attempts to decrypt these keys using its root key, the decryption will fail. Client B enters a state where it can save items to the server (wherein those items are encrypted using its existing default readable items key), but cannot read new data encrypted with items keys encrypted with client A's root key.
+
+When client B connects to the API with a valid session token, but an outdated root key, it will be able to download new items keys, but not yet decrypt them. However, since the key parameters for the root key underlying the items key is included in the encrypted payload, the client will be able to prompt the user for their new password.
+
+**In general,**
+
+A. When a client encounters an items key it cannot decrypt, whose created date is greater than any existing items key it has, it will:
+
+1. Make an authenticated request to the server to retrieve the account's current key parameters (because we suspect that they may have changed, due to the above fact). Authenticated requests to the GET key_params endpoint bypasses the MFA requirement.
+2. Verify that the incoming key params version is greater than or equal to the client's current key params version. For example, if the client's key params version is 004, but the incoming key params version is 003, the client will reject these parameters as insecure and abort this process.
+3. Prompt the user for their account password, including in the prompt its reason. i.e _"Your account password was changed 3 days ago. Enter your new account password."_
+4. Validate the account password based on its root key's ability to decrypt the aforementioned items key. If it succeeds, replace the client's current root key with this new root key.
+
+At this point, this client is now in sync. It does not need to communicate with the server to handle updating its state after a password change.
+
+If the aforementioned items key's key params are not exactly equal to the server's key params (not a logical outcome, but assuming arbitrary desync), and no items keys exists with the same key params as the server key params, it must fallback to performing the regular sign in flow to authenticate its root key (based on its `serverPassword` field).
+
+B. When a client encounters an items key it cannot decrypt, regardless of its created date, and the server key parameters are equal to the ones the client has on hand, this indicates that the items key may be encrypted with an older root key (for whatever reason).
+
+In such cases, the client will present a "key recovery wizard", which all attempt to decrypt the stale items key:
+
+1. Retrieve the key parameters associated with the authenticated_data of the items key's payload.
+2. Prompt the user for their account password as it was on the date the key parameters were created. For example, _"Enter your account password as it was on Oct 20, 2019, 6:15AM."_
+3. Generate a root key from the account password using the relevant key params, and use that root key to decrypt the stale items key. If the decryption is successful, the client will then decrypt any items associated with that items key. It will then mark the key as needing sync.
+4. When the key subsequently runs through normal syncing logic, it will then proceed to be encrypted by the account's current root key, and synced to the account.
+
+The above procedure represents a "corrective" course of action in the case that the sync following a root key change, where all items keys must be re-encrypted with the new root key, fails silently and results in inconsistent data.
+
+Note that the difference between case A and case B is that in case A, we prompt the user for their account password and **update our client's root key** with the generated root key, if it is valid. In case B, we generate a temporary root key for decryption purposes only, but discard of the root key after our decryption. This distinction is important because in case A, the server will be required to return key parameters with version greater than or equal to the user's current version, but in case B, key parameters can be arbitrarily old. However, because in this case the root key is not used for anything other than transient read operations, we can accept protocol versions no matter how outdated they are.
+
+### Expired Sessions
+
+When a client encounters an invalid session network response (typically status code 498), it will:
+
+1. Retrieve the latest key parameters from the server. (Note that because GETting key parameters may require MFA authentication, clients must be prepared to handle an "mfa-required" error response.)
+2. Ensure the key parameter version is greater than or equal to the version the client currently has on hand.
+3. Prompt the user for their account password, indicating the reason. i.e _"Your session has expired. Please re-enter your account password to restore access to your account."_
+4. Proceed with normal sign in flow.
+
+## Storage
+
+**There exists three types of storage:**
+
+1. **Value storage**—values such as user preferences, session token, and other app-specific values.
+2. **Payload storage**—encrypted item payloads (such as notes and tags).
+3. **Root key storage**—the primary root key.
+
+How data is stored depends on different key scenarios.
+
+### Scenario A
+
+_No root key and no root key wrapper (no account and no passcode)_
+
+- **Value storage**: Plain, unencrypted
+- **Payload storage**: Plain, unencrypted
+- **Root key storage**: Not applicable
+
+### Scenario B
+
+_Root key but no root key wrapper (account but no passcode):_
+
+- **Value storage**: Encrypted with root key
+- **Payload storage:** Encrypted with root key
+- **Root key storage**:
+  - With device keychain: Plainly in secure keychain
+  - With no device keychain: Plainly in device storage
+
+### Scenario C
+
+_Root key and root key wrapper (account and passcode):_
+
+- **Value storage**: Encrypted with root key
+- **Payload storage**: Encrypted with root key
+- **Root key storage**: Encrypted in device storage
+
+### Scenario D
+
+_No root key but root key wrapper (no account but passcode):_
+
+- **Value storage**: Encrypted with root key wrapper
+- **Payload storage**: Encrypted with root key wrapper
+- **Root key storage**: Not applicable
+
+## 003 Migration
+
+For the most part, SNJS does not branch off into different modes of behavior for different protocol versions (apart from the version specific operators). This means that new constructs in 004, like items keys, are also used in 003. This is accomplished via migrations that are performed when the application detects older data state.
+
+In particular, when SNJS detects a pre-existing 003 account (before the user even has the chance to perform the protocol upgrade), a migration will be triggered that creates a default `itemsKey` using the account's current `rootKey.masterKey`:
+
+```
+itemsKey = { itemsKey: rootKey.masterKey, version: '003' }
+```
+
+This `itemsKey` is encrypted as usual using `rootKey.masterKey`, and synced to the user's account. When the user eventually performs the 004 upgrade (by entering their account password when prompted), a new `itemsKey` will be created as a default for 004. However, their previously created 003 `itemsKey` will continue to exist, so that data previously encrypted with 003 will still be decryptable.
+
+## Cryptography Specifics
+
+**Key Derivation:**
+
+| Name               | Value    |
+| ------------------ | -------- |
+| Algorithm          | Argon2id |
+| Memory (Bytes)     | 67108864 |
+| Iterations         | 5        |
+| Parallelism        | 1        |
+| Salt Length (Bits) | 128      |
+| Output Key (Bits)  | 512      |
+
+**Encryption:**
+
+| Name                | Value              |
+| ------------------- | ------------------ |
+| Algorithm           | XChaCha20+Poly1305 |
+| Key Length (Bits)   | 256                |
+| Nonce Length (Bits) | 192                |
+
+### Root Key Derivation Flow - Specifics
+
+Given a user `identifier` (email) and `password` (user password):
+
+1. Generate a random salt `seed`, 256 bits (`hex`).
+2. Generate `salt`:
+   1. `hash = SHA256Hex('identifier:seed')`
+   2. `salt = hash.substring(0, 32)`
+3. Generate `derivedKey = argon2(password, salt, ITERATIONS, MEMORY, OUTPUT_LENGTH) `
+4. Generate `rootKey` as:
+   ```
+    {
+      masterKey: derivedKey.firstHalf,
+      serverPassword: derivedKey.secondHalf,
+      version: '004'
+    }
+   ```
+5. For account registration, `identifier`, `seed`, `serverPassword`, and `version` must be uploaded to the server.
+
+**Understanding the salt `seed`:**
+
+Our threat model is intended to distrust the server as much as possible. For this reason, we do not want to blindly trust whatever salt value a server returns to us. For example, a malicious server may attempt to mass-weaken user security by sending the same salt for every user account, and observe what interesting results the clients send back. Instead, clients play a more significant role in salt generation, and use the value the user inputs into the email field for salt generation.
+
+At this point we have `salt = generateSalt(email)`. However, we'd ideally like to make this value more unique. Emails are globally unique, but well-known in advance. We could introduce more variability by also including the protocol version in salt computation, such as `salt = generateSalt(email, version)`, but this could also be well-accounted for in advance.
+
+The salt `seed` serves as a way to make it truly impossible to know a salt for an account ahead of time, without first interacting with the server the account is hosted on. While retrieving a `seed` for a given account is a public, non-authorized operation, users who configure two-factor authentication can proceed to lock this operation so that a proper 2FA code is required to retrieve the salt `seed`. Salts are thus computed via `salt = generateSalt(email, seed)`.
+
+### Items Key Generation Flow
+
+1. Generate random `hex` string `key`, 256 bits.
+2. Create `itemsKey = {itemsKey: key, version: '004'}`
+
+### Encryption - Specifics
+
+An encrypted payload consists of:
+
+- `items_key_id`: The UUID of the `itemsKey` used to encrypt `enc_item_key`.
+- `enc_item_key`: An encrypted protocol string joined by colons `:` of the following components:
+  - protocol version
+  - encryption nonce
+  - ciphertext
+  - authenticated_data
+- `content`: An encrypted protocol string joined by colons `:` of the following components:
+  - protocol version
+  - encryption nonce
+  - ciphertext
+  - authenticated_data
+
+**Procedure to encrypt an item (such as a note):**
+
+1. Generate a random 256-bit key `item_key` (in `hex` format).
+2. Encrypt `item.content` using `item_key` to form `content`, and `{ u: item.uuid, v: '004', kp: rootKey.key_params IF item.type == ItemsKey }` as `authenticated_data`, following the instructions _"Encrypting a string using the 004 scheme"_ below.
+3. Encrypt `item_key` using the the default `itemsKey.itemsKey` to form `enc_item_key`, and `{ u: item.uuid, v: '004', kp: rootKey.key_params IF item.type == ItemsKey }` as `authenticated_data`, following the instructions _"Encrypting a string using the 004 scheme"_ below.
+4. Generate an encrypted payload as:
+   ```
+   {
+       items_key_id: itemsKey.uuid,
+       enc_item_key: enc_item_key,
+       content: content,
+   }
+   ```
+
+### Encrypting a string using the 004 scheme:
+
+Given a `string_to_encrypt`, an `encryption_key`, `authenticated_data`, and an item's `uuid`:
+
+1. Generate a random 192-bit string called `nonce`.
+
+2. Encode `authenticated_data` as a base64 encoded json string (`base64(json(authenticated_data))`) where the embedded data is recursively sorted by key for stringification (i.e `{v: '2', 'u': '1'}` should be stringified as `{u: '1', 'v': '2'}`), to get `encoded_authenticated_data`.
+
+3. Encrypt `string_to_encrypt` using `XChaCha20+Poly1305:Base64`, `encryption_key`, `nonce`, and `encoded_authenticated_data`:
+
+```
+ciphertext = XChaCha20Poly1305(string_to_encrypt, encryption_key, nonce, encoded_authenticated_data)
+```
+
+4. Generate the final result by combining components into a `:` separated string:
+
+```
+result = ['004', nonce, ciphertext, encoded_authenticated_data].join(':')
+```
+
+## Next Steps
+
+Join the [Slack group](https://standardnotes.com/slack) to discuss implementation details and ask any questions you may have.
+
+You can also email [help@standardnotes.org](mailto:help@standardnotes.org).
+
+Follow [@standardnotes on Twitter](https://twitter.com/standardnotes) for updates and announcements.
diff --git a/docs/docs/specification/sync.md b/docs/docs/specification/sync.md
new file mode 100644
index 000000000..7d560ccd7
--- /dev/null
+++ b/docs/docs/specification/sync.md
@@ -0,0 +1,118 @@
+---
+id: sync
+title: Sync API
+sidebar_label: Sync
+description: Specification for the Standard Notes Sync API.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - sync
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+This document outlines the client-server communication of the Standard Notes ecosystem.
+
+## Item
+
+An `Item` is largely the only model that both clients and server are concerned wtih. The `content` field stores an encrypted object that can be anything the client needs to operate.
+
+Relationships between items are handled by the client, and not the server, and are stored encrypted in the `content` field as `references`.
+
+Items have the following properties:
+
+| name         | type                                | description                                                                                  |
+| ------------ | ----------------------------------- | -------------------------------------------------------------------------------------------- |
+| uuid         | `string` (or uuid for some databases) | The unique identifier for this item.                                                        |
+| content      | `text`                                | An encrypted string generated by the client.                                           |
+| content_type | `string`                              | The type of data contained in the `content` field. (i.e Note, Tag, SN|Component, etc.) |
+| enc_item_key | `text`                                | The key used to encrypt `content`, itself also encrypted.                                           |
+| deleted      | `boolean`                                | Whether the model has been deleted.                                                          |
+| created_at_timestamp   | `integer`                                | Timestamp representing when the item was created, with microsecond precision.                                                              |
+| updated_at_timestamp   | `integer`                                | Timestamp representing when the item was updated _by the server_, with microsecond precision.                                                             |
+
+## Content
+
+Data generated by the client is stored in the `content` field of the `Item`. An item's `content` is "sticky" and can have any property the client chooses, as well as the following:
+
+| name       | type       | description                                                                                                                                 |
+| ---------- | ---------- | ------------------------------------------------------------------------------------------------------------------------------------------- |
+| appData    | `dictionary` | A domain based dictionary whose content must be preserved between platforms. `appData[domain]` contains data the client stores in the item. |
+| references | `array`      | A metadata array of other `Item` uuids this item is related to and their respective `content_type`. See sample below.                      |
+
+`references` array structure:
+
+```JSON
+[
+  {uuid: xxxx, content_type: "Tag"},
+  {uuid: xxxxx, content_type: "Tag"},
+]
+```
+
+## REST API
+
+General:
+
+1.  All requests after initial authentication should be authenticated with a session token in the `Authorization` header:
+
+    ```
+    Authorization: Bearer <access token>
+
+    ```
+
+### POST items/sync
+
+|          |   |             |
+|-------------------|---------|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
+| api               | `string`  | The API version to use. Must not be null, otherwise oldest API version used. Latest value is "20200115".                                                                         |
+| compute_integrity | `boolean` | Should be false in most cases. Pass true if you plan to read the `integrity_hash` result (integrity can be optionally checked once on app launch).                                           |
+| items             | `array`   | An array of Items.                                                                                                                                                              |
+| limit             | `integer` | The maximum number of items to return per request. Official clients use 150.                                                                                                    |
+| sync_token        | `string`  | An opaque token returned by the server from a previous sync request. This lets the server know to pull in only new changes.                                                     |
+| cursor_token      | `string`  | An opaque pagination token returned by the server from a previous multi-page sync request. Send this value back only if the server returned this value from a previous request. |
+
+#### Response
+
+```JSON
+{
+    "retrieved_items": Array<Item>,
+    "saved_items": Array<Item>,
+    "conflicts": Array<Conflict>,
+    "sync_token": string,
+    "cursor_token": string?,
+    "integrity_hash": string?,
+}
+```
+
+|          |             |
+|-----------------|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
+| retrieved_items | Items that are new to the client or have been modified since last sync and should be merged with local values or created locally.                                                                   |
+| saved_items     | Items which have been successfully saved. Clients should merge *only* the resulting `updated_at_timestamp` with local values. Do not update local value of `content` from remote `saved_items` value. |
+| conflicts       | Items which have not been saved by the server and returned to client.                                                                                                                               |
+| sync_token      | An opaque token which should be sent back to server in subsequent sync request.                                                                                                                     |
+| cursor_token    | An opaque token which should be sent back to server in subsequent sync request (if present).                                                                                                        |
+
+#### Conflicts
+
+```typescript
+type Conflict = {
+  server_item?: Item
+  unsaved_item?: Item
+  type: 'sync_conflict' | 'uuid_conflict'
+}
+```
+
+A `sync_conflict` occurs when the item the client is attempting to save has a newer change on the server. The server is able to determine this by reading the `updated_at_timestamp` value from both the incoming payload and the server payload. If the incoming payload's `updated_at_timestamp` != to the server's `updated_at_timestamp` for that item, the save is rejected and returned to client as a `sync_conflict`. These types of conflicts are not uncommon.
+
+To resolve a `sync_conflict`, the client must choose a winner between server_item and unsaved_item then re-sync. The winning item should have its updated_at_timestamp value set to the server's value.
+
+A `uuid_conflict` occurs when the UUID the client has choosen for an item for X user already belongs to an item for Y user. This should mostly only occur when a user registers a new account and imports a data backup from another account.
+
+To resolve a `uuid_conflict`, change the UUID of the item attempting to be saved to a new UUID, then re-sync.
+
+#### Deletion
+
+To delete an item permanently, set `deleted` to `true` on the `Item` and sync. When receiving an item that is `deleted`, remove it from the local database immediately.
diff --git a/docs/docs/template.md b/docs/docs/template.md
new file mode 100644
index 000000000..9e8abe001
--- /dev/null
+++ b/docs/docs/template.md
@@ -0,0 +1,16 @@
+---
+slug: template/
+id: template
+title: Template
+sidebar_label: Template
+description: Template
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Template
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
diff --git a/docs/docs/troubleshooting/import-backups.md b/docs/docs/troubleshooting/import-backups.md
new file mode 100644
index 000000000..a811ba987
--- /dev/null
+++ b/docs/docs/troubleshooting/import-backups.md
@@ -0,0 +1,56 @@
+---
+slug: import-backups
+id: import-backups
+title: How to import a backup without being signed in
+sidebar_label: Import backups
+description: How to import a backup in the Standard Notes web and desktop app without being signed in.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - web
+  - desktop
+  - import backups
+  - backups
+  - import
+  - data
+  - account
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+We are aware of issues with importing backups belonging to another account when that account is still registered, such as when you are [changing your account email](https://standardnotes.com/help/7/how-can-i-change-my-account-email). If you are signed in to your new account, some tags are duplicated and are not properly assigned to notes and a significant number of notes, tags and/or editors are not imported. We are working on a fix. As a temporary workaround, you can import the backup while signed out of the app before signing in to the new account. Then, when you sign in, choose to merge local data (this is an option that is on by default).
+
+:::note
+For the best experience, use a backup that was exported from the [web](https://app.standardnotes.org) or desktop app. A backup that was generated from [CloudLink](https://standardnotes.com/help/27/how-do-i-enable-dropbox-google-drive-or-onedrive-backups) may not work as well.
+:::
+
+## Clear your account
+
+If you are trying to change your sync account email from an old email to a new email and tried to import a backup but encountered the issues described above, then you probably want to clear your **new** account before reimporting the backup. Please **do not** clear your **old** account until your backup has been successfully imported in your new account.
+
+There are two ways to clear your account: delete everything using the free Batch Manager extension or use the [reset tool](https://standardnotes.com/reset). The reset tool ensures that your new account is completely empty before you reimport your backup.
+
+## Reimport backup
+
+After clearing your new account, please download a backup from your old account and import it into your new account while merging local data:
+
+1. Open the [web app](https://app.standardnotes.org) or desktop app.
+
+2. Export an encrypted or decrypted backup from your old account via the **Account** menu at the bottom left corner of the app.
+
+3. After you have an export downloaded on your computer, click **Sign Out**, then click **Clear session data**.
+
+4. Click on the **Account** menu. Without signing in, click on **Import Backup** to import your backup into the app. If you are importing an encrypted backup, enter your previous password when prompted.
+
+5. Sign in to your new account with Merge local data **on** (this is on by default).
+
+   a. If you cleared your new account using the Batch Manager, then you can sign in to your new account. Click on **Sign In**, enter your account's credentials, and make sure the **Merge local data** option is selected before clicking on **Sign In** again.
+
+   b. If you cleared your account using the [reset tool](https://standardnotes.com/reset), then you need to register your new account again. Click on **Register**, enter your email and password, confirm the password, and make sure the **Merge local data** option is selected before clicking on **Register** again.
+
+6. After signing in, verify that all your notes, tags, and other items were properly imported into your account.
diff --git a/docs/docs/troubleshooting/reset-apps.md b/docs/docs/troubleshooting/reset-apps.md
new file mode 100644
index 000000000..c286511e5
--- /dev/null
+++ b/docs/docs/troubleshooting/reset-apps.md
@@ -0,0 +1,82 @@
+---
+slug: reset-apps
+id: reset-apps
+title: How do I reset the app?
+sidebar_label: Reset the Apps
+description: How to reset the Standard Notes app on each platform.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - reset apps
+  - delete
+  - clear storage
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+If you are experiencing issues with signing in to the apps, you may want to clear the app’s storage. Before proceeding, please sign in to the [web](https://app.standardnotes.org) app (in a different browser, if needed) to confirm that notes, tags, and other items on your notes syncing account that were modified or created on another device were saved and synced to our servers.
+
+:::warning
+If you do not have an account, do not proceed with these steps until a fix has been made available. You may have some luck in simply entering in your password or passcode several times until the app unlocks.
+:::
+
+## Mobile
+
+**Please note:** Reinstalling the app on mobile devices may download a backup of your app from the cloud and you might run into the same issue again. Clearing the cache alone is usually not enough to reset the app. If you have an [account](https://app.standardnotes.org) with us and can verify that your changes have synced, then clearing the app's storage will not result in the loss of your notes.
+
+### [Android](https://play.google.com/store/apps/details?id=com.standardnotes&hl=en_US)
+
+1. Locate the Standard Notes app in the app drawer.
+2. Press and hold the app’s icon until a small menu appears.
+3. Tap on **App Info**.
+4. Locate and use the option to delete/clear the app’s storage (and cache).
+5. Relaunch the app and sign in again.
+
+**Please note:** Do not reinstall the app afterwards.
+
+### [iOS](https://apps.apple.com/us/app/standard-notes/id1285392450)
+
+1. Please open the **Settings** app, and navigate to your iCloud backups with the following path:
+   **[Your name and iCloud account username (at the top)] → iCloud → Manage Storage → Backups → [Tap on the correct device]**
+2. Wait for the list of apps to load.
+   - Tap on “Load all/more apps” if necessary and wait for the list to expand once more
+3. Finally, locate the Standard Notes app and tap on the toggle button to remove the current and all future backups of the app from iCloud.
+4. From there, please reinstall the app and sign in again.
+   - You can enable the setting to backup the app to iCloud again, if you would like.
+
+## [Desktop](https://standardnotes.com/download) and [Web](https://app.standardnotes.org)
+
+The methods for clearing the storage of the [desktop](https://standardnotes.com/download) and [web](https://app.standardnotes.org) apps are largely similar but require toggling the developer tools, which requires different sets of steps.
+
+### Desktop
+
+1. Click on the menu button/bar.
+2. Click on the **View** dropdown menu.
+3. Click on the **Toggle Developer Tools** option.
+4. Expand it until it reveals a button for tab named **Application**.
+5. Click on **Clear Storage**.
+6. Click on **Clear site data**.
+7. Sign in again.
+
+### Web
+
+#### Chromium-based browsers, such as Google Chrome, Vivaldi, and Microsoft Edge
+
+1. Right-click anywhere on the web app.
+2. Click on **Inspect Element** in the context menu.
+3. Expand the Developer Tools view that appears until it reveals a button for tab named **Application**.
+4. Click on **Clear Storage**.
+5. Click on **Clear site data**.
+6. Sign in again.
+
+#### Firefox-based browsers
+
+1. Right-click anywhere on the web app.
+2. Click on **Inspect Element** in the context menu.
+3. Click on the **Storage tab**.
+4. Expand each item on the left side.
+5. Check on all of the items at the lowest levels by clicking on each one, and then click on the items that appear on the right (if there are any) and delete them.
+6. Sign in again.
diff --git a/docs/docs/usage/action-bar.md b/docs/docs/usage/action-bar.md
new file mode 100644
index 000000000..673ed824e
--- /dev/null
+++ b/docs/docs/usage/action-bar.md
@@ -0,0 +1,63 @@
+---
+title: Action Bar
+sidebar_label: Action Bar
+description: How to use the Standard Notes Action Bar.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - action bar
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+The Action Bar is a utility bar for Standard Notes. It provides information about the current note and a few useful actions.
+
+## Information
+
+The Action Bar provides the following information:
+
+- The title of the note
+- The date and time when the note was created
+- The date and time when the note was last updated
+- The approximate number of words in the note (as determined by the spaces)
+- The approximate number of paragraphs in the note (as determined by line skips)
+- The number of characters in the note
+- The approximate read time of the note in minutes (approximated with a read speed of 200 words per minute)
+
+## Actions
+
+The Action Bar provides the following actions:
+
+- Copy the current date to your clipboard in the format `Month/Date/Year, Hour:Minute AM/PM`
+- Duplicate the note
+- Copy the contents of the note to your clipboard
+- Save the contents of the note to a file.
+- Email the note. This creates and clicks a `mailto:` link with the note's title as the subject of the email and the note's content as the body of the email.
+
+:::tip
+The default extension for saving a note is `.txt`. You can also save your files with `.md`, `.html`, and `.tex` extensions. If you frequently export a note with a particular file extension, you can add the extension to the title of the note. For example, naming your note `My Blog Post.md` or `Book.tex` will export the notes as `.md` and `.tex` files, respectively.
+:::
+
+## Development
+
+The Action Bar is written in JavaScript and compiled with Grunt.
+
+1. Clone the [action-bar](https://github.com/standardnotes/action-bar) repository from GitHub.
+2. Run `npm install` to install required dependencies.
+3. Ensure that either the Standard Notes desktop app is available for use or the web app is accessible. Use both locally or with an Extended account (or the extension will not load).
+4. Follow the instructions [here](/extensions/local-setup) to setup the extension locally.
+   - For the `area` property, use `editor-stack`
+5. Begin development! Upon making any changes to the code, run `grunt` to build the files to the `dist` folder.
+
+## License
+
+The Action Bar is licensed under the GNU [AGPL-3.0-or-later](https://github.com/standardnotes/action-bar/blob/master/LICENSE).
+
+## Resources
+
+- [GitHub](https://github.com/standardnotes/action-bar)
diff --git a/docs/docs/usage/autocomplete-tags.md b/docs/docs/usage/autocomplete-tags.md
new file mode 100644
index 000000000..bd012210f
--- /dev/null
+++ b/docs/docs/usage/autocomplete-tags.md
@@ -0,0 +1,28 @@
+---
+title: Autocomplete Tags
+sidebar_label: Autocomplete Tags
+description: How to use the Standard Notes quick tags extension.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Template
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Work more efficiently by quickly selecting from a live list of tags while you type. Supports keyboard shortcuts and folders.
+
+## Development
+
+The Autocomplete Tags component is written in JavaScript is compiled with Grunt.
+
+## License
+
+The Autocomplete Tags component is licensed under the GNU [AGPL-3.0 or Later](https://github.com/sn-extensions/autocomplete-tags/blob/master/LICENSE)
+
+## Resources
+
+- [GitHub](https://github.com/sn-extensions/autocomplete-tags)
diff --git a/docs/docs/usage/bold-editor.md b/docs/docs/usage/bold-editor.md
new file mode 100644
index 000000000..9c6f0170f
--- /dev/null
+++ b/docs/docs/usage/bold-editor.md
@@ -0,0 +1,67 @@
+---
+id: 'bold-editor'
+title: Bold Editor
+sidebar_label: Bold Editor
+description: How to use the Standard Notes bold editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - bold editor
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+export const Highlight = ({children, color}) => ( <span style={{
+      backgroundColor: color,
+      borderRadius: '2px',
+      color: '#fff',
+      padding: '0.2rem',
+    }}> {children} </span>
+//#28a745 green
+//#1877F2 blue
+//#ffc107 yellow
+//#dc3545 red
+ );
+
+## Introduction
+
+The Bold Editor is a [derived editor](https://standardnotes.com/help/77/what-are-editors) for Standard Notes. It is derived from the [Redactor](https://imperavi.com/redactor). The instructions for adding in-line images, videos, and audio recordings are available [here](https://standardnotes.com/help/71/how-do-i-add-images-to-my-notes).
+
+### <Highlight color="#1877F2">Warning</Highlight>
+
+Changing the editor for a note to the Bold Editor will add `html` tags around each line of your text. These tags will be present when you change the editor back to a markdown editor.
+
+If you want to convert a note from HTML to plaintext, you will need to remove these tags manually or by using a separate text editor such as [VS Code](https://code.visualstudio.com/) or [Atom](https://atom.io) because we do not yet have a "find and replace" feature. If you would like to test the Bold Editor with your note, you can restore a previous copy of the note in the Session History. If you restore an old copy, then any changes made with the Bold Editor will be lost.
+
+The search feature in the [Minimist editor](https://standardnotes.com/extensions/markdown-minimist) may help you remove the tags manually.
+
+## Keyboard Shortcuts
+
+| Result             | Shortcut                         |
+| :----------------- | :------------------------------- |
+| Remove format      | Ctrl/⌘ + m                       |
+| Undo               | Ctrl/⌘ + z                       |
+| Redo               | Ctrl/⌘ + y or Shift + Ctrl/⌘ + z |
+| Bold               | Ctrl/⌘ + b                       |
+| Italic             | Ctrl/⌘ + i                       |
+| Superscript        | Ctrl/⌘ + h                       |
+| Subscript          | Ctrl/⌘ + l                       |
+| Link               | Ctrl/⌘ + k                       |
+| Ordered List       | Ctrl/⌘ + Shift + 7               |
+| Unordered List     | Ctrl/⌘ + Shift + 8               |
+| Outdent            | Ctrl/⌘ + [                       |
+| Indent             | Ctrl/⌘ + ]                       |
+| Normal (Pagagraph) | Ctrl/⌘ + Alt + 0                 |
+| Heading 1          | Ctrl/⌘ + Alt + 1                 |
+| Heading 2          | Ctrl/⌘ + Alt + 2                 |
+| Heading 3          | Ctrl/⌘ + Alt + 3                 |
+| Heading 4          | Ctrl/⌘ + Alt + 4                 |
+| Heading 5          | Ctrl/⌘ + Alt + 5                 |
+| Heading 6          | Ctrl/⌘ + Alt + 6                 |
+
+## Further Resources
+
+- [GitHub](https://github.com/standardnotes/bold-editor) - Development instructions, license (AGPL-3.0-or-later), and source code.
diff --git a/docs/docs/usage/code-editor.md b/docs/docs/usage/code-editor.md
new file mode 100644
index 000000000..1bd79321c
--- /dev/null
+++ b/docs/docs/usage/code-editor.md
@@ -0,0 +1,15 @@
+---
+id: 'code-editor'
+title: Code Editor
+sidebar_label: Code Editor
+description: How to use the Standard Notes code editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - code editor
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
diff --git a/docs/docs/usage/code-pro.md b/docs/docs/usage/code-pro.md
new file mode 100644
index 000000000..99f286b8e
--- /dev/null
+++ b/docs/docs/usage/code-pro.md
@@ -0,0 +1,56 @@
+---
+slug: code-pro
+id: code-pro
+title: Code Pro Editor (Beta)
+sidebar_label: Code Pro Editor
+description: How to use the Standard Notes Code Pro Editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Code Pro Editor
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Code Pro is a [derived editor](https://standardnotes.com/help/77/what-are-editors) for [Standard Notes](https://standardnotes.com), a free, [open-source](https://standardnotes.com/knowledge/5/what-is-free-and-open-source-software), and [end-to-end encrypted](https://standardnotes.com/knowledge/2/what-is-end-to-end-encryption) notes app.
+
+Code Pro is a code editor powered by the [Monaco Editor](https://microsoft.github.io/monaco-editor/) (Visual Studio Code). It is meant for writing Markdown and 60 other programming languages.
+
+Code Pro is not meant to be used on mobile devices.
+
+## Features
+
+- Syntax highlighting for Markdown and more than 60 other programming languages
+  - Languages supported: abap, aes, apex, azcli, bat, c, cameligo, clojure, coffeescript, cpp, csharp, csp, css, dart, dockerfile, fsharp, go, graphql, handlebars, hcl, html, ini, java, javascript, json, julia, kotlin, less, lexon, lua, markdown, mips, msdax, mysql, objective-c, pascal, pascaligo, perl, pgsql, php, plaintext, postiats, powerquery, powershell, pug, python, r, razor, redis, redshift, restructuredtext, ruby, rust, sb, scala, scheme, scss, shell, sol, sql, st, swift, systemverilog, tcl, twig, typescript, vb, verilog, xml, yaml
+- Autocompletion
+- Intelligent autocompletion for CSS, JavaScript, JSON, Less, Handlebars, HTML, Razor, SCSS, and TypeScript
+- Sophisticated search and replace
+- Prettier formatting for CSS, GraphQL, Markdown, HTML, JavaScript, Less, TypeScript, Sass, and Yaml. Built-in formatting for JSON.
+- Settings: language, font size, tab size (`2` or `4`), theme (light, dark, high contrast, or SN themed), and word wrap (`on`, `off`, and `bounded`)
+- Per-note settings
+- Buttons to save and load default settings
+
+## Keyboard Shortcuts
+
+Perform these shortcuts with the editor
+
+| Action                                                          | Shortcut                                         |
+| :-------------------------------------------------------------- | :----------------------------------------------- |
+| Toggle word wrap between `on` and `off` (bounded is unaffected) | <kbd>Alt</kbd> + <kbd>Z</kbd>                    |
+| Format code with Prettier^                                      | <kbd>Shift</kbd> + <kbd>Alt</kbd> + <kbd>F</kbd> |
+| Toggle Tab Key Moves Focus (vs tab spacing)                     | <kbd>Ctrl/⌘</kbd> + <kbd>M</kbd>                 |
+
+^ For CSS, GraphQL, Markdown, HTML, JavaScript, Less, TypeScript, Sass, and Yaml. Some languages, such as JSON, have built-in formatters.
+
+Each time the editor refreshes (e.g., toggling word wrap, formatting code), the editor remembers your position (line number and column) and centers it on the screen if it's not already in focus.
+
+## Settings
+
+The settings for each note are saved automatically after they are changed. Loading default settings will sync the note's settings with the default settings and save automatically.
+
+### Themes
+
+The Monaco Editor comes with three themes: `vs` (a white/light theme), `vs-dark` (a dark theme like the default theme for VS Code), and `hc-black` (a high contrast dark theme). There is also one more option: `sn-theme`. The `sn-theme` option takes either `vs` or `vs-dark` depending on your system theme and adjusts some of the colors (e.g., link colors) to match the theme. The `sn-theme` is still a work-in-progress.
diff --git a/docs/docs/usage/filesafe-aws.md b/docs/docs/usage/filesafe-aws.md
new file mode 100644
index 000000000..6d0513826
--- /dev/null
+++ b/docs/docs/usage/filesafe-aws.md
@@ -0,0 +1,138 @@
+---
+slug: filesafe/aws
+id: filesafe-aws
+title: FileSafe with Amazon S3
+sidebar_label: Amazon S3
+description: How to use Amazon S3 with Standard Notes FileSafe.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - FileSafe
+  - AWS Amazon S3
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+This guide will help you set up your AWS account with an S3 bucket and User to be used by the Standard Notes FileSafe extension.
+
+## Log In
+
+Start by logging into your [AWS account](https://console.aws.amazon.com). Make sure to pick your preferred region in the top right corner.
+
+![image](/img/filesafe/aws/preferred-region.png)
+
+Check the [list of regions](https://docs.aws.amazon.com/general/latest/gr/rande.html) and take note of the region code you picked. In the example above I picked **Paris** so my region code is **eu-west-3**.
+
+## Create the S3 bucket
+
+In the Services dropdown of the AWS console pick the **S3 storage service** and click on the **Create bucket** button.
+
+Choose a name for your bucket and select the region you chose before.
+
+![image](/img/filesafe/aws/create-bucket.png)
+
+You can **skip directly to step 3** if you don't want any additional features such as _versioning_ or _logging_ for your bucket.
+
+In **step 3** make sure to keep **_Block all public access_** selected.
+
+After confirming your settings you should see your new bucket.
+
+![image](/img/filesafe/aws/block-all-public-access.png)
+
+## Create the IAM user with the required permissions
+
+We'll start by creating the read/write policy for the new bucket, then, we'll create a group with that policy and finally create our user and assign it to our group.
+
+## Create the policy
+
+In the services dropdown select **IAM** and go to **Policies.** Click on the **Create policy** button and you should see the following screen:
+
+![image](/img/filesafe/aws/create-policy.png)
+
+Now click on the JSON tab and add the following policy configuration:
+
+```json
+{
+  "Version": "2012-10-17",
+  "Statement": [
+    {
+      "Effect": "Allow",
+      "Action": ["s3:ListBucket"],
+      "Resource": ["arn:aws:s3:::<bucket-name>"]
+    },
+    {
+      "Effect": "Allow",
+      "Action": ["s3:PutObject", "s3:GetObject", "s3:DeleteObject"],
+      "Resource": ["arn:aws:s3:::<bucket-name>/*"]
+    }
+  ]
+}
+```
+
+Make sure to replace **`<bucket-name>`** with the name of the bucket you created in the previous step.
+
+Click on the **Review policy** button, pick the name for your policy and create the policy.
+
+![image](/img/filesafe/aws/review-policy.png)
+
+## Create the group
+
+Back on the **IAM** console pick **Groups** from the side menu and click on **Create New Group.**
+Choose your group name, click N**ext Step** and pick the policy you created previously.
+
+![image](/img/filesafe/aws/create-group.png)
+
+![image](/img/filesafe/aws/attach-policy-to-group.png)
+
+After reviewing your configuration create the group.
+
+![image](/img/filesafe/aws/review-group.png)
+
+## Creating the user
+
+Back on the **IAM** console pick **Users** from the side menu and click on **Add user**.
+
+Choose a user name and make sure to select **Programmatic access.**
+
+![image](/img/filesafe/aws/create-user.png)
+
+On the next screen add our user to the group we just created.
+
+![image](/img/filesafe/aws/add-user-to-group.png)
+
+You can skip the tags screen and create the user.
+
+In the success screen make sure to either download the **CSV** or copy the **Access key ID** and **Secret access key** as you won't be able to view the secret access key in the future.
+
+![image](/img/filesafe/aws/copy-access-key.png)
+
+## Standard Notes
+
+In **Standard Notes** pick **Add New** from the **Integrations** section in **FileSafe**.
+
+![image](/img/filesafe/aws/add-integration-in-sn.png)
+
+In the **Link Integrations** page pick the **AWS S3** option and fill all the required information.
+
+![image](/img/filesafe/aws/link-integrations.png)
+
+![image](/img/filesafe/aws/submit-integration.png)
+
+Copy the code generated to **Standard Notes** and you should see the **AWS S3** integration in the app.
+
+![image](/img/filesafe/aws/test-integration-1.png)
+
+### Testing the integration
+
+Simply attach a file to your note to test the integration. The file should be available in **Standard Notes** and in your **S3 bucket** under **FileSafe**:
+
+![image](/img/filesafe/aws/test-integration-2.png)
+
+![image](/img/filesafe/aws/view-test-integration-in-aws.png)
+
+Congratulations! **FileSafe** is now integrated with your **S3 bucket**.
diff --git a/docs/docs/usage/folders.md b/docs/docs/usage/folders.md
new file mode 100644
index 000000000..0d577e3e5
--- /dev/null
+++ b/docs/docs/usage/folders.md
@@ -0,0 +1,55 @@
+---
+title: Folders
+sidebar_label: Folders
+description: How to use the Standard Notes folders extension.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Template
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+You can use the [Folders](https://standardnotes.com/extensions/folders) extension to create nested folders from your tags with easy drag and drop. Folders also supports [Smart Tags](/usage/tags), which allow you to build custom filters for viewing your notes.
+
+## Terminology
+
+The words _tags_ and _folders_ can be used interchangeably in the Standard Notes context. However, when discussing their use on the web and desktop apps, it is helpful to distinguish them. The labels located at the top of the app are referred to as _tags_ and the labels located on the left side of the app are referred to as _folders_.
+
+When tags are nested inside other tags, the outer/higher level tag is called a _parent_ tag and the inner/lower level tag is called a _child_ tag.
+
+Nested tags are recorded in a `Parent.Child` format and appear that way on mobile.
+
+## Usage
+
+If you add a child tag to a note, the tag's parent tag may or may not be added depending on how you add the child tag.
+
+If you create a note in a folder (e.g., the **All** folder) and add a child tag using the [Quick Tags](/usage/tags) extension, its parent tag will also be added. If you create a note in the child folder, the child tag will automatically be added to the note, but the tag for the parent folder will not be added.
+
+For example, if your **Recipes** folder includes the **Cakes** and **Pasta** tags, then there are two main ways to approach adding "Spaghetti Recipe" note to the **Pasta** folder:
+
+- Create a note in the **Pasta** folder. One tag will be added: **Recipes.Pasta**.
+- Create the note a folder other than the **Pasta** folder and type "Pasta" into the top input field for tags. Two tags will be added: **Recipes** and **Recipes.Pasta**.
+
+:::note
+
+You may need to refresh your app after deleting a folder/tag.
+
+:::
+
+## Development
+
+The Folders Component is written in JavaScript and compiled with Grunt.
+
+## License
+
+The source code for the Folders Component is licensed under GNU [AGPL-3.0-or-later](https://github.com/standardnotes/folders-component/blob/master/LICENSE).
+
+## Resources
+
+- [GitHub](https://github.com/standardnotes/folders-component)
diff --git a/docs/docs/usage/general.md b/docs/docs/usage/general.md
new file mode 100644
index 000000000..a2d53c6c8
--- /dev/null
+++ b/docs/docs/usage/general.md
@@ -0,0 +1,79 @@
+---
+slug: /usage
+id: general
+title: General Usage
+sidebar_label: General Usage
+description: How to use the Standard Notes app.
+keywords:
+  - standard notes
+  - notes app
+  - end-to-end encryption
+  - usage
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Keyboard Shortcuts
+
+### Edit
+
+| Result                            | Windows/Linux    | Mac                 |
+| :-------------------------------- | :--------------- | :------------------ |
+| Undo                              | Ctrl + Z         | ⌘ + Z               |
+| Redo                              | Ctrl + Y         | ⌘ + Y               |
+| Cut                               | Ctrl + X         | ⌘ + X               |
+| Copy                              | Ctrl + C         | ⌘ + C               |
+| Paste                             | Ctrl + V         | ⌘ + V               |
+| Paste and Match Style\*           | Ctrl + Shift + V | ⌘ + Shift + V       |
+| Select All                        | Ctrl + A         | ⌘ + A               |
+| Jump to the beginning of the note | Ctrl + Home      | ⌘ + Home or ⌘ + Up  |
+| Jump to the end of the note       | Ctrl + End       | ⌘ + End or ⌘ + Down |
+
+\*Paste and Match Style only works with Rich Text Editors such as the Bold and Plus editors
+
+### View
+
+| Result                 | Windows/Linux             | Mac                    |
+| :--------------------- | :------------------------ | :--------------------- |
+| Reload                 | Ctrl + R                  | ⌘ + R                  |
+| Toggle Developer Tools | Ctrl + Shift + I          | ⌘ + Shift + I          |
+| Actual Size            | Ctrl + 0                  | ⌘ + 0                  |
+| Zoom In                | Ctrl + Shift + `+` (plus) | ⌘ + Shift + `+` (plus) |
+| Zoom Out               | Ctrl + `-` (minus)        | ⌘ + `-` (minus)        |
+| Toggle Full Screen     | F11                       | F11                    |
+| Hide Menu Bar\*        | Alt + M                   | Alt + M                |
+
+\*The Hide Menu Bar shortcut is available only when not using the Themed Menu Bar (window decoration). To toggle the Themed Menu Bar on Windows and Linux, visit **☰** > View > Themed Menu Bar.
+
+### Window
+
+| Result   | Windows/Linux | Mac   |
+| :------- | :------------ | :---- |
+| Minimize | Ctrl + M      | ⌘ + M |
+| Close    | Ctrl + W      | ⌘ + W |
+
+### Reserved
+
+These keyboard shortcuts have not been implemented but are reserved for future use. Developers who are interested in implementing keyboard shortcuts for their extensions should avoid using these shortcuts.
+
+- Ctrl/⌘ + `T`
+- Ctrl/⌘ + Shift + `F`
+- Ctrl/⌘ + Shift + `L`
+
+## Note Options
+
+What does it mean to lock or protect a note?
+
+<!-- Copied from https://standardnotes.com/help/54/what-does-it-mean-to-lock-or-protect-a-note -->
+
+Here is a list of available options on a note and what they represent:
+
+| Option            | Description                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |
+| :---------------- | :------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |
+| **Pin**           | Pinning a note will anchor it to the top of your list of notes, sorted according to the global sort order (specified in your _Options_).                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |
+| **Archive**       | Archiving a note will stash your note and hide it from your usual interface. Archived notes can be found by choosing the reserved _Archived_ view in the tags panel. Archiving a note does not affect or improve performance, as the note is still saved and loaded, but not displayed in the list of all notes or within a particular tag. Archiving is useful for notes that no longer contain actionable data, but want to be preserved for historical purposes. For example, if a note contains a list of todos, and you've completed all the todos, archiving the note would make sense.                                                                 |
+| **Lock**          | Locking a note will put it read-only mode, which means it can't be edited or deleted until you unlock it. This is to prevent accidental modification of sensitive notes, like passwords or credentials that aren't likely to change often.                                                                                                                                                                                                                                                                                                                                                                                                                    |
+| **Protect**       | Protecting a note marks the note as sensitive, and makes it so that additional authentication is required to view the note. The form of authentication used depends on your configuration. You will be asked to authenticate with your passcode or biometrics (mobile) if you have that configured. If you do not have a passcode or biometrics configured, you will be asked to authenticate with your account password. If neither of those are configured and there is no protection source available, the protected action will proceed without authentication. In addition, protecting a note will automatically hide its preview in your list of notes. |
+| **Preview**       | On web and desktop, selecting the Preview option will toggle whether to hide or show the note preview in the list of notes. You can hide previews for a particular note if you'd like to conserve vertical space in your list of notes, or to hide sensitive data. However, we recommend _Protecting_ a note if you'd like to hide sensitive information.                                                                                                                                                                                                                                                                                                     |
+| **Move to Trash** | Moving a note to the trash will mark the note as deleted, and remove it from your interface. However, your note will still exist in your Trash, which you can access from your list of _Views_. From the trash, you can restore the note, or choose to delete it permanently. You can also empty the entirety of your trash by choosing **Options → Empty Trash** from the note editor panel.                                                                                                                                                                                                                                                                 |
diff --git a/docs/docs/usage/github-push.md b/docs/docs/usage/github-push.md
new file mode 100644
index 000000000..13b87d802
--- /dev/null
+++ b/docs/docs/usage/github-push.md
@@ -0,0 +1,30 @@
+---
+slug: github-push
+id: github-push
+title: GitHub Push
+sidebar_label: GitHub Push
+description: How to use the Standard Notes GitHub Push extension.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - github push
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+The GitHub Push Action Extension pushes a note to a public or private repository. You can choose a directory, extension and commit message, as well as which repository to push to.
+
+Required permissions for public repo access:
+
+- public_repo
+
+![Public access](https://user-images.githubusercontent.com/772937/92886567-9a8a8700-f3c8-11ea-9560-b1956eecdf4b.png)
+
+Required permissions for private repo access:
+
+- repo
+
+![Private access](https://user-images.githubusercontent.com/772937/92886571-9bbbb400-f3c8-11ea-86d8-713f0041a5ba.png)
diff --git a/docs/docs/usage/markdown-basic.md b/docs/docs/usage/markdown-basic.md
new file mode 100644
index 000000000..c8b0e1a3e
--- /dev/null
+++ b/docs/docs/usage/markdown-basic.md
@@ -0,0 +1,122 @@
+---
+id: 'markdown-basic'
+title: Markdown Basic Editor
+sidebar_label: Markdown Basic
+description: How to use the Standard Notes Markdown Basic editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - markdown basic
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+Markdown Basic is a [custom editor](https://standardnotes.com/help/77/what-are-editors) for Standard Notes. It uses Markdown-It to parse Markdown.
+
+## Features
+
+- Markdown via Markdown-It
+- Syntax Highlighting via Highlight.js
+- Optional split pane view
+- Task Lists
+- Tables
+- Footnotes
+- Inline external images
+
+## Installation
+
+1. Register for an account at Standard Notes using the [Desktop App](https://standardnotes.com/download) or [Web app](https://app.standardnotes.org). Remember to use a strong and memorable password.
+2. Sign up for [Standard Notes Extended](https://dashboard.standardnotes.com/member). Then, follow the instructions [here](https://standardnotes.com/help/29/how-do-i-install-extensions-once-i-ve-signed-up-for-extended) or continue.
+3. Click **Extensions** in the lower left corner.
+4. Under **Repository**, find **Markdown Basic**.
+5. Click **Install**.
+6. Close the **Extensions** pop-up.
+7. At the top of your note, click **Editor**, then click **Markdown Basic**.
+8. Click **Continue**.
+
+After you have installed the editor on the web or desktop app, it will automatically sync to your [mobile app](https://standardnotes.com/download) after you sign in.
+
+## Style Guide
+
+| Result             | Markdown                                     |
+| :----------------- | :------------------------------------------- |
+| **Bold**           | \*\*text\*\* or \_\_text\_\_                 |
+| _Emphasize_        | \*text\* or \_text\_                         |
+| ~~Strike-through~~ | \~\~text\~\~                                 |
+| Link               | [text]\(http://)                             |
+| Image              | ![text]\(http://)                            |
+| `Inline Code`      | \`code\`                                     |
+| Code Block         | \`\`\`language <br></br>code <br></br>\`\`\` |
+| Unordered List     | \* item <br></br> - item <br></br> + item    |
+| Ordered List       | 1. item                                      |
+| Task List          | `- [ ] Task` or `- [x] Task`                 |
+| Blockquote         | \> quote                                     |
+| H1                 | # Heading                                    |
+| H2                 | ## Heading                                   |
+| H3                 | ### Heading                                  |
+| H4                 | #### Heading                                 |
+| Section Breaks     | `---` or `***`                               |
+
+## Tables
+
+Colons can be used to align columns.
+Copy this into your editor to see what it renders:
+
+```
+| Tables           |      Are      |   Cool    |
+| ---------------- | :-----------: | --------: |
+| col 2 is         |   centered    |    \$149   |
+| col 3 is         | right-aligned |    \$4.17  |
+| privacy is       |    neat       |    \$2.48  |
+| rows don't need to  |be pretty|     what? |
+| the last line is | unnecessary   |   really?
+| one more         |    row        |   Yay! 😆
+```
+
+## Footnotes
+
+The Markdown Basic editor supports footnotes. The footnote links do not work properly on mobile. Copy this into your note to see how they're used:
+
+```md
+You can create footnote references that are short[^1] or long.[^2]
+You can also create them inline.^[which may be easier,
+since you don't need to pick an identifier and move down to type the note]
+The footnotes are automatically numbered at the bottom of your note,
+but you'll need to manually number your superscripts.
+Make sure to count your variable[^variable] footnotes.[^5]
+
+[^1]: Here's a footnote.
+[^2]: Here’s a footnote with multiple blocks.
+
+  Subsequent paragraphs are indented to show that they belong to the previous footnote.
+
+  { eight spaces for some code }
+
+  The whole paragraph can be indented, or just the first
+  line. In this way, multi-paragraph footnotes work like
+  multi-paragraph list items.
+
+This paragraph won’t be part of the footnote, because it
+isn’t indented.
+
+[^variable]: The variable footnote is the fourth footnote.
+[^5]: This is the fifth footnote.
+```
+
+#### Not yet available:
+
+- KaTeX
+- Printing
+- Custom Font Families
+- Custom Font Sizes
+- Superscript
+- Subscript
+
+## Further Resources
+
+- [GitHub](https://github.com/sn-extensions/markdown-basic/) - Development instructions, license (AGPL-3.0-or-later), and source code.
diff --git a/docs/docs/usage/markdown-math.md b/docs/docs/usage/markdown-math.md
new file mode 100644
index 000000000..6d9e9505e
--- /dev/null
+++ b/docs/docs/usage/markdown-math.md
@@ -0,0 +1,98 @@
+---
+id: 'markdown-math'
+title: Markdown Math
+sidebar_label: Markdown Math
+description: How to use the Standard Notes Markdown Math editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - markdown math
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+The Markdown Math editor (aka Math Editor) is a [derived editor](https://standardnotes.com/help/77/what-are-editors) for Standard Notes. It is derived from the [Upmath](https://github.com/parpalak/upmath.me) editor by [Roman Parpalak](https://github.com/parpalak), but uses [KaTeX](https://katex.org) for client-side rendering. Because the original Upmath editor and the Markdown Math editor render math using slightly different methods, some TeX libraries and their environments may be available in the Upmath editor but not in the Markdown Math editor. For a full list of functions supported by KaTeX, please see the [official KaTeX documentation](https://katex.org/docs/supported.html).
+
+## Features
+
+- $\LaTeX$ math rendering via [$\KaTeX$](https://katex.org)
+- Markdown with side-by-side live rendering
+- Option to view the HTML source of the rendered markdown
+- Option to overwrite the note text with the contents of a text file on local storage
+- Option to download the plain note text as a text file to save on local storage
+- Option to download the HTML source of the rendered text as a text file to save on local storage
+
+## Style Guide
+
+| Result             | Markdown                                     |
+| :----------------- | :------------------------------------------- |
+| **Bold**           | \*\*text\*\* or \_\_text\_\_                 |
+| _Emphasize_        | \*text\* or \_text\_                         |
+| ~~Strike-through~~ | \~\~text\~\~                                 |
+| Link               | [text]\(http://)                             |
+| Image              | ![text]\(http://)                            |
+| `Inline Code`      | \`code\`                                     |
+| Code Block         | \`\`\`language <br></br>code <br></br>\`\`\` |
+| Unordered List     | \* item <br></br> - item <br></br> + item    |
+| Ordered List       | 1. item                                      |
+| Blockquote         | \> quote                                     |
+| H1                 | # Heading                                    |
+| H2                 | ## Heading                                   |
+| H3                 | ### Heading                                  |
+| H4                 | #### Heading                                 |
+| Section Breaks     | `---` or `***`                               |
+
+## Tables
+
+Colons can be used to align columns.
+Copy this into your editor to see what it creates:
+
+```
+| Tables           |      Are      |   Cool    |
+| ---------------- | :-----------: | --------: |
+| col 2 is         |   centered    |    \$149   |
+| col 3 is         | right-aligned |    \$4.17  |
+| privacy is       |    neat       |    \$2.48  |
+| rows don't need to  |be pretty|     what? |
+| the last line is | unnecessary   |   really?
+| one more         |    row        |   Yay! 😆
+```
+
+## $\KaTeX$
+
+The Markdown Math editor requires double dollar signs. For example, `$$\int_0^\infty f(x)dx$$` or `$$\pi$$` should yield $$\int_0^\infty f(x)dx$$ and $$\pi$$.
+
+To use Display Mode in the KaTeX, use double dollar signs on new lines. For example,
+
+```latex
+Text
+
+$$
+\int_0^\infty f(x)dx
+$$
+
+More Text
+```
+
+should yield:
+
+Text
+
+$$
+\int_0^\infty f(x)dx
+$$
+
+More Text
+
+### $\KaTeX$ Tables
+
+Please see [here](https://katex.org/docs/supported.html) and [here](https://katex.org/docs/support_table.html) for tables of all the functions and symbols that $\KaTeX$ supports.
+
+## Further Resources
+
+- [GitHub](https://github.com/sn-extensions/math-editor) - Development instructions, license (AGPL-3.0-or-later), and source code.
diff --git a/docs/docs/usage/markdown-minimist.md b/docs/docs/usage/markdown-minimist.md
new file mode 100644
index 000000000..ac32703a6
--- /dev/null
+++ b/docs/docs/usage/markdown-minimist.md
@@ -0,0 +1,14 @@
+---
+id: 'markdown-minimist'
+title: Markdown Minimist Editor
+sidebar_label: Markdown Minimist
+description: How to use the Standard Notes Markdown Minimist editor.
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - markdown minimist
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
diff --git a/docs/docs/usage/markdown-pro.md b/docs/docs/usage/markdown-pro.md
new file mode 100644
index 000000000..87330a10e
--- /dev/null
+++ b/docs/docs/usage/markdown-pro.md
@@ -0,0 +1,125 @@
+---
+id: 'markdown-pro'
+title: Markdown Pro
+sidebar_label: Markdown Pro
+description: How to use the Standard Notes Markdown Pro editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - markdown pro
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+The Markdown Pro editor (aka Advanced Markdown Editor) is a [derived editor](https://standardnotes.com/help/77/what-are-editors) for Standard Notes. It is derived from the [Easy Markdown Editor](https://github.com/Ionaru/easy-markdown-editor) which uses [Codemirror](https://github.com/codemirror/codemirror).
+
+## Features
+
+- Markdown with live side-by-side rendering
+- Three views: Edit, Split, and Preview
+- Keyboard Shortcuts
+- Inline styling with HTML/CSS
+
+## Keyboard Shortcuts
+
+| Result              | Shortcut         |
+| :------------------ | :--------------- |
+| Toggle Preview      | Ctrl/⌘ + P       |
+| Toggle Side-by-Side | Ctrl/⌘ + Alt + P |
+
+## Style Guide
+
+| Result             | Markdown                                  | Shortcut                            |
+| :----------------- | :---------------------------------------- | :---------------------------------- |
+| **Bold**           | \*\*text\*\* or \_\_text\_\_              | Ctrl/⌘ + B                          |
+| _Emphasize_        | \*text\* or \_text\_                      | Ctrl/⌘ + I                          |
+| ~~Strike-through~~ | \~text\~ or \~\~text\~\~                  | ❔                                  |
+| Link               | [text]\(http://)                          | Ctrl/⌘ + K                          |
+| Image              | ![text]\(http://)                         | Ctrl/⌘ + Alt + I                    |
+| `Inline Code`      | \`code\`                                  | ❔                                  |
+| `Code Block`       | \`\`\`code\`\`\`                          | Ctrl/⌘ + Alt + C or tab or 7 spaces |
+| Unordered List     | \* item <br></br> - item <br></br> + item | Ctrl/⌘ + L                          |
+| Ordered List       | 1. item                                   | Ctrl/⌘ + Alt + L                    |
+| Remove List        |                                           | Ctrl/⌘ + E                          |
+| Blockquote         | \> quote                                  | Ctrl + ' or Ctrl + "                |
+| H1                 | # Heading                                 | Ctrl/⌘ + H                          |
+| H2                 | ## Heading                                | Ctrl/⌘ + H (×2)                     |
+| H3                 | ### Heading                               | Ctrl/⌘ + H (×3)                     |
+
+### Lists
+
+Enter a space in front of the asterisk or number to indent the list.
+Copy this into your editor to see what it creates:
+
+```
+1. First ordered list item
+2. Another item
+ * One space for unordered sub-list item
+ - One space for another sub-list item
+    * Press tab for sub-sub-list item
+  		1. Two tabs for sub-sub-sub list item 😀
+1. Actual numbers don't matter, just that it's a number
+ 1. One space for ordered sub-list item
+ 1. One space for another sub-list item
+    * Press Tab
+    1. One tab
+	    * Two tabs. You got it! 👏
+4. And another item. Success! 🎉
+```
+
+## Tables
+
+Colons can be used to align columns.
+Copy this into your editor to see what it creates:
+
+```
+| Tables           |      Are      |   Cool    |
+| ---------------- | :-----------: | --------: |
+| col 2 is         |   centered    |    \$149   |
+| col 3 is         | right-aligned |    \$4.17  |
+| privacy is       |    neat       |    \$2.48  |
+| rows don't need to  |be pretty|     what? |
+| the last line is | unnecessary   |   really?
+| one more         |    row        |   Yay! 😆
+```
+
+## Inline Styling
+
+You can personalize the styling of the editor with inline HTML/CSS. For example, if you want to use monospace font for the editor, add this to your note, and replace `var(--sn-stylekit-monospace-font)` with your preferred font-families:
+
+```html
+<style>
+  .CodeMirror {
+    font-family: var(--sn-stylekit-monospace-font);
+  }
+</style>
+```
+
+If you want to use monospace font for the preview, adjust the styles for `.editor-preview`:
+
+```html
+<style>
+  .CodeMirror,
+  .editor-preview {
+    font-family: var(--sn-stylekit-monospace-font);
+  }
+</style>
+```
+
+#### Not yet available:
+
+- Footnotes
+- Superscript
+- Subscript
+- Syntax Highlighting
+- Printing
+- Default Custom Fonts
+
+## Further Resources
+
+- [GitHub](https://github.com/standardnotes/markdown-pro) - Development instructions, license (AGPL-3.0-or-later), and source code.
diff --git a/docs/docs/usage/plus-editor.md b/docs/docs/usage/plus-editor.md
new file mode 100644
index 000000000..d725923d4
--- /dev/null
+++ b/docs/docs/usage/plus-editor.md
@@ -0,0 +1,17 @@
+---
+id: 'plus-editor'
+title: Plus Editor
+sidebar_label: Plus Editor
+description: How to use the Standard Notes Plus editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - plus editor
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Style Guide
diff --git a/docs/docs/usage/secure-spreadsheets.md b/docs/docs/usage/secure-spreadsheets.md
new file mode 100644
index 000000000..d8bff9701
--- /dev/null
+++ b/docs/docs/usage/secure-spreadsheets.md
@@ -0,0 +1,38 @@
+---
+id: 'secure-spreadsheets'
+title: Secure Spreadsheets Editor
+sidebar_label: Secure Spreadsheets
+description: How to use the Standard Notes secure spreadsheets editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Template
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Introduction
+
+Secure Spreadsheets is a [derived editor](https://standardnotes.com/help/77/what-are-editors). It is derived from [Kendo UI Professional](https://github.com/telerik/kendo-ui-core#features-of-kendo-ui-core).
+
+A demo of the Secure Spreadsheets editor is available at [standardnotes.org/demo](https://standardnotes.com/demo). To use Secure Spreadsheets with Standard Notes, please sign up for [Standard Notes Extended](https://standardnotes.com/extensions) and install it by following the instructions described [here](https://standardnotes.com/help/29/how-do-i-install-extensions-once-i-ve-signed-up-for-extended).
+
+## Export
+
+You can export your spreadsheet as an `.xlsx` to use with Libre Office, Microsoft Office, Google Sheets, or other compatible program by clicking the download icon in the top left of the spreadsheets.
+
+You can also export your spreadsheet as a `.pdf` file. The download menu has the following options:
+
+- Export: Entire Workbook, Active Sheet, or Selection.
+- Paper size: A2, A3, A4, A5, B3, B4, B5, Folio, Legal, Letter, Tabloid, and Executive.
+- Margins: Normal and Wide.
+- Orientation: Portrait or Landscape.
+- With or without Guidelines (grid lines).
+- Center: Horizontally, Vertically, Neither, or Both.
+
+## License
+
+The Secure Spreadsheets editor is derived from [Kendo UI Professional](https://github.com/telerik/kendo-ui-core#features-of-kendo-ui-core), which is not released as free and open-source software. To prevent vendor lock-in, you can easily [export your spreadsheet](#export) as an `.xlsx` or `.pdf` file.
diff --git a/docs/docs/usage/simple-task-editor.md b/docs/docs/usage/simple-task-editor.md
new file mode 100644
index 000000000..a0c69e9a0
--- /dev/null
+++ b/docs/docs/usage/simple-task-editor.md
@@ -0,0 +1,29 @@
+---
+id: 'task-editor'
+title: Simple Task Editor
+sidebar_label: Task Editor
+description: How to use the Standard Notes simple task editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - simple task editor
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+## Add Task
+
+To add a task, enter the task into the box at the top then press enter/return.
+
+## Rearrange Tasks
+
+To rearrange tasks on the desktop or web apps, click on the task's checkbox then drag it up or down.
+
+Rearranging tasks is currently unavailable on mobile.
+
+## Delete Task
+
+To delete a task, delete the task's text, then press enter/return. 😄
diff --git a/docs/docs/usage/tags.md b/docs/docs/usage/tags.md
new file mode 100644
index 000000000..d015ce869
--- /dev/null
+++ b/docs/docs/usage/tags.md
@@ -0,0 +1,168 @@
+---
+title: Smart Views
+sidebar_label: Smart Views
+description: How to use the Standard Notes Smart Views.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - tags
+  - views
+  - filters
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
+
+Questions:
+
+- How do I view a list of untagged notes (and create other dynamic filters)?
+
+## Introduction
+
+“Smart Views" are user-made dynamic folders that organize your notes according to predefined filters.
+
+For example, suppose you wanted to see a list of all notes whose title starts with “Foo”. You can do this by creating a smart tag.
+
+## Creating A Smart View
+
+1. Create a new folder by clicking the + icon.
+1. Copy and paste the following Smart View syntax, as the folder name:
+
+   ```
+   !["Foo Notes", "title", "startsWith", "Foo"]]
+   ```
+
+1. Press enter on your keyboard.
+
+At this point, you should see an item called "Foo notes" under **Views**. You can select this item to view a list of your notes that start with “Foo”.
+
+## Understanding The Smart View Syntax
+
+Smart Views can be used to construct any kind of simple query. The components of the smart tag syntax are as follows:
+
+`!`: Indicates the start of a Smart View
+
+`[...]`: A JSON array
+
+- The first item in the JSON array is the display label.
+- The second item is the note attribute you are targeting.
+- The third is the comparison operator.
+- And the last is the expected value.
+
+## More Examples
+
+Show all notes that have tags that start with the letter b:
+
+```
+!["B-tags", "tags", "includes", ["title", "startsWith", "b"]]
+```
+
+Show all notes that have tags `Blog` or `Ideas`:
+
+```
+!["Blog or Ideas", "tags", "includes", ["title", "in", ["Blog", "Ideas"]]]
+```
+
+Show notes that are pinned:
+
+```
+!["Pinned", "pinned", "=", true]
+```
+
+Show notes that are not pinned:
+
+```
+!["Not Pinned", "pinned", "=", false]
+```
+
+Show notes that have been updated within the last day:
+
+```
+!["Last Day", "updated_at", ">", "1.days.ago"]
+```
+
+Show notes whose text has more than 500 characters:
+
+```
+!["Long", "text.length", ">", 500]
+```
+
+### Compound Predicates
+
+You can use compound and/or predicates to combine multiple queries. For example, to show all notes that are pinned and locked:
+
+```
+!["Pinned & Locked", "ignored", "and", [["pinned", "=", true], ["locked", "=", true]]]
+```
+
+Show all notes that are protected or pinned:
+
+```
+!["Protected or Pinned", "ignored", "or", [["content.protected", "=", true], ["pinned", "=", true]]]
+```
+
+Show all notes that have tags `Blog` or `Ideas`.
+
+```
+!["Blog Scheduled or Published", "ignored", "or", [["tags", "includes", ["title", "=", "Blog"]], ["tags", "includes", ["title", "=", "Ideas"]]]]
+```
+
+You can also use the not predicate to negate an expression. For example, to show all notes that do not have the `Unread` tag:
+
+```
+!["Read", "tags", "not", ["tags", "includes", ["title", "=", "Unread"]]]
+```
+
+The not predicate can be combined with the compound operators. For example, to show all notes that have the Blog tag but not the Ideas one:
+
+```
+!["Blog Unpublished", "ignored", "and", [["tags", "includes", ["title", "=", "Blog"]], ["", "not", ["tags", "includes", ["title", "=", "Ideas"]]]]]
+```
+
+## Attributes
+
+Here are a list of note attributes that can be queried:
+
+- `title`
+- `title.length`
+- `text`
+- `text.length`
+- `tags`
+- `updated_at`
+- `created_at`
+- `pinned`
+- `content.protected`
+
+If constructing a filter that queries tags, you can use the following tag attributes:
+
+- `title`
+- `title.length`
+- `updated_at`
+- `created_at`
+
+Note that Smart Views always query notes, and so the query you're building refers to notes firstmost. You reference tags by referring to a note's tags:
+
+```
+!["B-tags", "tags", "includes", ["title", "startsWith", "b"]]
+```
+
+Get all notes whose tags includes a title that starts with the letter b.
+
+## Operators
+
+Here are a list of operators that can be used to construct filters. The operator is typically the third parameter in the filter syntax.
+
+- `=`
+- `>`
+- `<`
+- `>=`
+- `<=`
+- `startsWith`
+- `in` ("whether a value is in a list of values")
+- `includes` ("includes sub filter")
+- `matches` (regex pattern)
+- `and` (for compound filters)
+- `or` (for compound filters)
+- `not` (negates the expected value, attribute is ignored)
diff --git a/docs/docs/usage/token-vault.md b/docs/docs/usage/token-vault.md
new file mode 100644
index 000000000..f755c54ba
--- /dev/null
+++ b/docs/docs/usage/token-vault.md
@@ -0,0 +1,15 @@
+---
+id: 'token-vault'
+title: Token Vault Editor
+sidebar_label: Token Vault
+description: How to use the Standard Notes Token Vault extension.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - Template
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
diff --git a/docs/docs/usage/vim-editor.md b/docs/docs/usage/vim-editor.md
new file mode 100644
index 000000000..d144de654
--- /dev/null
+++ b/docs/docs/usage/vim-editor.md
@@ -0,0 +1,15 @@
+---
+id: 'vim-editor'
+title: Vim Editor
+sidebar_label: Vim Editor
+description: How to use the Standard Notes vim editor.
+keywords:
+  - standard notes
+  - docs
+  - notes app
+  - end-to-end encryption
+  - vim editor
+image: /img/logo.png
+hide_title: false
+hide_table_of_contents: false
+---
diff --git a/docs/docs/welcome.md b/docs/docs/welcome.md
new file mode 100644
index 000000000..d129f1e98
--- /dev/null
+++ b/docs/docs/welcome.md
@@ -0,0 +1,38 @@
+---
+id: welcome
+slug: /
+title: 'Welcome to the Standard Notes Documentation'
+sidebar_label: Welcome
+description: Welcome to the Standard Notes Documentation
+keywords:
+  - standard notes
+  - notes app
+  - end-to-end encryption
+  - welcome
+image: /img/logo.png
+hide_title: true
+hide_table_of_contents: false
+---
+
+## Welcome to the Standard Notes Documentation
+
+This documentation explains how to get started with using Standard Notes, publishing a blog with Listed, self-hosting a Standard Notes syncing server, developing an extension to work with Standard Notes, and developing a client application for Standard Notes (e.g., a command line application).
+
+## Topics
+
+- [Self-hosting a Syncing Server](/self-hosting/getting-started)
+- [Developing Extensions](/extensions/intro)
+- [Client Encryption API](/specification/encryption)
+- [Sync API](/specification/sync)
+- [Auth API](/specification/auth)
+
+## Staying informed
+
+- [GitHub](https://github.com/standardnotes)
+- [Twitter](https://twitter.com/standardnotes)
+- [Slack](https://standardnotes.com/slack)
+- [Blog](https://blog.standardnotes.org)
+
+## Something missing?
+
+If you find issues with the documentation or have suggestions on how to improve the documentation or the project in general, please [file an issue](https://github.com/standardnotes/forum) on the forum or send a tweet mentioning [@standardnotes](https://twitter.com/standardnotes).
diff --git a/docs/docusaurus.config.js b/docs/docusaurus.config.js
new file mode 100644
index 000000000..71ff538dd
--- /dev/null
+++ b/docs/docusaurus.config.js
@@ -0,0 +1,216 @@
+const math = require('remark-math');
+const katex = require('rehype-katex');
+
+module.exports = {
+  title: 'Standard Notes Documentation',
+  tagline: 'Extend Your Notes App',
+  url: 'https://docs.standardnotes.com',
+  baseUrl: '/',
+  favicon: 'img/favicon.png',
+  organizationName: 'standardnotes',
+  projectName: 'docs',
+  themeConfig: {
+    algolia: {
+      apiKey: 'f2899fea0369aeea336963e48a0e46dc',
+      indexName: 'standardnotes',
+    },
+    colorMode: {
+      defaultMode: 'light',
+      disableSwitch: false,
+      respectPrefersColorScheme: true,
+    },
+    hideableSidebar: true,
+    image: 'img/logo.png',
+    navbar: {
+      hideOnScroll: true,
+      title: 'Standard Notes',
+      logo: {
+        alt: 'Standard Notes Logo',
+        src: 'img/logo.png',
+      },
+      items: [
+        {
+          label: 'Developers',
+          position: 'left',
+          items: [
+            {
+              to: '/self-hosting/getting-started',
+              label: 'Self-Host a Sync Server',
+              position: 'left',
+            },
+            {
+              to: '/specification/encryption',
+              label: 'Client Encryption API',
+              position: 'left',
+            },
+            {
+              to: '/specification/sync',
+              label: 'Server API',
+              position: 'left',
+            },
+            {
+              to: '/extensions/intro',
+              label: 'Build an Extension',
+              position: 'left',
+            },
+            {
+              to: '/extensions/editors',
+              label: 'Build an Editor',
+              position: 'left',
+            },
+          ],
+        },
+        {
+          href: 'https://app.standardnotes.com',
+          label: 'Encrypted Notes App',
+          position: 'right',
+        },
+        {
+          href: 'https://standardnotes.com',
+          label: 'Standard Notes Website',
+          position: 'right',
+        },
+        {
+          href: 'https://standardnotes.com/help',
+          label: 'Help',
+          position: 'right',
+        },
+        {
+          href: 'https://blog.standardnotes.com',
+          label: 'Blog',
+          position: 'right',
+        },
+        {
+          href: 'https://github.com/standardnotes',
+          label: 'GitHub',
+          position: 'right',
+        },
+      ],
+    },
+    footer: {
+      style: 'dark',
+      links: [
+        {
+          title: 'Developers',
+          items: [
+            {
+              label: 'Self-Host a Sync Server',
+              to: '/self-hosting/getting-started',
+            },
+            {
+              label: 'Build an Extension',
+              to: '/extensions/intro',
+            },
+            {
+              label: 'Encryption Specification',
+              to: '/specification/encryption',
+            },
+          ],
+        },
+        {
+          title: 'Community',
+          items: [
+            {
+              label: 'Join our Slack',
+              href: 'https://standardnotes.com/slack',
+            },
+            {
+              label: 'Community Forum',
+              href: 'https://forum.standardnotes.org',
+            },
+            {
+              label: 'Listed Blogging Platform',
+              href: 'https://listed.to',
+            },
+          ],
+        },
+        {
+          title: 'Support',
+          items: [
+            {
+              label: 'Help & Contact',
+              href: 'https://standardnotes.com/help',
+            },
+            {
+              label: 'Twitter',
+              href: 'https://twitter.com/standardnotes',
+            },
+            {
+              label: 'Reddit',
+              href: 'https://reddit.com/r/standardnotes',
+            },
+          ],
+        },
+      ],
+      copyright: `Copyright © ${new Date().getFullYear()} <a href="https://standardnotes.com">Standard Notes</a>`,
+    },
+  },
+  stylesheets: [
+    {
+      href: '/katex/v0.12.0/katex.min.css',
+      type: 'text/css',
+      integrity:
+        'sha384-AfEj0r4/OFrOo5t7NnNe46zW/tFgW6x/bCJG8FqQCEo3+Aro6EYUG4+cU+KJWu/X',
+      crossorigin: 'anonymous',
+    },
+  ],
+  scripts: [
+    {
+      src: `/matomo.js`,
+      async: true,
+      defer: true,
+    },
+  ],
+  presets: [
+    [
+      '@docusaurus/preset-classic',
+      {
+        docs: {
+          sidebarPath: require.resolve('./sidebars.js'),
+          editUrl: 'https://github.com/standardnotes/docs/edit/main/',
+          routeBasePath: '/',
+          remarkPlugins: [math],
+          rehypePlugins: [katex],
+          showLastUpdateTime: true,
+        },
+        theme: {
+          customCss: require.resolve('./src/css/custom.scss'),
+        },
+      },
+    ],
+  ],
+  plugins: [
+    [
+      '@docusaurus/plugin-client-redirects',
+      {
+        redirects: [
+          {
+            to: '/extensions/intro',
+            from: [
+              '/extensions/introduction',
+              '/extensions/components',
+              '/extensions',
+              '/extensions/intro-to-extensions',
+            ],
+          },
+          {
+            to: '/usage/filesafe/aws',
+            from: ['/filesafe/aws'],
+          },
+          {
+            to: '/self-hosting/getting-started',
+            from: [
+              '/self-hosting',
+              '/self-hosting/getting-started-with-self-hosting',
+            ],
+          },
+          {
+            to: '/specification/encryption',
+            from: ['/specification/'],
+          },
+        ],
+      },
+    ],
+    'docusaurus-plugin-sass',
+  ],
+};
diff --git a/docs/package.json b/docs/package.json
new file mode 100644
index 000000000..801ee5686
--- /dev/null
+++ b/docs/package.json
@@ -0,0 +1,46 @@
+{
+  "name": "@standardnotes/docs",
+  "version": "0.0.0",
+  "license": "AGPL-3.0-or-later",
+  "private": true,
+  "scripts": {
+    "docusaurus": "docusaurus",
+    "start": "docusaurus start --port=3002",
+    "build": "docusaurus build",
+    "swizzle": "docusaurus swizzle",
+    "deploy": "docusaurus deploy",
+    "clear": "docusaurus clear",
+    "serve": "docusaurus serve",
+    "write-translations": "docusaurus write-translations",
+    "write-heading-ids": "docusaurus write-heading-ids",
+    "dev": "docusaurus start",
+    "pretty": "prettier --write 'src/**/*.{html,css,js,jsx,json}' 'docs/**/*.{md,mdx,js,jsx}' sidebars.js docusaurus.config.js"
+  },
+  "installConfig": {
+    "hoistingLimits": "workspaces"
+  },
+  "dependencies": {
+    "@docusaurus/core": "2.0.0-alpha.73",
+    "@docusaurus/plugin-client-redirects": "^2.0.0-alpha.73",
+    "@docusaurus/preset-classic": "2.0.0-alpha.73",
+    "clsx": "^1.1.1",
+    "docusaurus-plugin-sass": "^0.1.12",
+    "prettier": "^2.2.1",
+    "react": "^17.0.2",
+    "react-dom": "^17.0.2",
+    "rehype-katex": "^4.0.0",
+    "remark-math": "^3.0.1"
+  },
+  "browserslist": {
+    "production": [
+      ">0.2%",
+      "not dead",
+      "not op_mini all"
+    ],
+    "development": [
+      "last 1 chrome version",
+      "last 1 firefox version",
+      "last 1 safari version"
+    ]
+  }
+}
diff --git a/docs/sidebars.js b/docs/sidebars.js
new file mode 100644
index 000000000..41d9c7d05
--- /dev/null
+++ b/docs/sidebars.js
@@ -0,0 +1,59 @@
+module.exports = {
+  mainSidebar: {
+    Developers: [
+      {
+        'Self Hosting': [
+          'self-hosting/getting-started',
+          'self-hosting/infrastructure-overview',
+          'self-hosting/docker',
+          'self-hosting/configuration-options',
+          'self-hosting/legacy-migration',
+          'self-hosting/https-support',
+          'self-hosting/updating',
+          'self-hosting/subscriptions',
+          'self-hosting/file-uploads',
+        ],
+      },
+      {
+        API: [
+          'specification/encryption',
+          'specification/sync',
+          'specification/auth',
+        ],
+      },
+      {
+        Extensions: [
+          'extensions/intro',
+          {
+            type: 'category',
+            label: 'Editors',
+            items: [
+              'extensions/editors',
+              'extensions/editors-getting-started',
+              'extensions/editorkit',
+              'extensions/stylekit',
+            ],
+          },
+          'extensions/local-setup',
+          'extensions/themes',
+          'extensions/actions',
+          'extensions/publishing',
+        ],
+      },
+    ],
+    Editors: [
+      'usage/bold-editor',
+      'usage/markdown-basic',
+      'usage/markdown-math',
+      'usage/markdown-pro',
+      'usage/secure-spreadsheets',
+      'usage/task-editor',
+    ],
+  },
+  secondSidebar: {
+    Troubleshooting: [
+      'troubleshooting/reset-apps',
+      'troubleshooting/import-backups',
+    ],
+  },
+};
diff --git a/docs/src/components/CanonicalUrl.js b/docs/src/components/CanonicalUrl.js
new file mode 100644
index 000000000..6b8385136
--- /dev/null
+++ b/docs/src/components/CanonicalUrl.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Head from '@docusaurus/Head';
+
+const CanonicalUrl = ({ canonicalUrl }) => (
+  <Head>
+    <link rel="canonical" href={canonicalUrl} />
+  </Head>
+);
+
+export default CanonicalUrl;
diff --git a/docs/src/css/custom.scss b/docs/src/css/custom.scss
new file mode 100644
index 000000000..65c7c0e8f
--- /dev/null
+++ b/docs/src/css/custom.scss
@@ -0,0 +1,115 @@
+/**
+ * Any CSS included here will be global. The classic template
+ * bundles Infima by default. Infima is a CSS framework designed to
+ * work well for content-centric websites.
+ */
+
+/* You can override the default Infima variables here. */
+:root {
+  --ifm-color-primary: #086dd6;
+  --ifm-color-primary-dark: #0762c1;
+  --ifm-color-primary-darker: #075db6;
+  --ifm-color-primary-darkest: #064c96;
+  --ifm-color-primary-light: #0978eb;
+  --ifm-color-primary-lighter: #097df6;
+  --ifm-color-primary-lightest: #2a8ef7;
+  --ifm-code-font-size: 90%;
+}
+
+.docusaurus-highlight-code-line {
+  background-color: rgb(72, 77, 91);
+  display: block;
+  margin: 0 calc(-1 * var(--ifm-pre-padding));
+  padding: 0 var(--ifm-pre-padding);
+}
+
+/* Adjust dark theme colors */
+html[data-theme='dark'] {
+  --ifm-background-color: #20232a;
+}
+/* Adjust font sizes */
+@media screen and (max-width: 996px) {
+  :root {
+    --ifm-font-size-base: 18px;
+  }
+}
+
+@media screen and (min-width: 997px) {
+  :root {
+    --ifm-font-size-base: 17px;
+  }
+}
+
+article header h1[class^='docTitle'] {
+  font-size: 2rem;
+}
+
+// Don't make headers so big
+.markdown > h2,
+h3,
+h4,
+h5,
+h6 {
+  --ifm-h2-font-size: inherit !important;
+  --ifm-h3-font-size: inherit !important;
+  --ifm-h4-font-size: inherit !important;
+  --ifm-h5-font-size: inherit !important;
+  --ifm-h6-font-size: inherit !important;
+}
+
+/* Announcement Bar */
+div[class^='announcementBar'],
+button[class^='announcementBar'] {
+  background-color: var(--ifm-background-surface-color);
+  color: var(--ifm-font-color-base);
+}
+
+div[class^='announcementBar'] a {
+  color: var(--ifm-link-color);
+  text-decoration: inherit;
+}
+
+div[class^='announcementBar'] a:hover {
+  color: var(--ifm-link-color);
+  text-decoration: underline;
+}
+
+/* Adjust navbar width */
+.navbar .navbar__inner {
+  max-width: 1360px;
+  margin: 0 auto;
+}
+
+/* Header Dropdown Menu */
+.dropdown__link {
+  font-size: inherit;
+}
+
+/* Remove shadow on the left */
+:root {
+  --ifm-global-shadow-md: 0px;
+}
+
+/* Adjust main wrapper width */
+@media (min-width: 1416px) {
+  .main-wrapper {
+    max-width: 1400px;
+    width: 1400px;
+    align-self: center;
+  }
+}
+
+/* Footer */
+.footer {
+  .container {
+    max-width: 900px;
+  }
+}
+#__docusaurus > footer > div > div.text--center > div > a {
+  color: unset;
+}
+
+#__docusaurus > footer > div > div.text--center > div > a:hover {
+  color: var(--ifm-link-color);
+  text-decoration: underline;
+}
diff --git a/docs/src/pages/docs/self-hosting/self-hosting-with-docker.js b/docs/src/pages/docs/self-hosting/self-hosting-with-docker.js
new file mode 100644
index 000000000..11a9e080b
--- /dev/null
+++ b/docs/src/pages/docs/self-hosting/self-hosting-with-docker.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/self-hosting/docker" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/creating-a-blog-from-your-notes-with-listed-and-standard-notes.js b/docs/src/pages/listed/creating-a-blog-from-your-notes-with-listed-and-standard-notes.js
new file mode 100644
index 000000000..632d58ea0
--- /dev/null
+++ b/docs/src/pages/listed/creating-a-blog-from-your-notes-with-listed-and-standard-notes.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/about" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-add-separate-pages-to-my-blog.js b/docs/src/pages/listed/how-do-i-add-separate-pages-to-my-blog.js
new file mode 100644
index 000000000..4df511054
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-add-separate-pages-to-my-blog.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/options/#separate-pages" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-change-the-colors-fonts-and-general-layout-of-my-listed-blog.js b/docs/src/pages/listed/how-do-i-change-the-colors-fonts-and-general-layout-of-my-listed-blog.js
new file mode 100644
index 000000000..c33d800f4
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-change-the-colors-fonts-and-general-layout-of-my-listed-blog.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/styles" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-email-my-subscribers-about-new-articles-and-updates.js b/docs/src/pages/listed/how-do-i-email-my-subscribers-about-new-articles-and-updates.js
new file mode 100644
index 000000000..1d6d42696
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-email-my-subscribers-about-new-articles-and-updates.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/subscribers" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-hide-a-story-from-my-main-feed.js b/docs/src/pages/listed/how-do-i-hide-a-story-from-my-main-feed.js
new file mode 100644
index 000000000..118dff3e4
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-hide-a-story-from-my-main-feed.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/options/#hide-post" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-manage-my-blog-settings-like-username-and-custom-domain.js b/docs/src/pages/listed/how-do-i-manage-my-blog-settings-like-username-and-custom-domain.js
new file mode 100644
index 000000000..e5987a915
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-manage-my-blog-settings-like-username-and-custom-domain.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/settings" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-publish-articles-to-listed.js b/docs/src/pages/listed/how-do-i-publish-articles-to-listed.js
new file mode 100644
index 000000000..75e816b87
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-publish-articles-to-listed.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/publishing" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-register-for-a-listed-blog.js b/docs/src/pages/listed/how-do-i-register-for-a-listed-blog.js
new file mode 100644
index 000000000..778b28025
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-register-for-a-listed-blog.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/register" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/how-do-i-specify-a-custom-date-for-a-post-or-set-the-canonical-url.js b/docs/src/pages/listed/how-do-i-specify-a-custom-date-for-a-post-or-set-the-canonical-url.js
new file mode 100644
index 000000000..7239bc3bd
--- /dev/null
+++ b/docs/src/pages/listed/how-do-i-specify-a-custom-date-for-a-post-or-set-the-canonical-url.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/options/#custom-dates" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/index.js b/docs/src/pages/listed/index.js
new file mode 100644
index 000000000..632d58ea0
--- /dev/null
+++ b/docs/src/pages/listed/index.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/about" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/listed/what-is-my-listed-guestbook.js b/docs/src/pages/listed/what-is-my-listed-guestbook.js
new file mode 100644
index 000000000..f66534843
--- /dev/null
+++ b/docs/src/pages/listed/what-is-my-listed-guestbook.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/listed/guestbook" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/self-hosting/self-hosting-with-docker.js b/docs/src/pages/self-hosting/self-hosting-with-docker.js
new file mode 100644
index 000000000..11a9e080b
--- /dev/null
+++ b/docs/src/pages/self-hosting/self-hosting-with-docker.js
@@ -0,0 +1,10 @@
+import React from 'react';
+import Layout from '@theme/Layout';
+
+import { Redirect } from '@docusaurus/router';
+
+function Hello() {
+  return <Redirect to="/self-hosting/docker" />;
+}
+
+export default Hello;
diff --git a/docs/src/pages/styles.module.css b/docs/src/pages/styles.module.css
new file mode 100644
index 000000000..caeec63c5
--- /dev/null
+++ b/docs/src/pages/styles.module.css
@@ -0,0 +1,35 @@
+/**
+ * CSS files with the .module.css suffix will be treated as CSS modules
+ * and scoped locally.
+ */
+
+.heroBanner {
+  padding: 4rem 0;
+  text-align: center;
+  position: relative;
+  overflow: hidden;
+}
+
+@media screen and (max-width: 966px) {
+  .heroBanner {
+    padding: 2rem;
+  }
+}
+
+.buttons {
+  display: flex;
+  align-items: center;
+  justify-content: center;
+}
+
+.features {
+  display: flex;
+  align-items: center;
+  padding: 2rem 0;
+  width: 100%;
+}
+
+.featureImage {
+  height: 200px;
+  width: 200px;
+}
diff --git a/docs/static/.nojekyll b/docs/static/.nojekyll
new file mode 100644
index 000000000..e69de29bb
diff --git a/docs/static/CNAME b/docs/static/CNAME
new file mode 100644
index 000000000..d13d1aaf6
--- /dev/null
+++ b/docs/static/CNAME
@@ -0,0 +1 @@
+docs.standardnotes.com
\ No newline at end of file
diff --git a/docs/static/img/SN-Icon-500.png b/docs/static/img/SN-Icon-500.png
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diff --git a/docs/static/katex/v0.11.1/README.md b/docs/static/katex/v0.11.1/README.md
new file mode 100644
index 000000000..5868416ed
--- /dev/null
+++ b/docs/static/katex/v0.11.1/README.md
@@ -0,0 +1,91 @@
+# [<img src="https://katex.org/img/katex-logo-black.svg" width="130" alt="KaTeX">](https://katex.org/)
+[![npm](https://img.shields.io/npm/v/katex.svg)](https://www.npmjs.com/package/katex)
+[![CircleCI](https://circleci.com/gh/KaTeX/KaTeX.svg?style=shield)](https://circleci.com/gh/KaTeX/KaTeX)
+[![codecov](https://codecov.io/gh/KaTeX/KaTeX/branch/master/graph/badge.svg)](https://codecov.io/gh/KaTeX/KaTeX)
+[![Join the chat at https://gitter.im/KaTeX/KaTeX](https://badges.gitter.im/Join%20Chat.svg)](https://gitter.im/KaTeX/KaTeX?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge)
+[![Dependabot Status](https://api.dependabot.com/badges/status?host=github&repo=KaTeX/KaTeX)](https://dependabot.com)
+[![jsDelivr](https://data.jsdelivr.com/v1/package/npm/katex/badge?style=rounded)](https://www.jsdelivr.com/package/npm/katex)
+![](https://img.badgesize.io/KaTeX/KaTeX/v0.11.1/dist/katex.min.js?compression=gzip)
+
+KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web.
+
+ * **Fast:** KaTeX renders its math synchronously and doesn't need to reflow the page. See how it compares to a competitor in [this speed test](http://www.intmath.com/cg5/katex-mathjax-comparison.php).
+ * **Print quality:** KaTeX's layout is based on Donald Knuth's TeX, the gold standard for math typesetting.
+ * **Self contained:** KaTeX has no dependencies and can easily be bundled with your website resources.
+ * **Server side rendering:** KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.
+
+KaTeX is compatible with all major browsers, including Chrome, Safari, Firefox, Opera, Edge, and IE 9–11.
+
+KaTeX supports much (but not all) of LaTeX and many LaTeX packages. See the [list of supported functions](https://katex.org/docs/supported.html).
+
+Try out KaTeX [on the demo page](https://katex.org/#demo)!
+
+## Getting started
+
+### Starter template
+
+```html
+<!DOCTYPE html>
+<!-- KaTeX requires the use of the HTML5 doctype. Without it, KaTeX may not render properly -->
+<html>
+  <head>
+    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/katex.min.css" integrity="sha384-zB1R0rpPzHqg7Kpt0Aljp8JPLqbXI3bhnPWROx27a9N0Ll6ZP/+DiW/UqRcLbRjq" crossorigin="anonymous">
+
+    <!-- The loading of KaTeX is deferred to speed up page rendering -->
+    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/katex.min.js" integrity="sha384-y23I5Q6l+B6vatafAwxRu/0oK/79VlbSz7Q9aiSZUvyWYIYsd+qj+o24G5ZU2zJz" crossorigin="anonymous"></script>
+
+    <!-- To automatically render math in text elements, include the auto-render extension: -->
+    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/contrib/auto-render.min.js" integrity="sha384-kWPLUVMOks5AQFrykwIup5lo0m3iMkkHrD0uJ4H5cjeGihAutqP0yW0J6dpFiVkI" crossorigin="anonymous"
+        onload="renderMathInElement(document.body);"></script>
+  </head>
+  ...
+</html>
+```
+
+You can also [download KaTeX](https://github.com/KaTeX/KaTeX/releases) and host it yourself.
+
+For details on how to configure auto-render extension, refer to [the documentation](https://katex.org/docs/autorender.html).
+
+### API
+
+Call `katex.render` to render a TeX expression directly into a DOM element.
+For example:
+
+```js
+katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, {
+    throwOnError: false
+});
+```
+
+Call `katex.renderToString` to generate an HTML string of the rendered math,
+e.g., for server-side rendering.  For example:
+
+```js
+var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}", {
+    throwOnError: false
+});
+// '<span class="katex">...</span>'
+```
+
+Make sure to include the CSS and font files in both cases.
+If you are doing all rendering on the server, there is no need to include the
+JavaScript on the client.
+
+The examples above use the `throwOnError: false` option, which renders invalid
+inputs as the TeX source code in red (by default), with the error message as
+hover text.  For other available options, see the
+[API documentation](https://katex.org/docs/api.html),
+[options documentation](https://katex.org/docs/options.html), and
+[handling errors documentation](https://katex.org/docs/error.html).
+
+## Demo and Documentation
+
+Learn more about using KaTeX [on the website](https://katex.org)!
+
+## Contributing
+
+See [CONTRIBUTING.md](CONTRIBUTING.md)
+
+## License
+
+KaTeX is licensed under the [MIT License](http://opensource.org/licenses/MIT).
diff --git a/docs/static/katex/v0.11.1/contrib/auto-render.js b/docs/static/katex/v0.11.1/contrib/auto-render.js
new file mode 100644
index 000000000..d31cc7cfb
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/auto-render.js
@@ -0,0 +1,339 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else if(typeof exports === 'object')
+		exports["renderMathInElement"] = factory(require("katex"));
+	else
+		root["renderMathInElement"] = factory(root["katex"]);
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+
+// EXTERNAL MODULE: external "katex"
+var external_katex_ = __webpack_require__(0);
+var external_katex_default = /*#__PURE__*/__webpack_require__.n(external_katex_);
+
+// CONCATENATED MODULE: ./contrib/auto-render/splitAtDelimiters.js
+/* eslint no-constant-condition:0 */
+var findEndOfMath = function findEndOfMath(delimiter, text, startIndex) {
+  // Adapted from
+  // https://github.com/Khan/perseus/blob/master/src/perseus-markdown.jsx
+  var index = startIndex;
+  var braceLevel = 0;
+  var delimLength = delimiter.length;
+
+  while (index < text.length) {
+    var character = text[index];
+
+    if (braceLevel <= 0 && text.slice(index, index + delimLength) === delimiter) {
+      return index;
+    } else if (character === "\\") {
+      index++;
+    } else if (character === "{") {
+      braceLevel++;
+    } else if (character === "}") {
+      braceLevel--;
+    }
+
+    index++;
+  }
+
+  return -1;
+};
+
+var splitAtDelimiters = function splitAtDelimiters(startData, leftDelim, rightDelim, display) {
+  var finalData = [];
+
+  for (var i = 0; i < startData.length; i++) {
+    if (startData[i].type === "text") {
+      var text = startData[i].data;
+      var lookingForLeft = true;
+      var currIndex = 0;
+      var nextIndex = void 0;
+      nextIndex = text.indexOf(leftDelim);
+
+      if (nextIndex !== -1) {
+        currIndex = nextIndex;
+        finalData.push({
+          type: "text",
+          data: text.slice(0, currIndex)
+        });
+        lookingForLeft = false;
+      }
+
+      while (true) {
+        if (lookingForLeft) {
+          nextIndex = text.indexOf(leftDelim, currIndex);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "text",
+            data: text.slice(currIndex, nextIndex)
+          });
+          currIndex = nextIndex;
+        } else {
+          nextIndex = findEndOfMath(rightDelim, text, currIndex + leftDelim.length);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "math",
+            data: text.slice(currIndex + leftDelim.length, nextIndex),
+            rawData: text.slice(currIndex, nextIndex + rightDelim.length),
+            display: display
+          });
+          currIndex = nextIndex + rightDelim.length;
+        }
+
+        lookingForLeft = !lookingForLeft;
+      }
+
+      finalData.push({
+        type: "text",
+        data: text.slice(currIndex)
+      });
+    } else {
+      finalData.push(startData[i]);
+    }
+  }
+
+  return finalData;
+};
+
+/* harmony default export */ var auto_render_splitAtDelimiters = (splitAtDelimiters);
+// CONCATENATED MODULE: ./contrib/auto-render/auto-render.js
+/* eslint no-console:0 */
+
+
+
+var auto_render_splitWithDelimiters = function splitWithDelimiters(text, delimiters) {
+  var data = [{
+    type: "text",
+    data: text
+  }];
+
+  for (var i = 0; i < delimiters.length; i++) {
+    var delimiter = delimiters[i];
+    data = auto_render_splitAtDelimiters(data, delimiter.left, delimiter.right, delimiter.display || false);
+  }
+
+  return data;
+};
+/* Note: optionsCopy is mutated by this method. If it is ever exposed in the
+ * API, we should copy it before mutating.
+ */
+
+
+var auto_render_renderMathInText = function renderMathInText(text, optionsCopy) {
+  var data = auto_render_splitWithDelimiters(text, optionsCopy.delimiters);
+  var fragment = document.createDocumentFragment();
+
+  for (var i = 0; i < data.length; i++) {
+    if (data[i].type === "text") {
+      fragment.appendChild(document.createTextNode(data[i].data));
+    } else {
+      var span = document.createElement("span");
+      var math = data[i].data; // Override any display mode defined in the settings with that
+      // defined by the text itself
+
+      optionsCopy.displayMode = data[i].display;
+
+      try {
+        if (optionsCopy.preProcess) {
+          math = optionsCopy.preProcess(math);
+        }
+
+        external_katex_default.a.render(math, span, optionsCopy);
+      } catch (e) {
+        if (!(e instanceof external_katex_default.a.ParseError)) {
+          throw e;
+        }
+
+        optionsCopy.errorCallback("KaTeX auto-render: Failed to parse `" + data[i].data + "` with ", e);
+        fragment.appendChild(document.createTextNode(data[i].rawData));
+        continue;
+      }
+
+      fragment.appendChild(span);
+    }
+  }
+
+  return fragment;
+};
+
+var renderElem = function renderElem(elem, optionsCopy) {
+  for (var i = 0; i < elem.childNodes.length; i++) {
+    var childNode = elem.childNodes[i];
+
+    if (childNode.nodeType === 3) {
+      // Text node
+      var frag = auto_render_renderMathInText(childNode.textContent, optionsCopy);
+      i += frag.childNodes.length - 1;
+      elem.replaceChild(frag, childNode);
+    } else if (childNode.nodeType === 1) {
+      (function () {
+        // Element node
+        var className = ' ' + childNode.className + ' ';
+        var shouldRender = optionsCopy.ignoredTags.indexOf(childNode.nodeName.toLowerCase()) === -1 && optionsCopy.ignoredClasses.every(function (x) {
+          return className.indexOf(' ' + x + ' ') === -1;
+        });
+
+        if (shouldRender) {
+          renderElem(childNode, optionsCopy);
+        }
+      })();
+    } // Otherwise, it's something else, and ignore it.
+
+  }
+};
+
+var renderMathInElement = function renderMathInElement(elem, options) {
+  if (!elem) {
+    throw new Error("No element provided to render");
+  }
+
+  var optionsCopy = {}; // Object.assign(optionsCopy, option)
+
+  for (var option in options) {
+    if (options.hasOwnProperty(option)) {
+      optionsCopy[option] = options[option];
+    }
+  } // default options
+
+
+  optionsCopy.delimiters = optionsCopy.delimiters || [{
+    left: "$$",
+    right: "$$",
+    display: true
+  }, {
+    left: "\\(",
+    right: "\\)",
+    display: false
+  }, // LaTeX uses $…$, but it ruins the display of normal `$` in text:
+  // {left: "$", right: "$", display: false},
+  //  \[…\] must come last in this array. Otherwise, renderMathInElement
+  //  will search for \[ before it searches for $$ or  \(
+  // That makes it susceptible to finding a \\[0.3em] row delimiter and
+  // treating it as if it were the start of a KaTeX math zone.
+  {
+    left: "\\[",
+    right: "\\]",
+    display: true
+  }];
+  optionsCopy.ignoredTags = optionsCopy.ignoredTags || ["script", "noscript", "style", "textarea", "pre", "code"];
+  optionsCopy.ignoredClasses = optionsCopy.ignoredClasses || [];
+  optionsCopy.errorCallback = optionsCopy.errorCallback || console.error; // Enable sharing of global macros defined via `\gdef` between different
+  // math elements within a single call to `renderMathInElement`.
+
+  optionsCopy.macros = optionsCopy.macros || {};
+  renderElem(elem, optionsCopy);
+};
+
+/* harmony default export */ var auto_render = __webpack_exports__["default"] = (renderMathInElement);
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/auto-render.min.js b/docs/static/katex/v0.11.1/contrib/auto-render.min.js
new file mode 100644
index 000000000..3a6d66390
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/auto-render.min.js
@@ -0,0 +1 @@
+!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t(require("katex")):"function"==typeof define&&define.amd?define(["katex"],t):"object"==typeof exports?exports.renderMathInElement=t(require("katex")):e.renderMathInElement=t(e.katex)}("undefined"!=typeof self?self:this,function(e){return function(e){var t={};function r(n){if(t[n])return t[n].exports;var o=t[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,r),o.l=!0,o.exports}return r.m=e,r.c=t,r.d=function(e,t,n){r.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:n})},r.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)r.d(n,o,function(t){return e[t]}.bind(null,o));return n},r.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return r.d(t,"a",t),t},r.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},r.p="",r(r.s=1)}([function(t,r){t.exports=e},function(e,t,r){"use strict";r.r(t);var n=r(0),o=r.n(n),a=function(e,t,r){for(var n=r,o=0,a=e.length;n<t.length;){var i=t[n];if(o<=0&&t.slice(n,n+a)===e)return n;"\\"===i?n++:"{"===i?o++:"}"===i&&o--,n++}return-1},i=function(e,t,r,n){for(var o=[],i=0;i<e.length;i++)if("text"===e[i].type){var l=e[i].data,d=!0,s=0,f=void 0;for(-1!==(f=l.indexOf(t))&&(s=f,o.push({type:"text",data:l.slice(0,s)}),d=!1);;){if(d){if(-1===(f=l.indexOf(t,s)))break;o.push({type:"text",data:l.slice(s,f)}),s=f}else{if(-1===(f=a(r,l,s+t.length)))break;o.push({type:"math",data:l.slice(s+t.length,f),rawData:l.slice(s,f+r.length),display:n}),s=f+r.length}d=!d}o.push({type:"text",data:l.slice(s)})}else o.push(e[i]);return o},l=function(e,t){for(var r=function(e,t){for(var r=[{type:"text",data:e}],n=0;n<t.length;n++){var o=t[n];r=i(r,o.left,o.right,o.display||!1)}return r}(e,t.delimiters),n=document.createDocumentFragment(),a=0;a<r.length;a++)if("text"===r[a].type)n.appendChild(document.createTextNode(r[a].data));else{var l=document.createElement("span"),d=r[a].data;t.displayMode=r[a].display;try{t.preProcess&&(d=t.preProcess(d)),o.a.render(d,l,t)}catch(e){if(!(e instanceof o.a.ParseError))throw e;t.errorCallback("KaTeX auto-render: Failed to parse `"+r[a].data+"` with ",e),n.appendChild(document.createTextNode(r[a].rawData));continue}n.appendChild(l)}return n};t.default=function(e,t){if(!e)throw new Error("No element provided to render");var r={};for(var n in t)t.hasOwnProperty(n)&&(r[n]=t[n]);r.delimiters=r.delimiters||[{left:"$$",right:"$$",display:!0},{left:"\\(",right:"\\)",display:!1},{left:"\\[",right:"\\]",display:!0}],r.ignoredTags=r.ignoredTags||["script","noscript","style","textarea","pre","code"],r.ignoredClasses=r.ignoredClasses||[],r.errorCallback=r.errorCallback||console.error,r.macros=r.macros||{},function e(t,r){for(var n=0;n<t.childNodes.length;n++){var o=t.childNodes[n];if(3===o.nodeType){var a=l(o.textContent,r);n+=a.childNodes.length-1,t.replaceChild(a,o)}else 1===o.nodeType&&function(){var t=" "+o.className+" ";-1===r.ignoredTags.indexOf(o.nodeName.toLowerCase())&&r.ignoredClasses.every(function(e){return-1===t.indexOf(" "+e+" ")})&&e(o,r)}()}}(e,r)}}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/auto-render.mjs b/docs/static/katex/v0.11.1/contrib/auto-render.mjs
new file mode 100644
index 000000000..58de8b67b
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/auto-render.mjs
@@ -0,0 +1,215 @@
+import katex from '../katex.mjs';
+
+/* eslint no-constant-condition:0 */
+const findEndOfMath = function findEndOfMath(delimiter, text, startIndex) {
+  // Adapted from
+  // https://github.com/Khan/perseus/blob/master/src/perseus-markdown.jsx
+  let index = startIndex;
+  let braceLevel = 0;
+  const delimLength = delimiter.length;
+
+  while (index < text.length) {
+    const character = text[index];
+
+    if (braceLevel <= 0 && text.slice(index, index + delimLength) === delimiter) {
+      return index;
+    } else if (character === "\\") {
+      index++;
+    } else if (character === "{") {
+      braceLevel++;
+    } else if (character === "}") {
+      braceLevel--;
+    }
+
+    index++;
+  }
+
+  return -1;
+};
+
+const splitAtDelimiters = function splitAtDelimiters(startData, leftDelim, rightDelim, display) {
+  const finalData = [];
+
+  for (let i = 0; i < startData.length; i++) {
+    if (startData[i].type === "text") {
+      const text = startData[i].data;
+      let lookingForLeft = true;
+      let currIndex = 0;
+      let nextIndex;
+      nextIndex = text.indexOf(leftDelim);
+
+      if (nextIndex !== -1) {
+        currIndex = nextIndex;
+        finalData.push({
+          type: "text",
+          data: text.slice(0, currIndex)
+        });
+        lookingForLeft = false;
+      }
+
+      while (true) {
+        if (lookingForLeft) {
+          nextIndex = text.indexOf(leftDelim, currIndex);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "text",
+            data: text.slice(currIndex, nextIndex)
+          });
+          currIndex = nextIndex;
+        } else {
+          nextIndex = findEndOfMath(rightDelim, text, currIndex + leftDelim.length);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "math",
+            data: text.slice(currIndex + leftDelim.length, nextIndex),
+            rawData: text.slice(currIndex, nextIndex + rightDelim.length),
+            display: display
+          });
+          currIndex = nextIndex + rightDelim.length;
+        }
+
+        lookingForLeft = !lookingForLeft;
+      }
+
+      finalData.push({
+        type: "text",
+        data: text.slice(currIndex)
+      });
+    } else {
+      finalData.push(startData[i]);
+    }
+  }
+
+  return finalData;
+};
+
+/* eslint no-console:0 */
+
+const splitWithDelimiters = function splitWithDelimiters(text, delimiters) {
+  let data = [{
+    type: "text",
+    data: text
+  }];
+
+  for (let i = 0; i < delimiters.length; i++) {
+    const delimiter = delimiters[i];
+    data = splitAtDelimiters(data, delimiter.left, delimiter.right, delimiter.display || false);
+  }
+
+  return data;
+};
+/* Note: optionsCopy is mutated by this method. If it is ever exposed in the
+ * API, we should copy it before mutating.
+ */
+
+
+const renderMathInText = function renderMathInText(text, optionsCopy) {
+  const data = splitWithDelimiters(text, optionsCopy.delimiters);
+  const fragment = document.createDocumentFragment();
+
+  for (let i = 0; i < data.length; i++) {
+    if (data[i].type === "text") {
+      fragment.appendChild(document.createTextNode(data[i].data));
+    } else {
+      const span = document.createElement("span");
+      let math = data[i].data; // Override any display mode defined in the settings with that
+      // defined by the text itself
+
+      optionsCopy.displayMode = data[i].display;
+
+      try {
+        if (optionsCopy.preProcess) {
+          math = optionsCopy.preProcess(math);
+        }
+
+        katex.render(math, span, optionsCopy);
+      } catch (e) {
+        if (!(e instanceof katex.ParseError)) {
+          throw e;
+        }
+
+        optionsCopy.errorCallback("KaTeX auto-render: Failed to parse `" + data[i].data + "` with ", e);
+        fragment.appendChild(document.createTextNode(data[i].rawData));
+        continue;
+      }
+
+      fragment.appendChild(span);
+    }
+  }
+
+  return fragment;
+};
+
+const renderElem = function renderElem(elem, optionsCopy) {
+  for (let i = 0; i < elem.childNodes.length; i++) {
+    const childNode = elem.childNodes[i];
+
+    if (childNode.nodeType === 3) {
+      // Text node
+      const frag = renderMathInText(childNode.textContent, optionsCopy);
+      i += frag.childNodes.length - 1;
+      elem.replaceChild(frag, childNode);
+    } else if (childNode.nodeType === 1) {
+      // Element node
+      const className = ' ' + childNode.className + ' ';
+      const shouldRender = optionsCopy.ignoredTags.indexOf(childNode.nodeName.toLowerCase()) === -1 && optionsCopy.ignoredClasses.every(x => className.indexOf(' ' + x + ' ') === -1);
+
+      if (shouldRender) {
+        renderElem(childNode, optionsCopy);
+      }
+    } // Otherwise, it's something else, and ignore it.
+
+  }
+};
+
+const renderMathInElement = function renderMathInElement(elem, options) {
+  if (!elem) {
+    throw new Error("No element provided to render");
+  }
+
+  const optionsCopy = {}; // Object.assign(optionsCopy, option)
+
+  for (const option in options) {
+    if (options.hasOwnProperty(option)) {
+      optionsCopy[option] = options[option];
+    }
+  } // default options
+
+
+  optionsCopy.delimiters = optionsCopy.delimiters || [{
+    left: "$$",
+    right: "$$",
+    display: true
+  }, {
+    left: "\\(",
+    right: "\\)",
+    display: false
+  }, // LaTeX uses $…$, but it ruins the display of normal `$` in text:
+  // {left: "$", right: "$", display: false},
+  //  \[…\] must come last in this array. Otherwise, renderMathInElement
+  //  will search for \[ before it searches for $$ or  \(
+  // That makes it susceptible to finding a \\[0.3em] row delimiter and
+  // treating it as if it were the start of a KaTeX math zone.
+  {
+    left: "\\[",
+    right: "\\]",
+    display: true
+  }];
+  optionsCopy.ignoredTags = optionsCopy.ignoredTags || ["script", "noscript", "style", "textarea", "pre", "code"];
+  optionsCopy.ignoredClasses = optionsCopy.ignoredClasses || [];
+  optionsCopy.errorCallback = optionsCopy.errorCallback || console.error; // Enable sharing of global macros defined via `\gdef` between different
+  // math elements within a single call to `renderMathInElement`.
+
+  optionsCopy.macros = optionsCopy.macros || {};
+  renderElem(elem, optionsCopy);
+};
+
+export default renderMathInElement;
diff --git a/docs/static/katex/v0.11.1/contrib/copy-tex.css b/docs/static/katex/v0.11.1/contrib/copy-tex.css
new file mode 100644
index 000000000..90801d842
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/copy-tex.css
@@ -0,0 +1,14 @@
+/* Force selection of entire .katex/.katex-display blocks, so that we can
+ * copy/paste the entire source code.  If you omit this CSS, partial
+ * selections of a formula will work, but will copy the ugly HTML
+ * representation instead of the LaTeX source code.  (Full selections will
+ * still produce the LaTeX source code.)
+ */
+.katex,
+.katex-display {
+    user-select: all;
+    -moz-user-select: all;
+    -webkit-user-select: all;
+    -ms-user-select: all;
+}
+
diff --git a/docs/static/katex/v0.11.1/contrib/copy-tex.js b/docs/static/katex/v0.11.1/contrib/copy-tex.js
new file mode 100644
index 000000000..4649f8f7e
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/copy-tex.js
@@ -0,0 +1,213 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory();
+	else if(typeof define === 'function' && define.amd)
+		define([], factory);
+	else {
+		var a = factory();
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function() {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports, __webpack_require__) {
+
+// extracted by mini-css-extract-plugin
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+
+// EXTERNAL MODULE: ./contrib/copy-tex/copy-tex.css
+var copy_tex = __webpack_require__(0);
+
+// CONCATENATED MODULE: ./contrib/copy-tex/katex2tex.js
+// Set these to how you want inline and display math to be delimited.
+var defaultCopyDelimiters = {
+  inline: ['$', '$'],
+  // alternative: ['\(', '\)']
+  display: ['$$', '$$'] // alternative: ['\[', '\]']
+
+}; // Replace .katex elements with their TeX source (<annotation> element).
+// Modifies fragment in-place.  Useful for writing your own 'copy' handler,
+// as in copy-tex.js.
+
+var katexReplaceWithTex = function katexReplaceWithTex(fragment, copyDelimiters) {
+  if (copyDelimiters === void 0) {
+    copyDelimiters = defaultCopyDelimiters;
+  }
+
+  // Remove .katex-html blocks that are preceded by .katex-mathml blocks
+  // (which will get replaced below).
+  var katexHtml = fragment.querySelectorAll('.katex-mathml + .katex-html');
+
+  for (var i = 0; i < katexHtml.length; i++) {
+    var element = katexHtml[i];
+
+    if (element.remove) {
+      element.remove(null);
+    } else {
+      element.parentNode.removeChild(element);
+    }
+  } // Replace .katex-mathml elements with their annotation (TeX source)
+  // descendant, with inline delimiters.
+
+
+  var katexMathml = fragment.querySelectorAll('.katex-mathml');
+
+  for (var _i = 0; _i < katexMathml.length; _i++) {
+    var _element = katexMathml[_i];
+
+    var texSource = _element.querySelector('annotation');
+
+    if (texSource) {
+      if (_element.replaceWith) {
+        _element.replaceWith(texSource);
+      } else {
+        _element.parentNode.replaceChild(texSource, _element);
+      }
+
+      texSource.innerHTML = copyDelimiters.inline[0] + texSource.innerHTML + copyDelimiters.inline[1];
+    }
+  } // Switch display math to display delimiters.
+
+
+  var displays = fragment.querySelectorAll('.katex-display annotation');
+
+  for (var _i2 = 0; _i2 < displays.length; _i2++) {
+    var _element2 = displays[_i2];
+    _element2.innerHTML = copyDelimiters.display[0] + _element2.innerHTML.substr(copyDelimiters.inline[0].length, _element2.innerHTML.length - copyDelimiters.inline[0].length - copyDelimiters.inline[1].length) + copyDelimiters.display[1];
+  }
+
+  return fragment;
+};
+/* harmony default export */ var katex2tex = (katexReplaceWithTex);
+// CONCATENATED MODULE: ./contrib/copy-tex/copy-tex.js
+ // Global copy handler to modify behavior on .katex elements.
+
+document.addEventListener('copy', function (event) {
+  var selection = window.getSelection();
+
+  if (selection.isCollapsed) {
+    return; // default action OK if selection is empty
+  }
+
+  var fragment = selection.getRangeAt(0).cloneContents();
+
+  if (!fragment.querySelector('.katex-mathml')) {
+    return; // default action OK if no .katex-mathml elements
+  } // Preserve usual HTML copy/paste behavior.
+
+
+  var html = [];
+
+  for (var i = 0; i < fragment.childNodes.length; i++) {
+    html.push(fragment.childNodes[i].outerHTML);
+  }
+
+  event.clipboardData.setData('text/html', html.join('')); // Rewrite plain-text version.
+
+  event.clipboardData.setData('text/plain', katex2tex(fragment).textContent); // Prevent normal copy handling.
+
+  event.preventDefault();
+});
+// CONCATENATED MODULE: ./contrib/copy-tex/copy-tex.webpack.js
+/**
+ * This is the webpack entry point for KaTeX. As ECMAScript doesn't support
+ * CSS modules natively, a separate entry point is used.
+ */
+
+
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/copy-tex.min.css b/docs/static/katex/v0.11.1/contrib/copy-tex.min.css
new file mode 100644
index 000000000..555ed1156
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/copy-tex.min.css
@@ -0,0 +1 @@
+.katex,.katex-display{user-select:all;-moz-user-select:all;-webkit-user-select:all;-ms-user-select:all}
diff --git a/docs/static/katex/v0.11.1/contrib/copy-tex.min.js b/docs/static/katex/v0.11.1/contrib/copy-tex.min.js
new file mode 100644
index 000000000..e0354d6b9
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/copy-tex.min.js
@@ -0,0 +1 @@
+!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t();else if("function"==typeof define&&define.amd)define([],t);else{var n=t();for(var r in n)("object"==typeof exports?exports:e)[r]=n[r]}}("undefined"!=typeof self?self:this,function(){return function(e){var t={};function n(r){if(t[r])return t[r].exports;var o=t[r]={i:r,l:!1,exports:{}};return e[r].call(o.exports,o,o.exports,n),o.l=!0,o.exports}return n.m=e,n.c=t,n.d=function(e,t,r){n.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:r})},n.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},n.t=function(e,t){if(1&t&&(e=n(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var r=Object.create(null);if(n.r(r),Object.defineProperty(r,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)n.d(r,o,function(t){return e[t]}.bind(null,o));return r},n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,"a",t),t},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},n.p="",n(n.s=1)}([function(e,t,n){},function(e,t,n){"use strict";n.r(t);n(0);var r={inline:["$","$"],display:["$$","$$"]},o=function(e,t){void 0===t&&(t=r);for(var n=e.querySelectorAll(".katex-mathml + .katex-html"),o=0;o<n.length;o++){var l=n[o];l.remove?l.remove(null):l.parentNode.removeChild(l)}for(var i=e.querySelectorAll(".katex-mathml"),a=0;a<i.length;a++){var u=i[a],f=u.querySelector("annotation");f&&(u.replaceWith?u.replaceWith(f):u.parentNode.replaceChild(f,u),f.innerHTML=t.inline[0]+f.innerHTML+t.inline[1])}for(var c=e.querySelectorAll(".katex-display annotation"),d=0;d<c.length;d++){var p=c[d];p.innerHTML=t.display[0]+p.innerHTML.substr(t.inline[0].length,p.innerHTML.length-t.inline[0].length-t.inline[1].length)+t.display[1]}return e};document.addEventListener("copy",function(e){var t=window.getSelection();if(!t.isCollapsed){var n=t.getRangeAt(0).cloneContents();if(n.querySelector(".katex-mathml")){for(var r=[],l=0;l<n.childNodes.length;l++)r.push(n.childNodes[l].outerHTML);e.clipboardData.setData("text/html",r.join("")),e.clipboardData.setData("text/plain",o(n).textContent),e.preventDefault()}}})}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/copy-tex.mjs b/docs/static/katex/v0.11.1/contrib/copy-tex.mjs
new file mode 100644
index 000000000..b6ed1eef0
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/copy-tex.mjs
@@ -0,0 +1,85 @@
+// Set these to how you want inline and display math to be delimited.
+const defaultCopyDelimiters = {
+  inline: ['$', '$'],
+  // alternative: ['\(', '\)']
+  display: ['$$', '$$'] // alternative: ['\[', '\]']
+
+}; // Replace .katex elements with their TeX source (<annotation> element).
+// Modifies fragment in-place.  Useful for writing your own 'copy' handler,
+// as in copy-tex.js.
+
+const katexReplaceWithTex = function katexReplaceWithTex(fragment, copyDelimiters) {
+  if (copyDelimiters === void 0) {
+    copyDelimiters = defaultCopyDelimiters;
+  }
+
+  // Remove .katex-html blocks that are preceded by .katex-mathml blocks
+  // (which will get replaced below).
+  const katexHtml = fragment.querySelectorAll('.katex-mathml + .katex-html');
+
+  for (let i = 0; i < katexHtml.length; i++) {
+    const element = katexHtml[i];
+
+    if (element.remove) {
+      element.remove(null);
+    } else {
+      element.parentNode.removeChild(element);
+    }
+  } // Replace .katex-mathml elements with their annotation (TeX source)
+  // descendant, with inline delimiters.
+
+
+  const katexMathml = fragment.querySelectorAll('.katex-mathml');
+
+  for (let i = 0; i < katexMathml.length; i++) {
+    const element = katexMathml[i];
+    const texSource = element.querySelector('annotation');
+
+    if (texSource) {
+      if (element.replaceWith) {
+        element.replaceWith(texSource);
+      } else {
+        element.parentNode.replaceChild(texSource, element);
+      }
+
+      texSource.innerHTML = copyDelimiters.inline[0] + texSource.innerHTML + copyDelimiters.inline[1];
+    }
+  } // Switch display math to display delimiters.
+
+
+  const displays = fragment.querySelectorAll('.katex-display annotation');
+
+  for (let i = 0; i < displays.length; i++) {
+    const element = displays[i];
+    element.innerHTML = copyDelimiters.display[0] + element.innerHTML.substr(copyDelimiters.inline[0].length, element.innerHTML.length - copyDelimiters.inline[0].length - copyDelimiters.inline[1].length) + copyDelimiters.display[1];
+  }
+
+  return fragment;
+};
+
+document.addEventListener('copy', function (event) {
+  const selection = window.getSelection();
+
+  if (selection.isCollapsed) {
+    return; // default action OK if selection is empty
+  }
+
+  const fragment = selection.getRangeAt(0).cloneContents();
+
+  if (!fragment.querySelector('.katex-mathml')) {
+    return; // default action OK if no .katex-mathml elements
+  } // Preserve usual HTML copy/paste behavior.
+
+
+  const html = [];
+
+  for (let i = 0; i < fragment.childNodes.length; i++) {
+    html.push(fragment.childNodes[i].outerHTML);
+  }
+
+  event.clipboardData.setData('text/html', html.join('')); // Rewrite plain-text version.
+
+  event.clipboardData.setData('text/plain', katexReplaceWithTex(fragment).textContent); // Prevent normal copy handling.
+
+  event.preventDefault();
+});
diff --git a/docs/static/katex/v0.11.1/contrib/mathtex-script-type.js b/docs/static/katex/v0.11.1/contrib/mathtex-script-type.js
new file mode 100644
index 000000000..daa01a633
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/mathtex-script-type.js
@@ -0,0 +1,137 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else {
+		var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]);
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
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+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(0);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__);
+
+var scripts = document.body.getElementsByTagName("script");
+scripts = Array.prototype.slice.call(scripts);
+scripts.forEach(function (script) {
+  if (!script.type || !script.type.match(/math\/tex/i)) {
+    return -1;
+  }
+
+  var display = script.type.match(/mode\s*=\s*display(;|\s|\n|$)/) != null;
+  var katexElement = document.createElement(display ? "div" : "span");
+  katexElement.setAttribute("class", display ? "equation" : "inline-equation");
+
+  try {
+    katex__WEBPACK_IMPORTED_MODULE_0___default.a.render(script.text, katexElement, {
+      displayMode: display
+    });
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+    //console.error(err); linter doesn't like this
+    katexElement.textContent = script.text;
+  }
+
+  script.parentNode.replaceChild(katexElement, script);
+});
+
+/***/ })
+/******/ ])["default"];
+});
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diff --git a/docs/static/katex/v0.11.1/contrib/mathtex-script-type.min.js b/docs/static/katex/v0.11.1/contrib/mathtex-script-type.min.js
new file mode 100644
index 000000000..ae9f52869
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/mathtex-script-type.min.js
@@ -0,0 +1 @@
+!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],t);else{var r="object"==typeof exports?t(require("katex")):t(e.katex);for(var n in r)("object"==typeof exports?exports:e)[n]=r[n]}}("undefined"!=typeof self?self:this,function(e){return function(e){var t={};function r(n){if(t[n])return t[n].exports;var o=t[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,r),o.l=!0,o.exports}return r.m=e,r.c=t,r.d=function(e,t,n){r.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:n})},r.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)r.d(n,o,function(t){return e[t]}.bind(null,o));return n},r.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return r.d(t,"a",t),t},r.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},r.p="",r(r.s=1)}([function(t,r){t.exports=e},function(e,t,r){"use strict";r.r(t);var n=r(0),o=r.n(n),u=document.body.getElementsByTagName("script");(u=Array.prototype.slice.call(u)).forEach(function(e){if(!e.type||!e.type.match(/math\/tex/i))return-1;var t=null!=e.type.match(/mode\s*=\s*display(;|\s|\n|$)/),r=document.createElement(t?"div":"span");r.setAttribute("class",t?"equation":"inline-equation");try{o.a.render(e.text,r,{displayMode:t})}catch(t){r.textContent=e.text}e.parentNode.replaceChild(r,e)})}]).default});
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diff --git a/docs/static/katex/v0.11.1/contrib/mathtex-script-type.mjs b/docs/static/katex/v0.11.1/contrib/mathtex-script-type.mjs
new file mode 100644
index 000000000..7cfb90e98
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/mathtex-script-type.mjs
@@ -0,0 +1,24 @@
+import katex from '../katex.mjs';
+
+let scripts = document.body.getElementsByTagName("script");
+scripts = Array.prototype.slice.call(scripts);
+scripts.forEach(function (script) {
+  if (!script.type || !script.type.match(/math\/tex/i)) {
+    return -1;
+  }
+
+  const display = script.type.match(/mode\s*=\s*display(;|\s|\n|$)/) != null;
+  const katexElement = document.createElement(display ? "div" : "span");
+  katexElement.setAttribute("class", display ? "equation" : "inline-equation");
+
+  try {
+    katex.render(script.text, katexElement, {
+      displayMode: display
+    });
+  } catch (err) {
+    //console.error(err); linter doesn't like this
+    katexElement.textContent = script.text;
+  }
+
+  script.parentNode.replaceChild(katexElement, script);
+});
diff --git a/docs/static/katex/v0.11.1/contrib/mhchem.js b/docs/static/katex/v0.11.1/contrib/mhchem.js
new file mode 100644
index 000000000..f84566ef4
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/mhchem.js
@@ -0,0 +1,3241 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else {
+		var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]);
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
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+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
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+/******/ 		module.l = true;
+/******/
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+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(0);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__);
+/* eslint-disable */
+
+/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
+
+/* vim: set ts=2 et sw=2 tw=80: */
+
+/*************************************************************
+ *
+ *  KaTeX mhchem.js
+ *
+ *  This file implements a KaTeX version of mhchem version 3.3.0.
+ *  It is adapted from MathJax/extensions/TeX/mhchem.js
+ *  It differs from the MathJax version as follows:
+ *    1. The interface is changed so that it can be called from KaTeX, not MathJax.
+ *    2. \rlap and \llap are replaced with \mathrlap and \mathllap.
+ *    3. Four lines of code are edited in order to use \raisebox instead of \raise.
+ *    4. The reaction arrow code is simplified. All reaction arrows are rendered
+ *       using KaTeX extensible arrows instead of building non-extensible arrows.
+ *    5. \tripledash vertical alignment is slightly adjusted.
+ *
+ *    This code, as other KaTeX code, is released under the MIT license.
+ * 
+ * /*************************************************************
+ *
+ *  MathJax/extensions/TeX/mhchem.js
+ *
+ *  Implements the \ce command for handling chemical formulas
+ *  from the mhchem LaTeX package.
+ *
+ *  ---------------------------------------------------------------------
+ *
+ *  Copyright (c) 2011-2015 The MathJax Consortium
+ *  Copyright (c) 2015-2018 Martin Hensel
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+//
+// Coding Style
+//   - use '' for identifiers that can by minified/uglified
+//   - use "" for strings that need to stay untouched
+// version: "3.3.0" for MathJax and KaTeX
+// Add \ce, \pu, and \tripledash to the KaTeX macros.
+katex__WEBPACK_IMPORTED_MODULE_0___default.a.__defineMacro("\\ce", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "ce");
+});
+
+katex__WEBPACK_IMPORTED_MODULE_0___default.a.__defineMacro("\\pu", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "pu");
+}); //  Needed for \bond for the ~ forms
+//  Raise by 2.56mu, not 2mu. We're raising a hyphen-minus, U+002D, not 
+//  a mathematical minus, U+2212. So we need that extra 0.56.
+
+
+katex__WEBPACK_IMPORTED_MODULE_0___default.a.__defineMacro("\\tripledash", "{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu" + "\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}");
+
+ //
+//  This is the main function for handing the \ce and \pu commands.
+//  It takes the argument to \ce or \pu and returns the corresponding TeX string.
+//
+
+var chemParse = function chemParse(tokens, stateMachine) {
+  // Recreate the argument string from KaTeX's array of tokens.
+  var str = "";
+  var expectedLoc = tokens[tokens.length - 1].loc.start;
+
+  for (var i = tokens.length - 1; i >= 0; i--) {
+    if (tokens[i].loc.start > expectedLoc) {
+      // context.consumeArgs has eaten a space.
+      str += " ";
+      expectedLoc = tokens[i].loc.start;
+    }
+
+    str += tokens[i].text;
+    expectedLoc += tokens[i].text.length;
+  }
+
+  var tex = texify.go(mhchemParser.go(str, stateMachine));
+  return tex;
+}; //
+// Core parser for mhchem syntax  (recursive)
+//
+
+/** @type {MhchemParser} */
+
+
+var mhchemParser = {
+  //
+  // Parses mchem \ce syntax
+  //
+  // Call like
+  //   go("H2O");
+  //
+  go: function go(input, stateMachine) {
+    if (!input) {
+      return [];
+    }
+
+    if (stateMachine === undefined) {
+      stateMachine = 'ce';
+    }
+
+    var state = '0'; //
+    // String buffers for parsing:
+    //
+    // buffer.a == amount
+    // buffer.o == element
+    // buffer.b == left-side superscript
+    // buffer.p == left-side subscript
+    // buffer.q == right-side subscript
+    // buffer.d == right-side superscript
+    //
+    // buffer.r == arrow
+    // buffer.rdt == arrow, script above, type
+    // buffer.rd == arrow, script above, content
+    // buffer.rqt == arrow, script below, type
+    // buffer.rq == arrow, script below, content
+    //
+    // buffer.text_
+    // buffer.rm
+    // etc.
+    //
+    // buffer.parenthesisLevel == int, starting at 0
+    // buffer.sb == bool, space before
+    // buffer.beginsWithBond == bool
+    //
+    // These letters are also used as state names.
+    //
+    // Other states:
+    // 0 == begin of main part (arrow/operator unlikely)
+    // 1 == next entity
+    // 2 == next entity (arrow/operator unlikely)
+    // 3 == next atom
+    // c == macro
+    //
+
+    /** @type {Buffer} */
+
+    var buffer = {};
+    buffer['parenthesisLevel'] = 0;
+    input = input.replace(/\n/g, " ");
+    input = input.replace(/[\u2212\u2013\u2014\u2010]/g, "-");
+    input = input.replace(/[\u2026]/g, "..."); //
+    // Looks through mhchemParser.transitions, to execute a matching action
+    // (recursive)
+    //
+
+    var lastInput;
+    var watchdog = 10;
+    /** @type {ParserOutput[]} */
+
+    var output = [];
+
+    while (true) {
+      if (lastInput !== input) {
+        watchdog = 10;
+        lastInput = input;
+      } else {
+        watchdog--;
+      } //
+      // Find actions in transition table
+      //
+
+
+      var machine = mhchemParser.stateMachines[stateMachine];
+      var t = machine.transitions[state] || machine.transitions['*'];
+
+      iterateTransitions: for (var i = 0; i < t.length; i++) {
+        var matches = mhchemParser.patterns.match_(t[i].pattern, input);
+
+        if (matches) {
+          //
+          // Execute actions
+          //
+          var task = t[i].task;
+
+          for (var iA = 0; iA < task.action_.length; iA++) {
+            var o; //
+            // Find and execute action
+            //
+
+            if (machine.actions[task.action_[iA].type_]) {
+              o = machine.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else if (mhchemParser.actions[task.action_[iA].type_]) {
+              o = mhchemParser.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else {
+              throw ["MhchemBugA", "mhchem bug A. Please report. (" + task.action_[iA].type_ + ")"]; // Trying to use non-existing action
+            } //
+            // Add output
+            //
+
+
+            mhchemParser.concatArray(output, o);
+          } //
+          // Set next state,
+          // Shorten input,
+          // Continue with next character
+          //   (= apply only one transition per position)
+          //
+
+
+          state = task.nextState || state;
+
+          if (input.length > 0) {
+            if (!task.revisit) {
+              input = matches.remainder;
+            }
+
+            if (!task.toContinue) {
+              break iterateTransitions;
+            }
+          } else {
+            return output;
+          }
+        }
+      } //
+      // Prevent infinite loop
+      //
+
+
+      if (watchdog <= 0) {
+        throw ["MhchemBugU", "mhchem bug U. Please report."]; // Unexpected character
+      }
+    }
+  },
+  concatArray: function concatArray(a, b) {
+    if (b) {
+      if (Array.isArray(b)) {
+        for (var iB = 0; iB < b.length; iB++) {
+          a.push(b[iB]);
+        }
+      } else {
+        a.push(b);
+      }
+    }
+  },
+  patterns: {
+    //
+    // Matching patterns
+    // either regexps or function that return null or {match_:"a", remainder:"bc"}
+    //
+    patterns: {
+      // property names must not look like integers ("2") for correct property traversal order, later on
+      'empty': /^$/,
+      'else': /^./,
+      'else2': /^./,
+      'space': /^\s/,
+      'space A': /^\s(?=[A-Z\\$])/,
+      'space$': /^\s$/,
+      'a-z': /^[a-z]/,
+      'x': /^x/,
+      'x$': /^x$/,
+      'i$': /^i$/,
+      'letters': /^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,
+      '\\greek': /^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,
+      'one lowercase latin letter $': /^(?:([a-z])(?:$|[^a-zA-Z]))$/,
+      '$one lowercase latin letter$ $': /^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,
+      'one lowercase greek letter $': /^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,
+      'digits': /^[0-9]+/,
+      '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,
+      '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
+      '(-)(9.,9)(e)(99)': function e99(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '(-)(9)^(-9)': function _(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      'state of aggregation $': function stateOfAggregation$(input) {
+        // ... or crystal system
+        var a = mhchemParser.patterns.findObserveGroups(input, "", /^\([a-z]{1,3}(?=[\),])/, ")", ""); // (aq), (aq,$\infty$), (aq, sat)
+
+        if (a && a.remainder.match(/^($|[\s,;\)\]\}])/)) {
+          return a;
+        } //  AND end of 'phrase'
+
+
+        var m = input.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/); // OR crystal system ($o$) (\ca$c$)
+
+        if (m) {
+          return {
+            match_: m[0],
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '_{(state of aggregation)}$': /^_\{(\([a-z]{1,3}\))\}/,
+      '{[(': /^(?:\\\{|\[|\()/,
+      ')]}': /^(?:\)|\]|\\\})/,
+      ', ': /^[,;]\s*/,
+      ',': /^[,;]/,
+      '.': /^[.]/,
+      '. ': /^([.\u22C5\u00B7\u2022])\s*/,
+      '...': /^\.\.\.(?=$|[^.])/,
+      '* ': /^([*])\s*/,
+      '^{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^{", "", "", "}");
+      },
+      '^($...$)': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", "$", "$", "");
+      },
+      '^a': /^\^([0-9]+|[^\\_])/,
+      '^\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '^\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '^\\x': /^\^(\\[a-zA-Z]+)\s*/,
+      '^(-1)': /^\^(-?\d+)/,
+      '\'': /^'/,
+      '_{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_{", "", "", "}");
+      },
+      '_($...$)': function _$$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", "$", "$", "");
+      },
+      '_9': /^_([+\-]?[0-9]+|[^\\])/,
+      '_\\x{}{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '_\\x{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '_\\x': /^_(\\[a-zA-Z]+)\s*/,
+      '^_': /^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,
+      '{}': /^\{\}/,
+      '{...}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "{", "}", "");
+      },
+      '{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "{", "", "", "}");
+      },
+      '$...$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+      },
+      '${(...)}$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "${", "", "", "}$");
+      },
+      '$(...)$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "$", "", "", "$");
+      },
+      '=<>': /^[=<>]/,
+      '#': /^[#\u2261]/,
+      '+': /^\+/,
+      '-$': /^-(?=[\s_},;\]/]|$|\([a-z]+\))/,
+      // -space -, -; -] -/ -$ -state-of-aggregation
+      '-9': /^-(?=[0-9])/,
+      '- orbital overlap': /^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,
+      '-': /^-/,
+      'pm-operator': /^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,
+      'operator': /^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,
+      'arrowUpDown': /^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,
+      '\\bond{(...)}': function bond(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\bond{", "", "", "}");
+      },
+      '->': /^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,
+      'CMT': /^[CMT](?=\[)/,
+      '[(...)]': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "[", "", "", "]");
+      },
+      '1st-level escape': /^(&|\\\\|\\hline)\s*/,
+      '\\,': /^(?:\\[,\ ;:])/,
+      // \\x - but output no space before
+      '\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '\\ca': /^\\ca(?:\s+|(?![a-zA-Z]))/,
+      '\\x': /^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,
+      'orbital': /^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,
+      // only those with numbers in front, because the others will be formatted correctly anyway
+      'others': /^[\/~|]/,
+      '\\frac{(...)}': function frac(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\frac{", "", "", "}", "{", "", "", "}");
+      },
+      '\\overset{(...)}': function overset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\overset{", "", "", "}", "{", "", "", "}");
+      },
+      "\\underset{(...)}": function underset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underset{", "", "", "}", "{", "", "", "}");
+      },
+      "\\underbrace{(...)}": function underbrace(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underbrace{", "", "", "}_", "{", "", "", "}");
+      },
+      '\\color{(...)}0': function color0(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}");
+      },
+      '\\color{(...)}{(...)}1': function color1(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}", "{", "", "", "}");
+      },
+      '\\color(...){(...)}2': function color2(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color", "\\", "", /^(?=\{)/, "{", "", "", "}");
+      },
+      '\\ce{(...)}': function ce(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\ce{", "", "", "}");
+      },
+      'oxidation$': /^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      'd-oxidation$': /^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      // 0 could be oxidation or charge
+      'roman numeral': /^[IVX]+/,
+      '1/2$': /^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,
+      'amount': function amount(input) {
+        var match; // e.g. 2, 0.5, 1/2, -2, n/2, +;  $a$ could be added later in parsing
+
+        match = input.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        var a = mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+
+        if (a) {
+          // e.g. $2n-1$, $-$
+          match = a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/);
+
+          if (match) {
+            return {
+              match_: match[0],
+              remainder: input.substr(match[0].length)
+            };
+          }
+        }
+
+        return null;
+      },
+      'amount2': function amount2(input) {
+        return this['amount'](input);
+      },
+      '(KV letters),': /^(?:[A-Z][a-z]{0,2}|i)(?=,)/,
+      'formula$': function formula$(input) {
+        if (input.match(/^\([a-z]+\)$/)) {
+          return null;
+        } // state of aggregation = no formula
+
+
+        var match = input.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      },
+      'uprightEntities': /^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,
+      '/': /^\s*(\/)\s*/,
+      '//': /^\s*(\/\/)\s*/,
+      '*': /^\s*[*.]\s*/
+    },
+    findObserveGroups: function findObserveGroups(input, begExcl, begIncl, endIncl, endExcl, beg2Excl, beg2Incl, end2Incl, end2Excl, combine) {
+      /** @type {{(input: string, pattern: string | RegExp): string | string[] | null;}} */
+      var _match = function _match(input, pattern) {
+        if (typeof pattern === "string") {
+          if (input.indexOf(pattern) !== 0) {
+            return null;
+          }
+
+          return pattern;
+        } else {
+          var match = input.match(pattern);
+
+          if (!match) {
+            return null;
+          }
+
+          return match[0];
+        }
+      };
+      /** @type {{(input: string, i: number, endChars: string | RegExp): {endMatchBegin: number, endMatchEnd: number} | null;}} */
+
+
+      var _findObserveGroups = function _findObserveGroups(input, i, endChars) {
+        var braces = 0;
+
+        while (i < input.length) {
+          var a = input.charAt(i);
+
+          var match = _match(input.substr(i), endChars);
+
+          if (match !== null && braces === 0) {
+            return {
+              endMatchBegin: i,
+              endMatchEnd: i + match.length
+            };
+          } else if (a === "{") {
+            braces++;
+          } else if (a === "}") {
+            if (braces === 0) {
+              throw ["ExtraCloseMissingOpen", "Extra close brace or missing open brace"];
+            } else {
+              braces--;
+            }
+          }
+
+          i++;
+        }
+
+        if (braces > 0) {
+          return null;
+        }
+
+        return null;
+      };
+
+      var match = _match(input, begExcl);
+
+      if (match === null) {
+        return null;
+      }
+
+      input = input.substr(match.length);
+      match = _match(input, begIncl);
+
+      if (match === null) {
+        return null;
+      }
+
+      var e = _findObserveGroups(input, match.length, endIncl || endExcl);
+
+      if (e === null) {
+        return null;
+      }
+
+      var match1 = input.substring(0, endIncl ? e.endMatchEnd : e.endMatchBegin);
+
+      if (!(beg2Excl || beg2Incl)) {
+        return {
+          match_: match1,
+          remainder: input.substr(e.endMatchEnd)
+        };
+      } else {
+        var group2 = this.findObserveGroups(input.substr(e.endMatchEnd), beg2Excl, beg2Incl, end2Incl, end2Excl);
+
+        if (group2 === null) {
+          return null;
+        }
+        /** @type {string[]} */
+
+
+        var matchRet = [match1, group2.match_];
+        return {
+          match_: combine ? matchRet.join("") : matchRet,
+          remainder: group2.remainder
+        };
+      }
+    },
+    //
+    // Matching function
+    // e.g. match("a", input) will look for the regexp called "a" and see if it matches
+    // returns null or {match_:"a", remainder:"bc"}
+    //
+    match_: function match_(m, input) {
+      var pattern = mhchemParser.patterns.patterns[m];
+
+      if (pattern === undefined) {
+        throw ["MhchemBugP", "mhchem bug P. Please report. (" + m + ")"]; // Trying to use non-existing pattern
+      } else if (typeof pattern === "function") {
+        return mhchemParser.patterns.patterns[m](input); // cannot use cached var pattern here, because some pattern functions need this===mhchemParser
+      } else {
+        // RegExp
+        var match = input.match(pattern);
+
+        if (match) {
+          var mm;
+
+          if (match[2]) {
+            mm = [match[1], match[2]];
+          } else if (match[1]) {
+            mm = match[1];
+          } else {
+            mm = match[0];
+          }
+
+          return {
+            match_: mm,
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      }
+    }
+  },
+  //
+  // Generic state machine actions
+  //
+  actions: {
+    'a=': function a(buffer, m) {
+      buffer.a = (buffer.a || "") + m;
+    },
+    'b=': function b(buffer, m) {
+      buffer.b = (buffer.b || "") + m;
+    },
+    'p=': function p(buffer, m) {
+      buffer.p = (buffer.p || "") + m;
+    },
+    'o=': function o(buffer, m) {
+      buffer.o = (buffer.o || "") + m;
+    },
+    'q=': function q(buffer, m) {
+      buffer.q = (buffer.q || "") + m;
+    },
+    'd=': function d(buffer, m) {
+      buffer.d = (buffer.d || "") + m;
+    },
+    'rm=': function rm(buffer, m) {
+      buffer.rm = (buffer.rm || "") + m;
+    },
+    'text=': function text(buffer, m) {
+      buffer.text_ = (buffer.text_ || "") + m;
+    },
+    'insert': function insert(buffer, m, a) {
+      return {
+        type_: a
+      };
+    },
+    'insert+p1': function insertP1(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m
+      };
+    },
+    'insert+p1+p2': function insertP1P2(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m[0],
+        p2: m[1]
+      };
+    },
+    'copy': function copy(buffer, m) {
+      return m;
+    },
+    'rm': function rm(buffer, m) {
+      return {
+        type_: 'rm',
+        p1: m || ""
+      };
+    },
+    'text': function text(buffer, m) {
+      return mhchemParser.go(m, 'text');
+    },
+    '{text}': function text(buffer, m) {
+      var ret = ["{"];
+      mhchemParser.concatArray(ret, mhchemParser.go(m, 'text'));
+      ret.push("}");
+      return ret;
+    },
+    'tex-math': function texMath(buffer, m) {
+      return mhchemParser.go(m, 'tex-math');
+    },
+    'tex-math tight': function texMathTight(buffer, m) {
+      return mhchemParser.go(m, 'tex-math tight');
+    },
+    'bond': function bond(buffer, m, k) {
+      return {
+        type_: 'bond',
+        kind_: k || m
+      };
+    },
+    'color0-output': function color0Output(buffer, m) {
+      return {
+        type_: 'color0',
+        color: m[0]
+      };
+    },
+    'ce': function ce(buffer, m) {
+      return mhchemParser.go(m);
+    },
+    '1/2': function _(buffer, m) {
+      /** @type {ParserOutput[]} */
+      var ret = [];
+
+      if (m.match(/^[+\-]/)) {
+        ret.push(m.substr(0, 1));
+        m = m.substr(1);
+      }
+
+      var n = m.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/);
+      n[1] = n[1].replace(/\$/g, "");
+      ret.push({
+        type_: 'frac',
+        p1: n[1],
+        p2: n[2]
+      });
+
+      if (n[3]) {
+        n[3] = n[3].replace(/\$/g, "");
+        ret.push({
+          type_: 'tex-math',
+          p1: n[3]
+        });
+      }
+
+      return ret;
+    },
+    '9,9': function _(buffer, m) {
+      return mhchemParser.go(m, '9,9');
+    }
+  },
+  //
+  // createTransitions
+  // convert  { 'letter': { 'state': { action_: 'output' } } }  to  { 'state' => [ { pattern: 'letter', task: { action_: [{type_: 'output'}] } } ] }
+  // with expansion of 'a|b' to 'a' and 'b' (at 2 places)
+  //
+  createTransitions: function createTransitions(o) {
+    var pattern, state;
+    /** @type {string[]} */
+
+    var stateArray;
+    var i; //
+    // 1. Collect all states
+    //
+
+    /** @type {Transitions} */
+
+    var transitions = {};
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = state.split("|");
+        o[pattern][state].stateArray = stateArray;
+
+        for (i = 0; i < stateArray.length; i++) {
+          transitions[stateArray[i]] = [];
+        }
+      }
+    } //
+    // 2. Fill states
+    //
+
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = o[pattern][state].stateArray || [];
+
+        for (i = 0; i < stateArray.length; i++) {
+          //
+          // 2a. Normalize actions into array:  'text=' ==> [{type_:'text='}]
+          // (Note to myself: Resolving the function here would be problematic. It would need .bind (for *this*) and currying (for *option*).)
+          //
+
+          /** @type {any} */
+          var p = o[pattern][state];
+
+          if (p.action_) {
+            p.action_ = [].concat(p.action_);
+
+            for (var k = 0; k < p.action_.length; k++) {
+              if (typeof p.action_[k] === "string") {
+                p.action_[k] = {
+                  type_: p.action_[k]
+                };
+              }
+            }
+          } else {
+            p.action_ = [];
+          } //
+          // 2.b Multi-insert
+          //
+
+
+          var patternArray = pattern.split("|");
+
+          for (var j = 0; j < patternArray.length; j++) {
+            if (stateArray[i] === '*') {
+              // insert into all
+              for (var t in transitions) {
+                transitions[t].push({
+                  pattern: patternArray[j],
+                  task: p
+                });
+              }
+            } else {
+              transitions[stateArray[i]].push({
+                pattern: patternArray[j],
+                task: p
+              });
+            }
+          }
+        }
+      }
+    }
+
+    return transitions;
+  },
+  stateMachines: {}
+}; //
+// Definition of state machines
+//
+
+mhchemParser.stateMachines = {
+  //
+  // \ce state machines
+  //
+  //#region ce
+  'ce': {
+    // main parser
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'else': {
+        '0|1|2': {
+          action_: 'beginsWithBond=false',
+          revisit: true,
+          toContinue: true
+        }
+      },
+      'oxidation$': {
+        '0': {
+          action_: 'oxidation-output'
+        }
+      },
+      'CMT': {
+        'r': {
+          action_: 'rdt=',
+          nextState: 'rt'
+        },
+        'rd': {
+          action_: 'rqt=',
+          nextState: 'rdt'
+        }
+      },
+      'arrowUpDown': {
+        '0|1|2|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '1'
+        }
+      },
+      'uprightEntities': {
+        '0|1|2': {
+          action_: ['o=', 'output'],
+          nextState: '1'
+        }
+      },
+      'orbital': {
+        '0|1|2|3': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      '->': {
+        '0|1|2|3': {
+          action_: 'r=',
+          nextState: 'r'
+        },
+        'a|as': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        },
+        '*': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        }
+      },
+      '+': {
+        'o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'd|D': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd|qD': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        },
+        '3': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      'amount': {
+        '0|2': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'pm-operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', {
+            type_: 'operator',
+            option: '\\pm'
+          }],
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      '-$': {
+        'o|q': {
+          action_: ['charge or bond', 'output'],
+          nextState: 'qd'
+        },
+        'd': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'D': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qD|dq': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      '-9': {
+        '3|o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '3'
+        }
+      },
+      '- orbital overlap': {
+        'o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'd': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        }
+      },
+      '-': {
+        '0|1|2': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'beginsWithBond=true', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        '3': {
+          action_: {
+            type_: 'bond',
+            option: "-"
+          }
+        },
+        'a': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'as': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'b': {
+          action_: 'b='
+        },
+        'o': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'q': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'd|qd|dq': {
+          action_: {
+            type_: '- after o/d',
+            option: true
+          },
+          nextState: '2'
+        },
+        'D|qD|p': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      'amount2': {
+        '1|3': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'letters': {
+        '0|1|2|3|a|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'q|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'd|D|qd|qD': {
+          action_: 'o after d',
+          nextState: 'o'
+        }
+      },
+      'digits': {
+        'o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'a': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      'space A': {
+        'b|p|bp': {}
+      },
+      'space': {
+        'a': {
+          nextState: 'as'
+        },
+        '0': {
+          action_: 'sb=false'
+        },
+        '1|2': {
+          action_: 'sb=true'
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: 'output',
+          nextState: '0'
+        },
+        '*': {
+          action_: ['output', 'sb=true'],
+          nextState: '1'
+        }
+      },
+      '1st-level escape': {
+        '1|2': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }]
+        },
+        '*': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }],
+          nextState: '0'
+        }
+      },
+      '[(...)]': {
+        'r|rt': {
+          action_: 'rd=',
+          nextState: 'rd'
+        },
+        'rd|rdt': {
+          action_: 'rq=',
+          nextState: 'rdq'
+        }
+      },
+      '...': {
+        'o|d|D|dq|qd|qD': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "..."
+          }],
+          nextState: '3'
+        },
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, {
+            type_: 'insert',
+            option: 'ellipsis'
+          }],
+          nextState: '1'
+        }
+      },
+      '. |* ': {
+        '*': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'addition compound'
+          }],
+          nextState: '1'
+        }
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: ['output', 'state of aggregation'],
+          nextState: '1'
+        }
+      },
+      '{[(': {
+        'a|as|o': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '0|1|2|3': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        }
+      },
+      ')]}': {
+        '0|1|2|3|b|p|bp|o': {
+          action_: ['o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        },
+        'a|as|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        }
+      },
+      ', ': {
+        '*': {
+          action_: ['output', 'comma'],
+          nextState: '0'
+        }
+      },
+      '^_': {
+        // ^ and _ without a sensible argument
+        '*': {}
+      },
+      '^{(...)}|^($...$)': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'D'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qD'
+        },
+        'd|D|qd|qD|dq': {
+          action_: ['output', 'd='],
+          nextState: 'D'
+        }
+      },
+      '^a|^\\x{}{}|^\\x{}|^\\x|\'': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'd|qd|D|qD': {
+          action_: 'd='
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        }
+      },
+      '_{(state of aggregation)}$': {
+        'd|D|q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x': {
+        '0|1|2|as': {
+          action_: 'p=',
+          nextState: 'p'
+        },
+        'b': {
+          action_: 'p=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '=<>': {
+        '0|1|2|3|a|as|o|q|d|D|qd|qD|dq': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: '3'
+        }
+      },
+      '#': {
+        '0|1|2|3|a|as|o': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "#"
+          }],
+          nextState: '3'
+        }
+      },
+      '{}': {
+        '*': {
+          action_: {
+            type_: 'output',
+            option: 1
+          },
+          nextState: '1'
+        }
+      },
+      '{...}': {
+        '0|1|2|3|a|as|b|p|bp': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'o|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '$...$': {
+        'a': {
+          action_: 'a='
+        },
+        // 2$n$
+        '0|1|2|3|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        // not 'amount'
+        'as|o': {
+          action_: 'o='
+        },
+        'q|d|D|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '\\bond{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: "3"
+        }
+      },
+      '\\frac{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'frac-output'],
+          nextState: '3'
+        }
+      },
+      '\\overset{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'overset-output'],
+          nextState: '3'
+        }
+      },
+      "\\underset{(...)}": {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underset-output'],
+          nextState: '3'
+        }
+      },
+      "\\underbrace{(...)}": {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underbrace-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color0-output']
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'ce'],
+          nextState: '3'
+        }
+      },
+      '\\,': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '1'
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '0|1|2|3|a|as|b|p|bp|o|c0': {
+          action_: ['o=', 'output'],
+          nextState: '3'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output'],
+          nextState: '3'
+        }
+      },
+      'others': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '3'
+        }
+      },
+      'else2': {
+        'a': {
+          action_: 'a to o',
+          nextState: 'o',
+          revisit: true
+        },
+        'as': {
+          action_: ['output', 'sb=true'],
+          nextState: '1',
+          revisit: true
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: ['output'],
+          nextState: '0',
+          revisit: true
+        },
+        '*': {
+          action_: ['output', 'copy'],
+          nextState: '3'
+        }
+      }
+    }),
+    actions: {
+      'o after d': function oAfterD(buffer, m) {
+        var ret;
+
+        if ((buffer.d || "").match(/^[0-9]+$/)) {
+          var tmp = buffer.d;
+          buffer.d = undefined;
+          ret = this['output'](buffer);
+          buffer.b = tmp;
+        } else {
+          ret = this['output'](buffer);
+        }
+
+        mhchemParser.actions['o='](buffer, m);
+        return ret;
+      },
+      'd= kv': function dKv(buffer, m) {
+        buffer.d = m;
+        buffer.dType = 'kv';
+      },
+      'charge or bond': function chargeOrBond(buffer, m) {
+        if (buffer['beginsWithBond']) {
+          /** @type {ParserOutput[]} */
+          var ret = [];
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          return ret;
+        } else {
+          buffer.d = m;
+        }
+      },
+      '- after o/d': function afterOD(buffer, m, isAfterD) {
+        var c1 = mhchemParser.patterns.match_('orbital', buffer.o || "");
+        var c2 = mhchemParser.patterns.match_('one lowercase greek letter $', buffer.o || "");
+        var c3 = mhchemParser.patterns.match_('one lowercase latin letter $', buffer.o || "");
+        var c4 = mhchemParser.patterns.match_('$one lowercase latin letter$ $', buffer.o || "");
+        var hyphenFollows = m === "-" && (c1 && c1.remainder === "" || c2 || c3 || c4);
+
+        if (hyphenFollows && !buffer.a && !buffer.b && !buffer.p && !buffer.d && !buffer.q && !c1 && c3) {
+          buffer.o = '$' + buffer.o + '$';
+        }
+        /** @type {ParserOutput[]} */
+
+
+        var ret = [];
+
+        if (hyphenFollows) {
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          ret.push({
+            type_: 'hyphen'
+          });
+        } else {
+          c1 = mhchemParser.patterns.match_('digits', buffer.d || "");
+
+          if (isAfterD && c1 && c1.remainder === '') {
+            mhchemParser.concatArray(ret, mhchemParser.actions['d='](buffer, m));
+            mhchemParser.concatArray(ret, this['output'](buffer));
+          } else {
+            mhchemParser.concatArray(ret, this['output'](buffer));
+            mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          }
+        }
+
+        return ret;
+      },
+      'a to o': function aToO(buffer) {
+        buffer.o = buffer.a;
+        buffer.a = undefined;
+      },
+      'sb=true': function sbTrue(buffer) {
+        buffer.sb = true;
+      },
+      'sb=false': function sbFalse(buffer) {
+        buffer.sb = false;
+      },
+      'beginsWithBond=true': function beginsWithBondTrue(buffer) {
+        buffer['beginsWithBond'] = true;
+      },
+      'beginsWithBond=false': function beginsWithBondFalse(buffer) {
+        buffer['beginsWithBond'] = false;
+      },
+      'parenthesisLevel++': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']++;
+      },
+      'parenthesisLevel--': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']--;
+      },
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'comma': function comma(buffer, m) {
+        var a = m.replace(/\s*$/, '');
+        var withSpace = a !== m;
+
+        if (withSpace && buffer['parenthesisLevel'] === 0) {
+          return {
+            type_: 'comma enumeration L',
+            p1: a
+          };
+        } else {
+          return {
+            type_: 'comma enumeration M',
+            p1: a
+          };
+        }
+      },
+      'output': function output(buffer, m, entityFollows) {
+        // entityFollows:
+        //   undefined = if we have nothing else to output, also ignore the just read space (buffer.sb)
+        //   1 = an entity follows, never omit the space if there was one just read before (can only apply to state 1)
+        //   2 = 1 + the entity can have an amount, so output a\, instead of converting it to o (can only apply to states a|as)
+
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+
+        if (!buffer.r) {
+          ret = [];
+
+          if (!buffer.a && !buffer.b && !buffer.p && !buffer.o && !buffer.q && !buffer.d && !entityFollows) {//ret = [];
+          } else {
+            if (buffer.sb) {
+              ret.push({
+                type_: 'entitySkip'
+              });
+            }
+
+            if (!buffer.o && !buffer.q && !buffer.d && !buffer.b && !buffer.p && entityFollows !== 2) {
+              buffer.o = buffer.a;
+              buffer.a = undefined;
+            } else if (!buffer.o && !buffer.q && !buffer.d && (buffer.b || buffer.p)) {
+              buffer.o = buffer.a;
+              buffer.d = buffer.b;
+              buffer.q = buffer.p;
+              buffer.a = buffer.b = buffer.p = undefined;
+            } else {
+              if (buffer.o && buffer.dType === 'kv' && mhchemParser.patterns.match_('d-oxidation$', buffer.d || "")) {
+                buffer.dType = 'oxidation';
+              } else if (buffer.o && buffer.dType === 'kv' && !buffer.q) {
+                buffer.dType = undefined;
+              }
+            }
+
+            ret.push({
+              type_: 'chemfive',
+              a: mhchemParser.go(buffer.a, 'a'),
+              b: mhchemParser.go(buffer.b, 'bd'),
+              p: mhchemParser.go(buffer.p, 'pq'),
+              o: mhchemParser.go(buffer.o, 'o'),
+              q: mhchemParser.go(buffer.q, 'pq'),
+              d: mhchemParser.go(buffer.d, buffer.dType === 'oxidation' ? 'oxidation' : 'bd'),
+              dType: buffer.dType
+            });
+          }
+        } else {
+          // r
+
+          /** @type {ParserOutput[]} */
+          var rd;
+
+          if (buffer.rdt === 'M') {
+            rd = mhchemParser.go(buffer.rd, 'tex-math');
+          } else if (buffer.rdt === 'T') {
+            rd = [{
+              type_: 'text',
+              p1: buffer.rd || ""
+            }];
+          } else {
+            rd = mhchemParser.go(buffer.rd);
+          }
+          /** @type {ParserOutput[]} */
+
+
+          var rq;
+
+          if (buffer.rqt === 'M') {
+            rq = mhchemParser.go(buffer.rq, 'tex-math');
+          } else if (buffer.rqt === 'T') {
+            rq = [{
+              type_: 'text',
+              p1: buffer.rq || ""
+            }];
+          } else {
+            rq = mhchemParser.go(buffer.rq);
+          }
+
+          ret = {
+            type_: 'arrow',
+            r: buffer.r,
+            rd: rd,
+            rq: rq
+          };
+        }
+
+        for (var p in buffer) {
+          if (p !== 'parenthesisLevel' && p !== 'beginsWithBond') {
+            delete buffer[p];
+          }
+        }
+
+        return ret;
+      },
+      'oxidation-output': function oxidationOutput(buffer, m) {
+        var ret = ["{"];
+        mhchemParser.concatArray(ret, mhchemParser.go(m, 'oxidation'));
+        ret.push("}");
+        return ret;
+      },
+      'frac-output': function fracOutput(buffer, m) {
+        return {
+          type_: 'frac-ce',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'overset-output': function oversetOutput(buffer, m) {
+        return {
+          type_: 'overset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underset-output': function undersetOutput(buffer, m) {
+        return {
+          type_: 'underset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underbrace-output': function underbraceOutput(buffer, m) {
+        return {
+          type_: 'underbrace',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1])
+        };
+      },
+      'r=': function r(buffer, m) {
+        buffer.r = m;
+      },
+      'rdt=': function rdt(buffer, m) {
+        buffer.rdt = m;
+      },
+      'rd=': function rd(buffer, m) {
+        buffer.rd = m;
+      },
+      'rqt=': function rqt(buffer, m) {
+        buffer.rqt = m;
+      },
+      'rq=': function rq(buffer, m) {
+        buffer.rq = m;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      }
+    }
+  },
+  'a': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      '$(...)$': {
+        '*': {
+          action_: 'tex-math tight',
+          nextState: '1'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'commaDecimal'
+          }
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'o': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\\ca': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'circa'
+          }
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: '{text}'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'text': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '{...}': {
+        '*': {
+          action_: 'text='
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '\\greek': {
+        '*': {
+          action_: ['output', 'rm']
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: ['output', 'copy']
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.text_) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'text',
+            p1: buffer.text_
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'pq': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: 'state of aggregation'
+        }
+      },
+      'i$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '(KV letters),': {
+        '0': {
+          action_: 'rm',
+          nextState: '0'
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '-9.,9': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert+p1',
+            option: 'comma enumeration S'
+          }
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation subscript',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'pq')
+        };
+      }
+    }
+  },
+  'bd': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'x$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '-9.,9 no missing 0': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      '.': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'electron dot'
+          }
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'x': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'KV x'
+          }
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\'': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'prime'
+          }
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'bd')
+        };
+      }
+    }
+  },
+  'oxidation': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'roman numeral': {
+        '*': {
+          action_: 'roman-numeral'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'roman-numeral': function romanNumeral(buffer, m) {
+        return {
+          type_: 'roman numeral',
+          p1: m || ""
+        };
+      }
+    }
+  },
+  'tex-math': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'tex-math tight': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      '-|+': {
+        '*': {
+          action_: 'tight operator'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'tight operator': function tightOperator(buffer, m) {
+        buffer.o = (buffer.o || "") + "{" + m + "}";
+      },
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  '9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      ',': {
+        '*': {
+          action_: 'comma'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      }
+    }
+  },
+  //#endregion
+  //
+  // \pu state machines
+  //
+  //#region pu
+  'pu': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'space$': {
+        '*': {
+          action_: ['output', 'space']
+        }
+      },
+      '{[(|)]}': {
+        '0|a': {
+          action_: 'copy'
+        }
+      },
+      '(-)(9)^(-9)': {
+        '0': {
+          action_: 'number^',
+          nextState: 'a'
+        }
+      },
+      '(-)(9.,9)(e)(99)': {
+        '0': {
+          action_: 'enumber',
+          nextState: 'a'
+        }
+      },
+      'space': {
+        '0|a': {}
+      },
+      'pm-operator': {
+        '0|a': {
+          action_: {
+            type_: 'operator',
+            option: '\\pm'
+          },
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|a': {
+          action_: 'copy',
+          nextState: '0'
+        }
+      },
+      '//': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '/': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '{...}|else': {
+        '0|d': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'a': {
+          action_: ['space', 'd='],
+          nextState: 'd'
+        },
+        '/|q': {
+          action_: 'q=',
+          nextState: 'q'
+        }
+      }
+    }),
+    actions: {
+      'enumber': function enumber(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        if (m[1]) {
+          mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+
+          if (m[2]) {
+            if (m[2].match(/[,.]/)) {
+              mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9'));
+            } else {
+              ret.push(m[2]);
+            }
+          }
+
+          m[3] = m[4] || m[3];
+
+          if (m[3]) {
+            m[3] = m[3].trim();
+
+            if (m[3] === "e" || m[3].substr(0, 1) === "*") {
+              ret.push({
+                type_: 'cdot'
+              });
+            } else {
+              ret.push({
+                type_: 'times'
+              });
+            }
+          }
+        }
+
+        if (m[3]) {
+          ret.push("10^{" + m[5] + "}");
+        }
+
+        return ret;
+      },
+      'number^': function number(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+        ret.push("^{" + m[2] + "}");
+        return ret;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-1'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+        var md = mhchemParser.patterns.match_('{(...)}', buffer.d || "");
+
+        if (md && md.remainder === '') {
+          buffer.d = md.match_;
+        }
+
+        var mq = mhchemParser.patterns.match_('{(...)}', buffer.q || "");
+
+        if (mq && mq.remainder === '') {
+          buffer.q = mq.match_;
+        }
+
+        if (buffer.d) {
+          buffer.d = buffer.d.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.d = buffer.d.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+        }
+
+        if (buffer.q) {
+          // fraction
+          buffer.q = buffer.q.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.q = buffer.q.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+          var b5 = {
+            d: mhchemParser.go(buffer.d, 'pu'),
+            q: mhchemParser.go(buffer.q, 'pu')
+          };
+
+          if (buffer.o === '//') {
+            ret = {
+              type_: 'pu-frac',
+              p1: b5.d,
+              p2: b5.q
+            };
+          } else {
+            ret = b5.d;
+
+            if (b5.d.length > 1 || b5.q.length > 1) {
+              ret.push({
+                type_: ' / '
+              });
+            } else {
+              ret.push({
+                type_: '/'
+              });
+            }
+
+            mhchemParser.concatArray(ret, b5.q);
+          }
+        } else {
+          // no fraction
+          ret = mhchemParser.go(buffer.d, 'pu-2');
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-2': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '*': {
+        '*': {
+          action_: ['output', 'cdot'],
+          nextState: '0'
+        }
+      },
+      '\\x': {
+        '*': {
+          action_: 'rm='
+        }
+      },
+      'space': {
+        '*': {
+          action_: ['output', 'space'],
+          nextState: '0'
+        }
+      },
+      '^{(...)}|^(-1)': {
+        '1': {
+          action_: '^(-1)'
+        }
+      },
+      '-9.,9': {
+        '0': {
+          action_: 'rm=',
+          nextState: '0'
+        },
+        '1': {
+          action_: '^(-1)',
+          nextState: '0'
+        }
+      },
+      '{...}|else': {
+        '*': {
+          action_: 'rm=',
+          nextState: '1'
+        }
+      }
+    }),
+    actions: {
+      'cdot': function cdot() {
+        return {
+          type_: 'tight cdot'
+        };
+      },
+      '^(-1)': function _(buffer, m) {
+        buffer.rm += "^{" + m + "}";
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-2'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret = [];
+
+        if (buffer.rm) {
+          var mrm = mhchemParser.patterns.match_('{(...)}', buffer.rm || "");
+
+          if (mrm && mrm.remainder === '') {
+            ret = mhchemParser.go(mrm.match_, 'pu');
+          } else {
+            ret = {
+              type_: 'rm',
+              p1: buffer.rm
+            };
+          }
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '0': {
+          action_: 'output-0'
+        },
+        'o': {
+          action_: 'output-o'
+        }
+      },
+      ',': {
+        '0': {
+          action_: ['output-0', 'comma'],
+          nextState: 'o'
+        }
+      },
+      '.': {
+        '0': {
+          action_: ['output-0', 'copy'],
+          nextState: 'o'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      },
+      'output-0': function output0(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length % 3;
+
+          if (a === 0) {
+            a = 3;
+          }
+
+          for (var i = buffer.text_.length - 3; i > 0; i -= 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(0, a));
+          ret.reverse();
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      },
+      'output-o': function outputO(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length - 3;
+
+          for (var i = 0; i < a; i += 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(i));
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    } //#endregion
+
+  }
+}; //
+// texify: Take MhchemParser output and convert it to TeX
+//
+
+/** @type {Texify} */
+
+var texify = {
+  go: function go(input, isInner) {
+    // (recursive, max 4 levels)
+    if (!input) {
+      return "";
+    }
+
+    var res = "";
+    var cee = false;
+
+    for (var i = 0; i < input.length; i++) {
+      var inputi = input[i];
+
+      if (typeof inputi === "string") {
+        res += inputi;
+      } else {
+        res += texify._go2(inputi);
+
+        if (inputi.type_ === '1st-level escape') {
+          cee = true;
+        }
+      }
+    }
+
+    if (!isInner && !cee && res) {
+      res = "{" + res + "}";
+    }
+
+    return res;
+  },
+  _goInner: function _goInner(input) {
+    if (!input) {
+      return input;
+    }
+
+    return texify.go(input, true);
+  },
+  _go2: function _go2(buf) {
+    /** @type {undefined | string} */
+    var res;
+
+    switch (buf.type_) {
+      case 'chemfive':
+        res = "";
+        var b5 = {
+          a: texify._goInner(buf.a),
+          b: texify._goInner(buf.b),
+          p: texify._goInner(buf.p),
+          o: texify._goInner(buf.o),
+          q: texify._goInner(buf.q),
+          d: texify._goInner(buf.d)
+        }; //
+        // a
+        //
+
+        if (b5.a) {
+          if (b5.a.match(/^[+\-]/)) {
+            b5.a = "{" + b5.a + "}";
+          }
+
+          res += b5.a + "\\,";
+        } //
+        // b and p
+        //
+
+
+        if (b5.b || b5.p) {
+          res += "{\\vphantom{X}}";
+          res += "^{\\hphantom{" + (b5.b || "") + "}}_{\\hphantom{" + (b5.p || "") + "}}";
+          res += "{\\vphantom{X}}";
+          res += "^{\\smash[t]{\\vphantom{2}}\\mathllap{" + (b5.b || "") + "}}";
+          res += "_{\\vphantom{2}\\mathllap{\\smash[t]{" + (b5.p || "") + "}}}";
+        } //
+        // o
+        //
+
+
+        if (b5.o) {
+          if (b5.o.match(/^[+\-]/)) {
+            b5.o = "{" + b5.o + "}";
+          }
+
+          res += b5.o;
+        } //
+        // q and d
+        //
+
+
+        if (buf.dType === 'kv') {
+          if (b5.d || b5.q) {
+            res += "{\\vphantom{X}}";
+          }
+
+          if (b5.d) {
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else if (buf.dType === 'oxidation') {
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else {
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+        }
+
+        break;
+
+      case 'rm':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'text':
+        if (buf.p1.match(/[\^_]/)) {
+          buf.p1 = buf.p1.replace(" ", "~").replace("-", "\\text{-}");
+          res = "\\mathrm{" + buf.p1 + "}";
+        } else {
+          res = "\\text{" + buf.p1 + "}";
+        }
+
+        break;
+
+      case 'roman numeral':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'state of aggregation':
+        res = "\\mskip2mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'state of aggregation subscript':
+        res = "\\mskip1mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'bond':
+        res = texify._getBond(buf.kind_);
+
+        if (!res) {
+          throw ["MhchemErrorBond", "mhchem Error. Unknown bond type (" + buf.kind_ + ")"];
+        }
+
+        break;
+
+      case 'frac':
+        var c = "\\frac{" + buf.p1 + "}{" + buf.p2 + "}";
+        res = "\\mathchoice{\\textstyle" + c + "}{" + c + "}{" + c + "}{" + c + "}";
+        break;
+
+      case 'pu-frac':
+        var d = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        res = "\\mathchoice{\\textstyle" + d + "}{" + d + "}{" + d + "}{" + d + "}";
+        break;
+
+      case 'tex-math':
+        res = buf.p1 + " ";
+        break;
+
+      case 'frac-ce':
+        res = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'overset':
+        res = "\\overset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underset':
+        res = "\\underset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underbrace':
+        res = "\\underbrace{" + texify._goInner(buf.p1) + "}_{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'color':
+        res = "{\\color{" + buf.color1 + "}{" + texify._goInner(buf.color2) + "}}";
+        break;
+
+      case 'color0':
+        res = "\\color{" + buf.color + "}";
+        break;
+
+      case 'arrow':
+        var b6 = {
+          rd: texify._goInner(buf.rd),
+          rq: texify._goInner(buf.rq)
+        };
+
+        var arrow = "\\x" + texify._getArrow(buf.r);
+
+        if (b6.rq) {
+          arrow += "[{" + b6.rq + "}]";
+        }
+
+        if (b6.rd) {
+          arrow += "{" + b6.rd + "}";
+        } else {
+          arrow += "{}";
+        }
+
+        res = arrow;
+        break;
+
+      case 'operator':
+        res = texify._getOperator(buf.kind_);
+        break;
+
+      case '1st-level escape':
+        res = buf.p1 + " "; // &, \\\\, \\hlin
+
+        break;
+
+      case 'space':
+        res = " ";
+        break;
+
+      case 'entitySkip':
+        res = "~";
+        break;
+
+      case 'pu-space-1':
+        res = "~";
+        break;
+
+      case 'pu-space-2':
+        res = "\\mkern3mu ";
+        break;
+
+      case '1000 separator':
+        res = "\\mkern2mu ";
+        break;
+
+      case 'commaDecimal':
+        res = "{,}";
+        break;
+
+      case 'comma enumeration L':
+        res = "{" + buf.p1 + "}\\mkern6mu ";
+        break;
+
+      case 'comma enumeration M':
+        res = "{" + buf.p1 + "}\\mkern3mu ";
+        break;
+
+      case 'comma enumeration S':
+        res = "{" + buf.p1 + "}\\mkern1mu ";
+        break;
+
+      case 'hyphen':
+        res = "\\text{-}";
+        break;
+
+      case 'addition compound':
+        res = "\\,{\\cdot}\\,";
+        break;
+
+      case 'electron dot':
+        res = "\\mkern1mu \\bullet\\mkern1mu ";
+        break;
+
+      case 'KV x':
+        res = "{\\times}";
+        break;
+
+      case 'prime':
+        res = "\\prime ";
+        break;
+
+      case 'cdot':
+        res = "\\cdot ";
+        break;
+
+      case 'tight cdot':
+        res = "\\mkern1mu{\\cdot}\\mkern1mu ";
+        break;
+
+      case 'times':
+        res = "\\times ";
+        break;
+
+      case 'circa':
+        res = "{\\sim}";
+        break;
+
+      case '^':
+        res = "uparrow";
+        break;
+
+      case 'v':
+        res = "downarrow";
+        break;
+
+      case 'ellipsis':
+        res = "\\ldots ";
+        break;
+
+      case '/':
+        res = "/";
+        break;
+
+      case ' / ':
+        res = "\\,/\\,";
+        break;
+
+      default:
+        assertNever(buf);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+      // Missing texify rule or unknown MhchemParser output
+    }
+
+    assertString(res);
+    return res;
+  },
+  _getArrow: function _getArrow(a) {
+    switch (a) {
+      case "->":
+        return "rightarrow";
+
+      case "\u2192":
+        return "rightarrow";
+
+      case "\u27F6":
+        return "rightarrow";
+
+      case "<-":
+        return "leftarrow";
+
+      case "<->":
+        return "leftrightarrow";
+
+      case "<-->":
+        return "rightleftarrows";
+
+      case "<=>":
+        return "rightleftharpoons";
+
+      case "\u21CC":
+        return "rightleftharpoons";
+
+      case "<=>>":
+        return "rightequilibrium";
+
+      case "<<=>":
+        return "leftequilibrium";
+
+      default:
+        assertNever(a);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getBond: function _getBond(a) {
+    switch (a) {
+      case "-":
+        return "{-}";
+
+      case "1":
+        return "{-}";
+
+      case "=":
+        return "{=}";
+
+      case "2":
+        return "{=}";
+
+      case "#":
+        return "{\\equiv}";
+
+      case "3":
+        return "{\\equiv}";
+
+      case "~":
+        return "{\\tripledash}";
+
+      case "~-":
+        return "{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";
+
+      case "~=":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "~--":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "-~-":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";
+
+      case "...":
+        return "{{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "....":
+        return "{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "->":
+        return "{\\rightarrow}";
+
+      case "<-":
+        return "{\\leftarrow}";
+
+      case "<":
+        return "{<}";
+
+      case ">":
+        return "{>}";
+
+      default:
+        assertNever(a);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getOperator: function _getOperator(a) {
+    switch (a) {
+      case "+":
+        return " {}+{} ";
+
+      case "-":
+        return " {}-{} ";
+
+      case "=":
+        return " {}={} ";
+
+      case "<":
+        return " {}<{} ";
+
+      case ">":
+        return " {}>{} ";
+
+      case "<<":
+        return " {}\\ll{} ";
+
+      case ">>":
+        return " {}\\gg{} ";
+
+      case "\\pm":
+        return " {}\\pm{} ";
+
+      case "\\approx":
+        return " {}\\approx{} ";
+
+      case "$\\approx$":
+        return " {}\\approx{} ";
+
+      case "v":
+        return " \\downarrow{} ";
+
+      case "(v)":
+        return " \\downarrow{} ";
+
+      case "^":
+        return " \\uparrow{} ";
+
+      case "(^)":
+        return " \\uparrow{} ";
+
+      default:
+        assertNever(a);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  }
+}; //
+// Helpers for code anaylsis
+// Will show type error at calling position
+//
+
+/** @param {number} a */
+
+function assertNever(a) {}
+/** @param {string} a */
+
+
+function assertString(a) {}
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/mhchem.min.js b/docs/static/katex/v0.11.1/contrib/mhchem.min.js
new file mode 100644
index 000000000..8fd9cca8f
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/mhchem.min.js
@@ -0,0 +1 @@
+!function(t,e){if("object"==typeof exports&&"object"==typeof module)module.exports=e(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],e);else{var n="object"==typeof exports?e(require("katex")):e(t.katex);for(var o in n)("object"==typeof exports?exports:t)[o]=n[o]}}("undefined"!=typeof self?self:this,function(t){return function(t){var e={};function n(o){if(e[o])return e[o].exports;var a=e[o]={i:o,l:!1,exports:{}};return t[o].call(a.exports,a,a.exports,n),a.l=!0,a.exports}return n.m=t,n.c=e,n.d=function(t,e,o){n.o(t,e)||Object.defineProperty(t,e,{enumerable:!0,get:o})},n.r=function(t){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(t,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(t,"__esModule",{value:!0})},n.t=function(t,e){if(1&e&&(t=n(t)),8&e)return t;if(4&e&&"object"==typeof t&&t&&t.__esModule)return t;var o=Object.create(null);if(n.r(o),Object.defineProperty(o,"default",{enumerable:!0,value:t}),2&e&&"string"!=typeof t)for(var a in t)n.d(o,a,function(e){return t[e]}.bind(null,a));return o},n.n=function(t){var e=t&&t.__esModule?function(){return t.default}:function(){return t};return n.d(e,"a",e),e},n.o=function(t,e){return Object.prototype.hasOwnProperty.call(t,e)},n.p="",n(n.s=1)}([function(e,n){e.exports=t},function(t,e,n){"use strict";n.r(e);var o=n(0),a=n.n(o);a.a.__defineMacro("\\ce",function(t){return r(t.consumeArgs(1)[0],"ce")}),a.a.__defineMacro("\\pu",function(t){return r(t.consumeArgs(1)[0],"pu")}),a.a.__defineMacro("\\tripledash","{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}");var r=function(t,e){for(var n="",o=t[t.length-1].loc.start,a=t.length-1;a>=0;a--)t[a].loc.start>o&&(n+=" ",o=t[a].loc.start),n+=t[a].text,o+=t[a].text.length;return c.go(i.go(n,e))},i={go:function(t,e){if(!t)return[];void 0===e&&(e="ce");var n,o="0",a={};a.parenthesisLevel=0,t=(t=(t=t.replace(/\n/g," ")).replace(/[\u2212\u2013\u2014\u2010]/g,"-")).replace(/[\u2026]/g,"...");for(var r=10,c=[];;){n!==t?(r=10,n=t):r--;var u=i.stateMachines[e],p=u.transitions[o]||u.transitions["*"];t:for(var s=0;s<p.length;s++){var _=i.patterns.match_(p[s].pattern,t);if(_){for(var d=p[s].task,m=0;m<d.action_.length;m++){var l;if(u.actions[d.action_[m].type_])l=u.actions[d.action_[m].type_](a,_.match_,d.action_[m].option);else{if(!i.actions[d.action_[m].type_])throw["MhchemBugA","mhchem bug A. Please report. ("+d.action_[m].type_+")"];l=i.actions[d.action_[m].type_](a,_.match_,d.action_[m].option)}i.concatArray(c,l)}if(o=d.nextState||o,!(t.length>0))return c;if(d.revisit||(t=_.remainder),!d.toContinue)break t}}if(r<=0)throw["MhchemBugU","mhchem bug U. 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subscript",p1:i.go(e,"o")}},"color-output":function(t,e){return{type_:"color",color1:e[0],color2:i.go(e[1],"pq")}}}},bd:{transitions:i.createTransitions({empty:{"*":{}},x$:{0:{nextState:"!f",revisit:!0}},formula$:{0:{nextState:"f",revisit:!0}},else:{0:{nextState:"!f",revisit:!0}},"-9.,9 no missing 0":{"*":{action_:"9,9"}},".":{"*":{action_:{type_:"insert",option:"electron dot"}}},"a-z":{f:{action_:"tex-math"}},x:{"*":{action_:{type_:"insert",option:"KV 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a={d:i.go(t.d,"pu"),q:i.go(t.q,"pu")};"//"===t.o?e={type_:"pu-frac",p1:a.d,p2:a.q}:(e=a.d,a.d.length>1||a.q.length>1?e.push({type_:" / "}):e.push({type_:"/"}),i.concatArray(e,a.q))}else e=i.go(t.d,"pu-2");for(var r in t)delete t[r];return e}}},"pu-2":{transitions:i.createTransitions({empty:{"*":{action_:"output"}},"*":{"*":{action_:["output","cdot"],nextState:"0"}},"\\x":{"*":{action_:"rm="}},space:{"*":{action_:["output","space"],nextState:"0"}},"^{(...)}|^(-1)":{1:{action_:"^(-1)"}},"-9.,9":{0:{action_:"rm=",nextState:"0"},1:{action_:"^(-1)",nextState:"0"}},"{...}|else":{"*":{action_:"rm=",nextState:"1"}}}),actions:{cdot:function(){return{type_:"tight cdot"}},"^(-1)":function(t,e){t.rm+="^{"+e+"}"},space:function(){return{type_:"pu-space-2"}},output:function(t){var e=[];if(t.rm){var n=i.patterns.match_("{(...)}",t.rm||"");e=n&&""===n.remainder?i.go(n.match_,"pu"):{type_:"rm",p1:t.rm}}for(var o in t)delete t[o];return 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escape"===r.type_&&(o=!0))}return e||o||!n||(n="{"+n+"}"),n},_goInner:function(t){return t?c.go(t,!0):t},_go2:function(t){var e;switch(t.type_){case"chemfive":e="";var n={a:c._goInner(t.a),b:c._goInner(t.b),p:c._goInner(t.p),o:c._goInner(t.o),q:c._goInner(t.q),d:c._goInner(t.d)};n.a&&(n.a.match(/^[+\-]/)&&(n.a="{"+n.a+"}"),e+=n.a+"\\,"),(n.b||n.p)&&(e+="{\\vphantom{X}}",e+="^{\\hphantom{"+(n.b||"")+"}}_{\\hphantom{"+(n.p||"")+"}}",e+="{\\vphantom{X}}",e+="^{\\smash[t]{\\vphantom{2}}\\mathllap{"+(n.b||"")+"}}",e+="_{\\vphantom{2}\\mathllap{\\smash[t]{"+(n.p||"")+"}}}"),n.o&&(n.o.match(/^[+\-]/)&&(n.o="{"+n.o+"}"),e+=n.o),"kv"===t.dType?((n.d||n.q)&&(e+="{\\vphantom{X}}"),n.d&&(e+="^{"+n.d+"}"),n.q&&(e+="_{\\smash[t]{"+n.q+"}}")):"oxidation"===t.dType?(n.d&&(e+="{\\vphantom{X}}",e+="^{"+n.d+"}"),n.q&&(e+="{\\vphantom{X}}",e+="_{\\smash[t]{"+n.q+"}}")):(n.q&&(e+="{\\vphantom{X}}",e+="_{\\smash[t]{"+n.q+"}}"),n.d&&(e+="{\\vphantom{X}}",e+="^{"+n.d+"}"));break;case"rm":e="\\mathrm{"+t.p1+"}";break;case"text":t.p1.match(/[\^_]/)?(t.p1=t.p1.replace(" ","~").replace("-","\\text{-}"),e="\\mathrm{"+t.p1+"}"):e="\\text{"+t.p1+"}";break;case"roman numeral":e="\\mathrm{"+t.p1+"}";break;case"state of aggregation":e="\\mskip2mu "+c._goInner(t.p1);break;case"state of aggregation subscript":e="\\mskip1mu "+c._goInner(t.p1);break;case"bond":if(!(e=c._getBond(t.kind_)))throw["MhchemErrorBond","mhchem Error. Unknown bond type ("+t.kind_+")"];break;case"frac":var o="\\frac{"+t.p1+"}{"+t.p2+"}";e="\\mathchoice{\\textstyle"+o+"}{"+o+"}{"+o+"}{"+o+"}";break;case"pu-frac":var a="\\frac{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";e="\\mathchoice{\\textstyle"+a+"}{"+a+"}{"+a+"}{"+a+"}";break;case"tex-math":e=t.p1+" ";break;case"frac-ce":e="\\frac{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";break;case"overset":e="\\overset{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";break;case"underset":e="\\underset{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";break;case"underbrace":e="\\underbrace{"+c._goInner(t.p1)+"}_{"+c._goInner(t.p2)+"}";break;case"color":e="{\\color{"+t.color1+"}{"+c._goInner(t.color2)+"}}";break;case"color0":e="\\color{"+t.color+"}";break;case"arrow":var r={rd:c._goInner(t.rd),rq:c._goInner(t.rq)},i="\\x"+c._getArrow(t.r);r.rq&&(i+="[{"+r.rq+"}]"),e=i+=r.rd?"{"+r.rd+"}":"{}";break;case"operator":e=c._getOperator(t.kind_);break;case"1st-level escape":e=t.p1+" ";break;case"space":e=" ";break;case"entitySkip":case"pu-space-1":e="~";break;case"pu-space-2":e="\\mkern3mu ";break;case"1000 separator":e="\\mkern2mu ";break;case"commaDecimal":e="{,}";break;case"comma enumeration L":e="{"+t.p1+"}\\mkern6mu ";break;case"comma enumeration M":e="{"+t.p1+"}\\mkern3mu ";break;case"comma enumeration S":e="{"+t.p1+"}\\mkern1mu ";break;case"hyphen":e="\\text{-}";break;case"addition compound":e="\\,{\\cdot}\\,";break;case"electron dot":e="\\mkern1mu \\bullet\\mkern1mu ";break;case"KV x":e="{\\times}";break;case"prime":e="\\prime ";break;case"cdot":e="\\cdot ";break;case"tight cdot":e="\\mkern1mu{\\cdot}\\mkern1mu ";break;case"times":e="\\times ";break;case"circa":e="{\\sim}";break;case"^":e="uparrow";break;case"v":e="downarrow";break;case"ellipsis":e="\\ldots ";break;case"/":e="/";break;case" / ":e="\\,/\\,";break;default:throw["MhchemBugT","mhchem bug T. Please report."]}return e},_getArrow:function(t){switch(t){case"->":case"\u2192":case"\u27f6":return"rightarrow";case"<-":return"leftarrow";case"<->":return"leftrightarrow";case"<--\x3e":return"rightleftarrows";case"<=>":case"\u21cc":return"rightleftharpoons";case"<=>>":return"rightequilibrium";case"<<=>":return"leftequilibrium";default:throw["MhchemBugT","mhchem bug T. Please report."]}},_getBond:function(t){switch(t){case"-":case"1":return"{-}";case"=":case"2":return"{=}";case"#":case"3":return"{\\equiv}";case"~":return"{\\tripledash}";case"~-":return"{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";case"~=":case"~--":return"{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";case"-~-":return"{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";case"...":return"{{\\cdot}{\\cdot}{\\cdot}}";case"....":return"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";case"->":return"{\\rightarrow}";case"<-":return"{\\leftarrow}";case"<":return"{<}";case">":return"{>}";default:throw["MhchemBugT","mhchem bug T. Please report."]}},_getOperator:function(t){switch(t){case"+":return" {}+{} ";case"-":return" {}-{} ";case"=":return" {}={} ";case"<":return" {}<{} ";case">":return" {}>{} ";case"<<":return" {}\\ll{} ";case">>":return" {}\\gg{} ";case"\\pm":return" {}\\pm{} ";case"\\approx":case"$\\approx$":return" {}\\approx{} ";case"v":case"(v)":return" \\downarrow{} ";case"^":case"(^)":return" \\uparrow{} ";default:throw["MhchemBugT","mhchem bug T. Please report."]}}}}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/mhchem.mjs b/docs/static/katex/v0.11.1/contrib/mhchem.mjs
new file mode 100644
index 000000000..46241b5f7
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/mhchem.mjs
@@ -0,0 +1,3109 @@
+import katex from '../katex.mjs';
+
+/* eslint-disable */
+
+/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
+
+/* vim: set ts=2 et sw=2 tw=80: */
+
+/*************************************************************
+ *
+ *  KaTeX mhchem.js
+ *
+ *  This file implements a KaTeX version of mhchem version 3.3.0.
+ *  It is adapted from MathJax/extensions/TeX/mhchem.js
+ *  It differs from the MathJax version as follows:
+ *    1. The interface is changed so that it can be called from KaTeX, not MathJax.
+ *    2. \rlap and \llap are replaced with \mathrlap and \mathllap.
+ *    3. Four lines of code are edited in order to use \raisebox instead of \raise.
+ *    4. The reaction arrow code is simplified. All reaction arrows are rendered
+ *       using KaTeX extensible arrows instead of building non-extensible arrows.
+ *    5. \tripledash vertical alignment is slightly adjusted.
+ *
+ *    This code, as other KaTeX code, is released under the MIT license.
+ * 
+ * /*************************************************************
+ *
+ *  MathJax/extensions/TeX/mhchem.js
+ *
+ *  Implements the \ce command for handling chemical formulas
+ *  from the mhchem LaTeX package.
+ *
+ *  ---------------------------------------------------------------------
+ *
+ *  Copyright (c) 2011-2015 The MathJax Consortium
+ *  Copyright (c) 2015-2018 Martin Hensel
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+//
+// Coding Style
+//   - use '' for identifiers that can by minified/uglified
+//   - use "" for strings that need to stay untouched
+// version: "3.3.0" for MathJax and KaTeX
+// Add \ce, \pu, and \tripledash to the KaTeX macros.
+katex.__defineMacro("\\ce", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "ce");
+});
+
+katex.__defineMacro("\\pu", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "pu");
+}); //  Needed for \bond for the ~ forms
+//  Raise by 2.56mu, not 2mu. We're raising a hyphen-minus, U+002D, not 
+//  a mathematical minus, U+2212. So we need that extra 0.56.
+
+
+katex.__defineMacro("\\tripledash", "{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu" + "\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}");
+//  This is the main function for handing the \ce and \pu commands.
+//  It takes the argument to \ce or \pu and returns the corresponding TeX string.
+//
+
+var chemParse = function chemParse(tokens, stateMachine) {
+  // Recreate the argument string from KaTeX's array of tokens.
+  var str = "";
+  var expectedLoc = tokens[tokens.length - 1].loc.start;
+
+  for (var i = tokens.length - 1; i >= 0; i--) {
+    if (tokens[i].loc.start > expectedLoc) {
+      // context.consumeArgs has eaten a space.
+      str += " ";
+      expectedLoc = tokens[i].loc.start;
+    }
+
+    str += tokens[i].text;
+    expectedLoc += tokens[i].text.length;
+  }
+
+  var tex = texify.go(mhchemParser.go(str, stateMachine));
+  return tex;
+}; //
+// Core parser for mhchem syntax  (recursive)
+//
+
+/** @type {MhchemParser} */
+
+
+var mhchemParser = {
+  //
+  // Parses mchem \ce syntax
+  //
+  // Call like
+  //   go("H2O");
+  //
+  go: function go(input, stateMachine) {
+    if (!input) {
+      return [];
+    }
+
+    if (stateMachine === undefined) {
+      stateMachine = 'ce';
+    }
+
+    var state = '0'; //
+    // String buffers for parsing:
+    //
+    // buffer.a == amount
+    // buffer.o == element
+    // buffer.b == left-side superscript
+    // buffer.p == left-side subscript
+    // buffer.q == right-side subscript
+    // buffer.d == right-side superscript
+    //
+    // buffer.r == arrow
+    // buffer.rdt == arrow, script above, type
+    // buffer.rd == arrow, script above, content
+    // buffer.rqt == arrow, script below, type
+    // buffer.rq == arrow, script below, content
+    //
+    // buffer.text_
+    // buffer.rm
+    // etc.
+    //
+    // buffer.parenthesisLevel == int, starting at 0
+    // buffer.sb == bool, space before
+    // buffer.beginsWithBond == bool
+    //
+    // These letters are also used as state names.
+    //
+    // Other states:
+    // 0 == begin of main part (arrow/operator unlikely)
+    // 1 == next entity
+    // 2 == next entity (arrow/operator unlikely)
+    // 3 == next atom
+    // c == macro
+    //
+
+    /** @type {Buffer} */
+
+    var buffer = {};
+    buffer['parenthesisLevel'] = 0;
+    input = input.replace(/\n/g, " ");
+    input = input.replace(/[\u2212\u2013\u2014\u2010]/g, "-");
+    input = input.replace(/[\u2026]/g, "..."); //
+    // Looks through mhchemParser.transitions, to execute a matching action
+    // (recursive)
+    //
+
+    var lastInput;
+    var watchdog = 10;
+    /** @type {ParserOutput[]} */
+
+    var output = [];
+
+    while (true) {
+      if (lastInput !== input) {
+        watchdog = 10;
+        lastInput = input;
+      } else {
+        watchdog--;
+      } //
+      // Find actions in transition table
+      //
+
+
+      var machine = mhchemParser.stateMachines[stateMachine];
+      var t = machine.transitions[state] || machine.transitions['*'];
+
+      iterateTransitions: for (var i = 0; i < t.length; i++) {
+        var matches = mhchemParser.patterns.match_(t[i].pattern, input);
+
+        if (matches) {
+          //
+          // Execute actions
+          //
+          var task = t[i].task;
+
+          for (var iA = 0; iA < task.action_.length; iA++) {
+            var o; //
+            // Find and execute action
+            //
+
+            if (machine.actions[task.action_[iA].type_]) {
+              o = machine.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else if (mhchemParser.actions[task.action_[iA].type_]) {
+              o = mhchemParser.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else {
+              throw ["MhchemBugA", "mhchem bug A. Please report. (" + task.action_[iA].type_ + ")"]; // Trying to use non-existing action
+            } //
+            // Add output
+            //
+
+
+            mhchemParser.concatArray(output, o);
+          } //
+          // Set next state,
+          // Shorten input,
+          // Continue with next character
+          //   (= apply only one transition per position)
+          //
+
+
+          state = task.nextState || state;
+
+          if (input.length > 0) {
+            if (!task.revisit) {
+              input = matches.remainder;
+            }
+
+            if (!task.toContinue) {
+              break iterateTransitions;
+            }
+          } else {
+            return output;
+          }
+        }
+      } //
+      // Prevent infinite loop
+      //
+
+
+      if (watchdog <= 0) {
+        throw ["MhchemBugU", "mhchem bug U. Please report."]; // Unexpected character
+      }
+    }
+  },
+  concatArray: function concatArray(a, b) {
+    if (b) {
+      if (Array.isArray(b)) {
+        for (var iB = 0; iB < b.length; iB++) {
+          a.push(b[iB]);
+        }
+      } else {
+        a.push(b);
+      }
+    }
+  },
+  patterns: {
+    //
+    // Matching patterns
+    // either regexps or function that return null or {match_:"a", remainder:"bc"}
+    //
+    patterns: {
+      // property names must not look like integers ("2") for correct property traversal order, later on
+      'empty': /^$/,
+      'else': /^./,
+      'else2': /^./,
+      'space': /^\s/,
+      'space A': /^\s(?=[A-Z\\$])/,
+      'space$': /^\s$/,
+      'a-z': /^[a-z]/,
+      'x': /^x/,
+      'x$': /^x$/,
+      'i$': /^i$/,
+      'letters': /^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,
+      '\\greek': /^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,
+      'one lowercase latin letter $': /^(?:([a-z])(?:$|[^a-zA-Z]))$/,
+      '$one lowercase latin letter$ $': /^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,
+      'one lowercase greek letter $': /^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,
+      'digits': /^[0-9]+/,
+      '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,
+      '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
+      '(-)(9.,9)(e)(99)': function e99(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '(-)(9)^(-9)': function _(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      'state of aggregation $': function stateOfAggregation$(input) {
+        // ... or crystal system
+        var a = mhchemParser.patterns.findObserveGroups(input, "", /^\([a-z]{1,3}(?=[\),])/, ")", ""); // (aq), (aq,$\infty$), (aq, sat)
+
+        if (a && a.remainder.match(/^($|[\s,;\)\]\}])/)) {
+          return a;
+        } //  AND end of 'phrase'
+
+
+        var m = input.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/); // OR crystal system ($o$) (\ca$c$)
+
+        if (m) {
+          return {
+            match_: m[0],
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '_{(state of aggregation)}$': /^_\{(\([a-z]{1,3}\))\}/,
+      '{[(': /^(?:\\\{|\[|\()/,
+      ')]}': /^(?:\)|\]|\\\})/,
+      ', ': /^[,;]\s*/,
+      ',': /^[,;]/,
+      '.': /^[.]/,
+      '. ': /^([.\u22C5\u00B7\u2022])\s*/,
+      '...': /^\.\.\.(?=$|[^.])/,
+      '* ': /^([*])\s*/,
+      '^{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^{", "", "", "}");
+      },
+      '^($...$)': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", "$", "$", "");
+      },
+      '^a': /^\^([0-9]+|[^\\_])/,
+      '^\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '^\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '^\\x': /^\^(\\[a-zA-Z]+)\s*/,
+      '^(-1)': /^\^(-?\d+)/,
+      '\'': /^'/,
+      '_{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_{", "", "", "}");
+      },
+      '_($...$)': function _$$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", "$", "$", "");
+      },
+      '_9': /^_([+\-]?[0-9]+|[^\\])/,
+      '_\\x{}{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '_\\x{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '_\\x': /^_(\\[a-zA-Z]+)\s*/,
+      '^_': /^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,
+      '{}': /^\{\}/,
+      '{...}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "{", "}", "");
+      },
+      '{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "{", "", "", "}");
+      },
+      '$...$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+      },
+      '${(...)}$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "${", "", "", "}$");
+      },
+      '$(...)$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "$", "", "", "$");
+      },
+      '=<>': /^[=<>]/,
+      '#': /^[#\u2261]/,
+      '+': /^\+/,
+      '-$': /^-(?=[\s_},;\]/]|$|\([a-z]+\))/,
+      // -space -, -; -] -/ -$ -state-of-aggregation
+      '-9': /^-(?=[0-9])/,
+      '- orbital overlap': /^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,
+      '-': /^-/,
+      'pm-operator': /^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,
+      'operator': /^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,
+      'arrowUpDown': /^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,
+      '\\bond{(...)}': function bond(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\bond{", "", "", "}");
+      },
+      '->': /^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,
+      'CMT': /^[CMT](?=\[)/,
+      '[(...)]': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "[", "", "", "]");
+      },
+      '1st-level escape': /^(&|\\\\|\\hline)\s*/,
+      '\\,': /^(?:\\[,\ ;:])/,
+      // \\x - but output no space before
+      '\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '\\ca': /^\\ca(?:\s+|(?![a-zA-Z]))/,
+      '\\x': /^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,
+      'orbital': /^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,
+      // only those with numbers in front, because the others will be formatted correctly anyway
+      'others': /^[\/~|]/,
+      '\\frac{(...)}': function frac(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\frac{", "", "", "}", "{", "", "", "}");
+      },
+      '\\overset{(...)}': function overset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\overset{", "", "", "}", "{", "", "", "}");
+      },
+      '\\underset{(...)}': function underset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underset{", "", "", "}", "{", "", "", "}");
+      },
+      '\\underbrace{(...)}': function underbrace(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underbrace{", "", "", "}_", "{", "", "", "}");
+      },
+      '\\color{(...)}0': function color0(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}");
+      },
+      '\\color{(...)}{(...)}1': function color1(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}", "{", "", "", "}");
+      },
+      '\\color(...){(...)}2': function color2(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color", "\\", "", /^(?=\{)/, "{", "", "", "}");
+      },
+      '\\ce{(...)}': function ce(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\ce{", "", "", "}");
+      },
+      'oxidation$': /^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      'd-oxidation$': /^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      // 0 could be oxidation or charge
+      'roman numeral': /^[IVX]+/,
+      '1/2$': /^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,
+      'amount': function amount(input) {
+        var match; // e.g. 2, 0.5, 1/2, -2, n/2, +;  $a$ could be added later in parsing
+
+        match = input.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        var a = mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+
+        if (a) {
+          // e.g. $2n-1$, $-$
+          match = a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/);
+
+          if (match) {
+            return {
+              match_: match[0],
+              remainder: input.substr(match[0].length)
+            };
+          }
+        }
+
+        return null;
+      },
+      'amount2': function amount2(input) {
+        return this['amount'](input);
+      },
+      '(KV letters),': /^(?:[A-Z][a-z]{0,2}|i)(?=,)/,
+      'formula$': function formula$(input) {
+        if (input.match(/^\([a-z]+\)$/)) {
+          return null;
+        } // state of aggregation = no formula
+
+
+        var match = input.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      },
+      'uprightEntities': /^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,
+      '/': /^\s*(\/)\s*/,
+      '//': /^\s*(\/\/)\s*/,
+      '*': /^\s*[*.]\s*/
+    },
+    findObserveGroups: function findObserveGroups(input, begExcl, begIncl, endIncl, endExcl, beg2Excl, beg2Incl, end2Incl, end2Excl, combine) {
+      /** @type {{(input: string, pattern: string | RegExp): string | string[] | null;}} */
+      var _match = function _match(input, pattern) {
+        if (typeof pattern === "string") {
+          if (input.indexOf(pattern) !== 0) {
+            return null;
+          }
+
+          return pattern;
+        } else {
+          var match = input.match(pattern);
+
+          if (!match) {
+            return null;
+          }
+
+          return match[0];
+        }
+      };
+      /** @type {{(input: string, i: number, endChars: string | RegExp): {endMatchBegin: number, endMatchEnd: number} | null;}} */
+
+
+      var _findObserveGroups = function _findObserveGroups(input, i, endChars) {
+        var braces = 0;
+
+        while (i < input.length) {
+          var a = input.charAt(i);
+
+          var match = _match(input.substr(i), endChars);
+
+          if (match !== null && braces === 0) {
+            return {
+              endMatchBegin: i,
+              endMatchEnd: i + match.length
+            };
+          } else if (a === "{") {
+            braces++;
+          } else if (a === "}") {
+            if (braces === 0) {
+              throw ["ExtraCloseMissingOpen", "Extra close brace or missing open brace"];
+            } else {
+              braces--;
+            }
+          }
+
+          i++;
+        }
+
+        if (braces > 0) {
+          return null;
+        }
+
+        return null;
+      };
+
+      var match = _match(input, begExcl);
+
+      if (match === null) {
+        return null;
+      }
+
+      input = input.substr(match.length);
+      match = _match(input, begIncl);
+
+      if (match === null) {
+        return null;
+      }
+
+      var e = _findObserveGroups(input, match.length, endIncl || endExcl);
+
+      if (e === null) {
+        return null;
+      }
+
+      var match1 = input.substring(0, endIncl ? e.endMatchEnd : e.endMatchBegin);
+
+      if (!(beg2Excl || beg2Incl)) {
+        return {
+          match_: match1,
+          remainder: input.substr(e.endMatchEnd)
+        };
+      } else {
+        var group2 = this.findObserveGroups(input.substr(e.endMatchEnd), beg2Excl, beg2Incl, end2Incl, end2Excl);
+
+        if (group2 === null) {
+          return null;
+        }
+        /** @type {string[]} */
+
+
+        var matchRet = [match1, group2.match_];
+        return {
+          match_: combine ? matchRet.join("") : matchRet,
+          remainder: group2.remainder
+        };
+      }
+    },
+    //
+    // Matching function
+    // e.g. match("a", input) will look for the regexp called "a" and see if it matches
+    // returns null or {match_:"a", remainder:"bc"}
+    //
+    match_: function match_(m, input) {
+      var pattern = mhchemParser.patterns.patterns[m];
+
+      if (pattern === undefined) {
+        throw ["MhchemBugP", "mhchem bug P. Please report. (" + m + ")"]; // Trying to use non-existing pattern
+      } else if (typeof pattern === "function") {
+        return mhchemParser.patterns.patterns[m](input); // cannot use cached var pattern here, because some pattern functions need this===mhchemParser
+      } else {
+        // RegExp
+        var match = input.match(pattern);
+
+        if (match) {
+          var mm;
+
+          if (match[2]) {
+            mm = [match[1], match[2]];
+          } else if (match[1]) {
+            mm = match[1];
+          } else {
+            mm = match[0];
+          }
+
+          return {
+            match_: mm,
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      }
+    }
+  },
+  //
+  // Generic state machine actions
+  //
+  actions: {
+    'a=': function a(buffer, m) {
+      buffer.a = (buffer.a || "") + m;
+    },
+    'b=': function b(buffer, m) {
+      buffer.b = (buffer.b || "") + m;
+    },
+    'p=': function p(buffer, m) {
+      buffer.p = (buffer.p || "") + m;
+    },
+    'o=': function o(buffer, m) {
+      buffer.o = (buffer.o || "") + m;
+    },
+    'q=': function q(buffer, m) {
+      buffer.q = (buffer.q || "") + m;
+    },
+    'd=': function d(buffer, m) {
+      buffer.d = (buffer.d || "") + m;
+    },
+    'rm=': function rm(buffer, m) {
+      buffer.rm = (buffer.rm || "") + m;
+    },
+    'text=': function text(buffer, m) {
+      buffer.text_ = (buffer.text_ || "") + m;
+    },
+    'insert': function insert(buffer, m, a) {
+      return {
+        type_: a
+      };
+    },
+    'insert+p1': function insertP1(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m
+      };
+    },
+    'insert+p1+p2': function insertP1P2(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m[0],
+        p2: m[1]
+      };
+    },
+    'copy': function copy(buffer, m) {
+      return m;
+    },
+    'rm': function rm(buffer, m) {
+      return {
+        type_: 'rm',
+        p1: m || ""
+      };
+    },
+    'text': function text(buffer, m) {
+      return mhchemParser.go(m, 'text');
+    },
+    '{text}': function text(buffer, m) {
+      var ret = ["{"];
+      mhchemParser.concatArray(ret, mhchemParser.go(m, 'text'));
+      ret.push("}");
+      return ret;
+    },
+    'tex-math': function texMath(buffer, m) {
+      return mhchemParser.go(m, 'tex-math');
+    },
+    'tex-math tight': function texMathTight(buffer, m) {
+      return mhchemParser.go(m, 'tex-math tight');
+    },
+    'bond': function bond(buffer, m, k) {
+      return {
+        type_: 'bond',
+        kind_: k || m
+      };
+    },
+    'color0-output': function color0Output(buffer, m) {
+      return {
+        type_: 'color0',
+        color: m[0]
+      };
+    },
+    'ce': function ce(buffer, m) {
+      return mhchemParser.go(m);
+    },
+    '1/2': function _(buffer, m) {
+      /** @type {ParserOutput[]} */
+      var ret = [];
+
+      if (m.match(/^[+\-]/)) {
+        ret.push(m.substr(0, 1));
+        m = m.substr(1);
+      }
+
+      var n = m.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/);
+      n[1] = n[1].replace(/\$/g, "");
+      ret.push({
+        type_: 'frac',
+        p1: n[1],
+        p2: n[2]
+      });
+
+      if (n[3]) {
+        n[3] = n[3].replace(/\$/g, "");
+        ret.push({
+          type_: 'tex-math',
+          p1: n[3]
+        });
+      }
+
+      return ret;
+    },
+    '9,9': function _(buffer, m) {
+      return mhchemParser.go(m, '9,9');
+    }
+  },
+  //
+  // createTransitions
+  // convert  { 'letter': { 'state': { action_: 'output' } } }  to  { 'state' => [ { pattern: 'letter', task: { action_: [{type_: 'output'}] } } ] }
+  // with expansion of 'a|b' to 'a' and 'b' (at 2 places)
+  //
+  createTransitions: function createTransitions(o) {
+    var pattern, state;
+    /** @type {string[]} */
+
+    var stateArray;
+    var i; //
+    // 1. Collect all states
+    //
+
+    /** @type {Transitions} */
+
+    var transitions = {};
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = state.split("|");
+        o[pattern][state].stateArray = stateArray;
+
+        for (i = 0; i < stateArray.length; i++) {
+          transitions[stateArray[i]] = [];
+        }
+      }
+    } //
+    // 2. Fill states
+    //
+
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = o[pattern][state].stateArray || [];
+
+        for (i = 0; i < stateArray.length; i++) {
+          //
+          // 2a. Normalize actions into array:  'text=' ==> [{type_:'text='}]
+          // (Note to myself: Resolving the function here would be problematic. It would need .bind (for *this*) and currying (for *option*).)
+          //
+
+          /** @type {any} */
+          var p = o[pattern][state];
+
+          if (p.action_) {
+            p.action_ = [].concat(p.action_);
+
+            for (var k = 0; k < p.action_.length; k++) {
+              if (typeof p.action_[k] === "string") {
+                p.action_[k] = {
+                  type_: p.action_[k]
+                };
+              }
+            }
+          } else {
+            p.action_ = [];
+          } //
+          // 2.b Multi-insert
+          //
+
+
+          var patternArray = pattern.split("|");
+
+          for (var j = 0; j < patternArray.length; j++) {
+            if (stateArray[i] === '*') {
+              // insert into all
+              for (var t in transitions) {
+                transitions[t].push({
+                  pattern: patternArray[j],
+                  task: p
+                });
+              }
+            } else {
+              transitions[stateArray[i]].push({
+                pattern: patternArray[j],
+                task: p
+              });
+            }
+          }
+        }
+      }
+    }
+
+    return transitions;
+  },
+  stateMachines: {}
+}; //
+// Definition of state machines
+//
+
+mhchemParser.stateMachines = {
+  //
+  // \ce state machines
+  //
+  //#region ce
+  'ce': {
+    // main parser
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'else': {
+        '0|1|2': {
+          action_: 'beginsWithBond=false',
+          revisit: true,
+          toContinue: true
+        }
+      },
+      'oxidation$': {
+        '0': {
+          action_: 'oxidation-output'
+        }
+      },
+      'CMT': {
+        'r': {
+          action_: 'rdt=',
+          nextState: 'rt'
+        },
+        'rd': {
+          action_: 'rqt=',
+          nextState: 'rdt'
+        }
+      },
+      'arrowUpDown': {
+        '0|1|2|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '1'
+        }
+      },
+      'uprightEntities': {
+        '0|1|2': {
+          action_: ['o=', 'output'],
+          nextState: '1'
+        }
+      },
+      'orbital': {
+        '0|1|2|3': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      '->': {
+        '0|1|2|3': {
+          action_: 'r=',
+          nextState: 'r'
+        },
+        'a|as': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        },
+        '*': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        }
+      },
+      '+': {
+        'o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'd|D': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd|qD': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        },
+        '3': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      'amount': {
+        '0|2': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'pm-operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', {
+            type_: 'operator',
+            option: '\\pm'
+          }],
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      '-$': {
+        'o|q': {
+          action_: ['charge or bond', 'output'],
+          nextState: 'qd'
+        },
+        'd': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'D': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qD|dq': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      '-9': {
+        '3|o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '3'
+        }
+      },
+      '- orbital overlap': {
+        'o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'd': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        }
+      },
+      '-': {
+        '0|1|2': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'beginsWithBond=true', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        '3': {
+          action_: {
+            type_: 'bond',
+            option: "-"
+          }
+        },
+        'a': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'as': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'b': {
+          action_: 'b='
+        },
+        'o': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'q': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'd|qd|dq': {
+          action_: {
+            type_: '- after o/d',
+            option: true
+          },
+          nextState: '2'
+        },
+        'D|qD|p': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      'amount2': {
+        '1|3': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'letters': {
+        '0|1|2|3|a|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'q|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'd|D|qd|qD': {
+          action_: 'o after d',
+          nextState: 'o'
+        }
+      },
+      'digits': {
+        'o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'a': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      'space A': {
+        'b|p|bp': {}
+      },
+      'space': {
+        'a': {
+          nextState: 'as'
+        },
+        '0': {
+          action_: 'sb=false'
+        },
+        '1|2': {
+          action_: 'sb=true'
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: 'output',
+          nextState: '0'
+        },
+        '*': {
+          action_: ['output', 'sb=true'],
+          nextState: '1'
+        }
+      },
+      '1st-level escape': {
+        '1|2': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }]
+        },
+        '*': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }],
+          nextState: '0'
+        }
+      },
+      '[(...)]': {
+        'r|rt': {
+          action_: 'rd=',
+          nextState: 'rd'
+        },
+        'rd|rdt': {
+          action_: 'rq=',
+          nextState: 'rdq'
+        }
+      },
+      '...': {
+        'o|d|D|dq|qd|qD': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "..."
+          }],
+          nextState: '3'
+        },
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, {
+            type_: 'insert',
+            option: 'ellipsis'
+          }],
+          nextState: '1'
+        }
+      },
+      '. |* ': {
+        '*': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'addition compound'
+          }],
+          nextState: '1'
+        }
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: ['output', 'state of aggregation'],
+          nextState: '1'
+        }
+      },
+      '{[(': {
+        'a|as|o': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '0|1|2|3': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        }
+      },
+      ')]}': {
+        '0|1|2|3|b|p|bp|o': {
+          action_: ['o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        },
+        'a|as|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        }
+      },
+      ', ': {
+        '*': {
+          action_: ['output', 'comma'],
+          nextState: '0'
+        }
+      },
+      '^_': {
+        // ^ and _ without a sensible argument
+        '*': {}
+      },
+      '^{(...)}|^($...$)': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'D'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qD'
+        },
+        'd|D|qd|qD|dq': {
+          action_: ['output', 'd='],
+          nextState: 'D'
+        }
+      },
+      '^a|^\\x{}{}|^\\x{}|^\\x|\'': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'd|qd|D|qD': {
+          action_: 'd='
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        }
+      },
+      '_{(state of aggregation)}$': {
+        'd|D|q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x': {
+        '0|1|2|as': {
+          action_: 'p=',
+          nextState: 'p'
+        },
+        'b': {
+          action_: 'p=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '=<>': {
+        '0|1|2|3|a|as|o|q|d|D|qd|qD|dq': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: '3'
+        }
+      },
+      '#': {
+        '0|1|2|3|a|as|o': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "#"
+          }],
+          nextState: '3'
+        }
+      },
+      '{}': {
+        '*': {
+          action_: {
+            type_: 'output',
+            option: 1
+          },
+          nextState: '1'
+        }
+      },
+      '{...}': {
+        '0|1|2|3|a|as|b|p|bp': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'o|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '$...$': {
+        'a': {
+          action_: 'a='
+        },
+        // 2$n$
+        '0|1|2|3|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        // not 'amount'
+        'as|o': {
+          action_: 'o='
+        },
+        'q|d|D|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '\\bond{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: "3"
+        }
+      },
+      '\\frac{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'frac-output'],
+          nextState: '3'
+        }
+      },
+      '\\overset{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'overset-output'],
+          nextState: '3'
+        }
+      },
+      '\\underset{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underset-output'],
+          nextState: '3'
+        }
+      },
+      '\\underbrace{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underbrace-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color0-output']
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'ce'],
+          nextState: '3'
+        }
+      },
+      '\\,': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '1'
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '0|1|2|3|a|as|b|p|bp|o|c0': {
+          action_: ['o=', 'output'],
+          nextState: '3'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output'],
+          nextState: '3'
+        }
+      },
+      'others': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '3'
+        }
+      },
+      'else2': {
+        'a': {
+          action_: 'a to o',
+          nextState: 'o',
+          revisit: true
+        },
+        'as': {
+          action_: ['output', 'sb=true'],
+          nextState: '1',
+          revisit: true
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: ['output'],
+          nextState: '0',
+          revisit: true
+        },
+        '*': {
+          action_: ['output', 'copy'],
+          nextState: '3'
+        }
+      }
+    }),
+    actions: {
+      'o after d': function oAfterD(buffer, m) {
+        var ret;
+
+        if ((buffer.d || "").match(/^[0-9]+$/)) {
+          var tmp = buffer.d;
+          buffer.d = undefined;
+          ret = this['output'](buffer);
+          buffer.b = tmp;
+        } else {
+          ret = this['output'](buffer);
+        }
+
+        mhchemParser.actions['o='](buffer, m);
+        return ret;
+      },
+      'd= kv': function dKv(buffer, m) {
+        buffer.d = m;
+        buffer.dType = 'kv';
+      },
+      'charge or bond': function chargeOrBond(buffer, m) {
+        if (buffer['beginsWithBond']) {
+          /** @type {ParserOutput[]} */
+          var ret = [];
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          return ret;
+        } else {
+          buffer.d = m;
+        }
+      },
+      '- after o/d': function afterOD(buffer, m, isAfterD) {
+        var c1 = mhchemParser.patterns.match_('orbital', buffer.o || "");
+        var c2 = mhchemParser.patterns.match_('one lowercase greek letter $', buffer.o || "");
+        var c3 = mhchemParser.patterns.match_('one lowercase latin letter $', buffer.o || "");
+        var c4 = mhchemParser.patterns.match_('$one lowercase latin letter$ $', buffer.o || "");
+        var hyphenFollows = m === "-" && (c1 && c1.remainder === "" || c2 || c3 || c4);
+
+        if (hyphenFollows && !buffer.a && !buffer.b && !buffer.p && !buffer.d && !buffer.q && !c1 && c3) {
+          buffer.o = '$' + buffer.o + '$';
+        }
+        /** @type {ParserOutput[]} */
+
+
+        var ret = [];
+
+        if (hyphenFollows) {
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          ret.push({
+            type_: 'hyphen'
+          });
+        } else {
+          c1 = mhchemParser.patterns.match_('digits', buffer.d || "");
+
+          if (isAfterD && c1 && c1.remainder === '') {
+            mhchemParser.concatArray(ret, mhchemParser.actions['d='](buffer, m));
+            mhchemParser.concatArray(ret, this['output'](buffer));
+          } else {
+            mhchemParser.concatArray(ret, this['output'](buffer));
+            mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          }
+        }
+
+        return ret;
+      },
+      'a to o': function aToO(buffer) {
+        buffer.o = buffer.a;
+        buffer.a = undefined;
+      },
+      'sb=true': function sbTrue(buffer) {
+        buffer.sb = true;
+      },
+      'sb=false': function sbFalse(buffer) {
+        buffer.sb = false;
+      },
+      'beginsWithBond=true': function beginsWithBondTrue(buffer) {
+        buffer['beginsWithBond'] = true;
+      },
+      'beginsWithBond=false': function beginsWithBondFalse(buffer) {
+        buffer['beginsWithBond'] = false;
+      },
+      'parenthesisLevel++': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']++;
+      },
+      'parenthesisLevel--': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']--;
+      },
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'comma': function comma(buffer, m) {
+        var a = m.replace(/\s*$/, '');
+        var withSpace = a !== m;
+
+        if (withSpace && buffer['parenthesisLevel'] === 0) {
+          return {
+            type_: 'comma enumeration L',
+            p1: a
+          };
+        } else {
+          return {
+            type_: 'comma enumeration M',
+            p1: a
+          };
+        }
+      },
+      'output': function output(buffer, m, entityFollows) {
+        // entityFollows:
+        //   undefined = if we have nothing else to output, also ignore the just read space (buffer.sb)
+        //   1 = an entity follows, never omit the space if there was one just read before (can only apply to state 1)
+        //   2 = 1 + the entity can have an amount, so output a\, instead of converting it to o (can only apply to states a|as)
+
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+
+        if (!buffer.r) {
+          ret = [];
+
+          if (!buffer.a && !buffer.b && !buffer.p && !buffer.o && !buffer.q && !buffer.d && !entityFollows) ; else {
+            if (buffer.sb) {
+              ret.push({
+                type_: 'entitySkip'
+              });
+            }
+
+            if (!buffer.o && !buffer.q && !buffer.d && !buffer.b && !buffer.p && entityFollows !== 2) {
+              buffer.o = buffer.a;
+              buffer.a = undefined;
+            } else if (!buffer.o && !buffer.q && !buffer.d && (buffer.b || buffer.p)) {
+              buffer.o = buffer.a;
+              buffer.d = buffer.b;
+              buffer.q = buffer.p;
+              buffer.a = buffer.b = buffer.p = undefined;
+            } else {
+              if (buffer.o && buffer.dType === 'kv' && mhchemParser.patterns.match_('d-oxidation$', buffer.d || "")) {
+                buffer.dType = 'oxidation';
+              } else if (buffer.o && buffer.dType === 'kv' && !buffer.q) {
+                buffer.dType = undefined;
+              }
+            }
+
+            ret.push({
+              type_: 'chemfive',
+              a: mhchemParser.go(buffer.a, 'a'),
+              b: mhchemParser.go(buffer.b, 'bd'),
+              p: mhchemParser.go(buffer.p, 'pq'),
+              o: mhchemParser.go(buffer.o, 'o'),
+              q: mhchemParser.go(buffer.q, 'pq'),
+              d: mhchemParser.go(buffer.d, buffer.dType === 'oxidation' ? 'oxidation' : 'bd'),
+              dType: buffer.dType
+            });
+          }
+        } else {
+          // r
+
+          /** @type {ParserOutput[]} */
+          var rd;
+
+          if (buffer.rdt === 'M') {
+            rd = mhchemParser.go(buffer.rd, 'tex-math');
+          } else if (buffer.rdt === 'T') {
+            rd = [{
+              type_: 'text',
+              p1: buffer.rd || ""
+            }];
+          } else {
+            rd = mhchemParser.go(buffer.rd);
+          }
+          /** @type {ParserOutput[]} */
+
+
+          var rq;
+
+          if (buffer.rqt === 'M') {
+            rq = mhchemParser.go(buffer.rq, 'tex-math');
+          } else if (buffer.rqt === 'T') {
+            rq = [{
+              type_: 'text',
+              p1: buffer.rq || ""
+            }];
+          } else {
+            rq = mhchemParser.go(buffer.rq);
+          }
+
+          ret = {
+            type_: 'arrow',
+            r: buffer.r,
+            rd: rd,
+            rq: rq
+          };
+        }
+
+        for (var p in buffer) {
+          if (p !== 'parenthesisLevel' && p !== 'beginsWithBond') {
+            delete buffer[p];
+          }
+        }
+
+        return ret;
+      },
+      'oxidation-output': function oxidationOutput(buffer, m) {
+        var ret = ["{"];
+        mhchemParser.concatArray(ret, mhchemParser.go(m, 'oxidation'));
+        ret.push("}");
+        return ret;
+      },
+      'frac-output': function fracOutput(buffer, m) {
+        return {
+          type_: 'frac-ce',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'overset-output': function oversetOutput(buffer, m) {
+        return {
+          type_: 'overset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underset-output': function undersetOutput(buffer, m) {
+        return {
+          type_: 'underset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underbrace-output': function underbraceOutput(buffer, m) {
+        return {
+          type_: 'underbrace',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1])
+        };
+      },
+      'r=': function r(buffer, m) {
+        buffer.r = m;
+      },
+      'rdt=': function rdt(buffer, m) {
+        buffer.rdt = m;
+      },
+      'rd=': function rd(buffer, m) {
+        buffer.rd = m;
+      },
+      'rqt=': function rqt(buffer, m) {
+        buffer.rqt = m;
+      },
+      'rq=': function rq(buffer, m) {
+        buffer.rq = m;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      }
+    }
+  },
+  'a': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      '$(...)$': {
+        '*': {
+          action_: 'tex-math tight',
+          nextState: '1'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'commaDecimal'
+          }
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'o': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\\ca': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'circa'
+          }
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: '{text}'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'text': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '{...}': {
+        '*': {
+          action_: 'text='
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '\\greek': {
+        '*': {
+          action_: ['output', 'rm']
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: ['output', 'copy']
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.text_) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'text',
+            p1: buffer.text_
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'pq': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: 'state of aggregation'
+        }
+      },
+      'i$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '(KV letters),': {
+        '0': {
+          action_: 'rm',
+          nextState: '0'
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '-9.,9': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert+p1',
+            option: 'comma enumeration S'
+          }
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation subscript',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'pq')
+        };
+      }
+    }
+  },
+  'bd': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'x$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '-9.,9 no missing 0': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      '.': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'electron dot'
+          }
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'x': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'KV x'
+          }
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\'': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'prime'
+          }
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'bd')
+        };
+      }
+    }
+  },
+  'oxidation': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'roman numeral': {
+        '*': {
+          action_: 'roman-numeral'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'roman-numeral': function romanNumeral(buffer, m) {
+        return {
+          type_: 'roman numeral',
+          p1: m || ""
+        };
+      }
+    }
+  },
+  'tex-math': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'tex-math tight': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      '-|+': {
+        '*': {
+          action_: 'tight operator'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'tight operator': function tightOperator(buffer, m) {
+        buffer.o = (buffer.o || "") + "{" + m + "}";
+      },
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  '9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      ',': {
+        '*': {
+          action_: 'comma'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      }
+    }
+  },
+  //#endregion
+  //
+  // \pu state machines
+  //
+  //#region pu
+  'pu': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'space$': {
+        '*': {
+          action_: ['output', 'space']
+        }
+      },
+      '{[(|)]}': {
+        '0|a': {
+          action_: 'copy'
+        }
+      },
+      '(-)(9)^(-9)': {
+        '0': {
+          action_: 'number^',
+          nextState: 'a'
+        }
+      },
+      '(-)(9.,9)(e)(99)': {
+        '0': {
+          action_: 'enumber',
+          nextState: 'a'
+        }
+      },
+      'space': {
+        '0|a': {}
+      },
+      'pm-operator': {
+        '0|a': {
+          action_: {
+            type_: 'operator',
+            option: '\\pm'
+          },
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|a': {
+          action_: 'copy',
+          nextState: '0'
+        }
+      },
+      '//': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '/': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '{...}|else': {
+        '0|d': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'a': {
+          action_: ['space', 'd='],
+          nextState: 'd'
+        },
+        '/|q': {
+          action_: 'q=',
+          nextState: 'q'
+        }
+      }
+    }),
+    actions: {
+      'enumber': function enumber(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        if (m[1]) {
+          mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+
+          if (m[2]) {
+            if (m[2].match(/[,.]/)) {
+              mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9'));
+            } else {
+              ret.push(m[2]);
+            }
+          }
+
+          m[3] = m[4] || m[3];
+
+          if (m[3]) {
+            m[3] = m[3].trim();
+
+            if (m[3] === "e" || m[3].substr(0, 1) === "*") {
+              ret.push({
+                type_: 'cdot'
+              });
+            } else {
+              ret.push({
+                type_: 'times'
+              });
+            }
+          }
+        }
+
+        if (m[3]) {
+          ret.push("10^{" + m[5] + "}");
+        }
+
+        return ret;
+      },
+      'number^': function number(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+        ret.push("^{" + m[2] + "}");
+        return ret;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-1'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+        var md = mhchemParser.patterns.match_('{(...)}', buffer.d || "");
+
+        if (md && md.remainder === '') {
+          buffer.d = md.match_;
+        }
+
+        var mq = mhchemParser.patterns.match_('{(...)}', buffer.q || "");
+
+        if (mq && mq.remainder === '') {
+          buffer.q = mq.match_;
+        }
+
+        if (buffer.d) {
+          buffer.d = buffer.d.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.d = buffer.d.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+        }
+
+        if (buffer.q) {
+          // fraction
+          buffer.q = buffer.q.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.q = buffer.q.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+          var b5 = {
+            d: mhchemParser.go(buffer.d, 'pu'),
+            q: mhchemParser.go(buffer.q, 'pu')
+          };
+
+          if (buffer.o === '//') {
+            ret = {
+              type_: 'pu-frac',
+              p1: b5.d,
+              p2: b5.q
+            };
+          } else {
+            ret = b5.d;
+
+            if (b5.d.length > 1 || b5.q.length > 1) {
+              ret.push({
+                type_: ' / '
+              });
+            } else {
+              ret.push({
+                type_: '/'
+              });
+            }
+
+            mhchemParser.concatArray(ret, b5.q);
+          }
+        } else {
+          // no fraction
+          ret = mhchemParser.go(buffer.d, 'pu-2');
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-2': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '*': {
+        '*': {
+          action_: ['output', 'cdot'],
+          nextState: '0'
+        }
+      },
+      '\\x': {
+        '*': {
+          action_: 'rm='
+        }
+      },
+      'space': {
+        '*': {
+          action_: ['output', 'space'],
+          nextState: '0'
+        }
+      },
+      '^{(...)}|^(-1)': {
+        '1': {
+          action_: '^(-1)'
+        }
+      },
+      '-9.,9': {
+        '0': {
+          action_: 'rm=',
+          nextState: '0'
+        },
+        '1': {
+          action_: '^(-1)',
+          nextState: '0'
+        }
+      },
+      '{...}|else': {
+        '*': {
+          action_: 'rm=',
+          nextState: '1'
+        }
+      }
+    }),
+    actions: {
+      'cdot': function cdot() {
+        return {
+          type_: 'tight cdot'
+        };
+      },
+      '^(-1)': function _(buffer, m) {
+        buffer.rm += "^{" + m + "}";
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-2'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret = [];
+
+        if (buffer.rm) {
+          var mrm = mhchemParser.patterns.match_('{(...)}', buffer.rm || "");
+
+          if (mrm && mrm.remainder === '') {
+            ret = mhchemParser.go(mrm.match_, 'pu');
+          } else {
+            ret = {
+              type_: 'rm',
+              p1: buffer.rm
+            };
+          }
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '0': {
+          action_: 'output-0'
+        },
+        'o': {
+          action_: 'output-o'
+        }
+      },
+      ',': {
+        '0': {
+          action_: ['output-0', 'comma'],
+          nextState: 'o'
+        }
+      },
+      '.': {
+        '0': {
+          action_: ['output-0', 'copy'],
+          nextState: 'o'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      },
+      'output-0': function output0(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length % 3;
+
+          if (a === 0) {
+            a = 3;
+          }
+
+          for (var i = buffer.text_.length - 3; i > 0; i -= 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(0, a));
+          ret.reverse();
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      },
+      'output-o': function outputO(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length - 3;
+
+          for (var i = 0; i < a; i += 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(i));
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    } //#endregion
+
+  }
+}; //
+// texify: Take MhchemParser output and convert it to TeX
+//
+
+/** @type {Texify} */
+
+var texify = {
+  go: function go(input, isInner) {
+    // (recursive, max 4 levels)
+    if (!input) {
+      return "";
+    }
+
+    var res = "";
+    var cee = false;
+
+    for (var i = 0; i < input.length; i++) {
+      var inputi = input[i];
+
+      if (typeof inputi === "string") {
+        res += inputi;
+      } else {
+        res += texify._go2(inputi);
+
+        if (inputi.type_ === '1st-level escape') {
+          cee = true;
+        }
+      }
+    }
+
+    if (!isInner && !cee && res) {
+      res = "{" + res + "}";
+    }
+
+    return res;
+  },
+  _goInner: function _goInner(input) {
+    if (!input) {
+      return input;
+    }
+
+    return texify.go(input, true);
+  },
+  _go2: function _go2(buf) {
+    /** @type {undefined | string} */
+    var res;
+
+    switch (buf.type_) {
+      case 'chemfive':
+        res = "";
+        var b5 = {
+          a: texify._goInner(buf.a),
+          b: texify._goInner(buf.b),
+          p: texify._goInner(buf.p),
+          o: texify._goInner(buf.o),
+          q: texify._goInner(buf.q),
+          d: texify._goInner(buf.d)
+        }; //
+        // a
+        //
+
+        if (b5.a) {
+          if (b5.a.match(/^[+\-]/)) {
+            b5.a = "{" + b5.a + "}";
+          }
+
+          res += b5.a + "\\,";
+        } //
+        // b and p
+        //
+
+
+        if (b5.b || b5.p) {
+          res += "{\\vphantom{X}}";
+          res += "^{\\hphantom{" + (b5.b || "") + "}}_{\\hphantom{" + (b5.p || "") + "}}";
+          res += "{\\vphantom{X}}";
+          res += "^{\\smash[t]{\\vphantom{2}}\\mathllap{" + (b5.b || "") + "}}";
+          res += "_{\\vphantom{2}\\mathllap{\\smash[t]{" + (b5.p || "") + "}}}";
+        } //
+        // o
+        //
+
+
+        if (b5.o) {
+          if (b5.o.match(/^[+\-]/)) {
+            b5.o = "{" + b5.o + "}";
+          }
+
+          res += b5.o;
+        } //
+        // q and d
+        //
+
+
+        if (buf.dType === 'kv') {
+          if (b5.d || b5.q) {
+            res += "{\\vphantom{X}}";
+          }
+
+          if (b5.d) {
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else if (buf.dType === 'oxidation') {
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else {
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+        }
+
+        break;
+
+      case 'rm':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'text':
+        if (buf.p1.match(/[\^_]/)) {
+          buf.p1 = buf.p1.replace(" ", "~").replace("-", "\\text{-}");
+          res = "\\mathrm{" + buf.p1 + "}";
+        } else {
+          res = "\\text{" + buf.p1 + "}";
+        }
+
+        break;
+
+      case 'roman numeral':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'state of aggregation':
+        res = "\\mskip2mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'state of aggregation subscript':
+        res = "\\mskip1mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'bond':
+        res = texify._getBond(buf.kind_);
+
+        if (!res) {
+          throw ["MhchemErrorBond", "mhchem Error. Unknown bond type (" + buf.kind_ + ")"];
+        }
+
+        break;
+
+      case 'frac':
+        var c = "\\frac{" + buf.p1 + "}{" + buf.p2 + "}";
+        res = "\\mathchoice{\\textstyle" + c + "}{" + c + "}{" + c + "}{" + c + "}";
+        break;
+
+      case 'pu-frac':
+        var d = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        res = "\\mathchoice{\\textstyle" + d + "}{" + d + "}{" + d + "}{" + d + "}";
+        break;
+
+      case 'tex-math':
+        res = buf.p1 + " ";
+        break;
+
+      case 'frac-ce':
+        res = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'overset':
+        res = "\\overset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underset':
+        res = "\\underset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underbrace':
+        res = "\\underbrace{" + texify._goInner(buf.p1) + "}_{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'color':
+        res = "{\\color{" + buf.color1 + "}{" + texify._goInner(buf.color2) + "}}";
+        break;
+
+      case 'color0':
+        res = "\\color{" + buf.color + "}";
+        break;
+
+      case 'arrow':
+        var b6 = {
+          rd: texify._goInner(buf.rd),
+          rq: texify._goInner(buf.rq)
+        };
+
+        var arrow = "\\x" + texify._getArrow(buf.r);
+
+        if (b6.rq) {
+          arrow += "[{" + b6.rq + "}]";
+        }
+
+        if (b6.rd) {
+          arrow += "{" + b6.rd + "}";
+        } else {
+          arrow += "{}";
+        }
+
+        res = arrow;
+        break;
+
+      case 'operator':
+        res = texify._getOperator(buf.kind_);
+        break;
+
+      case '1st-level escape':
+        res = buf.p1 + " "; // &, \\\\, \\hlin
+
+        break;
+
+      case 'space':
+        res = " ";
+        break;
+
+      case 'entitySkip':
+        res = "~";
+        break;
+
+      case 'pu-space-1':
+        res = "~";
+        break;
+
+      case 'pu-space-2':
+        res = "\\mkern3mu ";
+        break;
+
+      case '1000 separator':
+        res = "\\mkern2mu ";
+        break;
+
+      case 'commaDecimal':
+        res = "{,}";
+        break;
+
+      case 'comma enumeration L':
+        res = "{" + buf.p1 + "}\\mkern6mu ";
+        break;
+
+      case 'comma enumeration M':
+        res = "{" + buf.p1 + "}\\mkern3mu ";
+        break;
+
+      case 'comma enumeration S':
+        res = "{" + buf.p1 + "}\\mkern1mu ";
+        break;
+
+      case 'hyphen':
+        res = "\\text{-}";
+        break;
+
+      case 'addition compound':
+        res = "\\,{\\cdot}\\,";
+        break;
+
+      case 'electron dot':
+        res = "\\mkern1mu \\bullet\\mkern1mu ";
+        break;
+
+      case 'KV x':
+        res = "{\\times}";
+        break;
+
+      case 'prime':
+        res = "\\prime ";
+        break;
+
+      case 'cdot':
+        res = "\\cdot ";
+        break;
+
+      case 'tight cdot':
+        res = "\\mkern1mu{\\cdot}\\mkern1mu ";
+        break;
+
+      case 'times':
+        res = "\\times ";
+        break;
+
+      case 'circa':
+        res = "{\\sim}";
+        break;
+
+      case '^':
+        res = "uparrow";
+        break;
+
+      case 'v':
+        res = "downarrow";
+        break;
+
+      case 'ellipsis':
+        res = "\\ldots ";
+        break;
+
+      case '/':
+        res = "/";
+        break;
+
+      case ' / ':
+        res = "\\,/\\,";
+        break;
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+      // Missing texify rule or unknown MhchemParser output
+    }
+    return res;
+  },
+  _getArrow: function _getArrow(a) {
+    switch (a) {
+      case "->":
+        return "rightarrow";
+
+      case "\u2192":
+        return "rightarrow";
+
+      case "\u27F6":
+        return "rightarrow";
+
+      case "<-":
+        return "leftarrow";
+
+      case "<->":
+        return "leftrightarrow";
+
+      case "<-->":
+        return "rightleftarrows";
+
+      case "<=>":
+        return "rightleftharpoons";
+
+      case "\u21CC":
+        return "rightleftharpoons";
+
+      case "<=>>":
+        return "rightequilibrium";
+
+      case "<<=>":
+        return "leftequilibrium";
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getBond: function _getBond(a) {
+    switch (a) {
+      case "-":
+        return "{-}";
+
+      case "1":
+        return "{-}";
+
+      case "=":
+        return "{=}";
+
+      case "2":
+        return "{=}";
+
+      case "#":
+        return "{\\equiv}";
+
+      case "3":
+        return "{\\equiv}";
+
+      case "~":
+        return "{\\tripledash}";
+
+      case "~-":
+        return "{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";
+
+      case "~=":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "~--":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "-~-":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";
+
+      case "...":
+        return "{{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "....":
+        return "{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "->":
+        return "{\\rightarrow}";
+
+      case "<-":
+        return "{\\leftarrow}";
+
+      case "<":
+        return "{<}";
+
+      case ">":
+        return "{>}";
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getOperator: function _getOperator(a) {
+    switch (a) {
+      case "+":
+        return " {}+{} ";
+
+      case "-":
+        return " {}-{} ";
+
+      case "=":
+        return " {}={} ";
+
+      case "<":
+        return " {}<{} ";
+
+      case ">":
+        return " {}>{} ";
+
+      case "<<":
+        return " {}\\ll{} ";
+
+      case ">>":
+        return " {}\\gg{} ";
+
+      case "\\pm":
+        return " {}\\pm{} ";
+
+      case "\\approx":
+        return " {}\\approx{} ";
+
+      case "$\\approx$":
+        return " {}\\approx{} ";
+
+      case "v":
+        return " \\downarrow{} ";
+
+      case "(v)":
+        return " \\downarrow{} ";
+
+      case "^":
+        return " \\uparrow{} ";
+
+      case "(^)":
+        return " \\uparrow{} ";
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  }
+}; //
diff --git a/docs/static/katex/v0.11.1/contrib/render-a11y-string.js b/docs/static/katex/v0.11.1/contrib/render-a11y-string.js
new file mode 100644
index 000000000..34643ec2e
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/render-a11y-string.js
@@ -0,0 +1,858 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else {
+		var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]);
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(0);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__);
+/**
+ * renderA11yString returns a readable string.
+ *
+ * In some cases the string will have the proper semantic math
+ * meaning,:
+ *   renderA11yString("\\frac{1}{2}"")
+ *   -> "start fraction, 1, divided by, 2, end fraction"
+ *
+ * However, other cases do not:
+ *   renderA11yString("f(x) = x^2")
+ *   -> "f, left parenthesis, x, right parenthesis, equals, x, squared"
+ *
+ * The commas in the string aim to increase ease of understanding
+ * when read by a screenreader.
+ */
+// NOTE: since we're importing types here these files won't actually be
+// included in the build.
+// $FlowIgnore: we import the types directly anyways
+
+var stringMap = {
+  "(": "left parenthesis",
+  ")": "right parenthesis",
+  "[": "open bracket",
+  "]": "close bracket",
+  "\\{": "left brace",
+  "\\}": "right brace",
+  "\\lvert": "open vertical bar",
+  "\\rvert": "close vertical bar",
+  "|": "vertical bar",
+  "\\uparrow": "up arrow",
+  "\\Uparrow": "up arrow",
+  "\\downarrow": "down arrow",
+  "\\Downarrow": "down arrow",
+  "\\updownarrow": "up down arrow",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  "\\langle": "open angle",
+  "\\rangle": "close angle",
+  "\\lfloor": "open floor",
+  "\\rfloor": "close floor",
+  "\\int": "integral",
+  "\\intop": "integral",
+  "\\lim": "limit",
+  "\\ln": "natural log",
+  "\\log": "log",
+  "\\sin": "sine",
+  "\\cos": "cosine",
+  "\\tan": "tangent",
+  "\\cot": "cotangent",
+  "\\sum": "sum",
+  "/": "slash",
+  ",": "comma",
+  ".": "point",
+  "-": "negative",
+  "+": "plus",
+  "~": "tilde",
+  ":": "colon",
+  "?": "question mark",
+  "'": "apostrophe",
+  "\\%": "percent",
+  " ": "space",
+  "\\ ": "space",
+  "\\$": "dollar sign",
+  "\\angle": "angle",
+  "\\degree": "degree",
+  "\\circ": "circle",
+  "\\vec": "vector",
+  "\\triangle": "triangle",
+  "\\pi": "pi",
+  "\\prime": "prime",
+  "\\infty": "infinity",
+  "\\alpha": "alpha",
+  "\\beta": "beta",
+  "\\gamma": "gamma",
+  "\\omega": "omega",
+  "\\theta": "theta",
+  "\\sigma": "sigma",
+  "\\lambda": "lambda",
+  "\\tau": "tau",
+  "\\Delta": "delta",
+  "\\delta": "delta",
+  "\\mu": "mu",
+  "\\rho": "rho",
+  "\\nabla": "del",
+  "\\ell": "ell",
+  "\\ldots": "dots",
+  // TODO: add entries for all accents
+  "\\hat": "hat",
+  "\\acute": "acute"
+};
+var powerMap = {
+  "prime": "prime",
+  "degree": "degrees",
+  "circle": "degrees",
+  "2": "squared",
+  "3": "cubed"
+};
+var openMap = {
+  "|": "open vertical bar",
+  ".": ""
+};
+var closeMap = {
+  "|": "close vertical bar",
+  ".": ""
+};
+var binMap = {
+  "+": "plus",
+  "-": "minus",
+  "\\pm": "plus minus",
+  "\\cdot": "dot",
+  "*": "times",
+  "/": "divided by",
+  "\\times": "times",
+  "\\div": "divided by",
+  "\\circ": "circle",
+  "\\bullet": "bullet"
+};
+var relMap = {
+  "=": "equals",
+  "\\approx": "approximately equals",
+  "≠": "does not equal",
+  "\\geq": "is greater than or equal to",
+  "\\ge": "is greater than or equal to",
+  "\\leq": "is less than or equal to",
+  "\\le": "is less than or equal to",
+  ">": "is greater than",
+  "<": "is less than",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  ":": "colon"
+};
+var accentUnderMap = {
+  "\\underleftarrow": "left arrow",
+  "\\underrightarrow": "right arrow",
+  "\\underleftrightarrow": "left-right arrow",
+  "\\undergroup": "group",
+  "\\underlinesegment": "line segment",
+  "\\utilde": "tilde"
+};
+
+var buildString = function buildString(str, type, a11yStrings) {
+  if (!str) {
+    return;
+  }
+
+  var ret;
+
+  if (type === "open") {
+    ret = str in openMap ? openMap[str] : stringMap[str] || str;
+  } else if (type === "close") {
+    ret = str in closeMap ? closeMap[str] : stringMap[str] || str;
+  } else if (type === "bin") {
+    ret = binMap[str] || str;
+  } else if (type === "rel") {
+    ret = relMap[str] || str;
+  } else {
+    ret = stringMap[str] || str;
+  } // If the text to add is a number and there is already a string
+  // in the list and the last string is a number then we should
+  // combine them into a single number
+
+
+  if (/^\d+$/.test(ret) && a11yStrings.length > 0 && // TODO(kevinb): check that the last item in a11yStrings is a string
+  // I think we might be able to drop the nested arrays, which would make
+  // this easier to type - $FlowFixMe
+  /^\d+$/.test(a11yStrings[a11yStrings.length - 1])) {
+    a11yStrings[a11yStrings.length - 1] += ret;
+  } else if (ret) {
+    a11yStrings.push(ret);
+  }
+};
+
+var buildRegion = function buildRegion(a11yStrings, callback) {
+  var regionStrings = [];
+  a11yStrings.push(regionStrings);
+  callback(regionStrings);
+};
+
+var handleObject = function handleObject(tree, a11yStrings, atomType) {
+  // Everything else is assumed to be an object...
+  switch (tree.type) {
+    case "accent":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(tree.label, "normal", a11yStrings);
+          a11yStrings.push("on top");
+        });
+        break;
+      }
+
+    case "accentUnder":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(accentUnderMap[tree.label], "normal", a11yStrings);
+          a11yStrings.push("underneath");
+        });
+        break;
+      }
+
+    case "accent-token":
+      {
+        // Used internally by accent symbols.
+        break;
+      }
+
+    case "atom":
+      {
+        var text = tree.text;
+
+        switch (tree.family) {
+          case "bin":
+            {
+              buildString(text, "bin", a11yStrings);
+              break;
+            }
+
+          case "close":
+            {
+              buildString(text, "close", a11yStrings);
+              break;
+            }
+          // TODO(kevinb): figure out what should be done for inner
+
+          case "inner":
+            {
+              buildString(tree.text, "inner", a11yStrings);
+              break;
+            }
+
+          case "open":
+            {
+              buildString(text, "open", a11yStrings);
+              break;
+            }
+
+          case "punct":
+            {
+              buildString(text, "punct", a11yStrings);
+              break;
+            }
+
+          case "rel":
+            {
+              buildString(text, "rel", a11yStrings);
+              break;
+            }
+
+          default:
+            {
+              tree.family;
+              throw new Error("\"" + tree.family + "\" is not a valid atom type");
+            }
+        }
+
+        break;
+      }
+
+    case "color":
+      {
+        var color = tree.color.replace(/katex-/, "");
+        buildRegion(a11yStrings, function (regionStrings) {
+          regionStrings.push("start color " + color);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end color " + color);
+        });
+        break;
+      }
+
+    case "color-token":
+      {
+        // Used by \color, \colorbox, and \fcolorbox but not directly rendered.
+        // It's a leaf node and has no children so just break.
+        break;
+      }
+
+    case "delimsizing":
+      {
+        if (tree.delim && tree.delim !== ".") {
+          buildString(tree.delim, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "genfrac":
+      {
+        buildRegion(a11yStrings, function (regionStrings) {
+          // genfrac can have unbalanced delimiters
+          var leftDelim = tree.leftDelim,
+              rightDelim = tree.rightDelim; // NOTE: Not sure if this is a safe assumption
+          // hasBarLine true -> fraction, false -> binomial
+
+          if (tree.hasBarLine) {
+            regionStrings.push("start fraction");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("divided by");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end fraction");
+          } else {
+            regionStrings.push("start binomial");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("over");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end binomial");
+          }
+        });
+        break;
+      }
+
+    case "kern":
+      {
+        // No op: we don't attempt to present kerning information
+        // to the screen reader.
+        break;
+      }
+
+    case "leftright":
+      {
+        buildRegion(a11yStrings, function (regionStrings) {
+          buildString(tree.left, "open", regionStrings);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          buildString(tree.right, "close", regionStrings);
+        });
+        break;
+      }
+
+    case "leftright-right":
+      {
+        // TODO: double check that this is a no-op
+        break;
+      }
+
+    case "lap":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "mathord":
+      {
+        buildString(tree.text, "normal", a11yStrings);
+        break;
+      }
+
+    case "op":
+      {
+        var body = tree.body,
+            name = tree.name;
+
+        if (body) {
+          buildA11yStrings(body, a11yStrings, atomType);
+        } else if (name) {
+          buildString(name, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "op-token":
+      {
+        // Used internally by operator symbols.
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "ordgroup":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "overline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start overline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end overline");
+        });
+        break;
+      }
+
+    case "phantom":
+      {
+        a11yStrings.push("empty space");
+        break;
+      }
+
+    case "raisebox":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "rule":
+      {
+        a11yStrings.push("rectangle");
+        break;
+      }
+
+    case "sizing":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "spacing":
+      {
+        a11yStrings.push("space");
+        break;
+      }
+
+    case "styling":
+      {
+        // We ignore the styling and just pass through the contents
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "sqrt":
+      {
+        buildRegion(a11yStrings, function (regionStrings) {
+          var body = tree.body,
+              index = tree.index;
+
+          if (index) {
+            var indexString = flatten(buildA11yStrings(index, [], atomType)).join(",");
+
+            if (indexString === "3") {
+              regionStrings.push("cube root of");
+              buildA11yStrings(body, regionStrings, atomType);
+              regionStrings.push("end cube root");
+              return;
+            }
+
+            regionStrings.push("root");
+            regionStrings.push("start index");
+            buildA11yStrings(index, regionStrings, atomType);
+            regionStrings.push("end index");
+            return;
+          }
+
+          regionStrings.push("square root of");
+          buildA11yStrings(body, regionStrings, atomType);
+          regionStrings.push("end square root");
+        });
+        break;
+      }
+
+    case "supsub":
+      {
+        var base = tree.base,
+            sub = tree.sub,
+            sup = tree.sup;
+        var isLog = false;
+
+        if (base) {
+          buildA11yStrings(base, a11yStrings, atomType);
+          isLog = base.type === "op" && base.name === "\\log";
+        }
+
+        if (sub) {
+          var regionName = isLog ? "base" : "subscript";
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start " + regionName);
+            buildA11yStrings(sub, regionStrings, atomType);
+            regionStrings.push("end " + regionName);
+          });
+        }
+
+        if (sup) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            var supString = flatten(buildA11yStrings(sup, [], atomType)).join(",");
+
+            if (supString in powerMap) {
+              regionStrings.push(powerMap[supString]);
+              return;
+            }
+
+            regionStrings.push("start superscript");
+            buildA11yStrings(sup, regionStrings, atomType);
+            regionStrings.push("end superscript");
+          });
+        }
+
+        break;
+      }
+
+    case "text":
+      {
+        // TODO: handle other fonts
+        if (tree.font === "\\textbf") {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start bold text");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end bold text");
+          });
+          break;
+        }
+
+        buildRegion(a11yStrings, function (regionStrings) {
+          regionStrings.push("start text");
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end text");
+        });
+        break;
+      }
+
+    case "textord":
+      {
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "smash":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "enclose":
+      {
+        // TODO: create a map for these.
+        // TODO: differentiate between a body with a single atom, e.g.
+        // "cancel a" instead of "start cancel, a, end cancel"
+        if (/cancel/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start cancel");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end cancel");
+          });
+          break;
+        } else if (/box/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start box");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end box");
+          });
+          break;
+        } else if (/sout/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start strikeout");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end strikeout");
+          });
+          break;
+        }
+
+        throw new Error("KaTeX-a11y: enclose node with " + tree.label + " not supported yet");
+      }
+
+    case "vphantom":
+      {
+        throw new Error("KaTeX-a11y: vphantom not implemented yet");
+      }
+
+    case "hphantom":
+      {
+        throw new Error("KaTeX-a11y: hphantom not implemented yet");
+      }
+
+    case "operatorname":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "array":
+      {
+        throw new Error("KaTeX-a11y: array not implemented yet");
+      }
+
+    case "raw":
+      {
+        throw new Error("KaTeX-a11y: raw not implemented yet");
+      }
+
+    case "size":
+      {
+        // Although there are nodes of type "size" in the parse tree, they have
+        // no semantic meaning and should be ignored.
+        break;
+      }
+
+    case "url":
+      {
+        throw new Error("KaTeX-a11y: url not implemented yet");
+      }
+
+    case "tag":
+      {
+        throw new Error("KaTeX-a11y: tag not implemented yet");
+      }
+
+    case "verb":
+      {
+        buildString("start verbatim", "normal", a11yStrings);
+        buildString(tree.body, "normal", a11yStrings);
+        buildString("end verbatim", "normal", a11yStrings);
+        break;
+      }
+
+    case "environment":
+      {
+        throw new Error("KaTeX-a11y: environment not implemented yet");
+      }
+
+    case "horizBrace":
+      {
+        buildString("start " + tree.label.slice(1), "normal", a11yStrings);
+        buildA11yStrings(tree.base, a11yStrings, atomType);
+        buildString("end " + tree.label.slice(1), "normal", a11yStrings);
+        break;
+      }
+
+    case "infix":
+      {
+        // All infix nodes are replace with other nodes.
+        break;
+      }
+
+    case "includegraphics":
+      {
+        throw new Error("KaTeX-a11y: includegraphics not implemented yet");
+      }
+
+    case "font":
+      {
+        // TODO: callout the start/end of specific fonts
+        // TODO: map \BBb{N} to "the naturals" or something like that
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "href":
+      {
+        throw new Error("KaTeX-a11y: href not implemented yet");
+      }
+
+    case "cr":
+      {
+        // This is used by environments.
+        throw new Error("KaTeX-a11y: cr not implemented yet");
+      }
+
+    case "underline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start underline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end underline");
+        });
+        break;
+      }
+
+    case "xArrow":
+      {
+        throw new Error("KaTeX-a11y: xArrow not implemented yet");
+      }
+
+    case "mclass":
+      {
+        // \neq and \ne are macros so we let "htmlmathml" render the mathmal
+        // side of things and extract the text from that.
+        var _atomType = tree.mclass.slice(1); // $FlowFixMe: drop the leading "m" from the values in mclass
+
+
+        buildA11yStrings(tree.body, a11yStrings, _atomType);
+        break;
+      }
+
+    case "mathchoice":
+      {
+        // TODO: track which which style we're using, e.g. dispaly, text, etc.
+        // default to text style if even that may not be the correct style
+        buildA11yStrings(tree.text, a11yStrings, atomType);
+        break;
+      }
+
+    case "htmlmathml":
+      {
+        buildA11yStrings(tree.mathml, a11yStrings, atomType);
+        break;
+      }
+
+    case "middle":
+      {
+        buildString(tree.delim, atomType, a11yStrings);
+        break;
+      }
+
+    default:
+      tree.type;
+      throw new Error("KaTeX a11y un-recognized type: " + tree.type);
+  }
+};
+
+var buildA11yStrings = function buildA11yStrings(tree, a11yStrings, atomType) {
+  if (a11yStrings === void 0) {
+    a11yStrings = [];
+  }
+
+  if (tree instanceof Array) {
+    for (var i = 0; i < tree.length; i++) {
+      buildA11yStrings(tree[i], a11yStrings, atomType);
+    }
+  } else {
+    handleObject(tree, a11yStrings, atomType);
+  }
+
+  return a11yStrings;
+};
+
+var flatten = function flatten(array) {
+  var result = [];
+  array.forEach(function (item) {
+    if (item instanceof Array) {
+      result = result.concat(flatten(item));
+    } else {
+      result.push(item);
+    }
+  });
+  return result;
+};
+
+var renderA11yString = function renderA11yString(text, settings) {
+  var tree = katex__WEBPACK_IMPORTED_MODULE_0___default.a.__parse(text, settings);
+
+  var a11yStrings = buildA11yStrings(tree, [], "normal");
+  return flatten(a11yStrings).join(", ");
+};
+
+/* harmony default export */ __webpack_exports__["default"] = (renderA11yString);
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/render-a11y-string.min.js b/docs/static/katex/v0.11.1/contrib/render-a11y-string.min.js
new file mode 100644
index 000000000..0dcac271a
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/render-a11y-string.min.js
@@ -0,0 +1 @@
+!function(e,r){if("object"==typeof exports&&"object"==typeof module)module.exports=r(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],r);else{var t="object"==typeof exports?r(require("katex")):r(e.katex);for(var a in t)("object"==typeof exports?exports:e)[a]=t[a]}}("undefined"!=typeof self?self:this,function(e){return function(e){var r={};function t(a){if(r[a])return r[a].exports;var o=r[a]={i:a,l:!1,exports:{}};return e[a].call(o.exports,o,o.exports,t),o.l=!0,o.exports}return t.m=e,t.c=r,t.d=function(e,r,a){t.o(e,r)||Object.defineProperty(e,r,{enumerable:!0,get:a})},t.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},t.t=function(e,r){if(1&r&&(e=t(e)),8&r)return e;if(4&r&&"object"==typeof e&&e&&e.__esModule)return e;var a=Object.create(null);if(t.r(a),Object.defineProperty(a,"default",{enumerable:!0,value:e}),2&r&&"string"!=typeof e)for(var o in e)t.d(a,o,function(r){return e[r]}.bind(null,o));return a},t.n=function(e){var r=e&&e.__esModule?function(){return e.default}:function(){return e};return t.d(r,"a",r),r},t.o=function(e,r){return Object.prototype.hasOwnProperty.call(e,r)},t.p="",t(t.s=1)}([function(r,t){r.exports=e},function(e,r,t){"use strict";t.r(r);var a=t(0),o=t.n(a),n={"(":"left parenthesis",")":"right parenthesis","[":"open bracket","]":"close bracket","\\{":"left brace","\\}":"right brace","\\lvert":"open vertical bar","\\rvert":"close vertical bar","|":"vertical bar","\\uparrow":"up arrow","\\Uparrow":"up arrow","\\downarrow":"down arrow","\\Downarrow":"down arrow","\\updownarrow":"up down arrow","\\leftarrow":"left arrow","\\Leftarrow":"left arrow","\\rightarrow":"right arrow","\\Rightarrow":"right arrow","\\langle":"open angle","\\rangle":"close angle","\\lfloor":"open floor","\\rfloor":"close floor","\\int":"integral","\\intop":"integral","\\lim":"limit","\\ln":"natural log","\\log":"log","\\sin":"sine","\\cos":"cosine","\\tan":"tangent","\\cot":"cotangent","\\sum":"sum","/":"slash",",":"comma",".":"point","-":"negative","+":"plus","~":"tilde",":":"colon","?":"question mark","'":"apostrophe","\\%":"percent"," ":"space","\\ ":"space","\\$":"dollar sign","\\angle":"angle","\\degree":"degree","\\circ":"circle","\\vec":"vector","\\triangle":"triangle","\\pi":"pi","\\prime":"prime","\\infty":"infinity","\\alpha":"alpha","\\beta":"beta","\\gamma":"gamma","\\omega":"omega","\\theta":"theta","\\sigma":"sigma","\\lambda":"lambda","\\tau":"tau","\\Delta":"delta","\\delta":"delta","\\mu":"mu","\\rho":"rho","\\nabla":"del","\\ell":"ell","\\ldots":"dots","\\hat":"hat","\\acute":"acute"},s={prime:"prime",degree:"degrees",circle:"degrees",2:"squared",3:"cubed"},i={"|":"open vertical bar",".":""},l={"|":"close vertical bar",".":""},c={"+":"plus","-":"minus","\\pm":"plus minus","\\cdot":"dot","*":"times","/":"divided by","\\times":"times","\\div":"divided by","\\circ":"circle","\\bullet":"bullet"},u={"=":"equals","\\approx":"approximately equals","\u2260":"does not equal","\\geq":"is greater than or equal to","\\ge":"is greater than or equal to","\\leq":"is less than or equal to","\\le":"is less than or equal to",">":"is greater than","<":"is less than","\\leftarrow":"left arrow","\\Leftarrow":"left arrow","\\rightarrow":"right arrow","\\Rightarrow":"right arrow",":":"colon"},p={"\\underleftarrow":"left arrow","\\underrightarrow":"right arrow","\\underleftrightarrow":"left-right arrow","\\undergroup":"group","\\underlinesegment":"line segment","\\utilde":"tilde"},d=function(e,r,t){var a;e&&(/^\d+$/.test(a="open"===r?e in i?i[e]:n[e]||e:"close"===r?e in l?l[e]:n[e]||e:"bin"===r?c[e]||e:"rel"===r?u[e]||e:n[e]||e)&&t.length>0&&/^\d+$/.test(t[t.length-1])?t[t.length-1]+=a:a&&t.push(a))},b=function(e,r){var t=[];e.push(t),r(t)},h=function(e,r,t){switch(e.type){case"accent":b(r,function(r){f(e.base,r,t),r.push("with"),d(e.label,"normal",r),r.push("on top")});break;case"accentUnder":b(r,function(r){f(e.base,r,t),r.push("with"),d(p[e.label],"normal",r),r.push("underneath")});break;case"accent-token":break;case"atom":var a=e.text;switch(e.family){case"bin":d(a,"bin",r);break;case"close":d(a,"close",r);break;case"inner":d(e.text,"inner",r);break;case"open":d(a,"open",r);break;case"punct":d(a,"punct",r);break;case"rel":d(a,"rel",r);break;default:throw e.family,new Error('"'+e.family+'" is not a valid atom type')}break;case"color":var o=e.color.replace(/katex-/,"");b(r,function(r){r.push("start color "+o),f(e.body,r,t),r.push("end color "+o)});break;case"color-token":break;case"delimsizing":e.delim&&"."!==e.delim&&d(e.delim,"normal",r);break;case"genfrac":b(r,function(r){var a=e.leftDelim,o=e.rightDelim;e.hasBarLine?(r.push("start fraction"),a&&d(a,"open",r),f(e.numer,r,t),r.push("divided by"),f(e.denom,r,t),o&&d(o,"close",r),r.push("end fraction")):(r.push("start binomial"),a&&d(a,"open",r),f(e.numer,r,t),r.push("over"),f(e.denom,r,t),o&&d(o,"close",r),r.push("end binomial"))});break;case"kern":break;case"leftright":b(r,function(r){d(e.left,"open",r),f(e.body,r,t),d(e.right,"close",r)});break;case"leftright-right":break;case"lap":f(e.body,r,t);break;case"mathord":d(e.text,"normal",r);break;case"op":var n=e.body,i=e.name;n?f(n,r,t):i&&d(i,"normal",r);break;case"op-token":d(e.text,t,r);break;case"ordgroup":f(e.body,r,t);break;case"overline":b(r,function(r){r.push("start overline"),f(e.body,r,t),r.push("end overline")});break;case"phantom":r.push("empty space");break;case"raisebox":f(e.body,r,t);break;case"rule":r.push("rectangle");break;case"sizing":f(e.body,r,t);break;case"spacing":r.push("space");break;case"styling":f(e.body,r,t);break;case"sqrt":b(r,function(r){var a=e.body,o=e.index;if(o)return"3"===m(f(o,[],t)).join(",")?(r.push("cube root of"),f(a,r,t),void r.push("end cube root")):(r.push("root"),r.push("start index"),f(o,r,t),void r.push("end index"));r.push("square root of"),f(a,r,t),r.push("end square root")});break;case"supsub":var l=e.base,c=e.sub,u=e.sup,h=!1;if(l&&(f(l,r,t),h="op"===l.type&&"\\log"===l.name),c){var y=h?"base":"subscript";b(r,function(e){e.push("start "+y),f(c,e,t),e.push("end "+y)})}u&&b(r,function(e){var r=m(f(u,[],t)).join(",");r in s?e.push(s[r]):(e.push("start superscript"),f(u,e,t),e.push("end superscript"))});break;case"text":if("\\textbf"===e.font){b(r,function(r){r.push("start bold text"),f(e.body,r,t),r.push("end bold text")});break}b(r,function(r){r.push("start text"),f(e.body,r,t),r.push("end text")});break;case"textord":d(e.text,t,r);break;case"smash":f(e.body,r,t);break;case"enclose":if(/cancel/.test(e.label)){b(r,function(r){r.push("start cancel"),f(e.body,r,t),r.push("end cancel")});break}if(/box/.test(e.label)){b(r,function(r){r.push("start box"),f(e.body,r,t),r.push("end box")});break}if(/sout/.test(e.label)){b(r,function(r){r.push("start strikeout"),f(e.body,r,t),r.push("end strikeout")});break}throw new Error("KaTeX-a11y: enclose node with "+e.label+" not supported yet");case"vphantom":throw new Error("KaTeX-a11y: vphantom not implemented yet");case"hphantom":throw new Error("KaTeX-a11y: hphantom not implemented yet");case"operatorname":f(e.body,r,t);break;case"array":throw new Error("KaTeX-a11y: array not implemented yet");case"raw":throw new Error("KaTeX-a11y: raw not implemented yet");case"size":break;case"url":throw new Error("KaTeX-a11y: url not implemented yet");case"tag":throw new Error("KaTeX-a11y: tag not implemented yet");case"verb":d("start verbatim","normal",r),d(e.body,"normal",r),d("end verbatim","normal",r);break;case"environment":throw new Error("KaTeX-a11y: environment not implemented yet");case"horizBrace":d("start "+e.label.slice(1),"normal",r),f(e.base,r,t),d("end "+e.label.slice(1),"normal",r);break;case"infix":break;case"includegraphics":throw new Error("KaTeX-a11y: includegraphics not implemented yet");case"font":f(e.body,r,t);break;case"href":throw new Error("KaTeX-a11y: href not implemented yet");case"cr":throw new Error("KaTeX-a11y: cr not implemented yet");case"underline":b(r,function(r){r.push("start underline"),f(e.body,r,t),r.push("end underline")});break;case"xArrow":throw new Error("KaTeX-a11y: xArrow not implemented yet");case"mclass":var g=e.mclass.slice(1);f(e.body,r,g);break;case"mathchoice":f(e.text,r,t);break;case"htmlmathml":f(e.mathml,r,t);break;case"middle":d(e.delim,t,r);break;default:throw e.type,new Error("KaTeX a11y un-recognized type: "+e.type)}},f=function e(r,t,a){if(void 0===t&&(t=[]),r instanceof Array)for(var o=0;o<r.length;o++)e(r[o],t,a);else h(r,t,a);return t},m=function e(r){var t=[];return r.forEach(function(r){r instanceof Array?t=t.concat(e(r)):t.push(r)}),t};r.default=function(e,r){var t=o.a.__parse(e,r),a=f(t,[],"normal");return m(a).join(", ")}}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/contrib/render-a11y-string.mjs b/docs/static/katex/v0.11.1/contrib/render-a11y-string.mjs
new file mode 100644
index 000000000..fc63bfc05
--- /dev/null
+++ b/docs/static/katex/v0.11.1/contrib/render-a11y-string.mjs
@@ -0,0 +1,741 @@
+import katex from '../katex.mjs';
+
+/**
+ * renderA11yString returns a readable string.
+ *
+ * In some cases the string will have the proper semantic math
+ * meaning,:
+ *   renderA11yString("\\frac{1}{2}"")
+ *   -> "start fraction, 1, divided by, 2, end fraction"
+ *
+ * However, other cases do not:
+ *   renderA11yString("f(x) = x^2")
+ *   -> "f, left parenthesis, x, right parenthesis, equals, x, squared"
+ *
+ * The commas in the string aim to increase ease of understanding
+ * when read by a screenreader.
+ */
+const stringMap = {
+  "(": "left parenthesis",
+  ")": "right parenthesis",
+  "[": "open bracket",
+  "]": "close bracket",
+  "\\{": "left brace",
+  "\\}": "right brace",
+  "\\lvert": "open vertical bar",
+  "\\rvert": "close vertical bar",
+  "|": "vertical bar",
+  "\\uparrow": "up arrow",
+  "\\Uparrow": "up arrow",
+  "\\downarrow": "down arrow",
+  "\\Downarrow": "down arrow",
+  "\\updownarrow": "up down arrow",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  "\\langle": "open angle",
+  "\\rangle": "close angle",
+  "\\lfloor": "open floor",
+  "\\rfloor": "close floor",
+  "\\int": "integral",
+  "\\intop": "integral",
+  "\\lim": "limit",
+  "\\ln": "natural log",
+  "\\log": "log",
+  "\\sin": "sine",
+  "\\cos": "cosine",
+  "\\tan": "tangent",
+  "\\cot": "cotangent",
+  "\\sum": "sum",
+  "/": "slash",
+  ",": "comma",
+  ".": "point",
+  "-": "negative",
+  "+": "plus",
+  "~": "tilde",
+  ":": "colon",
+  "?": "question mark",
+  "'": "apostrophe",
+  "\\%": "percent",
+  " ": "space",
+  "\\ ": "space",
+  "\\$": "dollar sign",
+  "\\angle": "angle",
+  "\\degree": "degree",
+  "\\circ": "circle",
+  "\\vec": "vector",
+  "\\triangle": "triangle",
+  "\\pi": "pi",
+  "\\prime": "prime",
+  "\\infty": "infinity",
+  "\\alpha": "alpha",
+  "\\beta": "beta",
+  "\\gamma": "gamma",
+  "\\omega": "omega",
+  "\\theta": "theta",
+  "\\sigma": "sigma",
+  "\\lambda": "lambda",
+  "\\tau": "tau",
+  "\\Delta": "delta",
+  "\\delta": "delta",
+  "\\mu": "mu",
+  "\\rho": "rho",
+  "\\nabla": "del",
+  "\\ell": "ell",
+  "\\ldots": "dots",
+  // TODO: add entries for all accents
+  "\\hat": "hat",
+  "\\acute": "acute"
+};
+const powerMap = {
+  "prime": "prime",
+  "degree": "degrees",
+  "circle": "degrees",
+  "2": "squared",
+  "3": "cubed"
+};
+const openMap = {
+  "|": "open vertical bar",
+  ".": ""
+};
+const closeMap = {
+  "|": "close vertical bar",
+  ".": ""
+};
+const binMap = {
+  "+": "plus",
+  "-": "minus",
+  "\\pm": "plus minus",
+  "\\cdot": "dot",
+  "*": "times",
+  "/": "divided by",
+  "\\times": "times",
+  "\\div": "divided by",
+  "\\circ": "circle",
+  "\\bullet": "bullet"
+};
+const relMap = {
+  "=": "equals",
+  "\\approx": "approximately equals",
+  "≠": "does not equal",
+  "\\geq": "is greater than or equal to",
+  "\\ge": "is greater than or equal to",
+  "\\leq": "is less than or equal to",
+  "\\le": "is less than or equal to",
+  ">": "is greater than",
+  "<": "is less than",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  ":": "colon"
+};
+const accentUnderMap = {
+  "\\underleftarrow": "left arrow",
+  "\\underrightarrow": "right arrow",
+  "\\underleftrightarrow": "left-right arrow",
+  "\\undergroup": "group",
+  "\\underlinesegment": "line segment",
+  "\\utilde": "tilde"
+};
+
+const buildString = (str, type, a11yStrings) => {
+  if (!str) {
+    return;
+  }
+
+  let ret;
+
+  if (type === "open") {
+    ret = str in openMap ? openMap[str] : stringMap[str] || str;
+  } else if (type === "close") {
+    ret = str in closeMap ? closeMap[str] : stringMap[str] || str;
+  } else if (type === "bin") {
+    ret = binMap[str] || str;
+  } else if (type === "rel") {
+    ret = relMap[str] || str;
+  } else {
+    ret = stringMap[str] || str;
+  } // If the text to add is a number and there is already a string
+  // in the list and the last string is a number then we should
+  // combine them into a single number
+
+
+  if (/^\d+$/.test(ret) && a11yStrings.length > 0 && // TODO(kevinb): check that the last item in a11yStrings is a string
+  // I think we might be able to drop the nested arrays, which would make
+  // this easier to type - $FlowFixMe
+  /^\d+$/.test(a11yStrings[a11yStrings.length - 1])) {
+    a11yStrings[a11yStrings.length - 1] += ret;
+  } else if (ret) {
+    a11yStrings.push(ret);
+  }
+};
+
+const buildRegion = (a11yStrings, callback) => {
+  const regionStrings = [];
+  a11yStrings.push(regionStrings);
+  callback(regionStrings);
+};
+
+const handleObject = (tree, a11yStrings, atomType) => {
+  // Everything else is assumed to be an object...
+  switch (tree.type) {
+    case "accent":
+      {
+        buildRegion(a11yStrings, a11yStrings => {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(tree.label, "normal", a11yStrings);
+          a11yStrings.push("on top");
+        });
+        break;
+      }
+
+    case "accentUnder":
+      {
+        buildRegion(a11yStrings, a11yStrings => {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(accentUnderMap[tree.label], "normal", a11yStrings);
+          a11yStrings.push("underneath");
+        });
+        break;
+      }
+
+    case "accent-token":
+      {
+        // Used internally by accent symbols.
+        break;
+      }
+
+    case "atom":
+      {
+        const text = tree.text;
+
+        switch (tree.family) {
+          case "bin":
+            {
+              buildString(text, "bin", a11yStrings);
+              break;
+            }
+
+          case "close":
+            {
+              buildString(text, "close", a11yStrings);
+              break;
+            }
+          // TODO(kevinb): figure out what should be done for inner
+
+          case "inner":
+            {
+              buildString(tree.text, "inner", a11yStrings);
+              break;
+            }
+
+          case "open":
+            {
+              buildString(text, "open", a11yStrings);
+              break;
+            }
+
+          case "punct":
+            {
+              buildString(text, "punct", a11yStrings);
+              break;
+            }
+
+          case "rel":
+            {
+              buildString(text, "rel", a11yStrings);
+              break;
+            }
+
+          default:
+            {
+              tree.family;
+              throw new Error(`"${tree.family}" is not a valid atom type`);
+            }
+        }
+
+        break;
+      }
+
+    case "color":
+      {
+        const color = tree.color.replace(/katex-/, "");
+        buildRegion(a11yStrings, regionStrings => {
+          regionStrings.push("start color " + color);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end color " + color);
+        });
+        break;
+      }
+
+    case "color-token":
+      {
+        // Used by \color, \colorbox, and \fcolorbox but not directly rendered.
+        // It's a leaf node and has no children so just break.
+        break;
+      }
+
+    case "delimsizing":
+      {
+        if (tree.delim && tree.delim !== ".") {
+          buildString(tree.delim, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "genfrac":
+      {
+        buildRegion(a11yStrings, regionStrings => {
+          // genfrac can have unbalanced delimiters
+          const leftDelim = tree.leftDelim,
+                rightDelim = tree.rightDelim; // NOTE: Not sure if this is a safe assumption
+          // hasBarLine true -> fraction, false -> binomial
+
+          if (tree.hasBarLine) {
+            regionStrings.push("start fraction");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("divided by");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end fraction");
+          } else {
+            regionStrings.push("start binomial");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("over");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end binomial");
+          }
+        });
+        break;
+      }
+
+    case "kern":
+      {
+        // No op: we don't attempt to present kerning information
+        // to the screen reader.
+        break;
+      }
+
+    case "leftright":
+      {
+        buildRegion(a11yStrings, regionStrings => {
+          buildString(tree.left, "open", regionStrings);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          buildString(tree.right, "close", regionStrings);
+        });
+        break;
+      }
+
+    case "leftright-right":
+      {
+        // TODO: double check that this is a no-op
+        break;
+      }
+
+    case "lap":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "mathord":
+      {
+        buildString(tree.text, "normal", a11yStrings);
+        break;
+      }
+
+    case "op":
+      {
+        const body = tree.body,
+              name = tree.name;
+
+        if (body) {
+          buildA11yStrings(body, a11yStrings, atomType);
+        } else if (name) {
+          buildString(name, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "op-token":
+      {
+        // Used internally by operator symbols.
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "ordgroup":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "overline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start overline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end overline");
+        });
+        break;
+      }
+
+    case "phantom":
+      {
+        a11yStrings.push("empty space");
+        break;
+      }
+
+    case "raisebox":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "rule":
+      {
+        a11yStrings.push("rectangle");
+        break;
+      }
+
+    case "sizing":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "spacing":
+      {
+        a11yStrings.push("space");
+        break;
+      }
+
+    case "styling":
+      {
+        // We ignore the styling and just pass through the contents
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "sqrt":
+      {
+        buildRegion(a11yStrings, regionStrings => {
+          const body = tree.body,
+                index = tree.index;
+
+          if (index) {
+            const indexString = flatten(buildA11yStrings(index, [], atomType)).join(",");
+
+            if (indexString === "3") {
+              regionStrings.push("cube root of");
+              buildA11yStrings(body, regionStrings, atomType);
+              regionStrings.push("end cube root");
+              return;
+            }
+
+            regionStrings.push("root");
+            regionStrings.push("start index");
+            buildA11yStrings(index, regionStrings, atomType);
+            regionStrings.push("end index");
+            return;
+          }
+
+          regionStrings.push("square root of");
+          buildA11yStrings(body, regionStrings, atomType);
+          regionStrings.push("end square root");
+        });
+        break;
+      }
+
+    case "supsub":
+      {
+        const base = tree.base,
+              sub = tree.sub,
+              sup = tree.sup;
+        let isLog = false;
+
+        if (base) {
+          buildA11yStrings(base, a11yStrings, atomType);
+          isLog = base.type === "op" && base.name === "\\log";
+        }
+
+        if (sub) {
+          const regionName = isLog ? "base" : "subscript";
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push(`start ${regionName}`);
+            buildA11yStrings(sub, regionStrings, atomType);
+            regionStrings.push(`end ${regionName}`);
+          });
+        }
+
+        if (sup) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            const supString = flatten(buildA11yStrings(sup, [], atomType)).join(",");
+
+            if (supString in powerMap) {
+              regionStrings.push(powerMap[supString]);
+              return;
+            }
+
+            regionStrings.push("start superscript");
+            buildA11yStrings(sup, regionStrings, atomType);
+            regionStrings.push("end superscript");
+          });
+        }
+
+        break;
+      }
+
+    case "text":
+      {
+        // TODO: handle other fonts
+        if (tree.font === "\\textbf") {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start bold text");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end bold text");
+          });
+          break;
+        }
+
+        buildRegion(a11yStrings, function (regionStrings) {
+          regionStrings.push("start text");
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end text");
+        });
+        break;
+      }
+
+    case "textord":
+      {
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "smash":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "enclose":
+      {
+        // TODO: create a map for these.
+        // TODO: differentiate between a body with a single atom, e.g.
+        // "cancel a" instead of "start cancel, a, end cancel"
+        if (/cancel/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start cancel");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end cancel");
+          });
+          break;
+        } else if (/box/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start box");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end box");
+          });
+          break;
+        } else if (/sout/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start strikeout");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end strikeout");
+          });
+          break;
+        }
+
+        throw new Error(`KaTeX-a11y: enclose node with ${tree.label} not supported yet`);
+      }
+
+    case "vphantom":
+      {
+        throw new Error("KaTeX-a11y: vphantom not implemented yet");
+      }
+
+    case "hphantom":
+      {
+        throw new Error("KaTeX-a11y: hphantom not implemented yet");
+      }
+
+    case "operatorname":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "array":
+      {
+        throw new Error("KaTeX-a11y: array not implemented yet");
+      }
+
+    case "raw":
+      {
+        throw new Error("KaTeX-a11y: raw not implemented yet");
+      }
+
+    case "size":
+      {
+        // Although there are nodes of type "size" in the parse tree, they have
+        // no semantic meaning and should be ignored.
+        break;
+      }
+
+    case "url":
+      {
+        throw new Error("KaTeX-a11y: url not implemented yet");
+      }
+
+    case "tag":
+      {
+        throw new Error("KaTeX-a11y: tag not implemented yet");
+      }
+
+    case "verb":
+      {
+        buildString(`start verbatim`, "normal", a11yStrings);
+        buildString(tree.body, "normal", a11yStrings);
+        buildString(`end verbatim`, "normal", a11yStrings);
+        break;
+      }
+
+    case "environment":
+      {
+        throw new Error("KaTeX-a11y: environment not implemented yet");
+      }
+
+    case "horizBrace":
+      {
+        buildString(`start ${tree.label.slice(1)}`, "normal", a11yStrings);
+        buildA11yStrings(tree.base, a11yStrings, atomType);
+        buildString(`end ${tree.label.slice(1)}`, "normal", a11yStrings);
+        break;
+      }
+
+    case "infix":
+      {
+        // All infix nodes are replace with other nodes.
+        break;
+      }
+
+    case "includegraphics":
+      {
+        throw new Error("KaTeX-a11y: includegraphics not implemented yet");
+      }
+
+    case "font":
+      {
+        // TODO: callout the start/end of specific fonts
+        // TODO: map \BBb{N} to "the naturals" or something like that
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "href":
+      {
+        throw new Error("KaTeX-a11y: href not implemented yet");
+      }
+
+    case "cr":
+      {
+        // This is used by environments.
+        throw new Error("KaTeX-a11y: cr not implemented yet");
+      }
+
+    case "underline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start underline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end underline");
+        });
+        break;
+      }
+
+    case "xArrow":
+      {
+        throw new Error("KaTeX-a11y: xArrow not implemented yet");
+      }
+
+    case "mclass":
+      {
+        // \neq and \ne are macros so we let "htmlmathml" render the mathmal
+        // side of things and extract the text from that.
+        const atomType = tree.mclass.slice(1); // $FlowFixMe: drop the leading "m" from the values in mclass
+
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "mathchoice":
+      {
+        // TODO: track which which style we're using, e.g. dispaly, text, etc.
+        // default to text style if even that may not be the correct style
+        buildA11yStrings(tree.text, a11yStrings, atomType);
+        break;
+      }
+
+    case "htmlmathml":
+      {
+        buildA11yStrings(tree.mathml, a11yStrings, atomType);
+        break;
+      }
+
+    case "middle":
+      {
+        buildString(tree.delim, atomType, a11yStrings);
+        break;
+      }
+
+    default:
+      tree.type;
+      throw new Error("KaTeX a11y un-recognized type: " + tree.type);
+  }
+};
+
+const buildA11yStrings = function buildA11yStrings(tree, a11yStrings, atomType) {
+  if (a11yStrings === void 0) {
+    a11yStrings = [];
+  }
+
+  if (tree instanceof Array) {
+    for (let i = 0; i < tree.length; i++) {
+      buildA11yStrings(tree[i], a11yStrings, atomType);
+    }
+  } else {
+    handleObject(tree, a11yStrings, atomType);
+  }
+
+  return a11yStrings;
+};
+
+const flatten = function flatten(array) {
+  let result = [];
+  array.forEach(function (item) {
+    if (item instanceof Array) {
+      result = result.concat(flatten(item));
+    } else {
+      result.push(item);
+    }
+  });
+  return result;
+};
+
+const renderA11yString = function renderA11yString(text, settings) {
+  const tree = katex.__parse(text, settings);
+
+  const a11yStrings = buildA11yStrings(tree, [], "normal");
+  return flatten(a11yStrings).join(", ");
+};
+
+export default renderA11yString;
diff --git a/docs/static/katex/v0.11.1/fonts/KaTeX_AMS-Regular.ttf b/docs/static/katex/v0.11.1/fonts/KaTeX_AMS-Regular.ttf
new file mode 100644
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diff --git a/docs/static/katex/v0.11.1/fonts/KaTeX_AMS-Regular.woff b/docs/static/katex/v0.11.1/fonts/KaTeX_AMS-Regular.woff
new file mode 100644
index 0000000000000000000000000000000000000000..4f575152f2d92dfe48ed316b668e5558c6102c93
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diff --git a/docs/static/katex/v0.11.1/fonts/KaTeX_Caligraphic-Regular.ttf b/docs/static/katex/v0.11.1/fonts/KaTeX_Caligraphic-Regular.ttf
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diff --git a/docs/static/katex/v0.11.1/katex.css b/docs/static/katex/v0.11.1/katex.css
new file mode 100644
index 000000000..7c97e926d
--- /dev/null
+++ b/docs/static/katex/v0.11.1/katex.css
@@ -0,0 +1,1012 @@
+/* stylelint-disable font-family-no-missing-generic-family-keyword */
+@font-face {
+  font-family: 'KaTeX_AMS';
+  src: url(fonts/KaTeX_AMS-Regular.woff2) format('woff2'), url(fonts/KaTeX_AMS-Regular.woff) format('woff'), url(fonts/KaTeX_AMS-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Caligraphic';
+  src: url(fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Bold.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Caligraphic';
+  src: url(fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Regular.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Fraktur';
+  src: url(fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Bold.woff) format('woff'), url(fonts/KaTeX_Fraktur-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Fraktur';
+  src: url(fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Regular.woff) format('woff'), url(fonts/KaTeX_Fraktur-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-Bold.woff2) format('woff2'), url(fonts/KaTeX_Main-Bold.woff) format('woff'), url(fonts/KaTeX_Main-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-BoldItalic.woff2) format('woff2'), url(fonts/KaTeX_Main-BoldItalic.woff) format('woff'), url(fonts/KaTeX_Main-BoldItalic.ttf) format('truetype');
+  font-weight: bold;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-Italic.woff2) format('woff2'), url(fonts/KaTeX_Main-Italic.woff) format('woff'), url(fonts/KaTeX_Main-Italic.ttf) format('truetype');
+  font-weight: normal;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-Regular.woff2) format('woff2'), url(fonts/KaTeX_Main-Regular.woff) format('woff'), url(fonts/KaTeX_Main-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Math';
+  src: url(fonts/KaTeX_Math-BoldItalic.woff2) format('woff2'), url(fonts/KaTeX_Math-BoldItalic.woff) format('woff'), url(fonts/KaTeX_Math-BoldItalic.ttf) format('truetype');
+  font-weight: bold;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_Math';
+  src: url(fonts/KaTeX_Math-Italic.woff2) format('woff2'), url(fonts/KaTeX_Math-Italic.woff) format('woff'), url(fonts/KaTeX_Math-Italic.ttf) format('truetype');
+  font-weight: normal;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_SansSerif';
+  src: url(fonts/KaTeX_SansSerif-Bold.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Bold.woff) format('woff'), url(fonts/KaTeX_SansSerif-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_SansSerif';
+  src: url(fonts/KaTeX_SansSerif-Italic.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Italic.woff) format('woff'), url(fonts/KaTeX_SansSerif-Italic.ttf) format('truetype');
+  font-weight: normal;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_SansSerif';
+  src: url(fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Regular.woff) format('woff'), url(fonts/KaTeX_SansSerif-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Script';
+  src: url(fonts/KaTeX_Script-Regular.woff2) format('woff2'), url(fonts/KaTeX_Script-Regular.woff) format('woff'), url(fonts/KaTeX_Script-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Size1';
+  src: url(fonts/KaTeX_Size1-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size1-Regular.woff) format('woff'), url(fonts/KaTeX_Size1-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Size2';
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+.katex .sizing.reset-size10.size5,
+.katex .fontsize-ensurer.reset-size10.size5 {
+  font-size: 0.43394407em;
+}
+.katex .sizing.reset-size10.size6,
+.katex .fontsize-ensurer.reset-size10.size6 {
+  font-size: 0.48216008em;
+}
+.katex .sizing.reset-size10.size7,
+.katex .fontsize-ensurer.reset-size10.size7 {
+  font-size: 0.57859209em;
+}
+.katex .sizing.reset-size10.size8,
+.katex .fontsize-ensurer.reset-size10.size8 {
+  font-size: 0.69431051em;
+}
+.katex .sizing.reset-size10.size9,
+.katex .fontsize-ensurer.reset-size10.size9 {
+  font-size: 0.83317261em;
+}
+.katex .sizing.reset-size10.size10,
+.katex .fontsize-ensurer.reset-size10.size10 {
+  font-size: 1em;
+}
+.katex .sizing.reset-size10.size11,
+.katex .fontsize-ensurer.reset-size10.size11 {
+  font-size: 1.19961427em;
+}
+.katex .sizing.reset-size11.size1,
+.katex .fontsize-ensurer.reset-size11.size1 {
+  font-size: 0.20096463em;
+}
+.katex .sizing.reset-size11.size2,
+.katex .fontsize-ensurer.reset-size11.size2 {
+  font-size: 0.24115756em;
+}
+.katex .sizing.reset-size11.size3,
+.katex .fontsize-ensurer.reset-size11.size3 {
+  font-size: 0.28135048em;
+}
+.katex .sizing.reset-size11.size4,
+.katex .fontsize-ensurer.reset-size11.size4 {
+  font-size: 0.32154341em;
+}
+.katex .sizing.reset-size11.size5,
+.katex .fontsize-ensurer.reset-size11.size5 {
+  font-size: 0.36173633em;
+}
+.katex .sizing.reset-size11.size6,
+.katex .fontsize-ensurer.reset-size11.size6 {
+  font-size: 0.40192926em;
+}
+.katex .sizing.reset-size11.size7,
+.katex .fontsize-ensurer.reset-size11.size7 {
+  font-size: 0.48231511em;
+}
+.katex .sizing.reset-size11.size8,
+.katex .fontsize-ensurer.reset-size11.size8 {
+  font-size: 0.57877814em;
+}
+.katex .sizing.reset-size11.size9,
+.katex .fontsize-ensurer.reset-size11.size9 {
+  font-size: 0.69453376em;
+}
+.katex .sizing.reset-size11.size10,
+.katex .fontsize-ensurer.reset-size11.size10 {
+  font-size: 0.83360129em;
+}
+.katex .sizing.reset-size11.size11,
+.katex .fontsize-ensurer.reset-size11.size11 {
+  font-size: 1em;
+}
+.katex .delimsizing.size1 {
+  font-family: KaTeX_Size1;
+}
+.katex .delimsizing.size2 {
+  font-family: KaTeX_Size2;
+}
+.katex .delimsizing.size3 {
+  font-family: KaTeX_Size3;
+}
+.katex .delimsizing.size4 {
+  font-family: KaTeX_Size4;
+}
+.katex .delimsizing.mult .delim-size1 > span {
+  font-family: KaTeX_Size1;
+}
+.katex .delimsizing.mult .delim-size4 > span {
+  font-family: KaTeX_Size4;
+}
+.katex .nulldelimiter {
+  display: inline-block;
+  width: 0.12em;
+}
+.katex .delimcenter {
+  position: relative;
+}
+.katex .op-symbol {
+  position: relative;
+}
+.katex .op-symbol.small-op {
+  font-family: KaTeX_Size1;
+}
+.katex .op-symbol.large-op {
+  font-family: KaTeX_Size2;
+}
+.katex .op-limits > .vlist-t {
+  text-align: center;
+}
+.katex .accent > .vlist-t {
+  text-align: center;
+}
+.katex .accent .accent-body {
+  position: relative;
+}
+.katex .accent .accent-body:not(.accent-full) {
+  width: 0;
+}
+.katex .overlay {
+  display: block;
+}
+.katex .mtable .vertical-separator {
+  display: inline-block;
+  min-width: 1px;
+}
+.katex .mtable .arraycolsep {
+  display: inline-block;
+}
+.katex .mtable .col-align-c > .vlist-t {
+  text-align: center;
+}
+.katex .mtable .col-align-l > .vlist-t {
+  text-align: left;
+}
+.katex .mtable .col-align-r > .vlist-t {
+  text-align: right;
+}
+.katex .svg-align {
+  text-align: left;
+}
+.katex svg {
+  display: block;
+  position: absolute;
+  width: 100%;
+  height: inherit;
+  fill: currentColor;
+  stroke: currentColor;
+  fill-rule: nonzero;
+  fill-opacity: 1;
+  stroke-width: 1;
+  stroke-linecap: butt;
+  stroke-linejoin: miter;
+  stroke-miterlimit: 4;
+  stroke-dasharray: none;
+  stroke-dashoffset: 0;
+  stroke-opacity: 1;
+}
+.katex svg path {
+  stroke: none;
+}
+.katex img {
+  border-style: none;
+  min-width: 0;
+  min-height: 0;
+  max-width: none;
+  max-height: none;
+}
+.katex .stretchy {
+  width: 100%;
+  display: block;
+  position: relative;
+  overflow: hidden;
+}
+.katex .stretchy::before,
+.katex .stretchy::after {
+  content: "";
+}
+.katex .hide-tail {
+  width: 100%;
+  position: relative;
+  overflow: hidden;
+}
+.katex .halfarrow-left {
+  position: absolute;
+  left: 0;
+  width: 50.2%;
+  overflow: hidden;
+}
+.katex .halfarrow-right {
+  position: absolute;
+  right: 0;
+  width: 50.2%;
+  overflow: hidden;
+}
+.katex .brace-left {
+  position: absolute;
+  left: 0;
+  width: 25.1%;
+  overflow: hidden;
+}
+.katex .brace-center {
+  position: absolute;
+  left: 25%;
+  width: 50%;
+  overflow: hidden;
+}
+.katex .brace-right {
+  position: absolute;
+  right: 0;
+  width: 25.1%;
+  overflow: hidden;
+}
+.katex .x-arrow-pad {
+  padding: 0 0.5em;
+}
+.katex .x-arrow,
+.katex .mover,
+.katex .munder {
+  text-align: center;
+}
+.katex .boxpad {
+  padding: 0 0.3em 0 0.3em;
+}
+.katex .fbox,
+.katex .fcolorbox {
+  box-sizing: border-box;
+  border: 0.04em solid;
+}
+.katex .cancel-pad {
+  padding: 0 0.2em 0 0.2em;
+}
+.katex .cancel-lap {
+  margin-left: -0.2em;
+  margin-right: -0.2em;
+}
+.katex .sout {
+  border-bottom-style: solid;
+  border-bottom-width: 0.08em;
+}
+.katex-display {
+  display: block;
+  margin: 1em 0;
+  text-align: center;
+}
+.katex-display > .katex {
+  display: block;
+  text-align: center;
+  white-space: nowrap;
+}
+.katex-display > .katex > .katex-html {
+  display: block;
+  position: relative;
+}
+.katex-display > .katex > .katex-html > .tag {
+  position: absolute;
+  right: 0;
+}
+.katex-display.leqno > .katex > .katex-html > .tag {
+  left: 0;
+  right: auto;
+}
+.katex-display.fleqn > .katex {
+  text-align: left;
+}
+
diff --git a/docs/static/katex/v0.11.1/katex.js b/docs/static/katex/v0.11.1/katex.js
new file mode 100644
index 000000000..2aa2c917a
--- /dev/null
+++ b/docs/static/katex/v0.11.1/katex.js
@@ -0,0 +1,17425 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory();
+	else if(typeof define === 'function' && define.amd)
+		define([], factory);
+	else if(typeof exports === 'object')
+		exports["katex"] = factory();
+	else
+		root["katex"] = factory();
+})((typeof self !== 'undefined' ? self : this), function() {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
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+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
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+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
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+/******/
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+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
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+/******/ 		}
+/******/ 	};
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+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
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+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports, __webpack_require__) {
+
+// extracted by mini-css-extract-plugin
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+
+// EXTERNAL MODULE: ./src/katex.less
+var katex = __webpack_require__(0);
+
+// CONCATENATED MODULE: ./src/SourceLocation.js
+/**
+ * Lexing or parsing positional information for error reporting.
+ * This object is immutable.
+ */
+var SourceLocation =
+/*#__PURE__*/
+function () {
+  // The + prefix indicates that these fields aren't writeable
+  // Lexer holding the input string.
+  // Start offset, zero-based inclusive.
+  // End offset, zero-based exclusive.
+  function SourceLocation(lexer, start, end) {
+    this.lexer = void 0;
+    this.start = void 0;
+    this.end = void 0;
+    this.lexer = lexer;
+    this.start = start;
+    this.end = end;
+  }
+  /**
+   * Merges two `SourceLocation`s from location providers, given they are
+   * provided in order of appearance.
+   * - Returns the first one's location if only the first is provided.
+   * - Returns a merged range of the first and the last if both are provided
+   *   and their lexers match.
+   * - Otherwise, returns null.
+   */
+
+
+  SourceLocation.range = function range(first, second) {
+    if (!second) {
+      return first && first.loc;
+    } else if (!first || !first.loc || !second.loc || first.loc.lexer !== second.loc.lexer) {
+      return null;
+    } else {
+      return new SourceLocation(first.loc.lexer, first.loc.start, second.loc.end);
+    }
+  };
+
+  return SourceLocation;
+}();
+
+
+// CONCATENATED MODULE: ./src/Token.js
+
+/**
+ * Interface required to break circular dependency between Token, Lexer, and
+ * ParseError.
+ */
+
+/**
+ * The resulting token returned from `lex`.
+ *
+ * It consists of the token text plus some position information.
+ * The position information is essentially a range in an input string,
+ * but instead of referencing the bare input string, we refer to the lexer.
+ * That way it is possible to attach extra metadata to the input string,
+ * like for example a file name or similar.
+ *
+ * The position information is optional, so it is OK to construct synthetic
+ * tokens if appropriate. Not providing available position information may
+ * lead to degraded error reporting, though.
+ */
+var Token_Token =
+/*#__PURE__*/
+function () {
+  function Token(text, // the text of this token
+  loc) {
+    this.text = void 0;
+    this.loc = void 0;
+    this.text = text;
+    this.loc = loc;
+  }
+  /**
+   * Given a pair of tokens (this and endToken), compute a `Token` encompassing
+   * the whole input range enclosed by these two.
+   */
+
+
+  var _proto = Token.prototype;
+
+  _proto.range = function range(endToken, // last token of the range, inclusive
+  text) // the text of the newly constructed token
+  {
+    return new Token(text, SourceLocation.range(this, endToken));
+  };
+
+  return Token;
+}();
+// CONCATENATED MODULE: ./src/ParseError.js
+
+
+/**
+ * This is the ParseError class, which is the main error thrown by KaTeX
+ * functions when something has gone wrong. This is used to distinguish internal
+ * errors from errors in the expression that the user provided.
+ *
+ * If possible, a caller should provide a Token or ParseNode with information
+ * about where in the source string the problem occurred.
+ */
+var ParseError = // Error position based on passed-in Token or ParseNode.
+function ParseError(message, // The error message
+token) // An object providing position information
+{
+  this.position = void 0;
+  var error = "KaTeX parse error: " + message;
+  var start;
+  var loc = token && token.loc;
+
+  if (loc && loc.start <= loc.end) {
+    // If we have the input and a position, make the error a bit fancier
+    // Get the input
+    var input = loc.lexer.input; // Prepend some information
+
+    start = loc.start;
+    var end = loc.end;
+
+    if (start === input.length) {
+      error += " at end of input: ";
+    } else {
+      error += " at position " + (start + 1) + ": ";
+    } // Underline token in question using combining underscores
+
+
+    var underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error
+
+    var left;
+
+    if (start > 15) {
+      left = "…" + input.slice(start - 15, start);
+    } else {
+      left = input.slice(0, start);
+    }
+
+    var right;
+
+    if (end + 15 < input.length) {
+      right = input.slice(end, end + 15) + "…";
+    } else {
+      right = input.slice(end);
+    }
+
+    error += left + underlined + right;
+  } // Some hackery to make ParseError a prototype of Error
+  // See http://stackoverflow.com/a/8460753
+
+
+  var self = new Error(error);
+  self.name = "ParseError"; // $FlowFixMe
+
+  self.__proto__ = ParseError.prototype; // $FlowFixMe
+
+  self.position = start;
+  return self;
+}; // $FlowFixMe More hackery
+
+
+ParseError.prototype.__proto__ = Error.prototype;
+/* harmony default export */ var src_ParseError = (ParseError);
+// CONCATENATED MODULE: ./src/utils.js
+/**
+ * This file contains a list of utility functions which are useful in other
+ * files.
+ */
+
+/**
+ * Return whether an element is contained in a list
+ */
+var contains = function contains(list, elem) {
+  return list.indexOf(elem) !== -1;
+};
+/**
+ * Provide a default value if a setting is undefined
+ * NOTE: Couldn't use `T` as the output type due to facebook/flow#5022.
+ */
+
+
+var deflt = function deflt(setting, defaultIfUndefined) {
+  return setting === undefined ? defaultIfUndefined : setting;
+}; // hyphenate and escape adapted from Facebook's React under Apache 2 license
+
+
+var uppercase = /([A-Z])/g;
+
+var hyphenate = function hyphenate(str) {
+  return str.replace(uppercase, "-$1").toLowerCase();
+};
+
+var ESCAPE_LOOKUP = {
+  "&": "&amp;",
+  ">": "&gt;",
+  "<": "&lt;",
+  "\"": "&quot;",
+  "'": "&#x27;"
+};
+var ESCAPE_REGEX = /[&><"']/g;
+/**
+ * Escapes text to prevent scripting attacks.
+ */
+
+function utils_escape(text) {
+  return String(text).replace(ESCAPE_REGEX, function (match) {
+    return ESCAPE_LOOKUP[match];
+  });
+}
+/**
+ * Sometimes we want to pull out the innermost element of a group. In most
+ * cases, this will just be the group itself, but when ordgroups and colors have
+ * a single element, we want to pull that out.
+ */
+
+
+var getBaseElem = function getBaseElem(group) {
+  if (group.type === "ordgroup") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "color") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "font") {
+    return getBaseElem(group.body);
+  } else {
+    return group;
+  }
+};
+/**
+ * TeXbook algorithms often reference "character boxes", which are simply groups
+ * with a single character in them. To decide if something is a character box,
+ * we find its innermost group, and see if it is a single character.
+ */
+
+
+var utils_isCharacterBox = function isCharacterBox(group) {
+  var baseElem = getBaseElem(group); // These are all they types of groups which hold single characters
+
+  return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom";
+};
+
+var assert = function assert(value) {
+  if (!value) {
+    throw new Error('Expected non-null, but got ' + String(value));
+  }
+
+  return value;
+};
+/**
+ * Return the protocol of a URL, or "_relative" if the URL does not specify a
+ * protocol (and thus is relative).
+ */
+
+var protocolFromUrl = function protocolFromUrl(url) {
+  var protocol = /^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(url);
+  return protocol != null ? protocol[1] : "_relative";
+};
+/* harmony default export */ var utils = ({
+  contains: contains,
+  deflt: deflt,
+  escape: utils_escape,
+  hyphenate: hyphenate,
+  getBaseElem: getBaseElem,
+  isCharacterBox: utils_isCharacterBox,
+  protocolFromUrl: protocolFromUrl
+});
+// CONCATENATED MODULE: ./src/Settings.js
+/* eslint no-console:0 */
+
+/**
+ * This is a module for storing settings passed into KaTeX. It correctly handles
+ * default settings.
+ */
+
+
+
+
+/**
+ * The main Settings object
+ *
+ * The current options stored are:
+ *  - displayMode: Whether the expression should be typeset as inline math
+ *                 (false, the default), meaning that the math starts in
+ *                 \textstyle and is placed in an inline-block); or as display
+ *                 math (true), meaning that the math starts in \displaystyle
+ *                 and is placed in a block with vertical margin.
+ */
+var Settings_Settings =
+/*#__PURE__*/
+function () {
+  function Settings(options) {
+    this.displayMode = void 0;
+    this.output = void 0;
+    this.leqno = void 0;
+    this.fleqn = void 0;
+    this.throwOnError = void 0;
+    this.errorColor = void 0;
+    this.macros = void 0;
+    this.minRuleThickness = void 0;
+    this.colorIsTextColor = void 0;
+    this.strict = void 0;
+    this.trust = void 0;
+    this.maxSize = void 0;
+    this.maxExpand = void 0;
+    // allow null options
+    options = options || {};
+    this.displayMode = utils.deflt(options.displayMode, false);
+    this.output = utils.deflt(options.output, "htmlAndMathml");
+    this.leqno = utils.deflt(options.leqno, false);
+    this.fleqn = utils.deflt(options.fleqn, false);
+    this.throwOnError = utils.deflt(options.throwOnError, true);
+    this.errorColor = utils.deflt(options.errorColor, "#cc0000");
+    this.macros = options.macros || {};
+    this.minRuleThickness = Math.max(0, utils.deflt(options.minRuleThickness, 0));
+    this.colorIsTextColor = utils.deflt(options.colorIsTextColor, false);
+    this.strict = utils.deflt(options.strict, "warn");
+    this.trust = utils.deflt(options.trust, false);
+    this.maxSize = Math.max(0, utils.deflt(options.maxSize, Infinity));
+    this.maxExpand = Math.max(0, utils.deflt(options.maxExpand, 1000));
+  }
+  /**
+   * Report nonstrict (non-LaTeX-compatible) input.
+   * Can safely not be called if `this.strict` is false in JavaScript.
+   */
+
+
+  var _proto = Settings.prototype;
+
+  _proto.reportNonstrict = function reportNonstrict(errorCode, errorMsg, token) {
+    var strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      strict = strict(errorCode, errorMsg, token);
+    }
+
+    if (!strict || strict === "ignore") {
+      return;
+    } else if (strict === true || strict === "error") {
+      throw new src_ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + (errorMsg + " [" + errorCode + "]"), token);
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]"));
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]"));
+    }
+  }
+  /**
+   * Check whether to apply strict (LaTeX-adhering) behavior for unusual
+   * input (like `\\`).  Unlike `nonstrict`, will not throw an error;
+   * instead, "error" translates to a return value of `true`, while "ignore"
+   * translates to a return value of `false`.  May still print a warning:
+   * "warn" prints a warning and returns `false`.
+   * This is for the second category of `errorCode`s listed in the README.
+   */
+  ;
+
+  _proto.useStrictBehavior = function useStrictBehavior(errorCode, errorMsg, token) {
+    var strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      // But catch any exceptions thrown by function, treating them
+      // like "error".
+      try {
+        strict = strict(errorCode, errorMsg, token);
+      } catch (error) {
+        strict = "error";
+      }
+    }
+
+    if (!strict || strict === "ignore") {
+      return false;
+    } else if (strict === true || strict === "error") {
+      return true;
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]"));
+      return false;
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]"));
+      return false;
+    }
+  }
+  /**
+   * Check whether to test potentially dangerous input, and return
+   * `true` (trusted) or `false` (untrusted).  The sole argument `context`
+   * should be an object with `command` field specifying the relevant LaTeX
+   * command (as a string starting with `\`), and any other arguments, etc.
+   * If `context` has a `url` field, a `protocol` field will automatically
+   * get added by this function (changing the specified object).
+   */
+  ;
+
+  _proto.isTrusted = function isTrusted(context) {
+    if (context.url && !context.protocol) {
+      context.protocol = utils.protocolFromUrl(context.url);
+    }
+
+    var trust = typeof this.trust === "function" ? this.trust(context) : this.trust;
+    return Boolean(trust);
+  };
+
+  return Settings;
+}();
+
+
+// CONCATENATED MODULE: ./src/Style.js
+/**
+ * This file contains information and classes for the various kinds of styles
+ * used in TeX. It provides a generic `Style` class, which holds information
+ * about a specific style. It then provides instances of all the different kinds
+ * of styles possible, and provides functions to move between them and get
+ * information about them.
+ */
+
+/**
+ * The main style class. Contains a unique id for the style, a size (which is
+ * the same for cramped and uncramped version of a style), and a cramped flag.
+ */
+var Style =
+/*#__PURE__*/
+function () {
+  function Style(id, size, cramped) {
+    this.id = void 0;
+    this.size = void 0;
+    this.cramped = void 0;
+    this.id = id;
+    this.size = size;
+    this.cramped = cramped;
+  }
+  /**
+   * Get the style of a superscript given a base in the current style.
+   */
+
+
+  var _proto = Style.prototype;
+
+  _proto.sup = function sup() {
+    return Style_styles[_sup[this.id]];
+  }
+  /**
+   * Get the style of a subscript given a base in the current style.
+   */
+  ;
+
+  _proto.sub = function sub() {
+    return Style_styles[_sub[this.id]];
+  }
+  /**
+   * Get the style of a fraction numerator given the fraction in the current
+   * style.
+   */
+  ;
+
+  _proto.fracNum = function fracNum() {
+    return Style_styles[_fracNum[this.id]];
+  }
+  /**
+   * Get the style of a fraction denominator given the fraction in the current
+   * style.
+   */
+  ;
+
+  _proto.fracDen = function fracDen() {
+    return Style_styles[_fracDen[this.id]];
+  }
+  /**
+   * Get the cramped version of a style (in particular, cramping a cramped style
+   * doesn't change the style).
+   */
+  ;
+
+  _proto.cramp = function cramp() {
+    return Style_styles[_cramp[this.id]];
+  }
+  /**
+   * Get a text or display version of this style.
+   */
+  ;
+
+  _proto.text = function text() {
+    return Style_styles[_text[this.id]];
+  }
+  /**
+   * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
+   */
+  ;
+
+  _proto.isTight = function isTight() {
+    return this.size >= 2;
+  };
+
+  return Style;
+}(); // Export an interface for type checking, but don't expose the implementation.
+// This way, no more styles can be generated.
+
+
+// IDs of the different styles
+var D = 0;
+var Dc = 1;
+var T = 2;
+var Tc = 3;
+var S = 4;
+var Sc = 5;
+var SS = 6;
+var SSc = 7; // Instances of the different styles
+
+var Style_styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another
+
+var _sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
+var _sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
+var _fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
+var _fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
+var _cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
+var _text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles.
+
+/* harmony default export */ var src_Style = ({
+  DISPLAY: Style_styles[D],
+  TEXT: Style_styles[T],
+  SCRIPT: Style_styles[S],
+  SCRIPTSCRIPT: Style_styles[SS]
+});
+// CONCATENATED MODULE: ./src/unicodeScripts.js
+/*
+ * This file defines the Unicode scripts and script families that we
+ * support. To add new scripts or families, just add a new entry to the
+ * scriptData array below. Adding scripts to the scriptData array allows
+ * characters from that script to appear in \text{} environments.
+ */
+
+/**
+ * Each script or script family has a name and an array of blocks.
+ * Each block is an array of two numbers which specify the start and
+ * end points (inclusive) of a block of Unicode codepoints.
+ */
+
+/**
+ * Unicode block data for the families of scripts we support in \text{}.
+ * Scripts only need to appear here if they do not have font metrics.
+ */
+var scriptData = [{
+  // Latin characters beyond the Latin-1 characters we have metrics for.
+  // Needed for Czech, Hungarian and Turkish text, for example.
+  name: 'latin',
+  blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B
+  [0x0300, 0x036f]]
+}, {
+  // The Cyrillic script used by Russian and related languages.
+  // A Cyrillic subset used to be supported as explicitly defined
+  // symbols in symbols.js
+  name: 'cyrillic',
+  blocks: [[0x0400, 0x04ff]]
+}, {
+  // The Brahmic scripts of South and Southeast Asia
+  // Devanagari (0900–097F)
+  // Bengali (0980–09FF)
+  // Gurmukhi (0A00–0A7F)
+  // Gujarati (0A80–0AFF)
+  // Oriya (0B00–0B7F)
+  // Tamil (0B80–0BFF)
+  // Telugu (0C00–0C7F)
+  // Kannada (0C80–0CFF)
+  // Malayalam (0D00–0D7F)
+  // Sinhala (0D80–0DFF)
+  // Thai (0E00–0E7F)
+  // Lao (0E80–0EFF)
+  // Tibetan (0F00–0FFF)
+  // Myanmar (1000–109F)
+  name: 'brahmic',
+  blocks: [[0x0900, 0x109F]]
+}, {
+  name: 'georgian',
+  blocks: [[0x10A0, 0x10ff]]
+}, {
+  // Chinese and Japanese.
+  // The "k" in cjk is for Korean, but we've separated Korean out
+  name: "cjk",
+  blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana
+  [0x4E00, 0x9FAF], // CJK ideograms
+  [0xFF00, 0xFF60]]
+}, {
+  // Korean
+  name: 'hangul',
+  blocks: [[0xAC00, 0xD7AF]]
+}];
+/**
+ * Given a codepoint, return the name of the script or script family
+ * it is from, or null if it is not part of a known block
+ */
+
+function scriptFromCodepoint(codepoint) {
+  for (var i = 0; i < scriptData.length; i++) {
+    var script = scriptData[i];
+
+    for (var _i = 0; _i < script.blocks.length; _i++) {
+      var block = script.blocks[_i];
+
+      if (codepoint >= block[0] && codepoint <= block[1]) {
+        return script.name;
+      }
+    }
+  }
+
+  return null;
+}
+/**
+ * A flattened version of all the supported blocks in a single array.
+ * This is an optimization to make supportedCodepoint() fast.
+ */
+
+var allBlocks = [];
+scriptData.forEach(function (s) {
+  return s.blocks.forEach(function (b) {
+    return allBlocks.push.apply(allBlocks, b);
+  });
+});
+/**
+ * Given a codepoint, return true if it falls within one of the
+ * scripts or script families defined above and false otherwise.
+ *
+ * Micro benchmarks shows that this is faster than
+ * /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test()
+ * in Firefox, Chrome and Node.
+ */
+
+function supportedCodepoint(codepoint) {
+  for (var i = 0; i < allBlocks.length; i += 2) {
+    if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) {
+      return true;
+    }
+  }
+
+  return false;
+}
+// CONCATENATED MODULE: ./src/svgGeometry.js
+/**
+ * This file provides support to domTree.js and delimiter.js.
+ * It's a storehouse of path geometry for SVG images.
+ */
+// In all paths below, the viewBox-to-em scale is 1000:1.
+var hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping.
+// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option.
+// Think of variable extraViniculum as two detours in the SVG path.
+// The detour begins at the lower left of the area labeled extraViniculum below.
+// The detour proceeds one extraViniculum distance up and slightly to the right,
+// displacing the radiused corner between surd and viniculum. The radius is
+// traversed as usual, then the detour resumes. It goes right, to the end of
+// the very long viniculumn, then down one extraViniculum distance,
+// after which it resumes regular path geometry for the radical.
+
+/*                                                  viniculum
+                                                   /
+         /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum
+        / █████████████████████←0.04em (40 unit) std viniculum thickness
+       / /
+      / /
+     / /\
+    / / surd
+*/
+
+var sqrtMain = function sqrtMain(extraViniculum, hLinePad) {
+  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
+  return "M95," + (622 + extraViniculum + hLinePad) + "\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl" + extraViniculum / 2.075 + " -" + extraViniculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraViniculum) + "H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM" + (834 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) {
+  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
+  return "M263," + (601 + extraViniculum + hLinePad) + "c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl" + extraViniculum / 2.084 + " -" + extraViniculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraViniculum) + "H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) {
+  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
+  return "M983 " + (10 + extraViniculum + hLinePad) + "\nl" + extraViniculum / 3.13 + " -" + extraViniculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraViniculum) + "\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) {
+  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
+  return "M424," + (2398 + extraViniculum + hLinePad) + "\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl" + extraViniculum / 4.223 + " -" + extraViniculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraViniculum) + "H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M" + (1001 + extraViniculum) + " " + hLinePad + "\nh400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) {
+  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
+  return "M473," + (2713 + extraViniculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraViniculum / 5.298 + " -" + extraViniculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraViniculum) + "H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "H1017.7z";
+};
+
+var sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) {
+  // sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular
+  // One path edge has a variable length. It runs vertically from the viniculumn
+  // to a point near (14 units) the bottom of the surd. The viniculum
+  // is normally 40 units thick. So the length of the line in question is:
+  var vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum;
+  return "M702 " + (extraViniculum + hLinePad) + "H400000" + (40 + extraViniculum) + "\nH742v" + vertSegment + "l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 " + hLinePad + "H400000v" + (40 + extraViniculum) + "H742z";
+};
+
+var sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) {
+  extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox.
+
+  var path = "";
+
+  switch (size) {
+    case "sqrtMain":
+      path = sqrtMain(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize1":
+      path = sqrtSize1(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize2":
+      path = sqrtSize2(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize3":
+      path = sqrtSize3(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize4":
+      path = sqrtSize4(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtTall":
+      path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight);
+  }
+
+  return path;
+};
+var svgGeometry_path = {
+  // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
+  doubleleftarrow: "M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",
+  // doublerightarrow is from glyph U+21D2 in font KaTeX Main
+  doublerightarrow: "M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",
+  // leftarrow is from glyph U+2190 in font KaTeX Main
+  leftarrow: "M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",
+  // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular
+  leftbrace: "M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",
+  leftbraceunder: "M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",
+  // overgroup is from the MnSymbol package (public domain)
+  leftgroup: "M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",
+  leftgroupunder: "M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",
+  // Harpoons are from glyph U+21BD in font KaTeX Main
+  leftharpoon: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",
+  leftharpoonplus: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",
+  leftharpoondown: "M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",
+  leftharpoondownplus: "M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",
+  // hook is from glyph U+21A9 in font KaTeX Main
+  lefthook: "M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",
+  leftlinesegment: "M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",
+  leftmapsto: "M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",
+  // tofrom is from glyph U+21C4 in font KaTeX AMS Regular
+  leftToFrom: "M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",
+  longequal: "M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",
+  midbrace: "M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",
+  midbraceunder: "M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",
+  oiintSize1: "M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",
+  oiintSize2: "M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",
+  oiiintSize1: "M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",
+  oiiintSize2: "M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",
+  rightarrow: "M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",
+  rightbrace: "M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",
+  rightbraceunder: "M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",
+  rightgroup: "M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",
+  rightgroupunder: "M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",
+  rightharpoon: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",
+  rightharpoonplus: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",
+  rightharpoondown: "M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",
+  rightharpoondownplus: "M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",
+  righthook: "M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",
+  rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",
+  rightToFrom: "M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",
+  // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
+  twoheadleftarrow: "M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",
+  twoheadrightarrow: "M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",
+  // tilde1 is a modified version of a glyph from the MnSymbol package
+  tilde1: "M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",
+  // ditto tilde2, tilde3, & tilde4
+  tilde2: "M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",
+  tilde3: "M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",
+  tilde4: "M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",
+  // vec is from glyph U+20D7 in font KaTeX Main
+  vec: "M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",
+  // widehat1 is a modified version of a glyph from the MnSymbol package
+  widehat1: "M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",
+  // ditto widehat2, widehat3, & widehat4
+  widehat2: "M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
+  widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
+  widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
+  // widecheck paths are all inverted versions of widehat
+  widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",
+  widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
+  widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
+  widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
+  // The next ten paths support reaction arrows from the mhchem package.
+  // Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX
+  // baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main
+  baraboveleftarrow: "M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",
+  // rightarrowabovebar is mostly from glyph U+2192, KaTeX Main
+  rightarrowabovebar: "M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",
+  // The short left harpoon has 0.5em (i.e. 500 units) kern on the left end.
+  // Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em
+  baraboveshortleftharpoon: "M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",
+  rightharpoonaboveshortbar: "M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",
+  shortbaraboveleftharpoon: "M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",
+  shortrightharpoonabovebar: "M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"
+};
+// CONCATENATED MODULE: ./src/tree.js
+
+
+/**
+ * This node represents a document fragment, which contains elements, but when
+ * placed into the DOM doesn't have any representation itself. It only contains
+ * children and doesn't have any DOM node properties.
+ */
+var tree_DocumentFragment =
+/*#__PURE__*/
+function () {
+  // HtmlDomNode
+  // Never used; needed for satisfying interface.
+  function DocumentFragment(children) {
+    this.children = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.children = children;
+    this.classes = [];
+    this.height = 0;
+    this.depth = 0;
+    this.maxFontSize = 0;
+    this.style = {};
+  }
+
+  var _proto = DocumentFragment.prototype;
+
+  _proto.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /** Convert the fragment into a node. */
+  ;
+
+  _proto.toNode = function toNode() {
+    var frag = document.createDocumentFragment();
+
+    for (var i = 0; i < this.children.length; i++) {
+      frag.appendChild(this.children[i].toNode());
+    }
+
+    return frag;
+  }
+  /** Convert the fragment into HTML markup. */
+  ;
+
+  _proto.toMarkup = function toMarkup() {
+    var markup = ""; // Simply concatenate the markup for the children together.
+
+    for (var i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText. Applies to
+   * MathDomNode's only.
+   */
+  ;
+
+  _proto.toText = function toText() {
+    // To avoid this, we would subclass documentFragment separately for
+    // MathML, but polyfills for subclassing is expensive per PR 1469.
+    // $FlowFixMe: Only works for ChildType = MathDomNode.
+    var toText = function toText(child) {
+      return child.toText();
+    };
+
+    return this.children.map(toText).join("");
+  };
+
+  return DocumentFragment;
+}();
+// CONCATENATED MODULE: ./src/domTree.js
+/**
+ * These objects store the data about the DOM nodes we create, as well as some
+ * extra data. They can then be transformed into real DOM nodes with the
+ * `toNode` function or HTML markup using `toMarkup`. They are useful for both
+ * storing extra properties on the nodes, as well as providing a way to easily
+ * work with the DOM.
+ *
+ * Similar functions for working with MathML nodes exist in mathMLTree.js.
+ *
+ * TODO: refactor `span` and `anchor` into common superclass when
+ * target environments support class inheritance
+ */
+
+
+
+
+
+/**
+ * Create an HTML className based on a list of classes. In addition to joining
+ * with spaces, we also remove empty classes.
+ */
+var createClass = function createClass(classes) {
+  return classes.filter(function (cls) {
+    return cls;
+  }).join(" ");
+};
+
+var initNode = function initNode(classes, options, style) {
+  this.classes = classes || [];
+  this.attributes = {};
+  this.height = 0;
+  this.depth = 0;
+  this.maxFontSize = 0;
+  this.style = style || {};
+
+  if (options) {
+    if (options.style.isTight()) {
+      this.classes.push("mtight");
+    }
+
+    var color = options.getColor();
+
+    if (color) {
+      this.style.color = color;
+    }
+  }
+};
+/**
+ * Convert into an HTML node
+ */
+
+
+var _toNode = function toNode(tagName) {
+  var node = document.createElement(tagName); // Apply the class
+
+  node.className = createClass(this.classes); // Apply inline styles
+
+  for (var style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      // $FlowFixMe Flow doesn't seem to understand span.style's type.
+      node.style[style] = this.style[style];
+    }
+  } // Apply attributes
+
+
+  for (var attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      node.setAttribute(attr, this.attributes[attr]);
+    }
+  } // Append the children, also as HTML nodes
+
+
+  for (var i = 0; i < this.children.length; i++) {
+    node.appendChild(this.children[i].toNode());
+  }
+
+  return node;
+};
+/**
+ * Convert into an HTML markup string
+ */
+
+
+var _toMarkup = function toMarkup(tagName) {
+  var markup = "<" + tagName; // Add the class
+
+  if (this.classes.length) {
+    markup += " class=\"" + utils.escape(createClass(this.classes)) + "\"";
+  }
+
+  var styles = ""; // Add the styles, after hyphenation
+
+  for (var style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+    }
+  }
+
+  if (styles) {
+    markup += " style=\"" + utils.escape(styles) + "\"";
+  } // Add the attributes
+
+
+  for (var attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      markup += " " + attr + "=\"" + utils.escape(this.attributes[attr]) + "\"";
+    }
+  }
+
+  markup += ">"; // Add the markup of the children, also as markup
+
+  for (var i = 0; i < this.children.length; i++) {
+    markup += this.children[i].toMarkup();
+  }
+
+  markup += "</" + tagName + ">";
+  return markup;
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+// This type does not include all CSS properties. Additional properties should
+// be added as needed.
+
+
+/**
+ * This node represents a span node, with a className, a list of children, and
+ * an inline style. It also contains information about its height, depth, and
+ * maxFontSize.
+ *
+ * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan
+ * otherwise. This typesafety is important when HTML builders access a span's
+ * children.
+ */
+var domTree_Span =
+/*#__PURE__*/
+function () {
+  function Span(classes, children, options, style) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options, style);
+    this.children = children || [];
+  }
+  /**
+   * Sets an arbitrary attribute on the span. Warning: use this wisely. Not
+   * all browsers support attributes the same, and having too many custom
+   * attributes is probably bad.
+   */
+
+
+  var _proto = Span.prototype;
+
+  _proto.setAttribute = function setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  };
+
+  _proto.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  };
+
+  _proto.toNode = function toNode() {
+    return _toNode.call(this, "span");
+  };
+
+  _proto.toMarkup = function toMarkup() {
+    return _toMarkup.call(this, "span");
+  };
+
+  return Span;
+}();
+/**
+ * This node represents an anchor (<a>) element with a hyperlink.  See `span`
+ * for further details.
+ */
+
+var domTree_Anchor =
+/*#__PURE__*/
+function () {
+  function Anchor(href, classes, children, options) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options);
+    this.children = children || [];
+    this.setAttribute('href', href);
+  }
+
+  var _proto2 = Anchor.prototype;
+
+  _proto2.setAttribute = function setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  };
+
+  _proto2.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  };
+
+  _proto2.toNode = function toNode() {
+    return _toNode.call(this, "a");
+  };
+
+  _proto2.toMarkup = function toMarkup() {
+    return _toMarkup.call(this, "a");
+  };
+
+  return Anchor;
+}();
+/**
+ * This node represents an image embed (<img>) element.
+ */
+
+var domTree_Img =
+/*#__PURE__*/
+function () {
+  function Img(src, alt, style) {
+    this.src = void 0;
+    this.alt = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.alt = alt;
+    this.src = src;
+    this.classes = ["mord"];
+    this.style = style;
+  }
+
+  var _proto3 = Img.prototype;
+
+  _proto3.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  };
+
+  _proto3.toNode = function toNode() {
+    var node = document.createElement("img");
+    node.src = this.src;
+    node.alt = this.alt;
+    node.className = "mord"; // Apply inline styles
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        // $FlowFixMe
+        node.style[style] = this.style[style];
+      }
+    }
+
+    return node;
+  };
+
+  _proto3.toMarkup = function toMarkup() {
+    var markup = "<img  src='" + this.src + " 'alt='" + this.alt + "' "; // Add the styles, after hyphenation
+
+    var styles = "";
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+      }
+    }
+
+    if (styles) {
+      markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    markup += "'/>";
+    return markup;
+  };
+
+  return Img;
+}();
+var iCombinations = {
+  'î': "\u0131\u0302",
+  'ï': "\u0131\u0308",
+  'í': "\u0131\u0301",
+  // 'ī': '\u0131\u0304', // enable when we add Extended Latin
+  'ì': "\u0131\u0300"
+};
+/**
+ * A symbol node contains information about a single symbol. It either renders
+ * to a single text node, or a span with a single text node in it, depending on
+ * whether it has CSS classes, styles, or needs italic correction.
+ */
+
+var domTree_SymbolNode =
+/*#__PURE__*/
+function () {
+  function SymbolNode(text, height, depth, italic, skew, width, classes, style) {
+    this.text = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.italic = void 0;
+    this.skew = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.classes = void 0;
+    this.style = void 0;
+    this.text = text;
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.italic = italic || 0;
+    this.skew = skew || 0;
+    this.width = width || 0;
+    this.classes = classes || [];
+    this.style = style || {};
+    this.maxFontSize = 0; // Mark text from non-Latin scripts with specific classes so that we
+    // can specify which fonts to use.  This allows us to render these
+    // characters with a serif font in situations where the browser would
+    // either default to a sans serif or render a placeholder character.
+    // We use CSS class names like cjk_fallback, hangul_fallback and
+    // brahmic_fallback. See ./unicodeScripts.js for the set of possible
+    // script names
+
+    var script = scriptFromCodepoint(this.text.charCodeAt(0));
+
+    if (script) {
+      this.classes.push(script + "_fallback");
+    }
+
+    if (/[îïíì]/.test(this.text)) {
+      // add ī when we add Extended Latin
+      this.text = iCombinations[this.text];
+    }
+  }
+
+  var _proto4 = SymbolNode.prototype;
+
+  _proto4.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /**
+   * Creates a text node or span from a symbol node. Note that a span is only
+   * created if it is needed.
+   */
+  ;
+
+  _proto4.toNode = function toNode() {
+    var node = document.createTextNode(this.text);
+    var span = null;
+
+    if (this.italic > 0) {
+      span = document.createElement("span");
+      span.style.marginRight = this.italic + "em";
+    }
+
+    if (this.classes.length > 0) {
+      span = span || document.createElement("span");
+      span.className = createClass(this.classes);
+    }
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type.
+
+        span.style[style] = this.style[style];
+      }
+    }
+
+    if (span) {
+      span.appendChild(node);
+      return span;
+    } else {
+      return node;
+    }
+  }
+  /**
+   * Creates markup for a symbol node.
+   */
+  ;
+
+  _proto4.toMarkup = function toMarkup() {
+    // TODO(alpert): More duplication than I'd like from
+    // span.prototype.toMarkup and symbolNode.prototype.toNode...
+    var needsSpan = false;
+    var markup = "<span";
+
+    if (this.classes.length) {
+      needsSpan = true;
+      markup += " class=\"";
+      markup += utils.escape(createClass(this.classes));
+      markup += "\"";
+    }
+
+    var styles = "";
+
+    if (this.italic > 0) {
+      styles += "margin-right:" + this.italic + "em;";
+    }
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+      }
+    }
+
+    if (styles) {
+      needsSpan = true;
+      markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    var escaped = utils.escape(this.text);
+
+    if (needsSpan) {
+      markup += ">";
+      markup += escaped;
+      markup += "</span>";
+      return markup;
+    } else {
+      return escaped;
+    }
+  };
+
+  return SymbolNode;
+}();
+/**
+ * SVG nodes are used to render stretchy wide elements.
+ */
+
+var SvgNode =
+/*#__PURE__*/
+function () {
+  function SvgNode(children, attributes) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.children = children || [];
+    this.attributes = attributes || {};
+  }
+
+  var _proto5 = SvgNode.prototype;
+
+  _proto5.toNode = function toNode() {
+    var svgNS = "http://www.w3.org/2000/svg";
+    var node = document.createElementNS(svgNS, "svg"); // Apply attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (var i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  };
+
+  _proto5.toMarkup = function toMarkup() {
+    var markup = "<svg"; // Apply attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "='" + this.attributes[attr] + "'";
+      }
+    }
+
+    markup += ">";
+
+    for (var i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</svg>";
+    return markup;
+  };
+
+  return SvgNode;
+}();
+var domTree_PathNode =
+/*#__PURE__*/
+function () {
+  function PathNode(pathName, alternate) {
+    this.pathName = void 0;
+    this.alternate = void 0;
+    this.pathName = pathName;
+    this.alternate = alternate; // Used only for \sqrt
+  }
+
+  var _proto6 = PathNode.prototype;
+
+  _proto6.toNode = function toNode() {
+    var svgNS = "http://www.w3.org/2000/svg";
+    var node = document.createElementNS(svgNS, "path");
+
+    if (this.alternate) {
+      node.setAttribute("d", this.alternate);
+    } else {
+      node.setAttribute("d", svgGeometry_path[this.pathName]);
+    }
+
+    return node;
+  };
+
+  _proto6.toMarkup = function toMarkup() {
+    if (this.alternate) {
+      return "<path d='" + this.alternate + "'/>";
+    } else {
+      return "<path d='" + svgGeometry_path[this.pathName] + "'/>";
+    }
+  };
+
+  return PathNode;
+}();
+var LineNode =
+/*#__PURE__*/
+function () {
+  function LineNode(attributes) {
+    this.attributes = void 0;
+    this.attributes = attributes || {};
+  }
+
+  var _proto7 = LineNode.prototype;
+
+  _proto7.toNode = function toNode() {
+    var svgNS = "http://www.w3.org/2000/svg";
+    var node = document.createElementNS(svgNS, "line"); // Apply attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    return node;
+  };
+
+  _proto7.toMarkup = function toMarkup() {
+    var markup = "<line";
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "='" + this.attributes[attr] + "'";
+      }
+    }
+
+    markup += "/>";
+    return markup;
+  };
+
+  return LineNode;
+}();
+function assertSymbolDomNode(group) {
+  if (group instanceof domTree_SymbolNode) {
+    return group;
+  } else {
+    throw new Error("Expected symbolNode but got " + String(group) + ".");
+  }
+}
+function assertSpan(group) {
+  if (group instanceof domTree_Span) {
+    return group;
+  } else {
+    throw new Error("Expected span<HtmlDomNode> but got " + String(group) + ".");
+  }
+}
+// CONCATENATED MODULE: ./submodules/katex-fonts/fontMetricsData.js
+// This file is GENERATED by buildMetrics.sh. DO NOT MODIFY.
+/* harmony default export */ var fontMetricsData = ({
+  "AMS-Regular": {
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+    "66": [0, 0.68889, 0, 0, 0.66667],
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+    "68": [0, 0.68889, 0, 0, 0.72222],
+    "69": [0, 0.68889, 0, 0, 0.66667],
+    "70": [0, 0.68889, 0, 0, 0.61111],
+    "71": [0, 0.68889, 0, 0, 0.77778],
+    "72": [0, 0.68889, 0, 0, 0.77778],
+    "73": [0, 0.68889, 0, 0, 0.38889],
+    "74": [0.16667, 0.68889, 0, 0, 0.5],
+    "75": [0, 0.68889, 0, 0, 0.77778],
+    "76": [0, 0.68889, 0, 0, 0.66667],
+    "77": [0, 0.68889, 0, 0, 0.94445],
+    "78": [0, 0.68889, 0, 0, 0.72222],
+    "79": [0.16667, 0.68889, 0, 0, 0.77778],
+    "80": [0, 0.68889, 0, 0, 0.61111],
+    "81": [0.16667, 0.68889, 0, 0, 0.77778],
+    "82": [0, 0.68889, 0, 0, 0.72222],
+    "83": [0, 0.68889, 0, 0, 0.55556],
+    "84": [0, 0.68889, 0, 0, 0.66667],
+    "85": [0, 0.68889, 0, 0, 0.72222],
+    "86": [0, 0.68889, 0, 0, 0.72222],
+    "87": [0, 0.68889, 0, 0, 1.0],
+    "88": [0, 0.68889, 0, 0, 0.72222],
+    "89": [0, 0.68889, 0, 0, 0.72222],
+    "90": [0, 0.68889, 0, 0, 0.66667],
+    "107": [0, 0.68889, 0, 0, 0.55556],
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+    "771": [0, 0.9, 0, 0, 2.33334],
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+    "8622": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8624": [0, 0.69224, 0, 0, 0.5],
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+    "8631": [0, 0.43056, 0, 0, 1.0],
+    "8634": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8635": [0.08198, 0.58198, 0, 0, 0.77778],
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+    "8643": [0.19444, 0.69224, 0, 0, 0.41667],
+    "8644": [0.1808, 0.675, 0, 0, 1.0],
+    "8646": [0.1808, 0.675, 0, 0, 1.0],
+    "8647": [0.1808, 0.675, 0, 0, 1.0],
+    "8648": [0.19444, 0.69224, 0, 0, 0.83334],
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+    "8652": [0.01354, 0.52239, 0, 0, 1.0],
+    "8653": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8654": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8655": [-0.13313, 0.36687, 0, 0, 1.0],
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+    "8667": [0.13667, 0.63667, 0, 0, 1.0],
+    "8669": [-0.13313, 0.37788, 0, 0, 1.0],
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+    "710": [0, 0.72222, 0, 0, 0.55556],
+    "732": [0, 0.72222, 0, 0, 0.55556],
+    "770": [0, 0.72222, 0, 0, 0.55556],
+    "771": [0, 0.72222, 0, 0, 0.55556],
+    "8214": [-0.00099, 0.601, 0, 0, 0.77778],
+    "8593": [1e-05, 0.6, 0, 0, 0.66667],
+    "8595": [1e-05, 0.6, 0, 0, 0.66667],
+    "8657": [1e-05, 0.6, 0, 0, 0.77778],
+    "8659": [1e-05, 0.6, 0, 0, 0.77778],
+    "8719": [0.25001, 0.75, 0, 0, 0.94445],
+    "8720": [0.25001, 0.75, 0, 0, 0.94445],
+    "8721": [0.25001, 0.75, 0, 0, 1.05556],
+    "8730": [0.35001, 0.85, 0, 0, 1.0],
+    "8739": [-0.00599, 0.606, 0, 0, 0.33333],
+    "8741": [-0.00599, 0.606, 0, 0, 0.55556],
+    "8747": [0.30612, 0.805, 0.19445, 0, 0.47222],
+    "8748": [0.306, 0.805, 0.19445, 0, 0.47222],
+    "8749": [0.306, 0.805, 0.19445, 0, 0.47222],
+    "8750": [0.30612, 0.805, 0.19445, 0, 0.47222],
+    "8896": [0.25001, 0.75, 0, 0, 0.83334],
+    "8897": [0.25001, 0.75, 0, 0, 0.83334],
+    "8898": [0.25001, 0.75, 0, 0, 0.83334],
+    "8899": [0.25001, 0.75, 0, 0, 0.83334],
+    "8968": [0.35001, 0.85, 0, 0, 0.47222],
+    "8969": [0.35001, 0.85, 0, 0, 0.47222],
+    "8970": [0.35001, 0.85, 0, 0, 0.47222],
+    "8971": [0.35001, 0.85, 0, 0, 0.47222],
+    "9168": [-0.00099, 0.601, 0, 0, 0.66667],
+    "10216": [0.35001, 0.85, 0, 0, 0.47222],
+    "10217": [0.35001, 0.85, 0, 0, 0.47222],
+    "10752": [0.25001, 0.75, 0, 0, 1.11111],
+    "10753": [0.25001, 0.75, 0, 0, 1.11111],
+    "10754": [0.25001, 0.75, 0, 0, 1.11111],
+    "10756": [0.25001, 0.75, 0, 0, 0.83334],
+    "10758": [0.25001, 0.75, 0, 0, 0.83334]
+  },
+  "Size2-Regular": {
+    "40": [0.65002, 1.15, 0, 0, 0.59722],
+    "41": [0.65002, 1.15, 0, 0, 0.59722],
+    "47": [0.65002, 1.15, 0, 0, 0.81111],
+    "91": [0.65002, 1.15, 0, 0, 0.47222],
+    "92": [0.65002, 1.15, 0, 0, 0.81111],
+    "93": [0.65002, 1.15, 0, 0, 0.47222],
+    "123": [0.65002, 1.15, 0, 0, 0.66667],
+    "125": [0.65002, 1.15, 0, 0, 0.66667],
+    "710": [0, 0.75, 0, 0, 1.0],
+    "732": [0, 0.75, 0, 0, 1.0],
+    "770": [0, 0.75, 0, 0, 1.0],
+    "771": [0, 0.75, 0, 0, 1.0],
+    "8719": [0.55001, 1.05, 0, 0, 1.27778],
+    "8720": [0.55001, 1.05, 0, 0, 1.27778],
+    "8721": [0.55001, 1.05, 0, 0, 1.44445],
+    "8730": [0.65002, 1.15, 0, 0, 1.0],
+    "8747": [0.86225, 1.36, 0.44445, 0, 0.55556],
+    "8748": [0.862, 1.36, 0.44445, 0, 0.55556],
+    "8749": [0.862, 1.36, 0.44445, 0, 0.55556],
+    "8750": [0.86225, 1.36, 0.44445, 0, 0.55556],
+    "8896": [0.55001, 1.05, 0, 0, 1.11111],
+    "8897": [0.55001, 1.05, 0, 0, 1.11111],
+    "8898": [0.55001, 1.05, 0, 0, 1.11111],
+    "8899": [0.55001, 1.05, 0, 0, 1.11111],
+    "8968": [0.65002, 1.15, 0, 0, 0.52778],
+    "8969": [0.65002, 1.15, 0, 0, 0.52778],
+    "8970": [0.65002, 1.15, 0, 0, 0.52778],
+    "8971": [0.65002, 1.15, 0, 0, 0.52778],
+    "10216": [0.65002, 1.15, 0, 0, 0.61111],
+    "10217": [0.65002, 1.15, 0, 0, 0.61111],
+    "10752": [0.55001, 1.05, 0, 0, 1.51112],
+    "10753": [0.55001, 1.05, 0, 0, 1.51112],
+    "10754": [0.55001, 1.05, 0, 0, 1.51112],
+    "10756": [0.55001, 1.05, 0, 0, 1.11111],
+    "10758": [0.55001, 1.05, 0, 0, 1.11111]
+  },
+  "Size3-Regular": {
+    "40": [0.95003, 1.45, 0, 0, 0.73611],
+    "41": [0.95003, 1.45, 0, 0, 0.73611],
+    "47": [0.95003, 1.45, 0, 0, 1.04445],
+    "91": [0.95003, 1.45, 0, 0, 0.52778],
+    "92": [0.95003, 1.45, 0, 0, 1.04445],
+    "93": [0.95003, 1.45, 0, 0, 0.52778],
+    "123": [0.95003, 1.45, 0, 0, 0.75],
+    "125": [0.95003, 1.45, 0, 0, 0.75],
+    "710": [0, 0.75, 0, 0, 1.44445],
+    "732": [0, 0.75, 0, 0, 1.44445],
+    "770": [0, 0.75, 0, 0, 1.44445],
+    "771": [0, 0.75, 0, 0, 1.44445],
+    "8730": [0.95003, 1.45, 0, 0, 1.0],
+    "8968": [0.95003, 1.45, 0, 0, 0.58334],
+    "8969": [0.95003, 1.45, 0, 0, 0.58334],
+    "8970": [0.95003, 1.45, 0, 0, 0.58334],
+    "8971": [0.95003, 1.45, 0, 0, 0.58334],
+    "10216": [0.95003, 1.45, 0, 0, 0.75],
+    "10217": [0.95003, 1.45, 0, 0, 0.75]
+  },
+  "Size4-Regular": {
+    "40": [1.25003, 1.75, 0, 0, 0.79167],
+    "41": [1.25003, 1.75, 0, 0, 0.79167],
+    "47": [1.25003, 1.75, 0, 0, 1.27778],
+    "91": [1.25003, 1.75, 0, 0, 0.58334],
+    "92": [1.25003, 1.75, 0, 0, 1.27778],
+    "93": [1.25003, 1.75, 0, 0, 0.58334],
+    "123": [1.25003, 1.75, 0, 0, 0.80556],
+    "125": [1.25003, 1.75, 0, 0, 0.80556],
+    "710": [0, 0.825, 0, 0, 1.8889],
+    "732": [0, 0.825, 0, 0, 1.8889],
+    "770": [0, 0.825, 0, 0, 1.8889],
+    "771": [0, 0.825, 0, 0, 1.8889],
+    "8730": [1.25003, 1.75, 0, 0, 1.0],
+    "8968": [1.25003, 1.75, 0, 0, 0.63889],
+    "8969": [1.25003, 1.75, 0, 0, 0.63889],
+    "8970": [1.25003, 1.75, 0, 0, 0.63889],
+    "8971": [1.25003, 1.75, 0, 0, 0.63889],
+    "9115": [0.64502, 1.155, 0, 0, 0.875],
+    "9116": [1e-05, 0.6, 0, 0, 0.875],
+    "9117": [0.64502, 1.155, 0, 0, 0.875],
+    "9118": [0.64502, 1.155, 0, 0, 0.875],
+    "9119": [1e-05, 0.6, 0, 0, 0.875],
+    "9120": [0.64502, 1.155, 0, 0, 0.875],
+    "9121": [0.64502, 1.155, 0, 0, 0.66667],
+    "9122": [-0.00099, 0.601, 0, 0, 0.66667],
+    "9123": [0.64502, 1.155, 0, 0, 0.66667],
+    "9124": [0.64502, 1.155, 0, 0, 0.66667],
+    "9125": [-0.00099, 0.601, 0, 0, 0.66667],
+    "9126": [0.64502, 1.155, 0, 0, 0.66667],
+    "9127": [1e-05, 0.9, 0, 0, 0.88889],
+    "9128": [0.65002, 1.15, 0, 0, 0.88889],
+    "9129": [0.90001, 0, 0, 0, 0.88889],
+    "9130": [0, 0.3, 0, 0, 0.88889],
+    "9131": [1e-05, 0.9, 0, 0, 0.88889],
+    "9132": [0.65002, 1.15, 0, 0, 0.88889],
+    "9133": [0.90001, 0, 0, 0, 0.88889],
+    "9143": [0.88502, 0.915, 0, 0, 1.05556],
+    "10216": [1.25003, 1.75, 0, 0, 0.80556],
+    "10217": [1.25003, 1.75, 0, 0, 0.80556],
+    "57344": [-0.00499, 0.605, 0, 0, 1.05556],
+    "57345": [-0.00499, 0.605, 0, 0, 1.05556],
+    "57680": [0, 0.12, 0, 0, 0.45],
+    "57681": [0, 0.12, 0, 0, 0.45],
+    "57682": [0, 0.12, 0, 0, 0.45],
+    "57683": [0, 0.12, 0, 0, 0.45]
+  },
+  "Typewriter-Regular": {
+    "32": [0, 0, 0, 0, 0.525],
+    "33": [0, 0.61111, 0, 0, 0.525],
+    "34": [0, 0.61111, 0, 0, 0.525],
+    "35": [0, 0.61111, 0, 0, 0.525],
+    "36": [0.08333, 0.69444, 0, 0, 0.525],
+    "37": [0.08333, 0.69444, 0, 0, 0.525],
+    "38": [0, 0.61111, 0, 0, 0.525],
+    "39": [0, 0.61111, 0, 0, 0.525],
+    "40": [0.08333, 0.69444, 0, 0, 0.525],
+    "41": [0.08333, 0.69444, 0, 0, 0.525],
+    "42": [0, 0.52083, 0, 0, 0.525],
+    "43": [-0.08056, 0.53055, 0, 0, 0.525],
+    "44": [0.13889, 0.125, 0, 0, 0.525],
+    "45": [-0.08056, 0.53055, 0, 0, 0.525],
+    "46": [0, 0.125, 0, 0, 0.525],
+    "47": [0.08333, 0.69444, 0, 0, 0.525],
+    "48": [0, 0.61111, 0, 0, 0.525],
+    "49": [0, 0.61111, 0, 0, 0.525],
+    "50": [0, 0.61111, 0, 0, 0.525],
+    "51": [0, 0.61111, 0, 0, 0.525],
+    "52": [0, 0.61111, 0, 0, 0.525],
+    "53": [0, 0.61111, 0, 0, 0.525],
+    "54": [0, 0.61111, 0, 0, 0.525],
+    "55": [0, 0.61111, 0, 0, 0.525],
+    "56": [0, 0.61111, 0, 0, 0.525],
+    "57": [0, 0.61111, 0, 0, 0.525],
+    "58": [0, 0.43056, 0, 0, 0.525],
+    "59": [0.13889, 0.43056, 0, 0, 0.525],
+    "60": [-0.05556, 0.55556, 0, 0, 0.525],
+    "61": [-0.19549, 0.41562, 0, 0, 0.525],
+    "62": [-0.05556, 0.55556, 0, 0, 0.525],
+    "63": [0, 0.61111, 0, 0, 0.525],
+    "64": [0, 0.61111, 0, 0, 0.525],
+    "65": [0, 0.61111, 0, 0, 0.525],
+    "66": [0, 0.61111, 0, 0, 0.525],
+    "67": [0, 0.61111, 0, 0, 0.525],
+    "68": [0, 0.61111, 0, 0, 0.525],
+    "69": [0, 0.61111, 0, 0, 0.525],
+    "70": [0, 0.61111, 0, 0, 0.525],
+    "71": [0, 0.61111, 0, 0, 0.525],
+    "72": [0, 0.61111, 0, 0, 0.525],
+    "73": [0, 0.61111, 0, 0, 0.525],
+    "74": [0, 0.61111, 0, 0, 0.525],
+    "75": [0, 0.61111, 0, 0, 0.525],
+    "76": [0, 0.61111, 0, 0, 0.525],
+    "77": [0, 0.61111, 0, 0, 0.525],
+    "78": [0, 0.61111, 0, 0, 0.525],
+    "79": [0, 0.61111, 0, 0, 0.525],
+    "80": [0, 0.61111, 0, 0, 0.525],
+    "81": [0.13889, 0.61111, 0, 0, 0.525],
+    "82": [0, 0.61111, 0, 0, 0.525],
+    "83": [0, 0.61111, 0, 0, 0.525],
+    "84": [0, 0.61111, 0, 0, 0.525],
+    "85": [0, 0.61111, 0, 0, 0.525],
+    "86": [0, 0.61111, 0, 0, 0.525],
+    "87": [0, 0.61111, 0, 0, 0.525],
+    "88": [0, 0.61111, 0, 0, 0.525],
+    "89": [0, 0.61111, 0, 0, 0.525],
+    "90": [0, 0.61111, 0, 0, 0.525],
+    "91": [0.08333, 0.69444, 0, 0, 0.525],
+    "92": [0.08333, 0.69444, 0, 0, 0.525],
+    "93": [0.08333, 0.69444, 0, 0, 0.525],
+    "94": [0, 0.61111, 0, 0, 0.525],
+    "95": [0.09514, 0, 0, 0, 0.525],
+    "96": [0, 0.61111, 0, 0, 0.525],
+    "97": [0, 0.43056, 0, 0, 0.525],
+    "98": [0, 0.61111, 0, 0, 0.525],
+    "99": [0, 0.43056, 0, 0, 0.525],
+    "100": [0, 0.61111, 0, 0, 0.525],
+    "101": [0, 0.43056, 0, 0, 0.525],
+    "102": [0, 0.61111, 0, 0, 0.525],
+    "103": [0.22222, 0.43056, 0, 0, 0.525],
+    "104": [0, 0.61111, 0, 0, 0.525],
+    "105": [0, 0.61111, 0, 0, 0.525],
+    "106": [0.22222, 0.61111, 0, 0, 0.525],
+    "107": [0, 0.61111, 0, 0, 0.525],
+    "108": [0, 0.61111, 0, 0, 0.525],
+    "109": [0, 0.43056, 0, 0, 0.525],
+    "110": [0, 0.43056, 0, 0, 0.525],
+    "111": [0, 0.43056, 0, 0, 0.525],
+    "112": [0.22222, 0.43056, 0, 0, 0.525],
+    "113": [0.22222, 0.43056, 0, 0, 0.525],
+    "114": [0, 0.43056, 0, 0, 0.525],
+    "115": [0, 0.43056, 0, 0, 0.525],
+    "116": [0, 0.55358, 0, 0, 0.525],
+    "117": [0, 0.43056, 0, 0, 0.525],
+    "118": [0, 0.43056, 0, 0, 0.525],
+    "119": [0, 0.43056, 0, 0, 0.525],
+    "120": [0, 0.43056, 0, 0, 0.525],
+    "121": [0.22222, 0.43056, 0, 0, 0.525],
+    "122": [0, 0.43056, 0, 0, 0.525],
+    "123": [0.08333, 0.69444, 0, 0, 0.525],
+    "124": [0.08333, 0.69444, 0, 0, 0.525],
+    "125": [0.08333, 0.69444, 0, 0, 0.525],
+    "126": [0, 0.61111, 0, 0, 0.525],
+    "127": [0, 0.61111, 0, 0, 0.525],
+    "160": [0, 0, 0, 0, 0.525],
+    "176": [0, 0.61111, 0, 0, 0.525],
+    "184": [0.19445, 0, 0, 0, 0.525],
+    "305": [0, 0.43056, 0, 0, 0.525],
+    "567": [0.22222, 0.43056, 0, 0, 0.525],
+    "711": [0, 0.56597, 0, 0, 0.525],
+    "713": [0, 0.56555, 0, 0, 0.525],
+    "714": [0, 0.61111, 0, 0, 0.525],
+    "715": [0, 0.61111, 0, 0, 0.525],
+    "728": [0, 0.61111, 0, 0, 0.525],
+    "730": [0, 0.61111, 0, 0, 0.525],
+    "770": [0, 0.61111, 0, 0, 0.525],
+    "771": [0, 0.61111, 0, 0, 0.525],
+    "776": [0, 0.61111, 0, 0, 0.525],
+    "915": [0, 0.61111, 0, 0, 0.525],
+    "916": [0, 0.61111, 0, 0, 0.525],
+    "920": [0, 0.61111, 0, 0, 0.525],
+    "923": [0, 0.61111, 0, 0, 0.525],
+    "926": [0, 0.61111, 0, 0, 0.525],
+    "928": [0, 0.61111, 0, 0, 0.525],
+    "931": [0, 0.61111, 0, 0, 0.525],
+    "933": [0, 0.61111, 0, 0, 0.525],
+    "934": [0, 0.61111, 0, 0, 0.525],
+    "936": [0, 0.61111, 0, 0, 0.525],
+    "937": [0, 0.61111, 0, 0, 0.525],
+    "8216": [0, 0.61111, 0, 0, 0.525],
+    "8217": [0, 0.61111, 0, 0, 0.525],
+    "8242": [0, 0.61111, 0, 0, 0.525],
+    "9251": [0.11111, 0.21944, 0, 0, 0.525]
+  }
+});
+// CONCATENATED MODULE: ./src/fontMetrics.js
+
+
+/**
+ * This file contains metrics regarding fonts and individual symbols. The sigma
+ * and xi variables, as well as the metricMap map contain data extracted from
+ * TeX, TeX font metrics, and the TTF files. These data are then exposed via the
+ * `metrics` variable and the getCharacterMetrics function.
+ */
+// In TeX, there are actually three sets of dimensions, one for each of
+// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4:
+// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt).  These are
+// provided in the the arrays below, in that order.
+//
+// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively.
+// This was determined by running the following script:
+//
+//     latex -interaction=nonstopmode \
+//     '\documentclass{article}\usepackage{amsmath}\begin{document}' \
+//     '$a$ \expandafter\show\the\textfont2' \
+//     '\expandafter\show\the\scriptfont2' \
+//     '\expandafter\show\the\scriptscriptfont2' \
+//     '\stop'
+//
+// The metrics themselves were retreived using the following commands:
+//
+//     tftopl cmsy10
+//     tftopl cmsy7
+//     tftopl cmsy5
+//
+// The output of each of these commands is quite lengthy.  The only part we
+// care about is the FONTDIMEN section. Each value is measured in EMs.
+var sigmasAndXis = {
+  slant: [0.250, 0.250, 0.250],
+  // sigma1
+  space: [0.000, 0.000, 0.000],
+  // sigma2
+  stretch: [0.000, 0.000, 0.000],
+  // sigma3
+  shrink: [0.000, 0.000, 0.000],
+  // sigma4
+  xHeight: [0.431, 0.431, 0.431],
+  // sigma5
+  quad: [1.000, 1.171, 1.472],
+  // sigma6
+  extraSpace: [0.000, 0.000, 0.000],
+  // sigma7
+  num1: [0.677, 0.732, 0.925],
+  // sigma8
+  num2: [0.394, 0.384, 0.387],
+  // sigma9
+  num3: [0.444, 0.471, 0.504],
+  // sigma10
+  denom1: [0.686, 0.752, 1.025],
+  // sigma11
+  denom2: [0.345, 0.344, 0.532],
+  // sigma12
+  sup1: [0.413, 0.503, 0.504],
+  // sigma13
+  sup2: [0.363, 0.431, 0.404],
+  // sigma14
+  sup3: [0.289, 0.286, 0.294],
+  // sigma15
+  sub1: [0.150, 0.143, 0.200],
+  // sigma16
+  sub2: [0.247, 0.286, 0.400],
+  // sigma17
+  supDrop: [0.386, 0.353, 0.494],
+  // sigma18
+  subDrop: [0.050, 0.071, 0.100],
+  // sigma19
+  delim1: [2.390, 1.700, 1.980],
+  // sigma20
+  delim2: [1.010, 1.157, 1.420],
+  // sigma21
+  axisHeight: [0.250, 0.250, 0.250],
+  // sigma22
+  // These font metrics are extracted from TeX by using tftopl on cmex10.tfm;
+  // they correspond to the font parameters of the extension fonts (family 3).
+  // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to
+  // match cmex7, we'd use cmex7.tfm values for script and scriptscript
+  // values.
+  defaultRuleThickness: [0.04, 0.049, 0.049],
+  // xi8; cmex7: 0.049
+  bigOpSpacing1: [0.111, 0.111, 0.111],
+  // xi9
+  bigOpSpacing2: [0.166, 0.166, 0.166],
+  // xi10
+  bigOpSpacing3: [0.2, 0.2, 0.2],
+  // xi11
+  bigOpSpacing4: [0.6, 0.611, 0.611],
+  // xi12; cmex7: 0.611
+  bigOpSpacing5: [0.1, 0.143, 0.143],
+  // xi13; cmex7: 0.143
+  // The \sqrt rule width is taken from the height of the surd character.
+  // Since we use the same font at all sizes, this thickness doesn't scale.
+  sqrtRuleThickness: [0.04, 0.04, 0.04],
+  // This value determines how large a pt is, for metrics which are defined
+  // in terms of pts.
+  // This value is also used in katex.less; if you change it make sure the
+  // values match.
+  ptPerEm: [10.0, 10.0, 10.0],
+  // The space between adjacent `|` columns in an array definition. From
+  // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm.
+  doubleRuleSep: [0.2, 0.2, 0.2],
+  // The width of separator lines in {array} environments. From
+  // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm.
+  arrayRuleWidth: [0.04, 0.04, 0.04],
+  // Two values from LaTeX source2e:
+  fboxsep: [0.3, 0.3, 0.3],
+  //        3 pt / ptPerEm
+  fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm
+
+}; // This map contains a mapping from font name and character code to character
+// metrics, including height, depth, italic correction, and skew (kern from the
+// character to the corresponding \skewchar)
+// This map is generated via `make metrics`. It should not be changed manually.
+
+ // These are very rough approximations.  We default to Times New Roman which
+// should have Latin-1 and Cyrillic characters, but may not depending on the
+// operating system.  The metrics do not account for extra height from the
+// accents.  In the case of Cyrillic characters which have both ascenders and
+// descenders we prefer approximations with ascenders, primarily to prevent
+// the fraction bar or root line from intersecting the glyph.
+// TODO(kevinb) allow union of multiple glyph metrics for better accuracy.
+
+var extraCharacterMap = {
+  // Latin-1
+  'Å': 'A',
+  'Ç': 'C',
+  'Ð': 'D',
+  'Þ': 'o',
+  'å': 'a',
+  'ç': 'c',
+  'ð': 'd',
+  'þ': 'o',
+  // Cyrillic
+  'А': 'A',
+  'Б': 'B',
+  'В': 'B',
+  'Г': 'F',
+  'Д': 'A',
+  'Е': 'E',
+  'Ж': 'K',
+  'З': '3',
+  'И': 'N',
+  'Й': 'N',
+  'К': 'K',
+  'Л': 'N',
+  'М': 'M',
+  'Н': 'H',
+  'О': 'O',
+  'П': 'N',
+  'Р': 'P',
+  'С': 'C',
+  'Т': 'T',
+  'У': 'y',
+  'Ф': 'O',
+  'Х': 'X',
+  'Ц': 'U',
+  'Ч': 'h',
+  'Ш': 'W',
+  'Щ': 'W',
+  'Ъ': 'B',
+  'Ы': 'X',
+  'Ь': 'B',
+  'Э': '3',
+  'Ю': 'X',
+  'Я': 'R',
+  'а': 'a',
+  'б': 'b',
+  'в': 'a',
+  'г': 'r',
+  'д': 'y',
+  'е': 'e',
+  'ж': 'm',
+  'з': 'e',
+  'и': 'n',
+  'й': 'n',
+  'к': 'n',
+  'л': 'n',
+  'м': 'm',
+  'н': 'n',
+  'о': 'o',
+  'п': 'n',
+  'р': 'p',
+  'с': 'c',
+  'т': 'o',
+  'у': 'y',
+  'ф': 'b',
+  'х': 'x',
+  'ц': 'n',
+  'ч': 'n',
+  'ш': 'w',
+  'щ': 'w',
+  'ъ': 'a',
+  'ы': 'm',
+  'ь': 'a',
+  'э': 'e',
+  'ю': 'm',
+  'я': 'r'
+};
+
+/**
+ * This function adds new font metrics to default metricMap
+ * It can also override existing metrics
+ */
+function setFontMetrics(fontName, metrics) {
+  fontMetricsData[fontName] = metrics;
+}
+/**
+ * This function is a convenience function for looking up information in the
+ * metricMap table. It takes a character as a string, and a font.
+ *
+ * Note: the `width` property may be undefined if fontMetricsData.js wasn't
+ * built using `Make extended_metrics`.
+ */
+
+function getCharacterMetrics(character, font, mode) {
+  if (!fontMetricsData[font]) {
+    throw new Error("Font metrics not found for font: " + font + ".");
+  }
+
+  var ch = character.charCodeAt(0);
+  var metrics = fontMetricsData[font][ch];
+
+  if (!metrics && character[0] in extraCharacterMap) {
+    ch = extraCharacterMap[character[0]].charCodeAt(0);
+    metrics = fontMetricsData[font][ch];
+  }
+
+  if (!metrics && mode === 'text') {
+    // We don't typically have font metrics for Asian scripts.
+    // But since we support them in text mode, we need to return
+    // some sort of metrics.
+    // So if the character is in a script we support but we
+    // don't have metrics for it, just use the metrics for
+    // the Latin capital letter M. This is close enough because
+    // we (currently) only care about the height of the glpyh
+    // not its width.
+    if (supportedCodepoint(ch)) {
+      metrics = fontMetricsData[font][77]; // 77 is the charcode for 'M'
+    }
+  }
+
+  if (metrics) {
+    return {
+      depth: metrics[0],
+      height: metrics[1],
+      italic: metrics[2],
+      skew: metrics[3],
+      width: metrics[4]
+    };
+  }
+}
+var fontMetricsBySizeIndex = {};
+/**
+ * Get the font metrics for a given size.
+ */
+
+function getGlobalMetrics(size) {
+  var sizeIndex;
+
+  if (size >= 5) {
+    sizeIndex = 0;
+  } else if (size >= 3) {
+    sizeIndex = 1;
+  } else {
+    sizeIndex = 2;
+  }
+
+  if (!fontMetricsBySizeIndex[sizeIndex]) {
+    var metrics = fontMetricsBySizeIndex[sizeIndex] = {
+      cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18
+    };
+
+    for (var key in sigmasAndXis) {
+      if (sigmasAndXis.hasOwnProperty(key)) {
+        metrics[key] = sigmasAndXis[key][sizeIndex];
+      }
+    }
+  }
+
+  return fontMetricsBySizeIndex[sizeIndex];
+}
+// CONCATENATED MODULE: ./src/symbols.js
+/**
+ * This file holds a list of all no-argument functions and single-character
+ * symbols (like 'a' or ';').
+ *
+ * For each of the symbols, there are three properties they can have:
+ * - font (required): the font to be used for this symbol. Either "main" (the
+     normal font), or "ams" (the ams fonts).
+ * - group (required): the ParseNode group type the symbol should have (i.e.
+     "textord", "mathord", etc).
+     See https://github.com/KaTeX/KaTeX/wiki/Examining-TeX#group-types
+ * - replace: the character that this symbol or function should be
+ *   replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi
+ *   character in the main font).
+ *
+ * The outermost map in the table indicates what mode the symbols should be
+ * accepted in (e.g. "math" or "text").
+ */
+// Some of these have a "-token" suffix since these are also used as `ParseNode`
+// types for raw text tokens, and we want to avoid conflicts with higher-level
+// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by
+// looking up the `symbols` map.
+var ATOMS = {
+  "bin": 1,
+  "close": 1,
+  "inner": 1,
+  "open": 1,
+  "punct": 1,
+  "rel": 1
+};
+var NON_ATOMS = {
+  "accent-token": 1,
+  "mathord": 1,
+  "op-token": 1,
+  "spacing": 1,
+  "textord": 1
+};
+var symbols = {
+  "math": {},
+  "text": {}
+};
+/* harmony default export */ var src_symbols = (symbols);
+/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */
+
+function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) {
+  symbols[mode][name] = {
+    font: font,
+    group: group,
+    replace: replace
+  };
+
+  if (acceptUnicodeChar && replace) {
+    symbols[mode][replace] = symbols[mode][name];
+  }
+} // Some abbreviations for commonly used strings.
+// This helps minify the code, and also spotting typos using jshint.
+// modes:
+
+var symbols_math = "math";
+var symbols_text = "text"; // fonts:
+
+var main = "main";
+var ams = "ams"; // groups:
+
+var symbols_accent = "accent-token";
+var bin = "bin";
+var symbols_close = "close";
+var symbols_inner = "inner";
+var mathord = "mathord";
+var op = "op-token";
+var symbols_open = "open";
+var punct = "punct";
+var rel = "rel";
+var symbols_spacing = "spacing";
+var symbols_textord = "textord"; // Now comes the symbol table
+// Relation Symbols
+
+defineSymbol(symbols_math, main, rel, "\u2261", "\\equiv", true);
+defineSymbol(symbols_math, main, rel, "\u227A", "\\prec", true);
+defineSymbol(symbols_math, main, rel, "\u227B", "\\succ", true);
+defineSymbol(symbols_math, main, rel, "\u223C", "\\sim", true);
+defineSymbol(symbols_math, main, rel, "\u22A5", "\\perp");
+defineSymbol(symbols_math, main, rel, "\u2AAF", "\\preceq", true);
+defineSymbol(symbols_math, main, rel, "\u2AB0", "\\succeq", true);
+defineSymbol(symbols_math, main, rel, "\u2243", "\\simeq", true);
+defineSymbol(symbols_math, main, rel, "\u2223", "\\mid", true);
+defineSymbol(symbols_math, main, rel, "\u226A", "\\ll", true);
+defineSymbol(symbols_math, main, rel, "\u226B", "\\gg", true);
+defineSymbol(symbols_math, main, rel, "\u224D", "\\asymp", true);
+defineSymbol(symbols_math, main, rel, "\u2225", "\\parallel");
+defineSymbol(symbols_math, main, rel, "\u22C8", "\\bowtie", true);
+defineSymbol(symbols_math, main, rel, "\u2323", "\\smile", true);
+defineSymbol(symbols_math, main, rel, "\u2291", "\\sqsubseteq", true);
+defineSymbol(symbols_math, main, rel, "\u2292", "\\sqsupseteq", true);
+defineSymbol(symbols_math, main, rel, "\u2250", "\\doteq", true);
+defineSymbol(symbols_math, main, rel, "\u2322", "\\frown", true);
+defineSymbol(symbols_math, main, rel, "\u220B", "\\ni", true);
+defineSymbol(symbols_math, main, rel, "\u221D", "\\propto", true);
+defineSymbol(symbols_math, main, rel, "\u22A2", "\\vdash", true);
+defineSymbol(symbols_math, main, rel, "\u22A3", "\\dashv", true);
+defineSymbol(symbols_math, main, rel, "\u220B", "\\owns"); // Punctuation
+
+defineSymbol(symbols_math, main, punct, ".", "\\ldotp");
+defineSymbol(symbols_math, main, punct, "\u22C5", "\\cdotp"); // Misc Symbols
+
+defineSymbol(symbols_math, main, symbols_textord, "#", "\\#");
+defineSymbol(symbols_text, main, symbols_textord, "#", "\\#");
+defineSymbol(symbols_math, main, symbols_textord, "&", "\\&");
+defineSymbol(symbols_text, main, symbols_textord, "&", "\\&");
+defineSymbol(symbols_math, main, symbols_textord, "\u2135", "\\aleph", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2200", "\\forall", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u210F", "\\hbar", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2203", "\\exists", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2207", "\\nabla", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u266D", "\\flat", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2113", "\\ell", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u266E", "\\natural", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2663", "\\clubsuit", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2118", "\\wp", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u266F", "\\sharp", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2662", "\\diamondsuit", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u211C", "\\Re", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2661", "\\heartsuit", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2111", "\\Im", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2660", "\\spadesuit", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xA7", "\\S", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xB6", "\\P", true); // Math and Text
+
+defineSymbol(symbols_math, main, symbols_textord, "\u2020", "\\dag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2020", "\\dag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2020", "\\textdagger");
+defineSymbol(symbols_math, main, symbols_textord, "\u2021", "\\ddag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2021", "\\ddag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters
+
+defineSymbol(symbols_math, main, symbols_close, "\u23B1", "\\rmoustache", true);
+defineSymbol(symbols_math, main, symbols_open, "\u23B0", "\\lmoustache", true);
+defineSymbol(symbols_math, main, symbols_close, "\u27EF", "\\rgroup", true);
+defineSymbol(symbols_math, main, symbols_open, "\u27EE", "\\lgroup", true); // Binary Operators
+
+defineSymbol(symbols_math, main, bin, "\u2213", "\\mp", true);
+defineSymbol(symbols_math, main, bin, "\u2296", "\\ominus", true);
+defineSymbol(symbols_math, main, bin, "\u228E", "\\uplus", true);
+defineSymbol(symbols_math, main, bin, "\u2293", "\\sqcap", true);
+defineSymbol(symbols_math, main, bin, "\u2217", "\\ast");
+defineSymbol(symbols_math, main, bin, "\u2294", "\\sqcup", true);
+defineSymbol(symbols_math, main, bin, "\u25EF", "\\bigcirc");
+defineSymbol(symbols_math, main, bin, "\u2219", "\\bullet");
+defineSymbol(symbols_math, main, bin, "\u2021", "\\ddagger");
+defineSymbol(symbols_math, main, bin, "\u2240", "\\wr", true);
+defineSymbol(symbols_math, main, bin, "\u2A3F", "\\amalg");
+defineSymbol(symbols_math, main, bin, "&", "\\And"); // from amsmath
+// Arrow Symbols
+
+defineSymbol(symbols_math, main, rel, "\u27F5", "\\longleftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D0", "\\Leftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F8", "\\Longleftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F6", "\\longrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D2", "\\Rightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F9", "\\Longrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2194", "\\leftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F7", "\\longleftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D4", "\\Leftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27FA", "\\Longleftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21A6", "\\mapsto", true);
+defineSymbol(symbols_math, main, rel, "\u27FC", "\\longmapsto", true);
+defineSymbol(symbols_math, main, rel, "\u2197", "\\nearrow", true);
+defineSymbol(symbols_math, main, rel, "\u21A9", "\\hookleftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21AA", "\\hookrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2198", "\\searrow", true);
+defineSymbol(symbols_math, main, rel, "\u21BC", "\\leftharpoonup", true);
+defineSymbol(symbols_math, main, rel, "\u21C0", "\\rightharpoonup", true);
+defineSymbol(symbols_math, main, rel, "\u2199", "\\swarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21BD", "\\leftharpoondown", true);
+defineSymbol(symbols_math, main, rel, "\u21C1", "\\rightharpoondown", true);
+defineSymbol(symbols_math, main, rel, "\u2196", "\\nwarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21CC", "\\rightleftharpoons", true); // AMS Negated Binary Relations
+
+defineSymbol(symbols_math, ams, rel, "\u226E", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro.
+
+defineSymbol(symbols_math, ams, rel, "\uE010", "\\@nleqslant");
+defineSymbol(symbols_math, ams, rel, "\uE011", "\\@nleqq");
+defineSymbol(symbols_math, ams, rel, "\u2A87", "\\lneq", true);
+defineSymbol(symbols_math, ams, rel, "\u2268", "\\lneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE00C", "\\@lvertneqq");
+defineSymbol(symbols_math, ams, rel, "\u22E6", "\\lnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A89", "\\lnapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u22E0", "\\npreceq", true);
+defineSymbol(symbols_math, ams, rel, "\u22E8", "\\precnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB9", "\\precnapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u2241", "\\nsim", true);
+defineSymbol(symbols_math, ams, rel, "\uE006", "\\@nshortmid");
+defineSymbol(symbols_math, ams, rel, "\u2224", "\\nmid", true);
+defineSymbol(symbols_math, ams, rel, "\u22AC", "\\nvdash", true);
+defineSymbol(symbols_math, ams, rel, "\u22AD", "\\nvDash", true);
+defineSymbol(symbols_math, ams, rel, "\u22EA", "\\ntriangleleft");
+defineSymbol(symbols_math, ams, rel, "\u22EC", "\\ntrianglelefteq", true);
+defineSymbol(symbols_math, ams, rel, "\u228A", "\\subsetneq", true);
+defineSymbol(symbols_math, ams, rel, "\uE01A", "\\@varsubsetneq");
+defineSymbol(symbols_math, ams, rel, "\u2ACB", "\\subsetneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE017", "\\@varsubsetneqq");
+defineSymbol(symbols_math, ams, rel, "\u226F", "\\ngtr", true);
+defineSymbol(symbols_math, ams, rel, "\uE00F", "\\@ngeqslant");
+defineSymbol(symbols_math, ams, rel, "\uE00E", "\\@ngeqq");
+defineSymbol(symbols_math, ams, rel, "\u2A88", "\\gneq", true);
+defineSymbol(symbols_math, ams, rel, "\u2269", "\\gneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE00D", "\\@gvertneqq");
+defineSymbol(symbols_math, ams, rel, "\u22E7", "\\gnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A8A", "\\gnapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u22E1", "\\nsucceq", true);
+defineSymbol(symbols_math, ams, rel, "\u22E9", "\\succnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2ABA", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u2246", "\\ncong", true);
+defineSymbol(symbols_math, ams, rel, "\uE007", "\\@nshortparallel");
+defineSymbol(symbols_math, ams, rel, "\u2226", "\\nparallel", true);
+defineSymbol(symbols_math, ams, rel, "\u22AF", "\\nVDash", true);
+defineSymbol(symbols_math, ams, rel, "\u22EB", "\\ntriangleright");
+defineSymbol(symbols_math, ams, rel, "\u22ED", "\\ntrianglerighteq", true);
+defineSymbol(symbols_math, ams, rel, "\uE018", "\\@nsupseteqq");
+defineSymbol(symbols_math, ams, rel, "\u228B", "\\supsetneq", true);
+defineSymbol(symbols_math, ams, rel, "\uE01B", "\\@varsupsetneq");
+defineSymbol(symbols_math, ams, rel, "\u2ACC", "\\supsetneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE019", "\\@varsupsetneqq");
+defineSymbol(symbols_math, ams, rel, "\u22AE", "\\nVdash", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB5", "\\precneqq", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB6", "\\succneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE016", "\\@nsubseteqq");
+defineSymbol(symbols_math, ams, bin, "\u22B4", "\\unlhd");
+defineSymbol(symbols_math, ams, bin, "\u22B5", "\\unrhd"); // AMS Negated Arrows
+
+defineSymbol(symbols_math, ams, rel, "\u219A", "\\nleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u219B", "\\nrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21CD", "\\nLeftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21CF", "\\nRightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21AE", "\\nleftrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21CE", "\\nLeftrightarrow", true); // AMS Misc
+
+defineSymbol(symbols_math, ams, rel, "\u25B3", "\\vartriangle");
+defineSymbol(symbols_math, ams, symbols_textord, "\u210F", "\\hslash");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25BD", "\\triangledown");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25CA", "\\lozenge");
+defineSymbol(symbols_math, ams, symbols_textord, "\u24C8", "\\circledS");
+defineSymbol(symbols_math, ams, symbols_textord, "\xAE", "\\circledR");
+defineSymbol(symbols_text, ams, symbols_textord, "\xAE", "\\circledR");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2221", "\\measuredangle", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2204", "\\nexists");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2127", "\\mho");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2132", "\\Finv", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2141", "\\Game", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2035", "\\backprime");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25B2", "\\blacktriangle");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25BC", "\\blacktriangledown");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25A0", "\\blacksquare");
+defineSymbol(symbols_math, ams, symbols_textord, "\u29EB", "\\blacklozenge");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2605", "\\bigstar");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2222", "\\sphericalangle", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 (ð) to \matheth. We map to AMS function \eth
+
+defineSymbol(symbols_math, ams, symbols_textord, "\xF0", "\\eth", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2571", "\\diagup");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2572", "\\diagdown");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25A1", "\\square");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25A1", "\\Box");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25CA", "\\Diamond"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen
+
+defineSymbol(symbols_math, ams, symbols_textord, "\xA5", "\\yen", true);
+defineSymbol(symbols_text, ams, symbols_textord, "\xA5", "\\yen", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2713", "\\checkmark", true);
+defineSymbol(symbols_text, ams, symbols_textord, "\u2713", "\\checkmark"); // AMS Hebrew
+
+defineSymbol(symbols_math, ams, symbols_textord, "\u2136", "\\beth", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2138", "\\daleth", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2137", "\\gimel", true); // AMS Greek
+
+defineSymbol(symbols_math, ams, symbols_textord, "\u03DD", "\\digamma", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u03F0", "\\varkappa"); // AMS Delimiters
+
+defineSymbol(symbols_math, ams, symbols_open, "\u250C", "\\ulcorner", true);
+defineSymbol(symbols_math, ams, symbols_close, "\u2510", "\\urcorner", true);
+defineSymbol(symbols_math, ams, symbols_open, "\u2514", "\\llcorner", true);
+defineSymbol(symbols_math, ams, symbols_close, "\u2518", "\\lrcorner", true); // AMS Binary Relations
+
+defineSymbol(symbols_math, ams, rel, "\u2266", "\\leqq", true);
+defineSymbol(symbols_math, ams, rel, "\u2A7D", "\\leqslant", true);
+defineSymbol(symbols_math, ams, rel, "\u2A95", "\\eqslantless", true);
+defineSymbol(symbols_math, ams, rel, "\u2272", "\\lesssim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A85", "\\lessapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u224A", "\\approxeq", true);
+defineSymbol(symbols_math, ams, bin, "\u22D6", "\\lessdot");
+defineSymbol(symbols_math, ams, rel, "\u22D8", "\\lll", true);
+defineSymbol(symbols_math, ams, rel, "\u2276", "\\lessgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u22DA", "\\lesseqgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u2A8B", "\\lesseqqgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u2251", "\\doteqdot");
+defineSymbol(symbols_math, ams, rel, "\u2253", "\\risingdotseq", true);
+defineSymbol(symbols_math, ams, rel, "\u2252", "\\fallingdotseq", true);
+defineSymbol(symbols_math, ams, rel, "\u223D", "\\backsim", true);
+defineSymbol(symbols_math, ams, rel, "\u22CD", "\\backsimeq", true);
+defineSymbol(symbols_math, ams, rel, "\u2AC5", "\\subseteqq", true);
+defineSymbol(symbols_math, ams, rel, "\u22D0", "\\Subset", true);
+defineSymbol(symbols_math, ams, rel, "\u228F", "\\sqsubset", true);
+defineSymbol(symbols_math, ams, rel, "\u227C", "\\preccurlyeq", true);
+defineSymbol(symbols_math, ams, rel, "\u22DE", "\\curlyeqprec", true);
+defineSymbol(symbols_math, ams, rel, "\u227E", "\\precsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB7", "\\precapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u22B2", "\\vartriangleleft");
+defineSymbol(symbols_math, ams, rel, "\u22B4", "\\trianglelefteq");
+defineSymbol(symbols_math, ams, rel, "\u22A8", "\\vDash", true);
+defineSymbol(symbols_math, ams, rel, "\u22AA", "\\Vvdash", true);
+defineSymbol(symbols_math, ams, rel, "\u2323", "\\smallsmile");
+defineSymbol(symbols_math, ams, rel, "\u2322", "\\smallfrown");
+defineSymbol(symbols_math, ams, rel, "\u224F", "\\bumpeq", true);
+defineSymbol(symbols_math, ams, rel, "\u224E", "\\Bumpeq", true);
+defineSymbol(symbols_math, ams, rel, "\u2267", "\\geqq", true);
+defineSymbol(symbols_math, ams, rel, "\u2A7E", "\\geqslant", true);
+defineSymbol(symbols_math, ams, rel, "\u2A96", "\\eqslantgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u2273", "\\gtrsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A86", "\\gtrapprox", true);
+defineSymbol(symbols_math, ams, bin, "\u22D7", "\\gtrdot");
+defineSymbol(symbols_math, ams, rel, "\u22D9", "\\ggg", true);
+defineSymbol(symbols_math, ams, rel, "\u2277", "\\gtrless", true);
+defineSymbol(symbols_math, ams, rel, "\u22DB", "\\gtreqless", true);
+defineSymbol(symbols_math, ams, rel, "\u2A8C", "\\gtreqqless", true);
+defineSymbol(symbols_math, ams, rel, "\u2256", "\\eqcirc", true);
+defineSymbol(symbols_math, ams, rel, "\u2257", "\\circeq", true);
+defineSymbol(symbols_math, ams, rel, "\u225C", "\\triangleq", true);
+defineSymbol(symbols_math, ams, rel, "\u223C", "\\thicksim");
+defineSymbol(symbols_math, ams, rel, "\u2248", "\\thickapprox");
+defineSymbol(symbols_math, ams, rel, "\u2AC6", "\\supseteqq", true);
+defineSymbol(symbols_math, ams, rel, "\u22D1", "\\Supset", true);
+defineSymbol(symbols_math, ams, rel, "\u2290", "\\sqsupset", true);
+defineSymbol(symbols_math, ams, rel, "\u227D", "\\succcurlyeq", true);
+defineSymbol(symbols_math, ams, rel, "\u22DF", "\\curlyeqsucc", true);
+defineSymbol(symbols_math, ams, rel, "\u227F", "\\succsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB8", "\\succapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u22B3", "\\vartriangleright");
+defineSymbol(symbols_math, ams, rel, "\u22B5", "\\trianglerighteq");
+defineSymbol(symbols_math, ams, rel, "\u22A9", "\\Vdash", true);
+defineSymbol(symbols_math, ams, rel, "\u2223", "\\shortmid");
+defineSymbol(symbols_math, ams, rel, "\u2225", "\\shortparallel");
+defineSymbol(symbols_math, ams, rel, "\u226C", "\\between", true);
+defineSymbol(symbols_math, ams, rel, "\u22D4", "\\pitchfork", true);
+defineSymbol(symbols_math, ams, rel, "\u221D", "\\varpropto");
+defineSymbol(symbols_math, ams, rel, "\u25C0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(symbols_math, ams, rel, "\u2234", "\\therefore", true);
+defineSymbol(symbols_math, ams, rel, "\u220D", "\\backepsilon");
+defineSymbol(symbols_math, ams, rel, "\u25B6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(symbols_math, ams, rel, "\u2235", "\\because", true);
+defineSymbol(symbols_math, ams, rel, "\u22D8", "\\llless");
+defineSymbol(symbols_math, ams, rel, "\u22D9", "\\gggtr");
+defineSymbol(symbols_math, ams, bin, "\u22B2", "\\lhd");
+defineSymbol(symbols_math, ams, bin, "\u22B3", "\\rhd");
+defineSymbol(symbols_math, ams, rel, "\u2242", "\\eqsim", true);
+defineSymbol(symbols_math, main, rel, "\u22C8", "\\Join");
+defineSymbol(symbols_math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators
+
+defineSymbol(symbols_math, ams, bin, "\u2214", "\\dotplus", true);
+defineSymbol(symbols_math, ams, bin, "\u2216", "\\smallsetminus");
+defineSymbol(symbols_math, ams, bin, "\u22D2", "\\Cap", true);
+defineSymbol(symbols_math, ams, bin, "\u22D3", "\\Cup", true);
+defineSymbol(symbols_math, ams, bin, "\u2A5E", "\\doublebarwedge", true);
+defineSymbol(symbols_math, ams, bin, "\u229F", "\\boxminus", true);
+defineSymbol(symbols_math, ams, bin, "\u229E", "\\boxplus", true);
+defineSymbol(symbols_math, ams, bin, "\u22C7", "\\divideontimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22C9", "\\ltimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CA", "\\rtimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CB", "\\leftthreetimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CC", "\\rightthreetimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CF", "\\curlywedge", true);
+defineSymbol(symbols_math, ams, bin, "\u22CE", "\\curlyvee", true);
+defineSymbol(symbols_math, ams, bin, "\u229D", "\\circleddash", true);
+defineSymbol(symbols_math, ams, bin, "\u229B", "\\circledast", true);
+defineSymbol(symbols_math, ams, bin, "\u22C5", "\\centerdot");
+defineSymbol(symbols_math, ams, bin, "\u22BA", "\\intercal", true);
+defineSymbol(symbols_math, ams, bin, "\u22D2", "\\doublecap");
+defineSymbol(symbols_math, ams, bin, "\u22D3", "\\doublecup");
+defineSymbol(symbols_math, ams, bin, "\u22A0", "\\boxtimes", true); // AMS Arrows
+// Note: unicode-math maps \u21e2 to their own function \rightdasharrow.
+// We'll map it to AMS function \dashrightarrow. It produces the same atom.
+
+defineSymbol(symbols_math, ams, rel, "\u21E2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u21E0", "\\dashleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21C7", "\\leftleftarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21C6", "\\leftrightarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21DA", "\\Lleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u219E", "\\twoheadleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21A2", "\\leftarrowtail", true);
+defineSymbol(symbols_math, ams, rel, "\u21AB", "\\looparrowleft", true);
+defineSymbol(symbols_math, ams, rel, "\u21CB", "\\leftrightharpoons", true);
+defineSymbol(symbols_math, ams, rel, "\u21B6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u21BA", "\\circlearrowleft", true);
+defineSymbol(symbols_math, ams, rel, "\u21B0", "\\Lsh", true);
+defineSymbol(symbols_math, ams, rel, "\u21C8", "\\upuparrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21BF", "\\upharpoonleft", true);
+defineSymbol(symbols_math, ams, rel, "\u21C3", "\\downharpoonleft", true);
+defineSymbol(symbols_math, ams, rel, "\u22B8", "\\multimap", true);
+defineSymbol(symbols_math, ams, rel, "\u21AD", "\\leftrightsquigarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21C9", "\\rightrightarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21C4", "\\rightleftarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21A0", "\\twoheadrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21A3", "\\rightarrowtail", true);
+defineSymbol(symbols_math, ams, rel, "\u21AC", "\\looparrowright", true);
+defineSymbol(symbols_math, ams, rel, "\u21B7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u21BB", "\\circlearrowright", true);
+defineSymbol(symbols_math, ams, rel, "\u21B1", "\\Rsh", true);
+defineSymbol(symbols_math, ams, rel, "\u21CA", "\\downdownarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21BE", "\\upharpoonright", true);
+defineSymbol(symbols_math, ams, rel, "\u21C2", "\\downharpoonright", true);
+defineSymbol(symbols_math, ams, rel, "\u21DD", "\\rightsquigarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21DD", "\\leadsto");
+defineSymbol(symbols_math, ams, rel, "\u21DB", "\\Rrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21BE", "\\restriction");
+defineSymbol(symbols_math, main, symbols_textord, "\u2018", "`");
+defineSymbol(symbols_math, main, symbols_textord, "$", "\\$");
+defineSymbol(symbols_text, main, symbols_textord, "$", "\\$");
+defineSymbol(symbols_text, main, symbols_textord, "$", "\\textdollar");
+defineSymbol(symbols_math, main, symbols_textord, "%", "\\%");
+defineSymbol(symbols_text, main, symbols_textord, "%", "\\%");
+defineSymbol(symbols_math, main, symbols_textord, "_", "\\_");
+defineSymbol(symbols_text, main, symbols_textord, "_", "\\_");
+defineSymbol(symbols_text, main, symbols_textord, "_", "\\textunderscore");
+defineSymbol(symbols_math, main, symbols_textord, "\u2220", "\\angle", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u221E", "\\infty", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2032", "\\prime");
+defineSymbol(symbols_math, main, symbols_textord, "\u25B3", "\\triangle");
+defineSymbol(symbols_math, main, symbols_textord, "\u0393", "\\Gamma", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u0394", "\\Delta", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u0398", "\\Theta", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u039B", "\\Lambda", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u039E", "\\Xi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A0", "\\Pi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A3", "\\Sigma", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A5", "\\Upsilon", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A6", "\\Phi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A8", "\\Psi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A9", "\\Omega", true);
+defineSymbol(symbols_math, main, symbols_textord, "A", "\u0391");
+defineSymbol(symbols_math, main, symbols_textord, "B", "\u0392");
+defineSymbol(symbols_math, main, symbols_textord, "E", "\u0395");
+defineSymbol(symbols_math, main, symbols_textord, "Z", "\u0396");
+defineSymbol(symbols_math, main, symbols_textord, "H", "\u0397");
+defineSymbol(symbols_math, main, symbols_textord, "I", "\u0399");
+defineSymbol(symbols_math, main, symbols_textord, "K", "\u039A");
+defineSymbol(symbols_math, main, symbols_textord, "M", "\u039C");
+defineSymbol(symbols_math, main, symbols_textord, "N", "\u039D");
+defineSymbol(symbols_math, main, symbols_textord, "O", "\u039F");
+defineSymbol(symbols_math, main, symbols_textord, "P", "\u03A1");
+defineSymbol(symbols_math, main, symbols_textord, "T", "\u03A4");
+defineSymbol(symbols_math, main, symbols_textord, "X", "\u03A7");
+defineSymbol(symbols_math, main, symbols_textord, "\xAC", "\\neg", true);
+defineSymbol(symbols_math, main, symbols_textord, "\xAC", "\\lnot");
+defineSymbol(symbols_math, main, symbols_textord, "\u22A4", "\\top");
+defineSymbol(symbols_math, main, symbols_textord, "\u22A5", "\\bot");
+defineSymbol(symbols_math, main, symbols_textord, "\u2205", "\\emptyset");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2205", "\\varnothing");
+defineSymbol(symbols_math, main, mathord, "\u03B1", "\\alpha", true);
+defineSymbol(symbols_math, main, mathord, "\u03B2", "\\beta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B3", "\\gamma", true);
+defineSymbol(symbols_math, main, mathord, "\u03B4", "\\delta", true);
+defineSymbol(symbols_math, main, mathord, "\u03F5", "\\epsilon", true);
+defineSymbol(symbols_math, main, mathord, "\u03B6", "\\zeta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B7", "\\eta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B8", "\\theta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B9", "\\iota", true);
+defineSymbol(symbols_math, main, mathord, "\u03BA", "\\kappa", true);
+defineSymbol(symbols_math, main, mathord, "\u03BB", "\\lambda", true);
+defineSymbol(symbols_math, main, mathord, "\u03BC", "\\mu", true);
+defineSymbol(symbols_math, main, mathord, "\u03BD", "\\nu", true);
+defineSymbol(symbols_math, main, mathord, "\u03BE", "\\xi", true);
+defineSymbol(symbols_math, main, mathord, "\u03BF", "\\omicron", true);
+defineSymbol(symbols_math, main, mathord, "\u03C0", "\\pi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C1", "\\rho", true);
+defineSymbol(symbols_math, main, mathord, "\u03C3", "\\sigma", true);
+defineSymbol(symbols_math, main, mathord, "\u03C4", "\\tau", true);
+defineSymbol(symbols_math, main, mathord, "\u03C5", "\\upsilon", true);
+defineSymbol(symbols_math, main, mathord, "\u03D5", "\\phi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C7", "\\chi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C8", "\\psi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C9", "\\omega", true);
+defineSymbol(symbols_math, main, mathord, "\u03B5", "\\varepsilon", true);
+defineSymbol(symbols_math, main, mathord, "\u03D1", "\\vartheta", true);
+defineSymbol(symbols_math, main, mathord, "\u03D6", "\\varpi", true);
+defineSymbol(symbols_math, main, mathord, "\u03F1", "\\varrho", true);
+defineSymbol(symbols_math, main, mathord, "\u03C2", "\\varsigma", true);
+defineSymbol(symbols_math, main, mathord, "\u03C6", "\\varphi", true);
+defineSymbol(symbols_math, main, bin, "\u2217", "*");
+defineSymbol(symbols_math, main, bin, "+", "+");
+defineSymbol(symbols_math, main, bin, "\u2212", "-");
+defineSymbol(symbols_math, main, bin, "\u22C5", "\\cdot", true);
+defineSymbol(symbols_math, main, bin, "\u2218", "\\circ");
+defineSymbol(symbols_math, main, bin, "\xF7", "\\div", true);
+defineSymbol(symbols_math, main, bin, "\xB1", "\\pm", true);
+defineSymbol(symbols_math, main, bin, "\xD7", "\\times", true);
+defineSymbol(symbols_math, main, bin, "\u2229", "\\cap", true);
+defineSymbol(symbols_math, main, bin, "\u222A", "\\cup", true);
+defineSymbol(symbols_math, main, bin, "\u2216", "\\setminus");
+defineSymbol(symbols_math, main, bin, "\u2227", "\\land");
+defineSymbol(symbols_math, main, bin, "\u2228", "\\lor");
+defineSymbol(symbols_math, main, bin, "\u2227", "\\wedge", true);
+defineSymbol(symbols_math, main, bin, "\u2228", "\\vee", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u221A", "\\surd");
+defineSymbol(symbols_math, main, symbols_open, "(", "(");
+defineSymbol(symbols_math, main, symbols_open, "[", "[");
+defineSymbol(symbols_math, main, symbols_open, "\u27E8", "\\langle", true);
+defineSymbol(symbols_math, main, symbols_open, "\u2223", "\\lvert");
+defineSymbol(symbols_math, main, symbols_open, "\u2225", "\\lVert");
+defineSymbol(symbols_math, main, symbols_close, ")", ")");
+defineSymbol(symbols_math, main, symbols_close, "]", "]");
+defineSymbol(symbols_math, main, symbols_close, "?", "?");
+defineSymbol(symbols_math, main, symbols_close, "!", "!");
+defineSymbol(symbols_math, main, symbols_close, "\u27E9", "\\rangle", true);
+defineSymbol(symbols_math, main, symbols_close, "\u2223", "\\rvert");
+defineSymbol(symbols_math, main, symbols_close, "\u2225", "\\rVert");
+defineSymbol(symbols_math, main, rel, "=", "=");
+defineSymbol(symbols_math, main, rel, "<", "<");
+defineSymbol(symbols_math, main, rel, ">", ">");
+defineSymbol(symbols_math, main, rel, ":", ":");
+defineSymbol(symbols_math, main, rel, "\u2248", "\\approx", true);
+defineSymbol(symbols_math, main, rel, "\u2245", "\\cong", true);
+defineSymbol(symbols_math, main, rel, "\u2265", "\\ge");
+defineSymbol(symbols_math, main, rel, "\u2265", "\\geq", true);
+defineSymbol(symbols_math, main, rel, "\u2190", "\\gets");
+defineSymbol(symbols_math, main, rel, ">", "\\gt");
+defineSymbol(symbols_math, main, rel, "\u2208", "\\in", true);
+defineSymbol(symbols_math, main, rel, "\uE020", "\\@not");
+defineSymbol(symbols_math, main, rel, "\u2282", "\\subset", true);
+defineSymbol(symbols_math, main, rel, "\u2283", "\\supset", true);
+defineSymbol(symbols_math, main, rel, "\u2286", "\\subseteq", true);
+defineSymbol(symbols_math, main, rel, "\u2287", "\\supseteq", true);
+defineSymbol(symbols_math, ams, rel, "\u2288", "\\nsubseteq", true);
+defineSymbol(symbols_math, ams, rel, "\u2289", "\\nsupseteq", true);
+defineSymbol(symbols_math, main, rel, "\u22A8", "\\models");
+defineSymbol(symbols_math, main, rel, "\u2190", "\\leftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2264", "\\le");
+defineSymbol(symbols_math, main, rel, "\u2264", "\\leq", true);
+defineSymbol(symbols_math, main, rel, "<", "\\lt");
+defineSymbol(symbols_math, main, rel, "\u2192", "\\rightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2192", "\\to");
+defineSymbol(symbols_math, ams, rel, "\u2271", "\\ngeq", true);
+defineSymbol(symbols_math, ams, rel, "\u2270", "\\nleq", true);
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "\\ ");
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "~");
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%
+
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "\\nobreakspace");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\ ");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "~");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\space");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\nobreakspace");
+defineSymbol(symbols_math, main, symbols_spacing, null, "\\nobreak");
+defineSymbol(symbols_math, main, symbols_spacing, null, "\\allowbreak");
+defineSymbol(symbols_math, main, punct, ",", ",");
+defineSymbol(symbols_math, main, punct, ";", ";");
+defineSymbol(symbols_math, ams, bin, "\u22BC", "\\barwedge", true);
+defineSymbol(symbols_math, ams, bin, "\u22BB", "\\veebar", true);
+defineSymbol(symbols_math, main, bin, "\u2299", "\\odot", true);
+defineSymbol(symbols_math, main, bin, "\u2295", "\\oplus", true);
+defineSymbol(symbols_math, main, bin, "\u2297", "\\otimes", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2202", "\\partial", true);
+defineSymbol(symbols_math, main, bin, "\u2298", "\\oslash", true);
+defineSymbol(symbols_math, ams, bin, "\u229A", "\\circledcirc", true);
+defineSymbol(symbols_math, ams, bin, "\u22A1", "\\boxdot", true);
+defineSymbol(symbols_math, main, bin, "\u25B3", "\\bigtriangleup");
+defineSymbol(symbols_math, main, bin, "\u25BD", "\\bigtriangledown");
+defineSymbol(symbols_math, main, bin, "\u2020", "\\dagger");
+defineSymbol(symbols_math, main, bin, "\u22C4", "\\diamond");
+defineSymbol(symbols_math, main, bin, "\u22C6", "\\star");
+defineSymbol(symbols_math, main, bin, "\u25C3", "\\triangleleft");
+defineSymbol(symbols_math, main, bin, "\u25B9", "\\triangleright");
+defineSymbol(symbols_math, main, symbols_open, "{", "\\{");
+defineSymbol(symbols_text, main, symbols_textord, "{", "\\{");
+defineSymbol(symbols_text, main, symbols_textord, "{", "\\textbraceleft");
+defineSymbol(symbols_math, main, symbols_close, "}", "\\}");
+defineSymbol(symbols_text, main, symbols_textord, "}", "\\}");
+defineSymbol(symbols_text, main, symbols_textord, "}", "\\textbraceright");
+defineSymbol(symbols_math, main, symbols_open, "{", "\\lbrace");
+defineSymbol(symbols_math, main, symbols_close, "}", "\\rbrace");
+defineSymbol(symbols_math, main, symbols_open, "[", "\\lbrack");
+defineSymbol(symbols_text, main, symbols_textord, "[", "\\lbrack");
+defineSymbol(symbols_math, main, symbols_close, "]", "\\rbrack");
+defineSymbol(symbols_text, main, symbols_textord, "]", "\\rbrack");
+defineSymbol(symbols_math, main, symbols_open, "(", "\\lparen");
+defineSymbol(symbols_math, main, symbols_close, ")", "\\rparen");
+defineSymbol(symbols_text, main, symbols_textord, "<", "\\textless"); // in T1 fontenc
+
+defineSymbol(symbols_text, main, symbols_textord, ">", "\\textgreater"); // in T1 fontenc
+
+defineSymbol(symbols_math, main, symbols_open, "\u230A", "\\lfloor", true);
+defineSymbol(symbols_math, main, symbols_close, "\u230B", "\\rfloor", true);
+defineSymbol(symbols_math, main, symbols_open, "\u2308", "\\lceil", true);
+defineSymbol(symbols_math, main, symbols_close, "\u2309", "\\rceil", true);
+defineSymbol(symbols_math, main, symbols_textord, "\\", "\\backslash");
+defineSymbol(symbols_math, main, symbols_textord, "\u2223", "|");
+defineSymbol(symbols_math, main, symbols_textord, "\u2223", "\\vert");
+defineSymbol(symbols_text, main, symbols_textord, "|", "\\textbar"); // in T1 fontenc
+
+defineSymbol(symbols_math, main, symbols_textord, "\u2225", "\\|");
+defineSymbol(symbols_math, main, symbols_textord, "\u2225", "\\Vert");
+defineSymbol(symbols_text, main, symbols_textord, "\u2225", "\\textbardbl");
+defineSymbol(symbols_text, main, symbols_textord, "~", "\\textasciitilde");
+defineSymbol(symbols_text, main, symbols_textord, "\\", "\\textbackslash");
+defineSymbol(symbols_text, main, symbols_textord, "^", "\\textasciicircum");
+defineSymbol(symbols_math, main, rel, "\u2191", "\\uparrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D1", "\\Uparrow", true);
+defineSymbol(symbols_math, main, rel, "\u2193", "\\downarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D3", "\\Downarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2195", "\\updownarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D5", "\\Updownarrow", true);
+defineSymbol(symbols_math, main, op, "\u2210", "\\coprod");
+defineSymbol(symbols_math, main, op, "\u22C1", "\\bigvee");
+defineSymbol(symbols_math, main, op, "\u22C0", "\\bigwedge");
+defineSymbol(symbols_math, main, op, "\u2A04", "\\biguplus");
+defineSymbol(symbols_math, main, op, "\u22C2", "\\bigcap");
+defineSymbol(symbols_math, main, op, "\u22C3", "\\bigcup");
+defineSymbol(symbols_math, main, op, "\u222B", "\\int");
+defineSymbol(symbols_math, main, op, "\u222B", "\\intop");
+defineSymbol(symbols_math, main, op, "\u222C", "\\iint");
+defineSymbol(symbols_math, main, op, "\u222D", "\\iiint");
+defineSymbol(symbols_math, main, op, "\u220F", "\\prod");
+defineSymbol(symbols_math, main, op, "\u2211", "\\sum");
+defineSymbol(symbols_math, main, op, "\u2A02", "\\bigotimes");
+defineSymbol(symbols_math, main, op, "\u2A01", "\\bigoplus");
+defineSymbol(symbols_math, main, op, "\u2A00", "\\bigodot");
+defineSymbol(symbols_math, main, op, "\u222E", "\\oint");
+defineSymbol(symbols_math, main, op, "\u222F", "\\oiint");
+defineSymbol(symbols_math, main, op, "\u2230", "\\oiiint");
+defineSymbol(symbols_math, main, op, "\u2A06", "\\bigsqcup");
+defineSymbol(symbols_math, main, op, "\u222B", "\\smallint");
+defineSymbol(symbols_text, main, symbols_inner, "\u2026", "\\textellipsis");
+defineSymbol(symbols_math, main, symbols_inner, "\u2026", "\\mathellipsis");
+defineSymbol(symbols_text, main, symbols_inner, "\u2026", "\\ldots", true);
+defineSymbol(symbols_math, main, symbols_inner, "\u2026", "\\ldots", true);
+defineSymbol(symbols_math, main, symbols_inner, "\u22EF", "\\@cdots", true);
+defineSymbol(symbols_math, main, symbols_inner, "\u22F1", "\\ddots", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u22EE", "\\varvdots"); // \vdots is a macro
+
+defineSymbol(symbols_math, main, symbols_accent, "\u02CA", "\\acute");
+defineSymbol(symbols_math, main, symbols_accent, "\u02CB", "\\grave");
+defineSymbol(symbols_math, main, symbols_accent, "\xA8", "\\ddot");
+defineSymbol(symbols_math, main, symbols_accent, "~", "\\tilde");
+defineSymbol(symbols_math, main, symbols_accent, "\u02C9", "\\bar");
+defineSymbol(symbols_math, main, symbols_accent, "\u02D8", "\\breve");
+defineSymbol(symbols_math, main, symbols_accent, "\u02C7", "\\check");
+defineSymbol(symbols_math, main, symbols_accent, "^", "\\hat");
+defineSymbol(symbols_math, main, symbols_accent, "\u20D7", "\\vec");
+defineSymbol(symbols_math, main, symbols_accent, "\u02D9", "\\dot");
+defineSymbol(symbols_math, main, symbols_accent, "\u02DA", "\\mathring");
+defineSymbol(symbols_math, main, mathord, "\u0131", "\\imath", true);
+defineSymbol(symbols_math, main, mathord, "\u0237", "\\jmath", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0131", "\\i", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0237", "\\j", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xDF", "\\ss", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xE6", "\\ae", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xE6", "\\ae", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0153", "\\oe", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xF8", "\\o", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xC6", "\\AE", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0152", "\\OE", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xD8", "\\O", true);
+defineSymbol(symbols_text, main, symbols_accent, "\u02CA", "\\'"); // acute
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02CB", "\\`"); // grave
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02C6", "\\^"); // circumflex
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02DC", "\\~"); // tilde
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02C9", "\\="); // macron
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02D8", "\\u"); // breve
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02D9", "\\."); // dot above
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02DA", "\\r"); // ring above
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02C7", "\\v"); // caron
+
+defineSymbol(symbols_text, main, symbols_accent, "\xA8", '\\"'); // diaresis
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02DD", "\\H"); // double acute
+
+defineSymbol(symbols_text, main, symbols_accent, "\u25EF", "\\textcircled"); // \bigcirc glyph
+// These ligatures are detected and created in Parser.js's `formLigatures`.
+
+var ligatures = {
+  "--": true,
+  "---": true,
+  "``": true,
+  "''": true
+};
+defineSymbol(symbols_text, main, symbols_textord, "\u2013", "--");
+defineSymbol(symbols_text, main, symbols_textord, "\u2013", "\\textendash");
+defineSymbol(symbols_text, main, symbols_textord, "\u2014", "---");
+defineSymbol(symbols_text, main, symbols_textord, "\u2014", "\\textemdash");
+defineSymbol(symbols_text, main, symbols_textord, "\u2018", "`");
+defineSymbol(symbols_text, main, symbols_textord, "\u2018", "\\textquoteleft");
+defineSymbol(symbols_text, main, symbols_textord, "\u2019", "'");
+defineSymbol(symbols_text, main, symbols_textord, "\u2019", "\\textquoteright");
+defineSymbol(symbols_text, main, symbols_textord, "\u201C", "``");
+defineSymbol(symbols_text, main, symbols_textord, "\u201C", "\\textquotedblleft");
+defineSymbol(symbols_text, main, symbols_textord, "\u201D", "''");
+defineSymbol(symbols_text, main, symbols_textord, "\u201D", "\\textquotedblright"); //  \degree from gensymb package
+
+defineSymbol(symbols_math, main, symbols_textord, "\xB0", "\\degree", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xB0", "\\degree"); // \textdegree from inputenc package
+
+defineSymbol(symbols_text, main, symbols_textord, "\xB0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math
+// mode, but among our fonts, only Main-Italic defines this character "163".
+
+defineSymbol(symbols_math, main, mathord, "\xA3", "\\pounds");
+defineSymbol(symbols_math, main, mathord, "\xA3", "\\mathsterling", true);
+defineSymbol(symbols_text, main, mathord, "\xA3", "\\pounds");
+defineSymbol(symbols_text, main, mathord, "\xA3", "\\textsterling", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2720", "\\maltese");
+defineSymbol(symbols_text, ams, symbols_textord, "\u2720", "\\maltese");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\ ");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", " ");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "~"); // There are lots of symbols which are the same, so we add them in afterwards.
+// All of these are textords in math mode
+
+var mathTextSymbols = "0123456789/@.\"";
+
+for (var symbols_i = 0; symbols_i < mathTextSymbols.length; symbols_i++) {
+  var symbols_ch = mathTextSymbols.charAt(symbols_i);
+  defineSymbol(symbols_math, main, symbols_textord, symbols_ch, symbols_ch);
+} // All of these are textords in text mode
+
+
+var textSymbols = "0123456789!@*()-=+[]<>|\";:?/.,";
+
+for (var src_symbols_i = 0; src_symbols_i < textSymbols.length; src_symbols_i++) {
+  var _ch = textSymbols.charAt(src_symbols_i);
+
+  defineSymbol(symbols_text, main, symbols_textord, _ch, _ch);
+} // All of these are textords in text mode, and mathords in math mode
+
+
+var letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
+
+for (var symbols_i2 = 0; symbols_i2 < letters.length; symbols_i2++) {
+  var _ch2 = letters.charAt(symbols_i2);
+
+  defineSymbol(symbols_math, main, mathord, _ch2, _ch2);
+  defineSymbol(symbols_text, main, symbols_textord, _ch2, _ch2);
+} // Blackboard bold and script letters in Unicode range
+
+
+defineSymbol(symbols_math, ams, symbols_textord, "C", "\u2102"); // blackboard bold
+
+defineSymbol(symbols_text, ams, symbols_textord, "C", "\u2102");
+defineSymbol(symbols_math, ams, symbols_textord, "H", "\u210D");
+defineSymbol(symbols_text, ams, symbols_textord, "H", "\u210D");
+defineSymbol(symbols_math, ams, symbols_textord, "N", "\u2115");
+defineSymbol(symbols_text, ams, symbols_textord, "N", "\u2115");
+defineSymbol(symbols_math, ams, symbols_textord, "P", "\u2119");
+defineSymbol(symbols_text, ams, symbols_textord, "P", "\u2119");
+defineSymbol(symbols_math, ams, symbols_textord, "Q", "\u211A");
+defineSymbol(symbols_text, ams, symbols_textord, "Q", "\u211A");
+defineSymbol(symbols_math, ams, symbols_textord, "R", "\u211D");
+defineSymbol(symbols_text, ams, symbols_textord, "R", "\u211D");
+defineSymbol(symbols_math, ams, symbols_textord, "Z", "\u2124");
+defineSymbol(symbols_text, ams, symbols_textord, "Z", "\u2124");
+defineSymbol(symbols_math, main, mathord, "h", "\u210E"); // italic h, Planck constant
+
+defineSymbol(symbols_text, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters.
+// We support some letters in the Unicode range U+1D400 to U+1D7FF,
+// Mathematical Alphanumeric Symbols.
+// Some editors do not deal well with wide characters. So don't write the
+// string into this file. Instead, create the string from the surrogate pair.
+
+var symbols_wideChar = "";
+
+for (var symbols_i3 = 0; symbols_i3 < letters.length; symbols_i3++) {
+  var _ch3 = letters.charAt(symbols_i3); // The hex numbers in the next line are a surrogate pair.
+  // 0xD835 is the high surrogate for all letters in the range we support.
+  // 0xDC00 is the low surrogate for bold A.
+
+
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDC00 + symbols_i3); // A-Z a-z bold
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDC34 + symbols_i3); // A-Z a-z italic
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDC68 + symbols_i3); // A-Z a-z bold italic
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDD04 + symbols_i3); // A-Z a-z Fractur
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDDA0 + symbols_i3); // A-Z a-z sans-serif
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDDD4 + symbols_i3); // A-Z a-z sans bold
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDE08 + symbols_i3); // A-Z a-z sans italic
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDE70 + symbols_i3); // A-Z a-z monospace
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+
+  if (symbols_i3 < 26) {
+    // KaTeX fonts have only capital letters for blackboard bold and script.
+    // See exception for k below.
+    symbols_wideChar = String.fromCharCode(0xD835, 0xDD38 + symbols_i3); // A-Z double struck
+
+    defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+    defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+    symbols_wideChar = String.fromCharCode(0xD835, 0xDC9C + symbols_i3); // A-Z script
+
+    defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+    defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  } // TODO: Add bold script when it is supported by a KaTeX font.
+
+} // "k" is the only double struck lower case letter in the KaTeX fonts.
+
+
+symbols_wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck
+
+defineSymbol(symbols_math, main, mathord, "k", symbols_wideChar);
+defineSymbol(symbols_text, main, symbols_textord, "k", symbols_wideChar); // Next, some wide character numerals
+
+for (var symbols_i4 = 0; symbols_i4 < 10; symbols_i4++) {
+  var _ch4 = symbols_i4.toString();
+
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFCE + symbols_i4); // 0-9 bold
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFE2 + symbols_i4); // 0-9 sans serif
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFEC + symbols_i4); // 0-9 bold sans
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFF6 + symbols_i4); // 0-9 monospace
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+} // We add these Latin-1 letters as symbols for backwards-compatibility,
+// but they are not actually in the font, nor are they supported by the
+// Unicode accent mechanism, so they fall back to Times font and look ugly.
+// TODO(edemaine): Fix this.
+
+
+var extraLatin = "ÇÐÞçþ";
+
+for (var _i5 = 0; _i5 < extraLatin.length; _i5++) {
+  var _ch5 = extraLatin.charAt(_i5);
+
+  defineSymbol(symbols_math, main, mathord, _ch5, _ch5);
+  defineSymbol(symbols_text, main, symbols_textord, _ch5, _ch5);
+}
+
+defineSymbol(symbols_text, main, symbols_textord, "ð", "ð"); // Unicode versions of existing characters
+
+defineSymbol(symbols_text, main, symbols_textord, "\u2013", "–");
+defineSymbol(symbols_text, main, symbols_textord, "\u2014", "—");
+defineSymbol(symbols_text, main, symbols_textord, "\u2018", "‘");
+defineSymbol(symbols_text, main, symbols_textord, "\u2019", "’");
+defineSymbol(symbols_text, main, symbols_textord, "\u201C", "“");
+defineSymbol(symbols_text, main, symbols_textord, "\u201D", "”");
+// CONCATENATED MODULE: ./src/wide-character.js
+/**
+ * This file provides support for Unicode range U+1D400 to U+1D7FF,
+ * Mathematical Alphanumeric Symbols.
+ *
+ * Function wideCharacterFont takes a wide character as input and returns
+ * the font information necessary to render it properly.
+ */
+
+/**
+ * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf
+ * That document sorts characters into groups by font type, say bold or italic.
+ *
+ * In the arrays below, each subarray consists three elements:
+ *      * The CSS class of that group when in math mode.
+ *      * The CSS class of that group when in text mode.
+ *      * The font name, so that KaTeX can get font metrics.
+ */
+
+var wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright
+["mathbf", "textbf", "Main-Bold"], // a-z bold upright
+["mathdefault", "textit", "Math-Italic"], // A-Z italic
+["mathdefault", "textit", "Math-Italic"], // a-z italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic
+// Map fancy A-Z letters to script, not calligraphic.
+// This aligns with unicode-math and math fonts (except Cambria Math).
+["mathscr", "textscr", "Script-Regular"], // A-Z script
+["", "", ""], // a-z script.  No font
+["", "", ""], // A-Z bold script. No font
+["", "", ""], // a-z bold script. No font
+["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur
+["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur
+["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck
+["mathbb", "textbb", "AMS-Regular"], // k double-struck
+["", "", ""], // A-Z bold Fraktur No font metrics
+["", "", ""], // a-z bold Fraktur.   No font.
+["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif
+["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif
+["", "", ""], // A-Z bold italic sans. No font
+["", "", ""], // a-z bold italic sans. No font
+["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace
+["mathtt", "texttt", "Typewriter-Regular"]];
+var wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold
+["", "", ""], // 0-9 double-struck. No KaTeX font.
+["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif
+["mathtt", "texttt", "Typewriter-Regular"]];
+var wide_character_wideCharacterFont = function wideCharacterFont(wideChar, mode) {
+  // IE doesn't support codePointAt(). So work with the surrogate pair.
+  var H = wideChar.charCodeAt(0); // high surrogate
+
+  var L = wideChar.charCodeAt(1); // low surrogate
+
+  var codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000;
+  var j = mode === "math" ? 0 : 1; // column index for CSS class.
+
+  if (0x1D400 <= codePoint && codePoint < 0x1D6A4) {
+    // wideLatinLetterData contains exactly 26 chars on each row.
+    // So we can calculate the relevant row. No traverse necessary.
+    var i = Math.floor((codePoint - 0x1D400) / 26);
+    return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]];
+  } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) {
+    // Numerals, ten per row.
+    var _i = Math.floor((codePoint - 0x1D7CE) / 10);
+
+    return [wideNumeralData[_i][2], wideNumeralData[_i][j]];
+  } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) {
+    // dotless i or j
+    return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]];
+  } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) {
+    // Greek letters. Not supported, yet.
+    return ["", ""];
+  } else {
+    // We don't support any wide characters outside 1D400–1D7FF.
+    throw new src_ParseError("Unsupported character: " + wideChar);
+  }
+};
+// CONCATENATED MODULE: ./src/Options.js
+/**
+ * This file contains information about the options that the Parser carries
+ * around with it while parsing. Data is held in an `Options` object, and when
+ * recursing, a new `Options` object can be created with the `.with*` and
+ * `.reset` functions.
+ */
+
+var sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize].
+// The size mappings are taken from TeX with \normalsize=10pt.
+[1, 1, 1], // size1: [5, 5, 5]              \tiny
+[2, 1, 1], // size2: [6, 5, 5]
+[3, 1, 1], // size3: [7, 5, 5]              \scriptsize
+[4, 2, 1], // size4: [8, 6, 5]              \footnotesize
+[5, 2, 1], // size5: [9, 6, 5]              \small
+[6, 3, 1], // size6: [10, 7, 5]             \normalsize
+[7, 4, 2], // size7: [12, 8, 6]             \large
+[8, 6, 3], // size8: [14.4, 10, 7]          \Large
+[9, 7, 6], // size9: [17.28, 12, 10]        \LARGE
+[10, 8, 7], // size10: [20.74, 14.4, 12]     \huge
+[11, 10, 9]];
+var sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if
+// you change size indexes, change that function.
+0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488];
+
+var sizeAtStyle = function sizeAtStyle(size, style) {
+  return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1];
+}; // In these types, "" (empty string) means "no change".
+
+
+/**
+ * This is the main options class. It contains the current style, size, color,
+ * and font.
+ *
+ * Options objects should not be modified. To create a new Options with
+ * different properties, call a `.having*` method.
+ */
+var Options_Options =
+/*#__PURE__*/
+function () {
+  // A font family applies to a group of fonts (i.e. SansSerif), while a font
+  // represents a specific font (i.e. SansSerif Bold).
+  // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm
+
+  /**
+   * The base size index.
+   */
+  function Options(data) {
+    this.style = void 0;
+    this.color = void 0;
+    this.size = void 0;
+    this.textSize = void 0;
+    this.phantom = void 0;
+    this.font = void 0;
+    this.fontFamily = void 0;
+    this.fontWeight = void 0;
+    this.fontShape = void 0;
+    this.sizeMultiplier = void 0;
+    this.maxSize = void 0;
+    this.minRuleThickness = void 0;
+    this._fontMetrics = void 0;
+    this.style = data.style;
+    this.color = data.color;
+    this.size = data.size || Options.BASESIZE;
+    this.textSize = data.textSize || this.size;
+    this.phantom = !!data.phantom;
+    this.font = data.font || "";
+    this.fontFamily = data.fontFamily || "";
+    this.fontWeight = data.fontWeight || '';
+    this.fontShape = data.fontShape || '';
+    this.sizeMultiplier = sizeMultipliers[this.size - 1];
+    this.maxSize = data.maxSize;
+    this.minRuleThickness = data.minRuleThickness;
+    this._fontMetrics = undefined;
+  }
+  /**
+   * Returns a new options object with the same properties as "this".  Properties
+   * from "extension" will be copied to the new options object.
+   */
+
+
+  var _proto = Options.prototype;
+
+  _proto.extend = function extend(extension) {
+    var data = {
+      style: this.style,
+      size: this.size,
+      textSize: this.textSize,
+      color: this.color,
+      phantom: this.phantom,
+      font: this.font,
+      fontFamily: this.fontFamily,
+      fontWeight: this.fontWeight,
+      fontShape: this.fontShape,
+      maxSize: this.maxSize,
+      minRuleThickness: this.minRuleThickness
+    };
+
+    for (var key in extension) {
+      if (extension.hasOwnProperty(key)) {
+        data[key] = extension[key];
+      }
+    }
+
+    return new Options(data);
+  }
+  /**
+   * Return an options object with the given style. If `this.style === style`,
+   * returns `this`.
+   */
+  ;
+
+  _proto.havingStyle = function havingStyle(style) {
+    if (this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: sizeAtStyle(this.textSize, style)
+      });
+    }
+  }
+  /**
+   * Return an options object with a cramped version of the current style. If
+   * the current style is cramped, returns `this`.
+   */
+  ;
+
+  _proto.havingCrampedStyle = function havingCrampedStyle() {
+    return this.havingStyle(this.style.cramp());
+  }
+  /**
+   * Return an options object with the given size and in at least `\textstyle`.
+   * Returns `this` if appropriate.
+   */
+  ;
+
+  _proto.havingSize = function havingSize(size) {
+    if (this.size === size && this.textSize === size) {
+      return this;
+    } else {
+      return this.extend({
+        style: this.style.text(),
+        size: size,
+        textSize: size,
+        sizeMultiplier: sizeMultipliers[size - 1]
+      });
+    }
+  }
+  /**
+   * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted,
+   * changes to at least `\textstyle`.
+   */
+  ;
+
+  _proto.havingBaseStyle = function havingBaseStyle(style) {
+    style = style || this.style.text();
+    var wantSize = sizeAtStyle(Options.BASESIZE, style);
+
+    if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: wantSize
+      });
+    }
+  }
+  /**
+   * Remove the effect of sizing changes such as \Huge.
+   * Keep the effect of the current style, such as \scriptstyle.
+   */
+  ;
+
+  _proto.havingBaseSizing = function havingBaseSizing() {
+    var size;
+
+    switch (this.style.id) {
+      case 4:
+      case 5:
+        size = 3; // normalsize in scriptstyle
+
+        break;
+
+      case 6:
+      case 7:
+        size = 1; // normalsize in scriptscriptstyle
+
+        break;
+
+      default:
+        size = 6;
+      // normalsize in textstyle or displaystyle
+    }
+
+    return this.extend({
+      style: this.style.text(),
+      size: size
+    });
+  }
+  /**
+   * Create a new options object with the given color.
+   */
+  ;
+
+  _proto.withColor = function withColor(color) {
+    return this.extend({
+      color: color
+    });
+  }
+  /**
+   * Create a new options object with "phantom" set to true.
+   */
+  ;
+
+  _proto.withPhantom = function withPhantom() {
+    return this.extend({
+      phantom: true
+    });
+  }
+  /**
+   * Creates a new options object with the given math font or old text font.
+   * @type {[type]}
+   */
+  ;
+
+  _proto.withFont = function withFont(font) {
+    return this.extend({
+      font: font
+    });
+  }
+  /**
+   * Create a new options objects with the given fontFamily.
+   */
+  ;
+
+  _proto.withTextFontFamily = function withTextFontFamily(fontFamily) {
+    return this.extend({
+      fontFamily: fontFamily,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+  ;
+
+  _proto.withTextFontWeight = function withTextFontWeight(fontWeight) {
+    return this.extend({
+      fontWeight: fontWeight,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+  ;
+
+  _proto.withTextFontShape = function withTextFontShape(fontShape) {
+    return this.extend({
+      fontShape: fontShape,
+      font: ""
+    });
+  }
+  /**
+   * Return the CSS sizing classes required to switch from enclosing options
+   * `oldOptions` to `this`. Returns an array of classes.
+   */
+  ;
+
+  _proto.sizingClasses = function sizingClasses(oldOptions) {
+    if (oldOptions.size !== this.size) {
+      return ["sizing", "reset-size" + oldOptions.size, "size" + this.size];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the CSS sizing classes required to switch to the base size. Like
+   * `this.havingSize(BASESIZE).sizingClasses(this)`.
+   */
+  ;
+
+  _proto.baseSizingClasses = function baseSizingClasses() {
+    if (this.size !== Options.BASESIZE) {
+      return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the font metrics for this size.
+   */
+  ;
+
+  _proto.fontMetrics = function fontMetrics() {
+    if (!this._fontMetrics) {
+      this._fontMetrics = getGlobalMetrics(this.size);
+    }
+
+    return this._fontMetrics;
+  }
+  /**
+   * Gets the CSS color of the current options object
+   */
+  ;
+
+  _proto.getColor = function getColor() {
+    if (this.phantom) {
+      return "transparent";
+    } else {
+      return this.color;
+    }
+  };
+
+  return Options;
+}();
+
+Options_Options.BASESIZE = 6;
+/* harmony default export */ var src_Options = (Options_Options);
+// CONCATENATED MODULE: ./src/units.js
+/**
+ * This file does conversion between units.  In particular, it provides
+ * calculateSize to convert other units into ems.
+ */
+
+ // This table gives the number of TeX pts in one of each *absolute* TeX unit.
+// Thus, multiplying a length by this number converts the length from units
+// into pts.  Dividing the result by ptPerEm gives the number of ems
+// *assuming* a font size of ptPerEm (normal size, normal style).
+
+var ptPerUnit = {
+  // https://en.wikibooks.org/wiki/LaTeX/Lengths and
+  // https://tex.stackexchange.com/a/8263
+  "pt": 1,
+  // TeX point
+  "mm": 7227 / 2540,
+  // millimeter
+  "cm": 7227 / 254,
+  // centimeter
+  "in": 72.27,
+  // inch
+  "bp": 803 / 800,
+  // big (PostScript) points
+  "pc": 12,
+  // pica
+  "dd": 1238 / 1157,
+  // didot
+  "cc": 14856 / 1157,
+  // cicero (12 didot)
+  "nd": 685 / 642,
+  // new didot
+  "nc": 1370 / 107,
+  // new cicero (12 new didot)
+  "sp": 1 / 65536,
+  // scaled point (TeX's internal smallest unit)
+  // https://tex.stackexchange.com/a/41371
+  "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX
+
+}; // Dictionary of relative units, for fast validity testing.
+
+var relativeUnit = {
+  "ex": true,
+  "em": true,
+  "mu": true
+};
+
+/**
+ * Determine whether the specified unit (either a string defining the unit
+ * or a "size" parse node containing a unit field) is valid.
+ */
+var validUnit = function validUnit(unit) {
+  if (typeof unit !== "string") {
+    unit = unit.unit;
+  }
+
+  return unit in ptPerUnit || unit in relativeUnit || unit === "ex";
+};
+/*
+ * Convert a "size" parse node (with numeric "number" and string "unit" fields,
+ * as parsed by functions.js argType "size") into a CSS em value for the
+ * current style/scale.  `options` gives the current options.
+ */
+
+var units_calculateSize = function calculateSize(sizeValue, options) {
+  var scale;
+
+  if (sizeValue.unit in ptPerUnit) {
+    // Absolute units
+    scale = ptPerUnit[sizeValue.unit] // Convert unit to pt
+    / options.fontMetrics().ptPerEm // Convert pt to CSS em
+    / options.sizeMultiplier; // Unscale to make absolute units
+  } else if (sizeValue.unit === "mu") {
+    // `mu` units scale with scriptstyle/scriptscriptstyle.
+    scale = options.fontMetrics().cssEmPerMu;
+  } else {
+    // Other relative units always refer to the *textstyle* font
+    // in the current size.
+    var unitOptions;
+
+    if (options.style.isTight()) {
+      // isTight() means current style is script/scriptscript.
+      unitOptions = options.havingStyle(options.style.text());
+    } else {
+      unitOptions = options;
+    } // TODO: In TeX these units are relative to the quad of the current
+    // *text* font, e.g. cmr10. KaTeX instead uses values from the
+    // comparably-sized *Computer Modern symbol* font. At 10pt, these
+    // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641;
+    // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$.
+    // TeX \showlists shows a kern of 1.13889 * fontsize;
+    // KaTeX shows a kern of 1.171 * fontsize.
+
+
+    if (sizeValue.unit === "ex") {
+      scale = unitOptions.fontMetrics().xHeight;
+    } else if (sizeValue.unit === "em") {
+      scale = unitOptions.fontMetrics().quad;
+    } else {
+      throw new src_ParseError("Invalid unit: '" + sizeValue.unit + "'");
+    }
+
+    if (unitOptions !== options) {
+      scale *= unitOptions.sizeMultiplier / options.sizeMultiplier;
+    }
+  }
+
+  return Math.min(sizeValue.number * scale, options.maxSize);
+};
+// CONCATENATED MODULE: ./src/buildCommon.js
+/* eslint no-console:0 */
+
+/**
+ * This module contains general functions that can be used for building
+ * different kinds of domTree nodes in a consistent manner.
+ */
+
+
+
+
+
+
+
+// The following have to be loaded from Main-Italic font, using class mathit
+var mathitLetters = ["\\imath", "ı", // dotless i
+"\\jmath", "ȷ", // dotless j
+"\\pounds", "\\mathsterling", "\\textsterling", "£"];
+/**
+ * Looks up the given symbol in fontMetrics, after applying any symbol
+ * replacements defined in symbol.js
+ */
+
+var buildCommon_lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this.
+fontName, mode) {
+  // Replace the value with its replaced value from symbol.js
+  if (src_symbols[mode][value] && src_symbols[mode][value].replace) {
+    value = src_symbols[mode][value].replace;
+  }
+
+  return {
+    value: value,
+    metrics: getCharacterMetrics(value, fontName, mode)
+  };
+};
+/**
+ * Makes a symbolNode after translation via the list of symbols in symbols.js.
+ * Correctly pulls out metrics for the character, and optionally takes a list of
+ * classes to be attached to the node.
+ *
+ * TODO: make argument order closer to makeSpan
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ * TODO(#953): Make `options` mandatory and always pass it in.
+ */
+
+
+var buildCommon_makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
+  var lookup = buildCommon_lookupSymbol(value, fontName, mode);
+  var metrics = lookup.metrics;
+  value = lookup.value;
+  var symbolNode;
+
+  if (metrics) {
+    var italic = metrics.italic;
+
+    if (mode === "text" || options && options.font === "mathit") {
+      italic = 0;
+    }
+
+    symbolNode = new domTree_SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes);
+  } else {
+    // TODO(emily): Figure out a good way to only print this in development
+    typeof console !== "undefined" && console.warn("No character metrics " + ("for '" + value + "' in style '" + fontName + "' and mode '" + mode + "'"));
+    symbolNode = new domTree_SymbolNode(value, 0, 0, 0, 0, 0, classes);
+  }
+
+  if (options) {
+    symbolNode.maxFontSize = options.sizeMultiplier;
+
+    if (options.style.isTight()) {
+      symbolNode.classes.push("mtight");
+    }
+
+    var color = options.getColor();
+
+    if (color) {
+      symbolNode.style.color = color;
+    }
+  }
+
+  return symbolNode;
+};
+/**
+ * Makes a symbol in Main-Regular or AMS-Regular.
+ * Used for rel, bin, open, close, inner, and punct.
+ */
+
+
+var buildCommon_mathsym = function mathsym(value, mode, options, classes) {
+  if (classes === void 0) {
+    classes = [];
+  }
+
+  // Decide what font to render the symbol in by its entry in the symbols
+  // table.
+  // Have a special case for when the value = \ because the \ is used as a
+  // textord in unsupported command errors but cannot be parsed as a regular
+  // text ordinal and is therefore not present as a symbol in the symbols
+  // table for text, as well as a special case for boldsymbol because it
+  // can be used for bold + and -
+  if (options.font === "boldsymbol" && buildCommon_lookupSymbol(value, "Main-Bold", mode).metrics) {
+    return buildCommon_makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"]));
+  } else if (value === "\\" || src_symbols[mode][value].font === "main") {
+    return buildCommon_makeSymbol(value, "Main-Regular", mode, options, classes);
+  } else {
+    return buildCommon_makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"]));
+  }
+};
+/**
+ * Determines which of the two font names (Main-Italic and Math-Italic) and
+ * corresponding style tags (maindefault or mathit) to use for default math font,
+ * depending on the symbol.
+ */
+
+
+var buildCommon_mathdefault = function mathdefault(value, mode, options, classes) {
+  if (/[0-9]/.test(value.charAt(0)) || // glyphs for \imath and \jmath do not exist in Math-Italic so we
+  // need to use Main-Italic instead
+  utils.contains(mathitLetters, value)) {
+    return {
+      fontName: "Main-Italic",
+      fontClass: "mathit"
+    };
+  } else {
+    return {
+      fontName: "Math-Italic",
+      fontClass: "mathdefault"
+    };
+  }
+};
+/**
+ * Determines which of the font names (Main-Italic, Math-Italic, and Caligraphic)
+ * and corresponding style tags (mathit, mathdefault, or mathcal) to use for font
+ * "mathnormal", depending on the symbol.  Use this function instead of fontMap for
+ * font "mathnormal".
+ */
+
+
+var buildCommon_mathnormal = function mathnormal(value, mode, options, classes) {
+  if (utils.contains(mathitLetters, value)) {
+    return {
+      fontName: "Main-Italic",
+      fontClass: "mathit"
+    };
+  } else if (/[0-9]/.test(value.charAt(0))) {
+    return {
+      fontName: "Caligraphic-Regular",
+      fontClass: "mathcal"
+    };
+  } else {
+    return {
+      fontName: "Math-Italic",
+      fontClass: "mathdefault"
+    };
+  }
+};
+/**
+ * Determines which of the two font names (Main-Bold and Math-BoldItalic) and
+ * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol",
+ * depending on the symbol.  Use this function instead of fontMap for font
+ * "boldsymbol".
+ */
+
+
+var boldsymbol = function boldsymbol(value, mode, options, classes) {
+  if (buildCommon_lookupSymbol(value, "Math-BoldItalic", mode).metrics) {
+    return {
+      fontName: "Math-BoldItalic",
+      fontClass: "boldsymbol"
+    };
+  } else {
+    // Some glyphs do not exist in Math-BoldItalic so we need to use
+    // Main-Bold instead.
+    return {
+      fontName: "Main-Bold",
+      fontClass: "mathbf"
+    };
+  }
+};
+/**
+ * Makes either a mathord or textord in the correct font and color.
+ */
+
+
+var buildCommon_makeOrd = function makeOrd(group, options, type) {
+  var mode = group.mode;
+  var text = group.text;
+  var classes = ["mord"]; // Math mode or Old font (i.e. \rm)
+
+  var isFont = mode === "math" || mode === "text" && options.font;
+  var fontOrFamily = isFont ? options.font : options.fontFamily;
+
+  if (text.charCodeAt(0) === 0xD835) {
+    // surrogate pairs get special treatment
+    var _wideCharacterFont = wide_character_wideCharacterFont(text, mode),
+        wideFontName = _wideCharacterFont[0],
+        wideFontClass = _wideCharacterFont[1];
+
+    return buildCommon_makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass));
+  } else if (fontOrFamily) {
+    var fontName;
+    var fontClasses;
+
+    if (fontOrFamily === "boldsymbol" || fontOrFamily === "mathnormal") {
+      var fontData = fontOrFamily === "boldsymbol" ? boldsymbol(text, mode, options, classes) : buildCommon_mathnormal(text, mode, options, classes);
+      fontName = fontData.fontName;
+      fontClasses = [fontData.fontClass];
+    } else if (utils.contains(mathitLetters, text)) {
+      fontName = "Main-Italic";
+      fontClasses = ["mathit"];
+    } else if (isFont) {
+      fontName = fontMap[fontOrFamily].fontName;
+      fontClasses = [fontOrFamily];
+    } else {
+      fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape);
+      fontClasses = [fontOrFamily, options.fontWeight, options.fontShape];
+    }
+
+    if (buildCommon_lookupSymbol(text, fontName, mode).metrics) {
+      return buildCommon_makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
+    } else if (ligatures.hasOwnProperty(text) && fontName.substr(0, 10) === "Typewriter") {
+      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
+      var parts = [];
+
+      for (var i = 0; i < text.length; i++) {
+        parts.push(buildCommon_makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses)));
+      }
+
+      return buildCommon_makeFragment(parts);
+    }
+  } // Makes a symbol in the default font for mathords and textords.
+
+
+  if (type === "mathord") {
+    var fontLookup = buildCommon_mathdefault(text, mode, options, classes);
+    return buildCommon_makeSymbol(text, fontLookup.fontName, mode, options, classes.concat([fontLookup.fontClass]));
+  } else if (type === "textord") {
+    var font = src_symbols[mode][text] && src_symbols[mode][text].font;
+
+    if (font === "ams") {
+      var _fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape);
+
+      return buildCommon_makeSymbol(text, _fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape));
+    } else if (font === "main" || !font) {
+      var _fontName2 = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
+
+      return buildCommon_makeSymbol(text, _fontName2, mode, options, classes.concat(options.fontWeight, options.fontShape));
+    } else {
+      // fonts added by plugins
+      var _fontName3 = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class
+
+
+      return buildCommon_makeSymbol(text, _fontName3, mode, options, classes.concat(_fontName3, options.fontWeight, options.fontShape));
+    }
+  } else {
+    throw new Error("unexpected type: " + type + " in makeOrd");
+  }
+};
+/**
+ * Returns true if subsequent symbolNodes have the same classes, skew, maxFont,
+ * and styles.
+ */
+
+
+var buildCommon_canCombine = function canCombine(prev, next) {
+  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
+    return false;
+  }
+
+  for (var style in prev.style) {
+    if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
+      return false;
+    }
+  }
+
+  for (var _style in next.style) {
+    if (next.style.hasOwnProperty(_style) && prev.style[_style] !== next.style[_style]) {
+      return false;
+    }
+  }
+
+  return true;
+};
+/**
+ * Combine consequetive domTree.symbolNodes into a single symbolNode.
+ * Note: this function mutates the argument.
+ */
+
+
+var buildCommon_tryCombineChars = function tryCombineChars(chars) {
+  for (var i = 0; i < chars.length - 1; i++) {
+    var prev = chars[i];
+    var next = chars[i + 1];
+
+    if (prev instanceof domTree_SymbolNode && next instanceof domTree_SymbolNode && buildCommon_canCombine(prev, next)) {
+      prev.text += next.text;
+      prev.height = Math.max(prev.height, next.height);
+      prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use
+      // it to add padding to the right of the span created from
+      // the combined characters.
+
+      prev.italic = next.italic;
+      chars.splice(i + 1, 1);
+      i--;
+    }
+  }
+
+  return chars;
+};
+/**
+ * Calculate the height, depth, and maxFontSize of an element based on its
+ * children.
+ */
+
+
+var sizeElementFromChildren = function sizeElementFromChildren(elem) {
+  var height = 0;
+  var depth = 0;
+  var maxFontSize = 0;
+
+  for (var i = 0; i < elem.children.length; i++) {
+    var child = elem.children[i];
+
+    if (child.height > height) {
+      height = child.height;
+    }
+
+    if (child.depth > depth) {
+      depth = child.depth;
+    }
+
+    if (child.maxFontSize > maxFontSize) {
+      maxFontSize = child.maxFontSize;
+    }
+  }
+
+  elem.height = height;
+  elem.depth = depth;
+  elem.maxFontSize = maxFontSize;
+};
+/**
+ * Makes a span with the given list of classes, list of children, and options.
+ *
+ * TODO(#953): Ensure that `options` is always provided (currently some call
+ * sites don't pass it) and make the type below mandatory.
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ */
+
+
+var buildCommon_makeSpan = function makeSpan(classes, children, options, style) {
+  var span = new domTree_Span(classes, children, options, style);
+  sizeElementFromChildren(span);
+  return span;
+}; // SVG one is simpler -- doesn't require height, depth, max-font setting.
+// This is also a separate method for typesafety.
+
+
+var buildCommon_makeSvgSpan = function makeSvgSpan(classes, children, options, style) {
+  return new domTree_Span(classes, children, options, style);
+};
+
+var makeLineSpan = function makeLineSpan(className, options, thickness) {
+  var line = buildCommon_makeSpan([className], [], options);
+  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
+  line.style.borderBottomWidth = line.height + "em";
+  line.maxFontSize = 1.0;
+  return line;
+};
+/**
+ * Makes an anchor with the given href, list of classes, list of children,
+ * and options.
+ */
+
+
+var buildCommon_makeAnchor = function makeAnchor(href, classes, children, options) {
+  var anchor = new domTree_Anchor(href, classes, children, options);
+  sizeElementFromChildren(anchor);
+  return anchor;
+};
+/**
+ * Makes a document fragment with the given list of children.
+ */
+
+
+var buildCommon_makeFragment = function makeFragment(children) {
+  var fragment = new tree_DocumentFragment(children);
+  sizeElementFromChildren(fragment);
+  return fragment;
+};
+/**
+ * Wraps group in a span if it's a document fragment, allowing to apply classes
+ * and styles
+ */
+
+
+var buildCommon_wrapFragment = function wrapFragment(group, options) {
+  if (group instanceof tree_DocumentFragment) {
+    return buildCommon_makeSpan([], [group], options);
+  }
+
+  return group;
+}; // These are exact object types to catch typos in the names of the optional fields.
+
+
+// Computes the updated `children` list and the overall depth.
+//
+// This helper function for makeVList makes it easier to enforce type safety by
+// allowing early exits (returns) in the logic.
+var getVListChildrenAndDepth = function getVListChildrenAndDepth(params) {
+  if (params.positionType === "individualShift") {
+    var oldChildren = params.children;
+    var children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be
+    // shifted to the correct specified shift
+
+    var _depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
+
+    var currPos = _depth;
+
+    for (var i = 1; i < oldChildren.length; i++) {
+      var diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth;
+      var size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth);
+      currPos = currPos + diff;
+      children.push({
+        type: "kern",
+        size: size
+      });
+      children.push(oldChildren[i]);
+    }
+
+    return {
+      children: children,
+      depth: _depth
+    };
+  }
+
+  var depth;
+
+  if (params.positionType === "top") {
+    // We always start at the bottom, so calculate the bottom by adding up
+    // all the sizes
+    var bottom = params.positionData;
+
+    for (var _i = 0; _i < params.children.length; _i++) {
+      var child = params.children[_i];
+      bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth;
+    }
+
+    depth = bottom;
+  } else if (params.positionType === "bottom") {
+    depth = -params.positionData;
+  } else {
+    var firstChild = params.children[0];
+
+    if (firstChild.type !== "elem") {
+      throw new Error('First child must have type "elem".');
+    }
+
+    if (params.positionType === "shift") {
+      depth = -firstChild.elem.depth - params.positionData;
+    } else if (params.positionType === "firstBaseline") {
+      depth = -firstChild.elem.depth;
+    } else {
+      throw new Error("Invalid positionType " + params.positionType + ".");
+    }
+  }
+
+  return {
+    children: params.children,
+    depth: depth
+  };
+};
+/**
+ * Makes a vertical list by stacking elements and kerns on top of each other.
+ * Allows for many different ways of specifying the positioning method.
+ *
+ * See VListParam documentation above.
+ */
+
+
+var buildCommon_makeVList = function makeVList(params, options) {
+  var _getVListChildrenAndD = getVListChildrenAndDepth(params),
+      children = _getVListChildrenAndD.children,
+      depth = _getVListChildrenAndD.depth; // Create a strut that is taller than any list item. The strut is added to
+  // each item, where it will determine the item's baseline. Since it has
+  // `overflow:hidden`, the strut's top edge will sit on the item's line box's
+  // top edge and the strut's bottom edge will sit on the item's baseline,
+  // with no additional line-height spacing. This allows the item baseline to
+  // be positioned precisely without worrying about font ascent and
+  // line-height.
+
+
+  var pstrutSize = 0;
+
+  for (var i = 0; i < children.length; i++) {
+    var child = children[i];
+
+    if (child.type === "elem") {
+      var elem = child.elem;
+      pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height);
+    }
+  }
+
+  pstrutSize += 2;
+  var pstrut = buildCommon_makeSpan(["pstrut"], []);
+  pstrut.style.height = pstrutSize + "em"; // Create a new list of actual children at the correct offsets
+
+  var realChildren = [];
+  var minPos = depth;
+  var maxPos = depth;
+  var currPos = depth;
+
+  for (var _i2 = 0; _i2 < children.length; _i2++) {
+    var _child = children[_i2];
+
+    if (_child.type === "kern") {
+      currPos += _child.size;
+    } else {
+      var _elem = _child.elem;
+      var classes = _child.wrapperClasses || [];
+      var style = _child.wrapperStyle || {};
+      var childWrap = buildCommon_makeSpan(classes, [pstrut, _elem], undefined, style);
+      childWrap.style.top = -pstrutSize - currPos - _elem.depth + "em";
+
+      if (_child.marginLeft) {
+        childWrap.style.marginLeft = _child.marginLeft;
+      }
+
+      if (_child.marginRight) {
+        childWrap.style.marginRight = _child.marginRight;
+      }
+
+      realChildren.push(childWrap);
+      currPos += _elem.height + _elem.depth;
+    }
+
+    minPos = Math.min(minPos, currPos);
+    maxPos = Math.max(maxPos, currPos);
+  } // The vlist contents go in a table-cell with `vertical-align:bottom`.
+  // This cell's bottom edge will determine the containing table's baseline
+  // without overly expanding the containing line-box.
+
+
+  var vlist = buildCommon_makeSpan(["vlist"], realChildren);
+  vlist.style.height = maxPos + "em"; // A second row is used if necessary to represent the vlist's depth.
+
+  var rows;
+
+  if (minPos < 0) {
+    // We will define depth in an empty span with display: table-cell.
+    // It should render with the height that we define. But Chrome, in
+    // contenteditable mode only, treats that span as if it contains some
+    // text content. And that min-height over-rides our desired height.
+    // So we put another empty span inside the depth strut span.
+    var emptySpan = buildCommon_makeSpan([], []);
+    var depthStrut = buildCommon_makeSpan(["vlist"], [emptySpan]);
+    depthStrut.style.height = -minPos + "em"; // Safari wants the first row to have inline content; otherwise it
+    // puts the bottom of the *second* row on the baseline.
+
+    var topStrut = buildCommon_makeSpan(["vlist-s"], [new domTree_SymbolNode("\u200B")]);
+    rows = [buildCommon_makeSpan(["vlist-r"], [vlist, topStrut]), buildCommon_makeSpan(["vlist-r"], [depthStrut])];
+  } else {
+    rows = [buildCommon_makeSpan(["vlist-r"], [vlist])];
+  }
+
+  var vtable = buildCommon_makeSpan(["vlist-t"], rows);
+
+  if (rows.length === 2) {
+    vtable.classes.push("vlist-t2");
+  }
+
+  vtable.height = maxPos;
+  vtable.depth = -minPos;
+  return vtable;
+}; // Glue is a concept from TeX which is a flexible space between elements in
+// either a vertical or horizontal list. In KaTeX, at least for now, it's
+// static space between elements in a horizontal layout.
+
+
+var buildCommon_makeGlue = function makeGlue(measurement, options) {
+  // Make an empty span for the space
+  var rule = buildCommon_makeSpan(["mspace"], [], options);
+  var size = units_calculateSize(measurement, options);
+  rule.style.marginRight = size + "em";
+  return rule;
+}; // Takes font options, and returns the appropriate fontLookup name
+
+
+var retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) {
+  var baseFontName = "";
+
+  switch (fontFamily) {
+    case "amsrm":
+      baseFontName = "AMS";
+      break;
+
+    case "textrm":
+      baseFontName = "Main";
+      break;
+
+    case "textsf":
+      baseFontName = "SansSerif";
+      break;
+
+    case "texttt":
+      baseFontName = "Typewriter";
+      break;
+
+    default:
+      baseFontName = fontFamily;
+    // use fonts added by a plugin
+  }
+
+  var fontStylesName;
+
+  if (fontWeight === "textbf" && fontShape === "textit") {
+    fontStylesName = "BoldItalic";
+  } else if (fontWeight === "textbf") {
+    fontStylesName = "Bold";
+  } else if (fontWeight === "textit") {
+    fontStylesName = "Italic";
+  } else {
+    fontStylesName = "Regular";
+  }
+
+  return baseFontName + "-" + fontStylesName;
+};
+/**
+ * Maps TeX font commands to objects containing:
+ * - variant: string used for "mathvariant" attribute in buildMathML.js
+ * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics
+ */
+// A map between tex font commands an MathML mathvariant attribute values
+
+
+var fontMap = {
+  // styles
+  "mathbf": {
+    variant: "bold",
+    fontName: "Main-Bold"
+  },
+  "mathrm": {
+    variant: "normal",
+    fontName: "Main-Regular"
+  },
+  "textit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  "mathit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  // Default math font, "mathnormal" and "boldsymbol" are missing because they
+  // require the use of several fonts: Main-Italic and Math-Italic for default
+  // math font, Main-Italic, Math-Italic, Caligraphic for "mathnormal", and
+  // Math-BoldItalic and Main-Bold for "boldsymbol".  This is handled by a
+  // special case in makeOrd which ends up calling mathdefault, mathnormal,
+  // and boldsymbol.
+  // families
+  "mathbb": {
+    variant: "double-struck",
+    fontName: "AMS-Regular"
+  },
+  "mathcal": {
+    variant: "script",
+    fontName: "Caligraphic-Regular"
+  },
+  "mathfrak": {
+    variant: "fraktur",
+    fontName: "Fraktur-Regular"
+  },
+  "mathscr": {
+    variant: "script",
+    fontName: "Script-Regular"
+  },
+  "mathsf": {
+    variant: "sans-serif",
+    fontName: "SansSerif-Regular"
+  },
+  "mathtt": {
+    variant: "monospace",
+    fontName: "Typewriter-Regular"
+  }
+};
+var svgData = {
+  //   path, width, height
+  vec: ["vec", 0.471, 0.714],
+  // values from the font glyph
+  oiintSize1: ["oiintSize1", 0.957, 0.499],
+  // oval to overlay the integrand
+  oiintSize2: ["oiintSize2", 1.472, 0.659],
+  oiiintSize1: ["oiiintSize1", 1.304, 0.499],
+  oiiintSize2: ["oiiintSize2", 1.98, 0.659]
+};
+
+var buildCommon_staticSvg = function staticSvg(value, options) {
+  // Create a span with inline SVG for the element.
+  var _svgData$value = svgData[value],
+      pathName = _svgData$value[0],
+      width = _svgData$value[1],
+      height = _svgData$value[2];
+  var path = new domTree_PathNode(pathName);
+  var svgNode = new SvgNode([path], {
+    "width": width + "em",
+    "height": height + "em",
+    // Override CSS rule `.katex svg { width: 100% }`
+    "style": "width:" + width + "em",
+    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
+    "preserveAspectRatio": "xMinYMin"
+  });
+  var span = buildCommon_makeSvgSpan(["overlay"], [svgNode], options);
+  span.height = height;
+  span.style.height = height + "em";
+  span.style.width = width + "em";
+  return span;
+};
+
+/* harmony default export */ var buildCommon = ({
+  fontMap: fontMap,
+  makeSymbol: buildCommon_makeSymbol,
+  mathsym: buildCommon_mathsym,
+  makeSpan: buildCommon_makeSpan,
+  makeSvgSpan: buildCommon_makeSvgSpan,
+  makeLineSpan: makeLineSpan,
+  makeAnchor: buildCommon_makeAnchor,
+  makeFragment: buildCommon_makeFragment,
+  wrapFragment: buildCommon_wrapFragment,
+  makeVList: buildCommon_makeVList,
+  makeOrd: buildCommon_makeOrd,
+  makeGlue: buildCommon_makeGlue,
+  staticSvg: buildCommon_staticSvg,
+  svgData: svgData,
+  tryCombineChars: buildCommon_tryCombineChars
+});
+// CONCATENATED MODULE: ./src/parseNode.js
+
+
+/**
+ * Asserts that the node is of the given type and returns it with stricter
+ * typing. Throws if the node's type does not match.
+ */
+function assertNodeType(node, type) {
+  var typedNode = checkNodeType(node, type);
+
+  if (!typedNode) {
+    throw new Error("Expected node of type " + type + ", but got " + (node ? "node of type " + node.type : String(node)));
+  } // $FlowFixMe: Unsure why.
+
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkNodeType(node, type) {
+  if (node && node.type === type) {
+    // The definition of ParseNode<TYPE> doesn't communicate to flow that
+    // `type: TYPE` (as that's not explicitly mentioned anywhere), though that
+    // happens to be true for all our value types.
+    // $FlowFixMe
+    return node;
+  }
+
+  return null;
+}
+/**
+ * Asserts that the node is of the given type and returns it with stricter
+ * typing. Throws if the node's type does not match.
+ */
+
+function assertAtomFamily(node, family) {
+  var typedNode = checkAtomFamily(node, family);
+
+  if (!typedNode) {
+    throw new Error("Expected node of type \"atom\" and family \"" + family + "\", but got " + (node ? node.type === "atom" ? "atom of family " + node.family : "node of type " + node.type : String(node)));
+  }
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkAtomFamily(node, family) {
+  return node && node.type === "atom" && node.family === family ? node : null;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function assertSymbolNodeType(node) {
+  var typedNode = checkSymbolNodeType(node);
+
+  if (!typedNode) {
+    throw new Error("Expected node of symbol group type, but got " + (node ? "node of type " + node.type : String(node)));
+  }
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkSymbolNodeType(node) {
+  if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) {
+    // $FlowFixMe
+    return node;
+  }
+
+  return null;
+}
+// CONCATENATED MODULE: ./src/spacingData.js
+/**
+ * Describes spaces between different classes of atoms.
+ */
+var thinspace = {
+  number: 3,
+  unit: "mu"
+};
+var mediumspace = {
+  number: 4,
+  unit: "mu"
+};
+var thickspace = {
+  number: 5,
+  unit: "mu"
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+
+// Spacing relationships for display and text styles
+var spacings = {
+  mord: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mbin: {
+    mord: mediumspace,
+    mop: mediumspace,
+    mopen: mediumspace,
+    minner: mediumspace
+  },
+  mrel: {
+    mord: thickspace,
+    mop: thickspace,
+    mopen: thickspace,
+    minner: thickspace
+  },
+  mopen: {},
+  mclose: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mpunct: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mclose: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  },
+  minner: {
+    mord: thinspace,
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  }
+}; // Spacing relationships for script and scriptscript styles
+
+var tightSpacings = {
+  mord: {
+    mop: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace
+  },
+  mbin: {},
+  mrel: {},
+  mopen: {},
+  mclose: {
+    mop: thinspace
+  },
+  mpunct: {},
+  minner: {
+    mop: thinspace
+  }
+};
+// CONCATENATED MODULE: ./src/defineFunction.js
+
+
+/**
+ * All registered functions.
+ * `functions.js` just exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary.
+ */
+var _functions = {};
+/**
+ * All HTML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+var _htmlGroupBuilders = {};
+/**
+ * All MathML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+var _mathmlGroupBuilders = {};
+function defineFunction(_ref) {
+  var type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of functions
+  var data = {
+    type: type,
+    numArgs: props.numArgs,
+    argTypes: props.argTypes,
+    greediness: props.greediness === undefined ? 1 : props.greediness,
+    allowedInText: !!props.allowedInText,
+    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
+    numOptionalArgs: props.numOptionalArgs || 0,
+    infix: !!props.infix,
+    handler: handler
+  };
+
+  for (var i = 0; i < names.length; ++i) {
+    _functions[names[i]] = data;
+  }
+
+  if (type) {
+    if (htmlBuilder) {
+      _htmlGroupBuilders[type] = htmlBuilder;
+    }
+
+    if (mathmlBuilder) {
+      _mathmlGroupBuilders[type] = mathmlBuilder;
+    }
+  }
+}
+/**
+ * Use this to register only the HTML and MathML builders for a function (e.g.
+ * if the function's ParseNode is generated in Parser.js rather than via a
+ * stand-alone handler provided to `defineFunction`).
+ */
+
+function defineFunctionBuilders(_ref2) {
+  var type = _ref2.type,
+      htmlBuilder = _ref2.htmlBuilder,
+      mathmlBuilder = _ref2.mathmlBuilder;
+  defineFunction({
+    type: type,
+    names: [],
+    props: {
+      numArgs: 0
+    },
+    handler: function handler() {
+      throw new Error('Should never be called.');
+    },
+    htmlBuilder: htmlBuilder,
+    mathmlBuilder: mathmlBuilder
+  });
+} // Since the corresponding buildHTML/buildMathML function expects a
+// list of elements, we normalize for different kinds of arguments
+
+var defineFunction_ordargument = function ordargument(arg) {
+  var node = checkNodeType(arg, "ordgroup");
+  return node ? node.body : [arg];
+};
+// CONCATENATED MODULE: ./src/buildHTML.js
+/**
+ * This file does the main work of building a domTree structure from a parse
+ * tree. The entry point is the `buildHTML` function, which takes a parse tree.
+ * Then, the buildExpression, buildGroup, and various groupBuilders functions
+ * are called, to produce a final HTML tree.
+ */
+
+
+
+
+
+
+
+
+
+var buildHTML_makeSpan = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`)
+// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6,
+// and the text before Rule 19.
+
+var binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
+var binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
+var styleMap = {
+  "display": src_Style.DISPLAY,
+  "text": src_Style.TEXT,
+  "script": src_Style.SCRIPT,
+  "scriptscript": src_Style.SCRIPTSCRIPT
+};
+var DomEnum = {
+  mord: "mord",
+  mop: "mop",
+  mbin: "mbin",
+  mrel: "mrel",
+  mopen: "mopen",
+  mclose: "mclose",
+  mpunct: "mpunct",
+  minner: "minner"
+};
+
+/**
+ * Take a list of nodes, build them in order, and return a list of the built
+ * nodes. documentFragments are flattened into their contents, so the
+ * returned list contains no fragments. `isRealGroup` is true if `expression`
+ * is a real group (no atoms will be added on either side), as opposed to
+ * a partial group (e.g. one created by \color). `surrounding` is an array
+ * consisting type of nodes that will be added to the left and right.
+ */
+var buildHTML_buildExpression = function buildExpression(expression, options, isRealGroup, surrounding) {
+  if (surrounding === void 0) {
+    surrounding = [null, null];
+  }
+
+  // Parse expressions into `groups`.
+  var groups = [];
+
+  for (var i = 0; i < expression.length; i++) {
+    var output = buildHTML_buildGroup(expression[i], options);
+
+    if (output instanceof tree_DocumentFragment) {
+      var children = output.children;
+      groups.push.apply(groups, children);
+    } else {
+      groups.push(output);
+    }
+  } // If `expression` is a partial group, let the parent handle spacings
+  // to avoid processing groups multiple times.
+
+
+  if (!isRealGroup) {
+    return groups;
+  }
+
+  var glueOptions = options;
+
+  if (expression.length === 1) {
+    var node = checkNodeType(expression[0], "sizing") || checkNodeType(expression[0], "styling");
+
+    if (!node) {// No match.
+    } else if (node.type === "sizing") {
+      glueOptions = options.havingSize(node.size);
+    } else if (node.type === "styling") {
+      glueOptions = options.havingStyle(styleMap[node.style]);
+    }
+  } // Dummy spans for determining spacings between surrounding atoms.
+  // If `expression` has no atoms on the left or right, class "leftmost"
+  // or "rightmost", respectively, is used to indicate it.
+
+
+  var dummyPrev = buildHTML_makeSpan([surrounding[0] || "leftmost"], [], options);
+  var dummyNext = buildHTML_makeSpan([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element
+  // of its `classes` array. A later cleanup should ensure this, for
+  // instance by changing the signature of `makeSpan`.
+  // Before determining what spaces to insert, perform bin cancellation.
+  // Binary operators change to ordinary symbols in some contexts.
+
+  traverseNonSpaceNodes(groups, function (node, prev) {
+    var prevType = prev.classes[0];
+    var type = node.classes[0];
+
+    if (prevType === "mbin" && utils.contains(binRightCanceller, type)) {
+      prev.classes[0] = "mord";
+    } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) {
+      node.classes[0] = "mord";
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext);
+  traverseNonSpaceNodes(groups, function (node, prev) {
+    var prevType = getTypeOfDomTree(prev);
+    var type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style.
+
+    var space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null;
+
+    if (space) {
+      // Insert glue (spacing) after the `prev`.
+      return buildCommon.makeGlue(space, glueOptions);
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext);
+  return groups;
+}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and
+// previous node as arguments, optionally returning a node to insert after the
+// previous node. `prev` is an object with the previous node and `insertAfter`
+// function to insert after it. `next` is a node that will be added to the right.
+// Used for bin cancellation and inserting spacings.
+
+var traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next) {
+  if (next) {
+    // temporarily append the right node, if exists
+    nodes.push(next);
+  }
+
+  var i = 0;
+
+  for (; i < nodes.length; i++) {
+    var node = nodes[i];
+    var partialGroup = buildHTML_checkPartialGroup(node);
+
+    if (partialGroup) {
+      // Recursive DFS
+      // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array
+      traverseNonSpaceNodes(partialGroup.children, callback, prev);
+      continue;
+    } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit
+    // spacing should go between atoms of different classes
+
+
+    if (node.classes[0] === "mspace") {
+      continue;
+    }
+
+    var result = callback(node, prev.node);
+
+    if (result) {
+      if (prev.insertAfter) {
+        prev.insertAfter(result);
+      } else {
+        // insert at front
+        nodes.unshift(result);
+        i++;
+      }
+    }
+
+    prev.node = node;
+
+    prev.insertAfter = function (index) {
+      return function (n) {
+        nodes.splice(index + 1, 0, n);
+        i++;
+      };
+    }(i);
+  }
+
+  if (next) {
+    nodes.pop();
+  }
+}; // Check if given node is a partial group, i.e., does not affect spacing around.
+
+
+var buildHTML_checkPartialGroup = function checkPartialGroup(node) {
+  if (node instanceof tree_DocumentFragment || node instanceof domTree_Anchor) {
+    return node;
+  }
+
+  return null;
+}; // Return the outermost node of a domTree.
+
+
+var getOutermostNode = function getOutermostNode(node, side) {
+  var partialGroup = buildHTML_checkPartialGroup(node);
+
+  if (partialGroup) {
+    var children = partialGroup.children;
+
+    if (children.length) {
+      if (side === "right") {
+        return getOutermostNode(children[children.length - 1], "right");
+      } else if (side === "left") {
+        return getOutermostNode(children[0], "left");
+      }
+    }
+  }
+
+  return node;
+}; // Return math atom class (mclass) of a domTree.
+// If `side` is given, it will get the type of the outermost node at given side.
+
+
+var getTypeOfDomTree = function getTypeOfDomTree(node, side) {
+  if (!node) {
+    return null;
+  }
+
+  if (side) {
+    node = getOutermostNode(node, side);
+  } // This makes a lot of assumptions as to where the type of atom
+  // appears.  We should do a better job of enforcing this.
+
+
+  return DomEnum[node.classes[0]] || null;
+};
+var makeNullDelimiter = function makeNullDelimiter(options, classes) {
+  var moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses());
+  return buildHTML_makeSpan(classes.concat(moreClasses));
+};
+/**
+ * buildGroup is the function that takes a group and calls the correct groupType
+ * function for it. It also handles the interaction of size and style changes
+ * between parents and children.
+ */
+
+var buildHTML_buildGroup = function buildGroup(group, options, baseOptions) {
+  if (!group) {
+    return buildHTML_makeSpan();
+  }
+
+  if (_htmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    var groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account
+    // for that size difference.
+
+    if (baseOptions && options.size !== baseOptions.size) {
+      groupNode = buildHTML_makeSpan(options.sizingClasses(baseOptions), [groupNode], options);
+      var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier;
+      groupNode.height *= multiplier;
+      groupNode.depth *= multiplier;
+    }
+
+    return groupNode;
+  } else {
+    throw new src_ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`)
+ * into an unbreakable HTML node of class .base, with proper struts to
+ * guarantee correct vertical extent.  `buildHTML` calls this repeatedly to
+ * make up the entire expression as a sequence of unbreakable units.
+ */
+
+function buildHTMLUnbreakable(children, options) {
+  // Compute height and depth of this chunk.
+  var body = buildHTML_makeSpan(["base"], children, options); // Add strut, which ensures that the top of the HTML element falls at
+  // the height of the expression, and the bottom of the HTML element
+  // falls at the depth of the expression.
+  // We used to have separate top and bottom struts, where the bottom strut
+  // would like to use `vertical-align: top`, but in IE 9 this lowers the
+  // baseline of the box to the bottom of this strut (instead of staying in
+  // the normal place) so we use an absolute value for vertical-align instead.
+
+  var strut = buildHTML_makeSpan(["strut"]);
+  strut.style.height = body.height + body.depth + "em";
+  strut.style.verticalAlign = -body.depth + "em";
+  body.children.unshift(strut);
+  return body;
+}
+/**
+ * Take an entire parse tree, and build it into an appropriate set of HTML
+ * nodes.
+ */
+
+
+function buildHTML(tree, options) {
+  // Strip off outer tag wrapper for processing below.
+  var tag = null;
+
+  if (tree.length === 1 && tree[0].type === "tag") {
+    tag = tree[0].tag;
+    tree = tree[0].body;
+  } // Build the expression contained in the tree
+
+
+  var expression = buildHTML_buildExpression(tree, options, true);
+  var children = []; // Create one base node for each chunk between potential line breaks.
+  // The TeXBook [p.173] says "A formula will be broken only after a
+  // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary
+  // operation symbol like $+$ or $-$ or $\times$, where the relation or
+  // binary operation is on the ``outer level'' of the formula (i.e., not
+  // enclosed in {...} and not part of an \over construction)."
+
+  var parts = [];
+
+  for (var i = 0; i < expression.length; i++) {
+    parts.push(expression[i]);
+
+    if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) {
+      // Put any post-operator glue on same line as operator.
+      // Watch for \nobreak along the way, and stop at \newline.
+      var nobreak = false;
+
+      while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) {
+        i++;
+        parts.push(expression[i]);
+
+        if (expression[i].hasClass("nobreak")) {
+          nobreak = true;
+        }
+      } // Don't allow break if \nobreak among the post-operator glue.
+
+
+      if (!nobreak) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      }
+    } else if (expression[i].hasClass("newline")) {
+      // Write the line except the newline
+      parts.pop();
+
+      if (parts.length > 0) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      } // Put the newline at the top level
+
+
+      children.push(expression[i]);
+    }
+  }
+
+  if (parts.length > 0) {
+    children.push(buildHTMLUnbreakable(parts, options));
+  } // Now, if there was a tag, build it too and append it as a final child.
+
+
+  var tagChild;
+
+  if (tag) {
+    tagChild = buildHTMLUnbreakable(buildHTML_buildExpression(tag, options, true));
+    tagChild.classes = ["tag"];
+    children.push(tagChild);
+  }
+
+  var htmlNode = buildHTML_makeSpan(["katex-html"], children);
+  htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children
+  // (the height of the enclosing htmlNode) for proper vertical alignment.
+
+  if (tagChild) {
+    var strut = tagChild.children[0];
+    strut.style.height = htmlNode.height + htmlNode.depth + "em";
+    strut.style.verticalAlign = -htmlNode.depth + "em";
+  }
+
+  return htmlNode;
+}
+// CONCATENATED MODULE: ./src/mathMLTree.js
+/**
+ * These objects store data about MathML nodes. This is the MathML equivalent
+ * of the types in domTree.js. Since MathML handles its own rendering, and
+ * since we're mainly using MathML to improve accessibility, we don't manage
+ * any of the styling state that the plain DOM nodes do.
+ *
+ * The `toNode` and `toMarkup` functions work simlarly to how they do in
+ * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.
+ */
+
+
+function newDocumentFragment(children) {
+  return new tree_DocumentFragment(children);
+}
+/**
+ * This node represents a general purpose MathML node of any type. The
+ * constructor requires the type of node to create (for example, `"mo"` or
+ * `"mspace"`, corresponding to `<mo>` and `<mspace>` tags).
+ */
+
+var mathMLTree_MathNode =
+/*#__PURE__*/
+function () {
+  function MathNode(type, children) {
+    this.type = void 0;
+    this.attributes = void 0;
+    this.children = void 0;
+    this.type = type;
+    this.attributes = {};
+    this.children = children || [];
+  }
+  /**
+   * Sets an attribute on a MathML node. MathML depends on attributes to convey a
+   * semantic content, so this is used heavily.
+   */
+
+
+  var _proto = MathNode.prototype;
+
+  _proto.setAttribute = function setAttribute(name, value) {
+    this.attributes[name] = value;
+  }
+  /**
+   * Gets an attribute on a MathML node.
+   */
+  ;
+
+  _proto.getAttribute = function getAttribute(name) {
+    return this.attributes[name];
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+  ;
+
+  _proto.toNode = function toNode() {
+    var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (var i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+  ;
+
+  _proto.toMarkup = function toMarkup() {
+    var markup = "<" + this.type; // Add the attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "=\"";
+        markup += utils.escape(this.attributes[attr]);
+        markup += "\"";
+      }
+    }
+
+    markup += ">";
+
+    for (var i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</" + this.type + ">";
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText, but escaped.
+   */
+  ;
+
+  _proto.toText = function toText() {
+    return this.children.map(function (child) {
+      return child.toText();
+    }).join("");
+  };
+
+  return MathNode;
+}();
+/**
+ * This node represents a piece of text.
+ */
+
+var mathMLTree_TextNode =
+/*#__PURE__*/
+function () {
+  function TextNode(text) {
+    this.text = void 0;
+    this.text = text;
+  }
+  /**
+   * Converts the text node into a DOM text node.
+   */
+
+
+  var _proto2 = TextNode.prototype;
+
+  _proto2.toNode = function toNode() {
+    return document.createTextNode(this.text);
+  }
+  /**
+   * Converts the text node into escaped HTML markup
+   * (representing the text itself).
+   */
+  ;
+
+  _proto2.toMarkup = function toMarkup() {
+    return utils.escape(this.toText());
+  }
+  /**
+   * Converts the text node into a string
+   * (representing the text iteself).
+   */
+  ;
+
+  _proto2.toText = function toText() {
+    return this.text;
+  };
+
+  return TextNode;
+}();
+/**
+ * This node represents a space, but may render as <mspace.../> or as text,
+ * depending on the width.
+ */
+
+var SpaceNode =
+/*#__PURE__*/
+function () {
+  /**
+   * Create a Space node with width given in CSS ems.
+   */
+  function SpaceNode(width) {
+    this.width = void 0;
+    this.character = void 0;
+    this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html
+    // for a table of space-like characters.  We use Unicode
+    // representations instead of &LongNames; as it's not clear how to
+    // make the latter via document.createTextNode.
+
+    if (width >= 0.05555 && width <= 0.05556) {
+      this.character = "\u200A"; // &VeryThinSpace;
+    } else if (width >= 0.1666 && width <= 0.1667) {
+      this.character = "\u2009"; // &ThinSpace;
+    } else if (width >= 0.2222 && width <= 0.2223) {
+      this.character = "\u2005"; // &MediumSpace;
+    } else if (width >= 0.2777 && width <= 0.2778) {
+      this.character = "\u2005\u200A"; // &ThickSpace;
+    } else if (width >= -0.05556 && width <= -0.05555) {
+      this.character = "\u200A\u2063"; // &NegativeVeryThinSpace;
+    } else if (width >= -0.1667 && width <= -0.1666) {
+      this.character = "\u2009\u2063"; // &NegativeThinSpace;
+    } else if (width >= -0.2223 && width <= -0.2222) {
+      this.character = "\u205F\u2063"; // &NegativeMediumSpace;
+    } else if (width >= -0.2778 && width <= -0.2777) {
+      this.character = "\u2005\u2063"; // &NegativeThickSpace;
+    } else {
+      this.character = null;
+    }
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+
+
+  var _proto3 = SpaceNode.prototype;
+
+  _proto3.toNode = function toNode() {
+    if (this.character) {
+      return document.createTextNode(this.character);
+    } else {
+      var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
+      node.setAttribute("width", this.width + "em");
+      return node;
+    }
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+  ;
+
+  _proto3.toMarkup = function toMarkup() {
+    if (this.character) {
+      return "<mtext>" + this.character + "</mtext>";
+    } else {
+      return "<mspace width=\"" + this.width + "em\"/>";
+    }
+  }
+  /**
+   * Converts the math node into a string, similar to innerText.
+   */
+  ;
+
+  _proto3.toText = function toText() {
+    if (this.character) {
+      return this.character;
+    } else {
+      return " ";
+    }
+  };
+
+  return SpaceNode;
+}();
+
+/* harmony default export */ var mathMLTree = ({
+  MathNode: mathMLTree_MathNode,
+  TextNode: mathMLTree_TextNode,
+  SpaceNode: SpaceNode,
+  newDocumentFragment: newDocumentFragment
+});
+// CONCATENATED MODULE: ./src/buildMathML.js
+/**
+ * This file converts a parse tree into a cooresponding MathML tree. The main
+ * entry point is the `buildMathML` function, which takes a parse tree from the
+ * parser.
+ */
+
+
+
+
+
+
+
+
+
+/**
+ * Takes a symbol and converts it into a MathML text node after performing
+ * optional replacement from symbols.js.
+ */
+var buildMathML_makeText = function makeText(text, mode, options) {
+  if (src_symbols[mode][text] && src_symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.substr(4, 2) === "tt" || options.font && options.font.substr(4, 2) === "tt"))) {
+    text = src_symbols[mode][text].replace;
+  }
+
+  return new mathMLTree.TextNode(text);
+};
+/**
+ * Wrap the given array of nodes in an <mrow> node if needed, i.e.,
+ * unless the array has length 1.  Always returns a single node.
+ */
+
+var buildMathML_makeRow = function makeRow(body) {
+  if (body.length === 1) {
+    return body[0];
+  } else {
+    return new mathMLTree.MathNode("mrow", body);
+  }
+};
+/**
+ * Returns the math variant as a string or null if none is required.
+ */
+
+var buildMathML_getVariant = function getVariant(group, options) {
+  // Handle \text... font specifiers as best we can.
+  // MathML has a limited list of allowable mathvariant specifiers; see
+  // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt
+  if (options.fontFamily === "texttt") {
+    return "monospace";
+  } else if (options.fontFamily === "textsf") {
+    if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+      return "sans-serif-bold-italic";
+    } else if (options.fontShape === "textit") {
+      return "sans-serif-italic";
+    } else if (options.fontWeight === "textbf") {
+      return "bold-sans-serif";
+    } else {
+      return "sans-serif";
+    }
+  } else if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+    return "bold-italic";
+  } else if (options.fontShape === "textit") {
+    return "italic";
+  } else if (options.fontWeight === "textbf") {
+    return "bold";
+  }
+
+  var font = options.font;
+
+  if (!font || font === "mathnormal") {
+    return null;
+  }
+
+  var mode = group.mode;
+
+  if (font === "mathit") {
+    return "italic";
+  } else if (font === "boldsymbol") {
+    return "bold-italic";
+  } else if (font === "mathbf") {
+    return "bold";
+  } else if (font === "mathbb") {
+    return "double-struck";
+  } else if (font === "mathfrak") {
+    return "fraktur";
+  } else if (font === "mathscr" || font === "mathcal") {
+    // MathML makes no distinction between script and caligrahpic
+    return "script";
+  } else if (font === "mathsf") {
+    return "sans-serif";
+  } else if (font === "mathtt") {
+    return "monospace";
+  }
+
+  var text = group.text;
+
+  if (utils.contains(["\\imath", "\\jmath"], text)) {
+    return null;
+  }
+
+  if (src_symbols[mode][text] && src_symbols[mode][text].replace) {
+    text = src_symbols[mode][text].replace;
+  }
+
+  var fontName = buildCommon.fontMap[font].fontName;
+
+  if (getCharacterMetrics(text, fontName, mode)) {
+    return buildCommon.fontMap[font].variant;
+  }
+
+  return null;
+};
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes.  Also combine consecutive <mtext> outputs into a single
+ * <mtext> tag.
+ */
+
+var buildMathML_buildExpression = function buildExpression(expression, options, isOrdgroup) {
+  if (expression.length === 1) {
+    var group = buildMathML_buildGroup(expression[0], options);
+
+    if (isOrdgroup && group instanceof mathMLTree_MathNode && group.type === "mo") {
+      // When TeX writers want to suppress spacing on an operator,
+      // they often put the operator by itself inside braces.
+      group.setAttribute("lspace", "0em");
+      group.setAttribute("rspace", "0em");
+    }
+
+    return [group];
+  }
+
+  var groups = [];
+  var lastGroup;
+
+  for (var i = 0; i < expression.length; i++) {
+    var _group = buildMathML_buildGroup(expression[i], options);
+
+    if (_group instanceof mathMLTree_MathNode && lastGroup instanceof mathMLTree_MathNode) {
+      // Concatenate adjacent <mtext>s
+      if (_group.type === 'mtext' && lastGroup.type === 'mtext' && _group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) {
+        var _lastGroup$children;
+
+        (_lastGroup$children = lastGroup.children).push.apply(_lastGroup$children, _group.children);
+
+        continue; // Concatenate adjacent <mn>s
+      } else if (_group.type === 'mn' && lastGroup.type === 'mn') {
+        var _lastGroup$children2;
+
+        (_lastGroup$children2 = lastGroup.children).push.apply(_lastGroup$children2, _group.children);
+
+        continue; // Concatenate <mn>...</mn> followed by <mi>.</mi>
+      } else if (_group.type === 'mi' && _group.children.length === 1 && lastGroup.type === 'mn') {
+        var child = _group.children[0];
+
+        if (child instanceof mathMLTree_TextNode && child.text === '.') {
+          var _lastGroup$children3;
+
+          (_lastGroup$children3 = lastGroup.children).push.apply(_lastGroup$children3, _group.children);
+
+          continue;
+        }
+      } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) {
+        var lastChild = lastGroup.children[0];
+
+        if (lastChild instanceof mathMLTree_TextNode && lastChild.text === "\u0338" && (_group.type === 'mo' || _group.type === 'mi' || _group.type === 'mn')) {
+          var _child = _group.children[0];
+
+          if (_child instanceof mathMLTree_TextNode && _child.text.length > 0) {
+            // Overlay with combining character long solidus
+            _child.text = _child.text.slice(0, 1) + "\u0338" + _child.text.slice(1);
+            groups.pop();
+          }
+        }
+      }
+    }
+
+    groups.push(_group);
+    lastGroup = _group;
+  }
+
+  return groups;
+};
+/**
+ * Equivalent to buildExpression, but wraps the elements in an <mrow>
+ * if there's more than one.  Returns a single node instead of an array.
+ */
+
+var buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
+  return buildMathML_makeRow(buildMathML_buildExpression(expression, options, isOrdgroup));
+};
+/**
+ * Takes a group from the parser and calls the appropriate groupBuilders function
+ * on it to produce a MathML node.
+ */
+
+var buildMathML_buildGroup = function buildGroup(group, options) {
+  if (!group) {
+    return new mathMLTree.MathNode("mrow");
+  }
+
+  if (_mathmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    var result = _mathmlGroupBuilders[group.type](group, options);
+    return result;
+  } else {
+    throw new src_ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Takes a full parse tree and settings and builds a MathML representation of
+ * it. In particular, we put the elements from building the parse tree into a
+ * <semantics> tag so we can also include that TeX source as an annotation.
+ *
+ * Note that we actually return a domTree element with a `<math>` inside it so
+ * we can do appropriate styling.
+ */
+
+function buildMathML(tree, texExpression, options, forMathmlOnly) {
+  var expression = buildMathML_buildExpression(tree, options); // Wrap up the expression in an mrow so it is presented in the semantics
+  // tag correctly, unless it's a single <mrow> or <mtable>.
+
+  var wrapper;
+
+  if (expression.length === 1 && expression[0] instanceof mathMLTree_MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) {
+    wrapper = expression[0];
+  } else {
+    wrapper = new mathMLTree.MathNode("mrow", expression);
+  } // Build a TeX annotation of the source
+
+
+  var annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]);
+  annotation.setAttribute("encoding", "application/x-tex");
+  var semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]);
+  var math = new mathMLTree.MathNode("math", [semantics]);
+  math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML"); // You can't style <math> nodes, so we wrap the node in a span.
+  // NOTE: The span class is not typed to have <math> nodes as children, and
+  // we don't want to make the children type more generic since the children
+  // of span are expected to have more fields in `buildHtml` contexts.
+
+  var wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe
+
+  return buildCommon.makeSpan([wrapperClass], [math]);
+}
+// CONCATENATED MODULE: ./src/buildTree.js
+
+
+
+
+
+
+
+var buildTree_optionsFromSettings = function optionsFromSettings(settings) {
+  return new src_Options({
+    style: settings.displayMode ? src_Style.DISPLAY : src_Style.TEXT,
+    maxSize: settings.maxSize,
+    minRuleThickness: settings.minRuleThickness
+  });
+};
+
+var buildTree_displayWrap = function displayWrap(node, settings) {
+  if (settings.displayMode) {
+    var classes = ["katex-display"];
+
+    if (settings.leqno) {
+      classes.push("leqno");
+    }
+
+    if (settings.fleqn) {
+      classes.push("fleqn");
+    }
+
+    node = buildCommon.makeSpan(classes, [node]);
+  }
+
+  return node;
+};
+
+var buildTree_buildTree = function buildTree(tree, expression, settings) {
+  var options = buildTree_optionsFromSettings(settings);
+  var katexNode;
+
+  if (settings.output === "mathml") {
+    return buildMathML(tree, expression, options, true);
+  } else if (settings.output === "html") {
+    var htmlNode = buildHTML(tree, options);
+    katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  } else {
+    var mathMLNode = buildMathML(tree, expression, options, false);
+
+    var _htmlNode = buildHTML(tree, options);
+
+    katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, _htmlNode]);
+  }
+
+  return buildTree_displayWrap(katexNode, settings);
+};
+var buildTree_buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
+  var options = buildTree_optionsFromSettings(settings);
+  var htmlNode = buildHTML(tree, options);
+  var katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  return buildTree_displayWrap(katexNode, settings);
+};
+/* harmony default export */ var src_buildTree = (buildTree_buildTree);
+// CONCATENATED MODULE: ./src/stretchy.js
+/**
+ * This file provides support to buildMathML.js and buildHTML.js
+ * for stretchy wide elements rendered from SVG files
+ * and other CSS trickery.
+ */
+
+
+
+
+var stretchyCodePoint = {
+  widehat: "^",
+  widecheck: "ˇ",
+  widetilde: "~",
+  utilde: "~",
+  overleftarrow: "\u2190",
+  underleftarrow: "\u2190",
+  xleftarrow: "\u2190",
+  overrightarrow: "\u2192",
+  underrightarrow: "\u2192",
+  xrightarrow: "\u2192",
+  underbrace: "\u23DF",
+  overbrace: "\u23DE",
+  overgroup: "\u23E0",
+  undergroup: "\u23E1",
+  overleftrightarrow: "\u2194",
+  underleftrightarrow: "\u2194",
+  xleftrightarrow: "\u2194",
+  Overrightarrow: "\u21D2",
+  xRightarrow: "\u21D2",
+  overleftharpoon: "\u21BC",
+  xleftharpoonup: "\u21BC",
+  overrightharpoon: "\u21C0",
+  xrightharpoonup: "\u21C0",
+  xLeftarrow: "\u21D0",
+  xLeftrightarrow: "\u21D4",
+  xhookleftarrow: "\u21A9",
+  xhookrightarrow: "\u21AA",
+  xmapsto: "\u21A6",
+  xrightharpoondown: "\u21C1",
+  xleftharpoondown: "\u21BD",
+  xrightleftharpoons: "\u21CC",
+  xleftrightharpoons: "\u21CB",
+  xtwoheadleftarrow: "\u219E",
+  xtwoheadrightarrow: "\u21A0",
+  xlongequal: "=",
+  xtofrom: "\u21C4",
+  xrightleftarrows: "\u21C4",
+  xrightequilibrium: "\u21CC",
+  // Not a perfect match.
+  xleftequilibrium: "\u21CB" // None better available.
+
+};
+
+var stretchy_mathMLnode = function mathMLnode(label) {
+  var node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.substr(1)])]);
+  node.setAttribute("stretchy", "true");
+  return node;
+}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts.
+// Copyright (c) 2009-2010, Design Science, Inc. (<www.mathjax.org>)
+// Copyright (c) 2014-2017 Khan Academy (<www.khanacademy.org>)
+// Licensed under the SIL Open Font License, Version 1.1.
+// See \nhttp://scripts.sil.org/OFL
+// Very Long SVGs
+//    Many of the KaTeX stretchy wide elements use a long SVG image and an
+//    overflow: hidden tactic to achieve a stretchy image while avoiding
+//    distortion of arrowheads or brace corners.
+//    The SVG typically contains a very long (400 em) arrow.
+//    The SVG is in a container span that has overflow: hidden, so the span
+//    acts like a window that exposes only part of the  SVG.
+//    The SVG always has a longer, thinner aspect ratio than the container span.
+//    After the SVG fills 100% of the height of the container span,
+//    there is a long arrow shaft left over. That left-over shaft is not shown.
+//    Instead, it is sliced off because the span's CSS has overflow: hidden.
+//    Thus, the reader sees an arrow that matches the subject matter width
+//    without distortion.
+//    Some functions, such as \cancel, need to vary their aspect ratio. These
+//    functions do not get the overflow SVG treatment.
+// Second Brush Stroke
+//    Low resolution monitors struggle to display images in fine detail.
+//    So browsers apply anti-aliasing. A long straight arrow shaft therefore
+//    will sometimes appear as if it has a blurred edge.
+//    To mitigate this, these SVG files contain a second "brush-stroke" on the
+//    arrow shafts. That is, a second long thin rectangular SVG path has been
+//    written directly on top of each arrow shaft. This reinforcement causes
+//    some of the screen pixels to display as black instead of the anti-aliased
+//    gray pixel that a  single path would generate. So we get arrow shafts
+//    whose edges appear to be sharper.
+// In the katexImagesData object just below, the dimensions all
+// correspond to path geometry inside the relevant SVG.
+// For example, \overrightarrow uses the same arrowhead as glyph U+2192
+// from the KaTeX Main font. The scaling factor is 1000.
+// That is, inside the font, that arrowhead is 522 units tall, which
+// corresponds to 0.522 em inside the document.
+
+
+var katexImagesData = {
+  //   path(s), minWidth, height, align
+  overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"],
+  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
+  Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"],
+  xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"],
+  xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"],
+  overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"],
+  overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"],
+  xlongequal: [["longequal"], 0.888, 334, "xMinYMin"],
+  xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"],
+  xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"],
+  overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548],
+  underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548],
+  underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522],
+  xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560],
+  xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716],
+  xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716],
+  xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522],
+  xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522],
+  overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  overgroup: [["leftgroup", "rightgroup"], 0.888, 342],
+  undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342],
+  xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522],
+  xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528],
+  // The next three arrows are from the mhchem package.
+  // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the
+  // document as \xrightarrow or \xrightleftharpoons. Those have
+  // min-length = 1.75em, so we set min-length on these next three to match.
+  xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
+  xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
+  xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716]
+};
+
+var groupLength = function groupLength(arg) {
+  if (arg.type === "ordgroup") {
+    return arg.body.length;
+  } else {
+    return 1;
+  }
+};
+
+var stretchy_svgSpan = function svgSpan(group, options) {
+  // Create a span with inline SVG for the element.
+  function buildSvgSpan_() {
+    var viewBoxWidth = 400000; // default
+
+    var label = group.label.substr(1);
+
+    if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) {
+      // Each type in the `if` statement corresponds to one of the ParseNode
+      // types below. This narrowing is required to access `grp.base`.
+      var grp = group; // There are four SVG images available for each function.
+      // Choose a taller image when there are more characters.
+
+      var numChars = groupLength(grp.base);
+      var viewBoxHeight;
+      var pathName;
+
+      var _height;
+
+      if (numChars > 5) {
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxHeight = 420;
+          viewBoxWidth = 2364;
+          _height = 0.42;
+          pathName = label + "4";
+        } else {
+          viewBoxHeight = 312;
+          viewBoxWidth = 2340;
+          _height = 0.34;
+          pathName = "tilde4";
+        }
+      } else {
+        var imgIndex = [1, 1, 2, 2, 3, 3][numChars];
+
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex];
+          viewBoxHeight = [0, 239, 300, 360, 420][imgIndex];
+          _height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex];
+          pathName = label + imgIndex;
+        } else {
+          viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex];
+          viewBoxHeight = [0, 260, 286, 306, 312][imgIndex];
+          _height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex];
+          pathName = "tilde" + imgIndex;
+        }
+      }
+
+      var path = new domTree_PathNode(pathName);
+      var svgNode = new SvgNode([path], {
+        "width": "100%",
+        "height": _height + "em",
+        "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight,
+        "preserveAspectRatio": "none"
+      });
+      return {
+        span: buildCommon.makeSvgSpan([], [svgNode], options),
+        minWidth: 0,
+        height: _height
+      };
+    } else {
+      var spans = [];
+      var data = katexImagesData[label];
+      var paths = data[0],
+          _minWidth = data[1],
+          _viewBoxHeight = data[2];
+
+      var _height2 = _viewBoxHeight / 1000;
+
+      var numSvgChildren = paths.length;
+      var widthClasses;
+      var aligns;
+
+      if (numSvgChildren === 1) {
+        // $FlowFixMe: All these cases must be of the 4-tuple type.
+        var align1 = data[3];
+        widthClasses = ["hide-tail"];
+        aligns = [align1];
+      } else if (numSvgChildren === 2) {
+        widthClasses = ["halfarrow-left", "halfarrow-right"];
+        aligns = ["xMinYMin", "xMaxYMin"];
+      } else if (numSvgChildren === 3) {
+        widthClasses = ["brace-left", "brace-center", "brace-right"];
+        aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"];
+      } else {
+        throw new Error("Correct katexImagesData or update code here to support\n                    " + numSvgChildren + " children.");
+      }
+
+      for (var i = 0; i < numSvgChildren; i++) {
+        var _path = new domTree_PathNode(paths[i]);
+
+        var _svgNode = new SvgNode([_path], {
+          "width": "400em",
+          "height": _height2 + "em",
+          "viewBox": "0 0 " + viewBoxWidth + " " + _viewBoxHeight,
+          "preserveAspectRatio": aligns[i] + " slice"
+        });
+
+        var _span = buildCommon.makeSvgSpan([widthClasses[i]], [_svgNode], options);
+
+        if (numSvgChildren === 1) {
+          return {
+            span: _span,
+            minWidth: _minWidth,
+            height: _height2
+          };
+        } else {
+          _span.style.height = _height2 + "em";
+          spans.push(_span);
+        }
+      }
+
+      return {
+        span: buildCommon.makeSpan(["stretchy"], spans, options),
+        minWidth: _minWidth,
+        height: _height2
+      };
+    }
+  } // buildSvgSpan_()
+
+
+  var _buildSvgSpan_ = buildSvgSpan_(),
+      span = _buildSvgSpan_.span,
+      minWidth = _buildSvgSpan_.minWidth,
+      height = _buildSvgSpan_.height; // Note that we are returning span.depth = 0.
+  // Any adjustments relative to the baseline must be done in buildHTML.
+
+
+  span.height = height;
+  span.style.height = height + "em";
+
+  if (minWidth > 0) {
+    span.style.minWidth = minWidth + "em";
+  }
+
+  return span;
+};
+
+var stretchy_encloseSpan = function encloseSpan(inner, label, pad, options) {
+  // Return an image span for \cancel, \bcancel, \xcancel, or \fbox
+  var img;
+  var totalHeight = inner.height + inner.depth + 2 * pad;
+
+  if (/fbox|color/.test(label)) {
+    img = buildCommon.makeSpan(["stretchy", label], [], options);
+
+    if (label === "fbox") {
+      var color = options.color && options.getColor();
+
+      if (color) {
+        img.style.borderColor = color;
+      }
+    }
+  } else {
+    // \cancel, \bcancel, or \xcancel
+    // Since \cancel's SVG is inline and it omits the viewBox attribute,
+    // its stroke-width will not vary with span area.
+    var lines = [];
+
+    if (/^[bx]cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "0",
+        "x2": "100%",
+        "y2": "100%",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    if (/^x?cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "100%",
+        "x2": "100%",
+        "y2": "0",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    var svgNode = new SvgNode(lines, {
+      "width": "100%",
+      "height": totalHeight + "em"
+    });
+    img = buildCommon.makeSvgSpan([], [svgNode], options);
+  }
+
+  img.height = totalHeight;
+  img.style.height = totalHeight + "em";
+  return img;
+};
+
+/* harmony default export */ var stretchy = ({
+  encloseSpan: stretchy_encloseSpan,
+  mathMLnode: stretchy_mathMLnode,
+  svgSpan: stretchy_svgSpan
+});
+// CONCATENATED MODULE: ./src/functions/accent.js
+
+
+
+
+
+
+
+
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but
+var accent_htmlBuilder = function htmlBuilder(grp, options) {
+  // Accents are handled in the TeXbook pg. 443, rule 12.
+  var base;
+  var group;
+  var supSub = checkNodeType(grp, "supsub");
+  var supSubGroup;
+
+  if (supSub) {
+    // If our base is a character box, and we have superscripts and
+    // subscripts, the supsub will defer to us. In particular, we want
+    // to attach the superscripts and subscripts to the inner body (so
+    // that the position of the superscripts and subscripts won't be
+    // affected by the height of the accent). We accomplish this by
+    // sticking the base of the accent into the base of the supsub, and
+    // rendering that, while keeping track of where the accent is.
+    // The real accent group is the base of the supsub group
+    group = assertNodeType(supSub.base, "accent"); // The character box is the base of the accent group
+
+    base = group.base; // Stick the character box into the base of the supsub group
+
+    supSub.base = base; // Rerender the supsub group with its new base, and store that
+    // result.
+
+    supSubGroup = assertSpan(buildHTML_buildGroup(supSub, options)); // reset original base
+
+    supSub.base = group;
+  } else {
+    group = assertNodeType(grp, "accent");
+    base = group.base;
+  } // Build the base group
+
+
+  var body = buildHTML_buildGroup(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character?
+
+  var mustShift = group.isShifty && utils.isCharacterBox(base); // Calculate the skew of the accent. This is based on the line "If the
+  // nucleus is not a single character, let s = 0; otherwise set s to the
+  // kern amount for the nucleus followed by the \skewchar of its font."
+  // Note that our skew metrics are just the kern between each character
+  // and the skewchar.
+
+  var skew = 0;
+
+  if (mustShift) {
+    // If the base is a character box, then we want the skew of the
+    // innermost character. To do that, we find the innermost character:
+    var baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it
+
+    var baseGroup = buildHTML_buildGroup(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol.
+
+    skew = assertSymbolDomNode(baseGroup).skew; // Note that we now throw away baseGroup, because the layers we
+    // removed with getBaseElem might contain things like \color which
+    // we can't get rid of.
+    // TODO(emily): Find a better way to get the skew
+  } // calculate the amount of space between the body and the accent
+
+
+  var clearance = Math.min(body.height, options.fontMetrics().xHeight); // Build the accent
+
+  var accentBody;
+
+  if (!group.isStretchy) {
+    var accent;
+    var width;
+
+    if (group.label === "\\vec") {
+      // Before version 0.9, \vec used the combining font glyph U+20D7.
+      // But browsers, especially Safari, are not consistent in how they
+      // render combining characters when not preceded by a character.
+      // So now we use an SVG.
+      // If Safari reforms, we should consider reverting to the glyph.
+      accent = buildCommon.staticSvg("vec", options);
+      width = buildCommon.svgData.vec[1];
+    } else {
+      accent = buildCommon.makeOrd({
+        mode: group.mode,
+        text: group.label
+      }, options, "textord");
+      accent = assertSymbolDomNode(accent); // Remove the italic correction of the accent, because it only serves to
+      // shift the accent over to a place we don't want.
+
+      accent.italic = 0;
+      width = accent.width;
+    }
+
+    accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be
+    // at least the width of the accent, and overlap directly onto the
+    // character without any vertical offset.
+
+    var accentFull = group.label === "\\textcircled";
+
+    if (accentFull) {
+      accentBody.classes.push('accent-full');
+      clearance = body.height;
+    } // Shift the accent over by the skew.
+
+
+    var left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }`
+    // so that the accent doesn't contribute to the bounding box.
+    // We need to shift the character by its width (effectively half
+    // its width) to compensate.
+
+    if (!accentFull) {
+      left -= width / 2;
+    }
+
+    accentBody.style.left = left + "em"; // \textcircled uses the \bigcirc glyph, so it needs some
+    // vertical adjustment to match LaTeX.
+
+    if (group.label === "\\textcircled") {
+      accentBody.style.top = ".2em";
+    }
+
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: -clearance
+      }, {
+        type: "elem",
+        elem: accentBody
+      }]
+    }, options);
+  } else {
+    accentBody = stretchy.svgSpan(group, options);
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"],
+        wrapperStyle: skew > 0 ? {
+          width: "calc(100% - " + 2 * skew + "em)",
+          marginLeft: 2 * skew + "em"
+        } : undefined
+      }]
+    }, options);
+  }
+
+  var accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options);
+
+  if (supSubGroup) {
+    // Here, we replace the "base" child of the supsub with our newly
+    // generated accent.
+    supSubGroup.children[0] = accentWrap; // Since we don't rerun the height calculation after replacing the
+    // accent, we manually recalculate height.
+
+    supSubGroup.height = Math.max(accentWrap.height, supSubGroup.height); // Accents should always be ords, even when their innards are not.
+
+    supSubGroup.classes[0] = "mord";
+    return supSubGroup;
+  } else {
+    return accentWrap;
+  }
+};
+
+var accent_mathmlBuilder = function mathmlBuilder(group, options) {
+  var accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [buildMathML_makeText(group.label, group.mode)]);
+  var node = new mathMLTree.MathNode("mover", [buildMathML_buildGroup(group.base, options), accentNode]);
+  node.setAttribute("accent", "true");
+  return node;
+};
+
+var NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(function (accent) {
+  return "\\" + accent;
+}).join("|")); // Accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var base = args[0];
+    var isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName);
+    var isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck";
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: isStretchy,
+      isShifty: isShifty,
+      base: base
+    };
+  },
+  htmlBuilder: accent_htmlBuilder,
+  mathmlBuilder: accent_mathmlBuilder
+}); // Text-mode accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\r", "\\H", "\\v", "\\textcircled"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: function handler(context, args) {
+    var base = args[0];
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: false,
+      isShifty: true,
+      base: base
+    };
+  },
+  htmlBuilder: accent_htmlBuilder,
+  mathmlBuilder: accent_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/accentunder.js
+// Horizontal overlap functions
+
+
+
+
+
+
+defineFunction({
+  type: "accentUnder",
+  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var base = args[0];
+    return {
+      type: "accentUnder",
+      mode: parser.mode,
+      label: funcName,
+      base: base
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Treat under accents much like underlines.
+    var innerGroup = buildHTML_buildGroup(group.base, options);
+    var accentBody = stretchy.svgSpan(group, options);
+    var kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns
+
+    var vlist = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: accentBody.height + kern,
+      children: [{
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: kern
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var accentNode = stretchy.mathMLnode(group.label);
+    var node = new mathMLTree.MathNode("munder", [buildMathML_buildGroup(group.base, options), accentNode]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/arrow.js
+
+
+
+
+
+
+
+// Helper function
+var arrow_paddedNode = function paddedNode(group) {
+  var node = new mathMLTree.MathNode("mpadded", group ? [group] : []);
+  node.setAttribute("width", "+0.6em");
+  node.setAttribute("lspace", "0.3em");
+  return node;
+}; // Stretchy arrows with an optional argument
+
+
+defineFunction({
+  type: "xArrow",
+  names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension.
+  // Direct use of these functions is discouraged and may break someday.
+  "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "xArrow",
+      mode: parser.mode,
+      label: funcName,
+      body: args[0],
+      below: optArgs[0]
+    };
+  },
+  // Flow is unable to correctly infer the type of `group`, even though it's
+  // unamibiguously determined from the passed-in `type` above.
+  htmlBuilder: function htmlBuilder(group, options) {
+    var style = options.style; // Build the argument groups in the appropriate style.
+    // Ref: amsmath.dtx:   \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}%
+    // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+    var newOptions = options.havingStyle(style.sup());
+    var upperGroup = buildCommon.wrapFragment(buildHTML_buildGroup(group.body, newOptions, options), options);
+    upperGroup.classes.push("x-arrow-pad");
+    var lowerGroup;
+
+    if (group.below) {
+      // Build the lower group
+      newOptions = options.havingStyle(style.sub());
+      lowerGroup = buildCommon.wrapFragment(buildHTML_buildGroup(group.below, newOptions, options), options);
+      lowerGroup.classes.push("x-arrow-pad");
+    }
+
+    var arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0.
+    // The point we want on the math axis is at 0.5 * arrowBody.height.
+
+    var arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi
+
+    var upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu
+
+    if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") {
+      upperShift -= upperGroup.depth; // shift up if depth encroaches
+    } // Generate the vlist
+
+
+    var vlist;
+
+    if (lowerGroup) {
+      var lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111;
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }, {
+          type: "elem",
+          elem: lowerGroup,
+          shift: lowerShift
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }]
+      }, options);
+    } // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+    return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var arrowNode = stretchy.mathMLnode(group.label);
+    var node;
+
+    if (group.body) {
+      var upperNode = arrow_paddedNode(buildMathML_buildGroup(group.body, options));
+
+      if (group.below) {
+        var lowerNode = arrow_paddedNode(buildMathML_buildGroup(group.below, options));
+        node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]);
+      } else {
+        node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]);
+      }
+    } else if (group.below) {
+      var _lowerNode = arrow_paddedNode(buildMathML_buildGroup(group.below, options));
+
+      node = new mathMLTree.MathNode("munder", [arrowNode, _lowerNode]);
+    } else {
+      // This should never happen.
+      // Parser.js throws an error if there is no argument.
+      node = arrow_paddedNode();
+      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/char.js
+
+
+ // \@char is an internal function that takes a grouped decimal argument like
+// {123} and converts into symbol with code 123.  It is used by the *macro*
+// \char defined in macros.js.
+
+defineFunction({
+  type: "textord",
+  names: ["\\@char"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var arg = assertNodeType(args[0], "ordgroup");
+    var group = arg.body;
+    var number = "";
+
+    for (var i = 0; i < group.length; i++) {
+      var node = assertNodeType(group[i], "textord");
+      number += node.text;
+    }
+
+    var code = parseInt(number);
+
+    if (isNaN(code)) {
+      throw new src_ParseError("\\@char has non-numeric argument " + number);
+    }
+
+    return {
+      type: "textord",
+      mode: parser.mode,
+      text: String.fromCharCode(code)
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/functions/color.js
+
+
+
+
+
+
+
+var color_htmlBuilder = function htmlBuilder(group, options) {
+  var elements = buildHTML_buildExpression(group.body, options.withColor(group.color), false); // \color isn't supposed to affect the type of the elements it contains.
+  // To accomplish this, we wrap the results in a fragment, so the inner
+  // elements will be able to directly interact with their neighbors. For
+  // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3`
+
+  return buildCommon.makeFragment(elements);
+};
+
+var color_mathmlBuilder = function mathmlBuilder(group, options) {
+  var inner = buildMathML_buildExpression(group.body, options.withColor(group.color));
+  var node = new mathMLTree.MathNode("mstyle", inner);
+  node.setAttribute("mathcolor", group.color);
+  return node;
+};
+
+defineFunction({
+  type: "color",
+  names: ["\\textcolor"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "original"]
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var color = assertNodeType(args[0], "color-token").color;
+    var body = args[1];
+    return {
+      type: "color",
+      mode: parser.mode,
+      color: color,
+      body: defineFunction_ordargument(body)
+    };
+  },
+  htmlBuilder: color_htmlBuilder,
+  mathmlBuilder: color_mathmlBuilder
+});
+defineFunction({
+  type: "color",
+  names: ["\\color"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color"]
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser,
+        breakOnTokenText = _ref2.breakOnTokenText;
+    var color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current
+    // color, mimicking the behavior of color.sty.
+    // This is currently used just to correctly color a \right
+    // that follows a \color command.
+
+    parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored.
+
+    var body = parser.parseExpression(true, breakOnTokenText);
+    return {
+      type: "color",
+      mode: parser.mode,
+      color: color,
+      body: body
+    };
+  },
+  htmlBuilder: color_htmlBuilder,
+  mathmlBuilder: color_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/cr.js
+// Row breaks within tabular environments, and line breaks at top level
+
+
+
+
+
+ // \\ is a macro mapping to either \cr or \newline.  Because they have the
+// same signature, we implement them as one megafunction, with newRow
+// indicating whether we're in the \cr case, and newLine indicating whether
+// to break the line in the \newline case.
+
+defineFunction({
+  type: "cr",
+  names: ["\\cr", "\\newline"],
+  props: {
+    numArgs: 0,
+    numOptionalArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var size = optArgs[0];
+    var newRow = funcName === "\\cr";
+    var newLine = false;
+
+    if (!newRow) {
+      if (parser.settings.displayMode && parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode")) {
+        newLine = false;
+      } else {
+        newLine = true;
+      }
+    }
+
+    return {
+      type: "cr",
+      mode: parser.mode,
+      newLine: newLine,
+      newRow: newRow,
+      size: size && assertNodeType(size, "size").value
+    };
+  },
+  // The following builders are called only at the top level,
+  // not within tabular/array environments.
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (group.newRow) {
+      throw new src_ParseError("\\cr valid only within a tabular/array environment");
+    }
+
+    var span = buildCommon.makeSpan(["mspace"], [], options);
+
+    if (group.newLine) {
+      span.classes.push("newline");
+
+      if (group.size) {
+        span.style.marginTop = units_calculateSize(group.size, options) + "em";
+      }
+    }
+
+    return span;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mspace");
+
+    if (group.newLine) {
+      node.setAttribute("linebreak", "newline");
+
+      if (group.size) {
+        node.setAttribute("height", units_calculateSize(group.size, options) + "em");
+      }
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/delimiter.js
+/**
+ * This file deals with creating delimiters of various sizes. The TeXbook
+ * discusses these routines on page 441-442, in the "Another subroutine sets box
+ * x to a specified variable delimiter" paragraph.
+ *
+ * There are three main routines here. `makeSmallDelim` makes a delimiter in the
+ * normal font, but in either text, script, or scriptscript style.
+ * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,
+ * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of
+ * smaller pieces that are stacked on top of one another.
+ *
+ * The functions take a parameter `center`, which determines if the delimiter
+ * should be centered around the axis.
+ *
+ * Then, there are three exposed functions. `sizedDelim` makes a delimiter in
+ * one of the given sizes. This is used for things like `\bigl`.
+ * `customSizedDelim` makes a delimiter with a given total height+depth. It is
+ * called in places like `\sqrt`. `leftRightDelim` makes an appropriate
+ * delimiter which surrounds an expression of a given height an depth. It is
+ * used in `\left` and `\right`.
+ */
+
+
+
+
+
+
+
+
+
+/**
+ * Get the metrics for a given symbol and font, after transformation (i.e.
+ * after following replacement from symbols.js)
+ */
+var delimiter_getMetrics = function getMetrics(symbol, font, mode) {
+  var replace = src_symbols.math[symbol] && src_symbols.math[symbol].replace;
+  var metrics = getCharacterMetrics(replace || symbol, font, mode);
+
+  if (!metrics) {
+    throw new Error("Unsupported symbol " + symbol + " and font size " + font + ".");
+  }
+
+  return metrics;
+};
+/**
+ * Puts a delimiter span in a given style, and adds appropriate height, depth,
+ * and maxFontSizes.
+ */
+
+
+var delimiter_styleWrap = function styleWrap(delim, toStyle, options, classes) {
+  var newOptions = options.havingBaseStyle(toStyle);
+  var span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options);
+  var delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier;
+  span.height *= delimSizeMultiplier;
+  span.depth *= delimSizeMultiplier;
+  span.maxFontSize = newOptions.sizeMultiplier;
+  return span;
+};
+
+var centerSpan = function centerSpan(span, options, style) {
+  var newOptions = options.havingBaseStyle(style);
+  var shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight;
+  span.classes.push("delimcenter");
+  span.style.top = shift + "em";
+  span.height -= shift;
+  span.depth += shift;
+};
+/**
+ * Makes a small delimiter. This is a delimiter that comes in the Main-Regular
+ * font, but is restyled to either be in textstyle, scriptstyle, or
+ * scriptscriptstyle.
+ */
+
+
+var delimiter_makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
+  var text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
+  var span = delimiter_styleWrap(text, style, options, classes);
+
+  if (center) {
+    centerSpan(span, options, style);
+  }
+
+  return span;
+};
+/**
+ * Builds a symbol in the given font size (note size is an integer)
+ */
+
+
+var delimiter_mathrmSize = function mathrmSize(value, size, mode, options) {
+  return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options);
+};
+/**
+ * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,
+ * Size3, or Size4 fonts. It is always rendered in textstyle.
+ */
+
+
+var delimiter_makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
+  var inner = delimiter_mathrmSize(delim, size, mode, options);
+  var span = delimiter_styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), src_Style.TEXT, options, classes);
+
+  if (center) {
+    centerSpan(span, options, src_Style.TEXT);
+  }
+
+  return span;
+};
+/**
+ * Make an inner span with the given offset and in the given font. This is used
+ * in `makeStackedDelim` to make the stacking pieces for the delimiter.
+ */
+
+
+var delimiter_makeInner = function makeInner(symbol, font, mode) {
+  var sizeClass; // Apply the correct CSS class to choose the right font.
+
+  if (font === "Size1-Regular") {
+    sizeClass = "delim-size1";
+  } else
+    /* if (font === "Size4-Regular") */
+    {
+      sizeClass = "delim-size4";
+    }
+
+  var inner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); // Since this will be passed into `makeVList` in the end, wrap the element
+  // in the appropriate tag that VList uses.
+
+  return {
+    type: "elem",
+    elem: inner
+  };
+}; // Helper for makeStackedDelim
+
+
+var lap = {
+  type: "kern",
+  size: -0.005
+};
+/**
+ * Make a stacked delimiter out of a given delimiter, with the total height at
+ * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.
+ */
+
+var delimiter_makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) {
+  // There are four parts, the top, an optional middle, a repeated part, and a
+  // bottom.
+  var top;
+  var middle;
+  var repeat;
+  var bottom;
+  top = repeat = bottom = delim;
+  middle = null; // Also keep track of what font the delimiters are in
+
+  var font = "Size1-Regular"; // We set the parts and font based on the symbol. Note that we use
+  // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the
+  // repeats of the arrows
+
+  if (delim === "\\uparrow") {
+    repeat = bottom = "\u23D0";
+  } else if (delim === "\\Uparrow") {
+    repeat = bottom = "\u2016";
+  } else if (delim === "\\downarrow") {
+    top = repeat = "\u23D0";
+  } else if (delim === "\\Downarrow") {
+    top = repeat = "\u2016";
+  } else if (delim === "\\updownarrow") {
+    top = "\\uparrow";
+    repeat = "\u23D0";
+    bottom = "\\downarrow";
+  } else if (delim === "\\Updownarrow") {
+    top = "\\Uparrow";
+    repeat = "\u2016";
+    bottom = "\\Downarrow";
+  } else if (delim === "[" || delim === "\\lbrack") {
+    top = "\u23A1";
+    repeat = "\u23A2";
+    bottom = "\u23A3";
+    font = "Size4-Regular";
+  } else if (delim === "]" || delim === "\\rbrack") {
+    top = "\u23A4";
+    repeat = "\u23A5";
+    bottom = "\u23A6";
+    font = "Size4-Regular";
+  } else if (delim === "\\lfloor" || delim === "\u230A") {
+    repeat = top = "\u23A2";
+    bottom = "\u23A3";
+    font = "Size4-Regular";
+  } else if (delim === "\\lceil" || delim === "\u2308") {
+    top = "\u23A1";
+    repeat = bottom = "\u23A2";
+    font = "Size4-Regular";
+  } else if (delim === "\\rfloor" || delim === "\u230B") {
+    repeat = top = "\u23A5";
+    bottom = "\u23A6";
+    font = "Size4-Regular";
+  } else if (delim === "\\rceil" || delim === "\u2309") {
+    top = "\u23A4";
+    repeat = bottom = "\u23A5";
+    font = "Size4-Regular";
+  } else if (delim === "(" || delim === "\\lparen") {
+    top = "\u239B";
+    repeat = "\u239C";
+    bottom = "\u239D";
+    font = "Size4-Regular";
+  } else if (delim === ")" || delim === "\\rparen") {
+    top = "\u239E";
+    repeat = "\u239F";
+    bottom = "\u23A0";
+    font = "Size4-Regular";
+  } else if (delim === "\\{" || delim === "\\lbrace") {
+    top = "\u23A7";
+    middle = "\u23A8";
+    bottom = "\u23A9";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\}" || delim === "\\rbrace") {
+    top = "\u23AB";
+    middle = "\u23AC";
+    bottom = "\u23AD";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\lgroup" || delim === "\u27EE") {
+    top = "\u23A7";
+    bottom = "\u23A9";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\rgroup" || delim === "\u27EF") {
+    top = "\u23AB";
+    bottom = "\u23AD";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\lmoustache" || delim === "\u23B0") {
+    top = "\u23A7";
+    bottom = "\u23AD";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\rmoustache" || delim === "\u23B1") {
+    top = "\u23AB";
+    bottom = "\u23A9";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } // Get the metrics of the four sections
+
+
+  var topMetrics = delimiter_getMetrics(top, font, mode);
+  var topHeightTotal = topMetrics.height + topMetrics.depth;
+  var repeatMetrics = delimiter_getMetrics(repeat, font, mode);
+  var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
+  var bottomMetrics = delimiter_getMetrics(bottom, font, mode);
+  var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
+  var middleHeightTotal = 0;
+  var middleFactor = 1;
+
+  if (middle !== null) {
+    var middleMetrics = delimiter_getMetrics(middle, font, mode);
+    middleHeightTotal = middleMetrics.height + middleMetrics.depth;
+    middleFactor = 2; // repeat symmetrically above and below middle
+  } // Calcuate the minimal height that the delimiter can have.
+  // It is at least the size of the top, bottom, and optional middle combined.
+
+
+  var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need
+
+  var repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols
+
+  var realHeightTotal = minHeight + repeatCount * middleFactor * repeatHeightTotal; // The center of the delimiter is placed at the center of the axis. Note
+  // that in this context, "center" means that the delimiter should be
+  // centered around the axis in the current style, while normally it is
+  // centered around the axis in textstyle.
+
+  var axisHeight = options.fontMetrics().axisHeight;
+
+  if (center) {
+    axisHeight *= options.sizeMultiplier;
+  } // Calculate the depth
+
+
+  var depth = realHeightTotal / 2 - axisHeight; // This function differs from the TeX procedure in one way.
+  // We shift each repeat element downwards by 0.005em, to prevent a gap
+  // due to browser floating point rounding error.
+  // Then, at the last element-to element joint, we add one extra repeat
+  // element to cover the gap created by the shifts.
+  // Find the shift needed to align the upper end of the extra element at a point
+  // 0.005em above the lower end of the top element.
+
+  var shiftOfExtraElement = (repeatCount + 1) * 0.005 - repeatHeightTotal; // Now, we start building the pieces that will go into the vlist
+  // Keep a list of the inner pieces
+
+  var inners = []; // Add the bottom symbol
+
+  inners.push(delimiter_makeInner(bottom, font, mode));
+
+  if (middle === null) {
+    // Add that many symbols
+    for (var i = 0; i < repeatCount; i++) {
+      inners.push(lap); // overlap
+
+      inners.push(delimiter_makeInner(repeat, font, mode));
+    }
+  } else {
+    // When there is a middle bit, we need the middle part and two repeated
+    // sections
+    for (var _i = 0; _i < repeatCount; _i++) {
+      inners.push(lap);
+      inners.push(delimiter_makeInner(repeat, font, mode));
+    } // Insert one extra repeat element.
+
+
+    inners.push({
+      type: "kern",
+      size: shiftOfExtraElement
+    });
+    inners.push(delimiter_makeInner(repeat, font, mode));
+    inners.push(lap); // Now insert the middle of the brace.
+
+    inners.push(delimiter_makeInner(middle, font, mode));
+
+    for (var _i2 = 0; _i2 < repeatCount; _i2++) {
+      inners.push(lap);
+      inners.push(delimiter_makeInner(repeat, font, mode));
+    }
+  } // To cover the gap create by the overlaps, insert one more repeat element,
+  // at a position that juts 0.005 above the bottom of the top element.
+
+
+  inners.push({
+    type: "kern",
+    size: shiftOfExtraElement
+  });
+  inners.push(delimiter_makeInner(repeat, font, mode));
+  inners.push(lap); // Add the top symbol
+
+  inners.push(delimiter_makeInner(top, font, mode)); // Finally, build the vlist
+
+  var newOptions = options.havingBaseStyle(src_Style.TEXT);
+  var inner = buildCommon.makeVList({
+    positionType: "bottom",
+    positionData: depth,
+    children: inners
+  }, newOptions);
+  return delimiter_styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), src_Style.TEXT, options, classes);
+}; // All surds have 0.08em padding above the viniculum inside the SVG.
+// That keeps browser span height rounding error from pinching the line.
+
+
+var vbPad = 80; // padding above the surd, measured inside the viewBox.
+
+var emPad = 0.08; // padding, in ems, measured in the document.
+
+var delimiter_sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) {
+  var path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight);
+  var pathNode = new domTree_PathNode(sqrtName, path);
+  var svg = new SvgNode([pathNode], {
+    // Note: 1000:1 ratio of viewBox to document em width.
+    "width": "400em",
+    "height": height + "em",
+    "viewBox": "0 0 400000 " + viewBoxHeight,
+    "preserveAspectRatio": "xMinYMin slice"
+  });
+  return buildCommon.makeSvgSpan(["hide-tail"], [svg], options);
+};
+/**
+ * Make a sqrt image of the given height,
+ */
+
+
+var makeSqrtImage = function makeSqrtImage(height, options) {
+  // Define a newOptions that removes the effect of size changes such as \Huge.
+  // We don't pick different a height surd for \Huge. For it, we scale up.
+  var newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds.
+
+  var delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions);
+  var sizeMultiplier = newOptions.sizeMultiplier; // default
+  // The standard sqrt SVGs each have a 0.04em thick viniculum.
+  // If Settings.minRuleThickness is larger than that, we add extraViniculum.
+
+  var extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol.
+
+  var span;
+  var spanHeight = 0;
+  var texHeight = 0;
+  var viewBoxHeight = 0;
+  var advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd.
+  // Then browser rounding error on the parent span height will not
+  // encroach on the ink of the viniculum. But that padding is not
+  // included in the TeX-like `height` used for calculation of
+  // vertical alignment. So texHeight = span.height < span.style.height.
+
+  if (delim.type === "small") {
+    // Get an SVG that is derived from glyph U+221A in font KaTeX-Main.
+    // 1000 unit normal glyph height.
+    viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad;
+
+    if (height < 1.0) {
+      sizeMultiplier = 1.0; // mimic a \textfont radical
+    } else if (height < 1.4) {
+      sizeMultiplier = 0.7; // mimic a \scriptfont radical
+    }
+
+    spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier;
+    texHeight = (1.00 + extraViniculum) / sizeMultiplier;
+    span = delimiter_sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.853em";
+    advanceWidth = 0.833 / sizeMultiplier; // from the font.
+  } else if (delim.type === "large") {
+    // These SVGs come from fonts: KaTeX_Size1, _Size2, etc.
+    viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size];
+    texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier;
+    spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier;
+    span = delimiter_sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "1.02em";
+    advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font.
+  } else {
+    // Tall sqrt. In TeX, this would be stacked using multiple glyphs.
+    // We'll use a single SVG to accomplish the same thing.
+    spanHeight = height + extraViniculum + emPad;
+    texHeight = height + extraViniculum;
+    viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad;
+    span = delimiter_sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.742em";
+    advanceWidth = 1.056;
+  }
+
+  span.height = texHeight;
+  span.style.height = spanHeight + "em";
+  return {
+    span: span,
+    advanceWidth: advanceWidth,
+    // Calculate the actual line width.
+    // This actually should depend on the chosen font -- e.g. \boldmath
+    // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and
+    // have thicker rules.
+    ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier
+  };
+}; // There are three kinds of delimiters, delimiters that stack when they become
+// too large
+
+
+var stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230A", "\u230B", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack
+
+var stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27EE", "\u27EF", "\\lmoustache", "\\rmoustache", "\u23B0", "\u23B1"]; // and delimiters that never stack
+
+var stackNeverDelimiters = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"]; // Metrics of the different sizes. Found by looking at TeX's output of
+// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$
+// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.
+
+var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];
+/**
+ * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.
+ */
+
+var delimiter_makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) {
+  // < and > turn into \langle and \rangle in delimiters
+  if (delim === "<" || delim === "\\lt" || delim === "\u27E8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27E9") {
+    delim = "\\rangle";
+  } // Sized delimiters are never centered.
+
+
+  if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) {
+    return delimiter_makeLargeDelim(delim, size, false, options, mode, classes);
+  } else if (utils.contains(stackAlwaysDelimiters, delim)) {
+    return delimiter_makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes);
+  } else {
+    throw new src_ParseError("Illegal delimiter: '" + delim + "'");
+  }
+};
+/**
+ * There are three different sequences of delimiter sizes that the delimiters
+ * follow depending on the kind of delimiter. This is used when creating custom
+ * sized delimiters to decide whether to create a small, large, or stacked
+ * delimiter.
+ *
+ * In real TeX, these sequences aren't explicitly defined, but are instead
+ * defined inside the font metrics. Since there are only three sequences that
+ * are possible for the delimiters that TeX defines, it is easier to just encode
+ * them explicitly here.
+ */
+
+
+// Delimiters that never stack try small delimiters and large delimiters only
+var stackNeverDelimiterSequence = [{
+  type: "small",
+  style: src_Style.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: src_Style.SCRIPT
+}, {
+  type: "small",
+  style: src_Style.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}]; // Delimiters that always stack try the small delimiters first, then stack
+
+var stackAlwaysDelimiterSequence = [{
+  type: "small",
+  style: src_Style.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: src_Style.SCRIPT
+}, {
+  type: "small",
+  style: src_Style.TEXT
+}, {
+  type: "stack"
+}]; // Delimiters that stack when large try the small and then large delimiters, and
+// stack afterwards
+
+var stackLargeDelimiterSequence = [{
+  type: "small",
+  style: src_Style.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: src_Style.SCRIPT
+}, {
+  type: "small",
+  style: src_Style.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}, {
+  type: "stack"
+}];
+/**
+ * Get the font used in a delimiter based on what kind of delimiter it is.
+ * TODO(#963) Use more specific font family return type once that is introduced.
+ */
+
+var delimTypeToFont = function delimTypeToFont(type) {
+  if (type.type === "small") {
+    return "Main-Regular";
+  } else if (type.type === "large") {
+    return "Size" + type.size + "-Regular";
+  } else if (type.type === "stack") {
+    return "Size4-Regular";
+  } else {
+    throw new Error("Add support for delim type '" + type.type + "' here.");
+  }
+};
+/**
+ * Traverse a sequence of types of delimiters to decide what kind of delimiter
+ * should be used to create a delimiter of the given height+depth.
+ */
+
+
+var traverseSequence = function traverseSequence(delim, height, sequence, options) {
+  // Here, we choose the index we should start at in the sequences. In smaller
+  // sizes (which correspond to larger numbers in style.size) we start earlier
+  // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts
+  // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2
+  var start = Math.min(2, 3 - options.style.size);
+
+  for (var i = start; i < sequence.length; i++) {
+    if (sequence[i].type === "stack") {
+      // This is always the last delimiter, so we just break the loop now.
+      break;
+    }
+
+    var metrics = delimiter_getMetrics(delim, delimTypeToFont(sequence[i]), "math");
+    var heightDepth = metrics.height + metrics.depth; // Small delimiters are scaled down versions of the same font, so we
+    // account for the style change size.
+
+    if (sequence[i].type === "small") {
+      var newOptions = options.havingBaseStyle(sequence[i].style);
+      heightDepth *= newOptions.sizeMultiplier;
+    } // Check if the delimiter at this size works for the given height.
+
+
+    if (heightDepth > height) {
+      return sequence[i];
+    }
+  } // If we reached the end of the sequence, return the last sequence element.
+
+
+  return sequence[sequence.length - 1];
+};
+/**
+ * Make a delimiter of a given height+depth, with optional centering. Here, we
+ * traverse the sequences, and create a delimiter that the sequence tells us to.
+ */
+
+
+var delimiter_makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) {
+  if (delim === "<" || delim === "\\lt" || delim === "\u27E8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27E9") {
+    delim = "\\rangle";
+  } // Decide what sequence to use
+
+
+  var sequence;
+
+  if (utils.contains(stackNeverDelimiters, delim)) {
+    sequence = stackNeverDelimiterSequence;
+  } else if (utils.contains(stackLargeDelimiters, delim)) {
+    sequence = stackLargeDelimiterSequence;
+  } else {
+    sequence = stackAlwaysDelimiterSequence;
+  } // Look through the sequence
+
+
+  var delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs.
+  // Depending on the sequence element we decided on, call the
+  // appropriate function.
+
+  if (delimType.type === "small") {
+    return delimiter_makeSmallDelim(delim, delimType.style, center, options, mode, classes);
+  } else if (delimType.type === "large") {
+    return delimiter_makeLargeDelim(delim, delimType.size, center, options, mode, classes);
+  } else
+    /* if (delimType.type === "stack") */
+    {
+      return delimiter_makeStackedDelim(delim, height, center, options, mode, classes);
+    }
+};
+/**
+ * Make a delimiter for use with `\left` and `\right`, given a height and depth
+ * of an expression that the delimiters surround.
+ */
+
+
+var makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) {
+  // We always center \left/\right delimiters, so the axis is always shifted
+  var axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right
+
+  var delimiterFactor = 901;
+  var delimiterExtend = 5.0 / options.fontMetrics().ptPerEm;
+  var maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight);
+  var totalHeight = Math.max( // In real TeX, calculations are done using integral values which are
+  // 65536 per pt, or 655360 per em. So, the division here truncates in
+  // TeX but doesn't here, producing different results. If we wanted to
+  // exactly match TeX's calculation, we could do
+  //   Math.floor(655360 * maxDistFromAxis / 500) *
+  //    delimiterFactor / 655360
+  // (To see the difference, compare
+  //    x^{x^{\left(\rule{0.1em}{0.68em}\right)}}
+  // in TeX and KaTeX)
+  maxDistFromAxis / 500 * delimiterFactor, 2 * maxDistFromAxis - delimiterExtend); // Finally, we defer to `makeCustomSizedDelim` with our calculated total
+  // height
+
+  return delimiter_makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes);
+};
+
+/* harmony default export */ var delimiter = ({
+  sqrtImage: makeSqrtImage,
+  sizedDelim: delimiter_makeSizedDelim,
+  customSizedDelim: delimiter_makeCustomSizedDelim,
+  leftRightDelim: makeLeftRightDelim
+});
+// CONCATENATED MODULE: ./src/functions/delimsizing.js
+
+
+
+
+
+
+
+
+
+// Extra data needed for the delimiter handler down below
+var delimiterSizes = {
+  "\\bigl": {
+    mclass: "mopen",
+    size: 1
+  },
+  "\\Bigl": {
+    mclass: "mopen",
+    size: 2
+  },
+  "\\biggl": {
+    mclass: "mopen",
+    size: 3
+  },
+  "\\Biggl": {
+    mclass: "mopen",
+    size: 4
+  },
+  "\\bigr": {
+    mclass: "mclose",
+    size: 1
+  },
+  "\\Bigr": {
+    mclass: "mclose",
+    size: 2
+  },
+  "\\biggr": {
+    mclass: "mclose",
+    size: 3
+  },
+  "\\Biggr": {
+    mclass: "mclose",
+    size: 4
+  },
+  "\\bigm": {
+    mclass: "mrel",
+    size: 1
+  },
+  "\\Bigm": {
+    mclass: "mrel",
+    size: 2
+  },
+  "\\biggm": {
+    mclass: "mrel",
+    size: 3
+  },
+  "\\Biggm": {
+    mclass: "mrel",
+    size: 4
+  },
+  "\\big": {
+    mclass: "mord",
+    size: 1
+  },
+  "\\Big": {
+    mclass: "mord",
+    size: 2
+  },
+  "\\bigg": {
+    mclass: "mord",
+    size: 3
+  },
+  "\\Bigg": {
+    mclass: "mord",
+    size: 4
+  }
+};
+var delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230A", "\u230B", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27E8", "\\rangle", "\u27E9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27EE", "\u27EF", "\\lmoustache", "\\rmoustache", "\u23B0", "\u23B1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."];
+
+// Delimiter functions
+function checkDelimiter(delim, context) {
+  var symDelim = checkSymbolNodeType(delim);
+
+  if (symDelim && utils.contains(delimiters, symDelim.text)) {
+    return symDelim;
+  } else {
+    throw new src_ParseError("Invalid delimiter: '" + (symDelim ? symDelim.text : JSON.stringify(delim)) + "' after '" + context.funcName + "'", delim);
+  }
+}
+
+defineFunction({
+  type: "delimsizing",
+  names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var delim = checkDelimiter(args[0], context);
+    return {
+      type: "delimsizing",
+      mode: context.parser.mode,
+      size: delimiterSizes[context.funcName].size,
+      mclass: delimiterSizes[context.funcName].mclass,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (group.delim === ".") {
+      // Empty delimiters still count as elements, even though they don't
+      // show anything.
+      return buildCommon.makeSpan([group.mclass]);
+    } // Use delimiter.sizedDelim to generate the delimiter.
+
+
+    return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]);
+  },
+  mathmlBuilder: function mathmlBuilder(group) {
+    var children = [];
+
+    if (group.delim !== ".") {
+      children.push(buildMathML_makeText(group.delim, group.mode));
+    }
+
+    var node = new mathMLTree.MathNode("mo", children);
+
+    if (group.mclass === "mopen" || group.mclass === "mclose") {
+      // Only some of the delimsizing functions act as fences, and they
+      // return "mopen" or "mclose" mclass.
+      node.setAttribute("fence", "true");
+    } else {
+      // Explicitly disable fencing if it's not a fence, to override the
+      // defaults.
+      node.setAttribute("fence", "false");
+    }
+
+    return node;
+  }
+});
+
+function assertParsed(group) {
+  if (!group.body) {
+    throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
+  }
+}
+
+defineFunction({
+  type: "leftright-right",
+  names: ["\\right"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    // \left case below triggers parsing of \right in
+    //   `const right = parser.parseFunction();`
+    // uses this return value.
+    var color = context.parser.gullet.macros.get("\\current@color");
+
+    if (color && typeof color !== "string") {
+      throw new src_ParseError("\\current@color set to non-string in \\right");
+    }
+
+    return {
+      type: "leftright-right",
+      mode: context.parser.mode,
+      delim: checkDelimiter(args[0], context).text,
+      color: color // undefined if not set via \color
+
+    };
+  }
+});
+defineFunction({
+  type: "leftright",
+  names: ["\\left"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var delim = checkDelimiter(args[0], context);
+    var parser = context.parser; // Parse out the implicit body
+
+    ++parser.leftrightDepth; // parseExpression stops before '\\right'
+
+    var body = parser.parseExpression(false);
+    --parser.leftrightDepth; // Check the next token
+
+    parser.expect("\\right", false);
+    var right = assertNodeType(parser.parseFunction(), "leftright-right");
+    return {
+      type: "leftright",
+      mode: parser.mode,
+      body: body,
+      left: delim.text,
+      right: right.delim,
+      rightColor: right.color
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    assertParsed(group); // Build the inner expression
+
+    var inner = buildHTML_buildExpression(group.body, options, true, ["mopen", "mclose"]);
+    var innerHeight = 0;
+    var innerDepth = 0;
+    var hadMiddle = false; // Calculate its height and depth
+
+    for (var i = 0; i < inner.length; i++) {
+      // Property `isMiddle` not defined on `span`. See comment in
+      // "middle"'s htmlBuilder.
+      // $FlowFixMe
+      if (inner[i].isMiddle) {
+        hadMiddle = true;
+      } else {
+        innerHeight = Math.max(inner[i].height, innerHeight);
+        innerDepth = Math.max(inner[i].depth, innerDepth);
+      }
+    } // The size of delimiters is the same, regardless of what style we are
+    // in. Thus, to correctly calculate the size of delimiter we need around
+    // a group, we scale down the inner size based on the size.
+
+
+    innerHeight *= options.sizeMultiplier;
+    innerDepth *= options.sizeMultiplier;
+    var leftDelim;
+
+    if (group.left === ".") {
+      // Empty delimiters in \left and \right make null delimiter spaces.
+      leftDelim = makeNullDelimiter(options, ["mopen"]);
+    } else {
+      // Otherwise, use leftRightDelim to generate the correct sized
+      // delimiter.
+      leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]);
+    } // Add it to the beginning of the expression
+
+
+    inner.unshift(leftDelim); // Handle middle delimiters
+
+    if (hadMiddle) {
+      for (var _i = 1; _i < inner.length; _i++) {
+        var middleDelim = inner[_i]; // Property `isMiddle` not defined on `span`. See comment in
+        // "middle"'s htmlBuilder.
+        // $FlowFixMe
+
+        var isMiddle = middleDelim.isMiddle;
+
+        if (isMiddle) {
+          // Apply the options that were active when \middle was called
+          inner[_i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []);
+        }
+      }
+    }
+
+    var rightDelim; // Same for the right delimiter, but using color specified by \color
+
+    if (group.right === ".") {
+      rightDelim = makeNullDelimiter(options, ["mclose"]);
+    } else {
+      var colorOptions = group.rightColor ? options.withColor(group.rightColor) : options;
+      rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]);
+    } // Add it to the end of the expression.
+
+
+    inner.push(rightDelim);
+    return buildCommon.makeSpan(["minner"], inner, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    assertParsed(group);
+    var inner = buildMathML_buildExpression(group.body, options);
+
+    if (group.left !== ".") {
+      var leftNode = new mathMLTree.MathNode("mo", [buildMathML_makeText(group.left, group.mode)]);
+      leftNode.setAttribute("fence", "true");
+      inner.unshift(leftNode);
+    }
+
+    if (group.right !== ".") {
+      var rightNode = new mathMLTree.MathNode("mo", [buildMathML_makeText(group.right, group.mode)]);
+      rightNode.setAttribute("fence", "true");
+
+      if (group.rightColor) {
+        rightNode.setAttribute("mathcolor", group.rightColor);
+      }
+
+      inner.push(rightNode);
+    }
+
+    return buildMathML_makeRow(inner);
+  }
+});
+defineFunction({
+  type: "middle",
+  names: ["\\middle"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var delim = checkDelimiter(args[0], context);
+
+    if (!context.parser.leftrightDepth) {
+      throw new src_ParseError("\\middle without preceding \\left", delim);
+    }
+
+    return {
+      type: "middle",
+      mode: context.parser.mode,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var middleDelim;
+
+    if (group.delim === ".") {
+      middleDelim = makeNullDelimiter(options, []);
+    } else {
+      middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []);
+      var isMiddle = {
+        delim: group.delim,
+        options: options
+      }; // Property `isMiddle` not defined on `span`. It is only used in
+      // this file above.
+      // TODO: Fix this violation of the `span` type and possibly rename
+      // things since `isMiddle` sounds like a boolean, but is a struct.
+      // $FlowFixMe
+
+      middleDelim.isMiddle = isMiddle;
+    }
+
+    return middleDelim;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // A Firefox \middle will strech a character vertically only if it
+    // is in the fence part of the operator dictionary at:
+    // https://www.w3.org/TR/MathML3/appendixc.html.
+    // So we need to avoid U+2223 and use plain "|" instead.
+    var textNode = group.delim === "\\vert" || group.delim === "|" ? buildMathML_makeText("|", "text") : buildMathML_makeText(group.delim, group.mode);
+    var middleNode = new mathMLTree.MathNode("mo", [textNode]);
+    middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each <mo> element.
+    // \middle should get delimiter spacing instead.
+
+    middleNode.setAttribute("lspace", "0.05em");
+    middleNode.setAttribute("rspace", "0.05em");
+    return middleNode;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/enclose.js
+
+
+
+
+
+
+
+
+
+var enclose_htmlBuilder = function htmlBuilder(group, options) {
+  // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox
+  // Some groups can return document fragments.  Handle those by wrapping
+  // them in a span.
+  var inner = buildCommon.wrapFragment(buildHTML_buildGroup(group.body, options), options);
+  var label = group.label.substr(1);
+  var scale = options.sizeMultiplier;
+  var img;
+  var imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different
+  // depending on whether the subject is wider than it is tall, or vice versa.
+  // We don't know the width of a group, so as a proxy, we test if
+  // the subject is a single character. This captures most of the
+  // subjects that should get the "tall" treatment.
+
+  var isSingleChar = utils.isCharacterBox(group.body);
+
+  if (label === "sout") {
+    img = buildCommon.makeSpan(["stretchy", "sout"]);
+    img.height = options.fontMetrics().defaultRuleThickness / scale;
+    imgShift = -0.5 * options.fontMetrics().xHeight;
+  } else {
+    // Add horizontal padding
+    if (/cancel/.test(label)) {
+      if (!isSingleChar) {
+        inner.classes.push("cancel-pad");
+      }
+    } else {
+      inner.classes.push("boxpad");
+    } // Add vertical padding
+
+
+    var vertPad = 0;
+    var ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2"
+
+    if (/box/.test(label)) {
+      ruleThickness = Math.max(options.fontMetrics().fboxrule, // default
+      options.minRuleThickness // User override.
+      );
+      vertPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
+    } else {
+      vertPad = isSingleChar ? 0.2 : 0;
+    }
+
+    img = stretchy.encloseSpan(inner, label, vertPad, options);
+
+    if (/fbox|boxed|fcolorbox/.test(label)) {
+      img.style.borderStyle = "solid";
+      img.style.borderWidth = ruleThickness + "em";
+    }
+
+    imgShift = inner.depth + vertPad;
+
+    if (group.backgroundColor) {
+      img.style.backgroundColor = group.backgroundColor;
+
+      if (group.borderColor) {
+        img.style.borderColor = group.borderColor;
+      }
+    }
+  }
+
+  var vlist;
+
+  if (group.backgroundColor) {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Put the color background behind inner;
+      {
+        type: "elem",
+        elem: img,
+        shift: imgShift
+      }, {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }]
+    }, options);
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Write the \cancel stroke on top of inner.
+      {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }, {
+        type: "elem",
+        elem: img,
+        shift: imgShift,
+        wrapperClasses: /cancel/.test(label) ? ["svg-align"] : []
+      }]
+    }, options);
+  }
+
+  if (/cancel/.test(label)) {
+    // The cancel package documentation says that cancel lines add their height
+    // to the expression, but tests show that isn't how it actually works.
+    vlist.height = inner.height;
+    vlist.depth = inner.depth;
+  }
+
+  if (/cancel/.test(label) && !isSingleChar) {
+    // cancel does not create horiz space for its line extension.
+    return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options);
+  } else {
+    return buildCommon.makeSpan(["mord"], [vlist], options);
+  }
+};
+
+var enclose_mathmlBuilder = function mathmlBuilder(group, options) {
+  var fboxsep = 0;
+  var node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildMathML_buildGroup(group.body, options)]);
+
+  switch (group.label) {
+    case "\\cancel":
+      node.setAttribute("notation", "updiagonalstrike");
+      break;
+
+    case "\\bcancel":
+      node.setAttribute("notation", "downdiagonalstrike");
+      break;
+
+    case "\\sout":
+      node.setAttribute("notation", "horizontalstrike");
+      break;
+
+    case "\\fbox":
+      node.setAttribute("notation", "box");
+      break;
+
+    case "\\fcolorbox":
+    case "\\colorbox":
+      // <menclose> doesn't have a good notation option. So use <mpadded>
+      // instead. Set some attributes that come included with <menclose>.
+      fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm;
+      node.setAttribute("width", "+" + 2 * fboxsep + "pt");
+      node.setAttribute("height", "+" + 2 * fboxsep + "pt");
+      node.setAttribute("lspace", fboxsep + "pt"); //
+
+      node.setAttribute("voffset", fboxsep + "pt");
+
+      if (group.label === "\\fcolorbox") {
+        var thk = Math.max(options.fontMetrics().fboxrule, // default
+        options.minRuleThickness // user override
+        );
+        node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor));
+      }
+
+      break;
+
+    case "\\xcancel":
+      node.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
+      break;
+  }
+
+  if (group.backgroundColor) {
+    node.setAttribute("mathbackground", group.backgroundColor);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "enclose",
+  names: ["\\colorbox"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "text"]
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var color = assertNodeType(args[0], "color-token").color;
+    var body = args[1];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor: color,
+      body: body
+    };
+  },
+  htmlBuilder: enclose_htmlBuilder,
+  mathmlBuilder: enclose_mathmlBuilder
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fcolorbox"],
+  props: {
+    numArgs: 3,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "color", "text"]
+  },
+  handler: function handler(_ref2, args, optArgs) {
+    var parser = _ref2.parser,
+        funcName = _ref2.funcName;
+    var borderColor = assertNodeType(args[0], "color-token").color;
+    var backgroundColor = assertNodeType(args[1], "color-token").color;
+    var body = args[2];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor: backgroundColor,
+      borderColor: borderColor,
+      body: body
+    };
+  },
+  htmlBuilder: enclose_htmlBuilder,
+  mathmlBuilder: enclose_mathmlBuilder
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fbox"],
+  props: {
+    numArgs: 1,
+    argTypes: ["hbox"],
+    allowedInText: true
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser;
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: "\\fbox",
+      body: args[0]
+    };
+  }
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref4, args, optArgs) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    var body = args[0];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      body: body
+    };
+  },
+  htmlBuilder: enclose_htmlBuilder,
+  mathmlBuilder: enclose_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/defineEnvironment.js
+
+
+/**
+ * All registered environments.
+ * `environments.js` exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary via `environments.js`.
+ */
+var _environments = {};
+function defineEnvironment(_ref) {
+  var type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of environments.
+  var data = {
+    type: type,
+    numArgs: props.numArgs || 0,
+    greediness: 1,
+    allowedInText: false,
+    numOptionalArgs: 0,
+    handler: handler
+  };
+
+  for (var i = 0; i < names.length; ++i) {
+    // TODO: The value type of _environments should be a type union of all
+    // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is
+    // an existential type.
+    // $FlowFixMe
+    _environments[names[i]] = data;
+  }
+
+  if (htmlBuilder) {
+    _htmlGroupBuilders[type] = htmlBuilder;
+  }
+
+  if (mathmlBuilder) {
+    _mathmlGroupBuilders[type] = mathmlBuilder;
+  }
+}
+// CONCATENATED MODULE: ./src/environments/array.js
+
+
+
+
+
+
+
+
+
+
+
+
+
+function getHLines(parser) {
+  // Return an array. The array length = number of hlines.
+  // Each element in the array tells if the line is dashed.
+  var hlineInfo = [];
+  parser.consumeSpaces();
+  var nxt = parser.fetch().text;
+
+  while (nxt === "\\hline" || nxt === "\\hdashline") {
+    parser.consume();
+    hlineInfo.push(nxt === "\\hdashline");
+    parser.consumeSpaces();
+    nxt = parser.fetch().text;
+  }
+
+  return hlineInfo;
+}
+/**
+ * Parse the body of the environment, with rows delimited by \\ and
+ * columns delimited by &, and create a nested list in row-major order
+ * with one group per cell.  If given an optional argument style
+ * ("text", "display", etc.), then each cell is cast into that style.
+ */
+
+
+function parseArray(parser, _ref, style) {
+  var hskipBeforeAndAfter = _ref.hskipBeforeAndAfter,
+      addJot = _ref.addJot,
+      cols = _ref.cols,
+      arraystretch = _ref.arraystretch,
+      colSeparationType = _ref.colSeparationType;
+  // Parse body of array with \\ temporarily mapped to \cr
+  parser.gullet.beginGroup();
+  parser.gullet.macros.set("\\\\", "\\cr"); // Get current arraystretch if it's not set by the environment
+
+  if (!arraystretch) {
+    var stretch = parser.gullet.expandMacroAsText("\\arraystretch");
+
+    if (stretch == null) {
+      // Default \arraystretch from lttab.dtx
+      arraystretch = 1;
+    } else {
+      arraystretch = parseFloat(stretch);
+
+      if (!arraystretch || arraystretch < 0) {
+        throw new src_ParseError("Invalid \\arraystretch: " + stretch);
+      }
+    }
+  } // Start group for first cell
+
+
+  parser.gullet.beginGroup();
+  var row = [];
+  var body = [row];
+  var rowGaps = [];
+  var hLinesBeforeRow = []; // Test for \hline at the top of the array.
+
+  hLinesBeforeRow.push(getHLines(parser));
+
+  while (true) {
+    // eslint-disable-line no-constant-condition
+    // Parse each cell in its own group (namespace)
+    var cell = parser.parseExpression(false, "\\cr");
+    parser.gullet.endGroup();
+    parser.gullet.beginGroup();
+    cell = {
+      type: "ordgroup",
+      mode: parser.mode,
+      body: cell
+    };
+
+    if (style) {
+      cell = {
+        type: "styling",
+        mode: parser.mode,
+        style: style,
+        body: [cell]
+      };
+    }
+
+    row.push(cell);
+    var next = parser.fetch().text;
+
+    if (next === "&") {
+      parser.consume();
+    } else if (next === "\\end") {
+      // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
+      // the last line is empty.
+      // NOTE: Currently, `cell` is the last item added into `row`.
+      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0) {
+        body.pop();
+      }
+
+      if (hLinesBeforeRow.length < body.length + 1) {
+        hLinesBeforeRow.push([]);
+      }
+
+      break;
+    } else if (next === "\\cr") {
+      var cr = assertNodeType(parser.parseFunction(), "cr");
+      rowGaps.push(cr.size); // check for \hline(s) following the row separator
+
+      hLinesBeforeRow.push(getHLines(parser));
+      row = [];
+      body.push(row);
+    } else {
+      throw new src_ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
+    }
+  } // End cell group
+
+
+  parser.gullet.endGroup(); // End array group defining \\
+
+  parser.gullet.endGroup();
+  return {
+    type: "array",
+    mode: parser.mode,
+    addJot: addJot,
+    arraystretch: arraystretch,
+    body: body,
+    cols: cols,
+    rowGaps: rowGaps,
+    hskipBeforeAndAfter: hskipBeforeAndAfter,
+    hLinesBeforeRow: hLinesBeforeRow,
+    colSeparationType: colSeparationType
+  };
+} // Decides on a style for cells in an array according to whether the given
+// environment name starts with the letter 'd'.
+
+
+function dCellStyle(envName) {
+  if (envName.substr(0, 1) === "d") {
+    return "display";
+  } else {
+    return "text";
+  }
+}
+
+var array_htmlBuilder = function htmlBuilder(group, options) {
+  var r;
+  var c;
+  var nr = group.body.length;
+  var hLinesBeforeRow = group.hLinesBeforeRow;
+  var nc = 0;
+  var body = new Array(nr);
+  var hlines = [];
+  var ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em.
+  options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override.
+  ); // Horizontal spacing
+
+  var pt = 1 / options.fontMetrics().ptPerEm;
+  var arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls
+
+  if (group.colSeparationType && group.colSeparationType === "small") {
+    // We're in a {smallmatrix}. Default column space is \thickspace,
+    // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}.
+    // But that needs adjustment because LaTeX applies \scriptstyle to the
+    // entire array, including the colspace, but this function applies
+    // \scriptstyle only inside each element.
+    var localMultiplier = options.havingStyle(src_Style.SCRIPT).sizeMultiplier;
+    arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier);
+  } // Vertical spacing
+
+
+  var baselineskip = 12 * pt; // see size10.clo
+  // Default \jot from ltmath.dtx
+  // TODO(edemaine): allow overriding \jot via \setlength (#687)
+
+  var jot = 3 * pt;
+  var arrayskip = group.arraystretch * baselineskip;
+  var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and
+
+  var arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx
+
+  var totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any.
+
+  function setHLinePos(hlinesInGap) {
+    for (var i = 0; i < hlinesInGap.length; ++i) {
+      if (i > 0) {
+        totalHeight += 0.25;
+      }
+
+      hlines.push({
+        pos: totalHeight,
+        isDashed: hlinesInGap[i]
+      });
+    }
+  }
+
+  setHLinePos(hLinesBeforeRow[0]);
+
+  for (r = 0; r < group.body.length; ++r) {
+    var inrow = group.body[r];
+    var height = arstrutHeight; // \@array adds an \@arstrut
+
+    var depth = arstrutDepth; // to each tow (via the template)
+
+    if (nc < inrow.length) {
+      nc = inrow.length;
+    }
+
+    var outrow = new Array(inrow.length);
+
+    for (c = 0; c < inrow.length; ++c) {
+      var elt = buildHTML_buildGroup(inrow[c], options);
+
+      if (depth < elt.depth) {
+        depth = elt.depth;
+      }
+
+      if (height < elt.height) {
+        height = elt.height;
+      }
+
+      outrow[c] = elt;
+    }
+
+    var rowGap = group.rowGaps[r];
+    var gap = 0;
+
+    if (rowGap) {
+      gap = units_calculateSize(rowGap, options);
+
+      if (gap > 0) {
+        // \@argarraycr
+        gap += arstrutDepth;
+
+        if (depth < gap) {
+          depth = gap; // \@xargarraycr
+        }
+
+        gap = 0;
+      }
+    } // In AMS multiline environments such as aligned and gathered, rows
+    // correspond to lines that have additional \jot added to the
+    // \baselineskip via \openup.
+
+
+    if (group.addJot) {
+      depth += jot;
+    }
+
+    outrow.height = height;
+    outrow.depth = depth;
+    totalHeight += height;
+    outrow.pos = totalHeight;
+    totalHeight += depth + gap; // \@yargarraycr
+
+    body[r] = outrow; // Set a position for \hline(s), if any.
+
+    setHLinePos(hLinesBeforeRow[r + 1]);
+  }
+
+  var offset = totalHeight / 2 + options.fontMetrics().axisHeight;
+  var colDescriptions = group.cols || [];
+  var cols = [];
+  var colSep;
+  var colDescrNum;
+
+  for (c = 0, colDescrNum = 0; // Continue while either there are more columns or more column
+  // descriptions, so trailing separators don't get lost.
+  c < nc || colDescrNum < colDescriptions.length; ++c, ++colDescrNum) {
+    var colDescr = colDescriptions[colDescrNum] || {};
+    var firstSeparator = true;
+
+    while (colDescr.type === "separator") {
+      // If there is more than one separator in a row, add a space
+      // between them.
+      if (!firstSeparator) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = options.fontMetrics().doubleRuleSep + "em";
+        cols.push(colSep);
+      }
+
+      if (colDescr.separator === "|" || colDescr.separator === ":") {
+        var lineType = colDescr.separator === "|" ? "solid" : "dashed";
+        var separator = buildCommon.makeSpan(["vertical-separator"], [], options);
+        separator.style.height = totalHeight + "em";
+        separator.style.borderRightWidth = ruleThickness + "em";
+        separator.style.borderRightStyle = lineType;
+        separator.style.margin = "0 -" + ruleThickness / 2 + "em";
+        separator.style.verticalAlign = -(totalHeight - offset) + "em";
+        cols.push(separator);
+      } else {
+        throw new src_ParseError("Invalid separator type: " + colDescr.separator);
+      }
+
+      colDescrNum++;
+      colDescr = colDescriptions[colDescrNum] || {};
+      firstSeparator = false;
+    }
+
+    if (c >= nc) {
+      continue;
+    }
+
+    var sepwidth = void 0;
+
+    if (c > 0 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.pregap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+
+    var col = [];
+
+    for (r = 0; r < nr; ++r) {
+      var row = body[r];
+      var elem = row[c];
+
+      if (!elem) {
+        continue;
+      }
+
+      var shift = row.pos - offset;
+      elem.depth = row.depth;
+      elem.height = row.height;
+      col.push({
+        type: "elem",
+        elem: elem,
+        shift: shift
+      });
+    }
+
+    col = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: col
+    }, options);
+    col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]);
+    cols.push(col);
+
+    if (c < nc - 1 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.postgap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+  }
+
+  body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any.
+
+  if (hlines.length > 0) {
+    var line = buildCommon.makeLineSpan("hline", options, ruleThickness);
+    var dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness);
+    var vListElems = [{
+      type: "elem",
+      elem: body,
+      shift: 0
+    }];
+
+    while (hlines.length > 0) {
+      var hline = hlines.pop();
+      var lineShift = hline.pos - offset;
+
+      if (hline.isDashed) {
+        vListElems.push({
+          type: "elem",
+          elem: dashes,
+          shift: lineShift
+        });
+      } else {
+        vListElems.push({
+          type: "elem",
+          elem: line,
+          shift: lineShift
+        });
+      }
+    }
+
+    body = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: vListElems
+    }, options);
+  }
+
+  return buildCommon.makeSpan(["mord"], [body], options);
+};
+
+var alignMap = {
+  c: "center ",
+  l: "left ",
+  r: "right "
+};
+
+var array_mathmlBuilder = function mathmlBuilder(group, options) {
+  var table = new mathMLTree.MathNode("mtable", group.body.map(function (row) {
+    return new mathMLTree.MathNode("mtr", row.map(function (cell) {
+      return new mathMLTree.MathNode("mtd", [buildMathML_buildGroup(cell, options)]);
+    }));
+  })); // Set column alignment, row spacing, column spacing, and
+  // array lines by setting attributes on the table element.
+  // Set the row spacing. In MathML, we specify a gap distance.
+  // We do not use rowGap[] because MathML automatically increases
+  // cell height with the height/depth of the element content.
+  // LaTeX \arraystretch multiplies the row baseline-to-baseline distance.
+  // We simulate this by adding (arraystretch - 1)em to the gap. This
+  // does a reasonable job of adjusting arrays containing 1 em tall content.
+  // The 0.16 and 0.09 values are found emprically. They produce an array
+  // similar to LaTeX and in which content does not interfere with \hines.
+
+  var gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
+  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
+  table.setAttribute("rowspacing", gap + "em"); // MathML table lines go only between cells.
+  // To place a line on an edge we'll use <menclose>, if necessary.
+
+  var menclose = "";
+  var align = "";
+
+  if (group.cols) {
+    // Find column alignment, column spacing, and  vertical lines.
+    var cols = group.cols;
+    var columnLines = "";
+    var prevTypeWasAlign = false;
+    var iStart = 0;
+    var iEnd = cols.length;
+
+    if (cols[0].type === "separator") {
+      menclose += "top ";
+      iStart = 1;
+    }
+
+    if (cols[cols.length - 1].type === "separator") {
+      menclose += "bottom ";
+      iEnd -= 1;
+    }
+
+    for (var i = iStart; i < iEnd; i++) {
+      if (cols[i].type === "align") {
+        align += alignMap[cols[i].align];
+
+        if (prevTypeWasAlign) {
+          columnLines += "none ";
+        }
+
+        prevTypeWasAlign = true;
+      } else if (cols[i].type === "separator") {
+        // MathML accepts only single lines between cells.
+        // So we read only the first of consecutive separators.
+        if (prevTypeWasAlign) {
+          columnLines += cols[i].separator === "|" ? "solid " : "dashed ";
+          prevTypeWasAlign = false;
+        }
+      }
+    }
+
+    table.setAttribute("columnalign", align.trim());
+
+    if (/[sd]/.test(columnLines)) {
+      table.setAttribute("columnlines", columnLines.trim());
+    }
+  } // Set column spacing.
+
+
+  if (group.colSeparationType === "align") {
+    var _cols = group.cols || [];
+
+    var spacing = "";
+
+    for (var _i = 1; _i < _cols.length; _i++) {
+      spacing += _i % 2 ? "0em " : "1em ";
+    }
+
+    table.setAttribute("columnspacing", spacing.trim());
+  } else if (group.colSeparationType === "alignat") {
+    table.setAttribute("columnspacing", "0em");
+  } else if (group.colSeparationType === "small") {
+    table.setAttribute("columnspacing", "0.2778em");
+  } else {
+    table.setAttribute("columnspacing", "1em");
+  } // Address \hline and \hdashline
+
+
+  var rowLines = "";
+  var hlines = group.hLinesBeforeRow;
+  menclose += hlines[0].length > 0 ? "left " : "";
+  menclose += hlines[hlines.length - 1].length > 0 ? "right " : "";
+
+  for (var _i2 = 1; _i2 < hlines.length - 1; _i2++) {
+    rowLines += hlines[_i2].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
+    : hlines[_i2][0] ? "dashed " : "solid ";
+  }
+
+  if (/[sd]/.test(rowLines)) {
+    table.setAttribute("rowlines", rowLines.trim());
+  }
+
+  if (menclose !== "") {
+    table = new mathMLTree.MathNode("menclose", [table]);
+    table.setAttribute("notation", menclose.trim());
+  }
+
+  if (group.arraystretch && group.arraystretch < 1) {
+    // A small array. Wrap in scriptstyle so row gap is not too large.
+    table = new mathMLTree.MathNode("mstyle", [table]);
+    table.setAttribute("scriptlevel", "1");
+  }
+
+  return table;
+}; // Convenience function for aligned and alignedat environments.
+
+
+var array_alignedHandler = function alignedHandler(context, args) {
+  var cols = [];
+  var res = parseArray(context.parser, {
+    cols: cols,
+    addJot: true
+  }, "display"); // Determining number of columns.
+  // 1. If the first argument is given, we use it as a number of columns,
+  //    and makes sure that each row doesn't exceed that number.
+  // 2. Otherwise, just count number of columns = maximum number
+  //    of cells in each row ("aligned" mode -- isAligned will be true).
+  //
+  // At the same time, prepend empty group {} at beginning of every second
+  // cell in each row (starting with second cell) so that operators become
+  // binary.  This behavior is implemented in amsmath's \start@aligned.
+
+  var numMaths;
+  var numCols = 0;
+  var emptyGroup = {
+    type: "ordgroup",
+    mode: context.mode,
+    body: []
+  };
+  var ordgroup = checkNodeType(args[0], "ordgroup");
+
+  if (ordgroup) {
+    var arg0 = "";
+
+    for (var i = 0; i < ordgroup.body.length; i++) {
+      var textord = assertNodeType(ordgroup.body[i], "textord");
+      arg0 += textord.text;
+    }
+
+    numMaths = Number(arg0);
+    numCols = numMaths * 2;
+  }
+
+  var isAligned = !numCols;
+  res.body.forEach(function (row) {
+    for (var _i3 = 1; _i3 < row.length; _i3 += 2) {
+      // Modify ordgroup node within styling node
+      var styling = assertNodeType(row[_i3], "styling");
+
+      var _ordgroup = assertNodeType(styling.body[0], "ordgroup");
+
+      _ordgroup.body.unshift(emptyGroup);
+    }
+
+    if (!isAligned) {
+      // Case 1
+      var curMaths = row.length / 2;
+
+      if (numMaths < curMaths) {
+        throw new src_ParseError("Too many math in a row: " + ("expected " + numMaths + ", but got " + curMaths), row[0]);
+      }
+    } else if (numCols < row.length) {
+      // Case 2
+      numCols = row.length;
+    }
+  }); // Adjusting alignment.
+  // In aligned mode, we add one \qquad between columns;
+  // otherwise we add nothing.
+
+  for (var _i4 = 0; _i4 < numCols; ++_i4) {
+    var align = "r";
+    var pregap = 0;
+
+    if (_i4 % 2 === 1) {
+      align = "l";
+    } else if (_i4 > 0 && isAligned) {
+      // "aligned" mode.
+      pregap = 1; // add one \quad
+    }
+
+    cols[_i4] = {
+      type: "align",
+      align: align,
+      pregap: pregap,
+      postgap: 0
+    };
+  }
+
+  res.colSeparationType = isAligned ? "align" : "alignat";
+  return res;
+}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation
+// is part of the source2e.pdf file of LaTeX2e source documentation.
+// {darray} is an {array} environment where cells are set in \displaystyle,
+// as defined in nccmath.sty.
+
+
+defineEnvironment({
+  type: "array",
+  names: ["array", "darray"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    // Since no types are specified above, the two possibilities are
+    // - The argument is wrapped in {} or [], in which case Parser's
+    //   parseGroup() returns an "ordgroup" wrapping some symbol node.
+    // - The argument is a bare symbol node.
+    var symNode = checkSymbolNodeType(args[0]);
+    var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    var cols = colalign.map(function (nde) {
+      var node = assertSymbolNodeType(nde);
+      var ca = node.text;
+
+      if ("lcr".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      } else if (ca === "|") {
+        return {
+          type: "separator",
+          separator: "|"
+        };
+      } else if (ca === ":") {
+        return {
+          type: "separator",
+          separator: ":"
+        };
+      }
+
+      throw new src_ParseError("Unknown column alignment: " + ca, nde);
+    });
+    var res = {
+      cols: cols,
+      hskipBeforeAndAfter: true // \@preamble in lttab.dtx
+
+    };
+    return parseArray(context.parser, res, dCellStyle(context.envName));
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // The matrix environments of amsmath builds on the array environment
+// of LaTeX, which is discussed above.
+
+defineEnvironment({
+  type: "array",
+  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var delimiters = {
+      "matrix": null,
+      "pmatrix": ["(", ")"],
+      "bmatrix": ["[", "]"],
+      "Bmatrix": ["\\{", "\\}"],
+      "vmatrix": ["|", "|"],
+      "Vmatrix": ["\\Vert", "\\Vert"]
+    }[context.envName]; // \hskip -\arraycolsep in amsmath
+
+    var payload = {
+      hskipBeforeAndAfter: false
+    };
+    var res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return delimiters ? {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: delimiters[0],
+      right: delimiters[1],
+      rightColor: undefined // \right uninfluenced by \color in array
+
+    } : res;
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+});
+defineEnvironment({
+  type: "array",
+  names: ["smallmatrix"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var payload = {
+      arraystretch: 0.5
+    };
+    var res = parseArray(context.parser, payload, "script");
+    res.colSeparationType = "small";
+    return res;
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+});
+defineEnvironment({
+  type: "array",
+  names: ["subarray"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    // Parsing of {subarray} is similar to {array}
+    var symNode = checkSymbolNodeType(args[0]);
+    var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    var cols = colalign.map(function (nde) {
+      var node = assertSymbolNodeType(nde);
+      var ca = node.text; // {subarray} only recognizes "l" & "c"
+
+      if ("lc".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      }
+
+      throw new src_ParseError("Unknown column alignment: " + ca, nde);
+    });
+
+    if (cols.length > 1) {
+      throw new src_ParseError("{subarray} can contain only one column");
+    }
+
+    var res = {
+      cols: cols,
+      hskipBeforeAndAfter: false,
+      arraystretch: 0.5
+    };
+    res = parseArray(context.parser, res, "script");
+
+    if (res.body[0].length > 1) {
+      throw new src_ParseError("{subarray} can contain only one column");
+    }
+
+    return res;
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // A cases environment (in amsmath.sty) is almost equivalent to
+// \def\arraystretch{1.2}%
+// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
+// {dcases} is a {cases} environment where cells are set in \displaystyle,
+// as defined in mathtools.sty.
+
+defineEnvironment({
+  type: "array",
+  names: ["cases", "dcases"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var payload = {
+      arraystretch: 1.2,
+      cols: [{
+        type: "align",
+        align: "l",
+        pregap: 0,
+        // TODO(kevinb) get the current style.
+        // For now we use the metrics for TEXT style which is what we were
+        // doing before.  Before attempting to get the current style we
+        // should look at TeX's behavior especially for \over and matrices.
+        postgap: 1.0
+        /* 1em quad */
+
+      }, {
+        type: "align",
+        align: "l",
+        pregap: 0,
+        postgap: 0
+      }]
+    };
+    var res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: "\\{",
+      right: ".",
+      rightColor: undefined
+    };
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // An aligned environment is like the align* environment
+// except it operates within math mode.
+// Note that we assume \nomallineskiplimit to be zero,
+// so that \strut@ is the same as \strut.
+
+defineEnvironment({
+  type: "array",
+  names: ["aligned"],
+  props: {
+    numArgs: 0
+  },
+  handler: array_alignedHandler,
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // A gathered environment is like an array environment with one centered
+// column, but where rows are considered lines so get \jot line spacing
+// and contents are set in \displaystyle.
+
+defineEnvironment({
+  type: "array",
+  names: ["gathered"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var res = {
+      cols: [{
+        type: "align",
+        align: "c"
+      }],
+      addJot: true
+    };
+    return parseArray(context.parser, res, "display");
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // alignat environment is like an align environment, but one must explicitly
+// specify maximum number of columns in each row, and can adjust spacing between
+// each columns.
+
+defineEnvironment({
+  type: "array",
+  names: ["alignedat"],
+  // One for numbered and for unnumbered;
+  // but, KaTeX doesn't supports math numbering yet,
+  // they make no difference for now.
+  props: {
+    numArgs: 1
+  },
+  handler: array_alignedHandler,
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // Catch \hline outside array environment
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\hline", "\\hdashline"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: true
+  },
+  handler: function handler(context, args) {
+    throw new src_ParseError(context.funcName + " valid only within array environment");
+  }
+});
+// CONCATENATED MODULE: ./src/environments.js
+
+var environments = _environments;
+/* harmony default export */ var src_environments = (environments); // All environment definitions should be imported below
+
+
+// CONCATENATED MODULE: ./src/functions/environment.js
+
+
+
+ // Environment delimiters. HTML/MathML rendering is defined in the corresponding
+// defineEnvironment definitions.
+// $FlowFixMe, "environment" handler returns an environment ParseNode
+
+defineFunction({
+  type: "environment",
+  names: ["\\begin", "\\end"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"]
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var nameGroup = args[0];
+
+    if (nameGroup.type !== "ordgroup") {
+      throw new src_ParseError("Invalid environment name", nameGroup);
+    }
+
+    var envName = "";
+
+    for (var i = 0; i < nameGroup.body.length; ++i) {
+      envName += assertNodeType(nameGroup.body[i], "textord").text;
+    }
+
+    if (funcName === "\\begin") {
+      // begin...end is similar to left...right
+      if (!src_environments.hasOwnProperty(envName)) {
+        throw new src_ParseError("No such environment: " + envName, nameGroup);
+      } // Build the environment object. Arguments and other information will
+      // be made available to the begin and end methods using properties.
+
+
+      var env = src_environments[envName];
+
+      var _parser$parseArgument = parser.parseArguments("\\begin{" + envName + "}", env),
+          _args = _parser$parseArgument.args,
+          optArgs = _parser$parseArgument.optArgs;
+
+      var context = {
+        mode: parser.mode,
+        envName: envName,
+        parser: parser
+      };
+      var result = env.handler(context, _args, optArgs);
+      parser.expect("\\end", false);
+      var endNameToken = parser.nextToken;
+      var end = assertNodeType(parser.parseFunction(), "environment");
+
+      if (end.name !== envName) {
+        throw new src_ParseError("Mismatch: \\begin{" + envName + "} matched by \\end{" + end.name + "}", endNameToken);
+      }
+
+      return result;
+    }
+
+    return {
+      type: "environment",
+      mode: parser.mode,
+      name: envName,
+      nameGroup: nameGroup
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/functions/mclass.js
+
+
+
+
+
+
+var mclass_makeSpan = buildCommon.makeSpan;
+
+function mclass_htmlBuilder(group, options) {
+  var elements = buildHTML_buildExpression(group.body, options, true);
+  return mclass_makeSpan([group.mclass], elements, options);
+}
+
+function mclass_mathmlBuilder(group, options) {
+  var node;
+  var inner = buildMathML_buildExpression(group.body, options);
+
+  if (group.mclass === "minner") {
+    return mathMLTree.newDocumentFragment(inner);
+  } else if (group.mclass === "mord") {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mi";
+    } else {
+      node = new mathMLTree.MathNode("mi", inner);
+    }
+  } else {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mo";
+    } else {
+      node = new mathMLTree.MathNode("mo", inner);
+    } // Set spacing based on what is the most likely adjacent atom type.
+    // See TeXbook p170.
+
+
+    if (group.mclass === "mbin") {
+      node.attributes.lspace = "0.22em"; // medium space
+
+      node.attributes.rspace = "0.22em";
+    } else if (group.mclass === "mpunct") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0.17em"; // thinspace
+    } else if (group.mclass === "mopen" || group.mclass === "mclose") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0em";
+    } // MathML <mo> default space is 5/18 em, so <mrel> needs no action.
+    // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo
+
+  }
+
+  return node;
+} // Math class commands except \mathop
+
+
+defineFunction({
+  type: "mclass",
+  names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: "m" + funcName.substr(5),
+      // TODO(kevinb): don't prefix with 'm'
+      body: defineFunction_ordargument(body),
+      isCharacterBox: utils.isCharacterBox(body)
+    };
+  },
+  htmlBuilder: mclass_htmlBuilder,
+  mathmlBuilder: mclass_mathmlBuilder
+});
+var binrelClass = function binrelClass(arg) {
+  // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument.
+  // (by rendering separately and with {}s before and after, and measuring
+  // the change in spacing).  We'll do roughly the same by detecting the
+  // atom type directly.
+  var atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg;
+
+  if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) {
+    return "m" + atom.family;
+  } else {
+    return "mord";
+  }
+}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord.
+// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX.
+
+defineFunction({
+  type: "mclass",
+  names: ["\\@binrel"],
+  props: {
+    numArgs: 2
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(args[0]),
+      body: [args[1]],
+      isCharacterBox: utils.isCharacterBox(args[1])
+    };
+  }
+}); // Build a relation or stacked op by placing one symbol on top of another
+
+defineFunction({
+  type: "mclass",
+  names: ["\\stackrel", "\\overset", "\\underset"],
+  props: {
+    numArgs: 2
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    var baseArg = args[1];
+    var shiftedArg = args[0];
+    var mclass;
+
+    if (funcName !== "\\stackrel") {
+      // LaTeX applies \binrel spacing to \overset and \underset.
+      mclass = binrelClass(baseArg);
+    } else {
+      mclass = "mrel"; // for \stackrel
+    }
+
+    var baseOp = {
+      type: "op",
+      mode: baseArg.mode,
+      limits: true,
+      alwaysHandleSupSub: true,
+      parentIsSupSub: false,
+      symbol: false,
+      suppressBaseShift: funcName !== "\\stackrel",
+      body: defineFunction_ordargument(baseArg)
+    };
+    var supsub = {
+      type: "supsub",
+      mode: shiftedArg.mode,
+      base: baseOp,
+      sup: funcName === "\\underset" ? null : shiftedArg,
+      sub: funcName === "\\underset" ? shiftedArg : null
+    };
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: mclass,
+      body: [supsub],
+      isCharacterBox: utils.isCharacterBox(supsub)
+    };
+  },
+  htmlBuilder: mclass_htmlBuilder,
+  mathmlBuilder: mclass_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/font.js
+// TODO(kevinb): implement \\sl and \\sc
+
+
+
+
+
+
+var font_htmlBuilder = function htmlBuilder(group, options) {
+  var font = group.font;
+  var newOptions = options.withFont(font);
+  return buildHTML_buildGroup(group.body, newOptions);
+};
+
+var font_mathmlBuilder = function mathmlBuilder(group, options) {
+  var font = group.font;
+  var newOptions = options.withFont(font);
+  return buildMathML_buildGroup(group.body, newOptions);
+};
+
+var fontAliases = {
+  "\\Bbb": "\\mathbb",
+  "\\bold": "\\mathbf",
+  "\\frak": "\\mathfrak",
+  "\\bm": "\\boldsymbol"
+};
+defineFunction({
+  type: "font",
+  names: [// styles, except \boldsymbol defined below
+  "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families
+  "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below
+  "\\Bbb", "\\bold", "\\frak"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    var func = funcName;
+
+    if (func in fontAliases) {
+      func = fontAliases[func];
+    }
+
+    return {
+      type: "font",
+      mode: parser.mode,
+      font: func.slice(1),
+      body: body
+    };
+  },
+  htmlBuilder: font_htmlBuilder,
+  mathmlBuilder: font_mathmlBuilder
+});
+defineFunction({
+  type: "mclass",
+  names: ["\\boldsymbol", "\\bm"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var body = args[0];
+    var isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the
+    // argument's bin|rel|ord status
+
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(body),
+      body: [{
+        type: "font",
+        mode: parser.mode,
+        font: "boldsymbol",
+        body: body
+      }],
+      isCharacterBox: isCharacterBox
+    };
+  }
+}); // Old font changing functions
+
+defineFunction({
+  type: "font",
+  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName,
+        breakOnTokenText = _ref3.breakOnTokenText;
+    var mode = parser.mode;
+    var body = parser.parseExpression(true, breakOnTokenText);
+    var style = "math" + funcName.slice(1);
+    return {
+      type: "font",
+      mode: mode,
+      font: style,
+      body: {
+        type: "ordgroup",
+        mode: parser.mode,
+        body: body
+      }
+    };
+  },
+  htmlBuilder: font_htmlBuilder,
+  mathmlBuilder: font_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/genfrac.js
+
+
+
+
+
+
+
+
+
+
+
+var genfrac_adjustStyle = function adjustStyle(size, originalStyle) {
+  // Figure out what style this fraction should be in based on the
+  // function used
+  var style = originalStyle;
+
+  if (size === "display") {
+    // Get display style as a default.
+    // If incoming style is sub/sup, use style.text() to get correct size.
+    style = style.id >= src_Style.SCRIPT.id ? style.text() : src_Style.DISPLAY;
+  } else if (size === "text" && style.size === src_Style.DISPLAY.size) {
+    // We're in a \tfrac but incoming style is displaystyle, so:
+    style = src_Style.TEXT;
+  } else if (size === "script") {
+    style = src_Style.SCRIPT;
+  } else if (size === "scriptscript") {
+    style = src_Style.SCRIPTSCRIPT;
+  }
+
+  return style;
+};
+
+var genfrac_htmlBuilder = function htmlBuilder(group, options) {
+  // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
+  var style = genfrac_adjustStyle(group.size, options.style);
+  var nstyle = style.fracNum();
+  var dstyle = style.fracDen();
+  var newOptions;
+  newOptions = options.havingStyle(nstyle);
+  var numerm = buildHTML_buildGroup(group.numer, newOptions, options);
+
+  if (group.continued) {
+    // \cfrac inserts a \strut into the numerator.
+    // Get \strut dimensions from TeXbook page 353.
+    var hStrut = 8.5 / options.fontMetrics().ptPerEm;
+    var dStrut = 3.5 / options.fontMetrics().ptPerEm;
+    numerm.height = numerm.height < hStrut ? hStrut : numerm.height;
+    numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth;
+  }
+
+  newOptions = options.havingStyle(dstyle);
+  var denomm = buildHTML_buildGroup(group.denom, newOptions, options);
+  var rule;
+  var ruleWidth;
+  var ruleSpacing;
+
+  if (group.hasBarLine) {
+    if (group.barSize) {
+      ruleWidth = units_calculateSize(group.barSize, options);
+      rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth);
+    } else {
+      rule = buildCommon.makeLineSpan("frac-line", options);
+    }
+
+    ruleWidth = rule.height;
+    ruleSpacing = rule.height;
+  } else {
+    rule = null;
+    ruleWidth = 0;
+    ruleSpacing = options.fontMetrics().defaultRuleThickness;
+  } // Rule 15b
+
+
+  var numShift;
+  var clearance;
+  var denomShift;
+
+  if (style.size === src_Style.DISPLAY.size || group.size === "display") {
+    numShift = options.fontMetrics().num1;
+
+    if (ruleWidth > 0) {
+      clearance = 3 * ruleSpacing;
+    } else {
+      clearance = 7 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom1;
+  } else {
+    if (ruleWidth > 0) {
+      numShift = options.fontMetrics().num2;
+      clearance = ruleSpacing;
+    } else {
+      numShift = options.fontMetrics().num3;
+      clearance = 3 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom2;
+  }
+
+  var frac;
+
+  if (!rule) {
+    // Rule 15c
+    var candidateClearance = numShift - numerm.depth - (denomm.height - denomShift);
+
+    if (candidateClearance < clearance) {
+      numShift += 0.5 * (clearance - candidateClearance);
+      denomShift += 0.5 * (clearance - candidateClearance);
+    }
+
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } else {
+    // Rule 15d
+    var axisHeight = options.fontMetrics().axisHeight;
+
+    if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) {
+      numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth));
+    }
+
+    if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) {
+      denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift));
+    }
+
+    var midShift = -(axisHeight - 0.5 * ruleWidth);
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: rule,
+        shift: midShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } // Since we manually change the style sometimes (with \dfrac or \tfrac),
+  // account for the possible size change here.
+
+
+  newOptions = options.havingStyle(style);
+  frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier;
+  frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e
+
+  var delimSize;
+
+  if (style.size === src_Style.DISPLAY.size) {
+    delimSize = options.fontMetrics().delim1;
+  } else {
+    delimSize = options.fontMetrics().delim2;
+  }
+
+  var leftDelim;
+  var rightDelim;
+
+  if (group.leftDelim == null) {
+    leftDelim = makeNullDelimiter(options, ["mopen"]);
+  } else {
+    leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]);
+  }
+
+  if (group.continued) {
+    rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac
+  } else if (group.rightDelim == null) {
+    rightDelim = makeNullDelimiter(options, ["mclose"]);
+  } else {
+    rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]);
+  }
+
+  return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options);
+};
+
+var genfrac_mathmlBuilder = function mathmlBuilder(group, options) {
+  var node = new mathMLTree.MathNode("mfrac", [buildMathML_buildGroup(group.numer, options), buildMathML_buildGroup(group.denom, options)]);
+
+  if (!group.hasBarLine) {
+    node.setAttribute("linethickness", "0px");
+  } else if (group.barSize) {
+    var ruleWidth = units_calculateSize(group.barSize, options);
+    node.setAttribute("linethickness", ruleWidth + "em");
+  }
+
+  var style = genfrac_adjustStyle(group.size, options.style);
+
+  if (style.size !== options.style.size) {
+    node = new mathMLTree.MathNode("mstyle", [node]);
+    var isDisplay = style.size === src_Style.DISPLAY.size ? "true" : "false";
+    node.setAttribute("displaystyle", isDisplay);
+    node.setAttribute("scriptlevel", "0");
+  }
+
+  if (group.leftDelim != null || group.rightDelim != null) {
+    var withDelims = [];
+
+    if (group.leftDelim != null) {
+      var leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]);
+      leftOp.setAttribute("fence", "true");
+      withDelims.push(leftOp);
+    }
+
+    withDelims.push(node);
+
+    if (group.rightDelim != null) {
+      var rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]);
+      rightOp.setAttribute("fence", "true");
+      withDelims.push(rightOp);
+    }
+
+    return buildMathML_makeRow(withDelims);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\cfrac", "\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
+  "\\\\bracefrac", "\\\\brackfrac"],
+  props: {
+    numArgs: 2,
+    greediness: 2
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var numer = args[0];
+    var denom = args[1];
+    var hasBarLine;
+    var leftDelim = null;
+    var rightDelim = null;
+    var size = "auto";
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\frac":
+      case "\\tfrac":
+        hasBarLine = true;
+        break;
+
+      case "\\\\atopfrac":
+        hasBarLine = false;
+        break;
+
+      case "\\dbinom":
+      case "\\binom":
+      case "\\tbinom":
+        hasBarLine = false;
+        leftDelim = "(";
+        rightDelim = ")";
+        break;
+
+      case "\\\\bracefrac":
+        hasBarLine = false;
+        leftDelim = "\\{";
+        rightDelim = "\\}";
+        break;
+
+      case "\\\\brackfrac":
+        hasBarLine = false;
+        leftDelim = "[";
+        rightDelim = "]";
+        break;
+
+      default:
+        throw new Error("Unrecognized genfrac command");
+    }
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\dbinom":
+        size = "display";
+        break;
+
+      case "\\tfrac":
+      case "\\tbinom":
+        size = "text";
+        break;
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      continued: funcName === "\\cfrac",
+      numer: numer,
+      denom: denom,
+      hasBarLine: hasBarLine,
+      leftDelim: leftDelim,
+      rightDelim: rightDelim,
+      size: size,
+      barSize: null
+    };
+  },
+  htmlBuilder: genfrac_htmlBuilder,
+  mathmlBuilder: genfrac_mathmlBuilder
+}); // Infix generalized fractions -- these are not rendered directly, but replaced
+// immediately by one of the variants above.
+
+defineFunction({
+  type: "infix",
+  names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"],
+  props: {
+    numArgs: 0,
+    infix: true
+  },
+  handler: function handler(_ref2) {
+    var parser = _ref2.parser,
+        funcName = _ref2.funcName,
+        token = _ref2.token;
+    var replaceWith;
+
+    switch (funcName) {
+      case "\\over":
+        replaceWith = "\\frac";
+        break;
+
+      case "\\choose":
+        replaceWith = "\\binom";
+        break;
+
+      case "\\atop":
+        replaceWith = "\\\\atopfrac";
+        break;
+
+      case "\\brace":
+        replaceWith = "\\\\bracefrac";
+        break;
+
+      case "\\brack":
+        replaceWith = "\\\\brackfrac";
+        break;
+
+      default:
+        throw new Error("Unrecognized infix genfrac command");
+    }
+
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith: replaceWith,
+      token: token
+    };
+  }
+});
+var stylArray = ["display", "text", "script", "scriptscript"];
+
+var delimFromValue = function delimFromValue(delimString) {
+  var delim = null;
+
+  if (delimString.length > 0) {
+    delim = delimString;
+    delim = delim === "." ? null : delim;
+  }
+
+  return delim;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\genfrac"],
+  props: {
+    numArgs: 6,
+    greediness: 6,
+    argTypes: ["math", "math", "size", "text", "math", "math"]
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser;
+    var numer = args[4];
+    var denom = args[5]; // Look into the parse nodes to get the desired delimiters.
+
+    var leftNode = checkNodeType(args[0], "atom");
+
+    if (leftNode) {
+      leftNode = assertAtomFamily(args[0], "open");
+    }
+
+    var leftDelim = leftNode ? delimFromValue(leftNode.text) : null;
+    var rightNode = checkNodeType(args[1], "atom");
+
+    if (rightNode) {
+      rightNode = assertAtomFamily(args[1], "close");
+    }
+
+    var rightDelim = rightNode ? delimFromValue(rightNode.text) : null;
+    var barNode = assertNodeType(args[2], "size");
+    var hasBarLine;
+    var barSize = null;
+
+    if (barNode.isBlank) {
+      // \genfrac acts differently than \above.
+      // \genfrac treats an empty size group as a signal to use a
+      // standard bar size. \above would see size = 0 and omit the bar.
+      hasBarLine = true;
+    } else {
+      barSize = barNode.value;
+      hasBarLine = barSize.number > 0;
+    } // Find out if we want displaystyle, textstyle, etc.
+
+
+    var size = "auto";
+    var styl = checkNodeType(args[3], "ordgroup");
+
+    if (styl) {
+      if (styl.body.length > 0) {
+        var textOrd = assertNodeType(styl.body[0], "textord");
+        size = stylArray[Number(textOrd.text)];
+      }
+    } else {
+      styl = assertNodeType(args[3], "textord");
+      size = stylArray[Number(styl.text)];
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer: numer,
+      denom: denom,
+      continued: false,
+      hasBarLine: hasBarLine,
+      barSize: barSize,
+      leftDelim: leftDelim,
+      rightDelim: rightDelim,
+      size: size
+    };
+  },
+  htmlBuilder: genfrac_htmlBuilder,
+  mathmlBuilder: genfrac_mathmlBuilder
+}); // \above is an infix fraction that also defines a fraction bar size.
+
+defineFunction({
+  type: "infix",
+  names: ["\\above"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    infix: true
+  },
+  handler: function handler(_ref4, args) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName,
+        token = _ref4.token;
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith: "\\\\abovefrac",
+      size: assertNodeType(args[0], "size").value,
+      token: token
+    };
+  }
+});
+defineFunction({
+  type: "genfrac",
+  names: ["\\\\abovefrac"],
+  props: {
+    numArgs: 3,
+    argTypes: ["math", "size", "math"]
+  },
+  handler: function handler(_ref5, args) {
+    var parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    var numer = args[0];
+    var barSize = assert(assertNodeType(args[1], "infix").size);
+    var denom = args[2];
+    var hasBarLine = barSize.number > 0;
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer: numer,
+      denom: denom,
+      continued: false,
+      hasBarLine: hasBarLine,
+      barSize: barSize,
+      leftDelim: null,
+      rightDelim: null,
+      size: "auto"
+    };
+  },
+  htmlBuilder: genfrac_htmlBuilder,
+  mathmlBuilder: genfrac_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/horizBrace.js
+
+
+
+
+
+
+
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but
+var horizBrace_htmlBuilder = function htmlBuilder(grp, options) {
+  var style = options.style; // Pull out the `ParseNode<"horizBrace">` if `grp` is a "supsub" node.
+
+  var supSubGroup;
+  var group;
+  var supSub = checkNodeType(grp, "supsub");
+
+  if (supSub) {
+    // Ref: LaTeX source2e: }}}}\limits}
+    // i.e. LaTeX treats the brace similar to an op and passes it
+    // with \limits, so we need to assign supsub style.
+    supSubGroup = supSub.sup ? buildHTML_buildGroup(supSub.sup, options.havingStyle(style.sup()), options) : buildHTML_buildGroup(supSub.sub, options.havingStyle(style.sub()), options);
+    group = assertNodeType(supSub.base, "horizBrace");
+  } else {
+    group = assertNodeType(grp, "horizBrace");
+  } // Build the base group
+
+
+  var body = buildHTML_buildGroup(group.base, options.havingBaseStyle(src_Style.DISPLAY)); // Create the stretchy element
+
+  var braceBody = stretchy.svgSpan(group, options); // Generate the vlist, with the appropriate kerns        ┏━━━━━━━━┓
+  // This first vlist contains the content and the brace:   equation
+
+  var vlist;
+
+  if (group.isOver) {
+    vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: braceBody
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: body.depth + 0.1 + braceBody.height,
+      children: [{
+        type: "elem",
+        elem: braceBody
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: body
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[0].classes.push("svg-align");
+  }
+
+  if (supSubGroup) {
+    // To write the supsub, wrap the first vlist in another vlist:
+    // They can't all go in the same vlist, because the note might be
+    // wider than the equation. We want the equation to control the
+    // brace width.
+    //      note          long note           long note
+    //   ┏━━━━━━━━┓   or    ┏━━━┓     not    ┏━━━━━━━━━┓
+    //    equation           eqn                 eqn
+    var vSpan = buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+
+    if (group.isOver) {
+      vlist = buildCommon.makeVList({
+        positionType: "firstBaseline",
+        children: [{
+          type: "elem",
+          elem: vSpan
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: supSubGroup
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "bottom",
+        positionData: vSpan.depth + 0.2 + supSubGroup.height + supSubGroup.depth,
+        children: [{
+          type: "elem",
+          elem: supSubGroup
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: vSpan
+        }]
+      }, options);
+    }
+  }
+
+  return buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+};
+
+var horizBrace_mathmlBuilder = function mathmlBuilder(group, options) {
+  var accentNode = stretchy.mathMLnode(group.label);
+  return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildMathML_buildGroup(group.base, options), accentNode]);
+}; // Horizontal stretchy braces
+
+
+defineFunction({
+  type: "horizBrace",
+  names: ["\\overbrace", "\\underbrace"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "horizBrace",
+      mode: parser.mode,
+      label: funcName,
+      isOver: /^\\over/.test(funcName),
+      base: args[0]
+    };
+  },
+  htmlBuilder: horizBrace_htmlBuilder,
+  mathmlBuilder: horizBrace_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/href.js
+
+
+
+
+
+
+defineFunction({
+  type: "href",
+  names: ["\\href"],
+  props: {
+    numArgs: 2,
+    argTypes: ["url", "original"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var body = args[1];
+    var href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\href",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\href");
+    }
+
+    return {
+      type: "href",
+      mode: parser.mode,
+      href: href,
+      body: defineFunction_ordargument(body)
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.body, options, false);
+    return buildCommon.makeAnchor(group.href, [], elements, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var math = buildExpressionRow(group.body, options);
+
+    if (!(math instanceof mathMLTree_MathNode)) {
+      math = new mathMLTree_MathNode("mrow", [math]);
+    }
+
+    math.setAttribute("href", group.href);
+    return math;
+  }
+});
+defineFunction({
+  type: "href",
+  names: ["\\url"],
+  props: {
+    numArgs: 1,
+    argTypes: ["url"],
+    allowedInText: true
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\url",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\url");
+    }
+
+    var chars = [];
+
+    for (var i = 0; i < href.length; i++) {
+      var c = href[i];
+
+      if (c === "~") {
+        c = "\\textasciitilde";
+      }
+
+      chars.push({
+        type: "textord",
+        mode: "text",
+        text: c
+      });
+    }
+
+    var body = {
+      type: "text",
+      mode: parser.mode,
+      font: "\\texttt",
+      body: chars
+    };
+    return {
+      type: "href",
+      mode: parser.mode,
+      href: href,
+      body: defineFunction_ordargument(body)
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/functions/htmlmathml.js
+
+
+
+
+defineFunction({
+  type: "htmlmathml",
+  names: ["\\html@mathml"],
+  props: {
+    numArgs: 2,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    return {
+      type: "htmlmathml",
+      mode: parser.mode,
+      html: defineFunction_ordargument(args[0]),
+      mathml: defineFunction_ordargument(args[1])
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.html, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    return buildExpressionRow(group.mathml, options);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/includegraphics.js
+
+
+
+
+
+
+
+var includegraphics_sizeData = function sizeData(str) {
+  if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(str)) {
+    // str is a number with no unit specified.
+    // default unit is bp, per graphix package.
+    return {
+      number: +str,
+      unit: "bp"
+    };
+  } else {
+    var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(str);
+
+    if (!match) {
+      throw new src_ParseError("Invalid size: '" + str + "' in \\includegraphics");
+    }
+
+    var data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new src_ParseError("Invalid unit: '" + data.unit + "' in \\includegraphics.");
+    }
+
+    return data;
+  }
+};
+
+defineFunction({
+  type: "includegraphics",
+  names: ["\\includegraphics"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    argTypes: ["raw", "url"],
+    allowedInText: false
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var width = {
+      number: 0,
+      unit: "em"
+    };
+    var height = {
+      number: 0.9,
+      unit: "em"
+    }; // sorta character sized.
+
+    var totalheight = {
+      number: 0,
+      unit: "em"
+    };
+    var alt = "";
+
+    if (optArgs[0]) {
+      var attributeStr = assertNodeType(optArgs[0], "raw").string; // Parser.js does not parse key/value pairs. We get a string.
+
+      var attributes = attributeStr.split(",");
+
+      for (var i = 0; i < attributes.length; i++) {
+        var keyVal = attributes[i].split("=");
+
+        if (keyVal.length === 2) {
+          var str = keyVal[1].trim();
+
+          switch (keyVal[0].trim()) {
+            case "alt":
+              alt = str;
+              break;
+
+            case "width":
+              width = includegraphics_sizeData(str);
+              break;
+
+            case "height":
+              height = includegraphics_sizeData(str);
+              break;
+
+            case "totalheight":
+              totalheight = includegraphics_sizeData(str);
+              break;
+
+            default:
+              throw new src_ParseError("Invalid key: '" + keyVal[0] + "' in \\includegraphics.");
+          }
+        }
+      }
+    }
+
+    var src = assertNodeType(args[0], "url").url;
+
+    if (alt === "") {
+      // No alt given. Use the file name. Strip away the path.
+      alt = src;
+      alt = alt.replace(/^.*[\\/]/, '');
+      alt = alt.substring(0, alt.lastIndexOf('.'));
+    }
+
+    if (!parser.settings.isTrusted({
+      command: "\\includegraphics",
+      url: src
+    })) {
+      return parser.formatUnsupportedCmd("\\includegraphics");
+    }
+
+    return {
+      type: "includegraphics",
+      mode: parser.mode,
+      alt: alt,
+      width: width,
+      height: height,
+      totalheight: totalheight,
+      src: src
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var height = units_calculateSize(group.height, options);
+    var depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = units_calculateSize(group.totalheight, options) - height;
+      depth = Number(depth.toFixed(2));
+    }
+
+    var width = 0;
+
+    if (group.width.number > 0) {
+      width = units_calculateSize(group.width, options);
+    }
+
+    var style = {
+      height: height + depth + "em"
+    };
+
+    if (width > 0) {
+      style.width = width + "em";
+    }
+
+    if (depth > 0) {
+      style.verticalAlign = -depth + "em";
+    }
+
+    var node = new domTree_Img(group.src, group.alt, style);
+    node.height = height;
+    node.depth = depth;
+    return node;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mglyph", []);
+    node.setAttribute("alt", group.alt);
+    var height = units_calculateSize(group.height, options);
+    var depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = units_calculateSize(group.totalheight, options) - height;
+      depth = depth.toFixed(2);
+      node.setAttribute("valign", "-" + depth + "em");
+    }
+
+    node.setAttribute("height", height + depth + "em");
+
+    if (group.width.number > 0) {
+      var width = units_calculateSize(group.width, options);
+      node.setAttribute("width", width + "em");
+    }
+
+    node.setAttribute("src", group.src);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/kern.js
+// Horizontal spacing commands
+
+
+
+
+ // TODO: \hskip and \mskip should support plus and minus in lengths
+
+defineFunction({
+  type: "kern",
+  names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var size = assertNodeType(args[0], "size");
+
+    if (parser.settings.strict) {
+      var mathFunction = funcName[1] === 'm'; // \mkern, \mskip
+
+      var muUnit = size.value.unit === 'mu';
+
+      if (mathFunction) {
+        if (!muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " supports only mu units, " + ("not " + size.value.unit + " units"));
+        }
+
+        if (parser.mode !== "math") {
+          parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " works only in math mode");
+        }
+      } else {
+        // !mathFunction
+        if (muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " doesn't support mu units");
+        }
+      }
+    }
+
+    return {
+      type: "kern",
+      mode: parser.mode,
+      dimension: size.value
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.makeGlue(group.dimension, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var dimension = units_calculateSize(group.dimension, options);
+    return new mathMLTree.SpaceNode(dimension);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/lap.js
+// Horizontal overlap functions
+
+
+
+
+
+defineFunction({
+  type: "lap",
+  names: ["\\mathllap", "\\mathrlap", "\\mathclap"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "lap",
+      mode: parser.mode,
+      alignment: funcName.slice(5),
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // mathllap, mathrlap, mathclap
+    var inner;
+
+    if (group.alignment === "clap") {
+      // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/
+      inner = buildCommon.makeSpan([], [buildHTML_buildGroup(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span
+
+      inner = buildCommon.makeSpan(["inner"], [inner], options);
+    } else {
+      inner = buildCommon.makeSpan(["inner"], [buildHTML_buildGroup(group.body, options)]);
+    }
+
+    var fix = buildCommon.makeSpan(["fix"], []);
+    var node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the
+    // two items involved in the lap.
+    // Next, use a strut to set the height of the HTML bounding box.
+    // Otherwise, a tall argument may be misplaced.
+
+    var strut = buildCommon.makeSpan(["strut"]);
+    strut.style.height = node.height + node.depth + "em";
+    strut.style.verticalAlign = -node.depth + "em";
+    node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall.
+
+    node = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // Get the horizontal spacing correct relative to adjacent items.
+
+    return buildCommon.makeSpan(["mord"], [node], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // mathllap, mathrlap, mathclap
+    var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]);
+
+    if (group.alignment !== "rlap") {
+      var offset = group.alignment === "llap" ? "-1" : "-0.5";
+      node.setAttribute("lspace", offset + "width");
+    }
+
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/math.js
+
+ // Switching from text mode back to math mode
+
+defineFunction({
+  type: "styling",
+  names: ["\\(", "$"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: function handler(_ref, args) {
+    var funcName = _ref.funcName,
+        parser = _ref.parser;
+    var outerMode = parser.mode;
+    parser.switchMode("math");
+    var close = funcName === "\\(" ? "\\)" : "$";
+    var body = parser.parseExpression(false, close);
+    parser.expect(close);
+    parser.switchMode(outerMode);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      style: "text",
+      body: body
+    };
+  }
+}); // Check for extra closing math delimiters
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\)", "\\]"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: function handler(context, args) {
+    throw new src_ParseError("Mismatched " + context.funcName);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/mathchoice.js
+
+
+
+
+
+
+var mathchoice_chooseMathStyle = function chooseMathStyle(group, options) {
+  switch (options.style.size) {
+    case src_Style.DISPLAY.size:
+      return group.display;
+
+    case src_Style.TEXT.size:
+      return group.text;
+
+    case src_Style.SCRIPT.size:
+      return group.script;
+
+    case src_Style.SCRIPTSCRIPT.size:
+      return group.scriptscript;
+
+    default:
+      return group.text;
+  }
+};
+
+defineFunction({
+  type: "mathchoice",
+  names: ["\\mathchoice"],
+  props: {
+    numArgs: 4
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    return {
+      type: "mathchoice",
+      mode: parser.mode,
+      display: defineFunction_ordargument(args[0]),
+      text: defineFunction_ordargument(args[1]),
+      script: defineFunction_ordargument(args[2]),
+      scriptscript: defineFunction_ordargument(args[3])
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var body = mathchoice_chooseMathStyle(group, options);
+    var elements = buildHTML_buildExpression(body, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var body = mathchoice_chooseMathStyle(group, options);
+    return buildExpressionRow(body, options);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/utils/assembleSupSub.js
+
+
+// For an operator with limits, assemble the base, sup, and sub into a span.
+var assembleSupSub_assembleSupSub = function assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift) {
+  // IE 8 clips \int if it is in a display: inline-block. We wrap it
+  // in a new span so it is an inline, and works.
+  base = buildCommon.makeSpan([], [base]);
+  var sub;
+  var sup; // We manually have to handle the superscripts and subscripts. This,
+  // aside from the kern calculations, is copied from supsub.
+
+  if (supGroup) {
+    var elem = buildHTML_buildGroup(supGroup, options.havingStyle(style.sup()), options);
+    sup = {
+      elem: elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth)
+    };
+  }
+
+  if (subGroup) {
+    var _elem = buildHTML_buildGroup(subGroup, options.havingStyle(style.sub()), options);
+
+    sub = {
+      elem: _elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing2, options.fontMetrics().bigOpSpacing4 - _elem.height)
+    };
+  } // Build the final group as a vlist of the possible subscript, base,
+  // and possible superscript.
+
+
+  var finalGroup;
+
+  if (sup && sub) {
+    var bottom = options.fontMetrics().bigOpSpacing5 + sub.elem.height + sub.elem.depth + sub.kern + base.depth + baseShift;
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: bottom,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else if (sub) {
+    var top = base.height - baseShift; // Shift the limits by the slant of the symbol. Note
+    // that we are supposed to shift the limits by 1/2 of the slant,
+    // but since we are centering the limits adding a full slant of
+    // margin will shift by 1/2 that.
+
+    finalGroup = buildCommon.makeVList({
+      positionType: "top",
+      positionData: top,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }]
+    }, options);
+  } else if (sup) {
+    var _bottom = base.depth + baseShift;
+
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: _bottom,
+      children: [{
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else {
+    // This case probably shouldn't occur (this would mean the
+    // supsub was sending us a group with no superscript or
+    // subscript) but be safe.
+    return base;
+  }
+
+  return buildCommon.makeSpan(["mop", "op-limits"], [finalGroup], options);
+};
+// CONCATENATED MODULE: ./src/functions/op.js
+// Limits, symbols
+
+
+
+
+
+
+
+
+
+
+// Most operators have a large successor symbol, but these don't.
+var noSuccessor = ["\\smallint"]; // NOTE: Unlike most `htmlBuilder`s, this one handles not only "op", but also
+// "supsub" since some of them (like \int) can affect super/subscripting.
+
+var op_htmlBuilder = function htmlBuilder(grp, options) {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  var supGroup;
+  var subGroup;
+  var hasLimits = false;
+  var group;
+  var supSub = checkNodeType(grp, "supsub");
+
+  if (supSub) {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = supSub.sup;
+    subGroup = supSub.sub;
+    group = assertNodeType(supSub.base, "op");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "op");
+  }
+
+  var style = options.style;
+  var large = false;
+
+  if (style.size === src_Style.DISPLAY.size && group.symbol && !utils.contains(noSuccessor, group.name)) {
+    // Most symbol operators get larger in displaystyle (rule 13)
+    large = true;
+  }
+
+  var base;
+
+  if (group.symbol) {
+    // If this is a symbol, create the symbol.
+    var fontName = large ? "Size2-Regular" : "Size1-Regular";
+    var stash = "";
+
+    if (group.name === "\\oiint" || group.name === "\\oiiint") {
+      // No font glyphs yet, so use a glyph w/o the oval.
+      // TODO: When font glyphs are available, delete this code.
+      stash = group.name.substr(1); // $FlowFixMe
+
+      group.name = stash === "oiint" ? "\\iint" : "\\iiint";
+    }
+
+    base = buildCommon.makeSymbol(group.name, fontName, "math", options, ["mop", "op-symbol", large ? "large-op" : "small-op"]);
+
+    if (stash.length > 0) {
+      // We're in \oiint or \oiiint. Overlay the oval.
+      // TODO: When font glyphs are available, delete this code.
+      var italic = base.italic;
+      var oval = buildCommon.staticSvg(stash + "Size" + (large ? "2" : "1"), options);
+      base = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: base,
+          shift: 0
+        }, {
+          type: "elem",
+          elem: oval,
+          shift: large ? 0.08 : 0
+        }]
+      }, options); // $FlowFixMe
+
+      group.name = "\\" + stash;
+      base.classes.unshift("mop"); // $FlowFixMe
+
+      base.italic = italic;
+    }
+  } else if (group.body) {
+    // If this is a list, compose that list.
+    var inner = buildHTML_buildExpression(group.body, options, true);
+
+    if (inner.length === 1 && inner[0] instanceof domTree_SymbolNode) {
+      base = inner[0];
+      base.classes[0] = "mop"; // replace old mclass
+    } else {
+      base = buildCommon.makeSpan(["mop"], buildCommon.tryCombineChars(inner), options);
+    }
+  } else {
+    // Otherwise, this is a text operator. Build the text from the
+    // operator's name.
+    // TODO(emily): Add a space in the middle of some of these
+    // operators, like \limsup
+    var output = [];
+
+    for (var i = 1; i < group.name.length; i++) {
+      output.push(buildCommon.mathsym(group.name[i], group.mode, options));
+    }
+
+    base = buildCommon.makeSpan(["mop"], output, options);
+  } // If content of op is a single symbol, shift it vertically.
+
+
+  var baseShift = 0;
+  var slant = 0;
+
+  if ((base instanceof domTree_SymbolNode || group.name === "\\oiint" || group.name === "\\oiiint") && !group.suppressBaseShift) {
+    // We suppress the shift of the base of \overset and \underset. Otherwise,
+    // shift the symbol so its center lies on the axis (rule 13). It
+    // appears that our fonts have the centers of the symbols already
+    // almost on the axis, so these numbers are very small. Note we
+    // don't actually apply this here, but instead it is used either in
+    // the vlist creation or separately when there are no limits.
+    baseShift = (base.height - base.depth) / 2 - options.fontMetrics().axisHeight; // The slant of the symbol is just its italic correction.
+    // $FlowFixMe
+
+    slant = base.italic;
+  }
+
+  if (hasLimits) {
+    return assembleSupSub_assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift);
+  } else {
+    if (baseShift) {
+      base.style.position = "relative";
+      base.style.top = baseShift + "em";
+    }
+
+    return base;
+  }
+};
+
+var op_mathmlBuilder = function mathmlBuilder(group, options) {
+  var node;
+
+  if (group.symbol) {
+    // This is a symbol. Just add the symbol.
+    node = new mathMLTree_MathNode("mo", [buildMathML_makeText(group.name, group.mode)]);
+
+    if (utils.contains(noSuccessor, group.name)) {
+      node.setAttribute("largeop", "false");
+    }
+  } else if (group.body) {
+    // This is an operator with children. Add them.
+    node = new mathMLTree_MathNode("mo", buildMathML_buildExpression(group.body, options));
+  } else {
+    // This is a text operator. Add all of the characters from the
+    // operator's name.
+    node = new mathMLTree_MathNode("mi", [new mathMLTree_TextNode(group.name.slice(1))]); // Append an <mo>&ApplyFunction;</mo>.
+    // ref: https://www.w3.org/TR/REC-MathML/chap3_2.html#sec3.2.4
+
+    var operator = new mathMLTree_MathNode("mo", [buildMathML_makeText("\u2061", "text")]);
+
+    if (group.parentIsSupSub) {
+      node = new mathMLTree_MathNode("mo", [node, operator]);
+    } else {
+      node = newDocumentFragment([node, operator]);
+    }
+  }
+
+  return node;
+};
+
+var singleCharBigOps = {
+  "\u220F": "\\prod",
+  "\u2210": "\\coprod",
+  "\u2211": "\\sum",
+  "\u22C0": "\\bigwedge",
+  "\u22C1": "\\bigvee",
+  "\u22C2": "\\bigcap",
+  "\u22C3": "\\bigcup",
+  "\u2A00": "\\bigodot",
+  "\u2A01": "\\bigoplus",
+  "\u2A02": "\\bigotimes",
+  "\u2A04": "\\biguplus",
+  "\u2A06": "\\bigsqcup"
+};
+defineFunction({
+  type: "op",
+  names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "\u220F", "\u2210", "\u2211", "\u22C0", "\u22C1", "\u22C2", "\u22C3", "\u2A00", "\u2A01", "\u2A02", "\u2A04", "\u2A06"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharBigOps[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // Note: calling defineFunction with a type that's already been defined only
+// works because the same htmlBuilder and mathmlBuilder are being used.
+
+defineFunction({
+  type: "op",
+  names: ["\\mathop"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var body = args[0];
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      body: defineFunction_ordargument(body)
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // There are 2 flags for operators; whether they produce limits in
+// displaystyle, and whether they are symbols and should grow in
+// displaystyle. These four groups cover the four possible choices.
+
+var singleCharIntegrals = {
+  "\u222B": "\\int",
+  "\u222C": "\\iint",
+  "\u222D": "\\iiint",
+  "\u222E": "\\oint",
+  "\u222F": "\\oiint",
+  "\u2230": "\\oiiint"
+}; // No limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg", "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg", "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp", "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref3) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // Limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref4) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // No limits, symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222B", "\u222C", "\u222D", "\u222E", "\u222F", "\u2230"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref5) {
+    var parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    var fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharIntegrals[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/operatorname.js
+
+
+
+
+
+
+
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only
+// "operatorname", but also  "supsub" since \operatorname* can
+var operatorname_htmlBuilder = function htmlBuilder(grp, options) {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  var supGroup;
+  var subGroup;
+  var hasLimits = false;
+  var group;
+  var supSub = checkNodeType(grp, "supsub");
+
+  if (supSub) {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = supSub.sup;
+    subGroup = supSub.sub;
+    group = assertNodeType(supSub.base, "operatorname");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "operatorname");
+  }
+
+  var base;
+
+  if (group.body.length > 0) {
+    var body = group.body.map(function (child) {
+      // $FlowFixMe: Check if the node has a string `text` property.
+      var childText = child.text;
+
+      if (typeof childText === "string") {
+        return {
+          type: "textord",
+          mode: child.mode,
+          text: childText
+        };
+      } else {
+        return child;
+      }
+    }); // Consolidate function names into symbol characters.
+
+    var expression = buildHTML_buildExpression(body, options.withFont("mathrm"), true);
+
+    for (var i = 0; i < expression.length; i++) {
+      var child = expression[i];
+
+      if (child instanceof domTree_SymbolNode) {
+        // Per amsopn package,
+        // change minus to hyphen and \ast to asterisk
+        child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+      }
+    }
+
+    base = buildCommon.makeSpan(["mop"], expression, options);
+  } else {
+    base = buildCommon.makeSpan(["mop"], [], options);
+  }
+
+  if (hasLimits) {
+    return assembleSupSub_assembleSupSub(base, supGroup, subGroup, options, options.style, 0, 0);
+  } else {
+    return base;
+  }
+};
+
+var operatorname_mathmlBuilder = function mathmlBuilder(group, options) {
+  // The steps taken here are similar to the html version.
+  var expression = buildMathML_buildExpression(group.body, options.withFont("mathrm")); // Is expression a string or has it something like a fraction?
+
+  var isAllString = true; // default
+
+  for (var i = 0; i < expression.length; i++) {
+    var node = expression[i];
+
+    if (node instanceof mathMLTree.SpaceNode) {// Do nothing
+    } else if (node instanceof mathMLTree.MathNode) {
+      switch (node.type) {
+        case "mi":
+        case "mn":
+        case "ms":
+        case "mspace":
+        case "mtext":
+          break;
+        // Do nothing yet.
+
+        case "mo":
+          {
+            var child = node.children[0];
+
+            if (node.children.length === 1 && child instanceof mathMLTree.TextNode) {
+              child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+            } else {
+              isAllString = false;
+            }
+
+            break;
+          }
+
+        default:
+          isAllString = false;
+      }
+    } else {
+      isAllString = false;
+    }
+  }
+
+  if (isAllString) {
+    // Write a single TextNode instead of multiple nested tags.
+    var word = expression.map(function (node) {
+      return node.toText();
+    }).join("");
+    expression = [new mathMLTree.TextNode(word)];
+  }
+
+  var identifier = new mathMLTree.MathNode("mi", expression);
+  identifier.setAttribute("mathvariant", "normal"); // \u2061 is the same as &ApplyFunction;
+  // ref: https://www.w3schools.com/charsets/ref_html_entities_a.asp
+
+  var operator = new mathMLTree.MathNode("mo", [buildMathML_makeText("\u2061", "text")]);
+
+  if (group.parentIsSupSub) {
+    return new mathMLTree.MathNode("mo", [identifier, operator]);
+  } else {
+    return mathMLTree.newDocumentFragment([identifier, operator]);
+  }
+}; // \operatorname
+// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@
+
+
+defineFunction({
+  type: "operatorname",
+  names: ["\\operatorname", "\\operatorname*"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "operatorname",
+      mode: parser.mode,
+      body: defineFunction_ordargument(body),
+      alwaysHandleSupSub: funcName === "\\operatorname*",
+      limits: false,
+      parentIsSupSub: false
+    };
+  },
+  htmlBuilder: operatorname_htmlBuilder,
+  mathmlBuilder: operatorname_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/ordgroup.js
+
+
+
+
+defineFunctionBuilders({
+  type: "ordgroup",
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (group.semisimple) {
+      return buildCommon.makeFragment(buildHTML_buildExpression(group.body, options, false));
+    }
+
+    return buildCommon.makeSpan(["mord"], buildHTML_buildExpression(group.body, options, true), options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    return buildExpressionRow(group.body, options, true);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/overline.js
+
+
+
+
+
+defineFunction({
+  type: "overline",
+  names: ["\\overline"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var body = args[0];
+    return {
+      type: "overline",
+      mode: parser.mode,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Overlines are handled in the TeXbook pg 443, Rule 9.
+    // Build the inner group in the cramped style.
+    var innerGroup = buildHTML_buildGroup(group.body, options.havingCrampedStyle()); // Create the line above the body
+
+    var line = buildCommon.makeLineSpan("overline-line", options); // Generate the vlist, with the appropriate kerns
+
+    var defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    var vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: innerGroup
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: defaultRuleThickness
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "overline"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203E")]);
+    operator.setAttribute("stretchy", "true");
+    var node = new mathMLTree.MathNode("mover", [buildMathML_buildGroup(group.body, options), operator]);
+    node.setAttribute("accent", "true");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/phantom.js
+
+
+
+
+
+defineFunction({
+  type: "phantom",
+  names: ["\\phantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var body = args[0];
+    return {
+      type: "phantom",
+      mode: parser.mode,
+      body: defineFunction_ordargument(body)
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.body, options.withPhantom(), false); // \phantom isn't supposed to affect the elements it contains.
+    // See "color" for more details.
+
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var inner = buildMathML_buildExpression(group.body, options);
+    return new mathMLTree.MathNode("mphantom", inner);
+  }
+});
+defineFunction({
+  type: "hphantom",
+  names: ["\\hphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var body = args[0];
+    return {
+      type: "hphantom",
+      mode: parser.mode,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var node = buildCommon.makeSpan([], [buildHTML_buildGroup(group.body, options.withPhantom())]);
+    node.height = 0;
+    node.depth = 0;
+
+    if (node.children) {
+      for (var i = 0; i < node.children.length; i++) {
+        node.children[i].height = 0;
+        node.children[i].depth = 0;
+      }
+    } // See smash for comment re: use of makeVList
+
+
+    node = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \smash as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [node], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var inner = buildMathML_buildExpression(defineFunction_ordargument(group.body), options);
+    var phantom = new mathMLTree.MathNode("mphantom", inner);
+    var node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("height", "0px");
+    node.setAttribute("depth", "0px");
+    return node;
+  }
+});
+defineFunction({
+  type: "vphantom",
+  names: ["\\vphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser;
+    var body = args[0];
+    return {
+      type: "vphantom",
+      mode: parser.mode,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var inner = buildCommon.makeSpan(["inner"], [buildHTML_buildGroup(group.body, options.withPhantom())]);
+    var fix = buildCommon.makeSpan(["fix"], []);
+    return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var inner = buildMathML_buildExpression(defineFunction_ordargument(group.body), options);
+    var phantom = new mathMLTree.MathNode("mphantom", inner);
+    var node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/raisebox.js
+
+
+
+
+
+
+ // Box manipulation
+
+defineFunction({
+  type: "raisebox",
+  names: ["\\raisebox"],
+  props: {
+    numArgs: 2,
+    argTypes: ["size", "hbox"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var amount = assertNodeType(args[0], "size").value;
+    var body = args[1];
+    return {
+      type: "raisebox",
+      mode: parser.mode,
+      dy: amount,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var body = buildHTML_buildGroup(group.body, options);
+    var dy = units_calculateSize(group.dy, options);
+    return buildCommon.makeVList({
+      positionType: "shift",
+      positionData: -dy,
+      children: [{
+        type: "elem",
+        elem: body
+      }]
+    }, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]);
+    var dy = group.dy.number + group.dy.unit;
+    node.setAttribute("voffset", dy);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/rule.js
+
+
+
+
+
+defineFunction({
+  type: "rule",
+  names: ["\\rule"],
+  props: {
+    numArgs: 2,
+    numOptionalArgs: 1,
+    argTypes: ["size", "size", "size"]
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var shift = optArgs[0];
+    var width = assertNodeType(args[0], "size");
+    var height = assertNodeType(args[1], "size");
+    return {
+      type: "rule",
+      mode: parser.mode,
+      shift: shift && assertNodeType(shift, "size").value,
+      width: width.value,
+      height: height.value
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Make an empty span for the rule
+    var rule = buildCommon.makeSpan(["mord", "rule"], [], options); // Calculate the shift, width, and height of the rule, and account for units
+
+    var width = units_calculateSize(group.width, options);
+    var height = units_calculateSize(group.height, options);
+    var shift = group.shift ? units_calculateSize(group.shift, options) : 0; // Style the rule to the right size
+
+    rule.style.borderRightWidth = width + "em";
+    rule.style.borderTopWidth = height + "em";
+    rule.style.bottom = shift + "em"; // Record the height and width
+
+    rule.width = width;
+    rule.height = height + shift;
+    rule.depth = -shift; // Font size is the number large enough that the browser will
+    // reserve at least `absHeight` space above the baseline.
+    // The 1.125 factor was empirically determined
+
+    rule.maxFontSize = height * 1.125 * options.sizeMultiplier;
+    return rule;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var width = units_calculateSize(group.width, options);
+    var height = units_calculateSize(group.height, options);
+    var shift = group.shift ? units_calculateSize(group.shift, options) : 0;
+    var color = options.color && options.getColor() || "black";
+    var rule = new mathMLTree.MathNode("mspace");
+    rule.setAttribute("mathbackground", color);
+    rule.setAttribute("width", width + "em");
+    rule.setAttribute("height", height + "em");
+    var wrapper = new mathMLTree.MathNode("mpadded", [rule]);
+
+    if (shift >= 0) {
+      wrapper.setAttribute("height", "+" + shift + "em");
+    } else {
+      wrapper.setAttribute("height", shift + "em");
+      wrapper.setAttribute("depth", "+" + -shift + "em");
+    }
+
+    wrapper.setAttribute("voffset", shift + "em");
+    return wrapper;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/sizing.js
+
+
+
+
+
+function sizingGroup(value, options, baseOptions) {
+  var inner = buildHTML_buildExpression(value, options, false);
+  var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; // Add size-resetting classes to the inner list and set maxFontSize
+  // manually. Handle nested size changes.
+
+  for (var i = 0; i < inner.length; i++) {
+    var pos = inner[i].classes.indexOf("sizing");
+
+    if (pos < 0) {
+      Array.prototype.push.apply(inner[i].classes, options.sizingClasses(baseOptions));
+    } else if (inner[i].classes[pos + 1] === "reset-size" + options.size) {
+      // This is a nested size change: e.g., inner[i] is the "b" in
+      // `\Huge a \small b`. Override the old size (the `reset-` class)
+      // but not the new size.
+      inner[i].classes[pos + 1] = "reset-size" + baseOptions.size;
+    }
+
+    inner[i].height *= multiplier;
+    inner[i].depth *= multiplier;
+  }
+
+  return buildCommon.makeFragment(inner);
+}
+var sizeFuncs = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"];
+var sizing_htmlBuilder = function htmlBuilder(group, options) {
+  // Handle sizing operators like \Huge. Real TeX doesn't actually allow
+  // these functions inside of math expressions, so we do some special
+  // handling.
+  var newOptions = options.havingSize(group.size);
+  return sizingGroup(group.body, newOptions, options);
+};
+defineFunction({
+  type: "sizing",
+  names: sizeFuncs,
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    var body = parser.parseExpression(false, breakOnTokenText);
+    return {
+      type: "sizing",
+      mode: parser.mode,
+      // Figure out what size to use based on the list of functions above
+      size: sizeFuncs.indexOf(funcName) + 1,
+      body: body
+    };
+  },
+  htmlBuilder: sizing_htmlBuilder,
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var newOptions = options.havingSize(group.size);
+    var inner = buildMathML_buildExpression(group.body, newOptions);
+    var node = new mathMLTree.MathNode("mstyle", inner); // TODO(emily): This doesn't produce the correct size for nested size
+    // changes, because we don't keep state of what style we're currently
+    // in, so we can't reset the size to normal before changing it.  Now
+    // that we're passing an options parameter we should be able to fix
+    // this.
+
+    node.setAttribute("mathsize", newOptions.sizeMultiplier + "em");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/smash.js
+// smash, with optional [tb], as in AMS
+
+
+
+
+
+
+defineFunction({
+  type: "smash",
+  names: ["\\smash"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var smashHeight = false;
+    var smashDepth = false;
+    var tbArg = optArgs[0] && assertNodeType(optArgs[0], "ordgroup");
+
+    if (tbArg) {
+      // Optional [tb] argument is engaged.
+      // ref: amsmath: \renewcommand{\smash}[1][tb]{%
+      //               def\mb@t{\ht}\def\mb@b{\dp}\def\mb@tb{\ht\z@\z@\dp}%
+      var letter = "";
+
+      for (var i = 0; i < tbArg.body.length; ++i) {
+        var node = tbArg.body[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+        letter = node.text;
+
+        if (letter === "t") {
+          smashHeight = true;
+        } else if (letter === "b") {
+          smashDepth = true;
+        } else {
+          smashHeight = false;
+          smashDepth = false;
+          break;
+        }
+      }
+    } else {
+      smashHeight = true;
+      smashDepth = true;
+    }
+
+    var body = args[0];
+    return {
+      type: "smash",
+      mode: parser.mode,
+      body: body,
+      smashHeight: smashHeight,
+      smashDepth: smashDepth
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var node = buildCommon.makeSpan([], [buildHTML_buildGroup(group.body, options)]);
+
+    if (!group.smashHeight && !group.smashDepth) {
+      return node;
+    }
+
+    if (group.smashHeight) {
+      node.height = 0; // In order to influence makeVList, we have to reset the children.
+
+      if (node.children) {
+        for (var i = 0; i < node.children.length; i++) {
+          node.children[i].height = 0;
+        }
+      }
+    }
+
+    if (group.smashDepth) {
+      node.depth = 0;
+
+      if (node.children) {
+        for (var _i = 0; _i < node.children.length; _i++) {
+          node.children[_i].depth = 0;
+        }
+      }
+    } // At this point, we've reset the TeX-like height and depth values.
+    // But the span still has an HTML line height.
+    // makeVList applies "display: table-cell", which prevents the browser
+    // from acting on that line height. So we'll call makeVList now.
+
+
+    var smashedNode = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \hphantom as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [smashedNode], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]);
+
+    if (group.smashHeight) {
+      node.setAttribute("height", "0px");
+    }
+
+    if (group.smashDepth) {
+      node.setAttribute("depth", "0px");
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/sqrt.js
+
+
+
+
+
+
+
+defineFunction({
+  type: "sqrt",
+  names: ["\\sqrt"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var index = optArgs[0];
+    var body = args[0];
+    return {
+      type: "sqrt",
+      mode: parser.mode,
+      body: body,
+      index: index
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Square roots are handled in the TeXbook pg. 443, Rule 11.
+    // First, we do the same steps as in overline to build the inner group
+    // and line
+    var inner = buildHTML_buildGroup(group.body, options.havingCrampedStyle());
+
+    if (inner.height === 0) {
+      // Render a small surd.
+      inner.height = options.fontMetrics().xHeight;
+    } // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+
+    inner = buildCommon.wrapFragment(inner, options); // Calculate the minimum size for the \surd delimiter
+
+    var metrics = options.fontMetrics();
+    var theta = metrics.defaultRuleThickness;
+    var phi = theta;
+
+    if (options.style.id < src_Style.TEXT.id) {
+      phi = options.fontMetrics().xHeight;
+    } // Calculate the clearance between the body and line
+
+
+    var lineClearance = theta + phi / 4;
+    var minDelimiterHeight = inner.height + inner.depth + lineClearance + theta; // Create a sqrt SVG of the required minimum size
+
+    var _delimiter$sqrtImage = delimiter.sqrtImage(minDelimiterHeight, options),
+        img = _delimiter$sqrtImage.span,
+        ruleWidth = _delimiter$sqrtImage.ruleWidth,
+        advanceWidth = _delimiter$sqrtImage.advanceWidth;
+
+    var delimDepth = img.height - ruleWidth; // Adjust the clearance based on the delimiter size
+
+    if (delimDepth > inner.height + inner.depth + lineClearance) {
+      lineClearance = (lineClearance + delimDepth - inner.height - inner.depth) / 2;
+    } // Shift the sqrt image
+
+
+    var imgShift = img.height - inner.height - lineClearance - ruleWidth;
+    inner.style.paddingLeft = advanceWidth + "em"; // Overlay the image and the argument.
+
+    var body = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: inner,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: -(inner.height + imgShift)
+      }, {
+        type: "elem",
+        elem: img
+      }, {
+        type: "kern",
+        size: ruleWidth
+      }]
+    }, options);
+
+    if (!group.index) {
+      return buildCommon.makeSpan(["mord", "sqrt"], [body], options);
+    } else {
+      // Handle the optional root index
+      // The index is always in scriptscript style
+      var newOptions = options.havingStyle(src_Style.SCRIPTSCRIPT);
+      var rootm = buildHTML_buildGroup(group.index, newOptions, options); // The amount the index is shifted by. This is taken from the TeX
+      // source, in the definition of `\r@@t`.
+
+      var toShift = 0.6 * (body.height - body.depth); // Build a VList with the superscript shifted up correctly
+
+      var rootVList = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -toShift,
+        children: [{
+          type: "elem",
+          elem: rootm
+        }]
+      }, options); // Add a class surrounding it so we can add on the appropriate
+      // kerning
+
+      var rootVListWrap = buildCommon.makeSpan(["root"], [rootVList]);
+      return buildCommon.makeSpan(["mord", "sqrt"], [rootVListWrap, body], options);
+    }
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var body = group.body,
+        index = group.index;
+    return index ? new mathMLTree.MathNode("mroot", [buildMathML_buildGroup(body, options), buildMathML_buildGroup(index, options)]) : new mathMLTree.MathNode("msqrt", [buildMathML_buildGroup(body, options)]);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/styling.js
+
+
+
+
+
+var styling_styleMap = {
+  "display": src_Style.DISPLAY,
+  "text": src_Style.TEXT,
+  "script": src_Style.SCRIPT,
+  "scriptscript": src_Style.SCRIPTSCRIPT
+};
+defineFunction({
+  type: "styling",
+  names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    // parse out the implicit body
+    var body = parser.parseExpression(true, breakOnTokenText); // TODO: Refactor to avoid duplicating styleMap in multiple places (e.g.
+    // here and in buildHTML and de-dupe the enumeration of all the styles).
+    // $FlowFixMe: The names above exactly match the styles.
+
+    var style = funcName.slice(1, funcName.length - 5);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      // Figure out what style to use by pulling out the style from
+      // the function name
+      style: style,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Style changes are handled in the TeXbook on pg. 442, Rule 3.
+    var newStyle = styling_styleMap[group.style];
+    var newOptions = options.havingStyle(newStyle).withFont('');
+    return sizingGroup(group.body, newOptions, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // Figure out what style we're changing to.
+    var newStyle = styling_styleMap[group.style];
+    var newOptions = options.havingStyle(newStyle);
+    var inner = buildMathML_buildExpression(group.body, newOptions);
+    var node = new mathMLTree.MathNode("mstyle", inner);
+    var styleAttributes = {
+      "display": ["0", "true"],
+      "text": ["0", "false"],
+      "script": ["1", "false"],
+      "scriptscript": ["2", "false"]
+    };
+    var attr = styleAttributes[group.style];
+    node.setAttribute("scriptlevel", attr[0]);
+    node.setAttribute("displaystyle", attr[1]);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/supsub.js
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+/**
+ * Sometimes, groups perform special rules when they have superscripts or
+ * subscripts attached to them. This function lets the `supsub` group know that
+ * Sometimes, groups perform special rules when they have superscripts or
+ * its inner element should handle the superscripts and subscripts instead of
+ * handling them itself.
+ */
+var supsub_htmlBuilderDelegate = function htmlBuilderDelegate(group, options) {
+  var base = group.base;
+
+  if (!base) {
+    return null;
+  } else if (base.type === "op") {
+    // Operators handle supsubs differently when they have limits
+    // (e.g. `\displaystyle\sum_2^3`)
+    var delegate = base.limits && (options.style.size === src_Style.DISPLAY.size || base.alwaysHandleSupSub);
+    return delegate ? op_htmlBuilder : null;
+  } else if (base.type === "operatorname") {
+    var _delegate = base.alwaysHandleSupSub && (options.style.size === src_Style.DISPLAY.size || base.limits);
+
+    return _delegate ? operatorname_htmlBuilder : null;
+  } else if (base.type === "accent") {
+    return utils.isCharacterBox(base.base) ? accent_htmlBuilder : null;
+  } else if (base.type === "horizBrace") {
+    var isSup = !group.sub;
+    return isSup === base.isOver ? horizBrace_htmlBuilder : null;
+  } else {
+    return null;
+  }
+}; // Super scripts and subscripts, whose precise placement can depend on other
+// functions that precede them.
+
+
+defineFunctionBuilders({
+  type: "supsub",
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Superscript and subscripts are handled in the TeXbook on page
+    // 445-446, rules 18(a-f).
+    // Here is where we defer to the inner group if it should handle
+    // superscripts and subscripts itself.
+    var builderDelegate = supsub_htmlBuilderDelegate(group, options);
+
+    if (builderDelegate) {
+      return builderDelegate(group, options);
+    }
+
+    var valueBase = group.base,
+        valueSup = group.sup,
+        valueSub = group.sub;
+    var base = buildHTML_buildGroup(valueBase, options);
+    var supm;
+    var subm;
+    var metrics = options.fontMetrics(); // Rule 18a
+
+    var supShift = 0;
+    var subShift = 0;
+    var isCharacterBox = valueBase && utils.isCharacterBox(valueBase);
+
+    if (valueSup) {
+      var newOptions = options.havingStyle(options.style.sup());
+      supm = buildHTML_buildGroup(valueSup, newOptions, options);
+
+      if (!isCharacterBox) {
+        supShift = base.height - newOptions.fontMetrics().supDrop * newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    }
+
+    if (valueSub) {
+      var _newOptions = options.havingStyle(options.style.sub());
+
+      subm = buildHTML_buildGroup(valueSub, _newOptions, options);
+
+      if (!isCharacterBox) {
+        subShift = base.depth + _newOptions.fontMetrics().subDrop * _newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    } // Rule 18c
+
+
+    var minSupShift;
+
+    if (options.style === src_Style.DISPLAY) {
+      minSupShift = metrics.sup1;
+    } else if (options.style.cramped) {
+      minSupShift = metrics.sup3;
+    } else {
+      minSupShift = metrics.sup2;
+    } // scriptspace is a font-size-independent size, so scale it
+    // appropriately for use as the marginRight.
+
+
+    var multiplier = options.sizeMultiplier;
+    var marginRight = 0.5 / metrics.ptPerEm / multiplier + "em";
+    var marginLeft = null;
+
+    if (subm) {
+      // Subscripts shouldn't be shifted by the base's italic correction.
+      // Account for that by shifting the subscript back the appropriate
+      // amount. Note we only do this when the base is a single symbol.
+      var isOiint = group.base && group.base.type === "op" && group.base.name && (group.base.name === "\\oiint" || group.base.name === "\\oiiint");
+
+      if (base instanceof domTree_SymbolNode || isOiint) {
+        // $FlowFixMe
+        marginLeft = -base.italic + "em";
+      }
+    }
+
+    var supsub;
+
+    if (supm && subm) {
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      subShift = Math.max(subShift, metrics.sub2);
+      var ruleWidth = metrics.defaultRuleThickness; // Rule 18e
+
+      var maxWidth = 4 * ruleWidth;
+
+      if (supShift - supm.depth - (subm.height - subShift) < maxWidth) {
+        subShift = maxWidth - (supShift - supm.depth) + subm.height;
+        var psi = 0.8 * metrics.xHeight - (supShift - supm.depth);
+
+        if (psi > 0) {
+          supShift += psi;
+          subShift -= psi;
+        }
+      }
+
+      var vlistElem = [{
+        type: "elem",
+        elem: subm,
+        shift: subShift,
+        marginRight: marginRight,
+        marginLeft: marginLeft
+      }, {
+        type: "elem",
+        elem: supm,
+        shift: -supShift,
+        marginRight: marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: vlistElem
+      }, options);
+    } else if (subm) {
+      // Rule 18b
+      subShift = Math.max(subShift, metrics.sub1, subm.height - 0.8 * metrics.xHeight);
+      var _vlistElem = [{
+        type: "elem",
+        elem: subm,
+        marginLeft: marginLeft,
+        marginRight: marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: subShift,
+        children: _vlistElem
+      }, options);
+    } else if (supm) {
+      // Rule 18c, d
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -supShift,
+        children: [{
+          type: "elem",
+          elem: supm,
+          marginRight: marginRight
+        }]
+      }, options);
+    } else {
+      throw new Error("supsub must have either sup or sub.");
+    } // Wrap the supsub vlist in a span.msupsub to reset text-align.
+
+
+    var mclass = getTypeOfDomTree(base, "right") || "mord";
+    return buildCommon.makeSpan([mclass], [base, buildCommon.makeSpan(["msupsub"], [supsub])], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // Is the inner group a relevant horizonal brace?
+    var isBrace = false;
+    var isOver;
+    var isSup;
+    var horizBrace = checkNodeType(group.base, "horizBrace");
+
+    if (horizBrace) {
+      isSup = !!group.sup;
+
+      if (isSup === horizBrace.isOver) {
+        isBrace = true;
+        isOver = horizBrace.isOver;
+      }
+    }
+
+    if (group.base && (group.base.type === "op" || group.base.type === "operatorname")) {
+      group.base.parentIsSupSub = true;
+    }
+
+    var children = [buildMathML_buildGroup(group.base, options)];
+
+    if (group.sub) {
+      children.push(buildMathML_buildGroup(group.sub, options));
+    }
+
+    if (group.sup) {
+      children.push(buildMathML_buildGroup(group.sup, options));
+    }
+
+    var nodeType;
+
+    if (isBrace) {
+      nodeType = isOver ? "mover" : "munder";
+    } else if (!group.sub) {
+      var base = group.base;
+
+      if (base && base.type === "op" && base.limits && (options.style === src_Style.DISPLAY || base.alwaysHandleSupSub)) {
+        nodeType = "mover";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === src_Style.DISPLAY)) {
+        nodeType = "mover";
+      } else {
+        nodeType = "msup";
+      }
+    } else if (!group.sup) {
+      var _base = group.base;
+
+      if (_base && _base.type === "op" && _base.limits && (options.style === src_Style.DISPLAY || _base.alwaysHandleSupSub)) {
+        nodeType = "munder";
+      } else if (_base && _base.type === "operatorname" && _base.alwaysHandleSupSub && (_base.limits || options.style === src_Style.DISPLAY)) {
+        nodeType = "munder";
+      } else {
+        nodeType = "msub";
+      }
+    } else {
+      var _base2 = group.base;
+
+      if (_base2 && _base2.type === "op" && _base2.limits && options.style === src_Style.DISPLAY) {
+        nodeType = "munderover";
+      } else if (_base2 && _base2.type === "operatorname" && _base2.alwaysHandleSupSub && (options.style === src_Style.DISPLAY || _base2.limits)) {
+        nodeType = "munderover";
+      } else {
+        nodeType = "msubsup";
+      }
+    }
+
+    var node = new mathMLTree.MathNode(nodeType, children);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/symbolsOp.js
+
+
+
+ // Operator ParseNodes created in Parser.js from symbol Groups in src/symbols.js.
+
+defineFunctionBuilders({
+  type: "atom",
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mo", [buildMathML_makeText(group.text, group.mode)]);
+
+    if (group.family === "bin") {
+      var variant = buildMathML_getVariant(group, options);
+
+      if (variant === "bold-italic") {
+        node.setAttribute("mathvariant", variant);
+      }
+    } else if (group.family === "punct") {
+      node.setAttribute("separator", "true");
+    } else if (group.family === "open" || group.family === "close") {
+      // Delims built here should not stretch vertically.
+      // See delimsizing.js for stretchy delims.
+      node.setAttribute("stretchy", "false");
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/symbolsOrd.js
+
+
+
+
+// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in
+var defaultVariant = {
+  "mi": "italic",
+  "mn": "normal",
+  "mtext": "normal"
+};
+defineFunctionBuilders({
+  type: "mathord",
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "mathord");
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mi", [buildMathML_makeText(group.text, group.mode, options)]);
+    var variant = buildMathML_getVariant(group, options) || "italic";
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+});
+defineFunctionBuilders({
+  type: "textord",
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "textord");
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var text = buildMathML_makeText(group.text, group.mode, options);
+    var variant = buildMathML_getVariant(group, options) || "normal";
+    var node;
+
+    if (group.mode === 'text') {
+      node = new mathMLTree.MathNode("mtext", [text]);
+    } else if (/[0-9]/.test(group.text)) {
+      // TODO(kevinb) merge adjacent <mn> nodes
+      // do it as a post processing step
+      node = new mathMLTree.MathNode("mn", [text]);
+    } else if (group.text === "\\prime") {
+      node = new mathMLTree.MathNode("mo", [text]);
+    } else {
+      node = new mathMLTree.MathNode("mi", [text]);
+    }
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/symbolsSpacing.js
+
+
+
+ // A map of CSS-based spacing functions to their CSS class.
+
+var cssSpace = {
+  "\\nobreak": "nobreak",
+  "\\allowbreak": "allowbreak"
+}; // A lookup table to determine whether a spacing function/symbol should be
+// treated like a regular space character.  If a symbol or command is a key
+// in this table, then it should be a regular space character.  Furthermore,
+// the associated value may have a `className` specifying an extra CSS class
+// to add to the created `span`.
+
+var regularSpace = {
+  " ": {},
+  "\\ ": {},
+  "~": {
+    className: "nobreak"
+  },
+  "\\space": {},
+  "\\nobreakspace": {
+    className: "nobreak"
+  }
+}; // ParseNode<"spacing"> created in Parser.js from the "spacing" symbol Groups in
+// src/symbols.js.
+
+defineFunctionBuilders({
+  type: "spacing",
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (regularSpace.hasOwnProperty(group.text)) {
+      var className = regularSpace[group.text].className || ""; // Spaces are generated by adding an actual space. Each of these
+      // things has an entry in the symbols table, so these will be turned
+      // into appropriate outputs.
+
+      if (group.mode === "text") {
+        var ord = buildCommon.makeOrd(group, options, "textord");
+        ord.classes.push(className);
+        return ord;
+      } else {
+        return buildCommon.makeSpan(["mspace", className], [buildCommon.mathsym(group.text, group.mode, options)], options);
+      }
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // Spaces based on just a CSS class.
+      return buildCommon.makeSpan(["mspace", cssSpace[group.text]], [], options);
+    } else {
+      throw new src_ParseError("Unknown type of space \"" + group.text + "\"");
+    }
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node;
+
+    if (regularSpace.hasOwnProperty(group.text)) {
+      node = new mathMLTree.MathNode("mtext", [new mathMLTree.TextNode("\xA0")]);
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // CSS-based MathML spaces (\nobreak, \allowbreak) are ignored
+      return new mathMLTree.MathNode("mspace");
+    } else {
+      throw new src_ParseError("Unknown type of space \"" + group.text + "\"");
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/tag.js
+
+
+
+
+var tag_pad = function pad() {
+  var padNode = new mathMLTree.MathNode("mtd", []);
+  padNode.setAttribute("width", "50%");
+  return padNode;
+};
+
+defineFunctionBuilders({
+  type: "tag",
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var table = new mathMLTree.MathNode("mtable", [new mathMLTree.MathNode("mtr", [tag_pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.body, options)]), tag_pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.tag, options)])])]);
+    table.setAttribute("width", "100%");
+    return table; // TODO: Left-aligned tags.
+    // Currently, the group and options passed here do not contain
+    // enough info to set tag alignment. `leqno` is in Settings but it is
+    // not passed to Options. On the HTML side, leqno is
+    // set by a CSS class applied in buildTree.js. That would have worked
+    // in MathML if browsers supported <mlabeledtr>. Since they don't, we
+    // need to rewrite the way this function is called.
+  }
+});
+// CONCATENATED MODULE: ./src/functions/text.js
+
+
+
+ // Non-mathy text, possibly in a font
+
+var textFontFamilies = {
+  "\\text": undefined,
+  "\\textrm": "textrm",
+  "\\textsf": "textsf",
+  "\\texttt": "texttt",
+  "\\textnormal": "textrm"
+};
+var textFontWeights = {
+  "\\textbf": "textbf",
+  "\\textmd": "textmd"
+};
+var textFontShapes = {
+  "\\textit": "textit",
+  "\\textup": "textup"
+};
+
+var optionsWithFont = function optionsWithFont(group, options) {
+  var font = group.font; // Checks if the argument is a font family or a font style.
+
+  if (!font) {
+    return options;
+  } else if (textFontFamilies[font]) {
+    return options.withTextFontFamily(textFontFamilies[font]);
+  } else if (textFontWeights[font]) {
+    return options.withTextFontWeight(textFontWeights[font]);
+  } else {
+    return options.withTextFontShape(textFontShapes[font]);
+  }
+};
+
+defineFunction({
+  type: "text",
+  names: [// Font families
+  "\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", // Font weights
+  "\\textbf", "\\textmd", // Font Shapes
+  "\\textit", "\\textup"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"],
+    greediness: 2,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "text",
+      mode: parser.mode,
+      body: defineFunction_ordargument(body),
+      font: funcName
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var newOptions = optionsWithFont(group, options);
+    var inner = buildHTML_buildExpression(group.body, newOptions, true);
+    return buildCommon.makeSpan(["mord", "text"], buildCommon.tryCombineChars(inner), newOptions);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var newOptions = optionsWithFont(group, options);
+    return buildExpressionRow(group.body, newOptions);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/underline.js
+
+
+
+
+
+defineFunction({
+  type: "underline",
+  names: ["\\underline"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    return {
+      type: "underline",
+      mode: parser.mode,
+      body: args[0]
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Underlines are handled in the TeXbook pg 443, Rule 10.
+    // Build the inner group.
+    var innerGroup = buildHTML_buildGroup(group.body, options); // Create the line to go below the body
+
+    var line = buildCommon.makeLineSpan("underline-line", options); // Generate the vlist, with the appropriate kerns
+
+    var defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    var vlist = buildCommon.makeVList({
+      positionType: "top",
+      positionData: innerGroup.height,
+      children: [{
+        type: "kern",
+        size: defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "underline"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203E")]);
+    operator.setAttribute("stretchy", "true");
+    var node = new mathMLTree.MathNode("munder", [buildMathML_buildGroup(group.body, options), operator]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/verb.js
+
+
+
+
+defineFunction({
+  type: "verb",
+  names: ["\\verb"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(context, args, optArgs) {
+    // \verb and \verb* are dealt with directly in Parser.js.
+    // If we end up here, it's because of a failure to match the two delimiters
+    // in the regex in Lexer.js.  LaTeX raises the following error when \verb is
+    // terminated by end of line (or file).
+    throw new src_ParseError("\\verb ended by end of line instead of matching delimiter");
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var text = makeVerb(group);
+    var body = []; // \verb enters text mode and therefore is sized like \textstyle
+
+    var newOptions = options.havingStyle(options.style.text());
+
+    for (var i = 0; i < text.length; i++) {
+      var c = text[i];
+
+      if (c === '~') {
+        c = '\\textasciitilde';
+      }
+
+      body.push(buildCommon.makeSymbol(c, "Typewriter-Regular", group.mode, newOptions, ["mord", "texttt"]));
+    }
+
+    return buildCommon.makeSpan(["mord", "text"].concat(newOptions.sizingClasses(options)), buildCommon.tryCombineChars(body), newOptions);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var text = new mathMLTree.TextNode(makeVerb(group));
+    var node = new mathMLTree.MathNode("mtext", [text]);
+    node.setAttribute("mathvariant", "monospace");
+    return node;
+  }
+});
+/**
+ * Converts verb group into body string.
+ *
+ * \verb* replaces each space with an open box \u2423
+ * \verb replaces each space with a no-break space \xA0
+ */
+
+var makeVerb = function makeVerb(group) {
+  return group.body.replace(/ /g, group.star ? "\u2423" : '\xA0');
+};
+// CONCATENATED MODULE: ./src/functions.js
+/** Include this to ensure that all functions are defined. */
+
+var functions = _functions;
+/* harmony default export */ var src_functions = (functions); // TODO(kevinb): have functions return an object and call defineFunction with
+// that object in this file instead of relying on side-effects.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+// CONCATENATED MODULE: ./src/Lexer.js
+/**
+ * The Lexer class handles tokenizing the input in various ways. Since our
+ * parser expects us to be able to backtrack, the lexer allows lexing from any
+ * given starting point.
+ *
+ * Its main exposed function is the `lex` function, which takes a position to
+ * lex from and a type of token to lex. It defers to the appropriate `_innerLex`
+ * function.
+ *
+ * The various `_innerLex` functions perform the actual lexing of different
+ * kinds.
+ */
+
+
+
+
+/* The following tokenRegex
+ * - matches typical whitespace (but not NBSP etc.) using its first group
+ * - does not match any control character \x00-\x1f except whitespace
+ * - does not match a bare backslash
+ * - matches any ASCII character except those just mentioned
+ * - does not match the BMP private use area \uE000-\uF8FF
+ * - does not match bare surrogate code units
+ * - matches any BMP character except for those just described
+ * - matches any valid Unicode surrogate pair
+ * - matches a backslash followed by one or more letters
+ * - matches a backslash followed by any BMP character, including newline
+ * Just because the Lexer matches something doesn't mean it's valid input:
+ * If there is no matching function or symbol definition, the Parser will
+ * still reject the input.
+ */
+var spaceRegexString = "[ \r\n\t]";
+var controlWordRegexString = "\\\\[a-zA-Z@]+";
+var controlSymbolRegexString = "\\\\[^\uD800-\uDFFF]";
+var controlWordWhitespaceRegexString = "" + controlWordRegexString + spaceRegexString + "*";
+var controlWordWhitespaceRegex = new RegExp("^(" + controlWordRegexString + ")" + spaceRegexString + "*$");
+var combiningDiacriticalMarkString = "[\u0300-\u036F]";
+var combiningDiacriticalMarksEndRegex = new RegExp(combiningDiacriticalMarkString + "+$");
+var tokenRegexString = "(" + spaceRegexString + "+)|" + // whitespace
+"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + ( // single codepoint
+combiningDiacriticalMarkString + "*") + // ...plus accents
+"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + ( // surrogate pair
+combiningDiacriticalMarkString + "*") + // ...plus accents
+"|\\\\verb\\*([^]).*?\\3" + // \verb*
+"|\\\\verb([^*a-zA-Z]).*?\\4" + // \verb unstarred
+"|\\\\operatorname\\*" + ( // \operatorname*
+"|" + controlWordWhitespaceRegexString) + ( // \macroName + spaces
+"|" + controlSymbolRegexString + ")"); // \\, \', etc.
+
+/** Main Lexer class */
+
+var Lexer_Lexer =
+/*#__PURE__*/
+function () {
+  // category codes, only supports comment characters (14) for now
+  function Lexer(input, settings) {
+    this.input = void 0;
+    this.settings = void 0;
+    this.tokenRegex = void 0;
+    this.catcodes = void 0;
+    // Separate accents from characters
+    this.input = input;
+    this.settings = settings;
+    this.tokenRegex = new RegExp(tokenRegexString, 'g');
+    this.catcodes = {
+      "%": 14 // comment character
+
+    };
+  }
+
+  var _proto = Lexer.prototype;
+
+  _proto.setCatcode = function setCatcode(char, code) {
+    this.catcodes[char] = code;
+  }
+  /**
+   * This function lexes a single token.
+   */
+  ;
+
+  _proto.lex = function lex() {
+    var input = this.input;
+    var pos = this.tokenRegex.lastIndex;
+
+    if (pos === input.length) {
+      return new Token_Token("EOF", new SourceLocation(this, pos, pos));
+    }
+
+    var match = this.tokenRegex.exec(input);
+
+    if (match === null || match.index !== pos) {
+      throw new src_ParseError("Unexpected character: '" + input[pos] + "'", new Token_Token(input[pos], new SourceLocation(this, pos, pos + 1)));
+    }
+
+    var text = match[2] || " ";
+
+    if (this.catcodes[text] === 14) {
+      // comment character
+      var nlIndex = input.indexOf('\n', this.tokenRegex.lastIndex);
+
+      if (nlIndex === -1) {
+        this.tokenRegex.lastIndex = input.length; // EOF
+
+        this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would " + "fail because of commenting the end of math mode (e.g. $)");
+      } else {
+        this.tokenRegex.lastIndex = nlIndex + 1;
+      }
+
+      return this.lex();
+    } // Trim any trailing whitespace from control word match
+
+
+    var controlMatch = text.match(controlWordWhitespaceRegex);
+
+    if (controlMatch) {
+      text = controlMatch[1];
+    }
+
+    return new Token_Token(text, new SourceLocation(this, pos, this.tokenRegex.lastIndex));
+  };
+
+  return Lexer;
+}();
+
+
+// CONCATENATED MODULE: ./src/Namespace.js
+/**
+ * A `Namespace` refers to a space of nameable things like macros or lengths,
+ * which can be `set` either globally or local to a nested group, using an
+ * undo stack similar to how TeX implements this functionality.
+ * Performance-wise, `get` and local `set` take constant time, while global
+ * `set` takes time proportional to the depth of group nesting.
+ */
+
+
+var Namespace_Namespace =
+/*#__PURE__*/
+function () {
+  /**
+   * Both arguments are optional.  The first argument is an object of
+   * built-in mappings which never change.  The second argument is an object
+   * of initial (global-level) mappings, which will constantly change
+   * according to any global/top-level `set`s done.
+   */
+  function Namespace(builtins, globalMacros) {
+    if (builtins === void 0) {
+      builtins = {};
+    }
+
+    if (globalMacros === void 0) {
+      globalMacros = {};
+    }
+
+    this.current = void 0;
+    this.builtins = void 0;
+    this.undefStack = void 0;
+    this.current = globalMacros;
+    this.builtins = builtins;
+    this.undefStack = [];
+  }
+  /**
+   * Start a new nested group, affecting future local `set`s.
+   */
+
+
+  var _proto = Namespace.prototype;
+
+  _proto.beginGroup = function beginGroup() {
+    this.undefStack.push({});
+  }
+  /**
+   * End current nested group, restoring values before the group began.
+   */
+  ;
+
+  _proto.endGroup = function endGroup() {
+    if (this.undefStack.length === 0) {
+      throw new src_ParseError("Unbalanced namespace destruction: attempt " + "to pop global namespace; please report this as a bug");
+    }
+
+    var undefs = this.undefStack.pop();
+
+    for (var undef in undefs) {
+      if (undefs.hasOwnProperty(undef)) {
+        if (undefs[undef] === undefined) {
+          delete this.current[undef];
+        } else {
+          this.current[undef] = undefs[undef];
+        }
+      }
+    }
+  }
+  /**
+   * Detect whether `name` has a definition.  Equivalent to
+   * `get(name) != null`.
+   */
+  ;
+
+  _proto.has = function has(name) {
+    return this.current.hasOwnProperty(name) || this.builtins.hasOwnProperty(name);
+  }
+  /**
+   * Get the current value of a name, or `undefined` if there is no value.
+   *
+   * Note: Do not use `if (namespace.get(...))` to detect whether a macro
+   * is defined, as the definition may be the empty string which evaluates
+   * to `false` in JavaScript.  Use `if (namespace.get(...) != null)` or
+   * `if (namespace.has(...))`.
+   */
+  ;
+
+  _proto.get = function get(name) {
+    if (this.current.hasOwnProperty(name)) {
+      return this.current[name];
+    } else {
+      return this.builtins[name];
+    }
+  }
+  /**
+   * Set the current value of a name, and optionally set it globally too.
+   * Local set() sets the current value and (when appropriate) adds an undo
+   * operation to the undo stack.  Global set() may change the undo
+   * operation at every level, so takes time linear in their number.
+   */
+  ;
+
+  _proto.set = function set(name, value, global) {
+    if (global === void 0) {
+      global = false;
+    }
+
+    if (global) {
+      // Global set is equivalent to setting in all groups.  Simulate this
+      // by destroying any undos currently scheduled for this name,
+      // and adding an undo with the *new* value (in case it later gets
+      // locally reset within this environment).
+      for (var i = 0; i < this.undefStack.length; i++) {
+        delete this.undefStack[i][name];
+      }
+
+      if (this.undefStack.length > 0) {
+        this.undefStack[this.undefStack.length - 1][name] = value;
+      }
+    } else {
+      // Undo this set at end of this group (possibly to `undefined`),
+      // unless an undo is already in place, in which case that older
+      // value is the correct one.
+      var top = this.undefStack[this.undefStack.length - 1];
+
+      if (top && !top.hasOwnProperty(name)) {
+        top[name] = this.current[name];
+      }
+    }
+
+    this.current[name] = value;
+  };
+
+  return Namespace;
+}();
+
+
+// CONCATENATED MODULE: ./src/macros.js
+/**
+ * Predefined macros for KaTeX.
+ * This can be used to define some commands in terms of others.
+ */
+
+
+
+
+
+var builtinMacros = {};
+/* harmony default export */ var macros = (builtinMacros); // This function might one day accept an additional argument and do more things.
+
+function defineMacro(name, body) {
+  builtinMacros[name] = body;
+} //////////////////////////////////////////////////////////////////////
+// macro tools
+// LaTeX's \@firstoftwo{#1}{#2} expands to #1, skipping #2
+// TeX source: \long\def\@firstoftwo#1#2{#1}
+
+defineMacro("\\@firstoftwo", function (context) {
+  var args = context.consumeArgs(2);
+  return {
+    tokens: args[0],
+    numArgs: 0
+  };
+}); // LaTeX's \@secondoftwo{#1}{#2} expands to #2, skipping #1
+// TeX source: \long\def\@secondoftwo#1#2{#2}
+
+defineMacro("\\@secondoftwo", function (context) {
+  var args = context.consumeArgs(2);
+  return {
+    tokens: args[1],
+    numArgs: 0
+  };
+}); // LaTeX's \@ifnextchar{#1}{#2}{#3} looks ahead to the next (unexpanded)
+// symbol.  If it matches #1, then the macro expands to #2; otherwise, #3.
+// Note, however, that it does not consume the next symbol in either case.
+
+defineMacro("\\@ifnextchar", function (context) {
+  var args = context.consumeArgs(3); // symbol, if, else
+
+  var nextToken = context.future();
+
+  if (args[0].length === 1 && args[0][0].text === nextToken.text) {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[2],
+      numArgs: 0
+    };
+  }
+}); // LaTeX's \@ifstar{#1}{#2} looks ahead to the next (unexpanded) symbol.
+// If it is `*`, then it consumes the symbol, and the macro expands to #1;
+// otherwise, the macro expands to #2 (without consuming the symbol).
+// TeX source: \def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}}
+
+defineMacro("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"); // LaTeX's \TextOrMath{#1}{#2} expands to #1 in text mode, #2 in math mode
+
+defineMacro("\\TextOrMath", function (context) {
+  var args = context.consumeArgs(2);
+
+  if (context.mode === 'text') {
+    return {
+      tokens: args[0],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  }
+}); // Lookup table for parsing numbers in base 8 through 16
+
+var digitToNumber = {
+  "0": 0,
+  "1": 1,
+  "2": 2,
+  "3": 3,
+  "4": 4,
+  "5": 5,
+  "6": 6,
+  "7": 7,
+  "8": 8,
+  "9": 9,
+  "a": 10,
+  "A": 10,
+  "b": 11,
+  "B": 11,
+  "c": 12,
+  "C": 12,
+  "d": 13,
+  "D": 13,
+  "e": 14,
+  "E": 14,
+  "f": 15,
+  "F": 15
+}; // TeX \char makes a literal character (catcode 12) using the following forms:
+// (see The TeXBook, p. 43)
+//   \char123  -- decimal
+//   \char'123 -- octal
+//   \char"123 -- hex
+//   \char`x   -- character that can be written (i.e. isn't active)
+//   \char`\x  -- character that cannot be written (e.g. %)
+// These all refer to characters from the font, so we turn them into special
+// calls to a function \@char dealt with in the Parser.
+
+defineMacro("\\char", function (context) {
+  var token = context.popToken();
+  var base;
+  var number = '';
+
+  if (token.text === "'") {
+    base = 8;
+    token = context.popToken();
+  } else if (token.text === '"') {
+    base = 16;
+    token = context.popToken();
+  } else if (token.text === "`") {
+    token = context.popToken();
+
+    if (token.text[0] === "\\") {
+      number = token.text.charCodeAt(1);
+    } else if (token.text === "EOF") {
+      throw new src_ParseError("\\char` missing argument");
+    } else {
+      number = token.text.charCodeAt(0);
+    }
+  } else {
+    base = 10;
+  }
+
+  if (base) {
+    // Parse a number in the given base, starting with first `token`.
+    number = digitToNumber[token.text];
+
+    if (number == null || number >= base) {
+      throw new src_ParseError("Invalid base-" + base + " digit " + token.text);
+    }
+
+    var digit;
+
+    while ((digit = digitToNumber[context.future().text]) != null && digit < base) {
+      number *= base;
+      number += digit;
+      context.popToken();
+    }
+  }
+
+  return "\\@char{" + number + "}";
+}); // Basic support for macro definitions:
+//     \def\macro{expansion}
+//     \def\macro#1{expansion}
+//     \def\macro#1#2{expansion}
+//     \def\macro#1#2#3#4#5#6#7#8#9{expansion}
+// Also the \gdef and \global\def equivalents
+
+var macros_def = function def(context, global) {
+  var arg = context.consumeArgs(1)[0];
+
+  if (arg.length !== 1) {
+    throw new src_ParseError("\\gdef's first argument must be a macro name");
+  }
+
+  var name = arg[0].text; // Count argument specifiers, and check they are in the order #1 #2 ...
+
+  var numArgs = 0;
+  arg = context.consumeArgs(1)[0];
+
+  while (arg.length === 1 && arg[0].text === "#") {
+    arg = context.consumeArgs(1)[0];
+
+    if (arg.length !== 1) {
+      throw new src_ParseError("Invalid argument number length \"" + arg.length + "\"");
+    }
+
+    if (!/^[1-9]$/.test(arg[0].text)) {
+      throw new src_ParseError("Invalid argument number \"" + arg[0].text + "\"");
+    }
+
+    numArgs++;
+
+    if (parseInt(arg[0].text) !== numArgs) {
+      throw new src_ParseError("Argument number \"" + arg[0].text + "\" out of order");
+    }
+
+    arg = context.consumeArgs(1)[0];
+  } // Final arg is the expansion of the macro
+
+
+  context.macros.set(name, {
+    tokens: arg,
+    numArgs: numArgs
+  }, global);
+  return '';
+};
+
+defineMacro("\\gdef", function (context) {
+  return macros_def(context, true);
+});
+defineMacro("\\def", function (context) {
+  return macros_def(context, false);
+});
+defineMacro("\\global", function (context) {
+  var next = context.consumeArgs(1)[0];
+
+  if (next.length !== 1) {
+    throw new src_ParseError("Invalid command after \\global");
+  }
+
+  var command = next[0].text; // TODO: Should expand command
+
+  if (command === "\\def") {
+    // \global\def is equivalent to \gdef
+    return macros_def(context, true);
+  } else {
+    throw new src_ParseError("Invalid command '" + command + "' after \\global");
+  }
+}); // \newcommand{\macro}[args]{definition}
+// \renewcommand{\macro}[args]{definition}
+// TODO: Optional arguments: \newcommand{\macro}[args][default]{definition}
+
+var macros_newcommand = function newcommand(context, existsOK, nonexistsOK) {
+  var arg = context.consumeArgs(1)[0];
+
+  if (arg.length !== 1) {
+    throw new src_ParseError("\\newcommand's first argument must be a macro name");
+  }
+
+  var name = arg[0].text;
+  var exists = context.isDefined(name);
+
+  if (exists && !existsOK) {
+    throw new src_ParseError("\\newcommand{" + name + "} attempting to redefine " + (name + "; use \\renewcommand"));
+  }
+
+  if (!exists && !nonexistsOK) {
+    throw new src_ParseError("\\renewcommand{" + name + "} when command " + name + " " + "does not yet exist; use \\newcommand");
+  }
+
+  var numArgs = 0;
+  arg = context.consumeArgs(1)[0];
+
+  if (arg.length === 1 && arg[0].text === "[") {
+    var argText = '';
+    var token = context.expandNextToken();
+
+    while (token.text !== "]" && token.text !== "EOF") {
+      // TODO: Should properly expand arg, e.g., ignore {}s
+      argText += token.text;
+      token = context.expandNextToken();
+    }
+
+    if (!argText.match(/^\s*[0-9]+\s*$/)) {
+      throw new src_ParseError("Invalid number of arguments: " + argText);
+    }
+
+    numArgs = parseInt(argText);
+    arg = context.consumeArgs(1)[0];
+  } // Final arg is the expansion of the macro
+
+
+  context.macros.set(name, {
+    tokens: arg,
+    numArgs: numArgs
+  });
+  return '';
+};
+
+defineMacro("\\newcommand", function (context) {
+  return macros_newcommand(context, false, true);
+});
+defineMacro("\\renewcommand", function (context) {
+  return macros_newcommand(context, true, false);
+});
+defineMacro("\\providecommand", function (context) {
+  return macros_newcommand(context, true, true);
+}); //////////////////////////////////////////////////////////////////////
+// Grouping
+// \let\bgroup={ \let\egroup=}
+
+defineMacro("\\bgroup", "{");
+defineMacro("\\egroup", "}"); // Symbols from latex.ltx:
+// \def\lq{`}
+// \def\rq{'}
+// \def \aa {\r a}
+// \def \AA {\r A}
+
+defineMacro("\\lq", "`");
+defineMacro("\\rq", "'");
+defineMacro("\\aa", "\\r a");
+defineMacro("\\AA", "\\r A"); // Copyright (C) and registered (R) symbols. Use raw symbol in MathML.
+// \DeclareTextCommandDefault{\textcopyright}{\textcircled{c}}
+// \DeclareTextCommandDefault{\textregistered}{\textcircled{%
+//      \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}}
+// \DeclareRobustCommand{\copyright}{%
+//    \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi}
+
+defineMacro("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}");
+defineMacro("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}");
+defineMacro("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"); // Characters omitted from Unicode range 1D400–1D7FF
+
+defineMacro("\u212C", "\\mathscr{B}"); // script
+
+defineMacro("\u2130", "\\mathscr{E}");
+defineMacro("\u2131", "\\mathscr{F}");
+defineMacro("\u210B", "\\mathscr{H}");
+defineMacro("\u2110", "\\mathscr{I}");
+defineMacro("\u2112", "\\mathscr{L}");
+defineMacro("\u2133", "\\mathscr{M}");
+defineMacro("\u211B", "\\mathscr{R}");
+defineMacro("\u212D", "\\mathfrak{C}"); // Fraktur
+
+defineMacro("\u210C", "\\mathfrak{H}");
+defineMacro("\u2128", "\\mathfrak{Z}"); // Define \Bbbk with a macro that works in both HTML and MathML.
+
+defineMacro("\\Bbbk", "\\Bbb{k}"); // Unicode middle dot
+// The KaTeX fonts do not contain U+00B7. Instead, \cdotp displays
+// the dot at U+22C5 and gives it punct spacing.
+
+defineMacro("\xB7", "\\cdotp"); // \llap and \rlap render their contents in text mode
+
+defineMacro("\\llap", "\\mathllap{\\textrm{#1}}");
+defineMacro("\\rlap", "\\mathrlap{\\textrm{#1}}");
+defineMacro("\\clap", "\\mathclap{\\textrm{#1}}"); // \not is defined by base/fontmath.ltx via
+// \DeclareMathSymbol{\not}{\mathrel}{symbols}{"36}
+// It's thus treated like a \mathrel, but defined by a symbol that has zero
+// width but extends to the right.  We use \rlap to get that spacing.
+// For MathML we write U+0338 here. buildMathML.js will then do the overlay.
+
+defineMacro("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'); // Negated symbols from base/fontmath.ltx:
+// \def\neq{\not=} \let\ne=\neq
+// \DeclareRobustCommand
+//   \notin{\mathrel{\m@th\mathpalette\c@ncel\in}}
+// \def\c@ncel#1#2{\m@th\ooalign{$\hfil#1\mkern1mu/\hfil$\crcr$#1#2$}}
+
+defineMacro("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}");
+defineMacro("\\ne", "\\neq");
+defineMacro("\u2260", "\\neq");
+defineMacro("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}" + "{\\mathrel{\\char`∉}}");
+defineMacro("\u2209", "\\notin"); // Unicode stacked relations
+
+defineMacro("\u2258", "\\html@mathml{" + "\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}" + "}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u225A", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225A}}");
+defineMacro("\u225B", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}" + "{\\mathrel{\\char`\u225B}}");
+defineMacro("\u225D", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}" + "{\\mathrel{\\char`\u225D}}");
+defineMacro("\u225E", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}" + "{\\mathrel{\\char`\u225E}}");
+defineMacro("\u225F", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225F}}"); // Misc Unicode
+
+defineMacro("\u27C2", "\\perp");
+defineMacro("\u203C", "\\mathclose{!\\mkern-0.8mu!}");
+defineMacro("\u220C", "\\notni");
+defineMacro("\u231C", "\\ulcorner");
+defineMacro("\u231D", "\\urcorner");
+defineMacro("\u231E", "\\llcorner");
+defineMacro("\u231F", "\\lrcorner");
+defineMacro("\xA9", "\\copyright");
+defineMacro("\xAE", "\\textregistered");
+defineMacro("\uFE0F", "\\textregistered"); //////////////////////////////////////////////////////////////////////
+// LaTeX_2ε
+// \vdots{\vbox{\baselineskip4\p@  \lineskiplimit\z@
+// \kern6\p@\hbox{.}\hbox{.}\hbox{.}}}
+// We'll call \varvdots, which gets a glyph from symbols.js.
+// The zero-width rule gets us an equivalent to the vertical 6pt kern.
+
+defineMacro("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}");
+defineMacro("\u22EE", "\\vdots"); //////////////////////////////////////////////////////////////////////
+// amsmath.sty
+// http://mirrors.concertpass.com/tex-archive/macros/latex/required/amsmath/amsmath.pdf
+// Italic Greek capital letters.  AMS defines these with \DeclareMathSymbol,
+// but they are equivalent to \mathit{\Letter}.
+
+defineMacro("\\varGamma", "\\mathit{\\Gamma}");
+defineMacro("\\varDelta", "\\mathit{\\Delta}");
+defineMacro("\\varTheta", "\\mathit{\\Theta}");
+defineMacro("\\varLambda", "\\mathit{\\Lambda}");
+defineMacro("\\varXi", "\\mathit{\\Xi}");
+defineMacro("\\varPi", "\\mathit{\\Pi}");
+defineMacro("\\varSigma", "\\mathit{\\Sigma}");
+defineMacro("\\varUpsilon", "\\mathit{\\Upsilon}");
+defineMacro("\\varPhi", "\\mathit{\\Phi}");
+defineMacro("\\varPsi", "\\mathit{\\Psi}");
+defineMacro("\\varOmega", "\\mathit{\\Omega}"); //\newcommand{\substack}[1]{\subarray{c}#1\endsubarray}
+
+defineMacro("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"); // \renewcommand{\colon}{\nobreak\mskip2mu\mathpunct{}\nonscript
+// \mkern-\thinmuskip{:}\mskip6muplus1mu\relax}
+
+defineMacro("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}" + "\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu"); // \newcommand{\boxed}[1]{\fbox{\m@th$\displaystyle#1$}}
+
+defineMacro("\\boxed", "\\fbox{$\\displaystyle{#1}$}"); // \def\iff{\DOTSB\;\Longleftrightarrow\;}
+// \def\implies{\DOTSB\;\Longrightarrow\;}
+// \def\impliedby{\DOTSB\;\Longleftarrow\;}
+
+defineMacro("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;");
+defineMacro("\\implies", "\\DOTSB\\;\\Longrightarrow\\;");
+defineMacro("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;"); // AMSMath's automatic \dots, based on \mdots@@ macro.
+
+var dotsByToken = {
+  ',': '\\dotsc',
+  '\\not': '\\dotsb',
+  // \keybin@ checks for the following:
+  '+': '\\dotsb',
+  '=': '\\dotsb',
+  '<': '\\dotsb',
+  '>': '\\dotsb',
+  '-': '\\dotsb',
+  '*': '\\dotsb',
+  ':': '\\dotsb',
+  // Symbols whose definition starts with \DOTSB:
+  '\\DOTSB': '\\dotsb',
+  '\\coprod': '\\dotsb',
+  '\\bigvee': '\\dotsb',
+  '\\bigwedge': '\\dotsb',
+  '\\biguplus': '\\dotsb',
+  '\\bigcap': '\\dotsb',
+  '\\bigcup': '\\dotsb',
+  '\\prod': '\\dotsb',
+  '\\sum': '\\dotsb',
+  '\\bigotimes': '\\dotsb',
+  '\\bigoplus': '\\dotsb',
+  '\\bigodot': '\\dotsb',
+  '\\bigsqcup': '\\dotsb',
+  '\\And': '\\dotsb',
+  '\\longrightarrow': '\\dotsb',
+  '\\Longrightarrow': '\\dotsb',
+  '\\longleftarrow': '\\dotsb',
+  '\\Longleftarrow': '\\dotsb',
+  '\\longleftrightarrow': '\\dotsb',
+  '\\Longleftrightarrow': '\\dotsb',
+  '\\mapsto': '\\dotsb',
+  '\\longmapsto': '\\dotsb',
+  '\\hookrightarrow': '\\dotsb',
+  '\\doteq': '\\dotsb',
+  // Symbols whose definition starts with \mathbin:
+  '\\mathbin': '\\dotsb',
+  // Symbols whose definition starts with \mathrel:
+  '\\mathrel': '\\dotsb',
+  '\\relbar': '\\dotsb',
+  '\\Relbar': '\\dotsb',
+  '\\xrightarrow': '\\dotsb',
+  '\\xleftarrow': '\\dotsb',
+  // Symbols whose definition starts with \DOTSI:
+  '\\DOTSI': '\\dotsi',
+  '\\int': '\\dotsi',
+  '\\oint': '\\dotsi',
+  '\\iint': '\\dotsi',
+  '\\iiint': '\\dotsi',
+  '\\iiiint': '\\dotsi',
+  '\\idotsint': '\\dotsi',
+  // Symbols whose definition starts with \DOTSX:
+  '\\DOTSX': '\\dotsx'
+};
+defineMacro("\\dots", function (context) {
+  // TODO: If used in text mode, should expand to \textellipsis.
+  // However, in KaTeX, \textellipsis and \ldots behave the same
+  // (in text mode), and it's unlikely we'd see any of the math commands
+  // that affect the behavior of \dots when in text mode.  So fine for now
+  // (until we support \ifmmode ... \else ... \fi).
+  var thedots = '\\dotso';
+  var next = context.expandAfterFuture().text;
+
+  if (next in dotsByToken) {
+    thedots = dotsByToken[next];
+  } else if (next.substr(0, 4) === '\\not') {
+    thedots = '\\dotsb';
+  } else if (next in src_symbols.math) {
+    if (utils.contains(['bin', 'rel'], src_symbols.math[next].group)) {
+      thedots = '\\dotsb';
+    }
+  }
+
+  return thedots;
+});
+var spaceAfterDots = {
+  // \rightdelim@ checks for the following:
+  ')': true,
+  ']': true,
+  '\\rbrack': true,
+  '\\}': true,
+  '\\rbrace': true,
+  '\\rangle': true,
+  '\\rceil': true,
+  '\\rfloor': true,
+  '\\rgroup': true,
+  '\\rmoustache': true,
+  '\\right': true,
+  '\\bigr': true,
+  '\\biggr': true,
+  '\\Bigr': true,
+  '\\Biggr': true,
+  // \extra@ also tests for the following:
+  '$': true,
+  // \extrap@ checks for the following:
+  ';': true,
+  '.': true,
+  ',': true
+};
+defineMacro("\\dotso", function (context) {
+  var next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\dotsc", function (context) {
+  var next = context.future().text; // \dotsc uses \extra@ but not \extrap@, instead specially checking for
+  // ';' and '.', but doesn't check for ','.
+
+  if (next in spaceAfterDots && next !== ',') {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\cdots", function (context) {
+  var next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\@cdots\\,";
+  } else {
+    return "\\@cdots";
+  }
+});
+defineMacro("\\dotsb", "\\cdots");
+defineMacro("\\dotsm", "\\cdots");
+defineMacro("\\dotsi", "\\!\\cdots"); // amsmath doesn't actually define \dotsx, but \dots followed by a macro
+// starting with \DOTSX implies \dotso, and then \extra@ detects this case
+// and forces the added `\,`.
+
+defineMacro("\\dotsx", "\\ldots\\,"); // \let\DOTSI\relax
+// \let\DOTSB\relax
+// \let\DOTSX\relax
+
+defineMacro("\\DOTSI", "\\relax");
+defineMacro("\\DOTSB", "\\relax");
+defineMacro("\\DOTSX", "\\relax"); // Spacing, based on amsmath.sty's override of LaTeX defaults
+// \DeclareRobustCommand{\tmspace}[3]{%
+//   \ifmmode\mskip#1#2\else\kern#1#3\fi\relax}
+
+defineMacro("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"); // \renewcommand{\,}{\tmspace+\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\,", "\\tmspace+{3mu}{.1667em}"); // \let\thinspace\,
+
+defineMacro("\\thinspace", "\\,"); // \def\>{\mskip\medmuskip}
+// \renewcommand{\:}{\tmspace+\medmuskip{.2222em}}
+// TODO: \> and math mode of \: should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\>", "\\mskip{4mu}");
+defineMacro("\\:", "\\tmspace+{4mu}{.2222em}"); // \let\medspace\:
+
+defineMacro("\\medspace", "\\:"); // \renewcommand{\;}{\tmspace+\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip = 5mu plus 5mu
+
+defineMacro("\\;", "\\tmspace+{5mu}{.2777em}"); // \let\thickspace\;
+
+defineMacro("\\thickspace", "\\;"); // \renewcommand{\!}{\tmspace-\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\!", "\\tmspace-{3mu}{.1667em}"); // \let\negthinspace\!
+
+defineMacro("\\negthinspace", "\\!"); // \newcommand{\negmedspace}{\tmspace-\medmuskip{.2222em}}
+// TODO: math mode should use \medmuskip
+
+defineMacro("\\negmedspace", "\\tmspace-{4mu}{.2222em}"); // \newcommand{\negthickspace}{\tmspace-\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip
+
+defineMacro("\\negthickspace", "\\tmspace-{5mu}{.277em}"); // \def\enspace{\kern.5em }
+
+defineMacro("\\enspace", "\\kern.5em "); // \def\enskip{\hskip.5em\relax}
+
+defineMacro("\\enskip", "\\hskip.5em\\relax"); // \def\quad{\hskip1em\relax}
+
+defineMacro("\\quad", "\\hskip1em\\relax"); // \def\qquad{\hskip2em\relax}
+
+defineMacro("\\qquad", "\\hskip2em\\relax"); // \tag@in@display form of \tag
+
+defineMacro("\\tag", "\\@ifstar\\tag@literal\\tag@paren");
+defineMacro("\\tag@paren", "\\tag@literal{({#1})}");
+defineMacro("\\tag@literal", function (context) {
+  if (context.macros.get("\\df@tag")) {
+    throw new src_ParseError("Multiple \\tag");
+  }
+
+  return "\\gdef\\df@tag{\\text{#1}}";
+}); // \renewcommand{\bmod}{\nonscript\mskip-\medmuskip\mkern5mu\mathbin
+//   {\operator@font mod}\penalty900
+//   \mkern5mu\nonscript\mskip-\medmuskip}
+// \newcommand{\pod}[1]{\allowbreak
+//   \if@display\mkern18mu\else\mkern8mu\fi(#1)}
+// \renewcommand{\pmod}[1]{\pod{{\operator@font mod}\mkern6mu#1}}
+// \newcommand{\mod}[1]{\allowbreak\if@display\mkern18mu
+//   \else\mkern12mu\fi{\operator@font mod}\,\,#1}
+// TODO: math mode should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}" + "\\mathbin{\\rm mod}" + "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}");
+defineMacro("\\pod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)");
+defineMacro("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}");
+defineMacro("\\mod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}" + "{\\rm mod}\\,\\,#1"); // \pmb    --   A simulation of bold.
+// The version in ambsy.sty works by typesetting three copies of the argument
+// with small offsets. We use two copies. We omit the vertical offset because
+// of rendering problems that makeVList encounters in Safari.
+
+defineMacro("\\pmb", "\\html@mathml{" + "\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}" + "{\\mathbf{#1}}"); //////////////////////////////////////////////////////////////////////
+// LaTeX source2e
+// \\ defaults to \newline, but changes to \cr within array environment
+
+defineMacro("\\\\", "\\newline"); // \def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@}
+// TODO: Doesn't normally work in math mode because \@ fails.  KaTeX doesn't
+// support \@ yet, so that's omitted, and we add \text so that the result
+// doesn't look funny in math mode.
+
+defineMacro("\\TeX", "\\textrm{\\html@mathml{" + "T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX" + "}{TeX}}"); // \DeclareRobustCommand{\LaTeX}{L\kern-.36em%
+//         {\sbox\z@ T%
+//          \vbox to\ht\z@{\hbox{\check@mathfonts
+//                               \fontsize\sf@size\z@
+//                               \math@fontsfalse\selectfont
+//                               A}%
+//                         \vss}%
+//         }%
+//         \kern-.15em%
+//         \TeX}
+// This code aligns the top of the A with the T (from the perspective of TeX's
+// boxes, though visually the A appears to extend above slightly).
+// We compute the corresponding \raisebox when A is rendered in \normalsize
+// \scriptstyle, which has a scale factor of 0.7 (see Options.js).
+
+var latexRaiseA = fontMetricsData['Main-Regular']["T".charCodeAt(0)][1] - 0.7 * fontMetricsData['Main-Regular']["A".charCodeAt(0)][1] + "em";
+defineMacro("\\LaTeX", "\\textrm{\\html@mathml{" + ("L\\kern-.36em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{LaTeX}}"); // New KaTeX logo based on tweaking LaTeX logo
+
+defineMacro("\\KaTeX", "\\textrm{\\html@mathml{" + ("K\\kern-.17em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{KaTeX}}"); // \DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace}
+// \def\@hspace#1{\hskip  #1\relax}
+// \def\@hspacer#1{\vrule \@width\z@\nobreak
+//                 \hskip #1\hskip \z@skip}
+
+defineMacro("\\hspace", "\\@ifstar\\@hspacer\\@hspace");
+defineMacro("\\@hspace", "\\hskip #1\\relax");
+defineMacro("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"); //////////////////////////////////////////////////////////////////////
+// mathtools.sty
+//\providecommand\ordinarycolon{:}
+
+defineMacro("\\ordinarycolon", ":"); //\def\vcentcolon{\mathrel{\mathop\ordinarycolon}}
+//TODO(edemaine): Not yet centered. Fix via \raisebox or #726
+
+defineMacro("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"); // \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon}
+
+defineMacro("\\dblcolon", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}" + "{\\mathop{\\char\"2237}}"); // \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\coloneqq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2254}}"); // ≔
+// \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\Coloneqq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2237\\char\"3d}}"); // \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\coloneq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"3a\\char\"2212}}"); // \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\Coloneq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"2237\\char\"2212}}"); // \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2255}}"); // ≕
+// \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"3d\\char\"2237}}"); // \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2239}}"); // \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"2212\\char\"2237}}"); // \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\colonapprox", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"3a\\char\"2248}}"); // \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\Colonapprox", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"2237\\char\"2248}}"); // \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\colonsim", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"3a\\char\"223c}}"); // \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\Colonsim", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"2237\\char\"223c}}"); // Some Unicode characters are implemented with macros to mathtools functions.
+
+defineMacro("\u2237", "\\dblcolon"); // ::
+
+defineMacro("\u2239", "\\eqcolon"); // -:
+
+defineMacro("\u2254", "\\coloneqq"); // :=
+
+defineMacro("\u2255", "\\eqqcolon"); // =:
+
+defineMacro("\u2A74", "\\Coloneqq"); // ::=
+//////////////////////////////////////////////////////////////////////
+// colonequals.sty
+// Alternate names for mathtools's macros:
+
+defineMacro("\\ratio", "\\vcentcolon");
+defineMacro("\\coloncolon", "\\dblcolon");
+defineMacro("\\colonequals", "\\coloneqq");
+defineMacro("\\coloncolonequals", "\\Coloneqq");
+defineMacro("\\equalscolon", "\\eqqcolon");
+defineMacro("\\equalscoloncolon", "\\Eqqcolon");
+defineMacro("\\colonminus", "\\coloneq");
+defineMacro("\\coloncolonminus", "\\Coloneq");
+defineMacro("\\minuscolon", "\\eqcolon");
+defineMacro("\\minuscoloncolon", "\\Eqcolon"); // \colonapprox name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonapprox", "\\Colonapprox"); // \colonsim name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonsim", "\\Colonsim"); // Additional macros, implemented by analogy with mathtools definitions:
+
+defineMacro("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");
+defineMacro("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"); // Present in newtxmath, pxfonts and txfonts
+
+defineMacro("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220C}}");
+defineMacro("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}");
+defineMacro("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"); //////////////////////////////////////////////////////////////////////
+// MathML alternates for KaTeX glyphs in the Unicode private area
+
+defineMacro("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}");
+defineMacro("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}");
+defineMacro("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}");
+defineMacro("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}");
+defineMacro("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}");
+defineMacro("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}");
+defineMacro("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}");
+defineMacro("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}");
+defineMacro("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}");
+defineMacro("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}");
+defineMacro("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}");
+defineMacro("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}");
+defineMacro("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}");
+defineMacro("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}"); //////////////////////////////////////////////////////////////////////
+// stmaryrd and semantic
+// The stmaryrd and semantic packages render the next four items by calling a
+// glyph. Those glyphs do not exist in the KaTeX fonts. Hence the macros.
+
+defineMacro("\\llbracket", "\\html@mathml{" + "\\mathopen{[\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u27E6}}");
+defineMacro("\\rrbracket", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu]}}" + "{\\mathclose{\\char`\u27E7}}");
+defineMacro("\u27E6", "\\llbracket"); // blackboard bold [
+
+defineMacro("\u27E7", "\\rrbracket"); // blackboard bold ]
+
+defineMacro("\\lBrace", "\\html@mathml{" + "\\mathopen{\\{\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u2983}}");
+defineMacro("\\rBrace", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu\\}}}" + "{\\mathclose{\\char`\u2984}}");
+defineMacro("\u2983", "\\lBrace"); // blackboard bold {
+
+defineMacro("\u2984", "\\rBrace"); // blackboard bold }
+// TODO: Create variable sized versions of the last two items. I believe that
+// will require new font glyphs.
+//////////////////////////////////////////////////////////////////////
+// texvc.sty
+// The texvc package contains macros available in mediawiki pages.
+// We omit the functions deprecated at
+// https://en.wikipedia.org/wiki/Help:Displaying_a_formula#Deprecated_syntax
+// We also omit texvc's \O, which conflicts with \text{\O}
+
+defineMacro("\\darr", "\\downarrow");
+defineMacro("\\dArr", "\\Downarrow");
+defineMacro("\\Darr", "\\Downarrow");
+defineMacro("\\lang", "\\langle");
+defineMacro("\\rang", "\\rangle");
+defineMacro("\\uarr", "\\uparrow");
+defineMacro("\\uArr", "\\Uparrow");
+defineMacro("\\Uarr", "\\Uparrow");
+defineMacro("\\N", "\\mathbb{N}");
+defineMacro("\\R", "\\mathbb{R}");
+defineMacro("\\Z", "\\mathbb{Z}");
+defineMacro("\\alef", "\\aleph");
+defineMacro("\\alefsym", "\\aleph");
+defineMacro("\\Alpha", "\\mathrm{A}");
+defineMacro("\\Beta", "\\mathrm{B}");
+defineMacro("\\bull", "\\bullet");
+defineMacro("\\Chi", "\\mathrm{X}");
+defineMacro("\\clubs", "\\clubsuit");
+defineMacro("\\cnums", "\\mathbb{C}");
+defineMacro("\\Complex", "\\mathbb{C}");
+defineMacro("\\Dagger", "\\ddagger");
+defineMacro("\\diamonds", "\\diamondsuit");
+defineMacro("\\empty", "\\emptyset");
+defineMacro("\\Epsilon", "\\mathrm{E}");
+defineMacro("\\Eta", "\\mathrm{H}");
+defineMacro("\\exist", "\\exists");
+defineMacro("\\harr", "\\leftrightarrow");
+defineMacro("\\hArr", "\\Leftrightarrow");
+defineMacro("\\Harr", "\\Leftrightarrow");
+defineMacro("\\hearts", "\\heartsuit");
+defineMacro("\\image", "\\Im");
+defineMacro("\\infin", "\\infty");
+defineMacro("\\Iota", "\\mathrm{I}");
+defineMacro("\\isin", "\\in");
+defineMacro("\\Kappa", "\\mathrm{K}");
+defineMacro("\\larr", "\\leftarrow");
+defineMacro("\\lArr", "\\Leftarrow");
+defineMacro("\\Larr", "\\Leftarrow");
+defineMacro("\\lrarr", "\\leftrightarrow");
+defineMacro("\\lrArr", "\\Leftrightarrow");
+defineMacro("\\Lrarr", "\\Leftrightarrow");
+defineMacro("\\Mu", "\\mathrm{M}");
+defineMacro("\\natnums", "\\mathbb{N}");
+defineMacro("\\Nu", "\\mathrm{N}");
+defineMacro("\\Omicron", "\\mathrm{O}");
+defineMacro("\\plusmn", "\\pm");
+defineMacro("\\rarr", "\\rightarrow");
+defineMacro("\\rArr", "\\Rightarrow");
+defineMacro("\\Rarr", "\\Rightarrow");
+defineMacro("\\real", "\\Re");
+defineMacro("\\reals", "\\mathbb{R}");
+defineMacro("\\Reals", "\\mathbb{R}");
+defineMacro("\\Rho", "\\mathrm{P}");
+defineMacro("\\sdot", "\\cdot");
+defineMacro("\\sect", "\\S");
+defineMacro("\\spades", "\\spadesuit");
+defineMacro("\\sub", "\\subset");
+defineMacro("\\sube", "\\subseteq");
+defineMacro("\\supe", "\\supseteq");
+defineMacro("\\Tau", "\\mathrm{T}");
+defineMacro("\\thetasym", "\\vartheta"); // TODO: defineMacro("\\varcoppa", "\\\mbox{\\coppa}");
+
+defineMacro("\\weierp", "\\wp");
+defineMacro("\\Zeta", "\\mathrm{Z}"); //////////////////////////////////////////////////////////////////////
+// statmath.sty
+// https://ctan.math.illinois.edu/macros/latex/contrib/statmath/statmath.pdf
+
+defineMacro("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}");
+defineMacro("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}");
+defineMacro("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"); // Custom Khan Academy colors, should be moved to an optional package
+
+defineMacro("\\blue", "\\textcolor{##6495ed}{#1}");
+defineMacro("\\orange", "\\textcolor{##ffa500}{#1}");
+defineMacro("\\pink", "\\textcolor{##ff00af}{#1}");
+defineMacro("\\red", "\\textcolor{##df0030}{#1}");
+defineMacro("\\green", "\\textcolor{##28ae7b}{#1}");
+defineMacro("\\gray", "\\textcolor{gray}{#1}");
+defineMacro("\\purple", "\\textcolor{##9d38bd}{#1}");
+defineMacro("\\blueA", "\\textcolor{##ccfaff}{#1}");
+defineMacro("\\blueB", "\\textcolor{##80f6ff}{#1}");
+defineMacro("\\blueC", "\\textcolor{##63d9ea}{#1}");
+defineMacro("\\blueD", "\\textcolor{##11accd}{#1}");
+defineMacro("\\blueE", "\\textcolor{##0c7f99}{#1}");
+defineMacro("\\tealA", "\\textcolor{##94fff5}{#1}");
+defineMacro("\\tealB", "\\textcolor{##26edd5}{#1}");
+defineMacro("\\tealC", "\\textcolor{##01d1c1}{#1}");
+defineMacro("\\tealD", "\\textcolor{##01a995}{#1}");
+defineMacro("\\tealE", "\\textcolor{##208170}{#1}");
+defineMacro("\\greenA", "\\textcolor{##b6ffb0}{#1}");
+defineMacro("\\greenB", "\\textcolor{##8af281}{#1}");
+defineMacro("\\greenC", "\\textcolor{##74cf70}{#1}");
+defineMacro("\\greenD", "\\textcolor{##1fab54}{#1}");
+defineMacro("\\greenE", "\\textcolor{##0d923f}{#1}");
+defineMacro("\\goldA", "\\textcolor{##ffd0a9}{#1}");
+defineMacro("\\goldB", "\\textcolor{##ffbb71}{#1}");
+defineMacro("\\goldC", "\\textcolor{##ff9c39}{#1}");
+defineMacro("\\goldD", "\\textcolor{##e07d10}{#1}");
+defineMacro("\\goldE", "\\textcolor{##a75a05}{#1}");
+defineMacro("\\redA", "\\textcolor{##fca9a9}{#1}");
+defineMacro("\\redB", "\\textcolor{##ff8482}{#1}");
+defineMacro("\\redC", "\\textcolor{##f9685d}{#1}");
+defineMacro("\\redD", "\\textcolor{##e84d39}{#1}");
+defineMacro("\\redE", "\\textcolor{##bc2612}{#1}");
+defineMacro("\\maroonA", "\\textcolor{##ffbde0}{#1}");
+defineMacro("\\maroonB", "\\textcolor{##ff92c6}{#1}");
+defineMacro("\\maroonC", "\\textcolor{##ed5fa6}{#1}");
+defineMacro("\\maroonD", "\\textcolor{##ca337c}{#1}");
+defineMacro("\\maroonE", "\\textcolor{##9e034e}{#1}");
+defineMacro("\\purpleA", "\\textcolor{##ddd7ff}{#1}");
+defineMacro("\\purpleB", "\\textcolor{##c6b9fc}{#1}");
+defineMacro("\\purpleC", "\\textcolor{##aa87ff}{#1}");
+defineMacro("\\purpleD", "\\textcolor{##7854ab}{#1}");
+defineMacro("\\purpleE", "\\textcolor{##543b78}{#1}");
+defineMacro("\\mintA", "\\textcolor{##f5f9e8}{#1}");
+defineMacro("\\mintB", "\\textcolor{##edf2df}{#1}");
+defineMacro("\\mintC", "\\textcolor{##e0e5cc}{#1}");
+defineMacro("\\grayA", "\\textcolor{##f6f7f7}{#1}");
+defineMacro("\\grayB", "\\textcolor{##f0f1f2}{#1}");
+defineMacro("\\grayC", "\\textcolor{##e3e5e6}{#1}");
+defineMacro("\\grayD", "\\textcolor{##d6d8da}{#1}");
+defineMacro("\\grayE", "\\textcolor{##babec2}{#1}");
+defineMacro("\\grayF", "\\textcolor{##888d93}{#1}");
+defineMacro("\\grayG", "\\textcolor{##626569}{#1}");
+defineMacro("\\grayH", "\\textcolor{##3b3e40}{#1}");
+defineMacro("\\grayI", "\\textcolor{##21242c}{#1}");
+defineMacro("\\kaBlue", "\\textcolor{##314453}{#1}");
+defineMacro("\\kaGreen", "\\textcolor{##71B307}{#1}");
+// CONCATENATED MODULE: ./src/MacroExpander.js
+/**
+ * This file contains the “gullet” where macros are expanded
+ * until only non-macro tokens remain.
+ */
+
+
+
+
+
+
+
+// List of commands that act like macros but aren't defined as a macro,
+// function, or symbol.  Used in `isDefined`.
+var implicitCommands = {
+  "\\relax": true,
+  // MacroExpander.js
+  "^": true,
+  // Parser.js
+  "_": true,
+  // Parser.js
+  "\\limits": true,
+  // Parser.js
+  "\\nolimits": true // Parser.js
+
+};
+
+var MacroExpander_MacroExpander =
+/*#__PURE__*/
+function () {
+  function MacroExpander(input, settings, mode) {
+    this.settings = void 0;
+    this.expansionCount = void 0;
+    this.lexer = void 0;
+    this.macros = void 0;
+    this.stack = void 0;
+    this.mode = void 0;
+    this.settings = settings;
+    this.expansionCount = 0;
+    this.feed(input); // Make new global namespace
+
+    this.macros = new Namespace_Namespace(macros, settings.macros);
+    this.mode = mode;
+    this.stack = []; // contains tokens in REVERSE order
+  }
+  /**
+   * Feed a new input string to the same MacroExpander
+   * (with existing macros etc.).
+   */
+
+
+  var _proto = MacroExpander.prototype;
+
+  _proto.feed = function feed(input) {
+    this.lexer = new Lexer_Lexer(input, this.settings);
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+  ;
+
+  _proto.switchMode = function switchMode(newMode) {
+    this.mode = newMode;
+  }
+  /**
+   * Start a new group nesting within all namespaces.
+   */
+  ;
+
+  _proto.beginGroup = function beginGroup() {
+    this.macros.beginGroup();
+  }
+  /**
+   * End current group nesting within all namespaces.
+   */
+  ;
+
+  _proto.endGroup = function endGroup() {
+    this.macros.endGroup();
+  }
+  /**
+   * Returns the topmost token on the stack, without expanding it.
+   * Similar in behavior to TeX's `\futurelet`.
+   */
+  ;
+
+  _proto.future = function future() {
+    if (this.stack.length === 0) {
+      this.pushToken(this.lexer.lex());
+    }
+
+    return this.stack[this.stack.length - 1];
+  }
+  /**
+   * Remove and return the next unexpanded token.
+   */
+  ;
+
+  _proto.popToken = function popToken() {
+    this.future(); // ensure non-empty stack
+
+    return this.stack.pop();
+  }
+  /**
+   * Add a given token to the token stack.  In particular, this get be used
+   * to put back a token returned from one of the other methods.
+   */
+  ;
+
+  _proto.pushToken = function pushToken(token) {
+    this.stack.push(token);
+  }
+  /**
+   * Append an array of tokens to the token stack.
+   */
+  ;
+
+  _proto.pushTokens = function pushTokens(tokens) {
+    var _this$stack;
+
+    (_this$stack = this.stack).push.apply(_this$stack, tokens);
+  }
+  /**
+   * Consume all following space tokens, without expansion.
+   */
+  ;
+
+  _proto.consumeSpaces = function consumeSpaces() {
+    for (;;) {
+      var token = this.future();
+
+      if (token.text === " ") {
+        this.stack.pop();
+      } else {
+        break;
+      }
+    }
+  }
+  /**
+   * Consume the specified number of arguments from the token stream,
+   * and return the resulting array of arguments.
+   */
+  ;
+
+  _proto.consumeArgs = function consumeArgs(numArgs) {
+    var args = []; // obtain arguments, either single token or balanced {…} group
+
+    for (var i = 0; i < numArgs; ++i) {
+      this.consumeSpaces(); // ignore spaces before each argument
+
+      var startOfArg = this.popToken();
+
+      if (startOfArg.text === "{") {
+        var arg = [];
+        var depth = 1;
+
+        while (depth !== 0) {
+          var tok = this.popToken();
+          arg.push(tok);
+
+          if (tok.text === "{") {
+            ++depth;
+          } else if (tok.text === "}") {
+            --depth;
+          } else if (tok.text === "EOF") {
+            throw new src_ParseError("End of input in macro argument", startOfArg);
+          }
+        }
+
+        arg.pop(); // remove last }
+
+        arg.reverse(); // like above, to fit in with stack order
+
+        args[i] = arg;
+      } else if (startOfArg.text === "EOF") {
+        throw new src_ParseError("End of input expecting macro argument");
+      } else {
+        args[i] = [startOfArg];
+      }
+    }
+
+    return args;
+  }
+  /**
+   * Expand the next token only once if possible.
+   *
+   * If the token is expanded, the resulting tokens will be pushed onto
+   * the stack in reverse order and will be returned as an array,
+   * also in reverse order.
+   *
+   * If not, the next token will be returned without removing it
+   * from the stack.  This case can be detected by a `Token` return value
+   * instead of an `Array` return value.
+   *
+   * In either case, the next token will be on the top of the stack,
+   * or the stack will be empty.
+   *
+   * Used to implement `expandAfterFuture` and `expandNextToken`.
+   *
+   * At the moment, macro expansion doesn't handle delimited macros,
+   * i.e. things like those defined by \def\foo#1\end{…}.
+   * See the TeX book page 202ff. for details on how those should behave.
+   */
+  ;
+
+  _proto.expandOnce = function expandOnce() {
+    var topToken = this.popToken();
+    var name = topToken.text;
+
+    var expansion = this._getExpansion(name);
+
+    if (expansion == null) {
+      // mainly checking for undefined here
+      // Fully expanded
+      this.pushToken(topToken);
+      return topToken;
+    }
+
+    this.expansionCount++;
+
+    if (this.expansionCount > this.settings.maxExpand) {
+      throw new src_ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting");
+    }
+
+    var tokens = expansion.tokens;
+
+    if (expansion.numArgs) {
+      var args = this.consumeArgs(expansion.numArgs); // paste arguments in place of the placeholders
+
+      tokens = tokens.slice(); // make a shallow copy
+
+      for (var i = tokens.length - 1; i >= 0; --i) {
+        var tok = tokens[i];
+
+        if (tok.text === "#") {
+          if (i === 0) {
+            throw new src_ParseError("Incomplete placeholder at end of macro body", tok);
+          }
+
+          tok = tokens[--i]; // next token on stack
+
+          if (tok.text === "#") {
+            // ## → #
+            tokens.splice(i + 1, 1); // drop first #
+          } else if (/^[1-9]$/.test(tok.text)) {
+            var _tokens;
+
+            // replace the placeholder with the indicated argument
+            (_tokens = tokens).splice.apply(_tokens, [i, 2].concat(args[+tok.text - 1]));
+          } else {
+            throw new src_ParseError("Not a valid argument number", tok);
+          }
+        }
+      }
+    } // Concatenate expansion onto top of stack.
+
+
+    this.pushTokens(tokens);
+    return tokens;
+  }
+  /**
+   * Expand the next token only once (if possible), and return the resulting
+   * top token on the stack (without removing anything from the stack).
+   * Similar in behavior to TeX's `\expandafter\futurelet`.
+   * Equivalent to expandOnce() followed by future().
+   */
+  ;
+
+  _proto.expandAfterFuture = function expandAfterFuture() {
+    this.expandOnce();
+    return this.future();
+  }
+  /**
+   * Recursively expand first token, then return first non-expandable token.
+   */
+  ;
+
+  _proto.expandNextToken = function expandNextToken() {
+    for (;;) {
+      var expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token_Token) {
+        // \relax stops the expansion, but shouldn't get returned (a
+        // null return value couldn't get implemented as a function).
+        if (expanded.text === "\\relax") {
+          this.stack.pop();
+        } else {
+          return this.stack.pop(); // === expanded
+        }
+      }
+    } // Flow unable to figure out that this pathway is impossible.
+    // https://github.com/facebook/flow/issues/4808
+
+
+    throw new Error(); // eslint-disable-line no-unreachable
+  }
+  /**
+   * Fully expand the given macro name and return the resulting list of
+   * tokens, or return `undefined` if no such macro is defined.
+   */
+  ;
+
+  _proto.expandMacro = function expandMacro(name) {
+    if (!this.macros.get(name)) {
+      return undefined;
+    }
+
+    var output = [];
+    var oldStackLength = this.stack.length;
+    this.pushToken(new Token_Token(name));
+
+    while (this.stack.length > oldStackLength) {
+      var expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token_Token) {
+        output.push(this.stack.pop());
+      }
+    }
+
+    return output;
+  }
+  /**
+   * Fully expand the given macro name and return the result as a string,
+   * or return `undefined` if no such macro is defined.
+   */
+  ;
+
+  _proto.expandMacroAsText = function expandMacroAsText(name) {
+    var tokens = this.expandMacro(name);
+
+    if (tokens) {
+      return tokens.map(function (token) {
+        return token.text;
+      }).join("");
+    } else {
+      return tokens;
+    }
+  }
+  /**
+   * Returns the expanded macro as a reversed array of tokens and a macro
+   * argument count.  Or returns `null` if no such macro.
+   */
+  ;
+
+  _proto._getExpansion = function _getExpansion(name) {
+    var definition = this.macros.get(name);
+
+    if (definition == null) {
+      // mainly checking for undefined here
+      return definition;
+    }
+
+    var expansion = typeof definition === "function" ? definition(this) : definition;
+
+    if (typeof expansion === "string") {
+      var numArgs = 0;
+
+      if (expansion.indexOf("#") !== -1) {
+        var stripped = expansion.replace(/##/g, "");
+
+        while (stripped.indexOf("#" + (numArgs + 1)) !== -1) {
+          ++numArgs;
+        }
+      }
+
+      var bodyLexer = new Lexer_Lexer(expansion, this.settings);
+      var tokens = [];
+      var tok = bodyLexer.lex();
+
+      while (tok.text !== "EOF") {
+        tokens.push(tok);
+        tok = bodyLexer.lex();
+      }
+
+      tokens.reverse(); // to fit in with stack using push and pop
+
+      var expanded = {
+        tokens: tokens,
+        numArgs: numArgs
+      };
+      return expanded;
+    }
+
+    return expansion;
+  }
+  /**
+   * Determine whether a command is currently "defined" (has some
+   * functionality), meaning that it's a macro (in the current group),
+   * a function, a symbol, or one of the special commands listed in
+   * `implicitCommands`.
+   */
+  ;
+
+  _proto.isDefined = function isDefined(name) {
+    return this.macros.has(name) || src_functions.hasOwnProperty(name) || src_symbols.math.hasOwnProperty(name) || src_symbols.text.hasOwnProperty(name) || implicitCommands.hasOwnProperty(name);
+  };
+
+  return MacroExpander;
+}();
+
+
+// CONCATENATED MODULE: ./src/unicodeAccents.js
+// Mapping of Unicode accent characters to their LaTeX equivalent in text and
+// math mode (when they exist).
+/* harmony default export */ var unicodeAccents = ({
+  "\u0301": {
+    text: "\\'",
+    math: '\\acute'
+  },
+  "\u0300": {
+    text: '\\`',
+    math: '\\grave'
+  },
+  "\u0308": {
+    text: '\\"',
+    math: '\\ddot'
+  },
+  "\u0303": {
+    text: '\\~',
+    math: '\\tilde'
+  },
+  "\u0304": {
+    text: '\\=',
+    math: '\\bar'
+  },
+  "\u0306": {
+    text: "\\u",
+    math: '\\breve'
+  },
+  "\u030C": {
+    text: '\\v',
+    math: '\\check'
+  },
+  "\u0302": {
+    text: '\\^',
+    math: '\\hat'
+  },
+  "\u0307": {
+    text: '\\.',
+    math: '\\dot'
+  },
+  "\u030A": {
+    text: '\\r',
+    math: '\\mathring'
+  },
+  "\u030B": {
+    text: '\\H'
+  }
+});
+// CONCATENATED MODULE: ./src/unicodeSymbols.js
+// This file is GENERATED by unicodeMake.js. DO NOT MODIFY.
+/* harmony default export */ var unicodeSymbols = ({
+  "\xE1": "a\u0301",
+  // á = \'{a}
+  "\xE0": "a\u0300",
+  // à = \`{a}
+  "\xE4": "a\u0308",
+  // ä = \"{a}
+  "\u01DF": "a\u0308\u0304",
+  // ǟ = \"\={a}
+  "\xE3": "a\u0303",
+  // ã = \~{a}
+  "\u0101": "a\u0304",
+  // ā = \={a}
+  "\u0103": "a\u0306",
+  // ă = \u{a}
+  "\u1EAF": "a\u0306\u0301",
+  // ắ = \u\'{a}
+  "\u1EB1": "a\u0306\u0300",
+  // ằ = \u\`{a}
+  "\u1EB5": "a\u0306\u0303",
+  // ẵ = \u\~{a}
+  "\u01CE": "a\u030C",
+  // ǎ = \v{a}
+  "\xE2": "a\u0302",
+  // â = \^{a}
+  "\u1EA5": "a\u0302\u0301",
+  // ấ = \^\'{a}
+  "\u1EA7": "a\u0302\u0300",
+  // ầ = \^\`{a}
+  "\u1EAB": "a\u0302\u0303",
+  // ẫ = \^\~{a}
+  "\u0227": "a\u0307",
+  // ȧ = \.{a}
+  "\u01E1": "a\u0307\u0304",
+  // ǡ = \.\={a}
+  "\xE5": "a\u030A",
+  // å = \r{a}
+  "\u01FB": "a\u030A\u0301",
+  // ǻ = \r\'{a}
+  "\u1E03": "b\u0307",
+  // ḃ = \.{b}
+  "\u0107": "c\u0301",
+  // ć = \'{c}
+  "\u010D": "c\u030C",
+  // č = \v{c}
+  "\u0109": "c\u0302",
+  // ĉ = \^{c}
+  "\u010B": "c\u0307",
+  // ċ = \.{c}
+  "\u010F": "d\u030C",
+  // ď = \v{d}
+  "\u1E0B": "d\u0307",
+  // ḋ = \.{d}
+  "\xE9": "e\u0301",
+  // é = \'{e}
+  "\xE8": "e\u0300",
+  // è = \`{e}
+  "\xEB": "e\u0308",
+  // ë = \"{e}
+  "\u1EBD": "e\u0303",
+  // ẽ = \~{e}
+  "\u0113": "e\u0304",
+  // ē = \={e}
+  "\u1E17": "e\u0304\u0301",
+  // ḗ = \=\'{e}
+  "\u1E15": "e\u0304\u0300",
+  // ḕ = \=\`{e}
+  "\u0115": "e\u0306",
+  // ĕ = \u{e}
+  "\u011B": "e\u030C",
+  // ě = \v{e}
+  "\xEA": "e\u0302",
+  // ê = \^{e}
+  "\u1EBF": "e\u0302\u0301",
+  // ế = \^\'{e}
+  "\u1EC1": "e\u0302\u0300",
+  // ề = \^\`{e}
+  "\u1EC5": "e\u0302\u0303",
+  // ễ = \^\~{e}
+  "\u0117": "e\u0307",
+  // ė = \.{e}
+  "\u1E1F": "f\u0307",
+  // ḟ = \.{f}
+  "\u01F5": "g\u0301",
+  // ǵ = \'{g}
+  "\u1E21": "g\u0304",
+  // ḡ = \={g}
+  "\u011F": "g\u0306",
+  // ğ = \u{g}
+  "\u01E7": "g\u030C",
+  // ǧ = \v{g}
+  "\u011D": "g\u0302",
+  // ĝ = \^{g}
+  "\u0121": "g\u0307",
+  // ġ = \.{g}
+  "\u1E27": "h\u0308",
+  // ḧ = \"{h}
+  "\u021F": "h\u030C",
+  // ȟ = \v{h}
+  "\u0125": "h\u0302",
+  // ĥ = \^{h}
+  "\u1E23": "h\u0307",
+  // ḣ = \.{h}
+  "\xED": "i\u0301",
+  // í = \'{i}
+  "\xEC": "i\u0300",
+  // ì = \`{i}
+  "\xEF": "i\u0308",
+  // ï = \"{i}
+  "\u1E2F": "i\u0308\u0301",
+  // ḯ = \"\'{i}
+  "\u0129": "i\u0303",
+  // ĩ = \~{i}
+  "\u012B": "i\u0304",
+  // ī = \={i}
+  "\u012D": "i\u0306",
+  // ĭ = \u{i}
+  "\u01D0": "i\u030C",
+  // ǐ = \v{i}
+  "\xEE": "i\u0302",
+  // î = \^{i}
+  "\u01F0": "j\u030C",
+  // ǰ = \v{j}
+  "\u0135": "j\u0302",
+  // ĵ = \^{j}
+  "\u1E31": "k\u0301",
+  // ḱ = \'{k}
+  "\u01E9": "k\u030C",
+  // ǩ = \v{k}
+  "\u013A": "l\u0301",
+  // ĺ = \'{l}
+  "\u013E": "l\u030C",
+  // ľ = \v{l}
+  "\u1E3F": "m\u0301",
+  // ḿ = \'{m}
+  "\u1E41": "m\u0307",
+  // ṁ = \.{m}
+  "\u0144": "n\u0301",
+  // ń = \'{n}
+  "\u01F9": "n\u0300",
+  // ǹ = \`{n}
+  "\xF1": "n\u0303",
+  // ñ = \~{n}
+  "\u0148": "n\u030C",
+  // ň = \v{n}
+  "\u1E45": "n\u0307",
+  // ṅ = \.{n}
+  "\xF3": "o\u0301",
+  // ó = \'{o}
+  "\xF2": "o\u0300",
+  // ò = \`{o}
+  "\xF6": "o\u0308",
+  // ö = \"{o}
+  "\u022B": "o\u0308\u0304",
+  // ȫ = \"\={o}
+  "\xF5": "o\u0303",
+  // õ = \~{o}
+  "\u1E4D": "o\u0303\u0301",
+  // ṍ = \~\'{o}
+  "\u1E4F": "o\u0303\u0308",
+  // ṏ = \~\"{o}
+  "\u022D": "o\u0303\u0304",
+  // ȭ = \~\={o}
+  "\u014D": "o\u0304",
+  // ō = \={o}
+  "\u1E53": "o\u0304\u0301",
+  // ṓ = \=\'{o}
+  "\u1E51": "o\u0304\u0300",
+  // ṑ = \=\`{o}
+  "\u014F": "o\u0306",
+  // ŏ = \u{o}
+  "\u01D2": "o\u030C",
+  // ǒ = \v{o}
+  "\xF4": "o\u0302",
+  // ô = \^{o}
+  "\u1ED1": "o\u0302\u0301",
+  // ố = \^\'{o}
+  "\u1ED3": "o\u0302\u0300",
+  // ồ = \^\`{o}
+  "\u1ED7": "o\u0302\u0303",
+  // ỗ = \^\~{o}
+  "\u022F": "o\u0307",
+  // ȯ = \.{o}
+  "\u0231": "o\u0307\u0304",
+  // ȱ = \.\={o}
+  "\u0151": "o\u030B",
+  // ő = \H{o}
+  "\u1E55": "p\u0301",
+  // ṕ = \'{p}
+  "\u1E57": "p\u0307",
+  // ṗ = \.{p}
+  "\u0155": "r\u0301",
+  // ŕ = \'{r}
+  "\u0159": "r\u030C",
+  // ř = \v{r}
+  "\u1E59": "r\u0307",
+  // ṙ = \.{r}
+  "\u015B": "s\u0301",
+  // ś = \'{s}
+  "\u1E65": "s\u0301\u0307",
+  // ṥ = \'\.{s}
+  "\u0161": "s\u030C",
+  // š = \v{s}
+  "\u1E67": "s\u030C\u0307",
+  // ṧ = \v\.{s}
+  "\u015D": "s\u0302",
+  // ŝ = \^{s}
+  "\u1E61": "s\u0307",
+  // ṡ = \.{s}
+  "\u1E97": "t\u0308",
+  // ẗ = \"{t}
+  "\u0165": "t\u030C",
+  // ť = \v{t}
+  "\u1E6B": "t\u0307",
+  // ṫ = \.{t}
+  "\xFA": "u\u0301",
+  // ú = \'{u}
+  "\xF9": "u\u0300",
+  // ù = \`{u}
+  "\xFC": "u\u0308",
+  // ü = \"{u}
+  "\u01D8": "u\u0308\u0301",
+  // ǘ = \"\'{u}
+  "\u01DC": "u\u0308\u0300",
+  // ǜ = \"\`{u}
+  "\u01D6": "u\u0308\u0304",
+  // ǖ = \"\={u}
+  "\u01DA": "u\u0308\u030C",
+  // ǚ = \"\v{u}
+  "\u0169": "u\u0303",
+  // ũ = \~{u}
+  "\u1E79": "u\u0303\u0301",
+  // ṹ = \~\'{u}
+  "\u016B": "u\u0304",
+  // ū = \={u}
+  "\u1E7B": "u\u0304\u0308",
+  // ṻ = \=\"{u}
+  "\u016D": "u\u0306",
+  // ŭ = \u{u}
+  "\u01D4": "u\u030C",
+  // ǔ = \v{u}
+  "\xFB": "u\u0302",
+  // û = \^{u}
+  "\u016F": "u\u030A",
+  // ů = \r{u}
+  "\u0171": "u\u030B",
+  // ű = \H{u}
+  "\u1E7D": "v\u0303",
+  // ṽ = \~{v}
+  "\u1E83": "w\u0301",
+  // ẃ = \'{w}
+  "\u1E81": "w\u0300",
+  // ẁ = \`{w}
+  "\u1E85": "w\u0308",
+  // ẅ = \"{w}
+  "\u0175": "w\u0302",
+  // ŵ = \^{w}
+  "\u1E87": "w\u0307",
+  // ẇ = \.{w}
+  "\u1E98": "w\u030A",
+  // ẘ = \r{w}
+  "\u1E8D": "x\u0308",
+  // ẍ = \"{x}
+  "\u1E8B": "x\u0307",
+  // ẋ = \.{x}
+  "\xFD": "y\u0301",
+  // ý = \'{y}
+  "\u1EF3": "y\u0300",
+  // ỳ = \`{y}
+  "\xFF": "y\u0308",
+  // ÿ = \"{y}
+  "\u1EF9": "y\u0303",
+  // ỹ = \~{y}
+  "\u0233": "y\u0304",
+  // ȳ = \={y}
+  "\u0177": "y\u0302",
+  // ŷ = \^{y}
+  "\u1E8F": "y\u0307",
+  // ẏ = \.{y}
+  "\u1E99": "y\u030A",
+  // ẙ = \r{y}
+  "\u017A": "z\u0301",
+  // ź = \'{z}
+  "\u017E": "z\u030C",
+  // ž = \v{z}
+  "\u1E91": "z\u0302",
+  // ẑ = \^{z}
+  "\u017C": "z\u0307",
+  // ż = \.{z}
+  "\xC1": "A\u0301",
+  // Á = \'{A}
+  "\xC0": "A\u0300",
+  // À = \`{A}
+  "\xC4": "A\u0308",
+  // Ä = \"{A}
+  "\u01DE": "A\u0308\u0304",
+  // Ǟ = \"\={A}
+  "\xC3": "A\u0303",
+  // Ã = \~{A}
+  "\u0100": "A\u0304",
+  // Ā = \={A}
+  "\u0102": "A\u0306",
+  // Ă = \u{A}
+  "\u1EAE": "A\u0306\u0301",
+  // Ắ = \u\'{A}
+  "\u1EB0": "A\u0306\u0300",
+  // Ằ = \u\`{A}
+  "\u1EB4": "A\u0306\u0303",
+  // Ẵ = \u\~{A}
+  "\u01CD": "A\u030C",
+  // Ǎ = \v{A}
+  "\xC2": "A\u0302",
+  // Â = \^{A}
+  "\u1EA4": "A\u0302\u0301",
+  // Ấ = \^\'{A}
+  "\u1EA6": "A\u0302\u0300",
+  // Ầ = \^\`{A}
+  "\u1EAA": "A\u0302\u0303",
+  // Ẫ = \^\~{A}
+  "\u0226": "A\u0307",
+  // Ȧ = \.{A}
+  "\u01E0": "A\u0307\u0304",
+  // Ǡ = \.\={A}
+  "\xC5": "A\u030A",
+  // Å = \r{A}
+  "\u01FA": "A\u030A\u0301",
+  // Ǻ = \r\'{A}
+  "\u1E02": "B\u0307",
+  // Ḃ = \.{B}
+  "\u0106": "C\u0301",
+  // Ć = \'{C}
+  "\u010C": "C\u030C",
+  // Č = \v{C}
+  "\u0108": "C\u0302",
+  // Ĉ = \^{C}
+  "\u010A": "C\u0307",
+  // Ċ = \.{C}
+  "\u010E": "D\u030C",
+  // Ď = \v{D}
+  "\u1E0A": "D\u0307",
+  // Ḋ = \.{D}
+  "\xC9": "E\u0301",
+  // É = \'{E}
+  "\xC8": "E\u0300",
+  // È = \`{E}
+  "\xCB": "E\u0308",
+  // Ë = \"{E}
+  "\u1EBC": "E\u0303",
+  // Ẽ = \~{E}
+  "\u0112": "E\u0304",
+  // Ē = \={E}
+  "\u1E16": "E\u0304\u0301",
+  // Ḗ = \=\'{E}
+  "\u1E14": "E\u0304\u0300",
+  // Ḕ = \=\`{E}
+  "\u0114": "E\u0306",
+  // Ĕ = \u{E}
+  "\u011A": "E\u030C",
+  // Ě = \v{E}
+  "\xCA": "E\u0302",
+  // Ê = \^{E}
+  "\u1EBE": "E\u0302\u0301",
+  // Ế = \^\'{E}
+  "\u1EC0": "E\u0302\u0300",
+  // Ề = \^\`{E}
+  "\u1EC4": "E\u0302\u0303",
+  // Ễ = \^\~{E}
+  "\u0116": "E\u0307",
+  // Ė = \.{E}
+  "\u1E1E": "F\u0307",
+  // Ḟ = \.{F}
+  "\u01F4": "G\u0301",
+  // Ǵ = \'{G}
+  "\u1E20": "G\u0304",
+  // Ḡ = \={G}
+  "\u011E": "G\u0306",
+  // Ğ = \u{G}
+  "\u01E6": "G\u030C",
+  // Ǧ = \v{G}
+  "\u011C": "G\u0302",
+  // Ĝ = \^{G}
+  "\u0120": "G\u0307",
+  // Ġ = \.{G}
+  "\u1E26": "H\u0308",
+  // Ḧ = \"{H}
+  "\u021E": "H\u030C",
+  // Ȟ = \v{H}
+  "\u0124": "H\u0302",
+  // Ĥ = \^{H}
+  "\u1E22": "H\u0307",
+  // Ḣ = \.{H}
+  "\xCD": "I\u0301",
+  // Í = \'{I}
+  "\xCC": "I\u0300",
+  // Ì = \`{I}
+  "\xCF": "I\u0308",
+  // Ï = \"{I}
+  "\u1E2E": "I\u0308\u0301",
+  // Ḯ = \"\'{I}
+  "\u0128": "I\u0303",
+  // Ĩ = \~{I}
+  "\u012A": "I\u0304",
+  // Ī = \={I}
+  "\u012C": "I\u0306",
+  // Ĭ = \u{I}
+  "\u01CF": "I\u030C",
+  // Ǐ = \v{I}
+  "\xCE": "I\u0302",
+  // Î = \^{I}
+  "\u0130": "I\u0307",
+  // İ = \.{I}
+  "\u0134": "J\u0302",
+  // Ĵ = \^{J}
+  "\u1E30": "K\u0301",
+  // Ḱ = \'{K}
+  "\u01E8": "K\u030C",
+  // Ǩ = \v{K}
+  "\u0139": "L\u0301",
+  // Ĺ = \'{L}
+  "\u013D": "L\u030C",
+  // Ľ = \v{L}
+  "\u1E3E": "M\u0301",
+  // Ḿ = \'{M}
+  "\u1E40": "M\u0307",
+  // Ṁ = \.{M}
+  "\u0143": "N\u0301",
+  // Ń = \'{N}
+  "\u01F8": "N\u0300",
+  // Ǹ = \`{N}
+  "\xD1": "N\u0303",
+  // Ñ = \~{N}
+  "\u0147": "N\u030C",
+  // Ň = \v{N}
+  "\u1E44": "N\u0307",
+  // Ṅ = \.{N}
+  "\xD3": "O\u0301",
+  // Ó = \'{O}
+  "\xD2": "O\u0300",
+  // Ò = \`{O}
+  "\xD6": "O\u0308",
+  // Ö = \"{O}
+  "\u022A": "O\u0308\u0304",
+  // Ȫ = \"\={O}
+  "\xD5": "O\u0303",
+  // Õ = \~{O}
+  "\u1E4C": "O\u0303\u0301",
+  // Ṍ = \~\'{O}
+  "\u1E4E": "O\u0303\u0308",
+  // Ṏ = \~\"{O}
+  "\u022C": "O\u0303\u0304",
+  // Ȭ = \~\={O}
+  "\u014C": "O\u0304",
+  // Ō = \={O}
+  "\u1E52": "O\u0304\u0301",
+  // Ṓ = \=\'{O}
+  "\u1E50": "O\u0304\u0300",
+  // Ṑ = \=\`{O}
+  "\u014E": "O\u0306",
+  // Ŏ = \u{O}
+  "\u01D1": "O\u030C",
+  // Ǒ = \v{O}
+  "\xD4": "O\u0302",
+  // Ô = \^{O}
+  "\u1ED0": "O\u0302\u0301",
+  // Ố = \^\'{O}
+  "\u1ED2": "O\u0302\u0300",
+  // Ồ = \^\`{O}
+  "\u1ED6": "O\u0302\u0303",
+  // Ỗ = \^\~{O}
+  "\u022E": "O\u0307",
+  // Ȯ = \.{O}
+  "\u0230": "O\u0307\u0304",
+  // Ȱ = \.\={O}
+  "\u0150": "O\u030B",
+  // Ő = \H{O}
+  "\u1E54": "P\u0301",
+  // Ṕ = \'{P}
+  "\u1E56": "P\u0307",
+  // Ṗ = \.{P}
+  "\u0154": "R\u0301",
+  // Ŕ = \'{R}
+  "\u0158": "R\u030C",
+  // Ř = \v{R}
+  "\u1E58": "R\u0307",
+  // Ṙ = \.{R}
+  "\u015A": "S\u0301",
+  // Ś = \'{S}
+  "\u1E64": "S\u0301\u0307",
+  // Ṥ = \'\.{S}
+  "\u0160": "S\u030C",
+  // Š = \v{S}
+  "\u1E66": "S\u030C\u0307",
+  // Ṧ = \v\.{S}
+  "\u015C": "S\u0302",
+  // Ŝ = \^{S}
+  "\u1E60": "S\u0307",
+  // Ṡ = \.{S}
+  "\u0164": "T\u030C",
+  // Ť = \v{T}
+  "\u1E6A": "T\u0307",
+  // Ṫ = \.{T}
+  "\xDA": "U\u0301",
+  // Ú = \'{U}
+  "\xD9": "U\u0300",
+  // Ù = \`{U}
+  "\xDC": "U\u0308",
+  // Ü = \"{U}
+  "\u01D7": "U\u0308\u0301",
+  // Ǘ = \"\'{U}
+  "\u01DB": "U\u0308\u0300",
+  // Ǜ = \"\`{U}
+  "\u01D5": "U\u0308\u0304",
+  // Ǖ = \"\={U}
+  "\u01D9": "U\u0308\u030C",
+  // Ǚ = \"\v{U}
+  "\u0168": "U\u0303",
+  // Ũ = \~{U}
+  "\u1E78": "U\u0303\u0301",
+  // Ṹ = \~\'{U}
+  "\u016A": "U\u0304",
+  // Ū = \={U}
+  "\u1E7A": "U\u0304\u0308",
+  // Ṻ = \=\"{U}
+  "\u016C": "U\u0306",
+  // Ŭ = \u{U}
+  "\u01D3": "U\u030C",
+  // Ǔ = \v{U}
+  "\xDB": "U\u0302",
+  // Û = \^{U}
+  "\u016E": "U\u030A",
+  // Ů = \r{U}
+  "\u0170": "U\u030B",
+  // Ű = \H{U}
+  "\u1E7C": "V\u0303",
+  // Ṽ = \~{V}
+  "\u1E82": "W\u0301",
+  // Ẃ = \'{W}
+  "\u1E80": "W\u0300",
+  // Ẁ = \`{W}
+  "\u1E84": "W\u0308",
+  // Ẅ = \"{W}
+  "\u0174": "W\u0302",
+  // Ŵ = \^{W}
+  "\u1E86": "W\u0307",
+  // Ẇ = \.{W}
+  "\u1E8C": "X\u0308",
+  // Ẍ = \"{X}
+  "\u1E8A": "X\u0307",
+  // Ẋ = \.{X}
+  "\xDD": "Y\u0301",
+  // Ý = \'{Y}
+  "\u1EF2": "Y\u0300",
+  // Ỳ = \`{Y}
+  "\u0178": "Y\u0308",
+  // Ÿ = \"{Y}
+  "\u1EF8": "Y\u0303",
+  // Ỹ = \~{Y}
+  "\u0232": "Y\u0304",
+  // Ȳ = \={Y}
+  "\u0176": "Y\u0302",
+  // Ŷ = \^{Y}
+  "\u1E8E": "Y\u0307",
+  // Ẏ = \.{Y}
+  "\u0179": "Z\u0301",
+  // Ź = \'{Z}
+  "\u017D": "Z\u030C",
+  // Ž = \v{Z}
+  "\u1E90": "Z\u0302",
+  // Ẑ = \^{Z}
+  "\u017B": "Z\u0307",
+  // Ż = \.{Z}
+  "\u03AC": "\u03B1\u0301",
+  // ά = \'{α}
+  "\u1F70": "\u03B1\u0300",
+  // ὰ = \`{α}
+  "\u1FB1": "\u03B1\u0304",
+  // ᾱ = \={α}
+  "\u1FB0": "\u03B1\u0306",
+  // ᾰ = \u{α}
+  "\u03AD": "\u03B5\u0301",
+  // έ = \'{ε}
+  "\u1F72": "\u03B5\u0300",
+  // ὲ = \`{ε}
+  "\u03AE": "\u03B7\u0301",
+  // ή = \'{η}
+  "\u1F74": "\u03B7\u0300",
+  // ὴ = \`{η}
+  "\u03AF": "\u03B9\u0301",
+  // ί = \'{ι}
+  "\u1F76": "\u03B9\u0300",
+  // ὶ = \`{ι}
+  "\u03CA": "\u03B9\u0308",
+  // ϊ = \"{ι}
+  "\u0390": "\u03B9\u0308\u0301",
+  // ΐ = \"\'{ι}
+  "\u1FD2": "\u03B9\u0308\u0300",
+  // ῒ = \"\`{ι}
+  "\u1FD1": "\u03B9\u0304",
+  // ῑ = \={ι}
+  "\u1FD0": "\u03B9\u0306",
+  // ῐ = \u{ι}
+  "\u03CC": "\u03BF\u0301",
+  // ό = \'{ο}
+  "\u1F78": "\u03BF\u0300",
+  // ὸ = \`{ο}
+  "\u03CD": "\u03C5\u0301",
+  // ύ = \'{υ}
+  "\u1F7A": "\u03C5\u0300",
+  // ὺ = \`{υ}
+  "\u03CB": "\u03C5\u0308",
+  // ϋ = \"{υ}
+  "\u03B0": "\u03C5\u0308\u0301",
+  // ΰ = \"\'{υ}
+  "\u1FE2": "\u03C5\u0308\u0300",
+  // ῢ = \"\`{υ}
+  "\u1FE1": "\u03C5\u0304",
+  // ῡ = \={υ}
+  "\u1FE0": "\u03C5\u0306",
+  // ῠ = \u{υ}
+  "\u03CE": "\u03C9\u0301",
+  // ώ = \'{ω}
+  "\u1F7C": "\u03C9\u0300",
+  // ὼ = \`{ω}
+  "\u038E": "\u03A5\u0301",
+  // Ύ = \'{Υ}
+  "\u1FEA": "\u03A5\u0300",
+  // Ὺ = \`{Υ}
+  "\u03AB": "\u03A5\u0308",
+  // Ϋ = \"{Υ}
+  "\u1FE9": "\u03A5\u0304",
+  // Ῡ = \={Υ}
+  "\u1FE8": "\u03A5\u0306",
+  // Ῠ = \u{Υ}
+  "\u038F": "\u03A9\u0301",
+  // Ώ = \'{Ω}
+  "\u1FFA": "\u03A9\u0300" // Ὼ = \`{Ω}
+
+});
+// CONCATENATED MODULE: ./src/Parser.js
+/* eslint no-constant-condition:0 */
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+/**
+ * This file contains the parser used to parse out a TeX expression from the
+ * input. Since TeX isn't context-free, standard parsers don't work particularly
+ * well.
+ *
+ * The strategy of this parser is as such:
+ *
+ * The main functions (the `.parse...` ones) take a position in the current
+ * parse string to parse tokens from. The lexer (found in Lexer.js, stored at
+ * this.gullet.lexer) also supports pulling out tokens at arbitrary places. When
+ * individual tokens are needed at a position, the lexer is called to pull out a
+ * token, which is then used.
+ *
+ * The parser has a property called "mode" indicating the mode that
+ * the parser is currently in. Currently it has to be one of "math" or
+ * "text", which denotes whether the current environment is a math-y
+ * one or a text-y one (e.g. inside \text). Currently, this serves to
+ * limit the functions which can be used in text mode.
+ *
+ * The main functions then return an object which contains the useful data that
+ * was parsed at its given point, and a new position at the end of the parsed
+ * data. The main functions can call each other and continue the parsing by
+ * using the returned position as a new starting point.
+ *
+ * There are also extra `.handle...` functions, which pull out some reused
+ * functionality into self-contained functions.
+ *
+ * The functions return ParseNodes.
+ */
+var Parser_Parser =
+/*#__PURE__*/
+function () {
+  function Parser(input, settings) {
+    this.mode = void 0;
+    this.gullet = void 0;
+    this.settings = void 0;
+    this.leftrightDepth = void 0;
+    this.nextToken = void 0;
+    // Start in math mode
+    this.mode = "math"; // Create a new macro expander (gullet) and (indirectly via that) also a
+    // new lexer (mouth) for this parser (stomach, in the language of TeX)
+
+    this.gullet = new MacroExpander_MacroExpander(input, settings, this.mode); // Store the settings for use in parsing
+
+    this.settings = settings; // Count leftright depth (for \middle errors)
+
+    this.leftrightDepth = 0;
+  }
+  /**
+   * Checks a result to make sure it has the right type, and throws an
+   * appropriate error otherwise.
+   */
+
+
+  var _proto = Parser.prototype;
+
+  _proto.expect = function expect(text, consume) {
+    if (consume === void 0) {
+      consume = true;
+    }
+
+    if (this.fetch().text !== text) {
+      throw new src_ParseError("Expected '" + text + "', got '" + this.fetch().text + "'", this.fetch());
+    }
+
+    if (consume) {
+      this.consume();
+    }
+  }
+  /**
+   * Discards the current lookahead token, considering it consumed.
+   */
+  ;
+
+  _proto.consume = function consume() {
+    this.nextToken = null;
+  }
+  /**
+   * Return the current lookahead token, or if there isn't one (at the
+   * beginning, or if the previous lookahead token was consume()d),
+   * fetch the next token as the new lookahead token and return it.
+   */
+  ;
+
+  _proto.fetch = function fetch() {
+    if (this.nextToken == null) {
+      this.nextToken = this.gullet.expandNextToken();
+    }
+
+    return this.nextToken;
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+  ;
+
+  _proto.switchMode = function switchMode(newMode) {
+    this.mode = newMode;
+    this.gullet.switchMode(newMode);
+  }
+  /**
+   * Main parsing function, which parses an entire input.
+   */
+  ;
+
+  _proto.parse = function parse() {
+    // Create a group namespace for the math expression.
+    // (LaTeX creates a new group for every $...$, $$...$$, \[...\].)
+    this.gullet.beginGroup(); // Use old \color behavior (same as LaTeX's \textcolor) if requested.
+    // We do this within the group for the math expression, so it doesn't
+    // pollute settings.macros.
+
+    if (this.settings.colorIsTextColor) {
+      this.gullet.macros.set("\\color", "\\textcolor");
+    } // Try to parse the input
+
+
+    var parse = this.parseExpression(false); // If we succeeded, make sure there's an EOF at the end
+
+    this.expect("EOF"); // End the group namespace for the expression
+
+    this.gullet.endGroup();
+    return parse;
+  };
+
+  _proto.parseExpression = function parseExpression(breakOnInfix, breakOnTokenText) {
+    var body = []; // Keep adding atoms to the body until we can't parse any more atoms (either
+    // we reached the end, a }, or a \right)
+
+    while (true) {
+      // Ignore spaces in math mode
+      if (this.mode === "math") {
+        this.consumeSpaces();
+      }
+
+      var lex = this.fetch();
+
+      if (Parser.endOfExpression.indexOf(lex.text) !== -1) {
+        break;
+      }
+
+      if (breakOnTokenText && lex.text === breakOnTokenText) {
+        break;
+      }
+
+      if (breakOnInfix && src_functions[lex.text] && src_functions[lex.text].infix) {
+        break;
+      }
+
+      var atom = this.parseAtom(breakOnTokenText);
+
+      if (!atom) {
+        break;
+      }
+
+      body.push(atom);
+    }
+
+    if (this.mode === "text") {
+      this.formLigatures(body);
+    }
+
+    return this.handleInfixNodes(body);
+  }
+  /**
+   * Rewrites infix operators such as \over with corresponding commands such
+   * as \frac.
+   *
+   * There can only be one infix operator per group.  If there's more than one
+   * then the expression is ambiguous.  This can be resolved by adding {}.
+   */
+  ;
+
+  _proto.handleInfixNodes = function handleInfixNodes(body) {
+    var overIndex = -1;
+    var funcName;
+
+    for (var i = 0; i < body.length; i++) {
+      var node = checkNodeType(body[i], "infix");
+
+      if (node) {
+        if (overIndex !== -1) {
+          throw new src_ParseError("only one infix operator per group", node.token);
+        }
+
+        overIndex = i;
+        funcName = node.replaceWith;
+      }
+    }
+
+    if (overIndex !== -1 && funcName) {
+      var numerNode;
+      var denomNode;
+      var numerBody = body.slice(0, overIndex);
+      var denomBody = body.slice(overIndex + 1);
+
+      if (numerBody.length === 1 && numerBody[0].type === "ordgroup") {
+        numerNode = numerBody[0];
+      } else {
+        numerNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: numerBody
+        };
+      }
+
+      if (denomBody.length === 1 && denomBody[0].type === "ordgroup") {
+        denomNode = denomBody[0];
+      } else {
+        denomNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: denomBody
+        };
+      }
+
+      var _node;
+
+      if (funcName === "\\\\abovefrac") {
+        _node = this.callFunction(funcName, [numerNode, body[overIndex], denomNode], []);
+      } else {
+        _node = this.callFunction(funcName, [numerNode, denomNode], []);
+      }
+
+      return [_node];
+    } else {
+      return body;
+    }
+  } // The greediness of a superscript or subscript
+  ;
+
+  /**
+   * Handle a subscript or superscript with nice errors.
+   */
+  _proto.handleSupSubscript = function handleSupSubscript(name) {
+    var symbolToken = this.fetch();
+    var symbol = symbolToken.text;
+    this.consume();
+    var group = this.parseGroup(name, false, Parser.SUPSUB_GREEDINESS, undefined, undefined, true); // ignore spaces before sup/subscript argument
+
+    if (!group) {
+      throw new src_ParseError("Expected group after '" + symbol + "'", symbolToken);
+    }
+
+    return group;
+  }
+  /**
+   * Converts the textual input of an unsupported command into a text node
+   * contained within a color node whose color is determined by errorColor
+   */
+  ;
+
+  _proto.formatUnsupportedCmd = function formatUnsupportedCmd(text) {
+    var textordArray = [];
+
+    for (var i = 0; i < text.length; i++) {
+      textordArray.push({
+        type: "textord",
+        mode: "text",
+        text: text[i]
+      });
+    }
+
+    var textNode = {
+      type: "text",
+      mode: this.mode,
+      body: textordArray
+    };
+    var colorNode = {
+      type: "color",
+      mode: this.mode,
+      color: this.settings.errorColor,
+      body: [textNode]
+    };
+    return colorNode;
+  }
+  /**
+   * Parses a group with optional super/subscripts.
+   */
+  ;
+
+  _proto.parseAtom = function parseAtom(breakOnTokenText) {
+    // The body of an atom is an implicit group, so that things like
+    // \left(x\right)^2 work correctly.
+    var base = this.parseGroup("atom", false, null, breakOnTokenText); // In text mode, we don't have superscripts or subscripts
+
+    if (this.mode === "text") {
+      return base;
+    } // Note that base may be empty (i.e. null) at this point.
+
+
+    var superscript;
+    var subscript;
+
+    while (true) {
+      // Guaranteed in math mode, so eat any spaces first.
+      this.consumeSpaces(); // Lex the first token
+
+      var lex = this.fetch();
+
+      if (lex.text === "\\limits" || lex.text === "\\nolimits") {
+        // We got a limit control
+        var opNode = checkNodeType(base, "op");
+
+        if (opNode) {
+          var limits = lex.text === "\\limits";
+          opNode.limits = limits;
+          opNode.alwaysHandleSupSub = true;
+        } else {
+          opNode = checkNodeType(base, "operatorname");
+
+          if (opNode && opNode.alwaysHandleSupSub) {
+            var _limits = lex.text === "\\limits";
+
+            opNode.limits = _limits;
+          } else {
+            throw new src_ParseError("Limit controls must follow a math operator", lex);
+          }
+        }
+
+        this.consume();
+      } else if (lex.text === "^") {
+        // We got a superscript start
+        if (superscript) {
+          throw new src_ParseError("Double superscript", lex);
+        }
+
+        superscript = this.handleSupSubscript("superscript");
+      } else if (lex.text === "_") {
+        // We got a subscript start
+        if (subscript) {
+          throw new src_ParseError("Double subscript", lex);
+        }
+
+        subscript = this.handleSupSubscript("subscript");
+      } else if (lex.text === "'") {
+        // We got a prime
+        if (superscript) {
+          throw new src_ParseError("Double superscript", lex);
+        }
+
+        var prime = {
+          type: "textord",
+          mode: this.mode,
+          text: "\\prime"
+        }; // Many primes can be grouped together, so we handle this here
+
+        var primes = [prime];
+        this.consume(); // Keep lexing tokens until we get something that's not a prime
+
+        while (this.fetch().text === "'") {
+          // For each one, add another prime to the list
+          primes.push(prime);
+          this.consume();
+        } // If there's a superscript following the primes, combine that
+        // superscript in with the primes.
+
+
+        if (this.fetch().text === "^") {
+          primes.push(this.handleSupSubscript("superscript"));
+        } // Put everything into an ordgroup as the superscript
+
+
+        superscript = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: primes
+        };
+      } else {
+        // If it wasn't ^, _, or ', stop parsing super/subscripts
+        break;
+      }
+    } // Base must be set if superscript or subscript are set per logic above,
+    // but need to check here for type check to pass.
+
+
+    if (superscript || subscript) {
+      // If we got either a superscript or subscript, create a supsub
+      return {
+        type: "supsub",
+        mode: this.mode,
+        base: base,
+        sup: superscript,
+        sub: subscript
+      };
+    } else {
+      // Otherwise return the original body
+      return base;
+    }
+  }
+  /**
+   * Parses an entire function, including its base and all of its arguments.
+   */
+  ;
+
+  _proto.parseFunction = function parseFunction(breakOnTokenText, name, // For error reporting.
+  greediness) {
+    var token = this.fetch();
+    var func = token.text;
+    var funcData = src_functions[func];
+
+    if (!funcData) {
+      return null;
+    }
+
+    this.consume(); // consume command token
+
+    if (greediness != null && funcData.greediness <= greediness) {
+      throw new src_ParseError("Got function '" + func + "' with no arguments" + (name ? " as " + name : ""), token);
+    } else if (this.mode === "text" && !funcData.allowedInText) {
+      throw new src_ParseError("Can't use function '" + func + "' in text mode", token);
+    } else if (this.mode === "math" && funcData.allowedInMath === false) {
+      throw new src_ParseError("Can't use function '" + func + "' in math mode", token);
+    }
+
+    var _this$parseArguments = this.parseArguments(func, funcData),
+        args = _this$parseArguments.args,
+        optArgs = _this$parseArguments.optArgs;
+
+    return this.callFunction(func, args, optArgs, token, breakOnTokenText);
+  }
+  /**
+   * Call a function handler with a suitable context and arguments.
+   */
+  ;
+
+  _proto.callFunction = function callFunction(name, args, optArgs, token, breakOnTokenText) {
+    var context = {
+      funcName: name,
+      parser: this,
+      token: token,
+      breakOnTokenText: breakOnTokenText
+    };
+    var func = src_functions[name];
+
+    if (func && func.handler) {
+      return func.handler(context, args, optArgs);
+    } else {
+      throw new src_ParseError("No function handler for " + name);
+    }
+  }
+  /**
+   * Parses the arguments of a function or environment
+   */
+  ;
+
+  _proto.parseArguments = function parseArguments(func, // Should look like "\name" or "\begin{name}".
+  funcData) {
+    var totalArgs = funcData.numArgs + funcData.numOptionalArgs;
+
+    if (totalArgs === 0) {
+      return {
+        args: [],
+        optArgs: []
+      };
+    }
+
+    var baseGreediness = funcData.greediness;
+    var args = [];
+    var optArgs = [];
+
+    for (var i = 0; i < totalArgs; i++) {
+      var argType = funcData.argTypes && funcData.argTypes[i];
+      var isOptional = i < funcData.numOptionalArgs; // Ignore spaces between arguments.  As the TeXbook says:
+      // "After you have said ‘\def\row#1#2{...}’, you are allowed to
+      //  put spaces between the arguments (e.g., ‘\row x n’), because
+      //  TeX doesn’t use single spaces as undelimited arguments."
+
+      var consumeSpaces = i > 0 && !isOptional || // Also consume leading spaces in math mode, as parseSymbol
+      // won't know what to do with them.  This can only happen with
+      // macros, e.g. \frac\foo\foo where \foo expands to a space symbol.
+      // In LaTeX, the \foo's get treated as (blank) arguments.
+      // In KaTeX, for now, both spaces will get consumed.
+      // TODO(edemaine)
+      i === 0 && !isOptional && this.mode === "math";
+      var arg = this.parseGroupOfType("argument to '" + func + "'", argType, isOptional, baseGreediness, consumeSpaces);
+
+      if (!arg) {
+        if (isOptional) {
+          optArgs.push(null);
+          continue;
+        }
+
+        throw new src_ParseError("Expected group after '" + func + "'", this.fetch());
+      }
+
+      (isOptional ? optArgs : args).push(arg);
+    }
+
+    return {
+      args: args,
+      optArgs: optArgs
+    };
+  }
+  /**
+   * Parses a group when the mode is changing.
+   */
+  ;
+
+  _proto.parseGroupOfType = function parseGroupOfType(name, type, optional, greediness, consumeSpaces) {
+    switch (type) {
+      case "color":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseColorGroup(optional);
+
+      case "size":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseSizeGroup(optional);
+
+      case "url":
+        return this.parseUrlGroup(optional, consumeSpaces);
+
+      case "math":
+      case "text":
+        return this.parseGroup(name, optional, greediness, undefined, type, consumeSpaces);
+
+      case "hbox":
+        {
+          // hbox argument type wraps the argument in the equivalent of
+          // \hbox, which is like \text but switching to \textstyle size.
+          var group = this.parseGroup(name, optional, greediness, undefined, "text", consumeSpaces);
+
+          if (!group) {
+            return group;
+          }
+
+          var styledGroup = {
+            type: "styling",
+            mode: group.mode,
+            body: [group],
+            style: "text" // simulate \textstyle
+
+          };
+          return styledGroup;
+        }
+
+      case "raw":
+        {
+          if (consumeSpaces) {
+            this.consumeSpaces();
+          }
+
+          if (optional && this.fetch().text === "{") {
+            return null;
+          }
+
+          var token = this.parseStringGroup("raw", optional, true);
+
+          if (token) {
+            return {
+              type: "raw",
+              mode: "text",
+              string: token.text
+            };
+          } else {
+            throw new src_ParseError("Expected raw group", this.fetch());
+          }
+        }
+
+      case "original":
+      case null:
+      case undefined:
+        return this.parseGroup(name, optional, greediness, undefined, undefined, consumeSpaces);
+
+      default:
+        throw new src_ParseError("Unknown group type as " + name, this.fetch());
+    }
+  }
+  /**
+   * Discard any space tokens, fetching the next non-space token.
+   */
+  ;
+
+  _proto.consumeSpaces = function consumeSpaces() {
+    while (this.fetch().text === " ") {
+      this.consume();
+    }
+  }
+  /**
+   * Parses a group, essentially returning the string formed by the
+   * brace-enclosed tokens plus some position information.
+   */
+  ;
+
+  _proto.parseStringGroup = function parseStringGroup(modeName, // Used to describe the mode in error messages.
+  optional, raw) {
+    var groupBegin = optional ? "[" : "{";
+    var groupEnd = optional ? "]" : "}";
+    var beginToken = this.fetch();
+
+    if (beginToken.text !== groupBegin) {
+      if (optional) {
+        return null;
+      } else if (raw && beginToken.text !== "EOF" && /[^{}[\]]/.test(beginToken.text)) {
+        this.consume();
+        return beginToken;
+      }
+    }
+
+    var outerMode = this.mode;
+    this.mode = "text";
+    this.expect(groupBegin);
+    var str = "";
+    var firstToken = this.fetch();
+    var nested = 0; // allow nested braces in raw string group
+
+    var lastToken = firstToken;
+    var nextToken;
+
+    while ((nextToken = this.fetch()).text !== groupEnd || raw && nested > 0) {
+      switch (nextToken.text) {
+        case "EOF":
+          throw new src_ParseError("Unexpected end of input in " + modeName, firstToken.range(lastToken, str));
+
+        case groupBegin:
+          nested++;
+          break;
+
+        case groupEnd:
+          nested--;
+          break;
+      }
+
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    this.expect(groupEnd);
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a regex-delimited group: the largest sequence of tokens
+   * whose concatenated strings match `regex`. Returns the string
+   * formed by the tokens plus some position information.
+   */
+  ;
+
+  _proto.parseRegexGroup = function parseRegexGroup(regex, modeName) {
+    var outerMode = this.mode;
+    this.mode = "text";
+    var firstToken = this.fetch();
+    var lastToken = firstToken;
+    var str = "";
+    var nextToken;
+
+    while ((nextToken = this.fetch()).text !== "EOF" && regex.test(str + nextToken.text)) {
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    if (str === "") {
+      throw new src_ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken);
+    }
+
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a color description.
+   */
+  ;
+
+  _proto.parseColorGroup = function parseColorGroup(optional) {
+    var res = this.parseStringGroup("color", optional);
+
+    if (!res) {
+      return null;
+    }
+
+    var match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text);
+
+    if (!match) {
+      throw new src_ParseError("Invalid color: '" + res.text + "'", res);
+    }
+
+    var color = match[0];
+
+    if (/^[0-9a-f]{6}$/i.test(color)) {
+      // We allow a 6-digit HTML color spec without a leading "#".
+      // This follows the xcolor package's HTML color model.
+      // Predefined color names are all missed by this RegEx pattern.
+      color = "#" + color;
+    }
+
+    return {
+      type: "color-token",
+      mode: this.mode,
+      color: color
+    };
+  }
+  /**
+   * Parses a size specification, consisting of magnitude and unit.
+   */
+  ;
+
+  _proto.parseSizeGroup = function parseSizeGroup(optional) {
+    var res;
+    var isBlank = false;
+
+    if (!optional && this.fetch().text !== "{") {
+      res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size");
+    } else {
+      res = this.parseStringGroup("size", optional);
+    }
+
+    if (!res) {
+      return null;
+    }
+
+    if (!optional && res.text.length === 0) {
+      // Because we've tested for what is !optional, this block won't
+      // affect \kern, \hspace, etc. It will capture the mandatory arguments
+      // to \genfrac and \above.
+      res.text = "0pt"; // Enable \above{}
+
+      isBlank = true; // This is here specifically for \genfrac
+    }
+
+    var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text);
+
+    if (!match) {
+      throw new src_ParseError("Invalid size: '" + res.text + "'", res);
+    }
+
+    var data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new src_ParseError("Invalid unit: '" + data.unit + "'", res);
+    }
+
+    return {
+      type: "size",
+      mode: this.mode,
+      value: data,
+      isBlank: isBlank
+    };
+  }
+  /**
+   * Parses an URL, checking escaped letters and allowed protocols,
+   * and setting the catcode of % as an active character (as in \hyperref).
+   */
+  ;
+
+  _proto.parseUrlGroup = function parseUrlGroup(optional, consumeSpaces) {
+    this.gullet.lexer.setCatcode("%", 13); // active character
+
+    var res = this.parseStringGroup("url", optional, true); // get raw string
+
+    this.gullet.lexer.setCatcode("%", 14); // comment character
+
+    if (!res) {
+      return null;
+    } // hyperref package allows backslashes alone in href, but doesn't
+    // generate valid links in such cases; we interpret this as
+    // "undefined" behaviour, and keep them as-is. Some browser will
+    // replace backslashes with forward slashes.
+
+
+    var url = res.text.replace(/\\([#$%&~_^{}])/g, '$1');
+    return {
+      type: "url",
+      mode: this.mode,
+      url: url
+    };
+  }
+  /**
+   * If `optional` is false or absent, this parses an ordinary group,
+   * which is either a single nucleus (like "x") or an expression
+   * in braces (like "{x+y}") or an implicit group, a group that starts
+   * at the current position, and ends right before a higher explicit
+   * group ends, or at EOF.
+   * If `optional` is true, it parses either a bracket-delimited expression
+   * (like "[x+y]") or returns null to indicate the absence of a
+   * bracket-enclosed group.
+   * If `mode` is present, switches to that mode while parsing the group,
+   * and switches back after.
+   */
+  ;
+
+  _proto.parseGroup = function parseGroup(name, // For error reporting.
+  optional, greediness, breakOnTokenText, mode, consumeSpaces) {
+    // Switch to specified mode
+    var outerMode = this.mode;
+
+    if (mode) {
+      this.switchMode(mode);
+    } // Consume spaces if requested, crucially *after* we switch modes,
+    // so that the next non-space token is parsed in the correct mode.
+
+
+    if (consumeSpaces) {
+      this.consumeSpaces();
+    } // Get first token
+
+
+    var firstToken = this.fetch();
+    var text = firstToken.text;
+    var result; // Try to parse an open brace or \begingroup
+
+    if (optional ? text === "[" : text === "{" || text === "\\begingroup") {
+      this.consume();
+      var groupEnd = Parser.endOfGroup[text]; // Start a new group namespace
+
+      this.gullet.beginGroup(); // If we get a brace, parse an expression
+
+      var expression = this.parseExpression(false, groupEnd);
+      var lastToken = this.fetch(); // Check that we got a matching closing brace
+
+      this.expect(groupEnd); // End group namespace
+
+      this.gullet.endGroup();
+      result = {
+        type: "ordgroup",
+        mode: this.mode,
+        loc: SourceLocation.range(firstToken, lastToken),
+        body: expression,
+        // A group formed by \begingroup...\endgroup is a semi-simple group
+        // which doesn't affect spacing in math mode, i.e., is transparent.
+        // https://tex.stackexchange.com/questions/1930/when-should-one-
+        // use-begingroup-instead-of-bgroup
+        semisimple: text === "\\begingroup" || undefined
+      };
+    } else if (optional) {
+      // Return nothing for an optional group
+      result = null;
+    } else {
+      // If there exists a function with this name, parse the function.
+      // Otherwise, just return a nucleus
+      result = this.parseFunction(breakOnTokenText, name, greediness) || this.parseSymbol();
+
+      if (result == null && text[0] === "\\" && !implicitCommands.hasOwnProperty(text)) {
+        if (this.settings.throwOnError) {
+          throw new src_ParseError("Undefined control sequence: " + text, firstToken);
+        }
+
+        result = this.formatUnsupportedCmd(text);
+        this.consume();
+      }
+    } // Switch mode back
+
+
+    if (mode) {
+      this.switchMode(outerMode);
+    }
+
+    return result;
+  }
+  /**
+   * Form ligature-like combinations of characters for text mode.
+   * This includes inputs like "--", "---", "``" and "''".
+   * The result will simply replace multiple textord nodes with a single
+   * character in each value by a single textord node having multiple
+   * characters in its value.  The representation is still ASCII source.
+   * The group will be modified in place.
+   */
+  ;
+
+  _proto.formLigatures = function formLigatures(group) {
+    var n = group.length - 1;
+
+    for (var i = 0; i < n; ++i) {
+      var a = group[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+      var v = a.text;
+
+      if (v === "-" && group[i + 1].text === "-") {
+        if (i + 1 < n && group[i + 2].text === "-") {
+          group.splice(i, 3, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 2]),
+            text: "---"
+          });
+          n -= 2;
+        } else {
+          group.splice(i, 2, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 1]),
+            text: "--"
+          });
+          n -= 1;
+        }
+      }
+
+      if ((v === "'" || v === "`") && group[i + 1].text === v) {
+        group.splice(i, 2, {
+          type: "textord",
+          mode: "text",
+          loc: SourceLocation.range(a, group[i + 1]),
+          text: v + v
+        });
+        n -= 1;
+      }
+    }
+  }
+  /**
+   * Parse a single symbol out of the string. Here, we handle single character
+   * symbols and special functions like \verb.
+   */
+  ;
+
+  _proto.parseSymbol = function parseSymbol() {
+    var nucleus = this.fetch();
+    var text = nucleus.text;
+
+    if (/^\\verb[^a-zA-Z]/.test(text)) {
+      this.consume();
+      var arg = text.slice(5);
+      var star = arg.charAt(0) === "*";
+
+      if (star) {
+        arg = arg.slice(1);
+      } // Lexer's tokenRegex is constructed to always have matching
+      // first/last characters.
+
+
+      if (arg.length < 2 || arg.charAt(0) !== arg.slice(-1)) {
+        throw new src_ParseError("\\verb assertion failed --\n                    please report what input caused this bug");
+      }
+
+      arg = arg.slice(1, -1); // remove first and last char
+
+      return {
+        type: "verb",
+        mode: "text",
+        body: arg,
+        star: star
+      };
+    } // At this point, we should have a symbol, possibly with accents.
+    // First expand any accented base symbol according to unicodeSymbols.
+
+
+    if (unicodeSymbols.hasOwnProperty(text[0]) && !src_symbols[this.mode][text[0]]) {
+      // This behavior is not strict (XeTeX-compatible) in math mode.
+      if (this.settings.strict && this.mode === "math") {
+        this.settings.reportNonstrict("unicodeTextInMathMode", "Accented Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus);
+      }
+
+      text = unicodeSymbols[text[0]] + text.substr(1);
+    } // Strip off any combining characters
+
+
+    var match = combiningDiacriticalMarksEndRegex.exec(text);
+
+    if (match) {
+      text = text.substring(0, match.index);
+
+      if (text === 'i') {
+        text = "\u0131"; // dotless i, in math and text mode
+      } else if (text === 'j') {
+        text = "\u0237"; // dotless j, in math and text mode
+      }
+    } // Recognize base symbol
+
+
+    var symbol;
+
+    if (src_symbols[this.mode][text]) {
+      if (this.settings.strict && this.mode === 'math' && extraLatin.indexOf(text) >= 0) {
+        this.settings.reportNonstrict("unicodeTextInMathMode", "Latin-1/Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus);
+      }
+
+      var group = src_symbols[this.mode][text].group;
+      var loc = SourceLocation.range(nucleus);
+      var s;
+
+      if (ATOMS.hasOwnProperty(group)) {
+        // $FlowFixMe
+        var family = group;
+        s = {
+          type: "atom",
+          mode: this.mode,
+          family: family,
+          loc: loc,
+          text: text
+        };
+      } else {
+        // $FlowFixMe
+        s = {
+          type: group,
+          mode: this.mode,
+          loc: loc,
+          text: text
+        };
+      }
+
+      symbol = s;
+    } else if (text.charCodeAt(0) >= 0x80) {
+      // no symbol for e.g. ^
+      if (this.settings.strict) {
+        if (!supportedCodepoint(text.charCodeAt(0))) {
+          this.settings.reportNonstrict("unknownSymbol", "Unrecognized Unicode character \"" + text[0] + "\"" + (" (" + text.charCodeAt(0) + ")"), nucleus);
+        } else if (this.mode === "math") {
+          this.settings.reportNonstrict("unicodeTextInMathMode", "Unicode text character \"" + text[0] + "\" used in math mode", nucleus);
+        }
+      } // All nonmathematical Unicode characters are rendered as if they
+      // are in text mode (wrapped in \text) because that's what it
+      // takes to render them in LaTeX.  Setting `mode: this.mode` is
+      // another natural choice (the user requested math mode), but
+      // this makes it more difficult for getCharacterMetrics() to
+      // distinguish Unicode characters without metrics and those for
+      // which we want to simulate the letter M.
+
+
+      symbol = {
+        type: "textord",
+        mode: "text",
+        loc: SourceLocation.range(nucleus),
+        text: text
+      };
+    } else {
+      return null; // EOF, ^, _, {, }, etc.
+    }
+
+    this.consume(); // Transform combining characters into accents
+
+    if (match) {
+      for (var i = 0; i < match[0].length; i++) {
+        var accent = match[0][i];
+
+        if (!unicodeAccents[accent]) {
+          throw new src_ParseError("Unknown accent ' " + accent + "'", nucleus);
+        }
+
+        var command = unicodeAccents[accent][this.mode];
+
+        if (!command) {
+          throw new src_ParseError("Accent " + accent + " unsupported in " + this.mode + " mode", nucleus);
+        }
+
+        symbol = {
+          type: "accent",
+          mode: this.mode,
+          loc: SourceLocation.range(nucleus),
+          label: command,
+          isStretchy: false,
+          isShifty: true,
+          base: symbol
+        };
+      }
+    }
+
+    return symbol;
+  };
+
+  return Parser;
+}();
+
+Parser_Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
+Parser_Parser.endOfGroup = {
+  "[": "]",
+  "{": "}",
+  "\\begingroup": "\\endgroup"
+  /**
+   * Parses an "expression", which is a list of atoms.
+   *
+   * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This
+   *                 happens when functions have higher precendence han infix
+   *                 nodes in implicit parses.
+   *
+   * `breakOnTokenText`: The text of the token that the expression should end
+   *                     with, or `null` if something else should end the
+   *                     expression.
+   */
+
+};
+Parser_Parser.SUPSUB_GREEDINESS = 1;
+
+// CONCATENATED MODULE: ./src/parseTree.js
+/**
+ * Provides a single function for parsing an expression using a Parser
+ * TODO(emily): Remove this
+ */
+
+
+
+/**
+ * Parses an expression using a Parser, then returns the parsed result.
+ */
+var parseTree_parseTree = function parseTree(toParse, settings) {
+  if (!(typeof toParse === 'string' || toParse instanceof String)) {
+    throw new TypeError('KaTeX can only parse string typed expression');
+  }
+
+  var parser = new Parser_Parser(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors
+
+  delete parser.gullet.macros.current["\\df@tag"];
+  var tree = parser.parse(); // If the input used \tag, it will set the \df@tag macro to the tag.
+  // In this case, we separately parse the tag and wrap the tree.
+
+  if (parser.gullet.macros.get("\\df@tag")) {
+    if (!settings.displayMode) {
+      throw new src_ParseError("\\tag works only in display equations");
+    }
+
+    parser.gullet.feed("\\df@tag");
+    tree = [{
+      type: "tag",
+      mode: "text",
+      body: tree,
+      tag: parser.parse()
+    }];
+  }
+
+  return tree;
+};
+
+/* harmony default export */ var src_parseTree = (parseTree_parseTree);
+// CONCATENATED MODULE: ./katex.js
+/* eslint no-console:0 */
+
+/**
+ * This is the main entry point for KaTeX. Here, we expose functions for
+ * rendering expressions either to DOM nodes or to markup strings.
+ *
+ * We also expose the ParseError class to check if errors thrown from KaTeX are
+ * errors in the expression, or errors in javascript handling.
+ */
+
+
+
+
+
+
+
+
+
+
+/**
+ * Parse and build an expression, and place that expression in the DOM node
+ * given.
+ */
+var katex_render = function render(expression, baseNode, options) {
+  baseNode.textContent = "";
+  var node = katex_renderToDomTree(expression, options).toNode();
+  baseNode.appendChild(node);
+}; // KaTeX's styles don't work properly in quirks mode. Print out an error, and
+// disable rendering.
+
+
+if (typeof document !== "undefined") {
+  if (document.compatMode !== "CSS1Compat") {
+    typeof console !== "undefined" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your " + "website has a suitable doctype.");
+
+    katex_render = function render() {
+      throw new src_ParseError("KaTeX doesn't work in quirks mode.");
+    };
+  }
+}
+/**
+ * Parse and build an expression, and return the markup for that.
+ */
+
+
+var renderToString = function renderToString(expression, options) {
+  var markup = katex_renderToDomTree(expression, options).toMarkup();
+  return markup;
+};
+/**
+ * Parse an expression and return the parse tree.
+ */
+
+
+var katex_generateParseTree = function generateParseTree(expression, options) {
+  var settings = new Settings_Settings(options);
+  return src_parseTree(expression, settings);
+};
+/**
+ * If the given error is a KaTeX ParseError and options.throwOnError is false,
+ * renders the invalid LaTeX as a span with hover title giving the KaTeX
+ * error message.  Otherwise, simply throws the error.
+ */
+
+
+var katex_renderError = function renderError(error, expression, options) {
+  if (options.throwOnError || !(error instanceof src_ParseError)) {
+    throw error;
+  }
+
+  var node = buildCommon.makeSpan(["katex-error"], [new domTree_SymbolNode(expression)]);
+  node.setAttribute("title", error.toString());
+  node.setAttribute("style", "color:" + options.errorColor);
+  return node;
+};
+/**
+ * Generates and returns the katex build tree. This is used for advanced
+ * use cases (like rendering to custom output).
+ */
+
+
+var katex_renderToDomTree = function renderToDomTree(expression, options) {
+  var settings = new Settings_Settings(options);
+
+  try {
+    var tree = src_parseTree(expression, settings);
+    return buildTree_buildTree(tree, expression, settings);
+  } catch (error) {
+    return katex_renderError(error, expression, settings);
+  }
+};
+/**
+ * Generates and returns the katex build tree, with just HTML (no MathML).
+ * This is used for advanced use cases (like rendering to custom output).
+ */
+
+
+var katex_renderToHTMLTree = function renderToHTMLTree(expression, options) {
+  var settings = new Settings_Settings(options);
+
+  try {
+    var tree = src_parseTree(expression, settings);
+    return buildTree_buildHTMLTree(tree, expression, settings);
+  } catch (error) {
+    return katex_renderError(error, expression, settings);
+  }
+};
+
+/* harmony default export */ var katex_0 = ({
+  /**
+   * Current KaTeX version
+   */
+  version: "0.11.1",
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination, and adds
+   * it as a child to the specified DOM node.
+   */
+  render: katex_render,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination string,
+   * for sending to the client.
+   */
+  renderToString: renderToString,
+
+  /**
+   * KaTeX error, usually during parsing.
+   */
+  ParseError: src_ParseError,
+
+  /**
+   * Parses the given LaTeX into KaTeX's internal parse tree structure,
+   * without rendering to HTML or MathML.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __parse: katex_generateParseTree,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML internal DOM tree
+   * representation, without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToDomTree: katex_renderToDomTree,
+
+  /**
+   * Renders the given LaTeX into an HTML internal DOM tree representation,
+   * without MathML and without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToHTMLTree: katex_renderToHTMLTree,
+
+  /**
+   * extends internal font metrics object with a new object
+   * each key in the new object represents a font name
+  */
+  __setFontMetrics: setFontMetrics,
+
+  /**
+   * adds a new symbol to builtin symbols table
+   */
+  __defineSymbol: defineSymbol,
+
+  /**
+   * adds a new macro to builtin macro list
+   */
+  __defineMacro: defineMacro,
+
+  /**
+   * Expose the dom tree node types, which can be useful for type checking nodes.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __domTree: {
+    Span: domTree_Span,
+    Anchor: domTree_Anchor,
+    SymbolNode: domTree_SymbolNode,
+    SvgNode: SvgNode,
+    PathNode: domTree_PathNode,
+    LineNode: LineNode
+  }
+});
+// CONCATENATED MODULE: ./katex.webpack.js
+/**
+ * This is the webpack entry point for KaTeX. As ECMAScript, flow[1] and jest[2]
+ * doesn't support CSS modules natively, a separate entry point is used and
+ * it is not flowtyped.
+ *
+ * [1] https://gist.github.com/lambdahands/d19e0da96285b749f0ef
+ * [2] https://facebook.github.io/jest/docs/en/webpack.html
+ */
+
+
+/* harmony default export */ var katex_webpack = __webpack_exports__["default"] = (katex_0);
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/katex.min.css b/docs/static/katex/v0.11.1/katex.min.css
new file mode 100644
index 000000000..c0cd1451a
--- /dev/null
+++ b/docs/static/katex/v0.11.1/katex.min.css
@@ -0,0 +1 @@
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t(t,e){this.mode=void 0,this.gullet=void 0,this.settings=void 0,this.leftrightDepth=void 0,this.nextToken=void 0,this.mode="math",this.gullet=new wa(t,e,this.mode),this.settings=e,this.leftrightDepth=0}var e=t.prototype;return e.expect=function(t,e){if(void 0===e&&(e=!0),this.fetch().text!==t)throw new o("Expected '"+t+"', got '"+this.fetch().text+"'",this.fetch());e&&this.consume()},e.consume=function(){this.nextToken=null},e.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},e.switchMode=function(t){this.mode=t,this.gullet.switchMode(t)},e.parse=function(){this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");var t=this.parseExpression(!1);return this.expect("EOF"),this.gullet.endGroup(),t},e.parseExpression=function(e,r){for(var a=[];;){"math"===this.mode&&this.consumeSpaces();var n=this.fetch();if(-1!==t.endOfExpression.indexOf(n.text))break;if(r&&n.text===r)break;if(e&&ia[n.text]&&ia[n.text].infix)break;var i=this.parseAtom(r);if(!i)break;a.push(i)}return"text"===this.mode&&this.formLigatures(a),this.handleInfixNodes(a)},e.handleInfixNodes=function(t){for(var e,r=-1,a=0;a<t.length;a++){var n=Vt(t[a],"infix");if(n){if(-1!==r)throw new o("only one infix operator per group",n.token);r=a,e=n.replaceWith}}if(-1!==r&&e){var i,s,h=t.slice(0,r),l=t.slice(r+1);return i=1===h.length&&"ordgroup"===h[0].type?h[0]:{type:"ordgroup",mode:this.mode,body:h},s=1===l.length&&"ordgroup"===l[0].type?l[0]:{type:"ordgroup",mode:this.mode,body:l},["\\\\abovefrac"===e?this.callFunction(e,[i,t[r],s],[]):this.callFunction(e,[i,s],[])]}return t},e.handleSupSubscript=function(e){var r=this.fetch(),a=r.text;this.consume();var n=this.parseGroup(e,!1,t.SUPSUB_GREEDINESS,void 0,void 0,!0);if(!n)throw new o("Expected group after '"+a+"'",r);return n},e.formatUnsupportedCmd=function(t){for(var e=[],r=0;r<t.length;r++)e.push({type:"textord",mode:"text",text:t[r]});var a={type:"text",mode:this.mode,body:e};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[a]}},e.parseAtom=function(t){var e,r,a=this.parseGroup("atom",!1,null,t);if("text"===this.mode)return a;for(;;){this.consumeSpaces();var n=this.fetch();if("\\limits"===n.text||"\\nolimits"===n.text){var i=Vt(a,"op");if(i){var s="\\limits"===n.text;i.limits=s,i.alwaysHandleSupSub=!0}else{if(!(i=Vt(a,"operatorname"))||!i.alwaysHandleSupSub)throw new o("Limit controls must follow a math operator",n);var h="\\limits"===n.text;i.limits=h}this.consume()}else if("^"===n.text){if(e)throw new o("Double superscript",n);e=this.handleSupSubscript("superscript")}else if("_"===n.text){if(r)throw new o("Double subscript",n);r=this.handleSupSubscript("subscript")}else{if("'"!==n.text)break;if(e)throw new o("Double superscript",n);var l={type:"textord",mode:this.mode,text:"\\prime"},m=[l];for(this.consume();"'"===this.fetch().text;)m.push(l),this.consume();"^"===this.fetch().text&&m.push(this.handleSupSubscript("superscript")),e={type:"ordgroup",mode:this.mode,body:m}}}return e||r?{type:"supsub",mode:this.mode,base:a,sup:e,sub:r}:a},e.parseFunction=function(t,e,r){var a=this.fetch(),n=a.text,i=ia[n];if(!i)return null;if(this.consume(),null!=r&&i.greediness<=r)throw new o("Got function '"+n+"' with no arguments"+(e?" as "+e:""),a);if("text"===this.mode&&!i.allowedInText)throw new o("Can't use function '"+n+"' in text mode",a);if("math"===this.mode&&!1===i.allowedInMath)throw new o("Can't use function '"+n+"' in math mode",a);var s=this.parseArguments(n,i),h=s.args,l=s.optArgs;return this.callFunction(n,h,l,a,t)},e.callFunction=function(t,e,r,a,n){var i={funcName:t,parser:this,token:a,breakOnTokenText:n},s=ia[t];if(s&&s.handler)return s.handler(i,e,r);throw new o("No function handler for 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s=this.parseStringGroup("raw",r,!0);if(s)return{type:"raw",mode:"text",string:s.text};throw new o("Expected raw group",this.fetch());case"original":case null:case void 0:return this.parseGroup(t,r,a,void 0,void 0,n);default:throw new o("Unknown group type as "+t,this.fetch())}},e.consumeSpaces=function(){for(;" "===this.fetch().text;)this.consume()},e.parseStringGroup=function(t,e,r){var a=e?"[":"{",n=e?"]":"}",i=this.fetch();if(i.text!==a){if(e)return null;if(r&&"EOF"!==i.text&&/[^{}[\]]/.test(i.text))return this.consume(),i}var s=this.mode;this.mode="text",this.expect(a);for(var h,l="",m=this.fetch(),c=0,u=m;(h=this.fetch()).text!==n||r&&c>0;){switch(h.text){case"EOF":throw new o("Unexpected end of input in "+t,m.range(u,l));case a:c++;break;case n:c--}l+=(u=h).text,this.consume()}return this.expect(n),this.mode=s,m.range(u,l)},e.parseRegexGroup=function(t,e){var r=this.mode;this.mode="text";for(var a,n=this.fetch(),i=n,s="";"EOF"!==(a=this.fetch()).text&&t.test(s+a.text);)s+=(i=a).text,this.consume();if(""===s)throw new o("Invalid "+e+": '"+n.text+"'",n);return this.mode=r,n.range(i,s)},e.parseColorGroup=function(t){var e=this.parseStringGroup("color",t);if(!e)return null;var r=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(e.text);if(!r)throw new o("Invalid color: '"+e.text+"'",e);var a=r[0];return/^[0-9a-f]{6}$/i.test(a)&&(a="#"+a),{type:"color-token",mode:this.mode,color:a}},e.parseSizeGroup=function(t){var e,r=!1;if(!(e=t||"{"===this.fetch().text?this.parseStringGroup("size",t):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size")))return null;t||0!==e.text.length||(e.text="0pt",r=!0);var a=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(e.text);if(!a)throw new o("Invalid size: '"+e.text+"'",e);var n={number:+(a[1]+a[2]),unit:a[3]};if(!At(n))throw new o("Invalid unit: '"+n.unit+"'",e);return{type:"size",mode:this.mode,value:n,isBlank:r}},e.parseUrlGroup=function(t,e){this.gullet.lexer.setCatcode("%",13);var r=this.parseStringGroup("url",t,!0);if(this.gullet.lexer.setCatcode("%",14),!r)return null;var a=r.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:a}},e.parseGroup=function(e,r,n,i,s,h){var l=this.mode;s&&this.switchMode(s),h&&this.consumeSpaces();var m,c=this.fetch(),u=c.text;if(r?"["===u:"{"===u||"\\begingroup"===u){this.consume();var p=t.endOfGroup[u];this.gullet.beginGroup();var d=this.parseExpression(!1,p),f=this.fetch();this.expect(p),this.gullet.endGroup(),m={type:"ordgroup",mode:this.mode,loc:a.range(c,f),body:d,semisimple:"\\begingroup"===u||void 0}}else if(r)m=null;else if(null==(m=this.parseFunction(i,e,n)||this.parseSymbol())&&"\\"===u[0]&&!ya.hasOwnProperty(u)){if(this.settings.throwOnError)throw new o("Undefined control sequence: "+u,c);m=this.formatUnsupportedCmd(u),this.consume()}return s&&this.switchMode(l),m},e.formLigatures=function(t){for(var e=t.length-1,r=0;r<e;++r){var n=t[r],i=n.text;"-"===i&&"-"===t[r+1].text&&(r+1<e&&"-"===t[r+2].text?(t.splice(r,3,{type:"textord",mode:"text",loc:a.range(n,t[r+2]),text:"---"}),e-=2):(t.splice(r,2,{type:"textord",mode:"text",loc:a.range(n,t[r+1]),text:"--"}),e-=1)),"'"!==i&&"`"!==i||t[r+1].text!==i||(t.splice(r,2,{type:"textord",mode:"text",loc:a.range(n,t[r+1]),text:i+i}),e-=1)}},e.parseSymbol=function(){var t=this.fetch(),e=t.text;if(/^\\verb[^a-zA-Z]/.test(e)){this.consume();var r=e.slice(5),n="*"===r.charAt(0);if(n&&(r=r.slice(1)),r.length<2||r.charAt(0)!==r.slice(-1))throw new o("\\verb assertion failed --\n                    please report what input caused this bug");return{type:"verb",mode:"text",body:r=r.slice(1,-1),star:n}}Sa.hasOwnProperty(e[0])&&!j[this.mode][e[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+e[0]+'" used in math mode',t),e=Sa[e[0]]+e.substr(1));var i,s=sa.exec(e);if(s&&("i"===(e=e.substring(0,s.index))?e="\u0131":"j"===e&&(e="\u0237")),j[this.mode][e]){this.settings.strict&&"math"===this.mode&&"\xc7\xd0\xde\xe7\xfe".indexOf(e)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+e[0]+'" used in math mode',t);var h,l=j[this.mode][e].group,m=a.range(t);if(W.hasOwnProperty(l)){var c=l;h={type:"atom",mode:this.mode,family:c,loc:m,text:e}}else h={type:l,mode:this.mode,loc:m,text:e};i=h}else{if(!(e.charCodeAt(0)>=128))return null;this.settings.strict&&(M(e.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+e[0]+'" used in math mode',t):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+e[0]+'" ('+e.charCodeAt(0)+")",t)),i={type:"textord",mode:"text",loc:a.range(t),text:e}}if(this.consume(),s)for(var u=0;u<s[0].length;u++){var p=s[0][u];if(!ka[p])throw new o("Unknown accent ' "+p+"'",t);var d=ka[p][this.mode];if(!d)throw new o("Accent "+p+" unsupported in "+this.mode+" mode",t);i={type:"accent",mode:this.mode,loc:a.range(t),label:d,isStretchy:!1,isShifty:!0,base:i}}return i},t}();Ma.endOfExpression=["}","\\endgroup","\\end","\\right","&"],Ma.endOfGroup={"[":"]","{":"}","\\begingroup":"\\endgroup"},Ma.SUPSUB_GREEDINESS=1;var za=function(t,e){if(!("string"==typeof t||t instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var r=new Ma(t,e);delete r.gullet.macros.current["\\df@tag"];var a=r.parse();if(r.gullet.macros.get("\\df@tag")){if(!e.displayMode)throw new o("\\tag works only in display equations");r.gullet.feed("\\df@tag"),a=[{type:"tag",mode:"text",body:a,tag:r.parse()}]}return a},Aa=function(t,e,r){e.textContent="";var a=Ba(t,r).toNode();e.appendChild(a)};"undefined"!=typeof document&&"CSS1Compat"!==document.compatMode&&("undefined"!=typeof console&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."),Aa=function(){throw new o("KaTeX doesn't work in quirks mode.")});var Ta=function(t,e,r){if(r.throwOnError||!(t instanceof o))throw t;var a=Dt.makeSpan(["katex-error"],[new E(e)]);return a.setAttribute("title",t.toString()),a.setAttribute("style","color:"+r.errorColor),a},Ba=function(t,e){var r=new u(e);try{var a=za(t,r);return Be(a,t,r)}catch(e){return Ta(e,t,r)}},Ca={version:"0.11.1",render:Aa,renderToString:function(t,e){return Ba(t,e).toMarkup()},ParseError:o,__parse:function(t,e){var r=new u(e);return za(t,r)},__renderToDomTree:Ba,__renderToHTMLTree:function(t,e){var r=new u(e);try{return function(t,e,r){var a=de(t,Ae(r)),n=Dt.makeSpan(["katex"],[a]);return Te(n,r)}(za(t,r),0,r)}catch(e){return Ta(e,t,r)}},__setFontMetrics:function(t,e){F[t]=e},__defineSymbol:$,__defineMacro:pa,__domTree:{Span:N,Anchor:I,SymbolNode:E,SvgNode:L,PathNode:H,LineNode:P}};e.default=Ca}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.11.1/katex.mjs b/docs/static/katex/v0.11.1/katex.mjs
new file mode 100644
index 000000000..dc7eebb01
--- /dev/null
+++ b/docs/static/katex/v0.11.1/katex.mjs
@@ -0,0 +1,17021 @@
+/**
+ * Lexing or parsing positional information for error reporting.
+ * This object is immutable.
+ */
+class SourceLocation {
+  // The + prefix indicates that these fields aren't writeable
+  // Lexer holding the input string.
+  // Start offset, zero-based inclusive.
+  // End offset, zero-based exclusive.
+  constructor(lexer, start, end) {
+    this.lexer = void 0;
+    this.start = void 0;
+    this.end = void 0;
+    this.lexer = lexer;
+    this.start = start;
+    this.end = end;
+  }
+  /**
+   * Merges two `SourceLocation`s from location providers, given they are
+   * provided in order of appearance.
+   * - Returns the first one's location if only the first is provided.
+   * - Returns a merged range of the first and the last if both are provided
+   *   and their lexers match.
+   * - Otherwise, returns null.
+   */
+
+
+  static range(first, second) {
+    if (!second) {
+      return first && first.loc;
+    } else if (!first || !first.loc || !second.loc || first.loc.lexer !== second.loc.lexer) {
+      return null;
+    } else {
+      return new SourceLocation(first.loc.lexer, first.loc.start, second.loc.end);
+    }
+  }
+
+}
+
+/**
+ * Interface required to break circular dependency between Token, Lexer, and
+ * ParseError.
+ */
+
+/**
+ * The resulting token returned from `lex`.
+ *
+ * It consists of the token text plus some position information.
+ * The position information is essentially a range in an input string,
+ * but instead of referencing the bare input string, we refer to the lexer.
+ * That way it is possible to attach extra metadata to the input string,
+ * like for example a file name or similar.
+ *
+ * The position information is optional, so it is OK to construct synthetic
+ * tokens if appropriate. Not providing available position information may
+ * lead to degraded error reporting, though.
+ */
+class Token {
+  constructor(text, // the text of this token
+  loc) {
+    this.text = void 0;
+    this.loc = void 0;
+    this.text = text;
+    this.loc = loc;
+  }
+  /**
+   * Given a pair of tokens (this and endToken), compute a `Token` encompassing
+   * the whole input range enclosed by these two.
+   */
+
+
+  range(endToken, // last token of the range, inclusive
+  text) // the text of the newly constructed token
+  {
+    return new Token(text, SourceLocation.range(this, endToken));
+  }
+
+}
+
+/**
+ * This is the ParseError class, which is the main error thrown by KaTeX
+ * functions when something has gone wrong. This is used to distinguish internal
+ * errors from errors in the expression that the user provided.
+ *
+ * If possible, a caller should provide a Token or ParseNode with information
+ * about where in the source string the problem occurred.
+ */
+class ParseError {
+  // Error position based on passed-in Token or ParseNode.
+  constructor(message, // The error message
+  token) // An object providing position information
+  {
+    this.position = void 0;
+    let error = "KaTeX parse error: " + message;
+    let start;
+    const loc = token && token.loc;
+
+    if (loc && loc.start <= loc.end) {
+      // If we have the input and a position, make the error a bit fancier
+      // Get the input
+      const input = loc.lexer.input; // Prepend some information
+
+      start = loc.start;
+      const end = loc.end;
+
+      if (start === input.length) {
+        error += " at end of input: ";
+      } else {
+        error += " at position " + (start + 1) + ": ";
+      } // Underline token in question using combining underscores
+
+
+      const underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error
+
+      let left;
+
+      if (start > 15) {
+        left = "…" + input.slice(start - 15, start);
+      } else {
+        left = input.slice(0, start);
+      }
+
+      let right;
+
+      if (end + 15 < input.length) {
+        right = input.slice(end, end + 15) + "…";
+      } else {
+        right = input.slice(end);
+      }
+
+      error += left + underlined + right;
+    } // Some hackery to make ParseError a prototype of Error
+    // See http://stackoverflow.com/a/8460753
+
+
+    const self = new Error(error);
+    self.name = "ParseError"; // $FlowFixMe
+
+    self.__proto__ = ParseError.prototype; // $FlowFixMe
+
+    self.position = start;
+    return self;
+  }
+
+} // $FlowFixMe More hackery
+
+
+ParseError.prototype.__proto__ = Error.prototype;
+
+/**
+ * This file contains a list of utility functions which are useful in other
+ * files.
+ */
+
+/**
+ * Return whether an element is contained in a list
+ */
+const contains = function contains(list, elem) {
+  return list.indexOf(elem) !== -1;
+};
+/**
+ * Provide a default value if a setting is undefined
+ * NOTE: Couldn't use `T` as the output type due to facebook/flow#5022.
+ */
+
+
+const deflt = function deflt(setting, defaultIfUndefined) {
+  return setting === undefined ? defaultIfUndefined : setting;
+}; // hyphenate and escape adapted from Facebook's React under Apache 2 license
+
+
+const uppercase = /([A-Z])/g;
+
+const hyphenate = function hyphenate(str) {
+  return str.replace(uppercase, "-$1").toLowerCase();
+};
+
+const ESCAPE_LOOKUP = {
+  "&": "&amp;",
+  ">": "&gt;",
+  "<": "&lt;",
+  "\"": "&quot;",
+  "'": "&#x27;"
+};
+const ESCAPE_REGEX = /[&><"']/g;
+/**
+ * Escapes text to prevent scripting attacks.
+ */
+
+function escape(text) {
+  return String(text).replace(ESCAPE_REGEX, match => ESCAPE_LOOKUP[match]);
+}
+/**
+ * Sometimes we want to pull out the innermost element of a group. In most
+ * cases, this will just be the group itself, but when ordgroups and colors have
+ * a single element, we want to pull that out.
+ */
+
+
+const getBaseElem = function getBaseElem(group) {
+  if (group.type === "ordgroup") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "color") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "font") {
+    return getBaseElem(group.body);
+  } else {
+    return group;
+  }
+};
+/**
+ * TeXbook algorithms often reference "character boxes", which are simply groups
+ * with a single character in them. To decide if something is a character box,
+ * we find its innermost group, and see if it is a single character.
+ */
+
+
+const isCharacterBox = function isCharacterBox(group) {
+  const baseElem = getBaseElem(group); // These are all they types of groups which hold single characters
+
+  return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom";
+};
+
+const assert = function assert(value) {
+  if (!value) {
+    throw new Error('Expected non-null, but got ' + String(value));
+  }
+
+  return value;
+};
+/**
+ * Return the protocol of a URL, or "_relative" if the URL does not specify a
+ * protocol (and thus is relative).
+ */
+
+const protocolFromUrl = function protocolFromUrl(url) {
+  const protocol = /^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(url);
+  return protocol != null ? protocol[1] : "_relative";
+};
+var utils = {
+  contains,
+  deflt,
+  escape,
+  hyphenate,
+  getBaseElem,
+  isCharacterBox,
+  protocolFromUrl
+};
+
+/* eslint no-console:0 */
+
+/**
+ * The main Settings object
+ *
+ * The current options stored are:
+ *  - displayMode: Whether the expression should be typeset as inline math
+ *                 (false, the default), meaning that the math starts in
+ *                 \textstyle and is placed in an inline-block); or as display
+ *                 math (true), meaning that the math starts in \displaystyle
+ *                 and is placed in a block with vertical margin.
+ */
+class Settings {
+  constructor(options) {
+    this.displayMode = void 0;
+    this.output = void 0;
+    this.leqno = void 0;
+    this.fleqn = void 0;
+    this.throwOnError = void 0;
+    this.errorColor = void 0;
+    this.macros = void 0;
+    this.minRuleThickness = void 0;
+    this.colorIsTextColor = void 0;
+    this.strict = void 0;
+    this.trust = void 0;
+    this.maxSize = void 0;
+    this.maxExpand = void 0;
+    // allow null options
+    options = options || {};
+    this.displayMode = utils.deflt(options.displayMode, false);
+    this.output = utils.deflt(options.output, "htmlAndMathml");
+    this.leqno = utils.deflt(options.leqno, false);
+    this.fleqn = utils.deflt(options.fleqn, false);
+    this.throwOnError = utils.deflt(options.throwOnError, true);
+    this.errorColor = utils.deflt(options.errorColor, "#cc0000");
+    this.macros = options.macros || {};
+    this.minRuleThickness = Math.max(0, utils.deflt(options.minRuleThickness, 0));
+    this.colorIsTextColor = utils.deflt(options.colorIsTextColor, false);
+    this.strict = utils.deflt(options.strict, "warn");
+    this.trust = utils.deflt(options.trust, false);
+    this.maxSize = Math.max(0, utils.deflt(options.maxSize, Infinity));
+    this.maxExpand = Math.max(0, utils.deflt(options.maxExpand, 1000));
+  }
+  /**
+   * Report nonstrict (non-LaTeX-compatible) input.
+   * Can safely not be called if `this.strict` is false in JavaScript.
+   */
+
+
+  reportNonstrict(errorCode, errorMsg, token) {
+    let strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      strict = strict(errorCode, errorMsg, token);
+    }
+
+    if (!strict || strict === "ignore") {
+      return;
+    } else if (strict === true || strict === "error") {
+      throw new ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + `${errorMsg} [${errorCode}]`, token);
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + `${errorMsg} [${errorCode}]`);
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + `unrecognized '${strict}': ${errorMsg} [${errorCode}]`);
+    }
+  }
+  /**
+   * Check whether to apply strict (LaTeX-adhering) behavior for unusual
+   * input (like `\\`).  Unlike `nonstrict`, will not throw an error;
+   * instead, "error" translates to a return value of `true`, while "ignore"
+   * translates to a return value of `false`.  May still print a warning:
+   * "warn" prints a warning and returns `false`.
+   * This is for the second category of `errorCode`s listed in the README.
+   */
+
+
+  useStrictBehavior(errorCode, errorMsg, token) {
+    let strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      // But catch any exceptions thrown by function, treating them
+      // like "error".
+      try {
+        strict = strict(errorCode, errorMsg, token);
+      } catch (error) {
+        strict = "error";
+      }
+    }
+
+    if (!strict || strict === "ignore") {
+      return false;
+    } else if (strict === true || strict === "error") {
+      return true;
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + `${errorMsg} [${errorCode}]`);
+      return false;
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + `unrecognized '${strict}': ${errorMsg} [${errorCode}]`);
+      return false;
+    }
+  }
+  /**
+   * Check whether to test potentially dangerous input, and return
+   * `true` (trusted) or `false` (untrusted).  The sole argument `context`
+   * should be an object with `command` field specifying the relevant LaTeX
+   * command (as a string starting with `\`), and any other arguments, etc.
+   * If `context` has a `url` field, a `protocol` field will automatically
+   * get added by this function (changing the specified object).
+   */
+
+
+  isTrusted(context) {
+    if (context.url && !context.protocol) {
+      context.protocol = utils.protocolFromUrl(context.url);
+    }
+
+    const trust = typeof this.trust === "function" ? this.trust(context) : this.trust;
+    return Boolean(trust);
+  }
+
+}
+
+/**
+ * This file contains information and classes for the various kinds of styles
+ * used in TeX. It provides a generic `Style` class, which holds information
+ * about a specific style. It then provides instances of all the different kinds
+ * of styles possible, and provides functions to move between them and get
+ * information about them.
+ */
+
+/**
+ * The main style class. Contains a unique id for the style, a size (which is
+ * the same for cramped and uncramped version of a style), and a cramped flag.
+ */
+class Style {
+  constructor(id, size, cramped) {
+    this.id = void 0;
+    this.size = void 0;
+    this.cramped = void 0;
+    this.id = id;
+    this.size = size;
+    this.cramped = cramped;
+  }
+  /**
+   * Get the style of a superscript given a base in the current style.
+   */
+
+
+  sup() {
+    return styles[sup[this.id]];
+  }
+  /**
+   * Get the style of a subscript given a base in the current style.
+   */
+
+
+  sub() {
+    return styles[sub[this.id]];
+  }
+  /**
+   * Get the style of a fraction numerator given the fraction in the current
+   * style.
+   */
+
+
+  fracNum() {
+    return styles[fracNum[this.id]];
+  }
+  /**
+   * Get the style of a fraction denominator given the fraction in the current
+   * style.
+   */
+
+
+  fracDen() {
+    return styles[fracDen[this.id]];
+  }
+  /**
+   * Get the cramped version of a style (in particular, cramping a cramped style
+   * doesn't change the style).
+   */
+
+
+  cramp() {
+    return styles[cramp[this.id]];
+  }
+  /**
+   * Get a text or display version of this style.
+   */
+
+
+  text() {
+    return styles[text[this.id]];
+  }
+  /**
+   * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
+   */
+
+
+  isTight() {
+    return this.size >= 2;
+  }
+
+} // Export an interface for type checking, but don't expose the implementation.
+// This way, no more styles can be generated.
+
+
+// IDs of the different styles
+const D = 0;
+const Dc = 1;
+const T = 2;
+const Tc = 3;
+const S = 4;
+const Sc = 5;
+const SS = 6;
+const SSc = 7; // Instances of the different styles
+
+const styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another
+
+const sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
+const sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
+const fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
+const fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
+const cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
+const text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles.
+
+var Style$1 = {
+  DISPLAY: styles[D],
+  TEXT: styles[T],
+  SCRIPT: styles[S],
+  SCRIPTSCRIPT: styles[SS]
+};
+
+/*
+ * This file defines the Unicode scripts and script families that we
+ * support. To add new scripts or families, just add a new entry to the
+ * scriptData array below. Adding scripts to the scriptData array allows
+ * characters from that script to appear in \text{} environments.
+ */
+
+/**
+ * Each script or script family has a name and an array of blocks.
+ * Each block is an array of two numbers which specify the start and
+ * end points (inclusive) of a block of Unicode codepoints.
+ */
+
+/**
+ * Unicode block data for the families of scripts we support in \text{}.
+ * Scripts only need to appear here if they do not have font metrics.
+ */
+const scriptData = [{
+  // Latin characters beyond the Latin-1 characters we have metrics for.
+  // Needed for Czech, Hungarian and Turkish text, for example.
+  name: 'latin',
+  blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B
+  [0x0300, 0x036f]]
+}, {
+  // The Cyrillic script used by Russian and related languages.
+  // A Cyrillic subset used to be supported as explicitly defined
+  // symbols in symbols.js
+  name: 'cyrillic',
+  blocks: [[0x0400, 0x04ff]]
+}, {
+  // The Brahmic scripts of South and Southeast Asia
+  // Devanagari (0900–097F)
+  // Bengali (0980–09FF)
+  // Gurmukhi (0A00–0A7F)
+  // Gujarati (0A80–0AFF)
+  // Oriya (0B00–0B7F)
+  // Tamil (0B80–0BFF)
+  // Telugu (0C00–0C7F)
+  // Kannada (0C80–0CFF)
+  // Malayalam (0D00–0D7F)
+  // Sinhala (0D80–0DFF)
+  // Thai (0E00–0E7F)
+  // Lao (0E80–0EFF)
+  // Tibetan (0F00–0FFF)
+  // Myanmar (1000–109F)
+  name: 'brahmic',
+  blocks: [[0x0900, 0x109F]]
+}, {
+  name: 'georgian',
+  blocks: [[0x10A0, 0x10ff]]
+}, {
+  // Chinese and Japanese.
+  // The "k" in cjk is for Korean, but we've separated Korean out
+  name: "cjk",
+  blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana
+  [0x4E00, 0x9FAF], // CJK ideograms
+  [0xFF00, 0xFF60]]
+}, {
+  // Korean
+  name: 'hangul',
+  blocks: [[0xAC00, 0xD7AF]]
+}];
+/**
+ * Given a codepoint, return the name of the script or script family
+ * it is from, or null if it is not part of a known block
+ */
+
+function scriptFromCodepoint(codepoint) {
+  for (let i = 0; i < scriptData.length; i++) {
+    const script = scriptData[i];
+
+    for (let i = 0; i < script.blocks.length; i++) {
+      const block = script.blocks[i];
+
+      if (codepoint >= block[0] && codepoint <= block[1]) {
+        return script.name;
+      }
+    }
+  }
+
+  return null;
+}
+/**
+ * A flattened version of all the supported blocks in a single array.
+ * This is an optimization to make supportedCodepoint() fast.
+ */
+
+const allBlocks = [];
+scriptData.forEach(s => s.blocks.forEach(b => allBlocks.push(...b)));
+/**
+ * Given a codepoint, return true if it falls within one of the
+ * scripts or script families defined above and false otherwise.
+ *
+ * Micro benchmarks shows that this is faster than
+ * /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test()
+ * in Firefox, Chrome and Node.
+ */
+
+function supportedCodepoint(codepoint) {
+  for (let i = 0; i < allBlocks.length; i += 2) {
+    if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) {
+      return true;
+    }
+  }
+
+  return false;
+}
+
+/**
+ * This file provides support to domTree.js and delimiter.js.
+ * It's a storehouse of path geometry for SVG images.
+ */
+// In all paths below, the viewBox-to-em scale is 1000:1.
+const hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping.
+// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option.
+// Think of variable extraViniculum as two detours in the SVG path.
+// The detour begins at the lower left of the area labeled extraViniculum below.
+// The detour proceeds one extraViniculum distance up and slightly to the right,
+// displacing the radiused corner between surd and viniculum. The radius is
+// traversed as usual, then the detour resumes. It goes right, to the end of
+// the very long viniculumn, then down one extraViniculum distance,
+// after which it resumes regular path geometry for the radical.
+
+/*                                                  viniculum
+                                                   /
+         /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum
+        / █████████████████████←0.04em (40 unit) std viniculum thickness
+       / /
+      / /
+     / /\
+    / / surd
+*/
+
+const sqrtMain = function sqrtMain(extraViniculum, hLinePad) {
+  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
+  return `M95,${622 + extraViniculum + hLinePad}
+c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
+c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
+c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
+s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
+c69,-144,104.5,-217.7,106.5,-221
+l${extraViniculum / 2.075} -${extraViniculum}
+c5.3,-9.3,12,-14,20,-14
+H400000v${40 + extraViniculum}H845.2724
+s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
+c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
+M${834 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) {
+  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
+  return `M263,${601 + extraViniculum + hLinePad}c0.7,0,18,39.7,52,119
+c34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120
+c340,-704.7,510.7,-1060.3,512,-1067
+l${extraViniculum / 2.084} -${extraViniculum}
+c4.7,-7.3,11,-11,19,-11
+H40000v${40 + extraViniculum}H1012.3
+s-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232
+c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
+s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
+c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
+M${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) {
+  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
+  return `M983 ${10 + extraViniculum + hLinePad}
+l${extraViniculum / 3.13} -${extraViniculum}
+c4,-6.7,10,-10,18,-10 H400000v${40 + extraViniculum}
+H1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7
+s-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744
+c-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30
+c26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722
+c56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5
+c53.7,-170.3,84.5,-266.8,92.5,-289.5z
+M${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) {
+  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
+  return `M424,${2398 + extraViniculum + hLinePad}
+c-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514
+c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20
+s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121
+s209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081
+l${extraViniculum / 4.223} -${extraViniculum}c4,-6.7,10,-10,18,-10 H400000
+v${40 + extraViniculum}H1014.6
+s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
+c-2,6,-10,9,-24,9
+c-8,0,-12,-0.7,-12,-2z M${1001 + extraViniculum} ${hLinePad}
+h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) {
+  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
+  return `M473,${2713 + extraViniculum + hLinePad}
+c339.3,-1799.3,509.3,-2700,510,-2702 l${extraViniculum / 5.298} -${extraViniculum}
+c3.3,-7.3,9.3,-11,18,-11 H400000v${40 + extraViniculum}H1017.7
+s-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9
+c-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200
+c0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26
+s76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,
+606zM${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}H1017.7z`;
+};
+
+const sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) {
+  // sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular
+  // One path edge has a variable length. It runs vertically from the viniculumn
+  // to a point near (14 units) the bottom of the surd. The viniculum
+  // is normally 40 units thick. So the length of the line in question is:
+  const vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum;
+  return `M702 ${extraViniculum + hLinePad}H400000${40 + extraViniculum}
+H742v${vertSegment}l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1
+h-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170
+c-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667
+219 661 l218 661zM702 ${hLinePad}H400000v${40 + extraViniculum}H742z`;
+};
+
+const sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) {
+  extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox.
+
+  let path = "";
+
+  switch (size) {
+    case "sqrtMain":
+      path = sqrtMain(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize1":
+      path = sqrtSize1(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize2":
+      path = sqrtSize2(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize3":
+      path = sqrtSize3(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize4":
+      path = sqrtSize4(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtTall":
+      path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight);
+  }
+
+  return path;
+};
+const path = {
+  // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
+  doubleleftarrow: `M262 157
+l10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3
+ 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28
+ 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5
+c2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5
+ 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87
+-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7
+-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z
+m8 0v40h399730v-40zm0 194v40h399730v-40z`,
+  // doublerightarrow is from glyph U+21D2 in font KaTeX Main
+  doublerightarrow: `M399738 392l
+-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5
+ 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88
+-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68
+-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18
+-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782
+c-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3
+-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z`,
+  // leftarrow is from glyph U+2190 in font KaTeX Main
+  leftarrow: `M400000 241H110l3-3c68.7-52.7 113.7-120
+ 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
+-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
+c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
+ 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
+ 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
+ l-3-3h399890zM100 241v40h399900v-40z`,
+  // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular
+  leftbrace: `M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
+-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
+ 5-6 9-10 13-.7 1-7.3 1-20 1H6z`,
+  leftbraceunder: `M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
+ 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
+ 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
+-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z`,
+  // overgroup is from the MnSymbol package (public domain)
+  leftgroup: `M400000 80
+H435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0
+ 435 0h399565z`,
+  leftgroupunder: `M400000 262
+H435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219
+ 435 219h399565z`,
+  // Harpoons are from glyph U+21BD in font KaTeX Main
+  leftharpoon: `M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3
+-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5
+-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7
+-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z`,
+  leftharpoonplus: `M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5
+ 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3
+-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7
+-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z
+m0 0v40h400000v-40z`,
+  leftharpoondown: `M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333
+ 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5
+ 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667
+-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z`,
+  leftharpoondownplus: `M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12
+ 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7
+-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0
+v40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z`,
+  // hook is from glyph U+21A9 in font KaTeX Main
+  lefthook: `M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5
+-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3
+-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21
+ 71.5 23h399859zM103 281v-40h399897v40z`,
+  leftlinesegment: `M40 281 V428 H0 V94 H40 V241 H400000 v40z
+M40 281 V428 H0 V94 H40 V241 H400000 v40z`,
+  leftmapsto: `M40 281 V448H0V74H40V241H400000v40z
+M40 281 V448H0V74H40V241H400000v40z`,
+  // tofrom is from glyph U+21C4 in font KaTeX AMS Regular
+  leftToFrom: `M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23
+-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8
+c28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3
+ 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z`,
+  longequal: `M0 50 h400000 v40H0z m0 194h40000v40H0z
+M0 50 h400000 v40H0z m0 194h40000v40H0z`,
+  midbrace: `M200428 334
+c-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14
+-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
+ 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11
+ 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z`,
+  midbraceunder: `M199572 214
+c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
+ 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
+ 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
+-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z`,
+  oiintSize1: `M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6
+-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z
+m368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8
+60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z`,
+  oiintSize2: `M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8
+-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z
+m502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2
+c0 110 84 276 504 276s502.4-166 502.4-276z`,
+  oiiintSize1: `M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6
+-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z
+m525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0
+85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z`,
+  oiiintSize2: `M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8
+-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z
+m770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1
+c0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z`,
+  rightarrow: `M0 241v40h399891c-47.3 35.3-84 78-110 128
+-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
+ 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
+ 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
+-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
+-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
+ 151.7 139 205zm0 0v40h399900v-40z`,
+  rightbrace: `M400000 542l
+-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5
+s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
+c124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z`,
+  rightbraceunder: `M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
+ 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
+-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z`,
+  rightgroup: `M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0
+ 3-1 3-3v-38c-76-158-257-219-435-219H0z`,
+  rightgroupunder: `M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18
+ 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z`,
+  rightharpoon: `M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3
+-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2
+-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58
+ 69.2 92 94.5zm0 0v40h399900v-40z`,
+  rightharpoonplus: `M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11
+-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7
+ 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z
+m0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z`,
+  rightharpoondown: `M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8
+ 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5
+-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95
+-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z`,
+  rightharpoondownplus: `M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8
+ 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3
+ 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3
+-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z
+m0-194v40h400000v-40zm0 0v40h400000v-40z`,
+  righthook: `M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3
+ 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0
+-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21
+ 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z`,
+  rightlinesegment: `M399960 241 V94 h40 V428 h-40 V281 H0 v-40z
+M399960 241 V94 h40 V428 h-40 V281 H0 v-40z`,
+  rightToFrom: `M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23
+ 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32
+-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142
+-167z M100 147v40h399900v-40zM0 341v40h399900v-40z`,
+  // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
+  twoheadleftarrow: `M0 167c68 40
+ 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69
+-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3
+-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19
+-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101
+ 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z`,
+  twoheadrightarrow: `M400000 167
+c-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3
+ 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42
+ 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333
+-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70
+ 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z`,
+  // tilde1 is a modified version of a glyph from the MnSymbol package
+  tilde1: `M200 55.538c-77 0-168 73.953-177 73.953-3 0-7
+-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0
+ 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0
+ 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128
+-68.267.847-113-73.952-191-73.952z`,
+  // ditto tilde2, tilde3, & tilde4
+  tilde2: `M344 55.266c-142 0-300.638 81.316-311.5 86.418
+-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9
+ 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114
+c1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751
+ 181.476 676 181.476c-149 0-189-126.21-332-126.21z`,
+  tilde3: `M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457
+-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0
+ 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697
+ 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696
+ -338 0-409-156.573-744-156.573z`,
+  tilde4: `M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345
+-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409
+ 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9
+ 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409
+ -175.236-744-175.236z`,
+  // vec is from glyph U+20D7 in font KaTeX Main
+  vec: `M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
+3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
+10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
+-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
+-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
+H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
+c-16-25.333-24-45-24-59z`,
+  // widehat1 is a modified version of a glyph from the MnSymbol package
+  widehat1: `M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22
+c-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z`,
+  // ditto widehat2, widehat3, & widehat4
+  widehat2: `M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10
+-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
+  widehat3: `M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10
+-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
+  widehat4: `M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10
+-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
+  // widecheck paths are all inverted versions of widehat
+  widecheck1: `M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,
+-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z`,
+  widecheck2: `M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,
+-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
+  widecheck3: `M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,
+-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
+  widecheck4: `M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,
+-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
+  // The next ten paths support reaction arrows from the mhchem package.
+  // Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX
+  // baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main
+  baraboveleftarrow: `M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202
+c4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5
+c-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130
+s-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47
+121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6
+s2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11
+c0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z
+M100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z`,
+  // rightarrowabovebar is mostly from glyph U+2192, KaTeX Main
+  rightarrowabovebar: `M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32
+-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0
+13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39
+-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5
+-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
+-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
+151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z`,
+  // The short left harpoon has 0.5em (i.e. 500 units) kern on the left end.
+  // Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em
+  baraboveshortleftharpoon: `M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11
+c1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17
+c2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21
+c-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40
+c-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z
+M0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z`,
+  rightharpoonaboveshortbar: `M0,241 l0,40c399126,0,399993,0,399993,0
+c4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,
+-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6
+c-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z
+M0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z`,
+  shortbaraboveleftharpoon: `M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11
+c1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,
+1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,
+-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z
+M93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z`,
+  shortrightharpoonabovebar: `M53,241l0,40c398570,0,399437,0,399437,0
+c4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,
+-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6
+c-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z
+M500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z`
+};
+
+/**
+ * This node represents a document fragment, which contains elements, but when
+ * placed into the DOM doesn't have any representation itself. It only contains
+ * children and doesn't have any DOM node properties.
+ */
+class DocumentFragment {
+  // HtmlDomNode
+  // Never used; needed for satisfying interface.
+  constructor(children) {
+    this.children = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.children = children;
+    this.classes = [];
+    this.height = 0;
+    this.depth = 0;
+    this.maxFontSize = 0;
+    this.style = {};
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /** Convert the fragment into a node. */
+
+
+  toNode() {
+    const frag = document.createDocumentFragment();
+
+    for (let i = 0; i < this.children.length; i++) {
+      frag.appendChild(this.children[i].toNode());
+    }
+
+    return frag;
+  }
+  /** Convert the fragment into HTML markup. */
+
+
+  toMarkup() {
+    let markup = ""; // Simply concatenate the markup for the children together.
+
+    for (let i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText. Applies to
+   * MathDomNode's only.
+   */
+
+
+  toText() {
+    // To avoid this, we would subclass documentFragment separately for
+    // MathML, but polyfills for subclassing is expensive per PR 1469.
+    // $FlowFixMe: Only works for ChildType = MathDomNode.
+    const toText = child => child.toText();
+
+    return this.children.map(toText).join("");
+  }
+
+}
+
+/**
+ * These objects store the data about the DOM nodes we create, as well as some
+ * extra data. They can then be transformed into real DOM nodes with the
+ * `toNode` function or HTML markup using `toMarkup`. They are useful for both
+ * storing extra properties on the nodes, as well as providing a way to easily
+ * work with the DOM.
+ *
+ * Similar functions for working with MathML nodes exist in mathMLTree.js.
+ *
+ * TODO: refactor `span` and `anchor` into common superclass when
+ * target environments support class inheritance
+ */
+
+/**
+ * Create an HTML className based on a list of classes. In addition to joining
+ * with spaces, we also remove empty classes.
+ */
+const createClass = function createClass(classes) {
+  return classes.filter(cls => cls).join(" ");
+};
+
+const initNode = function initNode(classes, options, style) {
+  this.classes = classes || [];
+  this.attributes = {};
+  this.height = 0;
+  this.depth = 0;
+  this.maxFontSize = 0;
+  this.style = style || {};
+
+  if (options) {
+    if (options.style.isTight()) {
+      this.classes.push("mtight");
+    }
+
+    const color = options.getColor();
+
+    if (color) {
+      this.style.color = color;
+    }
+  }
+};
+/**
+ * Convert into an HTML node
+ */
+
+
+const toNode = function toNode(tagName) {
+  const node = document.createElement(tagName); // Apply the class
+
+  node.className = createClass(this.classes); // Apply inline styles
+
+  for (const style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      // $FlowFixMe Flow doesn't seem to understand span.style's type.
+      node.style[style] = this.style[style];
+    }
+  } // Apply attributes
+
+
+  for (const attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      node.setAttribute(attr, this.attributes[attr]);
+    }
+  } // Append the children, also as HTML nodes
+
+
+  for (let i = 0; i < this.children.length; i++) {
+    node.appendChild(this.children[i].toNode());
+  }
+
+  return node;
+};
+/**
+ * Convert into an HTML markup string
+ */
+
+
+const toMarkup = function toMarkup(tagName) {
+  let markup = `<${tagName}`; // Add the class
+
+  if (this.classes.length) {
+    markup += ` class="${utils.escape(createClass(this.classes))}"`;
+  }
+
+  let styles = ""; // Add the styles, after hyphenation
+
+  for (const style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      styles += `${utils.hyphenate(style)}:${this.style[style]};`;
+    }
+  }
+
+  if (styles) {
+    markup += ` style="${utils.escape(styles)}"`;
+  } // Add the attributes
+
+
+  for (const attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      markup += ` ${attr}="${utils.escape(this.attributes[attr])}"`;
+    }
+  }
+
+  markup += ">"; // Add the markup of the children, also as markup
+
+  for (let i = 0; i < this.children.length; i++) {
+    markup += this.children[i].toMarkup();
+  }
+
+  markup += `</${tagName}>`;
+  return markup;
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+// This type does not include all CSS properties. Additional properties should
+// be added as needed.
+
+
+/**
+ * This node represents a span node, with a className, a list of children, and
+ * an inline style. It also contains information about its height, depth, and
+ * maxFontSize.
+ *
+ * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan
+ * otherwise. This typesafety is important when HTML builders access a span's
+ * children.
+ */
+class Span {
+  constructor(classes, children, options, style) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options, style);
+    this.children = children || [];
+  }
+  /**
+   * Sets an arbitrary attribute on the span. Warning: use this wisely. Not
+   * all browsers support attributes the same, and having too many custom
+   * attributes is probably bad.
+   */
+
+
+  setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+
+  toNode() {
+    return toNode.call(this, "span");
+  }
+
+  toMarkup() {
+    return toMarkup.call(this, "span");
+  }
+
+}
+/**
+ * This node represents an anchor (<a>) element with a hyperlink.  See `span`
+ * for further details.
+ */
+
+class Anchor {
+  constructor(href, classes, children, options) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options);
+    this.children = children || [];
+    this.setAttribute('href', href);
+  }
+
+  setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+
+  toNode() {
+    return toNode.call(this, "a");
+  }
+
+  toMarkup() {
+    return toMarkup.call(this, "a");
+  }
+
+}
+/**
+ * This node represents an image embed (<img>) element.
+ */
+
+class Img {
+  constructor(src, alt, style) {
+    this.src = void 0;
+    this.alt = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.alt = alt;
+    this.src = src;
+    this.classes = ["mord"];
+    this.style = style;
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+
+  toNode() {
+    const node = document.createElement("img");
+    node.src = this.src;
+    node.alt = this.alt;
+    node.className = "mord"; // Apply inline styles
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        // $FlowFixMe
+        node.style[style] = this.style[style];
+      }
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    let markup = `<img  src='${this.src} 'alt='${this.alt}' `; // Add the styles, after hyphenation
+
+    let styles = "";
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += `${utils.hyphenate(style)}:${this.style[style]};`;
+      }
+    }
+
+    if (styles) {
+      markup += ` style="${utils.escape(styles)}"`;
+    }
+
+    markup += "'/>";
+    return markup;
+  }
+
+}
+const iCombinations = {
+  'î': '\u0131\u0302',
+  'ï': '\u0131\u0308',
+  'í': '\u0131\u0301',
+  // 'ī': '\u0131\u0304', // enable when we add Extended Latin
+  'ì': '\u0131\u0300'
+};
+/**
+ * A symbol node contains information about a single symbol. It either renders
+ * to a single text node, or a span with a single text node in it, depending on
+ * whether it has CSS classes, styles, or needs italic correction.
+ */
+
+class SymbolNode {
+  constructor(text, height, depth, italic, skew, width, classes, style) {
+    this.text = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.italic = void 0;
+    this.skew = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.classes = void 0;
+    this.style = void 0;
+    this.text = text;
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.italic = italic || 0;
+    this.skew = skew || 0;
+    this.width = width || 0;
+    this.classes = classes || [];
+    this.style = style || {};
+    this.maxFontSize = 0; // Mark text from non-Latin scripts with specific classes so that we
+    // can specify which fonts to use.  This allows us to render these
+    // characters with a serif font in situations where the browser would
+    // either default to a sans serif or render a placeholder character.
+    // We use CSS class names like cjk_fallback, hangul_fallback and
+    // brahmic_fallback. See ./unicodeScripts.js for the set of possible
+    // script names
+
+    const script = scriptFromCodepoint(this.text.charCodeAt(0));
+
+    if (script) {
+      this.classes.push(script + "_fallback");
+    }
+
+    if (/[îïíì]/.test(this.text)) {
+      // add ī when we add Extended Latin
+      this.text = iCombinations[this.text];
+    }
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /**
+   * Creates a text node or span from a symbol node. Note that a span is only
+   * created if it is needed.
+   */
+
+
+  toNode() {
+    const node = document.createTextNode(this.text);
+    let span = null;
+
+    if (this.italic > 0) {
+      span = document.createElement("span");
+      span.style.marginRight = this.italic + "em";
+    }
+
+    if (this.classes.length > 0) {
+      span = span || document.createElement("span");
+      span.className = createClass(this.classes);
+    }
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type.
+
+        span.style[style] = this.style[style];
+      }
+    }
+
+    if (span) {
+      span.appendChild(node);
+      return span;
+    } else {
+      return node;
+    }
+  }
+  /**
+   * Creates markup for a symbol node.
+   */
+
+
+  toMarkup() {
+    // TODO(alpert): More duplication than I'd like from
+    // span.prototype.toMarkup and symbolNode.prototype.toNode...
+    let needsSpan = false;
+    let markup = "<span";
+
+    if (this.classes.length) {
+      needsSpan = true;
+      markup += " class=\"";
+      markup += utils.escape(createClass(this.classes));
+      markup += "\"";
+    }
+
+    let styles = "";
+
+    if (this.italic > 0) {
+      styles += "margin-right:" + this.italic + "em;";
+    }
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+      }
+    }
+
+    if (styles) {
+      needsSpan = true;
+      markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    const escaped = utils.escape(this.text);
+
+    if (needsSpan) {
+      markup += ">";
+      markup += escaped;
+      markup += "</span>";
+      return markup;
+    } else {
+      return escaped;
+    }
+  }
+
+}
+/**
+ * SVG nodes are used to render stretchy wide elements.
+ */
+
+class SvgNode {
+  constructor(children, attributes) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.children = children || [];
+    this.attributes = attributes || {};
+  }
+
+  toNode() {
+    const svgNS = "http://www.w3.org/2000/svg";
+    const node = document.createElementNS(svgNS, "svg"); // Apply attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (let i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    let markup = "<svg"; // Apply attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += ` ${attr}='${this.attributes[attr]}'`;
+      }
+    }
+
+    markup += ">";
+
+    for (let i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</svg>";
+    return markup;
+  }
+
+}
+class PathNode {
+  constructor(pathName, alternate) {
+    this.pathName = void 0;
+    this.alternate = void 0;
+    this.pathName = pathName;
+    this.alternate = alternate; // Used only for \sqrt
+  }
+
+  toNode() {
+    const svgNS = "http://www.w3.org/2000/svg";
+    const node = document.createElementNS(svgNS, "path");
+
+    if (this.alternate) {
+      node.setAttribute("d", this.alternate);
+    } else {
+      node.setAttribute("d", path[this.pathName]);
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    if (this.alternate) {
+      return `<path d='${this.alternate}'/>`;
+    } else {
+      return `<path d='${path[this.pathName]}'/>`;
+    }
+  }
+
+}
+class LineNode {
+  constructor(attributes) {
+    this.attributes = void 0;
+    this.attributes = attributes || {};
+  }
+
+  toNode() {
+    const svgNS = "http://www.w3.org/2000/svg";
+    const node = document.createElementNS(svgNS, "line"); // Apply attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    let markup = "<line";
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += ` ${attr}='${this.attributes[attr]}'`;
+      }
+    }
+
+    markup += "/>";
+    return markup;
+  }
+
+}
+function assertSymbolDomNode(group) {
+  if (group instanceof SymbolNode) {
+    return group;
+  } else {
+    throw new Error(`Expected symbolNode but got ${String(group)}.`);
+  }
+}
+function assertSpan(group) {
+  if (group instanceof Span) {
+    return group;
+  } else {
+    throw new Error(`Expected span<HtmlDomNode> but got ${String(group)}.`);
+  }
+}
+
+// This file is GENERATED by buildMetrics.sh. DO NOT MODIFY.
+var metricMap = {
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+    "9129": [0.90001, 0, 0, 0, 0.88889],
+    "9130": [0, 0.3, 0, 0, 0.88889],
+    "9131": [1e-05, 0.9, 0, 0, 0.88889],
+    "9132": [0.65002, 1.15, 0, 0, 0.88889],
+    "9133": [0.90001, 0, 0, 0, 0.88889],
+    "9143": [0.88502, 0.915, 0, 0, 1.05556],
+    "10216": [1.25003, 1.75, 0, 0, 0.80556],
+    "10217": [1.25003, 1.75, 0, 0, 0.80556],
+    "57344": [-0.00499, 0.605, 0, 0, 1.05556],
+    "57345": [-0.00499, 0.605, 0, 0, 1.05556],
+    "57680": [0, 0.12, 0, 0, 0.45],
+    "57681": [0, 0.12, 0, 0, 0.45],
+    "57682": [0, 0.12, 0, 0, 0.45],
+    "57683": [0, 0.12, 0, 0, 0.45]
+  },
+  "Typewriter-Regular": {
+    "32": [0, 0, 0, 0, 0.525],
+    "33": [0, 0.61111, 0, 0, 0.525],
+    "34": [0, 0.61111, 0, 0, 0.525],
+    "35": [0, 0.61111, 0, 0, 0.525],
+    "36": [0.08333, 0.69444, 0, 0, 0.525],
+    "37": [0.08333, 0.69444, 0, 0, 0.525],
+    "38": [0, 0.61111, 0, 0, 0.525],
+    "39": [0, 0.61111, 0, 0, 0.525],
+    "40": [0.08333, 0.69444, 0, 0, 0.525],
+    "41": [0.08333, 0.69444, 0, 0, 0.525],
+    "42": [0, 0.52083, 0, 0, 0.525],
+    "43": [-0.08056, 0.53055, 0, 0, 0.525],
+    "44": [0.13889, 0.125, 0, 0, 0.525],
+    "45": [-0.08056, 0.53055, 0, 0, 0.525],
+    "46": [0, 0.125, 0, 0, 0.525],
+    "47": [0.08333, 0.69444, 0, 0, 0.525],
+    "48": [0, 0.61111, 0, 0, 0.525],
+    "49": [0, 0.61111, 0, 0, 0.525],
+    "50": [0, 0.61111, 0, 0, 0.525],
+    "51": [0, 0.61111, 0, 0, 0.525],
+    "52": [0, 0.61111, 0, 0, 0.525],
+    "53": [0, 0.61111, 0, 0, 0.525],
+    "54": [0, 0.61111, 0, 0, 0.525],
+    "55": [0, 0.61111, 0, 0, 0.525],
+    "56": [0, 0.61111, 0, 0, 0.525],
+    "57": [0, 0.61111, 0, 0, 0.525],
+    "58": [0, 0.43056, 0, 0, 0.525],
+    "59": [0.13889, 0.43056, 0, 0, 0.525],
+    "60": [-0.05556, 0.55556, 0, 0, 0.525],
+    "61": [-0.19549, 0.41562, 0, 0, 0.525],
+    "62": [-0.05556, 0.55556, 0, 0, 0.525],
+    "63": [0, 0.61111, 0, 0, 0.525],
+    "64": [0, 0.61111, 0, 0, 0.525],
+    "65": [0, 0.61111, 0, 0, 0.525],
+    "66": [0, 0.61111, 0, 0, 0.525],
+    "67": [0, 0.61111, 0, 0, 0.525],
+    "68": [0, 0.61111, 0, 0, 0.525],
+    "69": [0, 0.61111, 0, 0, 0.525],
+    "70": [0, 0.61111, 0, 0, 0.525],
+    "71": [0, 0.61111, 0, 0, 0.525],
+    "72": [0, 0.61111, 0, 0, 0.525],
+    "73": [0, 0.61111, 0, 0, 0.525],
+    "74": [0, 0.61111, 0, 0, 0.525],
+    "75": [0, 0.61111, 0, 0, 0.525],
+    "76": [0, 0.61111, 0, 0, 0.525],
+    "77": [0, 0.61111, 0, 0, 0.525],
+    "78": [0, 0.61111, 0, 0, 0.525],
+    "79": [0, 0.61111, 0, 0, 0.525],
+    "80": [0, 0.61111, 0, 0, 0.525],
+    "81": [0.13889, 0.61111, 0, 0, 0.525],
+    "82": [0, 0.61111, 0, 0, 0.525],
+    "83": [0, 0.61111, 0, 0, 0.525],
+    "84": [0, 0.61111, 0, 0, 0.525],
+    "85": [0, 0.61111, 0, 0, 0.525],
+    "86": [0, 0.61111, 0, 0, 0.525],
+    "87": [0, 0.61111, 0, 0, 0.525],
+    "88": [0, 0.61111, 0, 0, 0.525],
+    "89": [0, 0.61111, 0, 0, 0.525],
+    "90": [0, 0.61111, 0, 0, 0.525],
+    "91": [0.08333, 0.69444, 0, 0, 0.525],
+    "92": [0.08333, 0.69444, 0, 0, 0.525],
+    "93": [0.08333, 0.69444, 0, 0, 0.525],
+    "94": [0, 0.61111, 0, 0, 0.525],
+    "95": [0.09514, 0, 0, 0, 0.525],
+    "96": [0, 0.61111, 0, 0, 0.525],
+    "97": [0, 0.43056, 0, 0, 0.525],
+    "98": [0, 0.61111, 0, 0, 0.525],
+    "99": [0, 0.43056, 0, 0, 0.525],
+    "100": [0, 0.61111, 0, 0, 0.525],
+    "101": [0, 0.43056, 0, 0, 0.525],
+    "102": [0, 0.61111, 0, 0, 0.525],
+    "103": [0.22222, 0.43056, 0, 0, 0.525],
+    "104": [0, 0.61111, 0, 0, 0.525],
+    "105": [0, 0.61111, 0, 0, 0.525],
+    "106": [0.22222, 0.61111, 0, 0, 0.525],
+    "107": [0, 0.61111, 0, 0, 0.525],
+    "108": [0, 0.61111, 0, 0, 0.525],
+    "109": [0, 0.43056, 0, 0, 0.525],
+    "110": [0, 0.43056, 0, 0, 0.525],
+    "111": [0, 0.43056, 0, 0, 0.525],
+    "112": [0.22222, 0.43056, 0, 0, 0.525],
+    "113": [0.22222, 0.43056, 0, 0, 0.525],
+    "114": [0, 0.43056, 0, 0, 0.525],
+    "115": [0, 0.43056, 0, 0, 0.525],
+    "116": [0, 0.55358, 0, 0, 0.525],
+    "117": [0, 0.43056, 0, 0, 0.525],
+    "118": [0, 0.43056, 0, 0, 0.525],
+    "119": [0, 0.43056, 0, 0, 0.525],
+    "120": [0, 0.43056, 0, 0, 0.525],
+    "121": [0.22222, 0.43056, 0, 0, 0.525],
+    "122": [0, 0.43056, 0, 0, 0.525],
+    "123": [0.08333, 0.69444, 0, 0, 0.525],
+    "124": [0.08333, 0.69444, 0, 0, 0.525],
+    "125": [0.08333, 0.69444, 0, 0, 0.525],
+    "126": [0, 0.61111, 0, 0, 0.525],
+    "127": [0, 0.61111, 0, 0, 0.525],
+    "160": [0, 0, 0, 0, 0.525],
+    "176": [0, 0.61111, 0, 0, 0.525],
+    "184": [0.19445, 0, 0, 0, 0.525],
+    "305": [0, 0.43056, 0, 0, 0.525],
+    "567": [0.22222, 0.43056, 0, 0, 0.525],
+    "711": [0, 0.56597, 0, 0, 0.525],
+    "713": [0, 0.56555, 0, 0, 0.525],
+    "714": [0, 0.61111, 0, 0, 0.525],
+    "715": [0, 0.61111, 0, 0, 0.525],
+    "728": [0, 0.61111, 0, 0, 0.525],
+    "730": [0, 0.61111, 0, 0, 0.525],
+    "770": [0, 0.61111, 0, 0, 0.525],
+    "771": [0, 0.61111, 0, 0, 0.525],
+    "776": [0, 0.61111, 0, 0, 0.525],
+    "915": [0, 0.61111, 0, 0, 0.525],
+    "916": [0, 0.61111, 0, 0, 0.525],
+    "920": [0, 0.61111, 0, 0, 0.525],
+    "923": [0, 0.61111, 0, 0, 0.525],
+    "926": [0, 0.61111, 0, 0, 0.525],
+    "928": [0, 0.61111, 0, 0, 0.525],
+    "931": [0, 0.61111, 0, 0, 0.525],
+    "933": [0, 0.61111, 0, 0, 0.525],
+    "934": [0, 0.61111, 0, 0, 0.525],
+    "936": [0, 0.61111, 0, 0, 0.525],
+    "937": [0, 0.61111, 0, 0, 0.525],
+    "8216": [0, 0.61111, 0, 0, 0.525],
+    "8217": [0, 0.61111, 0, 0, 0.525],
+    "8242": [0, 0.61111, 0, 0, 0.525],
+    "9251": [0.11111, 0.21944, 0, 0, 0.525]
+  }
+};
+
+/**
+ * This file contains metrics regarding fonts and individual symbols. The sigma
+ * and xi variables, as well as the metricMap map contain data extracted from
+ * TeX, TeX font metrics, and the TTF files. These data are then exposed via the
+ * `metrics` variable and the getCharacterMetrics function.
+ */
+// In TeX, there are actually three sets of dimensions, one for each of
+// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4:
+// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt).  These are
+// provided in the the arrays below, in that order.
+//
+// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively.
+// This was determined by running the following script:
+//
+//     latex -interaction=nonstopmode \
+//     '\documentclass{article}\usepackage{amsmath}\begin{document}' \
+//     '$a$ \expandafter\show\the\textfont2' \
+//     '\expandafter\show\the\scriptfont2' \
+//     '\expandafter\show\the\scriptscriptfont2' \
+//     '\stop'
+//
+// The metrics themselves were retreived using the following commands:
+//
+//     tftopl cmsy10
+//     tftopl cmsy7
+//     tftopl cmsy5
+//
+// The output of each of these commands is quite lengthy.  The only part we
+// care about is the FONTDIMEN section. Each value is measured in EMs.
+const sigmasAndXis = {
+  slant: [0.250, 0.250, 0.250],
+  // sigma1
+  space: [0.000, 0.000, 0.000],
+  // sigma2
+  stretch: [0.000, 0.000, 0.000],
+  // sigma3
+  shrink: [0.000, 0.000, 0.000],
+  // sigma4
+  xHeight: [0.431, 0.431, 0.431],
+  // sigma5
+  quad: [1.000, 1.171, 1.472],
+  // sigma6
+  extraSpace: [0.000, 0.000, 0.000],
+  // sigma7
+  num1: [0.677, 0.732, 0.925],
+  // sigma8
+  num2: [0.394, 0.384, 0.387],
+  // sigma9
+  num3: [0.444, 0.471, 0.504],
+  // sigma10
+  denom1: [0.686, 0.752, 1.025],
+  // sigma11
+  denom2: [0.345, 0.344, 0.532],
+  // sigma12
+  sup1: [0.413, 0.503, 0.504],
+  // sigma13
+  sup2: [0.363, 0.431, 0.404],
+  // sigma14
+  sup3: [0.289, 0.286, 0.294],
+  // sigma15
+  sub1: [0.150, 0.143, 0.200],
+  // sigma16
+  sub2: [0.247, 0.286, 0.400],
+  // sigma17
+  supDrop: [0.386, 0.353, 0.494],
+  // sigma18
+  subDrop: [0.050, 0.071, 0.100],
+  // sigma19
+  delim1: [2.390, 1.700, 1.980],
+  // sigma20
+  delim2: [1.010, 1.157, 1.420],
+  // sigma21
+  axisHeight: [0.250, 0.250, 0.250],
+  // sigma22
+  // These font metrics are extracted from TeX by using tftopl on cmex10.tfm;
+  // they correspond to the font parameters of the extension fonts (family 3).
+  // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to
+  // match cmex7, we'd use cmex7.tfm values for script and scriptscript
+  // values.
+  defaultRuleThickness: [0.04, 0.049, 0.049],
+  // xi8; cmex7: 0.049
+  bigOpSpacing1: [0.111, 0.111, 0.111],
+  // xi9
+  bigOpSpacing2: [0.166, 0.166, 0.166],
+  // xi10
+  bigOpSpacing3: [0.2, 0.2, 0.2],
+  // xi11
+  bigOpSpacing4: [0.6, 0.611, 0.611],
+  // xi12; cmex7: 0.611
+  bigOpSpacing5: [0.1, 0.143, 0.143],
+  // xi13; cmex7: 0.143
+  // The \sqrt rule width is taken from the height of the surd character.
+  // Since we use the same font at all sizes, this thickness doesn't scale.
+  sqrtRuleThickness: [0.04, 0.04, 0.04],
+  // This value determines how large a pt is, for metrics which are defined
+  // in terms of pts.
+  // This value is also used in katex.less; if you change it make sure the
+  // values match.
+  ptPerEm: [10.0, 10.0, 10.0],
+  // The space between adjacent `|` columns in an array definition. From
+  // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm.
+  doubleRuleSep: [0.2, 0.2, 0.2],
+  // The width of separator lines in {array} environments. From
+  // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm.
+  arrayRuleWidth: [0.04, 0.04, 0.04],
+  // Two values from LaTeX source2e:
+  fboxsep: [0.3, 0.3, 0.3],
+  //        3 pt / ptPerEm
+  fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm
+
+}; // This map contains a mapping from font name and character code to character
+// should have Latin-1 and Cyrillic characters, but may not depending on the
+// operating system.  The metrics do not account for extra height from the
+// accents.  In the case of Cyrillic characters which have both ascenders and
+// descenders we prefer approximations with ascenders, primarily to prevent
+// the fraction bar or root line from intersecting the glyph.
+// TODO(kevinb) allow union of multiple glyph metrics for better accuracy.
+
+const extraCharacterMap = {
+  // Latin-1
+  'Å': 'A',
+  'Ç': 'C',
+  'Ð': 'D',
+  'Þ': 'o',
+  'å': 'a',
+  'ç': 'c',
+  'ð': 'd',
+  'þ': 'o',
+  // Cyrillic
+  'А': 'A',
+  'Б': 'B',
+  'В': 'B',
+  'Г': 'F',
+  'Д': 'A',
+  'Е': 'E',
+  'Ж': 'K',
+  'З': '3',
+  'И': 'N',
+  'Й': 'N',
+  'К': 'K',
+  'Л': 'N',
+  'М': 'M',
+  'Н': 'H',
+  'О': 'O',
+  'П': 'N',
+  'Р': 'P',
+  'С': 'C',
+  'Т': 'T',
+  'У': 'y',
+  'Ф': 'O',
+  'Х': 'X',
+  'Ц': 'U',
+  'Ч': 'h',
+  'Ш': 'W',
+  'Щ': 'W',
+  'Ъ': 'B',
+  'Ы': 'X',
+  'Ь': 'B',
+  'Э': '3',
+  'Ю': 'X',
+  'Я': 'R',
+  'а': 'a',
+  'б': 'b',
+  'в': 'a',
+  'г': 'r',
+  'д': 'y',
+  'е': 'e',
+  'ж': 'm',
+  'з': 'e',
+  'и': 'n',
+  'й': 'n',
+  'к': 'n',
+  'л': 'n',
+  'м': 'm',
+  'н': 'n',
+  'о': 'o',
+  'п': 'n',
+  'р': 'p',
+  'с': 'c',
+  'т': 'o',
+  'у': 'y',
+  'ф': 'b',
+  'х': 'x',
+  'ц': 'n',
+  'ч': 'n',
+  'ш': 'w',
+  'щ': 'w',
+  'ъ': 'a',
+  'ы': 'm',
+  'ь': 'a',
+  'э': 'e',
+  'ю': 'm',
+  'я': 'r'
+};
+
+/**
+ * This function adds new font metrics to default metricMap
+ * It can also override existing metrics
+ */
+function setFontMetrics(fontName, metrics) {
+  metricMap[fontName] = metrics;
+}
+/**
+ * This function is a convenience function for looking up information in the
+ * metricMap table. It takes a character as a string, and a font.
+ *
+ * Note: the `width` property may be undefined if fontMetricsData.js wasn't
+ * built using `Make extended_metrics`.
+ */
+
+function getCharacterMetrics(character, font, mode) {
+  if (!metricMap[font]) {
+    throw new Error(`Font metrics not found for font: ${font}.`);
+  }
+
+  let ch = character.charCodeAt(0);
+  let metrics = metricMap[font][ch];
+
+  if (!metrics && character[0] in extraCharacterMap) {
+    ch = extraCharacterMap[character[0]].charCodeAt(0);
+    metrics = metricMap[font][ch];
+  }
+
+  if (!metrics && mode === 'text') {
+    // We don't typically have font metrics for Asian scripts.
+    // But since we support them in text mode, we need to return
+    // some sort of metrics.
+    // So if the character is in a script we support but we
+    // don't have metrics for it, just use the metrics for
+    // the Latin capital letter M. This is close enough because
+    // we (currently) only care about the height of the glpyh
+    // not its width.
+    if (supportedCodepoint(ch)) {
+      metrics = metricMap[font][77]; // 77 is the charcode for 'M'
+    }
+  }
+
+  if (metrics) {
+    return {
+      depth: metrics[0],
+      height: metrics[1],
+      italic: metrics[2],
+      skew: metrics[3],
+      width: metrics[4]
+    };
+  }
+}
+const fontMetricsBySizeIndex = {};
+/**
+ * Get the font metrics for a given size.
+ */
+
+function getGlobalMetrics(size) {
+  let sizeIndex;
+
+  if (size >= 5) {
+    sizeIndex = 0;
+  } else if (size >= 3) {
+    sizeIndex = 1;
+  } else {
+    sizeIndex = 2;
+  }
+
+  if (!fontMetricsBySizeIndex[sizeIndex]) {
+    const metrics = fontMetricsBySizeIndex[sizeIndex] = {
+      cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18
+    };
+
+    for (const key in sigmasAndXis) {
+      if (sigmasAndXis.hasOwnProperty(key)) {
+        metrics[key] = sigmasAndXis[key][sizeIndex];
+      }
+    }
+  }
+
+  return fontMetricsBySizeIndex[sizeIndex];
+}
+
+/**
+ * This file holds a list of all no-argument functions and single-character
+ * symbols (like 'a' or ';').
+ *
+ * For each of the symbols, there are three properties they can have:
+ * - font (required): the font to be used for this symbol. Either "main" (the
+     normal font), or "ams" (the ams fonts).
+ * - group (required): the ParseNode group type the symbol should have (i.e.
+     "textord", "mathord", etc).
+     See https://github.com/KaTeX/KaTeX/wiki/Examining-TeX#group-types
+ * - replace: the character that this symbol or function should be
+ *   replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi
+ *   character in the main font).
+ *
+ * The outermost map in the table indicates what mode the symbols should be
+ * accepted in (e.g. "math" or "text").
+ */
+// Some of these have a "-token" suffix since these are also used as `ParseNode`
+// types for raw text tokens, and we want to avoid conflicts with higher-level
+// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by
+// looking up the `symbols` map.
+const ATOMS = {
+  "bin": 1,
+  "close": 1,
+  "inner": 1,
+  "open": 1,
+  "punct": 1,
+  "rel": 1
+};
+const NON_ATOMS = {
+  "accent-token": 1,
+  "mathord": 1,
+  "op-token": 1,
+  "spacing": 1,
+  "textord": 1
+};
+const symbols = {
+  "math": {},
+  "text": {}
+};
+/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */
+
+function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) {
+  symbols[mode][name] = {
+    font,
+    group,
+    replace
+  };
+
+  if (acceptUnicodeChar && replace) {
+    symbols[mode][replace] = symbols[mode][name];
+  }
+} // Some abbreviations for commonly used strings.
+// This helps minify the code, and also spotting typos using jshint.
+// modes:
+
+const math = "math";
+const text$1 = "text"; // fonts:
+
+const main = "main";
+const ams = "ams"; // groups:
+
+const accent = "accent-token";
+const bin = "bin";
+const close = "close";
+const inner = "inner";
+const mathord = "mathord";
+const op = "op-token";
+const open = "open";
+const punct = "punct";
+const rel = "rel";
+const spacing = "spacing";
+const textord = "textord"; // Now comes the symbol table
+// Relation Symbols
+
+defineSymbol(math, main, rel, "\u2261", "\\equiv", true);
+defineSymbol(math, main, rel, "\u227a", "\\prec", true);
+defineSymbol(math, main, rel, "\u227b", "\\succ", true);
+defineSymbol(math, main, rel, "\u223c", "\\sim", true);
+defineSymbol(math, main, rel, "\u22a5", "\\perp");
+defineSymbol(math, main, rel, "\u2aaf", "\\preceq", true);
+defineSymbol(math, main, rel, "\u2ab0", "\\succeq", true);
+defineSymbol(math, main, rel, "\u2243", "\\simeq", true);
+defineSymbol(math, main, rel, "\u2223", "\\mid", true);
+defineSymbol(math, main, rel, "\u226a", "\\ll", true);
+defineSymbol(math, main, rel, "\u226b", "\\gg", true);
+defineSymbol(math, main, rel, "\u224d", "\\asymp", true);
+defineSymbol(math, main, rel, "\u2225", "\\parallel");
+defineSymbol(math, main, rel, "\u22c8", "\\bowtie", true);
+defineSymbol(math, main, rel, "\u2323", "\\smile", true);
+defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq", true);
+defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq", true);
+defineSymbol(math, main, rel, "\u2250", "\\doteq", true);
+defineSymbol(math, main, rel, "\u2322", "\\frown", true);
+defineSymbol(math, main, rel, "\u220b", "\\ni", true);
+defineSymbol(math, main, rel, "\u221d", "\\propto", true);
+defineSymbol(math, main, rel, "\u22a2", "\\vdash", true);
+defineSymbol(math, main, rel, "\u22a3", "\\dashv", true);
+defineSymbol(math, main, rel, "\u220b", "\\owns"); // Punctuation
+
+defineSymbol(math, main, punct, "\u002e", "\\ldotp");
+defineSymbol(math, main, punct, "\u22c5", "\\cdotp"); // Misc Symbols
+
+defineSymbol(math, main, textord, "\u0023", "\\#");
+defineSymbol(text$1, main, textord, "\u0023", "\\#");
+defineSymbol(math, main, textord, "\u0026", "\\&");
+defineSymbol(text$1, main, textord, "\u0026", "\\&");
+defineSymbol(math, main, textord, "\u2135", "\\aleph", true);
+defineSymbol(math, main, textord, "\u2200", "\\forall", true);
+defineSymbol(math, main, textord, "\u210f", "\\hbar", true);
+defineSymbol(math, main, textord, "\u2203", "\\exists", true);
+defineSymbol(math, main, textord, "\u2207", "\\nabla", true);
+defineSymbol(math, main, textord, "\u266d", "\\flat", true);
+defineSymbol(math, main, textord, "\u2113", "\\ell", true);
+defineSymbol(math, main, textord, "\u266e", "\\natural", true);
+defineSymbol(math, main, textord, "\u2663", "\\clubsuit", true);
+defineSymbol(math, main, textord, "\u2118", "\\wp", true);
+defineSymbol(math, main, textord, "\u266f", "\\sharp", true);
+defineSymbol(math, main, textord, "\u2662", "\\diamondsuit", true);
+defineSymbol(math, main, textord, "\u211c", "\\Re", true);
+defineSymbol(math, main, textord, "\u2661", "\\heartsuit", true);
+defineSymbol(math, main, textord, "\u2111", "\\Im", true);
+defineSymbol(math, main, textord, "\u2660", "\\spadesuit", true);
+defineSymbol(text$1, main, textord, "\u00a7", "\\S", true);
+defineSymbol(text$1, main, textord, "\u00b6", "\\P", true); // Math and Text
+
+defineSymbol(math, main, textord, "\u2020", "\\dag");
+defineSymbol(text$1, main, textord, "\u2020", "\\dag");
+defineSymbol(text$1, main, textord, "\u2020", "\\textdagger");
+defineSymbol(math, main, textord, "\u2021", "\\ddag");
+defineSymbol(text$1, main, textord, "\u2021", "\\ddag");
+defineSymbol(text$1, main, textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters
+
+defineSymbol(math, main, close, "\u23b1", "\\rmoustache", true);
+defineSymbol(math, main, open, "\u23b0", "\\lmoustache", true);
+defineSymbol(math, main, close, "\u27ef", "\\rgroup", true);
+defineSymbol(math, main, open, "\u27ee", "\\lgroup", true); // Binary Operators
+
+defineSymbol(math, main, bin, "\u2213", "\\mp", true);
+defineSymbol(math, main, bin, "\u2296", "\\ominus", true);
+defineSymbol(math, main, bin, "\u228e", "\\uplus", true);
+defineSymbol(math, main, bin, "\u2293", "\\sqcap", true);
+defineSymbol(math, main, bin, "\u2217", "\\ast");
+defineSymbol(math, main, bin, "\u2294", "\\sqcup", true);
+defineSymbol(math, main, bin, "\u25ef", "\\bigcirc");
+defineSymbol(math, main, bin, "\u2219", "\\bullet");
+defineSymbol(math, main, bin, "\u2021", "\\ddagger");
+defineSymbol(math, main, bin, "\u2240", "\\wr", true);
+defineSymbol(math, main, bin, "\u2a3f", "\\amalg");
+defineSymbol(math, main, bin, "\u0026", "\\And"); // from amsmath
+// Arrow Symbols
+
+defineSymbol(math, main, rel, "\u27f5", "\\longleftarrow", true);
+defineSymbol(math, main, rel, "\u21d0", "\\Leftarrow", true);
+defineSymbol(math, main, rel, "\u27f8", "\\Longleftarrow", true);
+defineSymbol(math, main, rel, "\u27f6", "\\longrightarrow", true);
+defineSymbol(math, main, rel, "\u21d2", "\\Rightarrow", true);
+defineSymbol(math, main, rel, "\u27f9", "\\Longrightarrow", true);
+defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow", true);
+defineSymbol(math, main, rel, "\u27f7", "\\longleftrightarrow", true);
+defineSymbol(math, main, rel, "\u21d4", "\\Leftrightarrow", true);
+defineSymbol(math, main, rel, "\u27fa", "\\Longleftrightarrow", true);
+defineSymbol(math, main, rel, "\u21a6", "\\mapsto", true);
+defineSymbol(math, main, rel, "\u27fc", "\\longmapsto", true);
+defineSymbol(math, main, rel, "\u2197", "\\nearrow", true);
+defineSymbol(math, main, rel, "\u21a9", "\\hookleftarrow", true);
+defineSymbol(math, main, rel, "\u21aa", "\\hookrightarrow", true);
+defineSymbol(math, main, rel, "\u2198", "\\searrow", true);
+defineSymbol(math, main, rel, "\u21bc", "\\leftharpoonup", true);
+defineSymbol(math, main, rel, "\u21c0", "\\rightharpoonup", true);
+defineSymbol(math, main, rel, "\u2199", "\\swarrow", true);
+defineSymbol(math, main, rel, "\u21bd", "\\leftharpoondown", true);
+defineSymbol(math, main, rel, "\u21c1", "\\rightharpoondown", true);
+defineSymbol(math, main, rel, "\u2196", "\\nwarrow", true);
+defineSymbol(math, main, rel, "\u21cc", "\\rightleftharpoons", true); // AMS Negated Binary Relations
+
+defineSymbol(math, ams, rel, "\u226e", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro.
+
+defineSymbol(math, ams, rel, "\ue010", "\\@nleqslant");
+defineSymbol(math, ams, rel, "\ue011", "\\@nleqq");
+defineSymbol(math, ams, rel, "\u2a87", "\\lneq", true);
+defineSymbol(math, ams, rel, "\u2268", "\\lneqq", true);
+defineSymbol(math, ams, rel, "\ue00c", "\\@lvertneqq");
+defineSymbol(math, ams, rel, "\u22e6", "\\lnsim", true);
+defineSymbol(math, ams, rel, "\u2a89", "\\lnapprox", true);
+defineSymbol(math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u22e0", "\\npreceq", true);
+defineSymbol(math, ams, rel, "\u22e8", "\\precnsim", true);
+defineSymbol(math, ams, rel, "\u2ab9", "\\precnapprox", true);
+defineSymbol(math, ams, rel, "\u2241", "\\nsim", true);
+defineSymbol(math, ams, rel, "\ue006", "\\@nshortmid");
+defineSymbol(math, ams, rel, "\u2224", "\\nmid", true);
+defineSymbol(math, ams, rel, "\u22ac", "\\nvdash", true);
+defineSymbol(math, ams, rel, "\u22ad", "\\nvDash", true);
+defineSymbol(math, ams, rel, "\u22ea", "\\ntriangleleft");
+defineSymbol(math, ams, rel, "\u22ec", "\\ntrianglelefteq", true);
+defineSymbol(math, ams, rel, "\u228a", "\\subsetneq", true);
+defineSymbol(math, ams, rel, "\ue01a", "\\@varsubsetneq");
+defineSymbol(math, ams, rel, "\u2acb", "\\subsetneqq", true);
+defineSymbol(math, ams, rel, "\ue017", "\\@varsubsetneqq");
+defineSymbol(math, ams, rel, "\u226f", "\\ngtr", true);
+defineSymbol(math, ams, rel, "\ue00f", "\\@ngeqslant");
+defineSymbol(math, ams, rel, "\ue00e", "\\@ngeqq");
+defineSymbol(math, ams, rel, "\u2a88", "\\gneq", true);
+defineSymbol(math, ams, rel, "\u2269", "\\gneqq", true);
+defineSymbol(math, ams, rel, "\ue00d", "\\@gvertneqq");
+defineSymbol(math, ams, rel, "\u22e7", "\\gnsim", true);
+defineSymbol(math, ams, rel, "\u2a8a", "\\gnapprox", true);
+defineSymbol(math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u22e1", "\\nsucceq", true);
+defineSymbol(math, ams, rel, "\u22e9", "\\succnsim", true);
+defineSymbol(math, ams, rel, "\u2aba", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u2246", "\\ncong", true);
+defineSymbol(math, ams, rel, "\ue007", "\\@nshortparallel");
+defineSymbol(math, ams, rel, "\u2226", "\\nparallel", true);
+defineSymbol(math, ams, rel, "\u22af", "\\nVDash", true);
+defineSymbol(math, ams, rel, "\u22eb", "\\ntriangleright");
+defineSymbol(math, ams, rel, "\u22ed", "\\ntrianglerighteq", true);
+defineSymbol(math, ams, rel, "\ue018", "\\@nsupseteqq");
+defineSymbol(math, ams, rel, "\u228b", "\\supsetneq", true);
+defineSymbol(math, ams, rel, "\ue01b", "\\@varsupsetneq");
+defineSymbol(math, ams, rel, "\u2acc", "\\supsetneqq", true);
+defineSymbol(math, ams, rel, "\ue019", "\\@varsupsetneqq");
+defineSymbol(math, ams, rel, "\u22ae", "\\nVdash", true);
+defineSymbol(math, ams, rel, "\u2ab5", "\\precneqq", true);
+defineSymbol(math, ams, rel, "\u2ab6", "\\succneqq", true);
+defineSymbol(math, ams, rel, "\ue016", "\\@nsubseteqq");
+defineSymbol(math, ams, bin, "\u22b4", "\\unlhd");
+defineSymbol(math, ams, bin, "\u22b5", "\\unrhd"); // AMS Negated Arrows
+
+defineSymbol(math, ams, rel, "\u219a", "\\nleftarrow", true);
+defineSymbol(math, ams, rel, "\u219b", "\\nrightarrow", true);
+defineSymbol(math, ams, rel, "\u21cd", "\\nLeftarrow", true);
+defineSymbol(math, ams, rel, "\u21cf", "\\nRightarrow", true);
+defineSymbol(math, ams, rel, "\u21ae", "\\nleftrightarrow", true);
+defineSymbol(math, ams, rel, "\u21ce", "\\nLeftrightarrow", true); // AMS Misc
+
+defineSymbol(math, ams, rel, "\u25b3", "\\vartriangle");
+defineSymbol(math, ams, textord, "\u210f", "\\hslash");
+defineSymbol(math, ams, textord, "\u25bd", "\\triangledown");
+defineSymbol(math, ams, textord, "\u25ca", "\\lozenge");
+defineSymbol(math, ams, textord, "\u24c8", "\\circledS");
+defineSymbol(math, ams, textord, "\u00ae", "\\circledR");
+defineSymbol(text$1, ams, textord, "\u00ae", "\\circledR");
+defineSymbol(math, ams, textord, "\u2221", "\\measuredangle", true);
+defineSymbol(math, ams, textord, "\u2204", "\\nexists");
+defineSymbol(math, ams, textord, "\u2127", "\\mho");
+defineSymbol(math, ams, textord, "\u2132", "\\Finv", true);
+defineSymbol(math, ams, textord, "\u2141", "\\Game", true);
+defineSymbol(math, ams, textord, "\u2035", "\\backprime");
+defineSymbol(math, ams, textord, "\u25b2", "\\blacktriangle");
+defineSymbol(math, ams, textord, "\u25bc", "\\blacktriangledown");
+defineSymbol(math, ams, textord, "\u25a0", "\\blacksquare");
+defineSymbol(math, ams, textord, "\u29eb", "\\blacklozenge");
+defineSymbol(math, ams, textord, "\u2605", "\\bigstar");
+defineSymbol(math, ams, textord, "\u2222", "\\sphericalangle", true);
+defineSymbol(math, ams, textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 (ð) to \matheth. We map to AMS function \eth
+
+defineSymbol(math, ams, textord, "\u00f0", "\\eth", true);
+defineSymbol(math, ams, textord, "\u2571", "\\diagup");
+defineSymbol(math, ams, textord, "\u2572", "\\diagdown");
+defineSymbol(math, ams, textord, "\u25a1", "\\square");
+defineSymbol(math, ams, textord, "\u25a1", "\\Box");
+defineSymbol(math, ams, textord, "\u25ca", "\\Diamond"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen
+
+defineSymbol(math, ams, textord, "\u00a5", "\\yen", true);
+defineSymbol(text$1, ams, textord, "\u00a5", "\\yen", true);
+defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true);
+defineSymbol(text$1, ams, textord, "\u2713", "\\checkmark"); // AMS Hebrew
+
+defineSymbol(math, ams, textord, "\u2136", "\\beth", true);
+defineSymbol(math, ams, textord, "\u2138", "\\daleth", true);
+defineSymbol(math, ams, textord, "\u2137", "\\gimel", true); // AMS Greek
+
+defineSymbol(math, ams, textord, "\u03dd", "\\digamma", true);
+defineSymbol(math, ams, textord, "\u03f0", "\\varkappa"); // AMS Delimiters
+
+defineSymbol(math, ams, open, "\u250c", "\\ulcorner", true);
+defineSymbol(math, ams, close, "\u2510", "\\urcorner", true);
+defineSymbol(math, ams, open, "\u2514", "\\llcorner", true);
+defineSymbol(math, ams, close, "\u2518", "\\lrcorner", true); // AMS Binary Relations
+
+defineSymbol(math, ams, rel, "\u2266", "\\leqq", true);
+defineSymbol(math, ams, rel, "\u2a7d", "\\leqslant", true);
+defineSymbol(math, ams, rel, "\u2a95", "\\eqslantless", true);
+defineSymbol(math, ams, rel, "\u2272", "\\lesssim", true);
+defineSymbol(math, ams, rel, "\u2a85", "\\lessapprox", true);
+defineSymbol(math, ams, rel, "\u224a", "\\approxeq", true);
+defineSymbol(math, ams, bin, "\u22d6", "\\lessdot");
+defineSymbol(math, ams, rel, "\u22d8", "\\lll", true);
+defineSymbol(math, ams, rel, "\u2276", "\\lessgtr", true);
+defineSymbol(math, ams, rel, "\u22da", "\\lesseqgtr", true);
+defineSymbol(math, ams, rel, "\u2a8b", "\\lesseqqgtr", true);
+defineSymbol(math, ams, rel, "\u2251", "\\doteqdot");
+defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq", true);
+defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq", true);
+defineSymbol(math, ams, rel, "\u223d", "\\backsim", true);
+defineSymbol(math, ams, rel, "\u22cd", "\\backsimeq", true);
+defineSymbol(math, ams, rel, "\u2ac5", "\\subseteqq", true);
+defineSymbol(math, ams, rel, "\u22d0", "\\Subset", true);
+defineSymbol(math, ams, rel, "\u228f", "\\sqsubset", true);
+defineSymbol(math, ams, rel, "\u227c", "\\preccurlyeq", true);
+defineSymbol(math, ams, rel, "\u22de", "\\curlyeqprec", true);
+defineSymbol(math, ams, rel, "\u227e", "\\precsim", true);
+defineSymbol(math, ams, rel, "\u2ab7", "\\precapprox", true);
+defineSymbol(math, ams, rel, "\u22b2", "\\vartriangleleft");
+defineSymbol(math, ams, rel, "\u22b4", "\\trianglelefteq");
+defineSymbol(math, ams, rel, "\u22a8", "\\vDash", true);
+defineSymbol(math, ams, rel, "\u22aa", "\\Vvdash", true);
+defineSymbol(math, ams, rel, "\u2323", "\\smallsmile");
+defineSymbol(math, ams, rel, "\u2322", "\\smallfrown");
+defineSymbol(math, ams, rel, "\u224f", "\\bumpeq", true);
+defineSymbol(math, ams, rel, "\u224e", "\\Bumpeq", true);
+defineSymbol(math, ams, rel, "\u2267", "\\geqq", true);
+defineSymbol(math, ams, rel, "\u2a7e", "\\geqslant", true);
+defineSymbol(math, ams, rel, "\u2a96", "\\eqslantgtr", true);
+defineSymbol(math, ams, rel, "\u2273", "\\gtrsim", true);
+defineSymbol(math, ams, rel, "\u2a86", "\\gtrapprox", true);
+defineSymbol(math, ams, bin, "\u22d7", "\\gtrdot");
+defineSymbol(math, ams, rel, "\u22d9", "\\ggg", true);
+defineSymbol(math, ams, rel, "\u2277", "\\gtrless", true);
+defineSymbol(math, ams, rel, "\u22db", "\\gtreqless", true);
+defineSymbol(math, ams, rel, "\u2a8c", "\\gtreqqless", true);
+defineSymbol(math, ams, rel, "\u2256", "\\eqcirc", true);
+defineSymbol(math, ams, rel, "\u2257", "\\circeq", true);
+defineSymbol(math, ams, rel, "\u225c", "\\triangleq", true);
+defineSymbol(math, ams, rel, "\u223c", "\\thicksim");
+defineSymbol(math, ams, rel, "\u2248", "\\thickapprox");
+defineSymbol(math, ams, rel, "\u2ac6", "\\supseteqq", true);
+defineSymbol(math, ams, rel, "\u22d1", "\\Supset", true);
+defineSymbol(math, ams, rel, "\u2290", "\\sqsupset", true);
+defineSymbol(math, ams, rel, "\u227d", "\\succcurlyeq", true);
+defineSymbol(math, ams, rel, "\u22df", "\\curlyeqsucc", true);
+defineSymbol(math, ams, rel, "\u227f", "\\succsim", true);
+defineSymbol(math, ams, rel, "\u2ab8", "\\succapprox", true);
+defineSymbol(math, ams, rel, "\u22b3", "\\vartriangleright");
+defineSymbol(math, ams, rel, "\u22b5", "\\trianglerighteq");
+defineSymbol(math, ams, rel, "\u22a9", "\\Vdash", true);
+defineSymbol(math, ams, rel, "\u2223", "\\shortmid");
+defineSymbol(math, ams, rel, "\u2225", "\\shortparallel");
+defineSymbol(math, ams, rel, "\u226c", "\\between", true);
+defineSymbol(math, ams, rel, "\u22d4", "\\pitchfork", true);
+defineSymbol(math, ams, rel, "\u221d", "\\varpropto");
+defineSymbol(math, ams, rel, "\u25c0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(math, ams, rel, "\u2234", "\\therefore", true);
+defineSymbol(math, ams, rel, "\u220d", "\\backepsilon");
+defineSymbol(math, ams, rel, "\u25b6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(math, ams, rel, "\u2235", "\\because", true);
+defineSymbol(math, ams, rel, "\u22d8", "\\llless");
+defineSymbol(math, ams, rel, "\u22d9", "\\gggtr");
+defineSymbol(math, ams, bin, "\u22b2", "\\lhd");
+defineSymbol(math, ams, bin, "\u22b3", "\\rhd");
+defineSymbol(math, ams, rel, "\u2242", "\\eqsim", true);
+defineSymbol(math, main, rel, "\u22c8", "\\Join");
+defineSymbol(math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators
+
+defineSymbol(math, ams, bin, "\u2214", "\\dotplus", true);
+defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus");
+defineSymbol(math, ams, bin, "\u22d2", "\\Cap", true);
+defineSymbol(math, ams, bin, "\u22d3", "\\Cup", true);
+defineSymbol(math, ams, bin, "\u2a5e", "\\doublebarwedge", true);
+defineSymbol(math, ams, bin, "\u229f", "\\boxminus", true);
+defineSymbol(math, ams, bin, "\u229e", "\\boxplus", true);
+defineSymbol(math, ams, bin, "\u22c7", "\\divideontimes", true);
+defineSymbol(math, ams, bin, "\u22c9", "\\ltimes", true);
+defineSymbol(math, ams, bin, "\u22ca", "\\rtimes", true);
+defineSymbol(math, ams, bin, "\u22cb", "\\leftthreetimes", true);
+defineSymbol(math, ams, bin, "\u22cc", "\\rightthreetimes", true);
+defineSymbol(math, ams, bin, "\u22cf", "\\curlywedge", true);
+defineSymbol(math, ams, bin, "\u22ce", "\\curlyvee", true);
+defineSymbol(math, ams, bin, "\u229d", "\\circleddash", true);
+defineSymbol(math, ams, bin, "\u229b", "\\circledast", true);
+defineSymbol(math, ams, bin, "\u22c5", "\\centerdot");
+defineSymbol(math, ams, bin, "\u22ba", "\\intercal", true);
+defineSymbol(math, ams, bin, "\u22d2", "\\doublecap");
+defineSymbol(math, ams, bin, "\u22d3", "\\doublecup");
+defineSymbol(math, ams, bin, "\u22a0", "\\boxtimes", true); // AMS Arrows
+// Note: unicode-math maps \u21e2 to their own function \rightdasharrow.
+// We'll map it to AMS function \dashrightarrow. It produces the same atom.
+
+defineSymbol(math, ams, rel, "\u21e2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u21e0", "\\dashleftarrow", true);
+defineSymbol(math, ams, rel, "\u21c7", "\\leftleftarrows", true);
+defineSymbol(math, ams, rel, "\u21c6", "\\leftrightarrows", true);
+defineSymbol(math, ams, rel, "\u21da", "\\Lleftarrow", true);
+defineSymbol(math, ams, rel, "\u219e", "\\twoheadleftarrow", true);
+defineSymbol(math, ams, rel, "\u21a2", "\\leftarrowtail", true);
+defineSymbol(math, ams, rel, "\u21ab", "\\looparrowleft", true);
+defineSymbol(math, ams, rel, "\u21cb", "\\leftrightharpoons", true);
+defineSymbol(math, ams, rel, "\u21b6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u21ba", "\\circlearrowleft", true);
+defineSymbol(math, ams, rel, "\u21b0", "\\Lsh", true);
+defineSymbol(math, ams, rel, "\u21c8", "\\upuparrows", true);
+defineSymbol(math, ams, rel, "\u21bf", "\\upharpoonleft", true);
+defineSymbol(math, ams, rel, "\u21c3", "\\downharpoonleft", true);
+defineSymbol(math, ams, rel, "\u22b8", "\\multimap", true);
+defineSymbol(math, ams, rel, "\u21ad", "\\leftrightsquigarrow", true);
+defineSymbol(math, ams, rel, "\u21c9", "\\rightrightarrows", true);
+defineSymbol(math, ams, rel, "\u21c4", "\\rightleftarrows", true);
+defineSymbol(math, ams, rel, "\u21a0", "\\twoheadrightarrow", true);
+defineSymbol(math, ams, rel, "\u21a3", "\\rightarrowtail", true);
+defineSymbol(math, ams, rel, "\u21ac", "\\looparrowright", true);
+defineSymbol(math, ams, rel, "\u21b7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u21bb", "\\circlearrowright", true);
+defineSymbol(math, ams, rel, "\u21b1", "\\Rsh", true);
+defineSymbol(math, ams, rel, "\u21ca", "\\downdownarrows", true);
+defineSymbol(math, ams, rel, "\u21be", "\\upharpoonright", true);
+defineSymbol(math, ams, rel, "\u21c2", "\\downharpoonright", true);
+defineSymbol(math, ams, rel, "\u21dd", "\\rightsquigarrow", true);
+defineSymbol(math, ams, rel, "\u21dd", "\\leadsto");
+defineSymbol(math, ams, rel, "\u21db", "\\Rrightarrow", true);
+defineSymbol(math, ams, rel, "\u21be", "\\restriction");
+defineSymbol(math, main, textord, "\u2018", "`");
+defineSymbol(math, main, textord, "$", "\\$");
+defineSymbol(text$1, main, textord, "$", "\\$");
+defineSymbol(text$1, main, textord, "$", "\\textdollar");
+defineSymbol(math, main, textord, "%", "\\%");
+defineSymbol(text$1, main, textord, "%", "\\%");
+defineSymbol(math, main, textord, "_", "\\_");
+defineSymbol(text$1, main, textord, "_", "\\_");
+defineSymbol(text$1, main, textord, "_", "\\textunderscore");
+defineSymbol(math, main, textord, "\u2220", "\\angle", true);
+defineSymbol(math, main, textord, "\u221e", "\\infty", true);
+defineSymbol(math, main, textord, "\u2032", "\\prime");
+defineSymbol(math, main, textord, "\u25b3", "\\triangle");
+defineSymbol(math, main, textord, "\u0393", "\\Gamma", true);
+defineSymbol(math, main, textord, "\u0394", "\\Delta", true);
+defineSymbol(math, main, textord, "\u0398", "\\Theta", true);
+defineSymbol(math, main, textord, "\u039b", "\\Lambda", true);
+defineSymbol(math, main, textord, "\u039e", "\\Xi", true);
+defineSymbol(math, main, textord, "\u03a0", "\\Pi", true);
+defineSymbol(math, main, textord, "\u03a3", "\\Sigma", true);
+defineSymbol(math, main, textord, "\u03a5", "\\Upsilon", true);
+defineSymbol(math, main, textord, "\u03a6", "\\Phi", true);
+defineSymbol(math, main, textord, "\u03a8", "\\Psi", true);
+defineSymbol(math, main, textord, "\u03a9", "\\Omega", true);
+defineSymbol(math, main, textord, "A", "\u0391");
+defineSymbol(math, main, textord, "B", "\u0392");
+defineSymbol(math, main, textord, "E", "\u0395");
+defineSymbol(math, main, textord, "Z", "\u0396");
+defineSymbol(math, main, textord, "H", "\u0397");
+defineSymbol(math, main, textord, "I", "\u0399");
+defineSymbol(math, main, textord, "K", "\u039A");
+defineSymbol(math, main, textord, "M", "\u039C");
+defineSymbol(math, main, textord, "N", "\u039D");
+defineSymbol(math, main, textord, "O", "\u039F");
+defineSymbol(math, main, textord, "P", "\u03A1");
+defineSymbol(math, main, textord, "T", "\u03A4");
+defineSymbol(math, main, textord, "X", "\u03A7");
+defineSymbol(math, main, textord, "\u00ac", "\\neg", true);
+defineSymbol(math, main, textord, "\u00ac", "\\lnot");
+defineSymbol(math, main, textord, "\u22a4", "\\top");
+defineSymbol(math, main, textord, "\u22a5", "\\bot");
+defineSymbol(math, main, textord, "\u2205", "\\emptyset");
+defineSymbol(math, ams, textord, "\u2205", "\\varnothing");
+defineSymbol(math, main, mathord, "\u03b1", "\\alpha", true);
+defineSymbol(math, main, mathord, "\u03b2", "\\beta", true);
+defineSymbol(math, main, mathord, "\u03b3", "\\gamma", true);
+defineSymbol(math, main, mathord, "\u03b4", "\\delta", true);
+defineSymbol(math, main, mathord, "\u03f5", "\\epsilon", true);
+defineSymbol(math, main, mathord, "\u03b6", "\\zeta", true);
+defineSymbol(math, main, mathord, "\u03b7", "\\eta", true);
+defineSymbol(math, main, mathord, "\u03b8", "\\theta", true);
+defineSymbol(math, main, mathord, "\u03b9", "\\iota", true);
+defineSymbol(math, main, mathord, "\u03ba", "\\kappa", true);
+defineSymbol(math, main, mathord, "\u03bb", "\\lambda", true);
+defineSymbol(math, main, mathord, "\u03bc", "\\mu", true);
+defineSymbol(math, main, mathord, "\u03bd", "\\nu", true);
+defineSymbol(math, main, mathord, "\u03be", "\\xi", true);
+defineSymbol(math, main, mathord, "\u03bf", "\\omicron", true);
+defineSymbol(math, main, mathord, "\u03c0", "\\pi", true);
+defineSymbol(math, main, mathord, "\u03c1", "\\rho", true);
+defineSymbol(math, main, mathord, "\u03c3", "\\sigma", true);
+defineSymbol(math, main, mathord, "\u03c4", "\\tau", true);
+defineSymbol(math, main, mathord, "\u03c5", "\\upsilon", true);
+defineSymbol(math, main, mathord, "\u03d5", "\\phi", true);
+defineSymbol(math, main, mathord, "\u03c7", "\\chi", true);
+defineSymbol(math, main, mathord, "\u03c8", "\\psi", true);
+defineSymbol(math, main, mathord, "\u03c9", "\\omega", true);
+defineSymbol(math, main, mathord, "\u03b5", "\\varepsilon", true);
+defineSymbol(math, main, mathord, "\u03d1", "\\vartheta", true);
+defineSymbol(math, main, mathord, "\u03d6", "\\varpi", true);
+defineSymbol(math, main, mathord, "\u03f1", "\\varrho", true);
+defineSymbol(math, main, mathord, "\u03c2", "\\varsigma", true);
+defineSymbol(math, main, mathord, "\u03c6", "\\varphi", true);
+defineSymbol(math, main, bin, "\u2217", "*");
+defineSymbol(math, main, bin, "+", "+");
+defineSymbol(math, main, bin, "\u2212", "-");
+defineSymbol(math, main, bin, "\u22c5", "\\cdot", true);
+defineSymbol(math, main, bin, "\u2218", "\\circ");
+defineSymbol(math, main, bin, "\u00f7", "\\div", true);
+defineSymbol(math, main, bin, "\u00b1", "\\pm", true);
+defineSymbol(math, main, bin, "\u00d7", "\\times", true);
+defineSymbol(math, main, bin, "\u2229", "\\cap", true);
+defineSymbol(math, main, bin, "\u222a", "\\cup", true);
+defineSymbol(math, main, bin, "\u2216", "\\setminus");
+defineSymbol(math, main, bin, "\u2227", "\\land");
+defineSymbol(math, main, bin, "\u2228", "\\lor");
+defineSymbol(math, main, bin, "\u2227", "\\wedge", true);
+defineSymbol(math, main, bin, "\u2228", "\\vee", true);
+defineSymbol(math, main, textord, "\u221a", "\\surd");
+defineSymbol(math, main, open, "(", "(");
+defineSymbol(math, main, open, "[", "[");
+defineSymbol(math, main, open, "\u27e8", "\\langle", true);
+defineSymbol(math, main, open, "\u2223", "\\lvert");
+defineSymbol(math, main, open, "\u2225", "\\lVert");
+defineSymbol(math, main, close, ")", ")");
+defineSymbol(math, main, close, "]", "]");
+defineSymbol(math, main, close, "?", "?");
+defineSymbol(math, main, close, "!", "!");
+defineSymbol(math, main, close, "\u27e9", "\\rangle", true);
+defineSymbol(math, main, close, "\u2223", "\\rvert");
+defineSymbol(math, main, close, "\u2225", "\\rVert");
+defineSymbol(math, main, rel, "=", "=");
+defineSymbol(math, main, rel, "<", "<");
+defineSymbol(math, main, rel, ">", ">");
+defineSymbol(math, main, rel, ":", ":");
+defineSymbol(math, main, rel, "\u2248", "\\approx", true);
+defineSymbol(math, main, rel, "\u2245", "\\cong", true);
+defineSymbol(math, main, rel, "\u2265", "\\ge");
+defineSymbol(math, main, rel, "\u2265", "\\geq", true);
+defineSymbol(math, main, rel, "\u2190", "\\gets");
+defineSymbol(math, main, rel, ">", "\\gt");
+defineSymbol(math, main, rel, "\u2208", "\\in", true);
+defineSymbol(math, main, rel, "\ue020", "\\@not");
+defineSymbol(math, main, rel, "\u2282", "\\subset", true);
+defineSymbol(math, main, rel, "\u2283", "\\supset", true);
+defineSymbol(math, main, rel, "\u2286", "\\subseteq", true);
+defineSymbol(math, main, rel, "\u2287", "\\supseteq", true);
+defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq", true);
+defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq", true);
+defineSymbol(math, main, rel, "\u22a8", "\\models");
+defineSymbol(math, main, rel, "\u2190", "\\leftarrow", true);
+defineSymbol(math, main, rel, "\u2264", "\\le");
+defineSymbol(math, main, rel, "\u2264", "\\leq", true);
+defineSymbol(math, main, rel, "<", "\\lt");
+defineSymbol(math, main, rel, "\u2192", "\\rightarrow", true);
+defineSymbol(math, main, rel, "\u2192", "\\to");
+defineSymbol(math, ams, rel, "\u2271", "\\ngeq", true);
+defineSymbol(math, ams, rel, "\u2270", "\\nleq", true);
+defineSymbol(math, main, spacing, "\u00a0", "\\ ");
+defineSymbol(math, main, spacing, "\u00a0", "~");
+defineSymbol(math, main, spacing, "\u00a0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%
+
+defineSymbol(math, main, spacing, "\u00a0", "\\nobreakspace");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\ ");
+defineSymbol(text$1, main, spacing, "\u00a0", "~");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\space");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\nobreakspace");
+defineSymbol(math, main, spacing, null, "\\nobreak");
+defineSymbol(math, main, spacing, null, "\\allowbreak");
+defineSymbol(math, main, punct, ",", ",");
+defineSymbol(math, main, punct, ";", ";");
+defineSymbol(math, ams, bin, "\u22bc", "\\barwedge", true);
+defineSymbol(math, ams, bin, "\u22bb", "\\veebar", true);
+defineSymbol(math, main, bin, "\u2299", "\\odot", true);
+defineSymbol(math, main, bin, "\u2295", "\\oplus", true);
+defineSymbol(math, main, bin, "\u2297", "\\otimes", true);
+defineSymbol(math, main, textord, "\u2202", "\\partial", true);
+defineSymbol(math, main, bin, "\u2298", "\\oslash", true);
+defineSymbol(math, ams, bin, "\u229a", "\\circledcirc", true);
+defineSymbol(math, ams, bin, "\u22a1", "\\boxdot", true);
+defineSymbol(math, main, bin, "\u25b3", "\\bigtriangleup");
+defineSymbol(math, main, bin, "\u25bd", "\\bigtriangledown");
+defineSymbol(math, main, bin, "\u2020", "\\dagger");
+defineSymbol(math, main, bin, "\u22c4", "\\diamond");
+defineSymbol(math, main, bin, "\u22c6", "\\star");
+defineSymbol(math, main, bin, "\u25c3", "\\triangleleft");
+defineSymbol(math, main, bin, "\u25b9", "\\triangleright");
+defineSymbol(math, main, open, "{", "\\{");
+defineSymbol(text$1, main, textord, "{", "\\{");
+defineSymbol(text$1, main, textord, "{", "\\textbraceleft");
+defineSymbol(math, main, close, "}", "\\}");
+defineSymbol(text$1, main, textord, "}", "\\}");
+defineSymbol(text$1, main, textord, "}", "\\textbraceright");
+defineSymbol(math, main, open, "{", "\\lbrace");
+defineSymbol(math, main, close, "}", "\\rbrace");
+defineSymbol(math, main, open, "[", "\\lbrack");
+defineSymbol(text$1, main, textord, "[", "\\lbrack");
+defineSymbol(math, main, close, "]", "\\rbrack");
+defineSymbol(text$1, main, textord, "]", "\\rbrack");
+defineSymbol(math, main, open, "(", "\\lparen");
+defineSymbol(math, main, close, ")", "\\rparen");
+defineSymbol(text$1, main, textord, "<", "\\textless"); // in T1 fontenc
+
+defineSymbol(text$1, main, textord, ">", "\\textgreater"); // in T1 fontenc
+
+defineSymbol(math, main, open, "\u230a", "\\lfloor", true);
+defineSymbol(math, main, close, "\u230b", "\\rfloor", true);
+defineSymbol(math, main, open, "\u2308", "\\lceil", true);
+defineSymbol(math, main, close, "\u2309", "\\rceil", true);
+defineSymbol(math, main, textord, "\\", "\\backslash");
+defineSymbol(math, main, textord, "\u2223", "|");
+defineSymbol(math, main, textord, "\u2223", "\\vert");
+defineSymbol(text$1, main, textord, "|", "\\textbar"); // in T1 fontenc
+
+defineSymbol(math, main, textord, "\u2225", "\\|");
+defineSymbol(math, main, textord, "\u2225", "\\Vert");
+defineSymbol(text$1, main, textord, "\u2225", "\\textbardbl");
+defineSymbol(text$1, main, textord, "~", "\\textasciitilde");
+defineSymbol(text$1, main, textord, "\\", "\\textbackslash");
+defineSymbol(text$1, main, textord, "^", "\\textasciicircum");
+defineSymbol(math, main, rel, "\u2191", "\\uparrow", true);
+defineSymbol(math, main, rel, "\u21d1", "\\Uparrow", true);
+defineSymbol(math, main, rel, "\u2193", "\\downarrow", true);
+defineSymbol(math, main, rel, "\u21d3", "\\Downarrow", true);
+defineSymbol(math, main, rel, "\u2195", "\\updownarrow", true);
+defineSymbol(math, main, rel, "\u21d5", "\\Updownarrow", true);
+defineSymbol(math, main, op, "\u2210", "\\coprod");
+defineSymbol(math, main, op, "\u22c1", "\\bigvee");
+defineSymbol(math, main, op, "\u22c0", "\\bigwedge");
+defineSymbol(math, main, op, "\u2a04", "\\biguplus");
+defineSymbol(math, main, op, "\u22c2", "\\bigcap");
+defineSymbol(math, main, op, "\u22c3", "\\bigcup");
+defineSymbol(math, main, op, "\u222b", "\\int");
+defineSymbol(math, main, op, "\u222b", "\\intop");
+defineSymbol(math, main, op, "\u222c", "\\iint");
+defineSymbol(math, main, op, "\u222d", "\\iiint");
+defineSymbol(math, main, op, "\u220f", "\\prod");
+defineSymbol(math, main, op, "\u2211", "\\sum");
+defineSymbol(math, main, op, "\u2a02", "\\bigotimes");
+defineSymbol(math, main, op, "\u2a01", "\\bigoplus");
+defineSymbol(math, main, op, "\u2a00", "\\bigodot");
+defineSymbol(math, main, op, "\u222e", "\\oint");
+defineSymbol(math, main, op, "\u222f", "\\oiint");
+defineSymbol(math, main, op, "\u2230", "\\oiiint");
+defineSymbol(math, main, op, "\u2a06", "\\bigsqcup");
+defineSymbol(math, main, op, "\u222b", "\\smallint");
+defineSymbol(text$1, main, inner, "\u2026", "\\textellipsis");
+defineSymbol(math, main, inner, "\u2026", "\\mathellipsis");
+defineSymbol(text$1, main, inner, "\u2026", "\\ldots", true);
+defineSymbol(math, main, inner, "\u2026", "\\ldots", true);
+defineSymbol(math, main, inner, "\u22ef", "\\@cdots", true);
+defineSymbol(math, main, inner, "\u22f1", "\\ddots", true);
+defineSymbol(math, main, textord, "\u22ee", "\\varvdots"); // \vdots is a macro
+
+defineSymbol(math, main, accent, "\u02ca", "\\acute");
+defineSymbol(math, main, accent, "\u02cb", "\\grave");
+defineSymbol(math, main, accent, "\u00a8", "\\ddot");
+defineSymbol(math, main, accent, "\u007e", "\\tilde");
+defineSymbol(math, main, accent, "\u02c9", "\\bar");
+defineSymbol(math, main, accent, "\u02d8", "\\breve");
+defineSymbol(math, main, accent, "\u02c7", "\\check");
+defineSymbol(math, main, accent, "\u005e", "\\hat");
+defineSymbol(math, main, accent, "\u20d7", "\\vec");
+defineSymbol(math, main, accent, "\u02d9", "\\dot");
+defineSymbol(math, main, accent, "\u02da", "\\mathring");
+defineSymbol(math, main, mathord, "\u0131", "\\imath", true);
+defineSymbol(math, main, mathord, "\u0237", "\\jmath", true);
+defineSymbol(text$1, main, textord, "\u0131", "\\i", true);
+defineSymbol(text$1, main, textord, "\u0237", "\\j", true);
+defineSymbol(text$1, main, textord, "\u00df", "\\ss", true);
+defineSymbol(text$1, main, textord, "\u00e6", "\\ae", true);
+defineSymbol(text$1, main, textord, "\u00e6", "\\ae", true);
+defineSymbol(text$1, main, textord, "\u0153", "\\oe", true);
+defineSymbol(text$1, main, textord, "\u00f8", "\\o", true);
+defineSymbol(text$1, main, textord, "\u00c6", "\\AE", true);
+defineSymbol(text$1, main, textord, "\u0152", "\\OE", true);
+defineSymbol(text$1, main, textord, "\u00d8", "\\O", true);
+defineSymbol(text$1, main, accent, "\u02ca", "\\'"); // acute
+
+defineSymbol(text$1, main, accent, "\u02cb", "\\`"); // grave
+
+defineSymbol(text$1, main, accent, "\u02c6", "\\^"); // circumflex
+
+defineSymbol(text$1, main, accent, "\u02dc", "\\~"); // tilde
+
+defineSymbol(text$1, main, accent, "\u02c9", "\\="); // macron
+
+defineSymbol(text$1, main, accent, "\u02d8", "\\u"); // breve
+
+defineSymbol(text$1, main, accent, "\u02d9", "\\."); // dot above
+
+defineSymbol(text$1, main, accent, "\u02da", "\\r"); // ring above
+
+defineSymbol(text$1, main, accent, "\u02c7", "\\v"); // caron
+
+defineSymbol(text$1, main, accent, "\u00a8", '\\"'); // diaresis
+
+defineSymbol(text$1, main, accent, "\u02dd", "\\H"); // double acute
+
+defineSymbol(text$1, main, accent, "\u25ef", "\\textcircled"); // \bigcirc glyph
+// These ligatures are detected and created in Parser.js's `formLigatures`.
+
+const ligatures = {
+  "--": true,
+  "---": true,
+  "``": true,
+  "''": true
+};
+defineSymbol(text$1, main, textord, "\u2013", "--");
+defineSymbol(text$1, main, textord, "\u2013", "\\textendash");
+defineSymbol(text$1, main, textord, "\u2014", "---");
+defineSymbol(text$1, main, textord, "\u2014", "\\textemdash");
+defineSymbol(text$1, main, textord, "\u2018", "`");
+defineSymbol(text$1, main, textord, "\u2018", "\\textquoteleft");
+defineSymbol(text$1, main, textord, "\u2019", "'");
+defineSymbol(text$1, main, textord, "\u2019", "\\textquoteright");
+defineSymbol(text$1, main, textord, "\u201c", "``");
+defineSymbol(text$1, main, textord, "\u201c", "\\textquotedblleft");
+defineSymbol(text$1, main, textord, "\u201d", "''");
+defineSymbol(text$1, main, textord, "\u201d", "\\textquotedblright"); //  \degree from gensymb package
+
+defineSymbol(math, main, textord, "\u00b0", "\\degree", true);
+defineSymbol(text$1, main, textord, "\u00b0", "\\degree"); // \textdegree from inputenc package
+
+defineSymbol(text$1, main, textord, "\u00b0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math
+// mode, but among our fonts, only Main-Italic defines this character "163".
+
+defineSymbol(math, main, mathord, "\u00a3", "\\pounds");
+defineSymbol(math, main, mathord, "\u00a3", "\\mathsterling", true);
+defineSymbol(text$1, main, mathord, "\u00a3", "\\pounds");
+defineSymbol(text$1, main, mathord, "\u00a3", "\\textsterling", true);
+defineSymbol(math, ams, textord, "\u2720", "\\maltese");
+defineSymbol(text$1, ams, textord, "\u2720", "\\maltese");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\ ");
+defineSymbol(text$1, main, spacing, "\u00a0", " ");
+defineSymbol(text$1, main, spacing, "\u00a0", "~"); // There are lots of symbols which are the same, so we add them in afterwards.
+// All of these are textords in math mode
+
+const mathTextSymbols = "0123456789/@.\"";
+
+for (let i = 0; i < mathTextSymbols.length; i++) {
+  const ch = mathTextSymbols.charAt(i);
+  defineSymbol(math, main, textord, ch, ch);
+} // All of these are textords in text mode
+
+
+const textSymbols = "0123456789!@*()-=+[]<>|\";:?/.,";
+
+for (let i = 0; i < textSymbols.length; i++) {
+  const ch = textSymbols.charAt(i);
+  defineSymbol(text$1, main, textord, ch, ch);
+} // All of these are textords in text mode, and mathords in math mode
+
+
+const letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
+
+for (let i = 0; i < letters.length; i++) {
+  const ch = letters.charAt(i);
+  defineSymbol(math, main, mathord, ch, ch);
+  defineSymbol(text$1, main, textord, ch, ch);
+} // Blackboard bold and script letters in Unicode range
+
+
+defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold
+
+defineSymbol(text$1, ams, textord, "C", "\u2102");
+defineSymbol(math, ams, textord, "H", "\u210D");
+defineSymbol(text$1, ams, textord, "H", "\u210D");
+defineSymbol(math, ams, textord, "N", "\u2115");
+defineSymbol(text$1, ams, textord, "N", "\u2115");
+defineSymbol(math, ams, textord, "P", "\u2119");
+defineSymbol(text$1, ams, textord, "P", "\u2119");
+defineSymbol(math, ams, textord, "Q", "\u211A");
+defineSymbol(text$1, ams, textord, "Q", "\u211A");
+defineSymbol(math, ams, textord, "R", "\u211D");
+defineSymbol(text$1, ams, textord, "R", "\u211D");
+defineSymbol(math, ams, textord, "Z", "\u2124");
+defineSymbol(text$1, ams, textord, "Z", "\u2124");
+defineSymbol(math, main, mathord, "h", "\u210E"); // italic h, Planck constant
+
+defineSymbol(text$1, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters.
+// We support some letters in the Unicode range U+1D400 to U+1D7FF,
+// Mathematical Alphanumeric Symbols.
+// Some editors do not deal well with wide characters. So don't write the
+// string into this file. Instead, create the string from the surrogate pair.
+
+let wideChar = "";
+
+for (let i = 0; i < letters.length; i++) {
+  const ch = letters.charAt(i); // The hex numbers in the next line are a surrogate pair.
+  // 0xD835 is the high surrogate for all letters in the range we support.
+  // 0xDC00 is the low surrogate for bold A.
+
+  wideChar = String.fromCharCode(0xD835, 0xDC00 + i); // A-Z a-z bold
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDC34 + i); // A-Z a-z italic
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDC68 + i); // A-Z a-z bold italic
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDD04 + i); // A-Z a-z Fractur
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDDA0 + i); // A-Z a-z sans-serif
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDDD4 + i); // A-Z a-z sans bold
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDE08 + i); // A-Z a-z sans italic
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDE70 + i); // A-Z a-z monospace
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+
+  if (i < 26) {
+    // KaTeX fonts have only capital letters for blackboard bold and script.
+    // See exception for k below.
+    wideChar = String.fromCharCode(0xD835, 0xDD38 + i); // A-Z double struck
+
+    defineSymbol(math, main, mathord, ch, wideChar);
+    defineSymbol(text$1, main, textord, ch, wideChar);
+    wideChar = String.fromCharCode(0xD835, 0xDC9C + i); // A-Z script
+
+    defineSymbol(math, main, mathord, ch, wideChar);
+    defineSymbol(text$1, main, textord, ch, wideChar);
+  } // TODO: Add bold script when it is supported by a KaTeX font.
+
+} // "k" is the only double struck lower case letter in the KaTeX fonts.
+
+
+wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck
+
+defineSymbol(math, main, mathord, "k", wideChar);
+defineSymbol(text$1, main, textord, "k", wideChar); // Next, some wide character numerals
+
+for (let i = 0; i < 10; i++) {
+  const ch = i.toString();
+  wideChar = String.fromCharCode(0xD835, 0xDFCE + i); // 0-9 bold
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDFE2 + i); // 0-9 sans serif
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDFEC + i); // 0-9 bold sans
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDFF6 + i); // 0-9 monospace
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+} // We add these Latin-1 letters as symbols for backwards-compatibility,
+// but they are not actually in the font, nor are they supported by the
+// Unicode accent mechanism, so they fall back to Times font and look ugly.
+// TODO(edemaine): Fix this.
+
+
+const extraLatin = "ÇÐÞçþ";
+
+for (let i = 0; i < extraLatin.length; i++) {
+  const ch = extraLatin.charAt(i);
+  defineSymbol(math, main, mathord, ch, ch);
+  defineSymbol(text$1, main, textord, ch, ch);
+}
+
+defineSymbol(text$1, main, textord, "ð", "ð"); // Unicode versions of existing characters
+
+defineSymbol(text$1, main, textord, "\u2013", "–");
+defineSymbol(text$1, main, textord, "\u2014", "—");
+defineSymbol(text$1, main, textord, "\u2018", "‘");
+defineSymbol(text$1, main, textord, "\u2019", "’");
+defineSymbol(text$1, main, textord, "\u201c", "“");
+defineSymbol(text$1, main, textord, "\u201d", "”");
+
+/**
+ * This file provides support for Unicode range U+1D400 to U+1D7FF,
+ * Mathematical Alphanumeric Symbols.
+ *
+ * Function wideCharacterFont takes a wide character as input and returns
+ * the font information necessary to render it properly.
+ */
+/**
+ * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf
+ * That document sorts characters into groups by font type, say bold or italic.
+ *
+ * In the arrays below, each subarray consists three elements:
+ *      * The CSS class of that group when in math mode.
+ *      * The CSS class of that group when in text mode.
+ *      * The font name, so that KaTeX can get font metrics.
+ */
+
+const wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright
+["mathbf", "textbf", "Main-Bold"], // a-z bold upright
+["mathdefault", "textit", "Math-Italic"], // A-Z italic
+["mathdefault", "textit", "Math-Italic"], // a-z italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic
+// Map fancy A-Z letters to script, not calligraphic.
+// This aligns with unicode-math and math fonts (except Cambria Math).
+["mathscr", "textscr", "Script-Regular"], // A-Z script
+["", "", ""], // a-z script.  No font
+["", "", ""], // A-Z bold script. No font
+["", "", ""], // a-z bold script. No font
+["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur
+["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur
+["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck
+["mathbb", "textbb", "AMS-Regular"], // k double-struck
+["", "", ""], // A-Z bold Fraktur No font metrics
+["", "", ""], // a-z bold Fraktur.   No font.
+["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif
+["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif
+["", "", ""], // A-Z bold italic sans. No font
+["", "", ""], // a-z bold italic sans. No font
+["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace
+["mathtt", "texttt", "Typewriter-Regular"]];
+const wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold
+["", "", ""], // 0-9 double-struck. No KaTeX font.
+["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif
+["mathtt", "texttt", "Typewriter-Regular"]];
+const wideCharacterFont = function wideCharacterFont(wideChar, mode) {
+  // IE doesn't support codePointAt(). So work with the surrogate pair.
+  const H = wideChar.charCodeAt(0); // high surrogate
+
+  const L = wideChar.charCodeAt(1); // low surrogate
+
+  const codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000;
+  const j = mode === "math" ? 0 : 1; // column index for CSS class.
+
+  if (0x1D400 <= codePoint && codePoint < 0x1D6A4) {
+    // wideLatinLetterData contains exactly 26 chars on each row.
+    // So we can calculate the relevant row. No traverse necessary.
+    const i = Math.floor((codePoint - 0x1D400) / 26);
+    return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]];
+  } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) {
+    // Numerals, ten per row.
+    const i = Math.floor((codePoint - 0x1D7CE) / 10);
+    return [wideNumeralData[i][2], wideNumeralData[i][j]];
+  } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) {
+    // dotless i or j
+    return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]];
+  } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) {
+    // Greek letters. Not supported, yet.
+    return ["", ""];
+  } else {
+    // We don't support any wide characters outside 1D400–1D7FF.
+    throw new ParseError("Unsupported character: " + wideChar);
+  }
+};
+
+/**
+ * This file contains information about the options that the Parser carries
+ * around with it while parsing. Data is held in an `Options` object, and when
+ * recursing, a new `Options` object can be created with the `.with*` and
+ * `.reset` functions.
+ */
+const sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize].
+// The size mappings are taken from TeX with \normalsize=10pt.
+[1, 1, 1], // size1: [5, 5, 5]              \tiny
+[2, 1, 1], // size2: [6, 5, 5]
+[3, 1, 1], // size3: [7, 5, 5]              \scriptsize
+[4, 2, 1], // size4: [8, 6, 5]              \footnotesize
+[5, 2, 1], // size5: [9, 6, 5]              \small
+[6, 3, 1], // size6: [10, 7, 5]             \normalsize
+[7, 4, 2], // size7: [12, 8, 6]             \large
+[8, 6, 3], // size8: [14.4, 10, 7]          \Large
+[9, 7, 6], // size9: [17.28, 12, 10]        \LARGE
+[10, 8, 7], // size10: [20.74, 14.4, 12]     \huge
+[11, 10, 9]];
+const sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if
+// you change size indexes, change that function.
+0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488];
+
+const sizeAtStyle = function sizeAtStyle(size, style) {
+  return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1];
+}; // In these types, "" (empty string) means "no change".
+
+
+/**
+ * This is the main options class. It contains the current style, size, color,
+ * and font.
+ *
+ * Options objects should not be modified. To create a new Options with
+ * different properties, call a `.having*` method.
+ */
+class Options {
+  // A font family applies to a group of fonts (i.e. SansSerif), while a font
+  // represents a specific font (i.e. SansSerif Bold).
+  // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm
+
+  /**
+   * The base size index.
+   */
+  constructor(data) {
+    this.style = void 0;
+    this.color = void 0;
+    this.size = void 0;
+    this.textSize = void 0;
+    this.phantom = void 0;
+    this.font = void 0;
+    this.fontFamily = void 0;
+    this.fontWeight = void 0;
+    this.fontShape = void 0;
+    this.sizeMultiplier = void 0;
+    this.maxSize = void 0;
+    this.minRuleThickness = void 0;
+    this._fontMetrics = void 0;
+    this.style = data.style;
+    this.color = data.color;
+    this.size = data.size || Options.BASESIZE;
+    this.textSize = data.textSize || this.size;
+    this.phantom = !!data.phantom;
+    this.font = data.font || "";
+    this.fontFamily = data.fontFamily || "";
+    this.fontWeight = data.fontWeight || '';
+    this.fontShape = data.fontShape || '';
+    this.sizeMultiplier = sizeMultipliers[this.size - 1];
+    this.maxSize = data.maxSize;
+    this.minRuleThickness = data.minRuleThickness;
+    this._fontMetrics = undefined;
+  }
+  /**
+   * Returns a new options object with the same properties as "this".  Properties
+   * from "extension" will be copied to the new options object.
+   */
+
+
+  extend(extension) {
+    const data = {
+      style: this.style,
+      size: this.size,
+      textSize: this.textSize,
+      color: this.color,
+      phantom: this.phantom,
+      font: this.font,
+      fontFamily: this.fontFamily,
+      fontWeight: this.fontWeight,
+      fontShape: this.fontShape,
+      maxSize: this.maxSize,
+      minRuleThickness: this.minRuleThickness
+    };
+
+    for (const key in extension) {
+      if (extension.hasOwnProperty(key)) {
+        data[key] = extension[key];
+      }
+    }
+
+    return new Options(data);
+  }
+  /**
+   * Return an options object with the given style. If `this.style === style`,
+   * returns `this`.
+   */
+
+
+  havingStyle(style) {
+    if (this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: sizeAtStyle(this.textSize, style)
+      });
+    }
+  }
+  /**
+   * Return an options object with a cramped version of the current style. If
+   * the current style is cramped, returns `this`.
+   */
+
+
+  havingCrampedStyle() {
+    return this.havingStyle(this.style.cramp());
+  }
+  /**
+   * Return an options object with the given size and in at least `\textstyle`.
+   * Returns `this` if appropriate.
+   */
+
+
+  havingSize(size) {
+    if (this.size === size && this.textSize === size) {
+      return this;
+    } else {
+      return this.extend({
+        style: this.style.text(),
+        size: size,
+        textSize: size,
+        sizeMultiplier: sizeMultipliers[size - 1]
+      });
+    }
+  }
+  /**
+   * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted,
+   * changes to at least `\textstyle`.
+   */
+
+
+  havingBaseStyle(style) {
+    style = style || this.style.text();
+    const wantSize = sizeAtStyle(Options.BASESIZE, style);
+
+    if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: wantSize
+      });
+    }
+  }
+  /**
+   * Remove the effect of sizing changes such as \Huge.
+   * Keep the effect of the current style, such as \scriptstyle.
+   */
+
+
+  havingBaseSizing() {
+    let size;
+
+    switch (this.style.id) {
+      case 4:
+      case 5:
+        size = 3; // normalsize in scriptstyle
+
+        break;
+
+      case 6:
+      case 7:
+        size = 1; // normalsize in scriptscriptstyle
+
+        break;
+
+      default:
+        size = 6;
+      // normalsize in textstyle or displaystyle
+    }
+
+    return this.extend({
+      style: this.style.text(),
+      size: size
+    });
+  }
+  /**
+   * Create a new options object with the given color.
+   */
+
+
+  withColor(color) {
+    return this.extend({
+      color: color
+    });
+  }
+  /**
+   * Create a new options object with "phantom" set to true.
+   */
+
+
+  withPhantom() {
+    return this.extend({
+      phantom: true
+    });
+  }
+  /**
+   * Creates a new options object with the given math font or old text font.
+   * @type {[type]}
+   */
+
+
+  withFont(font) {
+    return this.extend({
+      font
+    });
+  }
+  /**
+   * Create a new options objects with the given fontFamily.
+   */
+
+
+  withTextFontFamily(fontFamily) {
+    return this.extend({
+      fontFamily,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+
+
+  withTextFontWeight(fontWeight) {
+    return this.extend({
+      fontWeight,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+
+
+  withTextFontShape(fontShape) {
+    return this.extend({
+      fontShape,
+      font: ""
+    });
+  }
+  /**
+   * Return the CSS sizing classes required to switch from enclosing options
+   * `oldOptions` to `this`. Returns an array of classes.
+   */
+
+
+  sizingClasses(oldOptions) {
+    if (oldOptions.size !== this.size) {
+      return ["sizing", "reset-size" + oldOptions.size, "size" + this.size];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the CSS sizing classes required to switch to the base size. Like
+   * `this.havingSize(BASESIZE).sizingClasses(this)`.
+   */
+
+
+  baseSizingClasses() {
+    if (this.size !== Options.BASESIZE) {
+      return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the font metrics for this size.
+   */
+
+
+  fontMetrics() {
+    if (!this._fontMetrics) {
+      this._fontMetrics = getGlobalMetrics(this.size);
+    }
+
+    return this._fontMetrics;
+  }
+  /**
+   * Gets the CSS color of the current options object
+   */
+
+
+  getColor() {
+    if (this.phantom) {
+      return "transparent";
+    } else {
+      return this.color;
+    }
+  }
+
+}
+
+Options.BASESIZE = 6;
+
+/**
+ * This file does conversion between units.  In particular, it provides
+ * calculateSize to convert other units into ems.
+ */
+// Thus, multiplying a length by this number converts the length from units
+// into pts.  Dividing the result by ptPerEm gives the number of ems
+// *assuming* a font size of ptPerEm (normal size, normal style).
+
+const ptPerUnit = {
+  // https://en.wikibooks.org/wiki/LaTeX/Lengths and
+  // https://tex.stackexchange.com/a/8263
+  "pt": 1,
+  // TeX point
+  "mm": 7227 / 2540,
+  // millimeter
+  "cm": 7227 / 254,
+  // centimeter
+  "in": 72.27,
+  // inch
+  "bp": 803 / 800,
+  // big (PostScript) points
+  "pc": 12,
+  // pica
+  "dd": 1238 / 1157,
+  // didot
+  "cc": 14856 / 1157,
+  // cicero (12 didot)
+  "nd": 685 / 642,
+  // new didot
+  "nc": 1370 / 107,
+  // new cicero (12 new didot)
+  "sp": 1 / 65536,
+  // scaled point (TeX's internal smallest unit)
+  // https://tex.stackexchange.com/a/41371
+  "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX
+
+}; // Dictionary of relative units, for fast validity testing.
+
+const relativeUnit = {
+  "ex": true,
+  "em": true,
+  "mu": true
+};
+
+/**
+ * Determine whether the specified unit (either a string defining the unit
+ * or a "size" parse node containing a unit field) is valid.
+ */
+const validUnit = function validUnit(unit) {
+  if (typeof unit !== "string") {
+    unit = unit.unit;
+  }
+
+  return unit in ptPerUnit || unit in relativeUnit || unit === "ex";
+};
+/*
+ * Convert a "size" parse node (with numeric "number" and string "unit" fields,
+ * as parsed by functions.js argType "size") into a CSS em value for the
+ * current style/scale.  `options` gives the current options.
+ */
+
+const calculateSize = function calculateSize(sizeValue, options) {
+  let scale;
+
+  if (sizeValue.unit in ptPerUnit) {
+    // Absolute units
+    scale = ptPerUnit[sizeValue.unit] // Convert unit to pt
+    / options.fontMetrics().ptPerEm // Convert pt to CSS em
+    / options.sizeMultiplier; // Unscale to make absolute units
+  } else if (sizeValue.unit === "mu") {
+    // `mu` units scale with scriptstyle/scriptscriptstyle.
+    scale = options.fontMetrics().cssEmPerMu;
+  } else {
+    // Other relative units always refer to the *textstyle* font
+    // in the current size.
+    let unitOptions;
+
+    if (options.style.isTight()) {
+      // isTight() means current style is script/scriptscript.
+      unitOptions = options.havingStyle(options.style.text());
+    } else {
+      unitOptions = options;
+    } // TODO: In TeX these units are relative to the quad of the current
+    // *text* font, e.g. cmr10. KaTeX instead uses values from the
+    // comparably-sized *Computer Modern symbol* font. At 10pt, these
+    // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641;
+    // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$.
+    // TeX \showlists shows a kern of 1.13889 * fontsize;
+    // KaTeX shows a kern of 1.171 * fontsize.
+
+
+    if (sizeValue.unit === "ex") {
+      scale = unitOptions.fontMetrics().xHeight;
+    } else if (sizeValue.unit === "em") {
+      scale = unitOptions.fontMetrics().quad;
+    } else {
+      throw new ParseError("Invalid unit: '" + sizeValue.unit + "'");
+    }
+
+    if (unitOptions !== options) {
+      scale *= unitOptions.sizeMultiplier / options.sizeMultiplier;
+    }
+  }
+
+  return Math.min(sizeValue.number * scale, options.maxSize);
+};
+
+/* eslint no-console:0 */
+// The following have to be loaded from Main-Italic font, using class mathit
+const mathitLetters = ["\\imath", "ı", // dotless i
+"\\jmath", "ȷ", // dotless j
+"\\pounds", "\\mathsterling", "\\textsterling", "£"];
+/**
+ * Looks up the given symbol in fontMetrics, after applying any symbol
+ * replacements defined in symbol.js
+ */
+
+const lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this.
+fontName, mode) {
+  // Replace the value with its replaced value from symbol.js
+  if (symbols[mode][value] && symbols[mode][value].replace) {
+    value = symbols[mode][value].replace;
+  }
+
+  return {
+    value: value,
+    metrics: getCharacterMetrics(value, fontName, mode)
+  };
+};
+/**
+ * Makes a symbolNode after translation via the list of symbols in symbols.js.
+ * Correctly pulls out metrics for the character, and optionally takes a list of
+ * classes to be attached to the node.
+ *
+ * TODO: make argument order closer to makeSpan
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ * TODO(#953): Make `options` mandatory and always pass it in.
+ */
+
+
+const makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
+  const lookup = lookupSymbol(value, fontName, mode);
+  const metrics = lookup.metrics;
+  value = lookup.value;
+  let symbolNode;
+
+  if (metrics) {
+    let italic = metrics.italic;
+
+    if (mode === "text" || options && options.font === "mathit") {
+      italic = 0;
+    }
+
+    symbolNode = new SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes);
+  } else {
+    // TODO(emily): Figure out a good way to only print this in development
+    typeof console !== "undefined" && console.warn("No character metrics " + `for '${value}' in style '${fontName}' and mode '${mode}'`);
+    symbolNode = new SymbolNode(value, 0, 0, 0, 0, 0, classes);
+  }
+
+  if (options) {
+    symbolNode.maxFontSize = options.sizeMultiplier;
+
+    if (options.style.isTight()) {
+      symbolNode.classes.push("mtight");
+    }
+
+    const color = options.getColor();
+
+    if (color) {
+      symbolNode.style.color = color;
+    }
+  }
+
+  return symbolNode;
+};
+/**
+ * Makes a symbol in Main-Regular or AMS-Regular.
+ * Used for rel, bin, open, close, inner, and punct.
+ */
+
+
+const mathsym = function mathsym(value, mode, options, classes) {
+  if (classes === void 0) {
+    classes = [];
+  }
+
+  // Decide what font to render the symbol in by its entry in the symbols
+  // table.
+  // Have a special case for when the value = \ because the \ is used as a
+  // textord in unsupported command errors but cannot be parsed as a regular
+  // text ordinal and is therefore not present as a symbol in the symbols
+  // table for text, as well as a special case for boldsymbol because it
+  // can be used for bold + and -
+  if (options.font === "boldsymbol" && lookupSymbol(value, "Main-Bold", mode).metrics) {
+    return makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"]));
+  } else if (value === "\\" || symbols[mode][value].font === "main") {
+    return makeSymbol(value, "Main-Regular", mode, options, classes);
+  } else {
+    return makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"]));
+  }
+};
+/**
+ * Determines which of the two font names (Main-Italic and Math-Italic) and
+ * corresponding style tags (maindefault or mathit) to use for default math font,
+ * depending on the symbol.
+ */
+
+
+const mathdefault = function mathdefault(value, mode, options, classes) {
+  if (/[0-9]/.test(value.charAt(0)) || // glyphs for \imath and \jmath do not exist in Math-Italic so we
+  // need to use Main-Italic instead
+  utils.contains(mathitLetters, value)) {
+    return {
+      fontName: "Main-Italic",
+      fontClass: "mathit"
+    };
+  } else {
+    return {
+      fontName: "Math-Italic",
+      fontClass: "mathdefault"
+    };
+  }
+};
+/**
+ * Determines which of the font names (Main-Italic, Math-Italic, and Caligraphic)
+ * and corresponding style tags (mathit, mathdefault, or mathcal) to use for font
+ * "mathnormal", depending on the symbol.  Use this function instead of fontMap for
+ * font "mathnormal".
+ */
+
+
+const mathnormal = function mathnormal(value, mode, options, classes) {
+  if (utils.contains(mathitLetters, value)) {
+    return {
+      fontName: "Main-Italic",
+      fontClass: "mathit"
+    };
+  } else if (/[0-9]/.test(value.charAt(0))) {
+    return {
+      fontName: "Caligraphic-Regular",
+      fontClass: "mathcal"
+    };
+  } else {
+    return {
+      fontName: "Math-Italic",
+      fontClass: "mathdefault"
+    };
+  }
+};
+/**
+ * Determines which of the two font names (Main-Bold and Math-BoldItalic) and
+ * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol",
+ * depending on the symbol.  Use this function instead of fontMap for font
+ * "boldsymbol".
+ */
+
+
+const boldsymbol = function boldsymbol(value, mode, options, classes) {
+  if (lookupSymbol(value, "Math-BoldItalic", mode).metrics) {
+    return {
+      fontName: "Math-BoldItalic",
+      fontClass: "boldsymbol"
+    };
+  } else {
+    // Some glyphs do not exist in Math-BoldItalic so we need to use
+    // Main-Bold instead.
+    return {
+      fontName: "Main-Bold",
+      fontClass: "mathbf"
+    };
+  }
+};
+/**
+ * Makes either a mathord or textord in the correct font and color.
+ */
+
+
+const makeOrd = function makeOrd(group, options, type) {
+  const mode = group.mode;
+  const text = group.text;
+  const classes = ["mord"]; // Math mode or Old font (i.e. \rm)
+
+  const isFont = mode === "math" || mode === "text" && options.font;
+  const fontOrFamily = isFont ? options.font : options.fontFamily;
+
+  if (text.charCodeAt(0) === 0xD835) {
+    // surrogate pairs get special treatment
+    const _wideCharacterFont = wideCharacterFont(text, mode),
+          wideFontName = _wideCharacterFont[0],
+          wideFontClass = _wideCharacterFont[1];
+
+    return makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass));
+  } else if (fontOrFamily) {
+    let fontName;
+    let fontClasses;
+
+    if (fontOrFamily === "boldsymbol" || fontOrFamily === "mathnormal") {
+      const fontData = fontOrFamily === "boldsymbol" ? boldsymbol(text, mode, options, classes) : mathnormal(text, mode, options, classes);
+      fontName = fontData.fontName;
+      fontClasses = [fontData.fontClass];
+    } else if (utils.contains(mathitLetters, text)) {
+      fontName = "Main-Italic";
+      fontClasses = ["mathit"];
+    } else if (isFont) {
+      fontName = fontMap[fontOrFamily].fontName;
+      fontClasses = [fontOrFamily];
+    } else {
+      fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape);
+      fontClasses = [fontOrFamily, options.fontWeight, options.fontShape];
+    }
+
+    if (lookupSymbol(text, fontName, mode).metrics) {
+      return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
+    } else if (ligatures.hasOwnProperty(text) && fontName.substr(0, 10) === "Typewriter") {
+      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
+      const parts = [];
+
+      for (let i = 0; i < text.length; i++) {
+        parts.push(makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses)));
+      }
+
+      return makeFragment(parts);
+    }
+  } // Makes a symbol in the default font for mathords and textords.
+
+
+  if (type === "mathord") {
+    const fontLookup = mathdefault(text, mode, options, classes);
+    return makeSymbol(text, fontLookup.fontName, mode, options, classes.concat([fontLookup.fontClass]));
+  } else if (type === "textord") {
+    const font = symbols[mode][text] && symbols[mode][text].font;
+
+    if (font === "ams") {
+      const fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape);
+      return makeSymbol(text, fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape));
+    } else if (font === "main" || !font) {
+      const fontName = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
+      return makeSymbol(text, fontName, mode, options, classes.concat(options.fontWeight, options.fontShape));
+    } else {
+      // fonts added by plugins
+      const fontName = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class
+
+      return makeSymbol(text, fontName, mode, options, classes.concat(fontName, options.fontWeight, options.fontShape));
+    }
+  } else {
+    throw new Error("unexpected type: " + type + " in makeOrd");
+  }
+};
+/**
+ * Returns true if subsequent symbolNodes have the same classes, skew, maxFont,
+ * and styles.
+ */
+
+
+const canCombine = (prev, next) => {
+  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
+    return false;
+  }
+
+  for (const style in prev.style) {
+    if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
+      return false;
+    }
+  }
+
+  for (const style in next.style) {
+    if (next.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
+      return false;
+    }
+  }
+
+  return true;
+};
+/**
+ * Combine consequetive domTree.symbolNodes into a single symbolNode.
+ * Note: this function mutates the argument.
+ */
+
+
+const tryCombineChars = chars => {
+  for (let i = 0; i < chars.length - 1; i++) {
+    const prev = chars[i];
+    const next = chars[i + 1];
+
+    if (prev instanceof SymbolNode && next instanceof SymbolNode && canCombine(prev, next)) {
+      prev.text += next.text;
+      prev.height = Math.max(prev.height, next.height);
+      prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use
+      // it to add padding to the right of the span created from
+      // the combined characters.
+
+      prev.italic = next.italic;
+      chars.splice(i + 1, 1);
+      i--;
+    }
+  }
+
+  return chars;
+};
+/**
+ * Calculate the height, depth, and maxFontSize of an element based on its
+ * children.
+ */
+
+
+const sizeElementFromChildren = function sizeElementFromChildren(elem) {
+  let height = 0;
+  let depth = 0;
+  let maxFontSize = 0;
+
+  for (let i = 0; i < elem.children.length; i++) {
+    const child = elem.children[i];
+
+    if (child.height > height) {
+      height = child.height;
+    }
+
+    if (child.depth > depth) {
+      depth = child.depth;
+    }
+
+    if (child.maxFontSize > maxFontSize) {
+      maxFontSize = child.maxFontSize;
+    }
+  }
+
+  elem.height = height;
+  elem.depth = depth;
+  elem.maxFontSize = maxFontSize;
+};
+/**
+ * Makes a span with the given list of classes, list of children, and options.
+ *
+ * TODO(#953): Ensure that `options` is always provided (currently some call
+ * sites don't pass it) and make the type below mandatory.
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ */
+
+
+const makeSpan = function makeSpan(classes, children, options, style) {
+  const span = new Span(classes, children, options, style);
+  sizeElementFromChildren(span);
+  return span;
+}; // SVG one is simpler -- doesn't require height, depth, max-font setting.
+// This is also a separate method for typesafety.
+
+
+const makeSvgSpan = (classes, children, options, style) => new Span(classes, children, options, style);
+
+const makeLineSpan = function makeLineSpan(className, options, thickness) {
+  const line = makeSpan([className], [], options);
+  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
+  line.style.borderBottomWidth = line.height + "em";
+  line.maxFontSize = 1.0;
+  return line;
+};
+/**
+ * Makes an anchor with the given href, list of classes, list of children,
+ * and options.
+ */
+
+
+const makeAnchor = function makeAnchor(href, classes, children, options) {
+  const anchor = new Anchor(href, classes, children, options);
+  sizeElementFromChildren(anchor);
+  return anchor;
+};
+/**
+ * Makes a document fragment with the given list of children.
+ */
+
+
+const makeFragment = function makeFragment(children) {
+  const fragment = new DocumentFragment(children);
+  sizeElementFromChildren(fragment);
+  return fragment;
+};
+/**
+ * Wraps group in a span if it's a document fragment, allowing to apply classes
+ * and styles
+ */
+
+
+const wrapFragment = function wrapFragment(group, options) {
+  if (group instanceof DocumentFragment) {
+    return makeSpan([], [group], options);
+  }
+
+  return group;
+}; // These are exact object types to catch typos in the names of the optional fields.
+
+
+// Computes the updated `children` list and the overall depth.
+//
+// This helper function for makeVList makes it easier to enforce type safety by
+// allowing early exits (returns) in the logic.
+const getVListChildrenAndDepth = function getVListChildrenAndDepth(params) {
+  if (params.positionType === "individualShift") {
+    const oldChildren = params.children;
+    const children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be
+    // shifted to the correct specified shift
+
+    const depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
+    let currPos = depth;
+
+    for (let i = 1; i < oldChildren.length; i++) {
+      const diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth;
+      const size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth);
+      currPos = currPos + diff;
+      children.push({
+        type: "kern",
+        size
+      });
+      children.push(oldChildren[i]);
+    }
+
+    return {
+      children,
+      depth
+    };
+  }
+
+  let depth;
+
+  if (params.positionType === "top") {
+    // We always start at the bottom, so calculate the bottom by adding up
+    // all the sizes
+    let bottom = params.positionData;
+
+    for (let i = 0; i < params.children.length; i++) {
+      const child = params.children[i];
+      bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth;
+    }
+
+    depth = bottom;
+  } else if (params.positionType === "bottom") {
+    depth = -params.positionData;
+  } else {
+    const firstChild = params.children[0];
+
+    if (firstChild.type !== "elem") {
+      throw new Error('First child must have type "elem".');
+    }
+
+    if (params.positionType === "shift") {
+      depth = -firstChild.elem.depth - params.positionData;
+    } else if (params.positionType === "firstBaseline") {
+      depth = -firstChild.elem.depth;
+    } else {
+      throw new Error(`Invalid positionType ${params.positionType}.`);
+    }
+  }
+
+  return {
+    children: params.children,
+    depth
+  };
+};
+/**
+ * Makes a vertical list by stacking elements and kerns on top of each other.
+ * Allows for many different ways of specifying the positioning method.
+ *
+ * See VListParam documentation above.
+ */
+
+
+const makeVList = function makeVList(params, options) {
+  const _getVListChildrenAndD = getVListChildrenAndDepth(params),
+        children = _getVListChildrenAndD.children,
+        depth = _getVListChildrenAndD.depth; // Create a strut that is taller than any list item. The strut is added to
+  // each item, where it will determine the item's baseline. Since it has
+  // `overflow:hidden`, the strut's top edge will sit on the item's line box's
+  // top edge and the strut's bottom edge will sit on the item's baseline,
+  // with no additional line-height spacing. This allows the item baseline to
+  // be positioned precisely without worrying about font ascent and
+  // line-height.
+
+
+  let pstrutSize = 0;
+
+  for (let i = 0; i < children.length; i++) {
+    const child = children[i];
+
+    if (child.type === "elem") {
+      const elem = child.elem;
+      pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height);
+    }
+  }
+
+  pstrutSize += 2;
+  const pstrut = makeSpan(["pstrut"], []);
+  pstrut.style.height = pstrutSize + "em"; // Create a new list of actual children at the correct offsets
+
+  const realChildren = [];
+  let minPos = depth;
+  let maxPos = depth;
+  let currPos = depth;
+
+  for (let i = 0; i < children.length; i++) {
+    const child = children[i];
+
+    if (child.type === "kern") {
+      currPos += child.size;
+    } else {
+      const elem = child.elem;
+      const classes = child.wrapperClasses || [];
+      const style = child.wrapperStyle || {};
+      const childWrap = makeSpan(classes, [pstrut, elem], undefined, style);
+      childWrap.style.top = -pstrutSize - currPos - elem.depth + "em";
+
+      if (child.marginLeft) {
+        childWrap.style.marginLeft = child.marginLeft;
+      }
+
+      if (child.marginRight) {
+        childWrap.style.marginRight = child.marginRight;
+      }
+
+      realChildren.push(childWrap);
+      currPos += elem.height + elem.depth;
+    }
+
+    minPos = Math.min(minPos, currPos);
+    maxPos = Math.max(maxPos, currPos);
+  } // The vlist contents go in a table-cell with `vertical-align:bottom`.
+  // This cell's bottom edge will determine the containing table's baseline
+  // without overly expanding the containing line-box.
+
+
+  const vlist = makeSpan(["vlist"], realChildren);
+  vlist.style.height = maxPos + "em"; // A second row is used if necessary to represent the vlist's depth.
+
+  let rows;
+
+  if (minPos < 0) {
+    // We will define depth in an empty span with display: table-cell.
+    // It should render with the height that we define. But Chrome, in
+    // contenteditable mode only, treats that span as if it contains some
+    // text content. And that min-height over-rides our desired height.
+    // So we put another empty span inside the depth strut span.
+    const emptySpan = makeSpan([], []);
+    const depthStrut = makeSpan(["vlist"], [emptySpan]);
+    depthStrut.style.height = -minPos + "em"; // Safari wants the first row to have inline content; otherwise it
+    // puts the bottom of the *second* row on the baseline.
+
+    const topStrut = makeSpan(["vlist-s"], [new SymbolNode("\u200b")]);
+    rows = [makeSpan(["vlist-r"], [vlist, topStrut]), makeSpan(["vlist-r"], [depthStrut])];
+  } else {
+    rows = [makeSpan(["vlist-r"], [vlist])];
+  }
+
+  const vtable = makeSpan(["vlist-t"], rows);
+
+  if (rows.length === 2) {
+    vtable.classes.push("vlist-t2");
+  }
+
+  vtable.height = maxPos;
+  vtable.depth = -minPos;
+  return vtable;
+}; // Glue is a concept from TeX which is a flexible space between elements in
+// either a vertical or horizontal list. In KaTeX, at least for now, it's
+// static space between elements in a horizontal layout.
+
+
+const makeGlue = (measurement, options) => {
+  // Make an empty span for the space
+  const rule = makeSpan(["mspace"], [], options);
+  const size = calculateSize(measurement, options);
+  rule.style.marginRight = `${size}em`;
+  return rule;
+}; // Takes font options, and returns the appropriate fontLookup name
+
+
+const retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) {
+  let baseFontName = "";
+
+  switch (fontFamily) {
+    case "amsrm":
+      baseFontName = "AMS";
+      break;
+
+    case "textrm":
+      baseFontName = "Main";
+      break;
+
+    case "textsf":
+      baseFontName = "SansSerif";
+      break;
+
+    case "texttt":
+      baseFontName = "Typewriter";
+      break;
+
+    default:
+      baseFontName = fontFamily;
+    // use fonts added by a plugin
+  }
+
+  let fontStylesName;
+
+  if (fontWeight === "textbf" && fontShape === "textit") {
+    fontStylesName = "BoldItalic";
+  } else if (fontWeight === "textbf") {
+    fontStylesName = "Bold";
+  } else if (fontWeight === "textit") {
+    fontStylesName = "Italic";
+  } else {
+    fontStylesName = "Regular";
+  }
+
+  return `${baseFontName}-${fontStylesName}`;
+};
+/**
+ * Maps TeX font commands to objects containing:
+ * - variant: string used for "mathvariant" attribute in buildMathML.js
+ * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics
+ */
+// A map between tex font commands an MathML mathvariant attribute values
+
+
+const fontMap = {
+  // styles
+  "mathbf": {
+    variant: "bold",
+    fontName: "Main-Bold"
+  },
+  "mathrm": {
+    variant: "normal",
+    fontName: "Main-Regular"
+  },
+  "textit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  "mathit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  // Default math font, "mathnormal" and "boldsymbol" are missing because they
+  // require the use of several fonts: Main-Italic and Math-Italic for default
+  // math font, Main-Italic, Math-Italic, Caligraphic for "mathnormal", and
+  // Math-BoldItalic and Main-Bold for "boldsymbol".  This is handled by a
+  // special case in makeOrd which ends up calling mathdefault, mathnormal,
+  // and boldsymbol.
+  // families
+  "mathbb": {
+    variant: "double-struck",
+    fontName: "AMS-Regular"
+  },
+  "mathcal": {
+    variant: "script",
+    fontName: "Caligraphic-Regular"
+  },
+  "mathfrak": {
+    variant: "fraktur",
+    fontName: "Fraktur-Regular"
+  },
+  "mathscr": {
+    variant: "script",
+    fontName: "Script-Regular"
+  },
+  "mathsf": {
+    variant: "sans-serif",
+    fontName: "SansSerif-Regular"
+  },
+  "mathtt": {
+    variant: "monospace",
+    fontName: "Typewriter-Regular"
+  }
+};
+const svgData = {
+  //   path, width, height
+  vec: ["vec", 0.471, 0.714],
+  // values from the font glyph
+  oiintSize1: ["oiintSize1", 0.957, 0.499],
+  // oval to overlay the integrand
+  oiintSize2: ["oiintSize2", 1.472, 0.659],
+  oiiintSize1: ["oiiintSize1", 1.304, 0.499],
+  oiiintSize2: ["oiiintSize2", 1.98, 0.659]
+};
+
+const staticSvg = function staticSvg(value, options) {
+  // Create a span with inline SVG for the element.
+  const _svgData$value = svgData[value],
+        pathName = _svgData$value[0],
+        width = _svgData$value[1],
+        height = _svgData$value[2];
+  const path = new PathNode(pathName);
+  const svgNode = new SvgNode([path], {
+    "width": width + "em",
+    "height": height + "em",
+    // Override CSS rule `.katex svg { width: 100% }`
+    "style": "width:" + width + "em",
+    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
+    "preserveAspectRatio": "xMinYMin"
+  });
+  const span = makeSvgSpan(["overlay"], [svgNode], options);
+  span.height = height;
+  span.style.height = height + "em";
+  span.style.width = width + "em";
+  return span;
+};
+
+var buildCommon = {
+  fontMap,
+  makeSymbol,
+  mathsym,
+  makeSpan,
+  makeSvgSpan,
+  makeLineSpan,
+  makeAnchor,
+  makeFragment,
+  wrapFragment,
+  makeVList,
+  makeOrd,
+  makeGlue,
+  staticSvg,
+  svgData,
+  tryCombineChars
+};
+
+/**
+ * Asserts that the node is of the given type and returns it with stricter
+ * typing. Throws if the node's type does not match.
+ */
+function assertNodeType(node, type) {
+  const typedNode = checkNodeType(node, type);
+
+  if (!typedNode) {
+    throw new Error(`Expected node of type ${type}, but got ` + (node ? `node of type ${node.type}` : String(node)));
+  } // $FlowFixMe: Unsure why.
+
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkNodeType(node, type) {
+  if (node && node.type === type) {
+    // The definition of ParseNode<TYPE> doesn't communicate to flow that
+    // `type: TYPE` (as that's not explicitly mentioned anywhere), though that
+    // happens to be true for all our value types.
+    // $FlowFixMe
+    return node;
+  }
+
+  return null;
+}
+/**
+ * Asserts that the node is of the given type and returns it with stricter
+ * typing. Throws if the node's type does not match.
+ */
+
+function assertAtomFamily(node, family) {
+  const typedNode = checkAtomFamily(node, family);
+
+  if (!typedNode) {
+    throw new Error(`Expected node of type "atom" and family "${family}", but got ` + (node ? node.type === "atom" ? `atom of family ${node.family}` : `node of type ${node.type}` : String(node)));
+  }
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkAtomFamily(node, family) {
+  return node && node.type === "atom" && node.family === family ? node : null;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function assertSymbolNodeType(node) {
+  const typedNode = checkSymbolNodeType(node);
+
+  if (!typedNode) {
+    throw new Error(`Expected node of symbol group type, but got ` + (node ? `node of type ${node.type}` : String(node)));
+  }
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkSymbolNodeType(node) {
+  if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) {
+    // $FlowFixMe
+    return node;
+  }
+
+  return null;
+}
+
+/**
+ * Describes spaces between different classes of atoms.
+ */
+const thinspace = {
+  number: 3,
+  unit: "mu"
+};
+const mediumspace = {
+  number: 4,
+  unit: "mu"
+};
+const thickspace = {
+  number: 5,
+  unit: "mu"
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+
+// Spacing relationships for display and text styles
+const spacings = {
+  mord: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mbin: {
+    mord: mediumspace,
+    mop: mediumspace,
+    mopen: mediumspace,
+    minner: mediumspace
+  },
+  mrel: {
+    mord: thickspace,
+    mop: thickspace,
+    mopen: thickspace,
+    minner: thickspace
+  },
+  mopen: {},
+  mclose: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mpunct: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mclose: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  },
+  minner: {
+    mord: thinspace,
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  }
+}; // Spacing relationships for script and scriptscript styles
+
+const tightSpacings = {
+  mord: {
+    mop: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace
+  },
+  mbin: {},
+  mrel: {},
+  mopen: {},
+  mclose: {
+    mop: thinspace
+  },
+  mpunct: {},
+  minner: {
+    mop: thinspace
+  }
+};
+
+/**
+ * All registered functions.
+ * `functions.js` just exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary.
+ */
+const _functions = {};
+/**
+ * All HTML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+const _htmlGroupBuilders = {};
+/**
+ * All MathML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+const _mathmlGroupBuilders = {};
+function defineFunction(_ref) {
+  let type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of functions
+  const data = {
+    type,
+    numArgs: props.numArgs,
+    argTypes: props.argTypes,
+    greediness: props.greediness === undefined ? 1 : props.greediness,
+    allowedInText: !!props.allowedInText,
+    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
+    numOptionalArgs: props.numOptionalArgs || 0,
+    infix: !!props.infix,
+    handler: handler
+  };
+
+  for (let i = 0; i < names.length; ++i) {
+    _functions[names[i]] = data;
+  }
+
+  if (type) {
+    if (htmlBuilder) {
+      _htmlGroupBuilders[type] = htmlBuilder;
+    }
+
+    if (mathmlBuilder) {
+      _mathmlGroupBuilders[type] = mathmlBuilder;
+    }
+  }
+}
+/**
+ * Use this to register only the HTML and MathML builders for a function (e.g.
+ * if the function's ParseNode is generated in Parser.js rather than via a
+ * stand-alone handler provided to `defineFunction`).
+ */
+
+function defineFunctionBuilders(_ref2) {
+  let type = _ref2.type,
+      htmlBuilder = _ref2.htmlBuilder,
+      mathmlBuilder = _ref2.mathmlBuilder;
+  defineFunction({
+    type,
+    names: [],
+    props: {
+      numArgs: 0
+    },
+
+    handler() {
+      throw new Error('Should never be called.');
+    },
+
+    htmlBuilder,
+    mathmlBuilder
+  });
+} // Since the corresponding buildHTML/buildMathML function expects a
+// list of elements, we normalize for different kinds of arguments
+
+const ordargument = function ordargument(arg) {
+  const node = checkNodeType(arg, "ordgroup");
+  return node ? node.body : [arg];
+};
+
+/**
+ * This file does the main work of building a domTree structure from a parse
+ * tree. The entry point is the `buildHTML` function, which takes a parse tree.
+ * Then, the buildExpression, buildGroup, and various groupBuilders functions
+ * are called, to produce a final HTML tree.
+ */
+const makeSpan$1 = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`)
+// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6,
+// and the text before Rule 19.
+
+const binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
+const binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
+const styleMap = {
+  "display": Style$1.DISPLAY,
+  "text": Style$1.TEXT,
+  "script": Style$1.SCRIPT,
+  "scriptscript": Style$1.SCRIPTSCRIPT
+};
+const DomEnum = {
+  mord: "mord",
+  mop: "mop",
+  mbin: "mbin",
+  mrel: "mrel",
+  mopen: "mopen",
+  mclose: "mclose",
+  mpunct: "mpunct",
+  minner: "minner"
+};
+
+/**
+ * Take a list of nodes, build them in order, and return a list of the built
+ * nodes. documentFragments are flattened into their contents, so the
+ * returned list contains no fragments. `isRealGroup` is true if `expression`
+ * is a real group (no atoms will be added on either side), as opposed to
+ * a partial group (e.g. one created by \color). `surrounding` is an array
+ * consisting type of nodes that will be added to the left and right.
+ */
+const buildExpression = function buildExpression(expression, options, isRealGroup, surrounding) {
+  if (surrounding === void 0) {
+    surrounding = [null, null];
+  }
+
+  // Parse expressions into `groups`.
+  const groups = [];
+
+  for (let i = 0; i < expression.length; i++) {
+    const output = buildGroup(expression[i], options);
+
+    if (output instanceof DocumentFragment) {
+      const children = output.children;
+      groups.push(...children);
+    } else {
+      groups.push(output);
+    }
+  } // If `expression` is a partial group, let the parent handle spacings
+  // to avoid processing groups multiple times.
+
+
+  if (!isRealGroup) {
+    return groups;
+  }
+
+  let glueOptions = options;
+
+  if (expression.length === 1) {
+    const node = checkNodeType(expression[0], "sizing") || checkNodeType(expression[0], "styling");
+
+    if (!node) ; else if (node.type === "sizing") {
+      glueOptions = options.havingSize(node.size);
+    } else if (node.type === "styling") {
+      glueOptions = options.havingStyle(styleMap[node.style]);
+    }
+  } // Dummy spans for determining spacings between surrounding atoms.
+  // If `expression` has no atoms on the left or right, class "leftmost"
+  // or "rightmost", respectively, is used to indicate it.
+
+
+  const dummyPrev = makeSpan$1([surrounding[0] || "leftmost"], [], options);
+  const dummyNext = makeSpan$1([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element
+  // of its `classes` array. A later cleanup should ensure this, for
+  // instance by changing the signature of `makeSpan`.
+  // Before determining what spaces to insert, perform bin cancellation.
+  // Binary operators change to ordinary symbols in some contexts.
+
+  traverseNonSpaceNodes(groups, (node, prev) => {
+    const prevType = prev.classes[0];
+    const type = node.classes[0];
+
+    if (prevType === "mbin" && utils.contains(binRightCanceller, type)) {
+      prev.classes[0] = "mord";
+    } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) {
+      node.classes[0] = "mord";
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext);
+  traverseNonSpaceNodes(groups, (node, prev) => {
+    const prevType = getTypeOfDomTree(prev);
+    const type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style.
+
+    const space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null;
+
+    if (space) {
+      // Insert glue (spacing) after the `prev`.
+      return buildCommon.makeGlue(space, glueOptions);
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext);
+  return groups;
+}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and
+// previous node as arguments, optionally returning a node to insert after the
+// previous node. `prev` is an object with the previous node and `insertAfter`
+// function to insert after it. `next` is a node that will be added to the right.
+// Used for bin cancellation and inserting spacings.
+
+const traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next) {
+  if (next) {
+    // temporarily append the right node, if exists
+    nodes.push(next);
+  }
+
+  let i = 0;
+
+  for (; i < nodes.length; i++) {
+    const node = nodes[i];
+    const partialGroup = checkPartialGroup(node);
+
+    if (partialGroup) {
+      // Recursive DFS
+      // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array
+      traverseNonSpaceNodes(partialGroup.children, callback, prev);
+      continue;
+    } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit
+    // spacing should go between atoms of different classes
+
+
+    if (node.classes[0] === "mspace") {
+      continue;
+    }
+
+    const result = callback(node, prev.node);
+
+    if (result) {
+      if (prev.insertAfter) {
+        prev.insertAfter(result);
+      } else {
+        // insert at front
+        nodes.unshift(result);
+        i++;
+      }
+    }
+
+    prev.node = node;
+
+    prev.insertAfter = (index => n => {
+      nodes.splice(index + 1, 0, n);
+      i++;
+    })(i);
+  }
+
+  if (next) {
+    nodes.pop();
+  }
+}; // Check if given node is a partial group, i.e., does not affect spacing around.
+
+
+const checkPartialGroup = function checkPartialGroup(node) {
+  if (node instanceof DocumentFragment || node instanceof Anchor) {
+    return node;
+  }
+
+  return null;
+}; // Return the outermost node of a domTree.
+
+
+const getOutermostNode = function getOutermostNode(node, side) {
+  const partialGroup = checkPartialGroup(node);
+
+  if (partialGroup) {
+    const children = partialGroup.children;
+
+    if (children.length) {
+      if (side === "right") {
+        return getOutermostNode(children[children.length - 1], "right");
+      } else if (side === "left") {
+        return getOutermostNode(children[0], "left");
+      }
+    }
+  }
+
+  return node;
+}; // Return math atom class (mclass) of a domTree.
+// If `side` is given, it will get the type of the outermost node at given side.
+
+
+const getTypeOfDomTree = function getTypeOfDomTree(node, side) {
+  if (!node) {
+    return null;
+  }
+
+  if (side) {
+    node = getOutermostNode(node, side);
+  } // This makes a lot of assumptions as to where the type of atom
+  // appears.  We should do a better job of enforcing this.
+
+
+  return DomEnum[node.classes[0]] || null;
+};
+const makeNullDelimiter = function makeNullDelimiter(options, classes) {
+  const moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses());
+  return makeSpan$1(classes.concat(moreClasses));
+};
+/**
+ * buildGroup is the function that takes a group and calls the correct groupType
+ * function for it. It also handles the interaction of size and style changes
+ * between parents and children.
+ */
+
+const buildGroup = function buildGroup(group, options, baseOptions) {
+  if (!group) {
+    return makeSpan$1();
+  }
+
+  if (_htmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    let groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account
+    // for that size difference.
+
+    if (baseOptions && options.size !== baseOptions.size) {
+      groupNode = makeSpan$1(options.sizingClasses(baseOptions), [groupNode], options);
+      const multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier;
+      groupNode.height *= multiplier;
+      groupNode.depth *= multiplier;
+    }
+
+    return groupNode;
+  } else {
+    throw new ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`)
+ * into an unbreakable HTML node of class .base, with proper struts to
+ * guarantee correct vertical extent.  `buildHTML` calls this repeatedly to
+ * make up the entire expression as a sequence of unbreakable units.
+ */
+
+function buildHTMLUnbreakable(children, options) {
+  // Compute height and depth of this chunk.
+  const body = makeSpan$1(["base"], children, options); // Add strut, which ensures that the top of the HTML element falls at
+  // the height of the expression, and the bottom of the HTML element
+  // falls at the depth of the expression.
+  // We used to have separate top and bottom struts, where the bottom strut
+  // would like to use `vertical-align: top`, but in IE 9 this lowers the
+  // baseline of the box to the bottom of this strut (instead of staying in
+  // the normal place) so we use an absolute value for vertical-align instead.
+
+  const strut = makeSpan$1(["strut"]);
+  strut.style.height = body.height + body.depth + "em";
+  strut.style.verticalAlign = -body.depth + "em";
+  body.children.unshift(strut);
+  return body;
+}
+/**
+ * Take an entire parse tree, and build it into an appropriate set of HTML
+ * nodes.
+ */
+
+
+function buildHTML(tree, options) {
+  // Strip off outer tag wrapper for processing below.
+  let tag = null;
+
+  if (tree.length === 1 && tree[0].type === "tag") {
+    tag = tree[0].tag;
+    tree = tree[0].body;
+  } // Build the expression contained in the tree
+
+
+  const expression = buildExpression(tree, options, true);
+  const children = []; // Create one base node for each chunk between potential line breaks.
+  // The TeXBook [p.173] says "A formula will be broken only after a
+  // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary
+  // operation symbol like $+$ or $-$ or $\times$, where the relation or
+  // binary operation is on the ``outer level'' of the formula (i.e., not
+  // enclosed in {...} and not part of an \over construction)."
+
+  let parts = [];
+
+  for (let i = 0; i < expression.length; i++) {
+    parts.push(expression[i]);
+
+    if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) {
+      // Put any post-operator glue on same line as operator.
+      // Watch for \nobreak along the way, and stop at \newline.
+      let nobreak = false;
+
+      while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) {
+        i++;
+        parts.push(expression[i]);
+
+        if (expression[i].hasClass("nobreak")) {
+          nobreak = true;
+        }
+      } // Don't allow break if \nobreak among the post-operator glue.
+
+
+      if (!nobreak) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      }
+    } else if (expression[i].hasClass("newline")) {
+      // Write the line except the newline
+      parts.pop();
+
+      if (parts.length > 0) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      } // Put the newline at the top level
+
+
+      children.push(expression[i]);
+    }
+  }
+
+  if (parts.length > 0) {
+    children.push(buildHTMLUnbreakable(parts, options));
+  } // Now, if there was a tag, build it too and append it as a final child.
+
+
+  let tagChild;
+
+  if (tag) {
+    tagChild = buildHTMLUnbreakable(buildExpression(tag, options, true));
+    tagChild.classes = ["tag"];
+    children.push(tagChild);
+  }
+
+  const htmlNode = makeSpan$1(["katex-html"], children);
+  htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children
+  // (the height of the enclosing htmlNode) for proper vertical alignment.
+
+  if (tagChild) {
+    const strut = tagChild.children[0];
+    strut.style.height = htmlNode.height + htmlNode.depth + "em";
+    strut.style.verticalAlign = -htmlNode.depth + "em";
+  }
+
+  return htmlNode;
+}
+
+/**
+ * These objects store data about MathML nodes. This is the MathML equivalent
+ * of the types in domTree.js. Since MathML handles its own rendering, and
+ * since we're mainly using MathML to improve accessibility, we don't manage
+ * any of the styling state that the plain DOM nodes do.
+ *
+ * The `toNode` and `toMarkup` functions work simlarly to how they do in
+ * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.
+ */
+function newDocumentFragment(children) {
+  return new DocumentFragment(children);
+}
+/**
+ * This node represents a general purpose MathML node of any type. The
+ * constructor requires the type of node to create (for example, `"mo"` or
+ * `"mspace"`, corresponding to `<mo>` and `<mspace>` tags).
+ */
+
+class MathNode {
+  constructor(type, children) {
+    this.type = void 0;
+    this.attributes = void 0;
+    this.children = void 0;
+    this.type = type;
+    this.attributes = {};
+    this.children = children || [];
+  }
+  /**
+   * Sets an attribute on a MathML node. MathML depends on attributes to convey a
+   * semantic content, so this is used heavily.
+   */
+
+
+  setAttribute(name, value) {
+    this.attributes[name] = value;
+  }
+  /**
+   * Gets an attribute on a MathML node.
+   */
+
+
+  getAttribute(name) {
+    return this.attributes[name];
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+
+
+  toNode() {
+    const node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (let i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+
+
+  toMarkup() {
+    let markup = "<" + this.type; // Add the attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "=\"";
+        markup += utils.escape(this.attributes[attr]);
+        markup += "\"";
+      }
+    }
+
+    markup += ">";
+
+    for (let i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</" + this.type + ">";
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText, but escaped.
+   */
+
+
+  toText() {
+    return this.children.map(child => child.toText()).join("");
+  }
+
+}
+/**
+ * This node represents a piece of text.
+ */
+
+class TextNode {
+  constructor(text) {
+    this.text = void 0;
+    this.text = text;
+  }
+  /**
+   * Converts the text node into a DOM text node.
+   */
+
+
+  toNode() {
+    return document.createTextNode(this.text);
+  }
+  /**
+   * Converts the text node into escaped HTML markup
+   * (representing the text itself).
+   */
+
+
+  toMarkup() {
+    return utils.escape(this.toText());
+  }
+  /**
+   * Converts the text node into a string
+   * (representing the text iteself).
+   */
+
+
+  toText() {
+    return this.text;
+  }
+
+}
+/**
+ * This node represents a space, but may render as <mspace.../> or as text,
+ * depending on the width.
+ */
+
+class SpaceNode {
+  /**
+   * Create a Space node with width given in CSS ems.
+   */
+  constructor(width) {
+    this.width = void 0;
+    this.character = void 0;
+    this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html
+    // for a table of space-like characters.  We use Unicode
+    // representations instead of &LongNames; as it's not clear how to
+    // make the latter via document.createTextNode.
+
+    if (width >= 0.05555 && width <= 0.05556) {
+      this.character = "\u200a"; // &VeryThinSpace;
+    } else if (width >= 0.1666 && width <= 0.1667) {
+      this.character = "\u2009"; // &ThinSpace;
+    } else if (width >= 0.2222 && width <= 0.2223) {
+      this.character = "\u2005"; // &MediumSpace;
+    } else if (width >= 0.2777 && width <= 0.2778) {
+      this.character = "\u2005\u200a"; // &ThickSpace;
+    } else if (width >= -0.05556 && width <= -0.05555) {
+      this.character = "\u200a\u2063"; // &NegativeVeryThinSpace;
+    } else if (width >= -0.1667 && width <= -0.1666) {
+      this.character = "\u2009\u2063"; // &NegativeThinSpace;
+    } else if (width >= -0.2223 && width <= -0.2222) {
+      this.character = "\u205f\u2063"; // &NegativeMediumSpace;
+    } else if (width >= -0.2778 && width <= -0.2777) {
+      this.character = "\u2005\u2063"; // &NegativeThickSpace;
+    } else {
+      this.character = null;
+    }
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+
+
+  toNode() {
+    if (this.character) {
+      return document.createTextNode(this.character);
+    } else {
+      const node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
+      node.setAttribute("width", this.width + "em");
+      return node;
+    }
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+
+
+  toMarkup() {
+    if (this.character) {
+      return `<mtext>${this.character}</mtext>`;
+    } else {
+      return `<mspace width="${this.width}em"/>`;
+    }
+  }
+  /**
+   * Converts the math node into a string, similar to innerText.
+   */
+
+
+  toText() {
+    if (this.character) {
+      return this.character;
+    } else {
+      return " ";
+    }
+  }
+
+}
+
+var mathMLTree = {
+  MathNode,
+  TextNode,
+  SpaceNode,
+  newDocumentFragment
+};
+
+/**
+ * This file converts a parse tree into a cooresponding MathML tree. The main
+ * entry point is the `buildMathML` function, which takes a parse tree from the
+ * parser.
+ */
+
+/**
+ * Takes a symbol and converts it into a MathML text node after performing
+ * optional replacement from symbols.js.
+ */
+const makeText = function makeText(text, mode, options) {
+  if (symbols[mode][text] && symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.substr(4, 2) === "tt" || options.font && options.font.substr(4, 2) === "tt"))) {
+    text = symbols[mode][text].replace;
+  }
+
+  return new mathMLTree.TextNode(text);
+};
+/**
+ * Wrap the given array of nodes in an <mrow> node if needed, i.e.,
+ * unless the array has length 1.  Always returns a single node.
+ */
+
+const makeRow = function makeRow(body) {
+  if (body.length === 1) {
+    return body[0];
+  } else {
+    return new mathMLTree.MathNode("mrow", body);
+  }
+};
+/**
+ * Returns the math variant as a string or null if none is required.
+ */
+
+const getVariant = function getVariant(group, options) {
+  // Handle \text... font specifiers as best we can.
+  // MathML has a limited list of allowable mathvariant specifiers; see
+  // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt
+  if (options.fontFamily === "texttt") {
+    return "monospace";
+  } else if (options.fontFamily === "textsf") {
+    if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+      return "sans-serif-bold-italic";
+    } else if (options.fontShape === "textit") {
+      return "sans-serif-italic";
+    } else if (options.fontWeight === "textbf") {
+      return "bold-sans-serif";
+    } else {
+      return "sans-serif";
+    }
+  } else if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+    return "bold-italic";
+  } else if (options.fontShape === "textit") {
+    return "italic";
+  } else if (options.fontWeight === "textbf") {
+    return "bold";
+  }
+
+  const font = options.font;
+
+  if (!font || font === "mathnormal") {
+    return null;
+  }
+
+  const mode = group.mode;
+
+  if (font === "mathit") {
+    return "italic";
+  } else if (font === "boldsymbol") {
+    return "bold-italic";
+  } else if (font === "mathbf") {
+    return "bold";
+  } else if (font === "mathbb") {
+    return "double-struck";
+  } else if (font === "mathfrak") {
+    return "fraktur";
+  } else if (font === "mathscr" || font === "mathcal") {
+    // MathML makes no distinction between script and caligrahpic
+    return "script";
+  } else if (font === "mathsf") {
+    return "sans-serif";
+  } else if (font === "mathtt") {
+    return "monospace";
+  }
+
+  let text = group.text;
+
+  if (utils.contains(["\\imath", "\\jmath"], text)) {
+    return null;
+  }
+
+  if (symbols[mode][text] && symbols[mode][text].replace) {
+    text = symbols[mode][text].replace;
+  }
+
+  const fontName = buildCommon.fontMap[font].fontName;
+
+  if (getCharacterMetrics(text, fontName, mode)) {
+    return buildCommon.fontMap[font].variant;
+  }
+
+  return null;
+};
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes.  Also combine consecutive <mtext> outputs into a single
+ * <mtext> tag.
+ */
+
+const buildExpression$1 = function buildExpression(expression, options, isOrdgroup) {
+  if (expression.length === 1) {
+    const group = buildGroup$1(expression[0], options);
+
+    if (isOrdgroup && group instanceof MathNode && group.type === "mo") {
+      // When TeX writers want to suppress spacing on an operator,
+      // they often put the operator by itself inside braces.
+      group.setAttribute("lspace", "0em");
+      group.setAttribute("rspace", "0em");
+    }
+
+    return [group];
+  }
+
+  const groups = [];
+  let lastGroup;
+
+  for (let i = 0; i < expression.length; i++) {
+    const group = buildGroup$1(expression[i], options);
+
+    if (group instanceof MathNode && lastGroup instanceof MathNode) {
+      // Concatenate adjacent <mtext>s
+      if (group.type === 'mtext' && lastGroup.type === 'mtext' && group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) {
+        lastGroup.children.push(...group.children);
+        continue; // Concatenate adjacent <mn>s
+      } else if (group.type === 'mn' && lastGroup.type === 'mn') {
+        lastGroup.children.push(...group.children);
+        continue; // Concatenate <mn>...</mn> followed by <mi>.</mi>
+      } else if (group.type === 'mi' && group.children.length === 1 && lastGroup.type === 'mn') {
+        const child = group.children[0];
+
+        if (child instanceof TextNode && child.text === '.') {
+          lastGroup.children.push(...group.children);
+          continue;
+        }
+      } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) {
+        const lastChild = lastGroup.children[0];
+
+        if (lastChild instanceof TextNode && lastChild.text === '\u0338' && (group.type === 'mo' || group.type === 'mi' || group.type === 'mn')) {
+          const child = group.children[0];
+
+          if (child instanceof TextNode && child.text.length > 0) {
+            // Overlay with combining character long solidus
+            child.text = child.text.slice(0, 1) + "\u0338" + child.text.slice(1);
+            groups.pop();
+          }
+        }
+      }
+    }
+
+    groups.push(group);
+    lastGroup = group;
+  }
+
+  return groups;
+};
+/**
+ * Equivalent to buildExpression, but wraps the elements in an <mrow>
+ * if there's more than one.  Returns a single node instead of an array.
+ */
+
+const buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
+  return makeRow(buildExpression$1(expression, options, isOrdgroup));
+};
+/**
+ * Takes a group from the parser and calls the appropriate groupBuilders function
+ * on it to produce a MathML node.
+ */
+
+const buildGroup$1 = function buildGroup(group, options) {
+  if (!group) {
+    return new mathMLTree.MathNode("mrow");
+  }
+
+  if (_mathmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    const result = _mathmlGroupBuilders[group.type](group, options);
+    return result;
+  } else {
+    throw new ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Takes a full parse tree and settings and builds a MathML representation of
+ * it. In particular, we put the elements from building the parse tree into a
+ * <semantics> tag so we can also include that TeX source as an annotation.
+ *
+ * Note that we actually return a domTree element with a `<math>` inside it so
+ * we can do appropriate styling.
+ */
+
+function buildMathML(tree, texExpression, options, forMathmlOnly) {
+  const expression = buildExpression$1(tree, options); // Wrap up the expression in an mrow so it is presented in the semantics
+  // tag correctly, unless it's a single <mrow> or <mtable>.
+
+  let wrapper;
+
+  if (expression.length === 1 && expression[0] instanceof MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) {
+    wrapper = expression[0];
+  } else {
+    wrapper = new mathMLTree.MathNode("mrow", expression);
+  } // Build a TeX annotation of the source
+
+
+  const annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]);
+  annotation.setAttribute("encoding", "application/x-tex");
+  const semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]);
+  const math = new mathMLTree.MathNode("math", [semantics]);
+  math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML"); // You can't style <math> nodes, so we wrap the node in a span.
+  // NOTE: The span class is not typed to have <math> nodes as children, and
+  // we don't want to make the children type more generic since the children
+  // of span are expected to have more fields in `buildHtml` contexts.
+
+  const wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe
+
+  return buildCommon.makeSpan([wrapperClass], [math]);
+}
+
+const optionsFromSettings = function optionsFromSettings(settings) {
+  return new Options({
+    style: settings.displayMode ? Style$1.DISPLAY : Style$1.TEXT,
+    maxSize: settings.maxSize,
+    minRuleThickness: settings.minRuleThickness
+  });
+};
+
+const displayWrap = function displayWrap(node, settings) {
+  if (settings.displayMode) {
+    const classes = ["katex-display"];
+
+    if (settings.leqno) {
+      classes.push("leqno");
+    }
+
+    if (settings.fleqn) {
+      classes.push("fleqn");
+    }
+
+    node = buildCommon.makeSpan(classes, [node]);
+  }
+
+  return node;
+};
+
+const buildTree = function buildTree(tree, expression, settings) {
+  const options = optionsFromSettings(settings);
+  let katexNode;
+
+  if (settings.output === "mathml") {
+    return buildMathML(tree, expression, options, true);
+  } else if (settings.output === "html") {
+    const htmlNode = buildHTML(tree, options);
+    katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  } else {
+    const mathMLNode = buildMathML(tree, expression, options, false);
+    const htmlNode = buildHTML(tree, options);
+    katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, htmlNode]);
+  }
+
+  return displayWrap(katexNode, settings);
+};
+const buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
+  const options = optionsFromSettings(settings);
+  const htmlNode = buildHTML(tree, options);
+  const katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  return displayWrap(katexNode, settings);
+};
+
+/**
+ * This file provides support to buildMathML.js and buildHTML.js
+ * for stretchy wide elements rendered from SVG files
+ * and other CSS trickery.
+ */
+const stretchyCodePoint = {
+  widehat: "^",
+  widecheck: "ˇ",
+  widetilde: "~",
+  utilde: "~",
+  overleftarrow: "\u2190",
+  underleftarrow: "\u2190",
+  xleftarrow: "\u2190",
+  overrightarrow: "\u2192",
+  underrightarrow: "\u2192",
+  xrightarrow: "\u2192",
+  underbrace: "\u23df",
+  overbrace: "\u23de",
+  overgroup: "\u23e0",
+  undergroup: "\u23e1",
+  overleftrightarrow: "\u2194",
+  underleftrightarrow: "\u2194",
+  xleftrightarrow: "\u2194",
+  Overrightarrow: "\u21d2",
+  xRightarrow: "\u21d2",
+  overleftharpoon: "\u21bc",
+  xleftharpoonup: "\u21bc",
+  overrightharpoon: "\u21c0",
+  xrightharpoonup: "\u21c0",
+  xLeftarrow: "\u21d0",
+  xLeftrightarrow: "\u21d4",
+  xhookleftarrow: "\u21a9",
+  xhookrightarrow: "\u21aa",
+  xmapsto: "\u21a6",
+  xrightharpoondown: "\u21c1",
+  xleftharpoondown: "\u21bd",
+  xrightleftharpoons: "\u21cc",
+  xleftrightharpoons: "\u21cb",
+  xtwoheadleftarrow: "\u219e",
+  xtwoheadrightarrow: "\u21a0",
+  xlongequal: "=",
+  xtofrom: "\u21c4",
+  xrightleftarrows: "\u21c4",
+  xrightequilibrium: "\u21cc",
+  // Not a perfect match.
+  xleftequilibrium: "\u21cb" // None better available.
+
+};
+
+const mathMLnode = function mathMLnode(label) {
+  const node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.substr(1)])]);
+  node.setAttribute("stretchy", "true");
+  return node;
+}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts.
+// Copyright (c) 2009-2010, Design Science, Inc. (<www.mathjax.org>)
+// Copyright (c) 2014-2017 Khan Academy (<www.khanacademy.org>)
+// Licensed under the SIL Open Font License, Version 1.1.
+// See \nhttp://scripts.sil.org/OFL
+// Very Long SVGs
+//    Many of the KaTeX stretchy wide elements use a long SVG image and an
+//    overflow: hidden tactic to achieve a stretchy image while avoiding
+//    distortion of arrowheads or brace corners.
+//    The SVG typically contains a very long (400 em) arrow.
+//    The SVG is in a container span that has overflow: hidden, so the span
+//    acts like a window that exposes only part of the  SVG.
+//    The SVG always has a longer, thinner aspect ratio than the container span.
+//    After the SVG fills 100% of the height of the container span,
+//    there is a long arrow shaft left over. That left-over shaft is not shown.
+//    Instead, it is sliced off because the span's CSS has overflow: hidden.
+//    Thus, the reader sees an arrow that matches the subject matter width
+//    without distortion.
+//    Some functions, such as \cancel, need to vary their aspect ratio. These
+//    functions do not get the overflow SVG treatment.
+// Second Brush Stroke
+//    Low resolution monitors struggle to display images in fine detail.
+//    So browsers apply anti-aliasing. A long straight arrow shaft therefore
+//    will sometimes appear as if it has a blurred edge.
+//    To mitigate this, these SVG files contain a second "brush-stroke" on the
+//    arrow shafts. That is, a second long thin rectangular SVG path has been
+//    written directly on top of each arrow shaft. This reinforcement causes
+//    some of the screen pixels to display as black instead of the anti-aliased
+//    gray pixel that a  single path would generate. So we get arrow shafts
+//    whose edges appear to be sharper.
+// In the katexImagesData object just below, the dimensions all
+// correspond to path geometry inside the relevant SVG.
+// For example, \overrightarrow uses the same arrowhead as glyph U+2192
+// from the KaTeX Main font. The scaling factor is 1000.
+// That is, inside the font, that arrowhead is 522 units tall, which
+// corresponds to 0.522 em inside the document.
+
+
+const katexImagesData = {
+  //   path(s), minWidth, height, align
+  overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"],
+  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
+  Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"],
+  xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"],
+  xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"],
+  overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"],
+  overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"],
+  xlongequal: [["longequal"], 0.888, 334, "xMinYMin"],
+  xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"],
+  xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"],
+  overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548],
+  underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548],
+  underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522],
+  xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560],
+  xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716],
+  xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716],
+  xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522],
+  xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522],
+  overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  overgroup: [["leftgroup", "rightgroup"], 0.888, 342],
+  undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342],
+  xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522],
+  xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528],
+  // The next three arrows are from the mhchem package.
+  // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the
+  // document as \xrightarrow or \xrightleftharpoons. Those have
+  // min-length = 1.75em, so we set min-length on these next three to match.
+  xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
+  xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
+  xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716]
+};
+
+const groupLength = function groupLength(arg) {
+  if (arg.type === "ordgroup") {
+    return arg.body.length;
+  } else {
+    return 1;
+  }
+};
+
+const svgSpan = function svgSpan(group, options) {
+  // Create a span with inline SVG for the element.
+  function buildSvgSpan_() {
+    let viewBoxWidth = 400000; // default
+
+    const label = group.label.substr(1);
+
+    if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) {
+      // Each type in the `if` statement corresponds to one of the ParseNode
+      // types below. This narrowing is required to access `grp.base`.
+      const grp = group; // There are four SVG images available for each function.
+      // Choose a taller image when there are more characters.
+
+      const numChars = groupLength(grp.base);
+      let viewBoxHeight;
+      let pathName;
+      let height;
+
+      if (numChars > 5) {
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxHeight = 420;
+          viewBoxWidth = 2364;
+          height = 0.42;
+          pathName = label + "4";
+        } else {
+          viewBoxHeight = 312;
+          viewBoxWidth = 2340;
+          height = 0.34;
+          pathName = "tilde4";
+        }
+      } else {
+        const imgIndex = [1, 1, 2, 2, 3, 3][numChars];
+
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex];
+          viewBoxHeight = [0, 239, 300, 360, 420][imgIndex];
+          height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex];
+          pathName = label + imgIndex;
+        } else {
+          viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex];
+          viewBoxHeight = [0, 260, 286, 306, 312][imgIndex];
+          height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex];
+          pathName = "tilde" + imgIndex;
+        }
+      }
+
+      const path = new PathNode(pathName);
+      const svgNode = new SvgNode([path], {
+        "width": "100%",
+        "height": height + "em",
+        "viewBox": `0 0 ${viewBoxWidth} ${viewBoxHeight}`,
+        "preserveAspectRatio": "none"
+      });
+      return {
+        span: buildCommon.makeSvgSpan([], [svgNode], options),
+        minWidth: 0,
+        height
+      };
+    } else {
+      const spans = [];
+      const data = katexImagesData[label];
+      const paths = data[0],
+            minWidth = data[1],
+            viewBoxHeight = data[2];
+      const height = viewBoxHeight / 1000;
+      const numSvgChildren = paths.length;
+      let widthClasses;
+      let aligns;
+
+      if (numSvgChildren === 1) {
+        // $FlowFixMe: All these cases must be of the 4-tuple type.
+        const align1 = data[3];
+        widthClasses = ["hide-tail"];
+        aligns = [align1];
+      } else if (numSvgChildren === 2) {
+        widthClasses = ["halfarrow-left", "halfarrow-right"];
+        aligns = ["xMinYMin", "xMaxYMin"];
+      } else if (numSvgChildren === 3) {
+        widthClasses = ["brace-left", "brace-center", "brace-right"];
+        aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"];
+      } else {
+        throw new Error(`Correct katexImagesData or update code here to support
+                    ${numSvgChildren} children.`);
+      }
+
+      for (let i = 0; i < numSvgChildren; i++) {
+        const path = new PathNode(paths[i]);
+        const svgNode = new SvgNode([path], {
+          "width": "400em",
+          "height": height + "em",
+          "viewBox": `0 0 ${viewBoxWidth} ${viewBoxHeight}`,
+          "preserveAspectRatio": aligns[i] + " slice"
+        });
+        const span = buildCommon.makeSvgSpan([widthClasses[i]], [svgNode], options);
+
+        if (numSvgChildren === 1) {
+          return {
+            span,
+            minWidth,
+            height
+          };
+        } else {
+          span.style.height = height + "em";
+          spans.push(span);
+        }
+      }
+
+      return {
+        span: buildCommon.makeSpan(["stretchy"], spans, options),
+        minWidth,
+        height
+      };
+    }
+  } // buildSvgSpan_()
+
+
+  const _buildSvgSpan_ = buildSvgSpan_(),
+        span = _buildSvgSpan_.span,
+        minWidth = _buildSvgSpan_.minWidth,
+        height = _buildSvgSpan_.height; // Note that we are returning span.depth = 0.
+  // Any adjustments relative to the baseline must be done in buildHTML.
+
+
+  span.height = height;
+  span.style.height = height + "em";
+
+  if (minWidth > 0) {
+    span.style.minWidth = minWidth + "em";
+  }
+
+  return span;
+};
+
+const encloseSpan = function encloseSpan(inner, label, pad, options) {
+  // Return an image span for \cancel, \bcancel, \xcancel, or \fbox
+  let img;
+  const totalHeight = inner.height + inner.depth + 2 * pad;
+
+  if (/fbox|color/.test(label)) {
+    img = buildCommon.makeSpan(["stretchy", label], [], options);
+
+    if (label === "fbox") {
+      const color = options.color && options.getColor();
+
+      if (color) {
+        img.style.borderColor = color;
+      }
+    }
+  } else {
+    // \cancel, \bcancel, or \xcancel
+    // Since \cancel's SVG is inline and it omits the viewBox attribute,
+    // its stroke-width will not vary with span area.
+    const lines = [];
+
+    if (/^[bx]cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "0",
+        "x2": "100%",
+        "y2": "100%",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    if (/^x?cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "100%",
+        "x2": "100%",
+        "y2": "0",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    const svgNode = new SvgNode(lines, {
+      "width": "100%",
+      "height": totalHeight + "em"
+    });
+    img = buildCommon.makeSvgSpan([], [svgNode], options);
+  }
+
+  img.height = totalHeight;
+  img.style.height = totalHeight + "em";
+  return img;
+};
+
+var stretchy = {
+  encloseSpan,
+  mathMLnode,
+  svgSpan
+};
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but
+const htmlBuilder = (grp, options) => {
+  // Accents are handled in the TeXbook pg. 443, rule 12.
+  let base;
+  let group;
+  const supSub = checkNodeType(grp, "supsub");
+  let supSubGroup;
+
+  if (supSub) {
+    // If our base is a character box, and we have superscripts and
+    // subscripts, the supsub will defer to us. In particular, we want
+    // to attach the superscripts and subscripts to the inner body (so
+    // that the position of the superscripts and subscripts won't be
+    // affected by the height of the accent). We accomplish this by
+    // sticking the base of the accent into the base of the supsub, and
+    // rendering that, while keeping track of where the accent is.
+    // The real accent group is the base of the supsub group
+    group = assertNodeType(supSub.base, "accent"); // The character box is the base of the accent group
+
+    base = group.base; // Stick the character box into the base of the supsub group
+
+    supSub.base = base; // Rerender the supsub group with its new base, and store that
+    // result.
+
+    supSubGroup = assertSpan(buildGroup(supSub, options)); // reset original base
+
+    supSub.base = group;
+  } else {
+    group = assertNodeType(grp, "accent");
+    base = group.base;
+  } // Build the base group
+
+
+  const body = buildGroup(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character?
+
+  const mustShift = group.isShifty && utils.isCharacterBox(base); // Calculate the skew of the accent. This is based on the line "If the
+  // nucleus is not a single character, let s = 0; otherwise set s to the
+  // kern amount for the nucleus followed by the \skewchar of its font."
+  // Note that our skew metrics are just the kern between each character
+  // and the skewchar.
+
+  let skew = 0;
+
+  if (mustShift) {
+    // If the base is a character box, then we want the skew of the
+    // innermost character. To do that, we find the innermost character:
+    const baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it
+
+    const baseGroup = buildGroup(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol.
+
+    skew = assertSymbolDomNode(baseGroup).skew; // Note that we now throw away baseGroup, because the layers we
+    // removed with getBaseElem might contain things like \color which
+    // we can't get rid of.
+    // TODO(emily): Find a better way to get the skew
+  } // calculate the amount of space between the body and the accent
+
+
+  let clearance = Math.min(body.height, options.fontMetrics().xHeight); // Build the accent
+
+  let accentBody;
+
+  if (!group.isStretchy) {
+    let accent;
+    let width;
+
+    if (group.label === "\\vec") {
+      // Before version 0.9, \vec used the combining font glyph U+20D7.
+      // But browsers, especially Safari, are not consistent in how they
+      // render combining characters when not preceded by a character.
+      // So now we use an SVG.
+      // If Safari reforms, we should consider reverting to the glyph.
+      accent = buildCommon.staticSvg("vec", options);
+      width = buildCommon.svgData.vec[1];
+    } else {
+      accent = buildCommon.makeOrd({
+        mode: group.mode,
+        text: group.label
+      }, options, "textord");
+      accent = assertSymbolDomNode(accent); // Remove the italic correction of the accent, because it only serves to
+      // shift the accent over to a place we don't want.
+
+      accent.italic = 0;
+      width = accent.width;
+    }
+
+    accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be
+    // at least the width of the accent, and overlap directly onto the
+    // character without any vertical offset.
+
+    const accentFull = group.label === "\\textcircled";
+
+    if (accentFull) {
+      accentBody.classes.push('accent-full');
+      clearance = body.height;
+    } // Shift the accent over by the skew.
+
+
+    let left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }`
+    // so that the accent doesn't contribute to the bounding box.
+    // We need to shift the character by its width (effectively half
+    // its width) to compensate.
+
+    if (!accentFull) {
+      left -= width / 2;
+    }
+
+    accentBody.style.left = left + "em"; // \textcircled uses the \bigcirc glyph, so it needs some
+    // vertical adjustment to match LaTeX.
+
+    if (group.label === "\\textcircled") {
+      accentBody.style.top = ".2em";
+    }
+
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: -clearance
+      }, {
+        type: "elem",
+        elem: accentBody
+      }]
+    }, options);
+  } else {
+    accentBody = stretchy.svgSpan(group, options);
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"],
+        wrapperStyle: skew > 0 ? {
+          width: `calc(100% - ${2 * skew}em)`,
+          marginLeft: `${2 * skew}em`
+        } : undefined
+      }]
+    }, options);
+  }
+
+  const accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options);
+
+  if (supSubGroup) {
+    // Here, we replace the "base" child of the supsub with our newly
+    // generated accent.
+    supSubGroup.children[0] = accentWrap; // Since we don't rerun the height calculation after replacing the
+    // accent, we manually recalculate height.
+
+    supSubGroup.height = Math.max(accentWrap.height, supSubGroup.height); // Accents should always be ords, even when their innards are not.
+
+    supSubGroup.classes[0] = "mord";
+    return supSubGroup;
+  } else {
+    return accentWrap;
+  }
+};
+
+const mathmlBuilder = (group, options) => {
+  const accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [makeText(group.label, group.mode)]);
+  const node = new mathMLTree.MathNode("mover", [buildGroup$1(group.base, options), accentNode]);
+  node.setAttribute("accent", "true");
+  return node;
+};
+
+const NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(accent => `\\${accent}`).join("|")); // Accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const base = args[0];
+    const isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName);
+    const isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck";
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: isStretchy,
+      isShifty: isShifty,
+      base: base
+    };
+  },
+  htmlBuilder,
+  mathmlBuilder
+}); // Text-mode accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\r", "\\H", "\\v", "\\textcircled"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: (context, args) => {
+    const base = args[0];
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: false,
+      isShifty: true,
+      base: base
+    };
+  },
+  htmlBuilder,
+  mathmlBuilder
+});
+
+// Horizontal overlap functions
+defineFunction({
+  type: "accentUnder",
+  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
+  props: {
+    numArgs: 1
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const base = args[0];
+    return {
+      type: "accentUnder",
+      mode: parser.mode,
+      label: funcName,
+      base: base
+    };
+  },
+  htmlBuilder: (group, options) => {
+    // Treat under accents much like underlines.
+    const innerGroup = buildGroup(group.base, options);
+    const accentBody = stretchy.svgSpan(group, options);
+    const kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns
+
+    const vlist = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: accentBody.height + kern,
+      children: [{
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: kern
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const accentNode = stretchy.mathMLnode(group.label);
+    const node = new mathMLTree.MathNode("munder", [buildGroup$1(group.base, options), accentNode]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+});
+
+// Helper function
+const paddedNode = group => {
+  const node = new mathMLTree.MathNode("mpadded", group ? [group] : []);
+  node.setAttribute("width", "+0.6em");
+  node.setAttribute("lspace", "0.3em");
+  return node;
+}; // Stretchy arrows with an optional argument
+
+
+defineFunction({
+  type: "xArrow",
+  names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension.
+  // Direct use of these functions is discouraged and may break someday.
+  "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "xArrow",
+      mode: parser.mode,
+      label: funcName,
+      body: args[0],
+      below: optArgs[0]
+    };
+  },
+
+  // Flow is unable to correctly infer the type of `group`, even though it's
+  // unamibiguously determined from the passed-in `type` above.
+  htmlBuilder(group, options) {
+    const style = options.style; // Build the argument groups in the appropriate style.
+    // Ref: amsmath.dtx:   \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}%
+    // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+    let newOptions = options.havingStyle(style.sup());
+    const upperGroup = buildCommon.wrapFragment(buildGroup(group.body, newOptions, options), options);
+    upperGroup.classes.push("x-arrow-pad");
+    let lowerGroup;
+
+    if (group.below) {
+      // Build the lower group
+      newOptions = options.havingStyle(style.sub());
+      lowerGroup = buildCommon.wrapFragment(buildGroup(group.below, newOptions, options), options);
+      lowerGroup.classes.push("x-arrow-pad");
+    }
+
+    const arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0.
+    // The point we want on the math axis is at 0.5 * arrowBody.height.
+
+    const arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi
+
+    let upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu
+
+    if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") {
+      upperShift -= upperGroup.depth; // shift up if depth encroaches
+    } // Generate the vlist
+
+
+    let vlist;
+
+    if (lowerGroup) {
+      const lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111;
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }, {
+          type: "elem",
+          elem: lowerGroup,
+          shift: lowerShift
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }]
+      }, options);
+    } // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+    return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options);
+  },
+
+  mathmlBuilder(group, options) {
+    const arrowNode = stretchy.mathMLnode(group.label);
+    let node;
+
+    if (group.body) {
+      const upperNode = paddedNode(buildGroup$1(group.body, options));
+
+      if (group.below) {
+        const lowerNode = paddedNode(buildGroup$1(group.below, options));
+        node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]);
+      } else {
+        node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]);
+      }
+    } else if (group.below) {
+      const lowerNode = paddedNode(buildGroup$1(group.below, options));
+      node = new mathMLTree.MathNode("munder", [arrowNode, lowerNode]);
+    } else {
+      // This should never happen.
+      // Parser.js throws an error if there is no argument.
+      node = paddedNode();
+      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
+    }
+
+    return node;
+  }
+
+});
+
+// {123} and converts into symbol with code 123.  It is used by the *macro*
+// \char defined in macros.js.
+
+defineFunction({
+  type: "textord",
+  names: ["\\@char"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const arg = assertNodeType(args[0], "ordgroup");
+    const group = arg.body;
+    let number = "";
+
+    for (let i = 0; i < group.length; i++) {
+      const node = assertNodeType(group[i], "textord");
+      number += node.text;
+    }
+
+    const code = parseInt(number);
+
+    if (isNaN(code)) {
+      throw new ParseError(`\\@char has non-numeric argument ${number}`);
+    }
+
+    return {
+      type: "textord",
+      mode: parser.mode,
+      text: String.fromCharCode(code)
+    };
+  }
+
+});
+
+const htmlBuilder$1 = (group, options) => {
+  const elements = buildExpression(group.body, options.withColor(group.color), false); // \color isn't supposed to affect the type of the elements it contains.
+  // To accomplish this, we wrap the results in a fragment, so the inner
+  // elements will be able to directly interact with their neighbors. For
+  // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3`
+
+  return buildCommon.makeFragment(elements);
+};
+
+const mathmlBuilder$1 = (group, options) => {
+  const inner = buildExpression$1(group.body, options.withColor(group.color));
+  const node = new mathMLTree.MathNode("mstyle", inner);
+  node.setAttribute("mathcolor", group.color);
+  return node;
+};
+
+defineFunction({
+  type: "color",
+  names: ["\\textcolor"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "original"]
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const color = assertNodeType(args[0], "color-token").color;
+    const body = args[1];
+    return {
+      type: "color",
+      mode: parser.mode,
+      color,
+      body: ordargument(body)
+    };
+  },
+
+  htmlBuilder: htmlBuilder$1,
+  mathmlBuilder: mathmlBuilder$1
+});
+defineFunction({
+  type: "color",
+  names: ["\\color"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color"]
+  },
+
+  handler(_ref2, args) {
+    let parser = _ref2.parser,
+        breakOnTokenText = _ref2.breakOnTokenText;
+    const color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current
+    // color, mimicking the behavior of color.sty.
+    // This is currently used just to correctly color a \right
+    // that follows a \color command.
+
+    parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored.
+
+    const body = parser.parseExpression(true, breakOnTokenText);
+    return {
+      type: "color",
+      mode: parser.mode,
+      color,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$1,
+  mathmlBuilder: mathmlBuilder$1
+});
+
+// Row breaks within tabular environments, and line breaks at top level
+// same signature, we implement them as one megafunction, with newRow
+// indicating whether we're in the \cr case, and newLine indicating whether
+// to break the line in the \newline case.
+
+defineFunction({
+  type: "cr",
+  names: ["\\cr", "\\newline"],
+  props: {
+    numArgs: 0,
+    numOptionalArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const size = optArgs[0];
+    const newRow = funcName === "\\cr";
+    let newLine = false;
+
+    if (!newRow) {
+      if (parser.settings.displayMode && parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode")) {
+        newLine = false;
+      } else {
+        newLine = true;
+      }
+    }
+
+    return {
+      type: "cr",
+      mode: parser.mode,
+      newLine,
+      newRow,
+      size: size && assertNodeType(size, "size").value
+    };
+  },
+
+  // The following builders are called only at the top level,
+  // not within tabular/array environments.
+  htmlBuilder(group, options) {
+    if (group.newRow) {
+      throw new ParseError("\\cr valid only within a tabular/array environment");
+    }
+
+    const span = buildCommon.makeSpan(["mspace"], [], options);
+
+    if (group.newLine) {
+      span.classes.push("newline");
+
+      if (group.size) {
+        span.style.marginTop = calculateSize(group.size, options) + "em";
+      }
+    }
+
+    return span;
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mspace");
+
+    if (group.newLine) {
+      node.setAttribute("linebreak", "newline");
+
+      if (group.size) {
+        node.setAttribute("height", calculateSize(group.size, options) + "em");
+      }
+    }
+
+    return node;
+  }
+
+});
+
+/**
+ * This file deals with creating delimiters of various sizes. The TeXbook
+ * discusses these routines on page 441-442, in the "Another subroutine sets box
+ * x to a specified variable delimiter" paragraph.
+ *
+ * There are three main routines here. `makeSmallDelim` makes a delimiter in the
+ * normal font, but in either text, script, or scriptscript style.
+ * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,
+ * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of
+ * smaller pieces that are stacked on top of one another.
+ *
+ * The functions take a parameter `center`, which determines if the delimiter
+ * should be centered around the axis.
+ *
+ * Then, there are three exposed functions. `sizedDelim` makes a delimiter in
+ * one of the given sizes. This is used for things like `\bigl`.
+ * `customSizedDelim` makes a delimiter with a given total height+depth. It is
+ * called in places like `\sqrt`. `leftRightDelim` makes an appropriate
+ * delimiter which surrounds an expression of a given height an depth. It is
+ * used in `\left` and `\right`.
+ */
+
+/**
+ * Get the metrics for a given symbol and font, after transformation (i.e.
+ * after following replacement from symbols.js)
+ */
+const getMetrics = function getMetrics(symbol, font, mode) {
+  const replace = symbols.math[symbol] && symbols.math[symbol].replace;
+  const metrics = getCharacterMetrics(replace || symbol, font, mode);
+
+  if (!metrics) {
+    throw new Error(`Unsupported symbol ${symbol} and font size ${font}.`);
+  }
+
+  return metrics;
+};
+/**
+ * Puts a delimiter span in a given style, and adds appropriate height, depth,
+ * and maxFontSizes.
+ */
+
+
+const styleWrap = function styleWrap(delim, toStyle, options, classes) {
+  const newOptions = options.havingBaseStyle(toStyle);
+  const span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options);
+  const delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier;
+  span.height *= delimSizeMultiplier;
+  span.depth *= delimSizeMultiplier;
+  span.maxFontSize = newOptions.sizeMultiplier;
+  return span;
+};
+
+const centerSpan = function centerSpan(span, options, style) {
+  const newOptions = options.havingBaseStyle(style);
+  const shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight;
+  span.classes.push("delimcenter");
+  span.style.top = shift + "em";
+  span.height -= shift;
+  span.depth += shift;
+};
+/**
+ * Makes a small delimiter. This is a delimiter that comes in the Main-Regular
+ * font, but is restyled to either be in textstyle, scriptstyle, or
+ * scriptscriptstyle.
+ */
+
+
+const makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
+  const text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
+  const span = styleWrap(text, style, options, classes);
+
+  if (center) {
+    centerSpan(span, options, style);
+  }
+
+  return span;
+};
+/**
+ * Builds a symbol in the given font size (note size is an integer)
+ */
+
+
+const mathrmSize = function mathrmSize(value, size, mode, options) {
+  return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options);
+};
+/**
+ * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,
+ * Size3, or Size4 fonts. It is always rendered in textstyle.
+ */
+
+
+const makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
+  const inner = mathrmSize(delim, size, mode, options);
+  const span = styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), Style$1.TEXT, options, classes);
+
+  if (center) {
+    centerSpan(span, options, Style$1.TEXT);
+  }
+
+  return span;
+};
+/**
+ * Make an inner span with the given offset and in the given font. This is used
+ * in `makeStackedDelim` to make the stacking pieces for the delimiter.
+ */
+
+
+const makeInner = function makeInner(symbol, font, mode) {
+  let sizeClass; // Apply the correct CSS class to choose the right font.
+
+  if (font === "Size1-Regular") {
+    sizeClass = "delim-size1";
+  } else
+    /* if (font === "Size4-Regular") */
+    {
+      sizeClass = "delim-size4";
+    }
+
+  const inner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); // Since this will be passed into `makeVList` in the end, wrap the element
+  // in the appropriate tag that VList uses.
+
+  return {
+    type: "elem",
+    elem: inner
+  };
+}; // Helper for makeStackedDelim
+
+
+const lap = {
+  type: "kern",
+  size: -0.005
+};
+/**
+ * Make a stacked delimiter out of a given delimiter, with the total height at
+ * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.
+ */
+
+const makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) {
+  // There are four parts, the top, an optional middle, a repeated part, and a
+  // bottom.
+  let top;
+  let middle;
+  let repeat;
+  let bottom;
+  top = repeat = bottom = delim;
+  middle = null; // Also keep track of what font the delimiters are in
+
+  let font = "Size1-Regular"; // We set the parts and font based on the symbol. Note that we use
+  // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the
+  // repeats of the arrows
+
+  if (delim === "\\uparrow") {
+    repeat = bottom = "\u23d0";
+  } else if (delim === "\\Uparrow") {
+    repeat = bottom = "\u2016";
+  } else if (delim === "\\downarrow") {
+    top = repeat = "\u23d0";
+  } else if (delim === "\\Downarrow") {
+    top = repeat = "\u2016";
+  } else if (delim === "\\updownarrow") {
+    top = "\\uparrow";
+    repeat = "\u23d0";
+    bottom = "\\downarrow";
+  } else if (delim === "\\Updownarrow") {
+    top = "\\Uparrow";
+    repeat = "\u2016";
+    bottom = "\\Downarrow";
+  } else if (delim === "[" || delim === "\\lbrack") {
+    top = "\u23a1";
+    repeat = "\u23a2";
+    bottom = "\u23a3";
+    font = "Size4-Regular";
+  } else if (delim === "]" || delim === "\\rbrack") {
+    top = "\u23a4";
+    repeat = "\u23a5";
+    bottom = "\u23a6";
+    font = "Size4-Regular";
+  } else if (delim === "\\lfloor" || delim === "\u230a") {
+    repeat = top = "\u23a2";
+    bottom = "\u23a3";
+    font = "Size4-Regular";
+  } else if (delim === "\\lceil" || delim === "\u2308") {
+    top = "\u23a1";
+    repeat = bottom = "\u23a2";
+    font = "Size4-Regular";
+  } else if (delim === "\\rfloor" || delim === "\u230b") {
+    repeat = top = "\u23a5";
+    bottom = "\u23a6";
+    font = "Size4-Regular";
+  } else if (delim === "\\rceil" || delim === "\u2309") {
+    top = "\u23a4";
+    repeat = bottom = "\u23a5";
+    font = "Size4-Regular";
+  } else if (delim === "(" || delim === "\\lparen") {
+    top = "\u239b";
+    repeat = "\u239c";
+    bottom = "\u239d";
+    font = "Size4-Regular";
+  } else if (delim === ")" || delim === "\\rparen") {
+    top = "\u239e";
+    repeat = "\u239f";
+    bottom = "\u23a0";
+    font = "Size4-Regular";
+  } else if (delim === "\\{" || delim === "\\lbrace") {
+    top = "\u23a7";
+    middle = "\u23a8";
+    bottom = "\u23a9";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\}" || delim === "\\rbrace") {
+    top = "\u23ab";
+    middle = "\u23ac";
+    bottom = "\u23ad";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\lgroup" || delim === "\u27ee") {
+    top = "\u23a7";
+    bottom = "\u23a9";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\rgroup" || delim === "\u27ef") {
+    top = "\u23ab";
+    bottom = "\u23ad";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\lmoustache" || delim === "\u23b0") {
+    top = "\u23a7";
+    bottom = "\u23ad";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\rmoustache" || delim === "\u23b1") {
+    top = "\u23ab";
+    bottom = "\u23a9";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } // Get the metrics of the four sections
+
+
+  const topMetrics = getMetrics(top, font, mode);
+  const topHeightTotal = topMetrics.height + topMetrics.depth;
+  const repeatMetrics = getMetrics(repeat, font, mode);
+  const repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
+  const bottomMetrics = getMetrics(bottom, font, mode);
+  const bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
+  let middleHeightTotal = 0;
+  let middleFactor = 1;
+
+  if (middle !== null) {
+    const middleMetrics = getMetrics(middle, font, mode);
+    middleHeightTotal = middleMetrics.height + middleMetrics.depth;
+    middleFactor = 2; // repeat symmetrically above and below middle
+  } // Calcuate the minimal height that the delimiter can have.
+  // It is at least the size of the top, bottom, and optional middle combined.
+
+
+  const minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need
+
+  const repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols
+
+  const realHeightTotal = minHeight + repeatCount * middleFactor * repeatHeightTotal; // The center of the delimiter is placed at the center of the axis. Note
+  // that in this context, "center" means that the delimiter should be
+  // centered around the axis in the current style, while normally it is
+  // centered around the axis in textstyle.
+
+  let axisHeight = options.fontMetrics().axisHeight;
+
+  if (center) {
+    axisHeight *= options.sizeMultiplier;
+  } // Calculate the depth
+
+
+  const depth = realHeightTotal / 2 - axisHeight; // This function differs from the TeX procedure in one way.
+  // We shift each repeat element downwards by 0.005em, to prevent a gap
+  // due to browser floating point rounding error.
+  // Then, at the last element-to element joint, we add one extra repeat
+  // element to cover the gap created by the shifts.
+  // Find the shift needed to align the upper end of the extra element at a point
+  // 0.005em above the lower end of the top element.
+
+  const shiftOfExtraElement = (repeatCount + 1) * 0.005 - repeatHeightTotal; // Now, we start building the pieces that will go into the vlist
+  // Keep a list of the inner pieces
+
+  const inners = []; // Add the bottom symbol
+
+  inners.push(makeInner(bottom, font, mode));
+
+  if (middle === null) {
+    // Add that many symbols
+    for (let i = 0; i < repeatCount; i++) {
+      inners.push(lap); // overlap
+
+      inners.push(makeInner(repeat, font, mode));
+    }
+  } else {
+    // When there is a middle bit, we need the middle part and two repeated
+    // sections
+    for (let i = 0; i < repeatCount; i++) {
+      inners.push(lap);
+      inners.push(makeInner(repeat, font, mode));
+    } // Insert one extra repeat element.
+
+
+    inners.push({
+      type: "kern",
+      size: shiftOfExtraElement
+    });
+    inners.push(makeInner(repeat, font, mode));
+    inners.push(lap); // Now insert the middle of the brace.
+
+    inners.push(makeInner(middle, font, mode));
+
+    for (let i = 0; i < repeatCount; i++) {
+      inners.push(lap);
+      inners.push(makeInner(repeat, font, mode));
+    }
+  } // To cover the gap create by the overlaps, insert one more repeat element,
+  // at a position that juts 0.005 above the bottom of the top element.
+
+
+  inners.push({
+    type: "kern",
+    size: shiftOfExtraElement
+  });
+  inners.push(makeInner(repeat, font, mode));
+  inners.push(lap); // Add the top symbol
+
+  inners.push(makeInner(top, font, mode)); // Finally, build the vlist
+
+  const newOptions = options.havingBaseStyle(Style$1.TEXT);
+  const inner = buildCommon.makeVList({
+    positionType: "bottom",
+    positionData: depth,
+    children: inners
+  }, newOptions);
+  return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), Style$1.TEXT, options, classes);
+}; // All surds have 0.08em padding above the viniculum inside the SVG.
+// That keeps browser span height rounding error from pinching the line.
+
+
+const vbPad = 80; // padding above the surd, measured inside the viewBox.
+
+const emPad = 0.08; // padding, in ems, measured in the document.
+
+const sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) {
+  const path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight);
+  const pathNode = new PathNode(sqrtName, path);
+  const svg = new SvgNode([pathNode], {
+    // Note: 1000:1 ratio of viewBox to document em width.
+    "width": "400em",
+    "height": height + "em",
+    "viewBox": "0 0 400000 " + viewBoxHeight,
+    "preserveAspectRatio": "xMinYMin slice"
+  });
+  return buildCommon.makeSvgSpan(["hide-tail"], [svg], options);
+};
+/**
+ * Make a sqrt image of the given height,
+ */
+
+
+const makeSqrtImage = function makeSqrtImage(height, options) {
+  // Define a newOptions that removes the effect of size changes such as \Huge.
+  // We don't pick different a height surd for \Huge. For it, we scale up.
+  const newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds.
+
+  const delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions);
+  let sizeMultiplier = newOptions.sizeMultiplier; // default
+  // The standard sqrt SVGs each have a 0.04em thick viniculum.
+  // If Settings.minRuleThickness is larger than that, we add extraViniculum.
+
+  const extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol.
+
+  let span;
+  let spanHeight = 0;
+  let texHeight = 0;
+  let viewBoxHeight = 0;
+  let advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd.
+  // Then browser rounding error on the parent span height will not
+  // encroach on the ink of the viniculum. But that padding is not
+  // included in the TeX-like `height` used for calculation of
+  // vertical alignment. So texHeight = span.height < span.style.height.
+
+  if (delim.type === "small") {
+    // Get an SVG that is derived from glyph U+221A in font KaTeX-Main.
+    // 1000 unit normal glyph height.
+    viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad;
+
+    if (height < 1.0) {
+      sizeMultiplier = 1.0; // mimic a \textfont radical
+    } else if (height < 1.4) {
+      sizeMultiplier = 0.7; // mimic a \scriptfont radical
+    }
+
+    spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier;
+    texHeight = (1.00 + extraViniculum) / sizeMultiplier;
+    span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.853em";
+    advanceWidth = 0.833 / sizeMultiplier; // from the font.
+  } else if (delim.type === "large") {
+    // These SVGs come from fonts: KaTeX_Size1, _Size2, etc.
+    viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size];
+    texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier;
+    spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier;
+    span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "1.02em";
+    advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font.
+  } else {
+    // Tall sqrt. In TeX, this would be stacked using multiple glyphs.
+    // We'll use a single SVG to accomplish the same thing.
+    spanHeight = height + extraViniculum + emPad;
+    texHeight = height + extraViniculum;
+    viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad;
+    span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.742em";
+    advanceWidth = 1.056;
+  }
+
+  span.height = texHeight;
+  span.style.height = spanHeight + "em";
+  return {
+    span,
+    advanceWidth,
+    // Calculate the actual line width.
+    // This actually should depend on the chosen font -- e.g. \boldmath
+    // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and
+    // have thicker rules.
+    ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier
+  };
+}; // There are three kinds of delimiters, delimiters that stack when they become
+// too large
+
+
+const stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack
+
+const stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"]; // and delimiters that never stack
+
+const stackNeverDelimiters = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"]; // Metrics of the different sizes. Found by looking at TeX's output of
+// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$
+// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.
+
+const sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];
+/**
+ * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.
+ */
+
+const makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) {
+  // < and > turn into \langle and \rangle in delimiters
+  if (delim === "<" || delim === "\\lt" || delim === "\u27e8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") {
+    delim = "\\rangle";
+  } // Sized delimiters are never centered.
+
+
+  if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) {
+    return makeLargeDelim(delim, size, false, options, mode, classes);
+  } else if (utils.contains(stackAlwaysDelimiters, delim)) {
+    return makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes);
+  } else {
+    throw new ParseError("Illegal delimiter: '" + delim + "'");
+  }
+};
+/**
+ * There are three different sequences of delimiter sizes that the delimiters
+ * follow depending on the kind of delimiter. This is used when creating custom
+ * sized delimiters to decide whether to create a small, large, or stacked
+ * delimiter.
+ *
+ * In real TeX, these sequences aren't explicitly defined, but are instead
+ * defined inside the font metrics. Since there are only three sequences that
+ * are possible for the delimiters that TeX defines, it is easier to just encode
+ * them explicitly here.
+ */
+
+
+// Delimiters that never stack try small delimiters and large delimiters only
+const stackNeverDelimiterSequence = [{
+  type: "small",
+  style: Style$1.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: Style$1.SCRIPT
+}, {
+  type: "small",
+  style: Style$1.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}]; // Delimiters that always stack try the small delimiters first, then stack
+
+const stackAlwaysDelimiterSequence = [{
+  type: "small",
+  style: Style$1.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: Style$1.SCRIPT
+}, {
+  type: "small",
+  style: Style$1.TEXT
+}, {
+  type: "stack"
+}]; // Delimiters that stack when large try the small and then large delimiters, and
+// stack afterwards
+
+const stackLargeDelimiterSequence = [{
+  type: "small",
+  style: Style$1.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: Style$1.SCRIPT
+}, {
+  type: "small",
+  style: Style$1.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}, {
+  type: "stack"
+}];
+/**
+ * Get the font used in a delimiter based on what kind of delimiter it is.
+ * TODO(#963) Use more specific font family return type once that is introduced.
+ */
+
+const delimTypeToFont = function delimTypeToFont(type) {
+  if (type.type === "small") {
+    return "Main-Regular";
+  } else if (type.type === "large") {
+    return "Size" + type.size + "-Regular";
+  } else if (type.type === "stack") {
+    return "Size4-Regular";
+  } else {
+    throw new Error(`Add support for delim type '${type.type}' here.`);
+  }
+};
+/**
+ * Traverse a sequence of types of delimiters to decide what kind of delimiter
+ * should be used to create a delimiter of the given height+depth.
+ */
+
+
+const traverseSequence = function traverseSequence(delim, height, sequence, options) {
+  // Here, we choose the index we should start at in the sequences. In smaller
+  // sizes (which correspond to larger numbers in style.size) we start earlier
+  // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts
+  // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2
+  const start = Math.min(2, 3 - options.style.size);
+
+  for (let i = start; i < sequence.length; i++) {
+    if (sequence[i].type === "stack") {
+      // This is always the last delimiter, so we just break the loop now.
+      break;
+    }
+
+    const metrics = getMetrics(delim, delimTypeToFont(sequence[i]), "math");
+    let heightDepth = metrics.height + metrics.depth; // Small delimiters are scaled down versions of the same font, so we
+    // account for the style change size.
+
+    if (sequence[i].type === "small") {
+      const newOptions = options.havingBaseStyle(sequence[i].style);
+      heightDepth *= newOptions.sizeMultiplier;
+    } // Check if the delimiter at this size works for the given height.
+
+
+    if (heightDepth > height) {
+      return sequence[i];
+    }
+  } // If we reached the end of the sequence, return the last sequence element.
+
+
+  return sequence[sequence.length - 1];
+};
+/**
+ * Make a delimiter of a given height+depth, with optional centering. Here, we
+ * traverse the sequences, and create a delimiter that the sequence tells us to.
+ */
+
+
+const makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) {
+  if (delim === "<" || delim === "\\lt" || delim === "\u27e8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") {
+    delim = "\\rangle";
+  } // Decide what sequence to use
+
+
+  let sequence;
+
+  if (utils.contains(stackNeverDelimiters, delim)) {
+    sequence = stackNeverDelimiterSequence;
+  } else if (utils.contains(stackLargeDelimiters, delim)) {
+    sequence = stackLargeDelimiterSequence;
+  } else {
+    sequence = stackAlwaysDelimiterSequence;
+  } // Look through the sequence
+
+
+  const delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs.
+  // Depending on the sequence element we decided on, call the
+  // appropriate function.
+
+  if (delimType.type === "small") {
+    return makeSmallDelim(delim, delimType.style, center, options, mode, classes);
+  } else if (delimType.type === "large") {
+    return makeLargeDelim(delim, delimType.size, center, options, mode, classes);
+  } else
+    /* if (delimType.type === "stack") */
+    {
+      return makeStackedDelim(delim, height, center, options, mode, classes);
+    }
+};
+/**
+ * Make a delimiter for use with `\left` and `\right`, given a height and depth
+ * of an expression that the delimiters surround.
+ */
+
+
+const makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) {
+  // We always center \left/\right delimiters, so the axis is always shifted
+  const axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right
+
+  const delimiterFactor = 901;
+  const delimiterExtend = 5.0 / options.fontMetrics().ptPerEm;
+  const maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight);
+  const totalHeight = Math.max( // In real TeX, calculations are done using integral values which are
+  // 65536 per pt, or 655360 per em. So, the division here truncates in
+  // TeX but doesn't here, producing different results. If we wanted to
+  // exactly match TeX's calculation, we could do
+  //   Math.floor(655360 * maxDistFromAxis / 500) *
+  //    delimiterFactor / 655360
+  // (To see the difference, compare
+  //    x^{x^{\left(\rule{0.1em}{0.68em}\right)}}
+  // in TeX and KaTeX)
+  maxDistFromAxis / 500 * delimiterFactor, 2 * maxDistFromAxis - delimiterExtend); // Finally, we defer to `makeCustomSizedDelim` with our calculated total
+  // height
+
+  return makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes);
+};
+
+var delimiter = {
+  sqrtImage: makeSqrtImage,
+  sizedDelim: makeSizedDelim,
+  customSizedDelim: makeCustomSizedDelim,
+  leftRightDelim: makeLeftRightDelim
+};
+
+// Extra data needed for the delimiter handler down below
+const delimiterSizes = {
+  "\\bigl": {
+    mclass: "mopen",
+    size: 1
+  },
+  "\\Bigl": {
+    mclass: "mopen",
+    size: 2
+  },
+  "\\biggl": {
+    mclass: "mopen",
+    size: 3
+  },
+  "\\Biggl": {
+    mclass: "mopen",
+    size: 4
+  },
+  "\\bigr": {
+    mclass: "mclose",
+    size: 1
+  },
+  "\\Bigr": {
+    mclass: "mclose",
+    size: 2
+  },
+  "\\biggr": {
+    mclass: "mclose",
+    size: 3
+  },
+  "\\Biggr": {
+    mclass: "mclose",
+    size: 4
+  },
+  "\\bigm": {
+    mclass: "mrel",
+    size: 1
+  },
+  "\\Bigm": {
+    mclass: "mrel",
+    size: 2
+  },
+  "\\biggm": {
+    mclass: "mrel",
+    size: 3
+  },
+  "\\Biggm": {
+    mclass: "mrel",
+    size: 4
+  },
+  "\\big": {
+    mclass: "mord",
+    size: 1
+  },
+  "\\Big": {
+    mclass: "mord",
+    size: 2
+  },
+  "\\bigg": {
+    mclass: "mord",
+    size: 3
+  },
+  "\\Bigg": {
+    mclass: "mord",
+    size: 4
+  }
+};
+const delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27e8", "\\rangle", "\u27e9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."];
+
+// Delimiter functions
+function checkDelimiter(delim, context) {
+  const symDelim = checkSymbolNodeType(delim);
+
+  if (symDelim && utils.contains(delimiters, symDelim.text)) {
+    return symDelim;
+  } else {
+    throw new ParseError("Invalid delimiter: '" + (symDelim ? symDelim.text : JSON.stringify(delim)) + "' after '" + context.funcName + "'", delim);
+  }
+}
+
+defineFunction({
+  type: "delimsizing",
+  names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const delim = checkDelimiter(args[0], context);
+    return {
+      type: "delimsizing",
+      mode: context.parser.mode,
+      size: delimiterSizes[context.funcName].size,
+      mclass: delimiterSizes[context.funcName].mclass,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: (group, options) => {
+    if (group.delim === ".") {
+      // Empty delimiters still count as elements, even though they don't
+      // show anything.
+      return buildCommon.makeSpan([group.mclass]);
+    } // Use delimiter.sizedDelim to generate the delimiter.
+
+
+    return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]);
+  },
+  mathmlBuilder: group => {
+    const children = [];
+
+    if (group.delim !== ".") {
+      children.push(makeText(group.delim, group.mode));
+    }
+
+    const node = new mathMLTree.MathNode("mo", children);
+
+    if (group.mclass === "mopen" || group.mclass === "mclose") {
+      // Only some of the delimsizing functions act as fences, and they
+      // return "mopen" or "mclose" mclass.
+      node.setAttribute("fence", "true");
+    } else {
+      // Explicitly disable fencing if it's not a fence, to override the
+      // defaults.
+      node.setAttribute("fence", "false");
+    }
+
+    return node;
+  }
+});
+
+function assertParsed(group) {
+  if (!group.body) {
+    throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
+  }
+}
+
+defineFunction({
+  type: "leftright-right",
+  names: ["\\right"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    // \left case below triggers parsing of \right in
+    //   `const right = parser.parseFunction();`
+    // uses this return value.
+    const color = context.parser.gullet.macros.get("\\current@color");
+
+    if (color && typeof color !== "string") {
+      throw new ParseError("\\current@color set to non-string in \\right");
+    }
+
+    return {
+      type: "leftright-right",
+      mode: context.parser.mode,
+      delim: checkDelimiter(args[0], context).text,
+      color // undefined if not set via \color
+
+    };
+  }
+});
+defineFunction({
+  type: "leftright",
+  names: ["\\left"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const delim = checkDelimiter(args[0], context);
+    const parser = context.parser; // Parse out the implicit body
+
+    ++parser.leftrightDepth; // parseExpression stops before '\\right'
+
+    const body = parser.parseExpression(false);
+    --parser.leftrightDepth; // Check the next token
+
+    parser.expect("\\right", false);
+    const right = assertNodeType(parser.parseFunction(), "leftright-right");
+    return {
+      type: "leftright",
+      mode: parser.mode,
+      body,
+      left: delim.text,
+      right: right.delim,
+      rightColor: right.color
+    };
+  },
+  htmlBuilder: (group, options) => {
+    assertParsed(group); // Build the inner expression
+
+    const inner = buildExpression(group.body, options, true, ["mopen", "mclose"]);
+    let innerHeight = 0;
+    let innerDepth = 0;
+    let hadMiddle = false; // Calculate its height and depth
+
+    for (let i = 0; i < inner.length; i++) {
+      // Property `isMiddle` not defined on `span`. See comment in
+      // "middle"'s htmlBuilder.
+      // $FlowFixMe
+      if (inner[i].isMiddle) {
+        hadMiddle = true;
+      } else {
+        innerHeight = Math.max(inner[i].height, innerHeight);
+        innerDepth = Math.max(inner[i].depth, innerDepth);
+      }
+    } // The size of delimiters is the same, regardless of what style we are
+    // in. Thus, to correctly calculate the size of delimiter we need around
+    // a group, we scale down the inner size based on the size.
+
+
+    innerHeight *= options.sizeMultiplier;
+    innerDepth *= options.sizeMultiplier;
+    let leftDelim;
+
+    if (group.left === ".") {
+      // Empty delimiters in \left and \right make null delimiter spaces.
+      leftDelim = makeNullDelimiter(options, ["mopen"]);
+    } else {
+      // Otherwise, use leftRightDelim to generate the correct sized
+      // delimiter.
+      leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]);
+    } // Add it to the beginning of the expression
+
+
+    inner.unshift(leftDelim); // Handle middle delimiters
+
+    if (hadMiddle) {
+      for (let i = 1; i < inner.length; i++) {
+        const middleDelim = inner[i]; // Property `isMiddle` not defined on `span`. See comment in
+        // "middle"'s htmlBuilder.
+        // $FlowFixMe
+
+        const isMiddle = middleDelim.isMiddle;
+
+        if (isMiddle) {
+          // Apply the options that were active when \middle was called
+          inner[i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []);
+        }
+      }
+    }
+
+    let rightDelim; // Same for the right delimiter, but using color specified by \color
+
+    if (group.right === ".") {
+      rightDelim = makeNullDelimiter(options, ["mclose"]);
+    } else {
+      const colorOptions = group.rightColor ? options.withColor(group.rightColor) : options;
+      rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]);
+    } // Add it to the end of the expression.
+
+
+    inner.push(rightDelim);
+    return buildCommon.makeSpan(["minner"], inner, options);
+  },
+  mathmlBuilder: (group, options) => {
+    assertParsed(group);
+    const inner = buildExpression$1(group.body, options);
+
+    if (group.left !== ".") {
+      const leftNode = new mathMLTree.MathNode("mo", [makeText(group.left, group.mode)]);
+      leftNode.setAttribute("fence", "true");
+      inner.unshift(leftNode);
+    }
+
+    if (group.right !== ".") {
+      const rightNode = new mathMLTree.MathNode("mo", [makeText(group.right, group.mode)]);
+      rightNode.setAttribute("fence", "true");
+
+      if (group.rightColor) {
+        rightNode.setAttribute("mathcolor", group.rightColor);
+      }
+
+      inner.push(rightNode);
+    }
+
+    return makeRow(inner);
+  }
+});
+defineFunction({
+  type: "middle",
+  names: ["\\middle"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const delim = checkDelimiter(args[0], context);
+
+    if (!context.parser.leftrightDepth) {
+      throw new ParseError("\\middle without preceding \\left", delim);
+    }
+
+    return {
+      type: "middle",
+      mode: context.parser.mode,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: (group, options) => {
+    let middleDelim;
+
+    if (group.delim === ".") {
+      middleDelim = makeNullDelimiter(options, []);
+    } else {
+      middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []);
+      const isMiddle = {
+        delim: group.delim,
+        options
+      }; // Property `isMiddle` not defined on `span`. It is only used in
+      // this file above.
+      // TODO: Fix this violation of the `span` type and possibly rename
+      // things since `isMiddle` sounds like a boolean, but is a struct.
+      // $FlowFixMe
+
+      middleDelim.isMiddle = isMiddle;
+    }
+
+    return middleDelim;
+  },
+  mathmlBuilder: (group, options) => {
+    // A Firefox \middle will strech a character vertically only if it
+    // is in the fence part of the operator dictionary at:
+    // https://www.w3.org/TR/MathML3/appendixc.html.
+    // So we need to avoid U+2223 and use plain "|" instead.
+    const textNode = group.delim === "\\vert" || group.delim === "|" ? makeText("|", "text") : makeText(group.delim, group.mode);
+    const middleNode = new mathMLTree.MathNode("mo", [textNode]);
+    middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each <mo> element.
+    // \middle should get delimiter spacing instead.
+
+    middleNode.setAttribute("lspace", "0.05em");
+    middleNode.setAttribute("rspace", "0.05em");
+    return middleNode;
+  }
+});
+
+const htmlBuilder$2 = (group, options) => {
+  // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox
+  // Some groups can return document fragments.  Handle those by wrapping
+  // them in a span.
+  const inner = buildCommon.wrapFragment(buildGroup(group.body, options), options);
+  const label = group.label.substr(1);
+  const scale = options.sizeMultiplier;
+  let img;
+  let imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different
+  // depending on whether the subject is wider than it is tall, or vice versa.
+  // We don't know the width of a group, so as a proxy, we test if
+  // the subject is a single character. This captures most of the
+  // subjects that should get the "tall" treatment.
+
+  const isSingleChar = utils.isCharacterBox(group.body);
+
+  if (label === "sout") {
+    img = buildCommon.makeSpan(["stretchy", "sout"]);
+    img.height = options.fontMetrics().defaultRuleThickness / scale;
+    imgShift = -0.5 * options.fontMetrics().xHeight;
+  } else {
+    // Add horizontal padding
+    if (/cancel/.test(label)) {
+      if (!isSingleChar) {
+        inner.classes.push("cancel-pad");
+      }
+    } else {
+      inner.classes.push("boxpad");
+    } // Add vertical padding
+
+
+    let vertPad = 0;
+    let ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2"
+
+    if (/box/.test(label)) {
+      ruleThickness = Math.max(options.fontMetrics().fboxrule, // default
+      options.minRuleThickness // User override.
+      );
+      vertPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
+    } else {
+      vertPad = isSingleChar ? 0.2 : 0;
+    }
+
+    img = stretchy.encloseSpan(inner, label, vertPad, options);
+
+    if (/fbox|boxed|fcolorbox/.test(label)) {
+      img.style.borderStyle = "solid";
+      img.style.borderWidth = `${ruleThickness}em`;
+    }
+
+    imgShift = inner.depth + vertPad;
+
+    if (group.backgroundColor) {
+      img.style.backgroundColor = group.backgroundColor;
+
+      if (group.borderColor) {
+        img.style.borderColor = group.borderColor;
+      }
+    }
+  }
+
+  let vlist;
+
+  if (group.backgroundColor) {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Put the color background behind inner;
+      {
+        type: "elem",
+        elem: img,
+        shift: imgShift
+      }, {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }]
+    }, options);
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Write the \cancel stroke on top of inner.
+      {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }, {
+        type: "elem",
+        elem: img,
+        shift: imgShift,
+        wrapperClasses: /cancel/.test(label) ? ["svg-align"] : []
+      }]
+    }, options);
+  }
+
+  if (/cancel/.test(label)) {
+    // The cancel package documentation says that cancel lines add their height
+    // to the expression, but tests show that isn't how it actually works.
+    vlist.height = inner.height;
+    vlist.depth = inner.depth;
+  }
+
+  if (/cancel/.test(label) && !isSingleChar) {
+    // cancel does not create horiz space for its line extension.
+    return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options);
+  } else {
+    return buildCommon.makeSpan(["mord"], [vlist], options);
+  }
+};
+
+const mathmlBuilder$2 = (group, options) => {
+  let fboxsep = 0;
+  const node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildGroup$1(group.body, options)]);
+
+  switch (group.label) {
+    case "\\cancel":
+      node.setAttribute("notation", "updiagonalstrike");
+      break;
+
+    case "\\bcancel":
+      node.setAttribute("notation", "downdiagonalstrike");
+      break;
+
+    case "\\sout":
+      node.setAttribute("notation", "horizontalstrike");
+      break;
+
+    case "\\fbox":
+      node.setAttribute("notation", "box");
+      break;
+
+    case "\\fcolorbox":
+    case "\\colorbox":
+      // <menclose> doesn't have a good notation option. So use <mpadded>
+      // instead. Set some attributes that come included with <menclose>.
+      fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm;
+      node.setAttribute("width", `+${2 * fboxsep}pt`);
+      node.setAttribute("height", `+${2 * fboxsep}pt`);
+      node.setAttribute("lspace", `${fboxsep}pt`); //
+
+      node.setAttribute("voffset", `${fboxsep}pt`);
+
+      if (group.label === "\\fcolorbox") {
+        const thk = Math.max(options.fontMetrics().fboxrule, // default
+        options.minRuleThickness // user override
+        );
+        node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor));
+      }
+
+      break;
+
+    case "\\xcancel":
+      node.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
+      break;
+  }
+
+  if (group.backgroundColor) {
+    node.setAttribute("mathbackground", group.backgroundColor);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "enclose",
+  names: ["\\colorbox"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "text"]
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const color = assertNodeType(args[0], "color-token").color;
+    const body = args[1];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor: color,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$2,
+  mathmlBuilder: mathmlBuilder$2
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fcolorbox"],
+  props: {
+    numArgs: 3,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "color", "text"]
+  },
+
+  handler(_ref2, args, optArgs) {
+    let parser = _ref2.parser,
+        funcName = _ref2.funcName;
+    const borderColor = assertNodeType(args[0], "color-token").color;
+    const backgroundColor = assertNodeType(args[1], "color-token").color;
+    const body = args[2];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor,
+      borderColor,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$2,
+  mathmlBuilder: mathmlBuilder$2
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fbox"],
+  props: {
+    numArgs: 1,
+    argTypes: ["hbox"],
+    allowedInText: true
+  },
+
+  handler(_ref3, args) {
+    let parser = _ref3.parser;
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: "\\fbox",
+      body: args[0]
+    };
+  }
+
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref4, args, optArgs) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    const body = args[0];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$2,
+  mathmlBuilder: mathmlBuilder$2
+});
+
+/**
+ * All registered environments.
+ * `environments.js` exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary via `environments.js`.
+ */
+const _environments = {};
+function defineEnvironment(_ref) {
+  let type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of environments.
+  const data = {
+    type,
+    numArgs: props.numArgs || 0,
+    greediness: 1,
+    allowedInText: false,
+    numOptionalArgs: 0,
+    handler
+  };
+
+  for (let i = 0; i < names.length; ++i) {
+    // TODO: The value type of _environments should be a type union of all
+    // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is
+    // an existential type.
+    // $FlowFixMe
+    _environments[names[i]] = data;
+  }
+
+  if (htmlBuilder) {
+    _htmlGroupBuilders[type] = htmlBuilder;
+  }
+
+  if (mathmlBuilder) {
+    _mathmlGroupBuilders[type] = mathmlBuilder;
+  }
+}
+
+function getHLines(parser) {
+  // Return an array. The array length = number of hlines.
+  // Each element in the array tells if the line is dashed.
+  const hlineInfo = [];
+  parser.consumeSpaces();
+  let nxt = parser.fetch().text;
+
+  while (nxt === "\\hline" || nxt === "\\hdashline") {
+    parser.consume();
+    hlineInfo.push(nxt === "\\hdashline");
+    parser.consumeSpaces();
+    nxt = parser.fetch().text;
+  }
+
+  return hlineInfo;
+}
+/**
+ * Parse the body of the environment, with rows delimited by \\ and
+ * columns delimited by &, and create a nested list in row-major order
+ * with one group per cell.  If given an optional argument style
+ * ("text", "display", etc.), then each cell is cast into that style.
+ */
+
+
+function parseArray(parser, _ref, style) {
+  let hskipBeforeAndAfter = _ref.hskipBeforeAndAfter,
+      addJot = _ref.addJot,
+      cols = _ref.cols,
+      arraystretch = _ref.arraystretch,
+      colSeparationType = _ref.colSeparationType;
+  // Parse body of array with \\ temporarily mapped to \cr
+  parser.gullet.beginGroup();
+  parser.gullet.macros.set("\\\\", "\\cr"); // Get current arraystretch if it's not set by the environment
+
+  if (!arraystretch) {
+    const stretch = parser.gullet.expandMacroAsText("\\arraystretch");
+
+    if (stretch == null) {
+      // Default \arraystretch from lttab.dtx
+      arraystretch = 1;
+    } else {
+      arraystretch = parseFloat(stretch);
+
+      if (!arraystretch || arraystretch < 0) {
+        throw new ParseError(`Invalid \\arraystretch: ${stretch}`);
+      }
+    }
+  } // Start group for first cell
+
+
+  parser.gullet.beginGroup();
+  let row = [];
+  const body = [row];
+  const rowGaps = [];
+  const hLinesBeforeRow = []; // Test for \hline at the top of the array.
+
+  hLinesBeforeRow.push(getHLines(parser));
+
+  while (true) {
+    // eslint-disable-line no-constant-condition
+    // Parse each cell in its own group (namespace)
+    let cell = parser.parseExpression(false, "\\cr");
+    parser.gullet.endGroup();
+    parser.gullet.beginGroup();
+    cell = {
+      type: "ordgroup",
+      mode: parser.mode,
+      body: cell
+    };
+
+    if (style) {
+      cell = {
+        type: "styling",
+        mode: parser.mode,
+        style,
+        body: [cell]
+      };
+    }
+
+    row.push(cell);
+    const next = parser.fetch().text;
+
+    if (next === "&") {
+      parser.consume();
+    } else if (next === "\\end") {
+      // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
+      // the last line is empty.
+      // NOTE: Currently, `cell` is the last item added into `row`.
+      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0) {
+        body.pop();
+      }
+
+      if (hLinesBeforeRow.length < body.length + 1) {
+        hLinesBeforeRow.push([]);
+      }
+
+      break;
+    } else if (next === "\\cr") {
+      const cr = assertNodeType(parser.parseFunction(), "cr");
+      rowGaps.push(cr.size); // check for \hline(s) following the row separator
+
+      hLinesBeforeRow.push(getHLines(parser));
+      row = [];
+      body.push(row);
+    } else {
+      throw new ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
+    }
+  } // End cell group
+
+
+  parser.gullet.endGroup(); // End array group defining \\
+
+  parser.gullet.endGroup();
+  return {
+    type: "array",
+    mode: parser.mode,
+    addJot,
+    arraystretch,
+    body,
+    cols,
+    rowGaps,
+    hskipBeforeAndAfter,
+    hLinesBeforeRow,
+    colSeparationType
+  };
+} // Decides on a style for cells in an array according to whether the given
+// environment name starts with the letter 'd'.
+
+
+function dCellStyle(envName) {
+  if (envName.substr(0, 1) === "d") {
+    return "display";
+  } else {
+    return "text";
+  }
+}
+
+const htmlBuilder$3 = function htmlBuilder(group, options) {
+  let r;
+  let c;
+  const nr = group.body.length;
+  const hLinesBeforeRow = group.hLinesBeforeRow;
+  let nc = 0;
+  let body = new Array(nr);
+  const hlines = [];
+  const ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em.
+  options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override.
+  ); // Horizontal spacing
+
+  const pt = 1 / options.fontMetrics().ptPerEm;
+  let arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls
+
+  if (group.colSeparationType && group.colSeparationType === "small") {
+    // We're in a {smallmatrix}. Default column space is \thickspace,
+    // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}.
+    // But that needs adjustment because LaTeX applies \scriptstyle to the
+    // entire array, including the colspace, but this function applies
+    // \scriptstyle only inside each element.
+    const localMultiplier = options.havingStyle(Style$1.SCRIPT).sizeMultiplier;
+    arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier);
+  } // Vertical spacing
+
+
+  const baselineskip = 12 * pt; // see size10.clo
+  // Default \jot from ltmath.dtx
+  // TODO(edemaine): allow overriding \jot via \setlength (#687)
+
+  const jot = 3 * pt;
+  const arrayskip = group.arraystretch * baselineskip;
+  const arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and
+
+  const arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx
+
+  let totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any.
+
+  function setHLinePos(hlinesInGap) {
+    for (let i = 0; i < hlinesInGap.length; ++i) {
+      if (i > 0) {
+        totalHeight += 0.25;
+      }
+
+      hlines.push({
+        pos: totalHeight,
+        isDashed: hlinesInGap[i]
+      });
+    }
+  }
+
+  setHLinePos(hLinesBeforeRow[0]);
+
+  for (r = 0; r < group.body.length; ++r) {
+    const inrow = group.body[r];
+    let height = arstrutHeight; // \@array adds an \@arstrut
+
+    let depth = arstrutDepth; // to each tow (via the template)
+
+    if (nc < inrow.length) {
+      nc = inrow.length;
+    }
+
+    const outrow = new Array(inrow.length);
+
+    for (c = 0; c < inrow.length; ++c) {
+      const elt = buildGroup(inrow[c], options);
+
+      if (depth < elt.depth) {
+        depth = elt.depth;
+      }
+
+      if (height < elt.height) {
+        height = elt.height;
+      }
+
+      outrow[c] = elt;
+    }
+
+    const rowGap = group.rowGaps[r];
+    let gap = 0;
+
+    if (rowGap) {
+      gap = calculateSize(rowGap, options);
+
+      if (gap > 0) {
+        // \@argarraycr
+        gap += arstrutDepth;
+
+        if (depth < gap) {
+          depth = gap; // \@xargarraycr
+        }
+
+        gap = 0;
+      }
+    } // In AMS multiline environments such as aligned and gathered, rows
+    // correspond to lines that have additional \jot added to the
+    // \baselineskip via \openup.
+
+
+    if (group.addJot) {
+      depth += jot;
+    }
+
+    outrow.height = height;
+    outrow.depth = depth;
+    totalHeight += height;
+    outrow.pos = totalHeight;
+    totalHeight += depth + gap; // \@yargarraycr
+
+    body[r] = outrow; // Set a position for \hline(s), if any.
+
+    setHLinePos(hLinesBeforeRow[r + 1]);
+  }
+
+  const offset = totalHeight / 2 + options.fontMetrics().axisHeight;
+  const colDescriptions = group.cols || [];
+  const cols = [];
+  let colSep;
+  let colDescrNum;
+
+  for (c = 0, colDescrNum = 0; // Continue while either there are more columns or more column
+  // descriptions, so trailing separators don't get lost.
+  c < nc || colDescrNum < colDescriptions.length; ++c, ++colDescrNum) {
+    let colDescr = colDescriptions[colDescrNum] || {};
+    let firstSeparator = true;
+
+    while (colDescr.type === "separator") {
+      // If there is more than one separator in a row, add a space
+      // between them.
+      if (!firstSeparator) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = options.fontMetrics().doubleRuleSep + "em";
+        cols.push(colSep);
+      }
+
+      if (colDescr.separator === "|" || colDescr.separator === ":") {
+        const lineType = colDescr.separator === "|" ? "solid" : "dashed";
+        const separator = buildCommon.makeSpan(["vertical-separator"], [], options);
+        separator.style.height = totalHeight + "em";
+        separator.style.borderRightWidth = `${ruleThickness}em`;
+        separator.style.borderRightStyle = lineType;
+        separator.style.margin = `0 -${ruleThickness / 2}em`;
+        separator.style.verticalAlign = -(totalHeight - offset) + "em";
+        cols.push(separator);
+      } else {
+        throw new ParseError("Invalid separator type: " + colDescr.separator);
+      }
+
+      colDescrNum++;
+      colDescr = colDescriptions[colDescrNum] || {};
+      firstSeparator = false;
+    }
+
+    if (c >= nc) {
+      continue;
+    }
+
+    let sepwidth;
+
+    if (c > 0 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.pregap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+
+    let col = [];
+
+    for (r = 0; r < nr; ++r) {
+      const row = body[r];
+      const elem = row[c];
+
+      if (!elem) {
+        continue;
+      }
+
+      const shift = row.pos - offset;
+      elem.depth = row.depth;
+      elem.height = row.height;
+      col.push({
+        type: "elem",
+        elem: elem,
+        shift: shift
+      });
+    }
+
+    col = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: col
+    }, options);
+    col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]);
+    cols.push(col);
+
+    if (c < nc - 1 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.postgap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+  }
+
+  body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any.
+
+  if (hlines.length > 0) {
+    const line = buildCommon.makeLineSpan("hline", options, ruleThickness);
+    const dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness);
+    const vListElems = [{
+      type: "elem",
+      elem: body,
+      shift: 0
+    }];
+
+    while (hlines.length > 0) {
+      const hline = hlines.pop();
+      const lineShift = hline.pos - offset;
+
+      if (hline.isDashed) {
+        vListElems.push({
+          type: "elem",
+          elem: dashes,
+          shift: lineShift
+        });
+      } else {
+        vListElems.push({
+          type: "elem",
+          elem: line,
+          shift: lineShift
+        });
+      }
+    }
+
+    body = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: vListElems
+    }, options);
+  }
+
+  return buildCommon.makeSpan(["mord"], [body], options);
+};
+
+const alignMap = {
+  c: "center ",
+  l: "left ",
+  r: "right "
+};
+
+const mathmlBuilder$3 = function mathmlBuilder(group, options) {
+  let table = new mathMLTree.MathNode("mtable", group.body.map(function (row) {
+    return new mathMLTree.MathNode("mtr", row.map(function (cell) {
+      return new mathMLTree.MathNode("mtd", [buildGroup$1(cell, options)]);
+    }));
+  })); // Set column alignment, row spacing, column spacing, and
+  // array lines by setting attributes on the table element.
+  // Set the row spacing. In MathML, we specify a gap distance.
+  // We do not use rowGap[] because MathML automatically increases
+  // cell height with the height/depth of the element content.
+  // LaTeX \arraystretch multiplies the row baseline-to-baseline distance.
+  // We simulate this by adding (arraystretch - 1)em to the gap. This
+  // does a reasonable job of adjusting arrays containing 1 em tall content.
+  // The 0.16 and 0.09 values are found emprically. They produce an array
+  // similar to LaTeX and in which content does not interfere with \hines.
+
+  const gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
+  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
+  table.setAttribute("rowspacing", gap + "em"); // MathML table lines go only between cells.
+  // To place a line on an edge we'll use <menclose>, if necessary.
+
+  let menclose = "";
+  let align = "";
+
+  if (group.cols) {
+    // Find column alignment, column spacing, and  vertical lines.
+    const cols = group.cols;
+    let columnLines = "";
+    let prevTypeWasAlign = false;
+    let iStart = 0;
+    let iEnd = cols.length;
+
+    if (cols[0].type === "separator") {
+      menclose += "top ";
+      iStart = 1;
+    }
+
+    if (cols[cols.length - 1].type === "separator") {
+      menclose += "bottom ";
+      iEnd -= 1;
+    }
+
+    for (let i = iStart; i < iEnd; i++) {
+      if (cols[i].type === "align") {
+        align += alignMap[cols[i].align];
+
+        if (prevTypeWasAlign) {
+          columnLines += "none ";
+        }
+
+        prevTypeWasAlign = true;
+      } else if (cols[i].type === "separator") {
+        // MathML accepts only single lines between cells.
+        // So we read only the first of consecutive separators.
+        if (prevTypeWasAlign) {
+          columnLines += cols[i].separator === "|" ? "solid " : "dashed ";
+          prevTypeWasAlign = false;
+        }
+      }
+    }
+
+    table.setAttribute("columnalign", align.trim());
+
+    if (/[sd]/.test(columnLines)) {
+      table.setAttribute("columnlines", columnLines.trim());
+    }
+  } // Set column spacing.
+
+
+  if (group.colSeparationType === "align") {
+    const cols = group.cols || [];
+    let spacing = "";
+
+    for (let i = 1; i < cols.length; i++) {
+      spacing += i % 2 ? "0em " : "1em ";
+    }
+
+    table.setAttribute("columnspacing", spacing.trim());
+  } else if (group.colSeparationType === "alignat") {
+    table.setAttribute("columnspacing", "0em");
+  } else if (group.colSeparationType === "small") {
+    table.setAttribute("columnspacing", "0.2778em");
+  } else {
+    table.setAttribute("columnspacing", "1em");
+  } // Address \hline and \hdashline
+
+
+  let rowLines = "";
+  const hlines = group.hLinesBeforeRow;
+  menclose += hlines[0].length > 0 ? "left " : "";
+  menclose += hlines[hlines.length - 1].length > 0 ? "right " : "";
+
+  for (let i = 1; i < hlines.length - 1; i++) {
+    rowLines += hlines[i].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
+    : hlines[i][0] ? "dashed " : "solid ";
+  }
+
+  if (/[sd]/.test(rowLines)) {
+    table.setAttribute("rowlines", rowLines.trim());
+  }
+
+  if (menclose !== "") {
+    table = new mathMLTree.MathNode("menclose", [table]);
+    table.setAttribute("notation", menclose.trim());
+  }
+
+  if (group.arraystretch && group.arraystretch < 1) {
+    // A small array. Wrap in scriptstyle so row gap is not too large.
+    table = new mathMLTree.MathNode("mstyle", [table]);
+    table.setAttribute("scriptlevel", "1");
+  }
+
+  return table;
+}; // Convenience function for aligned and alignedat environments.
+
+
+const alignedHandler = function alignedHandler(context, args) {
+  const cols = [];
+  const res = parseArray(context.parser, {
+    cols,
+    addJot: true
+  }, "display"); // Determining number of columns.
+  // 1. If the first argument is given, we use it as a number of columns,
+  //    and makes sure that each row doesn't exceed that number.
+  // 2. Otherwise, just count number of columns = maximum number
+  //    of cells in each row ("aligned" mode -- isAligned will be true).
+  //
+  // At the same time, prepend empty group {} at beginning of every second
+  // cell in each row (starting with second cell) so that operators become
+  // binary.  This behavior is implemented in amsmath's \start@aligned.
+
+  let numMaths;
+  let numCols = 0;
+  const emptyGroup = {
+    type: "ordgroup",
+    mode: context.mode,
+    body: []
+  };
+  const ordgroup = checkNodeType(args[0], "ordgroup");
+
+  if (ordgroup) {
+    let arg0 = "";
+
+    for (let i = 0; i < ordgroup.body.length; i++) {
+      const textord = assertNodeType(ordgroup.body[i], "textord");
+      arg0 += textord.text;
+    }
+
+    numMaths = Number(arg0);
+    numCols = numMaths * 2;
+  }
+
+  const isAligned = !numCols;
+  res.body.forEach(function (row) {
+    for (let i = 1; i < row.length; i += 2) {
+      // Modify ordgroup node within styling node
+      const styling = assertNodeType(row[i], "styling");
+      const ordgroup = assertNodeType(styling.body[0], "ordgroup");
+      ordgroup.body.unshift(emptyGroup);
+    }
+
+    if (!isAligned) {
+      // Case 1
+      const curMaths = row.length / 2;
+
+      if (numMaths < curMaths) {
+        throw new ParseError("Too many math in a row: " + `expected ${numMaths}, but got ${curMaths}`, row[0]);
+      }
+    } else if (numCols < row.length) {
+      // Case 2
+      numCols = row.length;
+    }
+  }); // Adjusting alignment.
+  // In aligned mode, we add one \qquad between columns;
+  // otherwise we add nothing.
+
+  for (let i = 0; i < numCols; ++i) {
+    let align = "r";
+    let pregap = 0;
+
+    if (i % 2 === 1) {
+      align = "l";
+    } else if (i > 0 && isAligned) {
+      // "aligned" mode.
+      pregap = 1; // add one \quad
+    }
+
+    cols[i] = {
+      type: "align",
+      align: align,
+      pregap: pregap,
+      postgap: 0
+    };
+  }
+
+  res.colSeparationType = isAligned ? "align" : "alignat";
+  return res;
+}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation
+// is part of the source2e.pdf file of LaTeX2e source documentation.
+// {darray} is an {array} environment where cells are set in \displaystyle,
+// as defined in nccmath.sty.
+
+
+defineEnvironment({
+  type: "array",
+  names: ["array", "darray"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(context, args) {
+    // Since no types are specified above, the two possibilities are
+    // - The argument is wrapped in {} or [], in which case Parser's
+    //   parseGroup() returns an "ordgroup" wrapping some symbol node.
+    // - The argument is a bare symbol node.
+    const symNode = checkSymbolNodeType(args[0]);
+    const colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    const cols = colalign.map(function (nde) {
+      const node = assertSymbolNodeType(nde);
+      const ca = node.text;
+
+      if ("lcr".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      } else if (ca === "|") {
+        return {
+          type: "separator",
+          separator: "|"
+        };
+      } else if (ca === ":") {
+        return {
+          type: "separator",
+          separator: ":"
+        };
+      }
+
+      throw new ParseError("Unknown column alignment: " + ca, nde);
+    });
+    const res = {
+      cols,
+      hskipBeforeAndAfter: true // \@preamble in lttab.dtx
+
+    };
+    return parseArray(context.parser, res, dCellStyle(context.envName));
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // The matrix environments of amsmath builds on the array environment
+// of LaTeX, which is discussed above.
+
+defineEnvironment({
+  type: "array",
+  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const delimiters = {
+      "matrix": null,
+      "pmatrix": ["(", ")"],
+      "bmatrix": ["[", "]"],
+      "Bmatrix": ["\\{", "\\}"],
+      "vmatrix": ["|", "|"],
+      "Vmatrix": ["\\Vert", "\\Vert"]
+    }[context.envName]; // \hskip -\arraycolsep in amsmath
+
+    const payload = {
+      hskipBeforeAndAfter: false
+    };
+    const res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return delimiters ? {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: delimiters[0],
+      right: delimiters[1],
+      rightColor: undefined // \right uninfluenced by \color in array
+
+    } : res;
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+});
+defineEnvironment({
+  type: "array",
+  names: ["smallmatrix"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const payload = {
+      arraystretch: 0.5
+    };
+    const res = parseArray(context.parser, payload, "script");
+    res.colSeparationType = "small";
+    return res;
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+});
+defineEnvironment({
+  type: "array",
+  names: ["subarray"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(context, args) {
+    // Parsing of {subarray} is similar to {array}
+    const symNode = checkSymbolNodeType(args[0]);
+    const colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    const cols = colalign.map(function (nde) {
+      const node = assertSymbolNodeType(nde);
+      const ca = node.text; // {subarray} only recognizes "l" & "c"
+
+      if ("lc".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      }
+
+      throw new ParseError("Unknown column alignment: " + ca, nde);
+    });
+
+    if (cols.length > 1) {
+      throw new ParseError("{subarray} can contain only one column");
+    }
+
+    let res = {
+      cols,
+      hskipBeforeAndAfter: false,
+      arraystretch: 0.5
+    };
+    res = parseArray(context.parser, res, "script");
+
+    if (res.body[0].length > 1) {
+      throw new ParseError("{subarray} can contain only one column");
+    }
+
+    return res;
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // A cases environment (in amsmath.sty) is almost equivalent to
+// \def\arraystretch{1.2}%
+// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
+// {dcases} is a {cases} environment where cells are set in \displaystyle,
+// as defined in mathtools.sty.
+
+defineEnvironment({
+  type: "array",
+  names: ["cases", "dcases"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const payload = {
+      arraystretch: 1.2,
+      cols: [{
+        type: "align",
+        align: "l",
+        pregap: 0,
+        // TODO(kevinb) get the current style.
+        // For now we use the metrics for TEXT style which is what we were
+        // doing before.  Before attempting to get the current style we
+        // should look at TeX's behavior especially for \over and matrices.
+        postgap: 1.0
+        /* 1em quad */
+
+      }, {
+        type: "align",
+        align: "l",
+        pregap: 0,
+        postgap: 0
+      }]
+    };
+    const res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: "\\{",
+      right: ".",
+      rightColor: undefined
+    };
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // An aligned environment is like the align* environment
+// except it operates within math mode.
+// Note that we assume \nomallineskiplimit to be zero,
+// so that \strut@ is the same as \strut.
+
+defineEnvironment({
+  type: "array",
+  names: ["aligned"],
+  props: {
+    numArgs: 0
+  },
+  handler: alignedHandler,
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // A gathered environment is like an array environment with one centered
+// column, but where rows are considered lines so get \jot line spacing
+// and contents are set in \displaystyle.
+
+defineEnvironment({
+  type: "array",
+  names: ["gathered"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const res = {
+      cols: [{
+        type: "align",
+        align: "c"
+      }],
+      addJot: true
+    };
+    return parseArray(context.parser, res, "display");
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // alignat environment is like an align environment, but one must explicitly
+// specify maximum number of columns in each row, and can adjust spacing between
+// each columns.
+
+defineEnvironment({
+  type: "array",
+  names: ["alignedat"],
+  // One for numbered and for unnumbered;
+  // but, KaTeX doesn't supports math numbering yet,
+  // they make no difference for now.
+  props: {
+    numArgs: 1
+  },
+  handler: alignedHandler,
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // Catch \hline outside array environment
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\hline", "\\hdashline"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: true
+  },
+
+  handler(context, args) {
+    throw new ParseError(`${context.funcName} valid only within array environment`);
+  }
+
+});
+
+const environments = _environments;
+
+// defineEnvironment definitions.
+// $FlowFixMe, "environment" handler returns an environment ParseNode
+
+defineFunction({
+  type: "environment",
+  names: ["\\begin", "\\end"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"]
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const nameGroup = args[0];
+
+    if (nameGroup.type !== "ordgroup") {
+      throw new ParseError("Invalid environment name", nameGroup);
+    }
+
+    let envName = "";
+
+    for (let i = 0; i < nameGroup.body.length; ++i) {
+      envName += assertNodeType(nameGroup.body[i], "textord").text;
+    }
+
+    if (funcName === "\\begin") {
+      // begin...end is similar to left...right
+      if (!environments.hasOwnProperty(envName)) {
+        throw new ParseError("No such environment: " + envName, nameGroup);
+      } // Build the environment object. Arguments and other information will
+      // be made available to the begin and end methods using properties.
+
+
+      const env = environments[envName];
+
+      const _parser$parseArgument = parser.parseArguments("\\begin{" + envName + "}", env),
+            args = _parser$parseArgument.args,
+            optArgs = _parser$parseArgument.optArgs;
+
+      const context = {
+        mode: parser.mode,
+        envName,
+        parser
+      };
+      const result = env.handler(context, args, optArgs);
+      parser.expect("\\end", false);
+      const endNameToken = parser.nextToken;
+      const end = assertNodeType(parser.parseFunction(), "environment");
+
+      if (end.name !== envName) {
+        throw new ParseError(`Mismatch: \\begin{${envName}} matched by \\end{${end.name}}`, endNameToken);
+      }
+
+      return result;
+    }
+
+    return {
+      type: "environment",
+      mode: parser.mode,
+      name: envName,
+      nameGroup
+    };
+  }
+
+});
+
+const makeSpan$2 = buildCommon.makeSpan;
+
+function htmlBuilder$4(group, options) {
+  const elements = buildExpression(group.body, options, true);
+  return makeSpan$2([group.mclass], elements, options);
+}
+
+function mathmlBuilder$4(group, options) {
+  let node;
+  const inner = buildExpression$1(group.body, options);
+
+  if (group.mclass === "minner") {
+    return mathMLTree.newDocumentFragment(inner);
+  } else if (group.mclass === "mord") {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mi";
+    } else {
+      node = new mathMLTree.MathNode("mi", inner);
+    }
+  } else {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mo";
+    } else {
+      node = new mathMLTree.MathNode("mo", inner);
+    } // Set spacing based on what is the most likely adjacent atom type.
+    // See TeXbook p170.
+
+
+    if (group.mclass === "mbin") {
+      node.attributes.lspace = "0.22em"; // medium space
+
+      node.attributes.rspace = "0.22em";
+    } else if (group.mclass === "mpunct") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0.17em"; // thinspace
+    } else if (group.mclass === "mopen" || group.mclass === "mclose") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0em";
+    } // MathML <mo> default space is 5/18 em, so <mrel> needs no action.
+    // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo
+
+  }
+
+  return node;
+} // Math class commands except \mathop
+
+
+defineFunction({
+  type: "mclass",
+  names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: "m" + funcName.substr(5),
+      // TODO(kevinb): don't prefix with 'm'
+      body: ordargument(body),
+      isCharacterBox: utils.isCharacterBox(body)
+    };
+  },
+
+  htmlBuilder: htmlBuilder$4,
+  mathmlBuilder: mathmlBuilder$4
+});
+const binrelClass = arg => {
+  // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument.
+  // (by rendering separately and with {}s before and after, and measuring
+  // the change in spacing).  We'll do roughly the same by detecting the
+  // atom type directly.
+  const atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg;
+
+  if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) {
+    return "m" + atom.family;
+  } else {
+    return "mord";
+  }
+}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord.
+// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX.
+
+defineFunction({
+  type: "mclass",
+  names: ["\\@binrel"],
+  props: {
+    numArgs: 2
+  },
+
+  handler(_ref2, args) {
+    let parser = _ref2.parser;
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(args[0]),
+      body: [args[1]],
+      isCharacterBox: utils.isCharacterBox(args[1])
+    };
+  }
+
+}); // Build a relation or stacked op by placing one symbol on top of another
+
+defineFunction({
+  type: "mclass",
+  names: ["\\stackrel", "\\overset", "\\underset"],
+  props: {
+    numArgs: 2
+  },
+
+  handler(_ref3, args) {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    const baseArg = args[1];
+    const shiftedArg = args[0];
+    let mclass;
+
+    if (funcName !== "\\stackrel") {
+      // LaTeX applies \binrel spacing to \overset and \underset.
+      mclass = binrelClass(baseArg);
+    } else {
+      mclass = "mrel"; // for \stackrel
+    }
+
+    const baseOp = {
+      type: "op",
+      mode: baseArg.mode,
+      limits: true,
+      alwaysHandleSupSub: true,
+      parentIsSupSub: false,
+      symbol: false,
+      suppressBaseShift: funcName !== "\\stackrel",
+      body: ordargument(baseArg)
+    };
+    const supsub = {
+      type: "supsub",
+      mode: shiftedArg.mode,
+      base: baseOp,
+      sup: funcName === "\\underset" ? null : shiftedArg,
+      sub: funcName === "\\underset" ? shiftedArg : null
+    };
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass,
+      body: [supsub],
+      isCharacterBox: utils.isCharacterBox(supsub)
+    };
+  },
+
+  htmlBuilder: htmlBuilder$4,
+  mathmlBuilder: mathmlBuilder$4
+});
+
+// TODO(kevinb): implement \\sl and \\sc
+
+const htmlBuilder$5 = (group, options) => {
+  const font = group.font;
+  const newOptions = options.withFont(font);
+  return buildGroup(group.body, newOptions);
+};
+
+const mathmlBuilder$5 = (group, options) => {
+  const font = group.font;
+  const newOptions = options.withFont(font);
+  return buildGroup$1(group.body, newOptions);
+};
+
+const fontAliases = {
+  "\\Bbb": "\\mathbb",
+  "\\bold": "\\mathbf",
+  "\\frak": "\\mathfrak",
+  "\\bm": "\\boldsymbol"
+};
+defineFunction({
+  type: "font",
+  names: [// styles, except \boldsymbol defined below
+  "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families
+  "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below
+  "\\Bbb", "\\bold", "\\frak"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    let func = funcName;
+
+    if (func in fontAliases) {
+      func = fontAliases[func];
+    }
+
+    return {
+      type: "font",
+      mode: parser.mode,
+      font: func.slice(1),
+      body
+    };
+  },
+  htmlBuilder: htmlBuilder$5,
+  mathmlBuilder: mathmlBuilder$5
+});
+defineFunction({
+  type: "mclass",
+  names: ["\\boldsymbol", "\\bm"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const body = args[0];
+    const isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the
+    // argument's bin|rel|ord status
+
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(body),
+      body: [{
+        type: "font",
+        mode: parser.mode,
+        font: "boldsymbol",
+        body
+      }],
+      isCharacterBox: isCharacterBox
+    };
+  }
+}); // Old font changing functions
+
+defineFunction({
+  type: "font",
+  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: (_ref3, args) => {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName,
+        breakOnTokenText = _ref3.breakOnTokenText;
+    const mode = parser.mode;
+    const body = parser.parseExpression(true, breakOnTokenText);
+    const style = `math${funcName.slice(1)}`;
+    return {
+      type: "font",
+      mode: mode,
+      font: style,
+      body: {
+        type: "ordgroup",
+        mode: parser.mode,
+        body
+      }
+    };
+  },
+  htmlBuilder: htmlBuilder$5,
+  mathmlBuilder: mathmlBuilder$5
+});
+
+const adjustStyle = (size, originalStyle) => {
+  // Figure out what style this fraction should be in based on the
+  // function used
+  let style = originalStyle;
+
+  if (size === "display") {
+    // Get display style as a default.
+    // If incoming style is sub/sup, use style.text() to get correct size.
+    style = style.id >= Style$1.SCRIPT.id ? style.text() : Style$1.DISPLAY;
+  } else if (size === "text" && style.size === Style$1.DISPLAY.size) {
+    // We're in a \tfrac but incoming style is displaystyle, so:
+    style = Style$1.TEXT;
+  } else if (size === "script") {
+    style = Style$1.SCRIPT;
+  } else if (size === "scriptscript") {
+    style = Style$1.SCRIPTSCRIPT;
+  }
+
+  return style;
+};
+
+const htmlBuilder$6 = (group, options) => {
+  // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
+  const style = adjustStyle(group.size, options.style);
+  const nstyle = style.fracNum();
+  const dstyle = style.fracDen();
+  let newOptions;
+  newOptions = options.havingStyle(nstyle);
+  const numerm = buildGroup(group.numer, newOptions, options);
+
+  if (group.continued) {
+    // \cfrac inserts a \strut into the numerator.
+    // Get \strut dimensions from TeXbook page 353.
+    const hStrut = 8.5 / options.fontMetrics().ptPerEm;
+    const dStrut = 3.5 / options.fontMetrics().ptPerEm;
+    numerm.height = numerm.height < hStrut ? hStrut : numerm.height;
+    numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth;
+  }
+
+  newOptions = options.havingStyle(dstyle);
+  const denomm = buildGroup(group.denom, newOptions, options);
+  let rule;
+  let ruleWidth;
+  let ruleSpacing;
+
+  if (group.hasBarLine) {
+    if (group.barSize) {
+      ruleWidth = calculateSize(group.barSize, options);
+      rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth);
+    } else {
+      rule = buildCommon.makeLineSpan("frac-line", options);
+    }
+
+    ruleWidth = rule.height;
+    ruleSpacing = rule.height;
+  } else {
+    rule = null;
+    ruleWidth = 0;
+    ruleSpacing = options.fontMetrics().defaultRuleThickness;
+  } // Rule 15b
+
+
+  let numShift;
+  let clearance;
+  let denomShift;
+
+  if (style.size === Style$1.DISPLAY.size || group.size === "display") {
+    numShift = options.fontMetrics().num1;
+
+    if (ruleWidth > 0) {
+      clearance = 3 * ruleSpacing;
+    } else {
+      clearance = 7 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom1;
+  } else {
+    if (ruleWidth > 0) {
+      numShift = options.fontMetrics().num2;
+      clearance = ruleSpacing;
+    } else {
+      numShift = options.fontMetrics().num3;
+      clearance = 3 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom2;
+  }
+
+  let frac;
+
+  if (!rule) {
+    // Rule 15c
+    const candidateClearance = numShift - numerm.depth - (denomm.height - denomShift);
+
+    if (candidateClearance < clearance) {
+      numShift += 0.5 * (clearance - candidateClearance);
+      denomShift += 0.5 * (clearance - candidateClearance);
+    }
+
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } else {
+    // Rule 15d
+    const axisHeight = options.fontMetrics().axisHeight;
+
+    if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) {
+      numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth));
+    }
+
+    if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) {
+      denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift));
+    }
+
+    const midShift = -(axisHeight - 0.5 * ruleWidth);
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: rule,
+        shift: midShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } // Since we manually change the style sometimes (with \dfrac or \tfrac),
+  // account for the possible size change here.
+
+
+  newOptions = options.havingStyle(style);
+  frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier;
+  frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e
+
+  let delimSize;
+
+  if (style.size === Style$1.DISPLAY.size) {
+    delimSize = options.fontMetrics().delim1;
+  } else {
+    delimSize = options.fontMetrics().delim2;
+  }
+
+  let leftDelim;
+  let rightDelim;
+
+  if (group.leftDelim == null) {
+    leftDelim = makeNullDelimiter(options, ["mopen"]);
+  } else {
+    leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]);
+  }
+
+  if (group.continued) {
+    rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac
+  } else if (group.rightDelim == null) {
+    rightDelim = makeNullDelimiter(options, ["mclose"]);
+  } else {
+    rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]);
+  }
+
+  return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options);
+};
+
+const mathmlBuilder$6 = (group, options) => {
+  let node = new mathMLTree.MathNode("mfrac", [buildGroup$1(group.numer, options), buildGroup$1(group.denom, options)]);
+
+  if (!group.hasBarLine) {
+    node.setAttribute("linethickness", "0px");
+  } else if (group.barSize) {
+    const ruleWidth = calculateSize(group.barSize, options);
+    node.setAttribute("linethickness", ruleWidth + "em");
+  }
+
+  const style = adjustStyle(group.size, options.style);
+
+  if (style.size !== options.style.size) {
+    node = new mathMLTree.MathNode("mstyle", [node]);
+    const isDisplay = style.size === Style$1.DISPLAY.size ? "true" : "false";
+    node.setAttribute("displaystyle", isDisplay);
+    node.setAttribute("scriptlevel", "0");
+  }
+
+  if (group.leftDelim != null || group.rightDelim != null) {
+    const withDelims = [];
+
+    if (group.leftDelim != null) {
+      const leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]);
+      leftOp.setAttribute("fence", "true");
+      withDelims.push(leftOp);
+    }
+
+    withDelims.push(node);
+
+    if (group.rightDelim != null) {
+      const rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]);
+      rightOp.setAttribute("fence", "true");
+      withDelims.push(rightOp);
+    }
+
+    return makeRow(withDelims);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\cfrac", "\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
+  "\\\\bracefrac", "\\\\brackfrac"],
+  props: {
+    numArgs: 2,
+    greediness: 2
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const numer = args[0];
+    const denom = args[1];
+    let hasBarLine;
+    let leftDelim = null;
+    let rightDelim = null;
+    let size = "auto";
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\frac":
+      case "\\tfrac":
+        hasBarLine = true;
+        break;
+
+      case "\\\\atopfrac":
+        hasBarLine = false;
+        break;
+
+      case "\\dbinom":
+      case "\\binom":
+      case "\\tbinom":
+        hasBarLine = false;
+        leftDelim = "(";
+        rightDelim = ")";
+        break;
+
+      case "\\\\bracefrac":
+        hasBarLine = false;
+        leftDelim = "\\{";
+        rightDelim = "\\}";
+        break;
+
+      case "\\\\brackfrac":
+        hasBarLine = false;
+        leftDelim = "[";
+        rightDelim = "]";
+        break;
+
+      default:
+        throw new Error("Unrecognized genfrac command");
+    }
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\dbinom":
+        size = "display";
+        break;
+
+      case "\\tfrac":
+      case "\\tbinom":
+        size = "text";
+        break;
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      continued: funcName === "\\cfrac",
+      numer,
+      denom,
+      hasBarLine,
+      leftDelim,
+      rightDelim,
+      size,
+      barSize: null
+    };
+  },
+  htmlBuilder: htmlBuilder$6,
+  mathmlBuilder: mathmlBuilder$6
+}); // Infix generalized fractions -- these are not rendered directly, but replaced
+// immediately by one of the variants above.
+
+defineFunction({
+  type: "infix",
+  names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"],
+  props: {
+    numArgs: 0,
+    infix: true
+  },
+
+  handler(_ref2) {
+    let parser = _ref2.parser,
+        funcName = _ref2.funcName,
+        token = _ref2.token;
+    let replaceWith;
+
+    switch (funcName) {
+      case "\\over":
+        replaceWith = "\\frac";
+        break;
+
+      case "\\choose":
+        replaceWith = "\\binom";
+        break;
+
+      case "\\atop":
+        replaceWith = "\\\\atopfrac";
+        break;
+
+      case "\\brace":
+        replaceWith = "\\\\bracefrac";
+        break;
+
+      case "\\brack":
+        replaceWith = "\\\\brackfrac";
+        break;
+
+      default:
+        throw new Error("Unrecognized infix genfrac command");
+    }
+
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith,
+      token
+    };
+  }
+
+});
+const stylArray = ["display", "text", "script", "scriptscript"];
+
+const delimFromValue = function delimFromValue(delimString) {
+  let delim = null;
+
+  if (delimString.length > 0) {
+    delim = delimString;
+    delim = delim === "." ? null : delim;
+  }
+
+  return delim;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\genfrac"],
+  props: {
+    numArgs: 6,
+    greediness: 6,
+    argTypes: ["math", "math", "size", "text", "math", "math"]
+  },
+
+  handler(_ref3, args) {
+    let parser = _ref3.parser;
+    const numer = args[4];
+    const denom = args[5]; // Look into the parse nodes to get the desired delimiters.
+
+    let leftNode = checkNodeType(args[0], "atom");
+
+    if (leftNode) {
+      leftNode = assertAtomFamily(args[0], "open");
+    }
+
+    const leftDelim = leftNode ? delimFromValue(leftNode.text) : null;
+    let rightNode = checkNodeType(args[1], "atom");
+
+    if (rightNode) {
+      rightNode = assertAtomFamily(args[1], "close");
+    }
+
+    const rightDelim = rightNode ? delimFromValue(rightNode.text) : null;
+    const barNode = assertNodeType(args[2], "size");
+    let hasBarLine;
+    let barSize = null;
+
+    if (barNode.isBlank) {
+      // \genfrac acts differently than \above.
+      // \genfrac treats an empty size group as a signal to use a
+      // standard bar size. \above would see size = 0 and omit the bar.
+      hasBarLine = true;
+    } else {
+      barSize = barNode.value;
+      hasBarLine = barSize.number > 0;
+    } // Find out if we want displaystyle, textstyle, etc.
+
+
+    let size = "auto";
+    let styl = checkNodeType(args[3], "ordgroup");
+
+    if (styl) {
+      if (styl.body.length > 0) {
+        const textOrd = assertNodeType(styl.body[0], "textord");
+        size = stylArray[Number(textOrd.text)];
+      }
+    } else {
+      styl = assertNodeType(args[3], "textord");
+      size = stylArray[Number(styl.text)];
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer,
+      denom,
+      continued: false,
+      hasBarLine,
+      barSize,
+      leftDelim,
+      rightDelim,
+      size
+    };
+  },
+
+  htmlBuilder: htmlBuilder$6,
+  mathmlBuilder: mathmlBuilder$6
+}); // \above is an infix fraction that also defines a fraction bar size.
+
+defineFunction({
+  type: "infix",
+  names: ["\\above"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    infix: true
+  },
+
+  handler(_ref4, args) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName,
+        token = _ref4.token;
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith: "\\\\abovefrac",
+      size: assertNodeType(args[0], "size").value,
+      token
+    };
+  }
+
+});
+defineFunction({
+  type: "genfrac",
+  names: ["\\\\abovefrac"],
+  props: {
+    numArgs: 3,
+    argTypes: ["math", "size", "math"]
+  },
+  handler: (_ref5, args) => {
+    let parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    const numer = args[0];
+    const barSize = assert(assertNodeType(args[1], "infix").size);
+    const denom = args[2];
+    const hasBarLine = barSize.number > 0;
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer,
+      denom,
+      continued: false,
+      hasBarLine,
+      barSize,
+      leftDelim: null,
+      rightDelim: null,
+      size: "auto"
+    };
+  },
+  htmlBuilder: htmlBuilder$6,
+  mathmlBuilder: mathmlBuilder$6
+});
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but
+const htmlBuilder$7 = (grp, options) => {
+  const style = options.style; // Pull out the `ParseNode<"horizBrace">` if `grp` is a "supsub" node.
+
+  let supSubGroup;
+  let group;
+  const supSub = checkNodeType(grp, "supsub");
+
+  if (supSub) {
+    // Ref: LaTeX source2e: }}}}\limits}
+    // i.e. LaTeX treats the brace similar to an op and passes it
+    // with \limits, so we need to assign supsub style.
+    supSubGroup = supSub.sup ? buildGroup(supSub.sup, options.havingStyle(style.sup()), options) : buildGroup(supSub.sub, options.havingStyle(style.sub()), options);
+    group = assertNodeType(supSub.base, "horizBrace");
+  } else {
+    group = assertNodeType(grp, "horizBrace");
+  } // Build the base group
+
+
+  const body = buildGroup(group.base, options.havingBaseStyle(Style$1.DISPLAY)); // Create the stretchy element
+
+  const braceBody = stretchy.svgSpan(group, options); // Generate the vlist, with the appropriate kerns        ┏━━━━━━━━┓
+  // This first vlist contains the content and the brace:   equation
+
+  let vlist;
+
+  if (group.isOver) {
+    vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: braceBody
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: body.depth + 0.1 + braceBody.height,
+      children: [{
+        type: "elem",
+        elem: braceBody
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: body
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[0].classes.push("svg-align");
+  }
+
+  if (supSubGroup) {
+    // To write the supsub, wrap the first vlist in another vlist:
+    // They can't all go in the same vlist, because the note might be
+    // wider than the equation. We want the equation to control the
+    // brace width.
+    //      note          long note           long note
+    //   ┏━━━━━━━━┓   or    ┏━━━┓     not    ┏━━━━━━━━━┓
+    //    equation           eqn                 eqn
+    const vSpan = buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+
+    if (group.isOver) {
+      vlist = buildCommon.makeVList({
+        positionType: "firstBaseline",
+        children: [{
+          type: "elem",
+          elem: vSpan
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: supSubGroup
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "bottom",
+        positionData: vSpan.depth + 0.2 + supSubGroup.height + supSubGroup.depth,
+        children: [{
+          type: "elem",
+          elem: supSubGroup
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: vSpan
+        }]
+      }, options);
+    }
+  }
+
+  return buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+};
+
+const mathmlBuilder$7 = (group, options) => {
+  const accentNode = stretchy.mathMLnode(group.label);
+  return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildGroup$1(group.base, options), accentNode]);
+}; // Horizontal stretchy braces
+
+
+defineFunction({
+  type: "horizBrace",
+  names: ["\\overbrace", "\\underbrace"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "horizBrace",
+      mode: parser.mode,
+      label: funcName,
+      isOver: /^\\over/.test(funcName),
+      base: args[0]
+    };
+  },
+
+  htmlBuilder: htmlBuilder$7,
+  mathmlBuilder: mathmlBuilder$7
+});
+
+defineFunction({
+  type: "href",
+  names: ["\\href"],
+  props: {
+    numArgs: 2,
+    argTypes: ["url", "original"],
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    const body = args[1];
+    const href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\href",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\href");
+    }
+
+    return {
+      type: "href",
+      mode: parser.mode,
+      href,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.body, options, false);
+    return buildCommon.makeAnchor(group.href, [], elements, options);
+  },
+  mathmlBuilder: (group, options) => {
+    let math = buildExpressionRow(group.body, options);
+
+    if (!(math instanceof MathNode)) {
+      math = new MathNode("mrow", [math]);
+    }
+
+    math.setAttribute("href", group.href);
+    return math;
+  }
+});
+defineFunction({
+  type: "href",
+  names: ["\\url"],
+  props: {
+    numArgs: 1,
+    argTypes: ["url"],
+    allowedInText: true
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\url",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\url");
+    }
+
+    const chars = [];
+
+    for (let i = 0; i < href.length; i++) {
+      let c = href[i];
+
+      if (c === "~") {
+        c = "\\textasciitilde";
+      }
+
+      chars.push({
+        type: "textord",
+        mode: "text",
+        text: c
+      });
+    }
+
+    const body = {
+      type: "text",
+      mode: parser.mode,
+      font: "\\texttt",
+      body: chars
+    };
+    return {
+      type: "href",
+      mode: parser.mode,
+      href,
+      body: ordargument(body)
+    };
+  }
+});
+
+defineFunction({
+  type: "htmlmathml",
+  names: ["\\html@mathml"],
+  props: {
+    numArgs: 2,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    return {
+      type: "htmlmathml",
+      mode: parser.mode,
+      html: ordargument(args[0]),
+      mathml: ordargument(args[1])
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.html, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: (group, options) => {
+    return buildExpressionRow(group.mathml, options);
+  }
+});
+
+const sizeData = function sizeData(str) {
+  if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(str)) {
+    // str is a number with no unit specified.
+    // default unit is bp, per graphix package.
+    return {
+      number: +str,
+      unit: "bp"
+    };
+  } else {
+    const match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(str);
+
+    if (!match) {
+      throw new ParseError("Invalid size: '" + str + "' in \\includegraphics");
+    }
+
+    const data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new ParseError("Invalid unit: '" + data.unit + "' in \\includegraphics.");
+    }
+
+    return data;
+  }
+};
+
+defineFunction({
+  type: "includegraphics",
+  names: ["\\includegraphics"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    argTypes: ["raw", "url"],
+    allowedInText: false
+  },
+  handler: (_ref, args, optArgs) => {
+    let parser = _ref.parser;
+    let width = {
+      number: 0,
+      unit: "em"
+    };
+    let height = {
+      number: 0.9,
+      unit: "em"
+    }; // sorta character sized.
+
+    let totalheight = {
+      number: 0,
+      unit: "em"
+    };
+    let alt = "";
+
+    if (optArgs[0]) {
+      const attributeStr = assertNodeType(optArgs[0], "raw").string; // Parser.js does not parse key/value pairs. We get a string.
+
+      const attributes = attributeStr.split(",");
+
+      for (let i = 0; i < attributes.length; i++) {
+        const keyVal = attributes[i].split("=");
+
+        if (keyVal.length === 2) {
+          const str = keyVal[1].trim();
+
+          switch (keyVal[0].trim()) {
+            case "alt":
+              alt = str;
+              break;
+
+            case "width":
+              width = sizeData(str);
+              break;
+
+            case "height":
+              height = sizeData(str);
+              break;
+
+            case "totalheight":
+              totalheight = sizeData(str);
+              break;
+
+            default:
+              throw new ParseError("Invalid key: '" + keyVal[0] + "' in \\includegraphics.");
+          }
+        }
+      }
+    }
+
+    const src = assertNodeType(args[0], "url").url;
+
+    if (alt === "") {
+      // No alt given. Use the file name. Strip away the path.
+      alt = src;
+      alt = alt.replace(/^.*[\\/]/, '');
+      alt = alt.substring(0, alt.lastIndexOf('.'));
+    }
+
+    if (!parser.settings.isTrusted({
+      command: "\\includegraphics",
+      url: src
+    })) {
+      return parser.formatUnsupportedCmd("\\includegraphics");
+    }
+
+    return {
+      type: "includegraphics",
+      mode: parser.mode,
+      alt: alt,
+      width: width,
+      height: height,
+      totalheight: totalheight,
+      src: src
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const height = calculateSize(group.height, options);
+    let depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = calculateSize(group.totalheight, options) - height;
+      depth = Number(depth.toFixed(2));
+    }
+
+    let width = 0;
+
+    if (group.width.number > 0) {
+      width = calculateSize(group.width, options);
+    }
+
+    const style = {
+      height: height + depth + "em"
+    };
+
+    if (width > 0) {
+      style.width = width + "em";
+    }
+
+    if (depth > 0) {
+      style.verticalAlign = -depth + "em";
+    }
+
+    const node = new Img(group.src, group.alt, style);
+    node.height = height;
+    node.depth = depth;
+    return node;
+  },
+  mathmlBuilder: (group, options) => {
+    const node = new mathMLTree.MathNode("mglyph", []);
+    node.setAttribute("alt", group.alt);
+    const height = calculateSize(group.height, options);
+    let depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = calculateSize(group.totalheight, options) - height;
+      depth = depth.toFixed(2);
+      node.setAttribute("valign", "-" + depth + "em");
+    }
+
+    node.setAttribute("height", height + depth + "em");
+
+    if (group.width.number > 0) {
+      const width = calculateSize(group.width, options);
+      node.setAttribute("width", width + "em");
+    }
+
+    node.setAttribute("src", group.src);
+    return node;
+  }
+});
+
+// Horizontal spacing commands
+
+defineFunction({
+  type: "kern",
+  names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const size = assertNodeType(args[0], "size");
+
+    if (parser.settings.strict) {
+      const mathFunction = funcName[1] === 'm'; // \mkern, \mskip
+
+      const muUnit = size.value.unit === 'mu';
+
+      if (mathFunction) {
+        if (!muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", `LaTeX's ${funcName} supports only mu units, ` + `not ${size.value.unit} units`);
+        }
+
+        if (parser.mode !== "math") {
+          parser.settings.reportNonstrict("mathVsTextUnits", `LaTeX's ${funcName} works only in math mode`);
+        }
+      } else {
+        // !mathFunction
+        if (muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", `LaTeX's ${funcName} doesn't support mu units`);
+        }
+      }
+    }
+
+    return {
+      type: "kern",
+      mode: parser.mode,
+      dimension: size.value
+    };
+  },
+
+  htmlBuilder(group, options) {
+    return buildCommon.makeGlue(group.dimension, options);
+  },
+
+  mathmlBuilder(group, options) {
+    const dimension = calculateSize(group.dimension, options);
+    return new mathMLTree.SpaceNode(dimension);
+  }
+
+});
+
+// Horizontal overlap functions
+defineFunction({
+  type: "lap",
+  names: ["\\mathllap", "\\mathrlap", "\\mathclap"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "lap",
+      mode: parser.mode,
+      alignment: funcName.slice(5),
+      body
+    };
+  },
+  htmlBuilder: (group, options) => {
+    // mathllap, mathrlap, mathclap
+    let inner;
+
+    if (group.alignment === "clap") {
+      // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/
+      inner = buildCommon.makeSpan([], [buildGroup(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span
+
+      inner = buildCommon.makeSpan(["inner"], [inner], options);
+    } else {
+      inner = buildCommon.makeSpan(["inner"], [buildGroup(group.body, options)]);
+    }
+
+    const fix = buildCommon.makeSpan(["fix"], []);
+    let node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the
+    // two items involved in the lap.
+    // Next, use a strut to set the height of the HTML bounding box.
+    // Otherwise, a tall argument may be misplaced.
+
+    const strut = buildCommon.makeSpan(["strut"]);
+    strut.style.height = node.height + node.depth + "em";
+    strut.style.verticalAlign = -node.depth + "em";
+    node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall.
+
+    node = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // Get the horizontal spacing correct relative to adjacent items.
+
+    return buildCommon.makeSpan(["mord"], [node], options);
+  },
+  mathmlBuilder: (group, options) => {
+    // mathllap, mathrlap, mathclap
+    const node = new mathMLTree.MathNode("mpadded", [buildGroup$1(group.body, options)]);
+
+    if (group.alignment !== "rlap") {
+      const offset = group.alignment === "llap" ? "-1" : "-0.5";
+      node.setAttribute("lspace", offset + "width");
+    }
+
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+
+defineFunction({
+  type: "styling",
+  names: ["\\(", "$"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+
+  handler(_ref, args) {
+    let funcName = _ref.funcName,
+        parser = _ref.parser;
+    const outerMode = parser.mode;
+    parser.switchMode("math");
+    const close = funcName === "\\(" ? "\\)" : "$";
+    const body = parser.parseExpression(false, close);
+    parser.expect(close);
+    parser.switchMode(outerMode);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      style: "text",
+      body
+    };
+  }
+
+}); // Check for extra closing math delimiters
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\)", "\\]"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+
+  handler(context, args) {
+    throw new ParseError(`Mismatched ${context.funcName}`);
+  }
+
+});
+
+const chooseMathStyle = (group, options) => {
+  switch (options.style.size) {
+    case Style$1.DISPLAY.size:
+      return group.display;
+
+    case Style$1.TEXT.size:
+      return group.text;
+
+    case Style$1.SCRIPT.size:
+      return group.script;
+
+    case Style$1.SCRIPTSCRIPT.size:
+      return group.scriptscript;
+
+    default:
+      return group.text;
+  }
+};
+
+defineFunction({
+  type: "mathchoice",
+  names: ["\\mathchoice"],
+  props: {
+    numArgs: 4
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    return {
+      type: "mathchoice",
+      mode: parser.mode,
+      display: ordargument(args[0]),
+      text: ordargument(args[1]),
+      script: ordargument(args[2]),
+      scriptscript: ordargument(args[3])
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const body = chooseMathStyle(group, options);
+    const elements = buildExpression(body, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: (group, options) => {
+    const body = chooseMathStyle(group, options);
+    return buildExpressionRow(body, options);
+  }
+});
+
+// For an operator with limits, assemble the base, sup, and sub into a span.
+const assembleSupSub = (base, supGroup, subGroup, options, style, slant, baseShift) => {
+  // IE 8 clips \int if it is in a display: inline-block. We wrap it
+  // in a new span so it is an inline, and works.
+  base = buildCommon.makeSpan([], [base]);
+  let sub;
+  let sup; // We manually have to handle the superscripts and subscripts. This,
+  // aside from the kern calculations, is copied from supsub.
+
+  if (supGroup) {
+    const elem = buildGroup(supGroup, options.havingStyle(style.sup()), options);
+    sup = {
+      elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth)
+    };
+  }
+
+  if (subGroup) {
+    const elem = buildGroup(subGroup, options.havingStyle(style.sub()), options);
+    sub = {
+      elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing2, options.fontMetrics().bigOpSpacing4 - elem.height)
+    };
+  } // Build the final group as a vlist of the possible subscript, base,
+  // and possible superscript.
+
+
+  let finalGroup;
+
+  if (sup && sub) {
+    const bottom = options.fontMetrics().bigOpSpacing5 + sub.elem.height + sub.elem.depth + sub.kern + base.depth + baseShift;
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: bottom,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else if (sub) {
+    const top = base.height - baseShift; // Shift the limits by the slant of the symbol. Note
+    // that we are supposed to shift the limits by 1/2 of the slant,
+    // but since we are centering the limits adding a full slant of
+    // margin will shift by 1/2 that.
+
+    finalGroup = buildCommon.makeVList({
+      positionType: "top",
+      positionData: top,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }]
+    }, options);
+  } else if (sup) {
+    const bottom = base.depth + baseShift;
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: bottom,
+      children: [{
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else {
+    // This case probably shouldn't occur (this would mean the
+    // supsub was sending us a group with no superscript or
+    // subscript) but be safe.
+    return base;
+  }
+
+  return buildCommon.makeSpan(["mop", "op-limits"], [finalGroup], options);
+};
+
+// Limits, symbols
+// Most operators have a large successor symbol, but these don't.
+const noSuccessor = ["\\smallint"]; // NOTE: Unlike most `htmlBuilder`s, this one handles not only "op", but also
+// "supsub" since some of them (like \int) can affect super/subscripting.
+
+const htmlBuilder$8 = (grp, options) => {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  let supGroup;
+  let subGroup;
+  let hasLimits = false;
+  let group;
+  const supSub = checkNodeType(grp, "supsub");
+
+  if (supSub) {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = supSub.sup;
+    subGroup = supSub.sub;
+    group = assertNodeType(supSub.base, "op");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "op");
+  }
+
+  const style = options.style;
+  let large = false;
+
+  if (style.size === Style$1.DISPLAY.size && group.symbol && !utils.contains(noSuccessor, group.name)) {
+    // Most symbol operators get larger in displaystyle (rule 13)
+    large = true;
+  }
+
+  let base;
+
+  if (group.symbol) {
+    // If this is a symbol, create the symbol.
+    const fontName = large ? "Size2-Regular" : "Size1-Regular";
+    let stash = "";
+
+    if (group.name === "\\oiint" || group.name === "\\oiiint") {
+      // No font glyphs yet, so use a glyph w/o the oval.
+      // TODO: When font glyphs are available, delete this code.
+      stash = group.name.substr(1); // $FlowFixMe
+
+      group.name = stash === "oiint" ? "\\iint" : "\\iiint";
+    }
+
+    base = buildCommon.makeSymbol(group.name, fontName, "math", options, ["mop", "op-symbol", large ? "large-op" : "small-op"]);
+
+    if (stash.length > 0) {
+      // We're in \oiint or \oiiint. Overlay the oval.
+      // TODO: When font glyphs are available, delete this code.
+      const italic = base.italic;
+      const oval = buildCommon.staticSvg(stash + "Size" + (large ? "2" : "1"), options);
+      base = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: base,
+          shift: 0
+        }, {
+          type: "elem",
+          elem: oval,
+          shift: large ? 0.08 : 0
+        }]
+      }, options); // $FlowFixMe
+
+      group.name = "\\" + stash;
+      base.classes.unshift("mop"); // $FlowFixMe
+
+      base.italic = italic;
+    }
+  } else if (group.body) {
+    // If this is a list, compose that list.
+    const inner = buildExpression(group.body, options, true);
+
+    if (inner.length === 1 && inner[0] instanceof SymbolNode) {
+      base = inner[0];
+      base.classes[0] = "mop"; // replace old mclass
+    } else {
+      base = buildCommon.makeSpan(["mop"], buildCommon.tryCombineChars(inner), options);
+    }
+  } else {
+    // Otherwise, this is a text operator. Build the text from the
+    // operator's name.
+    // TODO(emily): Add a space in the middle of some of these
+    // operators, like \limsup
+    const output = [];
+
+    for (let i = 1; i < group.name.length; i++) {
+      output.push(buildCommon.mathsym(group.name[i], group.mode, options));
+    }
+
+    base = buildCommon.makeSpan(["mop"], output, options);
+  } // If content of op is a single symbol, shift it vertically.
+
+
+  let baseShift = 0;
+  let slant = 0;
+
+  if ((base instanceof SymbolNode || group.name === "\\oiint" || group.name === "\\oiiint") && !group.suppressBaseShift) {
+    // We suppress the shift of the base of \overset and \underset. Otherwise,
+    // shift the symbol so its center lies on the axis (rule 13). It
+    // appears that our fonts have the centers of the symbols already
+    // almost on the axis, so these numbers are very small. Note we
+    // don't actually apply this here, but instead it is used either in
+    // the vlist creation or separately when there are no limits.
+    baseShift = (base.height - base.depth) / 2 - options.fontMetrics().axisHeight; // The slant of the symbol is just its italic correction.
+    // $FlowFixMe
+
+    slant = base.italic;
+  }
+
+  if (hasLimits) {
+    return assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift);
+  } else {
+    if (baseShift) {
+      base.style.position = "relative";
+      base.style.top = baseShift + "em";
+    }
+
+    return base;
+  }
+};
+
+const mathmlBuilder$8 = (group, options) => {
+  let node;
+
+  if (group.symbol) {
+    // This is a symbol. Just add the symbol.
+    node = new MathNode("mo", [makeText(group.name, group.mode)]);
+
+    if (utils.contains(noSuccessor, group.name)) {
+      node.setAttribute("largeop", "false");
+    }
+  } else if (group.body) {
+    // This is an operator with children. Add them.
+    node = new MathNode("mo", buildExpression$1(group.body, options));
+  } else {
+    // This is a text operator. Add all of the characters from the
+    // operator's name.
+    node = new MathNode("mi", [new TextNode(group.name.slice(1))]); // Append an <mo>&ApplyFunction;</mo>.
+    // ref: https://www.w3.org/TR/REC-MathML/chap3_2.html#sec3.2.4
+
+    const operator = new MathNode("mo", [makeText("\u2061", "text")]);
+
+    if (group.parentIsSupSub) {
+      node = new MathNode("mo", [node, operator]);
+    } else {
+      node = newDocumentFragment([node, operator]);
+    }
+  }
+
+  return node;
+};
+
+const singleCharBigOps = {
+  "\u220F": "\\prod",
+  "\u2210": "\\coprod",
+  "\u2211": "\\sum",
+  "\u22c0": "\\bigwedge",
+  "\u22c1": "\\bigvee",
+  "\u22c2": "\\bigcap",
+  "\u22c3": "\\bigcup",
+  "\u2a00": "\\bigodot",
+  "\u2a01": "\\bigoplus",
+  "\u2a02": "\\bigotimes",
+  "\u2a04": "\\biguplus",
+  "\u2a06": "\\bigsqcup"
+};
+defineFunction({
+  type: "op",
+  names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "\u220F", "\u2210", "\u2211", "\u22c0", "\u22c1", "\u22c2", "\u22c3", "\u2a00", "\u2a01", "\u2a02", "\u2a04", "\u2a06"],
+  props: {
+    numArgs: 0
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    let fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharBigOps[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // Note: calling defineFunction with a type that's already been defined only
+// works because the same htmlBuilder and mathmlBuilder are being used.
+
+defineFunction({
+  type: "op",
+  names: ["\\mathop"],
+  props: {
+    numArgs: 1
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const body = args[0];
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // There are 2 flags for operators; whether they produce limits in
+// displaystyle, and whether they are symbols and should grow in
+// displaystyle. These four groups cover the four possible choices.
+
+const singleCharIntegrals = {
+  "\u222b": "\\int",
+  "\u222c": "\\iint",
+  "\u222d": "\\iiint",
+  "\u222e": "\\oint",
+  "\u222f": "\\oiint",
+  "\u2230": "\\oiiint"
+}; // No limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg", "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg", "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp", "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(_ref3) {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // Limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(_ref4) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // No limits, symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222b", "\u222c", "\u222d", "\u222e", "\u222f", "\u2230"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(_ref5) {
+    let parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    let fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharIntegrals[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+});
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only
+// "operatorname", but also  "supsub" since \operatorname* can
+const htmlBuilder$9 = (grp, options) => {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  let supGroup;
+  let subGroup;
+  let hasLimits = false;
+  let group;
+  const supSub = checkNodeType(grp, "supsub");
+
+  if (supSub) {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = supSub.sup;
+    subGroup = supSub.sub;
+    group = assertNodeType(supSub.base, "operatorname");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "operatorname");
+  }
+
+  let base;
+
+  if (group.body.length > 0) {
+    const body = group.body.map(child => {
+      // $FlowFixMe: Check if the node has a string `text` property.
+      const childText = child.text;
+
+      if (typeof childText === "string") {
+        return {
+          type: "textord",
+          mode: child.mode,
+          text: childText
+        };
+      } else {
+        return child;
+      }
+    }); // Consolidate function names into symbol characters.
+
+    const expression = buildExpression(body, options.withFont("mathrm"), true);
+
+    for (let i = 0; i < expression.length; i++) {
+      const child = expression[i];
+
+      if (child instanceof SymbolNode) {
+        // Per amsopn package,
+        // change minus to hyphen and \ast to asterisk
+        child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+      }
+    }
+
+    base = buildCommon.makeSpan(["mop"], expression, options);
+  } else {
+    base = buildCommon.makeSpan(["mop"], [], options);
+  }
+
+  if (hasLimits) {
+    return assembleSupSub(base, supGroup, subGroup, options, options.style, 0, 0);
+  } else {
+    return base;
+  }
+};
+
+const mathmlBuilder$9 = (group, options) => {
+  // The steps taken here are similar to the html version.
+  let expression = buildExpression$1(group.body, options.withFont("mathrm")); // Is expression a string or has it something like a fraction?
+
+  let isAllString = true; // default
+
+  for (let i = 0; i < expression.length; i++) {
+    const node = expression[i];
+
+    if (node instanceof mathMLTree.SpaceNode) ; else if (node instanceof mathMLTree.MathNode) {
+      switch (node.type) {
+        case "mi":
+        case "mn":
+        case "ms":
+        case "mspace":
+        case "mtext":
+          break;
+        // Do nothing yet.
+
+        case "mo":
+          {
+            const child = node.children[0];
+
+            if (node.children.length === 1 && child instanceof mathMLTree.TextNode) {
+              child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+            } else {
+              isAllString = false;
+            }
+
+            break;
+          }
+
+        default:
+          isAllString = false;
+      }
+    } else {
+      isAllString = false;
+    }
+  }
+
+  if (isAllString) {
+    // Write a single TextNode instead of multiple nested tags.
+    const word = expression.map(node => node.toText()).join("");
+    expression = [new mathMLTree.TextNode(word)];
+  }
+
+  const identifier = new mathMLTree.MathNode("mi", expression);
+  identifier.setAttribute("mathvariant", "normal"); // \u2061 is the same as &ApplyFunction;
+  // ref: https://www.w3schools.com/charsets/ref_html_entities_a.asp
+
+  const operator = new mathMLTree.MathNode("mo", [makeText("\u2061", "text")]);
+
+  if (group.parentIsSupSub) {
+    return new mathMLTree.MathNode("mo", [identifier, operator]);
+  } else {
+    return mathMLTree.newDocumentFragment([identifier, operator]);
+  }
+}; // \operatorname
+// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@
+
+
+defineFunction({
+  type: "operatorname",
+  names: ["\\operatorname", "\\operatorname*"],
+  props: {
+    numArgs: 1
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "operatorname",
+      mode: parser.mode,
+      body: ordargument(body),
+      alwaysHandleSupSub: funcName === "\\operatorname*",
+      limits: false,
+      parentIsSupSub: false
+    };
+  },
+  htmlBuilder: htmlBuilder$9,
+  mathmlBuilder: mathmlBuilder$9
+});
+
+defineFunctionBuilders({
+  type: "ordgroup",
+
+  htmlBuilder(group, options) {
+    if (group.semisimple) {
+      return buildCommon.makeFragment(buildExpression(group.body, options, false));
+    }
+
+    return buildCommon.makeSpan(["mord"], buildExpression(group.body, options, true), options);
+  },
+
+  mathmlBuilder(group, options) {
+    return buildExpressionRow(group.body, options, true);
+  }
+
+});
+
+defineFunction({
+  type: "overline",
+  names: ["\\overline"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const body = args[0];
+    return {
+      type: "overline",
+      mode: parser.mode,
+      body
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Overlines are handled in the TeXbook pg 443, Rule 9.
+    // Build the inner group in the cramped style.
+    const innerGroup = buildGroup(group.body, options.havingCrampedStyle()); // Create the line above the body
+
+    const line = buildCommon.makeLineSpan("overline-line", options); // Generate the vlist, with the appropriate kerns
+
+    const defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    const vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: innerGroup
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: defaultRuleThickness
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "overline"], [vlist], options);
+  },
+
+  mathmlBuilder(group, options) {
+    const operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]);
+    operator.setAttribute("stretchy", "true");
+    const node = new mathMLTree.MathNode("mover", [buildGroup$1(group.body, options), operator]);
+    node.setAttribute("accent", "true");
+    return node;
+  }
+
+});
+
+defineFunction({
+  type: "phantom",
+  names: ["\\phantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    const body = args[0];
+    return {
+      type: "phantom",
+      mode: parser.mode,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.body, options.withPhantom(), false); // \phantom isn't supposed to affect the elements it contains.
+    // See "color" for more details.
+
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: (group, options) => {
+    const inner = buildExpression$1(group.body, options);
+    return new mathMLTree.MathNode("mphantom", inner);
+  }
+});
+defineFunction({
+  type: "hphantom",
+  names: ["\\hphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const body = args[0];
+    return {
+      type: "hphantom",
+      mode: parser.mode,
+      body
+    };
+  },
+  htmlBuilder: (group, options) => {
+    let node = buildCommon.makeSpan([], [buildGroup(group.body, options.withPhantom())]);
+    node.height = 0;
+    node.depth = 0;
+
+    if (node.children) {
+      for (let i = 0; i < node.children.length; i++) {
+        node.children[i].height = 0;
+        node.children[i].depth = 0;
+      }
+    } // See smash for comment re: use of makeVList
+
+
+    node = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \smash as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [node], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const inner = buildExpression$1(ordargument(group.body), options);
+    const phantom = new mathMLTree.MathNode("mphantom", inner);
+    const node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("height", "0px");
+    node.setAttribute("depth", "0px");
+    return node;
+  }
+});
+defineFunction({
+  type: "vphantom",
+  names: ["\\vphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref3, args) => {
+    let parser = _ref3.parser;
+    const body = args[0];
+    return {
+      type: "vphantom",
+      mode: parser.mode,
+      body
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const inner = buildCommon.makeSpan(["inner"], [buildGroup(group.body, options.withPhantom())]);
+    const fix = buildCommon.makeSpan(["fix"], []);
+    return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const inner = buildExpression$1(ordargument(group.body), options);
+    const phantom = new mathMLTree.MathNode("mphantom", inner);
+    const node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+
+defineFunction({
+  type: "raisebox",
+  names: ["\\raisebox"],
+  props: {
+    numArgs: 2,
+    argTypes: ["size", "hbox"],
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const amount = assertNodeType(args[0], "size").value;
+    const body = args[1];
+    return {
+      type: "raisebox",
+      mode: parser.mode,
+      dy: amount,
+      body
+    };
+  },
+
+  htmlBuilder(group, options) {
+    const body = buildGroup(group.body, options);
+    const dy = calculateSize(group.dy, options);
+    return buildCommon.makeVList({
+      positionType: "shift",
+      positionData: -dy,
+      children: [{
+        type: "elem",
+        elem: body
+      }]
+    }, options);
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mpadded", [buildGroup$1(group.body, options)]);
+    const dy = group.dy.number + group.dy.unit;
+    node.setAttribute("voffset", dy);
+    return node;
+  }
+
+});
+
+defineFunction({
+  type: "rule",
+  names: ["\\rule"],
+  props: {
+    numArgs: 2,
+    numOptionalArgs: 1,
+    argTypes: ["size", "size", "size"]
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser;
+    const shift = optArgs[0];
+    const width = assertNodeType(args[0], "size");
+    const height = assertNodeType(args[1], "size");
+    return {
+      type: "rule",
+      mode: parser.mode,
+      shift: shift && assertNodeType(shift, "size").value,
+      width: width.value,
+      height: height.value
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Make an empty span for the rule
+    const rule = buildCommon.makeSpan(["mord", "rule"], [], options); // Calculate the shift, width, and height of the rule, and account for units
+
+    const width = calculateSize(group.width, options);
+    const height = calculateSize(group.height, options);
+    const shift = group.shift ? calculateSize(group.shift, options) : 0; // Style the rule to the right size
+
+    rule.style.borderRightWidth = width + "em";
+    rule.style.borderTopWidth = height + "em";
+    rule.style.bottom = shift + "em"; // Record the height and width
+
+    rule.width = width;
+    rule.height = height + shift;
+    rule.depth = -shift; // Font size is the number large enough that the browser will
+    // reserve at least `absHeight` space above the baseline.
+    // The 1.125 factor was empirically determined
+
+    rule.maxFontSize = height * 1.125 * options.sizeMultiplier;
+    return rule;
+  },
+
+  mathmlBuilder(group, options) {
+    const width = calculateSize(group.width, options);
+    const height = calculateSize(group.height, options);
+    const shift = group.shift ? calculateSize(group.shift, options) : 0;
+    const color = options.color && options.getColor() || "black";
+    const rule = new mathMLTree.MathNode("mspace");
+    rule.setAttribute("mathbackground", color);
+    rule.setAttribute("width", width + "em");
+    rule.setAttribute("height", height + "em");
+    const wrapper = new mathMLTree.MathNode("mpadded", [rule]);
+
+    if (shift >= 0) {
+      wrapper.setAttribute("height", "+" + shift + "em");
+    } else {
+      wrapper.setAttribute("height", shift + "em");
+      wrapper.setAttribute("depth", "+" + -shift + "em");
+    }
+
+    wrapper.setAttribute("voffset", shift + "em");
+    return wrapper;
+  }
+
+});
+
+function sizingGroup(value, options, baseOptions) {
+  const inner = buildExpression(value, options, false);
+  const multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; // Add size-resetting classes to the inner list and set maxFontSize
+  // manually. Handle nested size changes.
+
+  for (let i = 0; i < inner.length; i++) {
+    const pos = inner[i].classes.indexOf("sizing");
+
+    if (pos < 0) {
+      Array.prototype.push.apply(inner[i].classes, options.sizingClasses(baseOptions));
+    } else if (inner[i].classes[pos + 1] === "reset-size" + options.size) {
+      // This is a nested size change: e.g., inner[i] is the "b" in
+      // `\Huge a \small b`. Override the old size (the `reset-` class)
+      // but not the new size.
+      inner[i].classes[pos + 1] = "reset-size" + baseOptions.size;
+    }
+
+    inner[i].height *= multiplier;
+    inner[i].depth *= multiplier;
+  }
+
+  return buildCommon.makeFragment(inner);
+}
+const sizeFuncs = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"];
+const htmlBuilder$a = (group, options) => {
+  // Handle sizing operators like \Huge. Real TeX doesn't actually allow
+  // these functions inside of math expressions, so we do some special
+  // handling.
+  const newOptions = options.havingSize(group.size);
+  return sizingGroup(group.body, newOptions, options);
+};
+defineFunction({
+  type: "sizing",
+  names: sizeFuncs,
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    const body = parser.parseExpression(false, breakOnTokenText);
+    return {
+      type: "sizing",
+      mode: parser.mode,
+      // Figure out what size to use based on the list of functions above
+      size: sizeFuncs.indexOf(funcName) + 1,
+      body
+    };
+  },
+  htmlBuilder: htmlBuilder$a,
+  mathmlBuilder: (group, options) => {
+    const newOptions = options.havingSize(group.size);
+    const inner = buildExpression$1(group.body, newOptions);
+    const node = new mathMLTree.MathNode("mstyle", inner); // TODO(emily): This doesn't produce the correct size for nested size
+    // changes, because we don't keep state of what style we're currently
+    // in, so we can't reset the size to normal before changing it.  Now
+    // that we're passing an options parameter we should be able to fix
+    // this.
+
+    node.setAttribute("mathsize", newOptions.sizeMultiplier + "em");
+    return node;
+  }
+});
+
+// smash, with optional [tb], as in AMS
+defineFunction({
+  type: "smash",
+  names: ["\\smash"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref, args, optArgs) => {
+    let parser = _ref.parser;
+    let smashHeight = false;
+    let smashDepth = false;
+    const tbArg = optArgs[0] && assertNodeType(optArgs[0], "ordgroup");
+
+    if (tbArg) {
+      // Optional [tb] argument is engaged.
+      // ref: amsmath: \renewcommand{\smash}[1][tb]{%
+      //               def\mb@t{\ht}\def\mb@b{\dp}\def\mb@tb{\ht\z@\z@\dp}%
+      let letter = "";
+
+      for (let i = 0; i < tbArg.body.length; ++i) {
+        const node = tbArg.body[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+        letter = node.text;
+
+        if (letter === "t") {
+          smashHeight = true;
+        } else if (letter === "b") {
+          smashDepth = true;
+        } else {
+          smashHeight = false;
+          smashDepth = false;
+          break;
+        }
+      }
+    } else {
+      smashHeight = true;
+      smashDepth = true;
+    }
+
+    const body = args[0];
+    return {
+      type: "smash",
+      mode: parser.mode,
+      body,
+      smashHeight,
+      smashDepth
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const node = buildCommon.makeSpan([], [buildGroup(group.body, options)]);
+
+    if (!group.smashHeight && !group.smashDepth) {
+      return node;
+    }
+
+    if (group.smashHeight) {
+      node.height = 0; // In order to influence makeVList, we have to reset the children.
+
+      if (node.children) {
+        for (let i = 0; i < node.children.length; i++) {
+          node.children[i].height = 0;
+        }
+      }
+    }
+
+    if (group.smashDepth) {
+      node.depth = 0;
+
+      if (node.children) {
+        for (let i = 0; i < node.children.length; i++) {
+          node.children[i].depth = 0;
+        }
+      }
+    } // At this point, we've reset the TeX-like height and depth values.
+    // But the span still has an HTML line height.
+    // makeVList applies "display: table-cell", which prevents the browser
+    // from acting on that line height. So we'll call makeVList now.
+
+
+    const smashedNode = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \hphantom as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [smashedNode], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const node = new mathMLTree.MathNode("mpadded", [buildGroup$1(group.body, options)]);
+
+    if (group.smashHeight) {
+      node.setAttribute("height", "0px");
+    }
+
+    if (group.smashDepth) {
+      node.setAttribute("depth", "0px");
+    }
+
+    return node;
+  }
+});
+
+defineFunction({
+  type: "sqrt",
+  names: ["\\sqrt"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser;
+    const index = optArgs[0];
+    const body = args[0];
+    return {
+      type: "sqrt",
+      mode: parser.mode,
+      body,
+      index
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Square roots are handled in the TeXbook pg. 443, Rule 11.
+    // First, we do the same steps as in overline to build the inner group
+    // and line
+    let inner = buildGroup(group.body, options.havingCrampedStyle());
+
+    if (inner.height === 0) {
+      // Render a small surd.
+      inner.height = options.fontMetrics().xHeight;
+    } // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+
+    inner = buildCommon.wrapFragment(inner, options); // Calculate the minimum size for the \surd delimiter
+
+    const metrics = options.fontMetrics();
+    const theta = metrics.defaultRuleThickness;
+    let phi = theta;
+
+    if (options.style.id < Style$1.TEXT.id) {
+      phi = options.fontMetrics().xHeight;
+    } // Calculate the clearance between the body and line
+
+
+    let lineClearance = theta + phi / 4;
+    const minDelimiterHeight = inner.height + inner.depth + lineClearance + theta; // Create a sqrt SVG of the required minimum size
+
+    const _delimiter$sqrtImage = delimiter.sqrtImage(minDelimiterHeight, options),
+          img = _delimiter$sqrtImage.span,
+          ruleWidth = _delimiter$sqrtImage.ruleWidth,
+          advanceWidth = _delimiter$sqrtImage.advanceWidth;
+
+    const delimDepth = img.height - ruleWidth; // Adjust the clearance based on the delimiter size
+
+    if (delimDepth > inner.height + inner.depth + lineClearance) {
+      lineClearance = (lineClearance + delimDepth - inner.height - inner.depth) / 2;
+    } // Shift the sqrt image
+
+
+    const imgShift = img.height - inner.height - lineClearance - ruleWidth;
+    inner.style.paddingLeft = advanceWidth + "em"; // Overlay the image and the argument.
+
+    const body = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: inner,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: -(inner.height + imgShift)
+      }, {
+        type: "elem",
+        elem: img
+      }, {
+        type: "kern",
+        size: ruleWidth
+      }]
+    }, options);
+
+    if (!group.index) {
+      return buildCommon.makeSpan(["mord", "sqrt"], [body], options);
+    } else {
+      // Handle the optional root index
+      // The index is always in scriptscript style
+      const newOptions = options.havingStyle(Style$1.SCRIPTSCRIPT);
+      const rootm = buildGroup(group.index, newOptions, options); // The amount the index is shifted by. This is taken from the TeX
+      // source, in the definition of `\r@@t`.
+
+      const toShift = 0.6 * (body.height - body.depth); // Build a VList with the superscript shifted up correctly
+
+      const rootVList = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -toShift,
+        children: [{
+          type: "elem",
+          elem: rootm
+        }]
+      }, options); // Add a class surrounding it so we can add on the appropriate
+      // kerning
+
+      const rootVListWrap = buildCommon.makeSpan(["root"], [rootVList]);
+      return buildCommon.makeSpan(["mord", "sqrt"], [rootVListWrap, body], options);
+    }
+  },
+
+  mathmlBuilder(group, options) {
+    const body = group.body,
+          index = group.index;
+    return index ? new mathMLTree.MathNode("mroot", [buildGroup$1(body, options), buildGroup$1(index, options)]) : new mathMLTree.MathNode("msqrt", [buildGroup$1(body, options)]);
+  }
+
+});
+
+const styleMap$1 = {
+  "display": Style$1.DISPLAY,
+  "text": Style$1.TEXT,
+  "script": Style$1.SCRIPT,
+  "scriptscript": Style$1.SCRIPTSCRIPT
+};
+defineFunction({
+  type: "styling",
+  names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    // parse out the implicit body
+    const body = parser.parseExpression(true, breakOnTokenText); // TODO: Refactor to avoid duplicating styleMap in multiple places (e.g.
+    // here and in buildHTML and de-dupe the enumeration of all the styles).
+    // $FlowFixMe: The names above exactly match the styles.
+
+    const style = funcName.slice(1, funcName.length - 5);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      // Figure out what style to use by pulling out the style from
+      // the function name
+      style,
+      body
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Style changes are handled in the TeXbook on pg. 442, Rule 3.
+    const newStyle = styleMap$1[group.style];
+    const newOptions = options.havingStyle(newStyle).withFont('');
+    return sizingGroup(group.body, newOptions, options);
+  },
+
+  mathmlBuilder(group, options) {
+    // Figure out what style we're changing to.
+    const newStyle = styleMap$1[group.style];
+    const newOptions = options.havingStyle(newStyle);
+    const inner = buildExpression$1(group.body, newOptions);
+    const node = new mathMLTree.MathNode("mstyle", inner);
+    const styleAttributes = {
+      "display": ["0", "true"],
+      "text": ["0", "false"],
+      "script": ["1", "false"],
+      "scriptscript": ["2", "false"]
+    };
+    const attr = styleAttributes[group.style];
+    node.setAttribute("scriptlevel", attr[0]);
+    node.setAttribute("displaystyle", attr[1]);
+    return node;
+  }
+
+});
+
+/**
+ * Sometimes, groups perform special rules when they have superscripts or
+ * subscripts attached to them. This function lets the `supsub` group know that
+ * Sometimes, groups perform special rules when they have superscripts or
+ * its inner element should handle the superscripts and subscripts instead of
+ * handling them itself.
+ */
+const htmlBuilderDelegate = function htmlBuilderDelegate(group, options) {
+  const base = group.base;
+
+  if (!base) {
+    return null;
+  } else if (base.type === "op") {
+    // Operators handle supsubs differently when they have limits
+    // (e.g. `\displaystyle\sum_2^3`)
+    const delegate = base.limits && (options.style.size === Style$1.DISPLAY.size || base.alwaysHandleSupSub);
+    return delegate ? htmlBuilder$8 : null;
+  } else if (base.type === "operatorname") {
+    const delegate = base.alwaysHandleSupSub && (options.style.size === Style$1.DISPLAY.size || base.limits);
+    return delegate ? htmlBuilder$9 : null;
+  } else if (base.type === "accent") {
+    return utils.isCharacterBox(base.base) ? htmlBuilder : null;
+  } else if (base.type === "horizBrace") {
+    const isSup = !group.sub;
+    return isSup === base.isOver ? htmlBuilder$7 : null;
+  } else {
+    return null;
+  }
+}; // Super scripts and subscripts, whose precise placement can depend on other
+// functions that precede them.
+
+
+defineFunctionBuilders({
+  type: "supsub",
+
+  htmlBuilder(group, options) {
+    // Superscript and subscripts are handled in the TeXbook on page
+    // 445-446, rules 18(a-f).
+    // Here is where we defer to the inner group if it should handle
+    // superscripts and subscripts itself.
+    const builderDelegate = htmlBuilderDelegate(group, options);
+
+    if (builderDelegate) {
+      return builderDelegate(group, options);
+    }
+
+    const valueBase = group.base,
+          valueSup = group.sup,
+          valueSub = group.sub;
+    const base = buildGroup(valueBase, options);
+    let supm;
+    let subm;
+    const metrics = options.fontMetrics(); // Rule 18a
+
+    let supShift = 0;
+    let subShift = 0;
+    const isCharacterBox = valueBase && utils.isCharacterBox(valueBase);
+
+    if (valueSup) {
+      const newOptions = options.havingStyle(options.style.sup());
+      supm = buildGroup(valueSup, newOptions, options);
+
+      if (!isCharacterBox) {
+        supShift = base.height - newOptions.fontMetrics().supDrop * newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    }
+
+    if (valueSub) {
+      const newOptions = options.havingStyle(options.style.sub());
+      subm = buildGroup(valueSub, newOptions, options);
+
+      if (!isCharacterBox) {
+        subShift = base.depth + newOptions.fontMetrics().subDrop * newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    } // Rule 18c
+
+
+    let minSupShift;
+
+    if (options.style === Style$1.DISPLAY) {
+      minSupShift = metrics.sup1;
+    } else if (options.style.cramped) {
+      minSupShift = metrics.sup3;
+    } else {
+      minSupShift = metrics.sup2;
+    } // scriptspace is a font-size-independent size, so scale it
+    // appropriately for use as the marginRight.
+
+
+    const multiplier = options.sizeMultiplier;
+    const marginRight = 0.5 / metrics.ptPerEm / multiplier + "em";
+    let marginLeft = null;
+
+    if (subm) {
+      // Subscripts shouldn't be shifted by the base's italic correction.
+      // Account for that by shifting the subscript back the appropriate
+      // amount. Note we only do this when the base is a single symbol.
+      const isOiint = group.base && group.base.type === "op" && group.base.name && (group.base.name === "\\oiint" || group.base.name === "\\oiiint");
+
+      if (base instanceof SymbolNode || isOiint) {
+        // $FlowFixMe
+        marginLeft = -base.italic + "em";
+      }
+    }
+
+    let supsub;
+
+    if (supm && subm) {
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      subShift = Math.max(subShift, metrics.sub2);
+      const ruleWidth = metrics.defaultRuleThickness; // Rule 18e
+
+      const maxWidth = 4 * ruleWidth;
+
+      if (supShift - supm.depth - (subm.height - subShift) < maxWidth) {
+        subShift = maxWidth - (supShift - supm.depth) + subm.height;
+        const psi = 0.8 * metrics.xHeight - (supShift - supm.depth);
+
+        if (psi > 0) {
+          supShift += psi;
+          subShift -= psi;
+        }
+      }
+
+      const vlistElem = [{
+        type: "elem",
+        elem: subm,
+        shift: subShift,
+        marginRight,
+        marginLeft
+      }, {
+        type: "elem",
+        elem: supm,
+        shift: -supShift,
+        marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: vlistElem
+      }, options);
+    } else if (subm) {
+      // Rule 18b
+      subShift = Math.max(subShift, metrics.sub1, subm.height - 0.8 * metrics.xHeight);
+      const vlistElem = [{
+        type: "elem",
+        elem: subm,
+        marginLeft,
+        marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: subShift,
+        children: vlistElem
+      }, options);
+    } else if (supm) {
+      // Rule 18c, d
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -supShift,
+        children: [{
+          type: "elem",
+          elem: supm,
+          marginRight
+        }]
+      }, options);
+    } else {
+      throw new Error("supsub must have either sup or sub.");
+    } // Wrap the supsub vlist in a span.msupsub to reset text-align.
+
+
+    const mclass = getTypeOfDomTree(base, "right") || "mord";
+    return buildCommon.makeSpan([mclass], [base, buildCommon.makeSpan(["msupsub"], [supsub])], options);
+  },
+
+  mathmlBuilder(group, options) {
+    // Is the inner group a relevant horizonal brace?
+    let isBrace = false;
+    let isOver;
+    let isSup;
+    const horizBrace = checkNodeType(group.base, "horizBrace");
+
+    if (horizBrace) {
+      isSup = !!group.sup;
+
+      if (isSup === horizBrace.isOver) {
+        isBrace = true;
+        isOver = horizBrace.isOver;
+      }
+    }
+
+    if (group.base && (group.base.type === "op" || group.base.type === "operatorname")) {
+      group.base.parentIsSupSub = true;
+    }
+
+    const children = [buildGroup$1(group.base, options)];
+
+    if (group.sub) {
+      children.push(buildGroup$1(group.sub, options));
+    }
+
+    if (group.sup) {
+      children.push(buildGroup$1(group.sup, options));
+    }
+
+    let nodeType;
+
+    if (isBrace) {
+      nodeType = isOver ? "mover" : "munder";
+    } else if (!group.sub) {
+      const base = group.base;
+
+      if (base && base.type === "op" && base.limits && (options.style === Style$1.DISPLAY || base.alwaysHandleSupSub)) {
+        nodeType = "mover";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === Style$1.DISPLAY)) {
+        nodeType = "mover";
+      } else {
+        nodeType = "msup";
+      }
+    } else if (!group.sup) {
+      const base = group.base;
+
+      if (base && base.type === "op" && base.limits && (options.style === Style$1.DISPLAY || base.alwaysHandleSupSub)) {
+        nodeType = "munder";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === Style$1.DISPLAY)) {
+        nodeType = "munder";
+      } else {
+        nodeType = "msub";
+      }
+    } else {
+      const base = group.base;
+
+      if (base && base.type === "op" && base.limits && options.style === Style$1.DISPLAY) {
+        nodeType = "munderover";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (options.style === Style$1.DISPLAY || base.limits)) {
+        nodeType = "munderover";
+      } else {
+        nodeType = "msubsup";
+      }
+    }
+
+    const node = new mathMLTree.MathNode(nodeType, children);
+    return node;
+  }
+
+});
+
+defineFunctionBuilders({
+  type: "atom",
+
+  htmlBuilder(group, options) {
+    return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]);
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mo", [makeText(group.text, group.mode)]);
+
+    if (group.family === "bin") {
+      const variant = getVariant(group, options);
+
+      if (variant === "bold-italic") {
+        node.setAttribute("mathvariant", variant);
+      }
+    } else if (group.family === "punct") {
+      node.setAttribute("separator", "true");
+    } else if (group.family === "open" || group.family === "close") {
+      // Delims built here should not stretch vertically.
+      // See delimsizing.js for stretchy delims.
+      node.setAttribute("stretchy", "false");
+    }
+
+    return node;
+  }
+
+});
+
+// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in
+const defaultVariant = {
+  "mi": "italic",
+  "mn": "normal",
+  "mtext": "normal"
+};
+defineFunctionBuilders({
+  type: "mathord",
+
+  htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "mathord");
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mi", [makeText(group.text, group.mode, options)]);
+    const variant = getVariant(group, options) || "italic";
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+
+});
+defineFunctionBuilders({
+  type: "textord",
+
+  htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "textord");
+  },
+
+  mathmlBuilder(group, options) {
+    const text = makeText(group.text, group.mode, options);
+    const variant = getVariant(group, options) || "normal";
+    let node;
+
+    if (group.mode === 'text') {
+      node = new mathMLTree.MathNode("mtext", [text]);
+    } else if (/[0-9]/.test(group.text)) {
+      // TODO(kevinb) merge adjacent <mn> nodes
+      // do it as a post processing step
+      node = new mathMLTree.MathNode("mn", [text]);
+    } else if (group.text === "\\prime") {
+      node = new mathMLTree.MathNode("mo", [text]);
+    } else {
+      node = new mathMLTree.MathNode("mi", [text]);
+    }
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+
+});
+
+const cssSpace = {
+  "\\nobreak": "nobreak",
+  "\\allowbreak": "allowbreak"
+}; // A lookup table to determine whether a spacing function/symbol should be
+// treated like a regular space character.  If a symbol or command is a key
+// in this table, then it should be a regular space character.  Furthermore,
+// the associated value may have a `className` specifying an extra CSS class
+// to add to the created `span`.
+
+const regularSpace = {
+  " ": {},
+  "\\ ": {},
+  "~": {
+    className: "nobreak"
+  },
+  "\\space": {},
+  "\\nobreakspace": {
+    className: "nobreak"
+  }
+}; // ParseNode<"spacing"> created in Parser.js from the "spacing" symbol Groups in
+// src/symbols.js.
+
+defineFunctionBuilders({
+  type: "spacing",
+
+  htmlBuilder(group, options) {
+    if (regularSpace.hasOwnProperty(group.text)) {
+      const className = regularSpace[group.text].className || ""; // Spaces are generated by adding an actual space. Each of these
+      // things has an entry in the symbols table, so these will be turned
+      // into appropriate outputs.
+
+      if (group.mode === "text") {
+        const ord = buildCommon.makeOrd(group, options, "textord");
+        ord.classes.push(className);
+        return ord;
+      } else {
+        return buildCommon.makeSpan(["mspace", className], [buildCommon.mathsym(group.text, group.mode, options)], options);
+      }
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // Spaces based on just a CSS class.
+      return buildCommon.makeSpan(["mspace", cssSpace[group.text]], [], options);
+    } else {
+      throw new ParseError(`Unknown type of space "${group.text}"`);
+    }
+  },
+
+  mathmlBuilder(group, options) {
+    let node;
+
+    if (regularSpace.hasOwnProperty(group.text)) {
+      node = new mathMLTree.MathNode("mtext", [new mathMLTree.TextNode("\u00a0")]);
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // CSS-based MathML spaces (\nobreak, \allowbreak) are ignored
+      return new mathMLTree.MathNode("mspace");
+    } else {
+      throw new ParseError(`Unknown type of space "${group.text}"`);
+    }
+
+    return node;
+  }
+
+});
+
+const pad = () => {
+  const padNode = new mathMLTree.MathNode("mtd", []);
+  padNode.setAttribute("width", "50%");
+  return padNode;
+};
+
+defineFunctionBuilders({
+  type: "tag",
+
+  mathmlBuilder(group, options) {
+    const table = new mathMLTree.MathNode("mtable", [new mathMLTree.MathNode("mtr", [pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.body, options)]), pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.tag, options)])])]);
+    table.setAttribute("width", "100%");
+    return table; // TODO: Left-aligned tags.
+    // Currently, the group and options passed here do not contain
+    // enough info to set tag alignment. `leqno` is in Settings but it is
+    // not passed to Options. On the HTML side, leqno is
+    // set by a CSS class applied in buildTree.js. That would have worked
+    // in MathML if browsers supported <mlabeledtr>. Since they don't, we
+    // need to rewrite the way this function is called.
+  }
+
+});
+
+const textFontFamilies = {
+  "\\text": undefined,
+  "\\textrm": "textrm",
+  "\\textsf": "textsf",
+  "\\texttt": "texttt",
+  "\\textnormal": "textrm"
+};
+const textFontWeights = {
+  "\\textbf": "textbf",
+  "\\textmd": "textmd"
+};
+const textFontShapes = {
+  "\\textit": "textit",
+  "\\textup": "textup"
+};
+
+const optionsWithFont = (group, options) => {
+  const font = group.font; // Checks if the argument is a font family or a font style.
+
+  if (!font) {
+    return options;
+  } else if (textFontFamilies[font]) {
+    return options.withTextFontFamily(textFontFamilies[font]);
+  } else if (textFontWeights[font]) {
+    return options.withTextFontWeight(textFontWeights[font]);
+  } else {
+    return options.withTextFontShape(textFontShapes[font]);
+  }
+};
+
+defineFunction({
+  type: "text",
+  names: [// Font families
+  "\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", // Font weights
+  "\\textbf", "\\textmd", // Font Shapes
+  "\\textit", "\\textup"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"],
+    greediness: 2,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "text",
+      mode: parser.mode,
+      body: ordargument(body),
+      font: funcName
+    };
+  },
+
+  htmlBuilder(group, options) {
+    const newOptions = optionsWithFont(group, options);
+    const inner = buildExpression(group.body, newOptions, true);
+    return buildCommon.makeSpan(["mord", "text"], buildCommon.tryCombineChars(inner), newOptions);
+  },
+
+  mathmlBuilder(group, options) {
+    const newOptions = optionsWithFont(group, options);
+    return buildExpressionRow(group.body, newOptions);
+  }
+
+});
+
+defineFunction({
+  type: "underline",
+  names: ["\\underline"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    return {
+      type: "underline",
+      mode: parser.mode,
+      body: args[0]
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Underlines are handled in the TeXbook pg 443, Rule 10.
+    // Build the inner group.
+    const innerGroup = buildGroup(group.body, options); // Create the line to go below the body
+
+    const line = buildCommon.makeLineSpan("underline-line", options); // Generate the vlist, with the appropriate kerns
+
+    const defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    const vlist = buildCommon.makeVList({
+      positionType: "top",
+      positionData: innerGroup.height,
+      children: [{
+        type: "kern",
+        size: defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "underline"], [vlist], options);
+  },
+
+  mathmlBuilder(group, options) {
+    const operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]);
+    operator.setAttribute("stretchy", "true");
+    const node = new mathMLTree.MathNode("munder", [buildGroup$1(group.body, options), operator]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+
+});
+
+defineFunction({
+  type: "verb",
+  names: ["\\verb"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(context, args, optArgs) {
+    // \verb and \verb* are dealt with directly in Parser.js.
+    // If we end up here, it's because of a failure to match the two delimiters
+    // in the regex in Lexer.js.  LaTeX raises the following error when \verb is
+    // terminated by end of line (or file).
+    throw new ParseError("\\verb ended by end of line instead of matching delimiter");
+  },
+
+  htmlBuilder(group, options) {
+    const text = makeVerb(group);
+    const body = []; // \verb enters text mode and therefore is sized like \textstyle
+
+    const newOptions = options.havingStyle(options.style.text());
+
+    for (let i = 0; i < text.length; i++) {
+      let c = text[i];
+
+      if (c === '~') {
+        c = '\\textasciitilde';
+      }
+
+      body.push(buildCommon.makeSymbol(c, "Typewriter-Regular", group.mode, newOptions, ["mord", "texttt"]));
+    }
+
+    return buildCommon.makeSpan(["mord", "text"].concat(newOptions.sizingClasses(options)), buildCommon.tryCombineChars(body), newOptions);
+  },
+
+  mathmlBuilder(group, options) {
+    const text = new mathMLTree.TextNode(makeVerb(group));
+    const node = new mathMLTree.MathNode("mtext", [text]);
+    node.setAttribute("mathvariant", "monospace");
+    return node;
+  }
+
+});
+/**
+ * Converts verb group into body string.
+ *
+ * \verb* replaces each space with an open box \u2423
+ * \verb replaces each space with a no-break space \xA0
+ */
+
+const makeVerb = group => group.body.replace(/ /g, group.star ? '\u2423' : '\xA0');
+
+/** Include this to ensure that all functions are defined. */
+const functions = _functions;
+
+/**
+ * The Lexer class handles tokenizing the input in various ways. Since our
+ * parser expects us to be able to backtrack, the lexer allows lexing from any
+ * given starting point.
+ *
+ * Its main exposed function is the `lex` function, which takes a position to
+ * lex from and a type of token to lex. It defers to the appropriate `_innerLex`
+ * function.
+ *
+ * The various `_innerLex` functions perform the actual lexing of different
+ * kinds.
+ */
+
+/* The following tokenRegex
+ * - matches typical whitespace (but not NBSP etc.) using its first group
+ * - does not match any control character \x00-\x1f except whitespace
+ * - does not match a bare backslash
+ * - matches any ASCII character except those just mentioned
+ * - does not match the BMP private use area \uE000-\uF8FF
+ * - does not match bare surrogate code units
+ * - matches any BMP character except for those just described
+ * - matches any valid Unicode surrogate pair
+ * - matches a backslash followed by one or more letters
+ * - matches a backslash followed by any BMP character, including newline
+ * Just because the Lexer matches something doesn't mean it's valid input:
+ * If there is no matching function or symbol definition, the Parser will
+ * still reject the input.
+ */
+const spaceRegexString = "[ \r\n\t]";
+const controlWordRegexString = "\\\\[a-zA-Z@]+";
+const controlSymbolRegexString = "\\\\[^\uD800-\uDFFF]";
+const controlWordWhitespaceRegexString = `${controlWordRegexString}${spaceRegexString}*`;
+const controlWordWhitespaceRegex = new RegExp(`^(${controlWordRegexString})${spaceRegexString}*$`);
+const combiningDiacriticalMarkString = "[\u0300-\u036f]";
+const combiningDiacriticalMarksEndRegex = new RegExp(`${combiningDiacriticalMarkString}+$`);
+const tokenRegexString = `(${spaceRegexString}+)|` + // whitespace
+"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + // single codepoint
+`${combiningDiacriticalMarkString}*` + // ...plus accents
+"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + // surrogate pair
+`${combiningDiacriticalMarkString}*` + // ...plus accents
+"|\\\\verb\\*([^]).*?\\3" + // \verb*
+"|\\\\verb([^*a-zA-Z]).*?\\4" + // \verb unstarred
+"|\\\\operatorname\\*" + // \operatorname*
+`|${controlWordWhitespaceRegexString}` + // \macroName + spaces
+`|${controlSymbolRegexString})`; // \\, \', etc.
+
+/** Main Lexer class */
+
+class Lexer {
+  // category codes, only supports comment characters (14) for now
+  constructor(input, settings) {
+    this.input = void 0;
+    this.settings = void 0;
+    this.tokenRegex = void 0;
+    this.catcodes = void 0;
+    // Separate accents from characters
+    this.input = input;
+    this.settings = settings;
+    this.tokenRegex = new RegExp(tokenRegexString, 'g');
+    this.catcodes = {
+      "%": 14 // comment character
+
+    };
+  }
+
+  setCatcode(char, code) {
+    this.catcodes[char] = code;
+  }
+  /**
+   * This function lexes a single token.
+   */
+
+
+  lex() {
+    const input = this.input;
+    const pos = this.tokenRegex.lastIndex;
+
+    if (pos === input.length) {
+      return new Token("EOF", new SourceLocation(this, pos, pos));
+    }
+
+    const match = this.tokenRegex.exec(input);
+
+    if (match === null || match.index !== pos) {
+      throw new ParseError(`Unexpected character: '${input[pos]}'`, new Token(input[pos], new SourceLocation(this, pos, pos + 1)));
+    }
+
+    let text = match[2] || " ";
+
+    if (this.catcodes[text] === 14) {
+      // comment character
+      const nlIndex = input.indexOf('\n', this.tokenRegex.lastIndex);
+
+      if (nlIndex === -1) {
+        this.tokenRegex.lastIndex = input.length; // EOF
+
+        this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would " + "fail because of commenting the end of math mode (e.g. $)");
+      } else {
+        this.tokenRegex.lastIndex = nlIndex + 1;
+      }
+
+      return this.lex();
+    } // Trim any trailing whitespace from control word match
+
+
+    const controlMatch = text.match(controlWordWhitespaceRegex);
+
+    if (controlMatch) {
+      text = controlMatch[1];
+    }
+
+    return new Token(text, new SourceLocation(this, pos, this.tokenRegex.lastIndex));
+  }
+
+}
+
+/**
+ * A `Namespace` refers to a space of nameable things like macros or lengths,
+ * which can be `set` either globally or local to a nested group, using an
+ * undo stack similar to how TeX implements this functionality.
+ * Performance-wise, `get` and local `set` take constant time, while global
+ * `set` takes time proportional to the depth of group nesting.
+ */
+class Namespace {
+  /**
+   * Both arguments are optional.  The first argument is an object of
+   * built-in mappings which never change.  The second argument is an object
+   * of initial (global-level) mappings, which will constantly change
+   * according to any global/top-level `set`s done.
+   */
+  constructor(builtins, globalMacros) {
+    if (builtins === void 0) {
+      builtins = {};
+    }
+
+    if (globalMacros === void 0) {
+      globalMacros = {};
+    }
+
+    this.current = void 0;
+    this.builtins = void 0;
+    this.undefStack = void 0;
+    this.current = globalMacros;
+    this.builtins = builtins;
+    this.undefStack = [];
+  }
+  /**
+   * Start a new nested group, affecting future local `set`s.
+   */
+
+
+  beginGroup() {
+    this.undefStack.push({});
+  }
+  /**
+   * End current nested group, restoring values before the group began.
+   */
+
+
+  endGroup() {
+    if (this.undefStack.length === 0) {
+      throw new ParseError("Unbalanced namespace destruction: attempt " + "to pop global namespace; please report this as a bug");
+    }
+
+    const undefs = this.undefStack.pop();
+
+    for (const undef in undefs) {
+      if (undefs.hasOwnProperty(undef)) {
+        if (undefs[undef] === undefined) {
+          delete this.current[undef];
+        } else {
+          this.current[undef] = undefs[undef];
+        }
+      }
+    }
+  }
+  /**
+   * Detect whether `name` has a definition.  Equivalent to
+   * `get(name) != null`.
+   */
+
+
+  has(name) {
+    return this.current.hasOwnProperty(name) || this.builtins.hasOwnProperty(name);
+  }
+  /**
+   * Get the current value of a name, or `undefined` if there is no value.
+   *
+   * Note: Do not use `if (namespace.get(...))` to detect whether a macro
+   * is defined, as the definition may be the empty string which evaluates
+   * to `false` in JavaScript.  Use `if (namespace.get(...) != null)` or
+   * `if (namespace.has(...))`.
+   */
+
+
+  get(name) {
+    if (this.current.hasOwnProperty(name)) {
+      return this.current[name];
+    } else {
+      return this.builtins[name];
+    }
+  }
+  /**
+   * Set the current value of a name, and optionally set it globally too.
+   * Local set() sets the current value and (when appropriate) adds an undo
+   * operation to the undo stack.  Global set() may change the undo
+   * operation at every level, so takes time linear in their number.
+   */
+
+
+  set(name, value, global) {
+    if (global === void 0) {
+      global = false;
+    }
+
+    if (global) {
+      // Global set is equivalent to setting in all groups.  Simulate this
+      // by destroying any undos currently scheduled for this name,
+      // and adding an undo with the *new* value (in case it later gets
+      // locally reset within this environment).
+      for (let i = 0; i < this.undefStack.length; i++) {
+        delete this.undefStack[i][name];
+      }
+
+      if (this.undefStack.length > 0) {
+        this.undefStack[this.undefStack.length - 1][name] = value;
+      }
+    } else {
+      // Undo this set at end of this group (possibly to `undefined`),
+      // unless an undo is already in place, in which case that older
+      // value is the correct one.
+      const top = this.undefStack[this.undefStack.length - 1];
+
+      if (top && !top.hasOwnProperty(name)) {
+        top[name] = this.current[name];
+      }
+    }
+
+    this.current[name] = value;
+  }
+
+}
+
+/**
+ * Predefined macros for KaTeX.
+ * This can be used to define some commands in terms of others.
+ */
+const builtinMacros = {};
+
+function defineMacro(name, body) {
+  builtinMacros[name] = body;
+} //////////////////////////////////////////////////////////////////////
+// macro tools
+// LaTeX's \@firstoftwo{#1}{#2} expands to #1, skipping #2
+// TeX source: \long\def\@firstoftwo#1#2{#1}
+
+defineMacro("\\@firstoftwo", function (context) {
+  const args = context.consumeArgs(2);
+  return {
+    tokens: args[0],
+    numArgs: 0
+  };
+}); // LaTeX's \@secondoftwo{#1}{#2} expands to #2, skipping #1
+// TeX source: \long\def\@secondoftwo#1#2{#2}
+
+defineMacro("\\@secondoftwo", function (context) {
+  const args = context.consumeArgs(2);
+  return {
+    tokens: args[1],
+    numArgs: 0
+  };
+}); // LaTeX's \@ifnextchar{#1}{#2}{#3} looks ahead to the next (unexpanded)
+// symbol.  If it matches #1, then the macro expands to #2; otherwise, #3.
+// Note, however, that it does not consume the next symbol in either case.
+
+defineMacro("\\@ifnextchar", function (context) {
+  const args = context.consumeArgs(3); // symbol, if, else
+
+  const nextToken = context.future();
+
+  if (args[0].length === 1 && args[0][0].text === nextToken.text) {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[2],
+      numArgs: 0
+    };
+  }
+}); // LaTeX's \@ifstar{#1}{#2} looks ahead to the next (unexpanded) symbol.
+// If it is `*`, then it consumes the symbol, and the macro expands to #1;
+// otherwise, the macro expands to #2 (without consuming the symbol).
+// TeX source: \def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}}
+
+defineMacro("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"); // LaTeX's \TextOrMath{#1}{#2} expands to #1 in text mode, #2 in math mode
+
+defineMacro("\\TextOrMath", function (context) {
+  const args = context.consumeArgs(2);
+
+  if (context.mode === 'text') {
+    return {
+      tokens: args[0],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  }
+}); // Lookup table for parsing numbers in base 8 through 16
+
+const digitToNumber = {
+  "0": 0,
+  "1": 1,
+  "2": 2,
+  "3": 3,
+  "4": 4,
+  "5": 5,
+  "6": 6,
+  "7": 7,
+  "8": 8,
+  "9": 9,
+  "a": 10,
+  "A": 10,
+  "b": 11,
+  "B": 11,
+  "c": 12,
+  "C": 12,
+  "d": 13,
+  "D": 13,
+  "e": 14,
+  "E": 14,
+  "f": 15,
+  "F": 15
+}; // TeX \char makes a literal character (catcode 12) using the following forms:
+// (see The TeXBook, p. 43)
+//   \char123  -- decimal
+//   \char'123 -- octal
+//   \char"123 -- hex
+//   \char`x   -- character that can be written (i.e. isn't active)
+//   \char`\x  -- character that cannot be written (e.g. %)
+// These all refer to characters from the font, so we turn them into special
+// calls to a function \@char dealt with in the Parser.
+
+defineMacro("\\char", function (context) {
+  let token = context.popToken();
+  let base;
+  let number = '';
+
+  if (token.text === "'") {
+    base = 8;
+    token = context.popToken();
+  } else if (token.text === '"') {
+    base = 16;
+    token = context.popToken();
+  } else if (token.text === "`") {
+    token = context.popToken();
+
+    if (token.text[0] === "\\") {
+      number = token.text.charCodeAt(1);
+    } else if (token.text === "EOF") {
+      throw new ParseError("\\char` missing argument");
+    } else {
+      number = token.text.charCodeAt(0);
+    }
+  } else {
+    base = 10;
+  }
+
+  if (base) {
+    // Parse a number in the given base, starting with first `token`.
+    number = digitToNumber[token.text];
+
+    if (number == null || number >= base) {
+      throw new ParseError(`Invalid base-${base} digit ${token.text}`);
+    }
+
+    let digit;
+
+    while ((digit = digitToNumber[context.future().text]) != null && digit < base) {
+      number *= base;
+      number += digit;
+      context.popToken();
+    }
+  }
+
+  return `\\@char{${number}}`;
+}); // Basic support for macro definitions:
+//     \def\macro{expansion}
+//     \def\macro#1{expansion}
+//     \def\macro#1#2{expansion}
+//     \def\macro#1#2#3#4#5#6#7#8#9{expansion}
+// Also the \gdef and \global\def equivalents
+
+const def = (context, global) => {
+  let arg = context.consumeArgs(1)[0];
+
+  if (arg.length !== 1) {
+    throw new ParseError("\\gdef's first argument must be a macro name");
+  }
+
+  const name = arg[0].text; // Count argument specifiers, and check they are in the order #1 #2 ...
+
+  let numArgs = 0;
+  arg = context.consumeArgs(1)[0];
+
+  while (arg.length === 1 && arg[0].text === "#") {
+    arg = context.consumeArgs(1)[0];
+
+    if (arg.length !== 1) {
+      throw new ParseError(`Invalid argument number length "${arg.length}"`);
+    }
+
+    if (!/^[1-9]$/.test(arg[0].text)) {
+      throw new ParseError(`Invalid argument number "${arg[0].text}"`);
+    }
+
+    numArgs++;
+
+    if (parseInt(arg[0].text) !== numArgs) {
+      throw new ParseError(`Argument number "${arg[0].text}" out of order`);
+    }
+
+    arg = context.consumeArgs(1)[0];
+  } // Final arg is the expansion of the macro
+
+
+  context.macros.set(name, {
+    tokens: arg,
+    numArgs
+  }, global);
+  return '';
+};
+
+defineMacro("\\gdef", context => def(context, true));
+defineMacro("\\def", context => def(context, false));
+defineMacro("\\global", context => {
+  const next = context.consumeArgs(1)[0];
+
+  if (next.length !== 1) {
+    throw new ParseError("Invalid command after \\global");
+  }
+
+  const command = next[0].text; // TODO: Should expand command
+
+  if (command === "\\def") {
+    // \global\def is equivalent to \gdef
+    return def(context, true);
+  } else {
+    throw new ParseError(`Invalid command '${command}' after \\global`);
+  }
+}); // \newcommand{\macro}[args]{definition}
+// \renewcommand{\macro}[args]{definition}
+// TODO: Optional arguments: \newcommand{\macro}[args][default]{definition}
+
+const newcommand = (context, existsOK, nonexistsOK) => {
+  let arg = context.consumeArgs(1)[0];
+
+  if (arg.length !== 1) {
+    throw new ParseError("\\newcommand's first argument must be a macro name");
+  }
+
+  const name = arg[0].text;
+  const exists = context.isDefined(name);
+
+  if (exists && !existsOK) {
+    throw new ParseError(`\\newcommand{${name}} attempting to redefine ` + `${name}; use \\renewcommand`);
+  }
+
+  if (!exists && !nonexistsOK) {
+    throw new ParseError(`\\renewcommand{${name}} when command ${name} ` + `does not yet exist; use \\newcommand`);
+  }
+
+  let numArgs = 0;
+  arg = context.consumeArgs(1)[0];
+
+  if (arg.length === 1 && arg[0].text === "[") {
+    let argText = '';
+    let token = context.expandNextToken();
+
+    while (token.text !== "]" && token.text !== "EOF") {
+      // TODO: Should properly expand arg, e.g., ignore {}s
+      argText += token.text;
+      token = context.expandNextToken();
+    }
+
+    if (!argText.match(/^\s*[0-9]+\s*$/)) {
+      throw new ParseError(`Invalid number of arguments: ${argText}`);
+    }
+
+    numArgs = parseInt(argText);
+    arg = context.consumeArgs(1)[0];
+  } // Final arg is the expansion of the macro
+
+
+  context.macros.set(name, {
+    tokens: arg,
+    numArgs
+  });
+  return '';
+};
+
+defineMacro("\\newcommand", context => newcommand(context, false, true));
+defineMacro("\\renewcommand", context => newcommand(context, true, false));
+defineMacro("\\providecommand", context => newcommand(context, true, true)); //////////////////////////////////////////////////////////////////////
+// Grouping
+// \let\bgroup={ \let\egroup=}
+
+defineMacro("\\bgroup", "{");
+defineMacro("\\egroup", "}"); // Symbols from latex.ltx:
+// \def\lq{`}
+// \def\rq{'}
+// \def \aa {\r a}
+// \def \AA {\r A}
+
+defineMacro("\\lq", "`");
+defineMacro("\\rq", "'");
+defineMacro("\\aa", "\\r a");
+defineMacro("\\AA", "\\r A"); // Copyright (C) and registered (R) symbols. Use raw symbol in MathML.
+// \DeclareTextCommandDefault{\textcopyright}{\textcircled{c}}
+// \DeclareTextCommandDefault{\textregistered}{\textcircled{%
+//      \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}}
+// \DeclareRobustCommand{\copyright}{%
+//    \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi}
+
+defineMacro("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}");
+defineMacro("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}");
+defineMacro("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"); // Characters omitted from Unicode range 1D400–1D7FF
+
+defineMacro("\u212C", "\\mathscr{B}"); // script
+
+defineMacro("\u2130", "\\mathscr{E}");
+defineMacro("\u2131", "\\mathscr{F}");
+defineMacro("\u210B", "\\mathscr{H}");
+defineMacro("\u2110", "\\mathscr{I}");
+defineMacro("\u2112", "\\mathscr{L}");
+defineMacro("\u2133", "\\mathscr{M}");
+defineMacro("\u211B", "\\mathscr{R}");
+defineMacro("\u212D", "\\mathfrak{C}"); // Fraktur
+
+defineMacro("\u210C", "\\mathfrak{H}");
+defineMacro("\u2128", "\\mathfrak{Z}"); // Define \Bbbk with a macro that works in both HTML and MathML.
+
+defineMacro("\\Bbbk", "\\Bbb{k}"); // Unicode middle dot
+// The KaTeX fonts do not contain U+00B7. Instead, \cdotp displays
+// the dot at U+22C5 and gives it punct spacing.
+
+defineMacro("\u00b7", "\\cdotp"); // \llap and \rlap render their contents in text mode
+
+defineMacro("\\llap", "\\mathllap{\\textrm{#1}}");
+defineMacro("\\rlap", "\\mathrlap{\\textrm{#1}}");
+defineMacro("\\clap", "\\mathclap{\\textrm{#1}}"); // \not is defined by base/fontmath.ltx via
+// \DeclareMathSymbol{\not}{\mathrel}{symbols}{"36}
+// It's thus treated like a \mathrel, but defined by a symbol that has zero
+// width but extends to the right.  We use \rlap to get that spacing.
+// For MathML we write U+0338 here. buildMathML.js will then do the overlay.
+
+defineMacro("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'); // Negated symbols from base/fontmath.ltx:
+// \def\neq{\not=} \let\ne=\neq
+// \DeclareRobustCommand
+//   \notin{\mathrel{\m@th\mathpalette\c@ncel\in}}
+// \def\c@ncel#1#2{\m@th\ooalign{$\hfil#1\mkern1mu/\hfil$\crcr$#1#2$}}
+
+defineMacro("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}");
+defineMacro("\\ne", "\\neq");
+defineMacro("\u2260", "\\neq");
+defineMacro("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}" + "{\\mathrel{\\char`∉}}");
+defineMacro("\u2209", "\\notin"); // Unicode stacked relations
+
+defineMacro("\u2258", "\\html@mathml{" + "\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}" + "}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u225A", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225A}}");
+defineMacro("\u225B", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}" + "{\\mathrel{\\char`\u225B}}");
+defineMacro("\u225D", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}" + "{\\mathrel{\\char`\u225D}}");
+defineMacro("\u225E", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}" + "{\\mathrel{\\char`\u225E}}");
+defineMacro("\u225F", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225F}}"); // Misc Unicode
+
+defineMacro("\u27C2", "\\perp");
+defineMacro("\u203C", "\\mathclose{!\\mkern-0.8mu!}");
+defineMacro("\u220C", "\\notni");
+defineMacro("\u231C", "\\ulcorner");
+defineMacro("\u231D", "\\urcorner");
+defineMacro("\u231E", "\\llcorner");
+defineMacro("\u231F", "\\lrcorner");
+defineMacro("\u00A9", "\\copyright");
+defineMacro("\u00AE", "\\textregistered");
+defineMacro("\uFE0F", "\\textregistered"); //////////////////////////////////////////////////////////////////////
+// LaTeX_2ε
+// \vdots{\vbox{\baselineskip4\p@  \lineskiplimit\z@
+// \kern6\p@\hbox{.}\hbox{.}\hbox{.}}}
+// We'll call \varvdots, which gets a glyph from symbols.js.
+// The zero-width rule gets us an equivalent to the vertical 6pt kern.
+
+defineMacro("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}");
+defineMacro("\u22ee", "\\vdots"); //////////////////////////////////////////////////////////////////////
+// amsmath.sty
+// http://mirrors.concertpass.com/tex-archive/macros/latex/required/amsmath/amsmath.pdf
+// Italic Greek capital letters.  AMS defines these with \DeclareMathSymbol,
+// but they are equivalent to \mathit{\Letter}.
+
+defineMacro("\\varGamma", "\\mathit{\\Gamma}");
+defineMacro("\\varDelta", "\\mathit{\\Delta}");
+defineMacro("\\varTheta", "\\mathit{\\Theta}");
+defineMacro("\\varLambda", "\\mathit{\\Lambda}");
+defineMacro("\\varXi", "\\mathit{\\Xi}");
+defineMacro("\\varPi", "\\mathit{\\Pi}");
+defineMacro("\\varSigma", "\\mathit{\\Sigma}");
+defineMacro("\\varUpsilon", "\\mathit{\\Upsilon}");
+defineMacro("\\varPhi", "\\mathit{\\Phi}");
+defineMacro("\\varPsi", "\\mathit{\\Psi}");
+defineMacro("\\varOmega", "\\mathit{\\Omega}"); //\newcommand{\substack}[1]{\subarray{c}#1\endsubarray}
+
+defineMacro("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"); // \renewcommand{\colon}{\nobreak\mskip2mu\mathpunct{}\nonscript
+// \mkern-\thinmuskip{:}\mskip6muplus1mu\relax}
+
+defineMacro("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}" + "\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu"); // \newcommand{\boxed}[1]{\fbox{\m@th$\displaystyle#1$}}
+
+defineMacro("\\boxed", "\\fbox{$\\displaystyle{#1}$}"); // \def\iff{\DOTSB\;\Longleftrightarrow\;}
+// \def\implies{\DOTSB\;\Longrightarrow\;}
+// \def\impliedby{\DOTSB\;\Longleftarrow\;}
+
+defineMacro("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;");
+defineMacro("\\implies", "\\DOTSB\\;\\Longrightarrow\\;");
+defineMacro("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;"); // AMSMath's automatic \dots, based on \mdots@@ macro.
+
+const dotsByToken = {
+  ',': '\\dotsc',
+  '\\not': '\\dotsb',
+  // \keybin@ checks for the following:
+  '+': '\\dotsb',
+  '=': '\\dotsb',
+  '<': '\\dotsb',
+  '>': '\\dotsb',
+  '-': '\\dotsb',
+  '*': '\\dotsb',
+  ':': '\\dotsb',
+  // Symbols whose definition starts with \DOTSB:
+  '\\DOTSB': '\\dotsb',
+  '\\coprod': '\\dotsb',
+  '\\bigvee': '\\dotsb',
+  '\\bigwedge': '\\dotsb',
+  '\\biguplus': '\\dotsb',
+  '\\bigcap': '\\dotsb',
+  '\\bigcup': '\\dotsb',
+  '\\prod': '\\dotsb',
+  '\\sum': '\\dotsb',
+  '\\bigotimes': '\\dotsb',
+  '\\bigoplus': '\\dotsb',
+  '\\bigodot': '\\dotsb',
+  '\\bigsqcup': '\\dotsb',
+  '\\And': '\\dotsb',
+  '\\longrightarrow': '\\dotsb',
+  '\\Longrightarrow': '\\dotsb',
+  '\\longleftarrow': '\\dotsb',
+  '\\Longleftarrow': '\\dotsb',
+  '\\longleftrightarrow': '\\dotsb',
+  '\\Longleftrightarrow': '\\dotsb',
+  '\\mapsto': '\\dotsb',
+  '\\longmapsto': '\\dotsb',
+  '\\hookrightarrow': '\\dotsb',
+  '\\doteq': '\\dotsb',
+  // Symbols whose definition starts with \mathbin:
+  '\\mathbin': '\\dotsb',
+  // Symbols whose definition starts with \mathrel:
+  '\\mathrel': '\\dotsb',
+  '\\relbar': '\\dotsb',
+  '\\Relbar': '\\dotsb',
+  '\\xrightarrow': '\\dotsb',
+  '\\xleftarrow': '\\dotsb',
+  // Symbols whose definition starts with \DOTSI:
+  '\\DOTSI': '\\dotsi',
+  '\\int': '\\dotsi',
+  '\\oint': '\\dotsi',
+  '\\iint': '\\dotsi',
+  '\\iiint': '\\dotsi',
+  '\\iiiint': '\\dotsi',
+  '\\idotsint': '\\dotsi',
+  // Symbols whose definition starts with \DOTSX:
+  '\\DOTSX': '\\dotsx'
+};
+defineMacro("\\dots", function (context) {
+  // TODO: If used in text mode, should expand to \textellipsis.
+  // However, in KaTeX, \textellipsis and \ldots behave the same
+  // (in text mode), and it's unlikely we'd see any of the math commands
+  // that affect the behavior of \dots when in text mode.  So fine for now
+  // (until we support \ifmmode ... \else ... \fi).
+  let thedots = '\\dotso';
+  const next = context.expandAfterFuture().text;
+
+  if (next in dotsByToken) {
+    thedots = dotsByToken[next];
+  } else if (next.substr(0, 4) === '\\not') {
+    thedots = '\\dotsb';
+  } else if (next in symbols.math) {
+    if (utils.contains(['bin', 'rel'], symbols.math[next].group)) {
+      thedots = '\\dotsb';
+    }
+  }
+
+  return thedots;
+});
+const spaceAfterDots = {
+  // \rightdelim@ checks for the following:
+  ')': true,
+  ']': true,
+  '\\rbrack': true,
+  '\\}': true,
+  '\\rbrace': true,
+  '\\rangle': true,
+  '\\rceil': true,
+  '\\rfloor': true,
+  '\\rgroup': true,
+  '\\rmoustache': true,
+  '\\right': true,
+  '\\bigr': true,
+  '\\biggr': true,
+  '\\Bigr': true,
+  '\\Biggr': true,
+  // \extra@ also tests for the following:
+  '$': true,
+  // \extrap@ checks for the following:
+  ';': true,
+  '.': true,
+  ',': true
+};
+defineMacro("\\dotso", function (context) {
+  const next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\dotsc", function (context) {
+  const next = context.future().text; // \dotsc uses \extra@ but not \extrap@, instead specially checking for
+  // ';' and '.', but doesn't check for ','.
+
+  if (next in spaceAfterDots && next !== ',') {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\cdots", function (context) {
+  const next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\@cdots\\,";
+  } else {
+    return "\\@cdots";
+  }
+});
+defineMacro("\\dotsb", "\\cdots");
+defineMacro("\\dotsm", "\\cdots");
+defineMacro("\\dotsi", "\\!\\cdots"); // amsmath doesn't actually define \dotsx, but \dots followed by a macro
+// starting with \DOTSX implies \dotso, and then \extra@ detects this case
+// and forces the added `\,`.
+
+defineMacro("\\dotsx", "\\ldots\\,"); // \let\DOTSI\relax
+// \let\DOTSB\relax
+// \let\DOTSX\relax
+
+defineMacro("\\DOTSI", "\\relax");
+defineMacro("\\DOTSB", "\\relax");
+defineMacro("\\DOTSX", "\\relax"); // Spacing, based on amsmath.sty's override of LaTeX defaults
+// \DeclareRobustCommand{\tmspace}[3]{%
+//   \ifmmode\mskip#1#2\else\kern#1#3\fi\relax}
+
+defineMacro("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"); // \renewcommand{\,}{\tmspace+\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\,", "\\tmspace+{3mu}{.1667em}"); // \let\thinspace\,
+
+defineMacro("\\thinspace", "\\,"); // \def\>{\mskip\medmuskip}
+// \renewcommand{\:}{\tmspace+\medmuskip{.2222em}}
+// TODO: \> and math mode of \: should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\>", "\\mskip{4mu}");
+defineMacro("\\:", "\\tmspace+{4mu}{.2222em}"); // \let\medspace\:
+
+defineMacro("\\medspace", "\\:"); // \renewcommand{\;}{\tmspace+\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip = 5mu plus 5mu
+
+defineMacro("\\;", "\\tmspace+{5mu}{.2777em}"); // \let\thickspace\;
+
+defineMacro("\\thickspace", "\\;"); // \renewcommand{\!}{\tmspace-\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\!", "\\tmspace-{3mu}{.1667em}"); // \let\negthinspace\!
+
+defineMacro("\\negthinspace", "\\!"); // \newcommand{\negmedspace}{\tmspace-\medmuskip{.2222em}}
+// TODO: math mode should use \medmuskip
+
+defineMacro("\\negmedspace", "\\tmspace-{4mu}{.2222em}"); // \newcommand{\negthickspace}{\tmspace-\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip
+
+defineMacro("\\negthickspace", "\\tmspace-{5mu}{.277em}"); // \def\enspace{\kern.5em }
+
+defineMacro("\\enspace", "\\kern.5em "); // \def\enskip{\hskip.5em\relax}
+
+defineMacro("\\enskip", "\\hskip.5em\\relax"); // \def\quad{\hskip1em\relax}
+
+defineMacro("\\quad", "\\hskip1em\\relax"); // \def\qquad{\hskip2em\relax}
+
+defineMacro("\\qquad", "\\hskip2em\\relax"); // \tag@in@display form of \tag
+
+defineMacro("\\tag", "\\@ifstar\\tag@literal\\tag@paren");
+defineMacro("\\tag@paren", "\\tag@literal{({#1})}");
+defineMacro("\\tag@literal", context => {
+  if (context.macros.get("\\df@tag")) {
+    throw new ParseError("Multiple \\tag");
+  }
+
+  return "\\gdef\\df@tag{\\text{#1}}";
+}); // \renewcommand{\bmod}{\nonscript\mskip-\medmuskip\mkern5mu\mathbin
+//   {\operator@font mod}\penalty900
+//   \mkern5mu\nonscript\mskip-\medmuskip}
+// \newcommand{\pod}[1]{\allowbreak
+//   \if@display\mkern18mu\else\mkern8mu\fi(#1)}
+// \renewcommand{\pmod}[1]{\pod{{\operator@font mod}\mkern6mu#1}}
+// \newcommand{\mod}[1]{\allowbreak\if@display\mkern18mu
+//   \else\mkern12mu\fi{\operator@font mod}\,\,#1}
+// TODO: math mode should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}" + "\\mathbin{\\rm mod}" + "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}");
+defineMacro("\\pod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)");
+defineMacro("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}");
+defineMacro("\\mod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}" + "{\\rm mod}\\,\\,#1"); // \pmb    --   A simulation of bold.
+// The version in ambsy.sty works by typesetting three copies of the argument
+// with small offsets. We use two copies. We omit the vertical offset because
+// of rendering problems that makeVList encounters in Safari.
+
+defineMacro("\\pmb", "\\html@mathml{" + "\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}" + "{\\mathbf{#1}}"); //////////////////////////////////////////////////////////////////////
+// LaTeX source2e
+// \\ defaults to \newline, but changes to \cr within array environment
+
+defineMacro("\\\\", "\\newline"); // \def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@}
+// TODO: Doesn't normally work in math mode because \@ fails.  KaTeX doesn't
+// support \@ yet, so that's omitted, and we add \text so that the result
+// doesn't look funny in math mode.
+
+defineMacro("\\TeX", "\\textrm{\\html@mathml{" + "T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX" + "}{TeX}}"); // \DeclareRobustCommand{\LaTeX}{L\kern-.36em%
+//         {\sbox\z@ T%
+//          \vbox to\ht\z@{\hbox{\check@mathfonts
+//                               \fontsize\sf@size\z@
+//                               \math@fontsfalse\selectfont
+//                               A}%
+//                         \vss}%
+//         }%
+//         \kern-.15em%
+//         \TeX}
+// This code aligns the top of the A with the T (from the perspective of TeX's
+// boxes, though visually the A appears to extend above slightly).
+// We compute the corresponding \raisebox when A is rendered in \normalsize
+// \scriptstyle, which has a scale factor of 0.7 (see Options.js).
+
+const latexRaiseA = metricMap['Main-Regular']["T".charCodeAt(0)][1] - 0.7 * metricMap['Main-Regular']["A".charCodeAt(0)][1] + "em";
+defineMacro("\\LaTeX", "\\textrm{\\html@mathml{" + `L\\kern-.36em\\raisebox{${latexRaiseA}}{\\scriptstyle A}` + "\\kern-.15em\\TeX}{LaTeX}}"); // New KaTeX logo based on tweaking LaTeX logo
+
+defineMacro("\\KaTeX", "\\textrm{\\html@mathml{" + `K\\kern-.17em\\raisebox{${latexRaiseA}}{\\scriptstyle A}` + "\\kern-.15em\\TeX}{KaTeX}}"); // \DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace}
+// \def\@hspace#1{\hskip  #1\relax}
+// \def\@hspacer#1{\vrule \@width\z@\nobreak
+//                 \hskip #1\hskip \z@skip}
+
+defineMacro("\\hspace", "\\@ifstar\\@hspacer\\@hspace");
+defineMacro("\\@hspace", "\\hskip #1\\relax");
+defineMacro("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"); //////////////////////////////////////////////////////////////////////
+// mathtools.sty
+//\providecommand\ordinarycolon{:}
+
+defineMacro("\\ordinarycolon", ":"); //\def\vcentcolon{\mathrel{\mathop\ordinarycolon}}
+//TODO(edemaine): Not yet centered. Fix via \raisebox or #726
+
+defineMacro("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"); // \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon}
+
+defineMacro("\\dblcolon", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}" + "{\\mathop{\\char\"2237}}"); // \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\coloneqq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2254}}"); // ≔
+// \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\Coloneqq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2237\\char\"3d}}"); // \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\coloneq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"3a\\char\"2212}}"); // \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\Coloneq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"2237\\char\"2212}}"); // \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2255}}"); // ≕
+// \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"3d\\char\"2237}}"); // \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2239}}"); // \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"2212\\char\"2237}}"); // \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\colonapprox", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"3a\\char\"2248}}"); // \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\Colonapprox", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"2237\\char\"2248}}"); // \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\colonsim", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"3a\\char\"223c}}"); // \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\Colonsim", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"2237\\char\"223c}}"); // Some Unicode characters are implemented with macros to mathtools functions.
+
+defineMacro("\u2237", "\\dblcolon"); // ::
+
+defineMacro("\u2239", "\\eqcolon"); // -:
+
+defineMacro("\u2254", "\\coloneqq"); // :=
+
+defineMacro("\u2255", "\\eqqcolon"); // =:
+
+defineMacro("\u2A74", "\\Coloneqq"); // ::=
+//////////////////////////////////////////////////////////////////////
+// colonequals.sty
+// Alternate names for mathtools's macros:
+
+defineMacro("\\ratio", "\\vcentcolon");
+defineMacro("\\coloncolon", "\\dblcolon");
+defineMacro("\\colonequals", "\\coloneqq");
+defineMacro("\\coloncolonequals", "\\Coloneqq");
+defineMacro("\\equalscolon", "\\eqqcolon");
+defineMacro("\\equalscoloncolon", "\\Eqqcolon");
+defineMacro("\\colonminus", "\\coloneq");
+defineMacro("\\coloncolonminus", "\\Coloneq");
+defineMacro("\\minuscolon", "\\eqcolon");
+defineMacro("\\minuscoloncolon", "\\Eqcolon"); // \colonapprox name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonapprox", "\\Colonapprox"); // \colonsim name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonsim", "\\Colonsim"); // Additional macros, implemented by analogy with mathtools definitions:
+
+defineMacro("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");
+defineMacro("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"); // Present in newtxmath, pxfonts and txfonts
+
+defineMacro("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220C}}");
+defineMacro("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}");
+defineMacro("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"); //////////////////////////////////////////////////////////////////////
+// MathML alternates for KaTeX glyphs in the Unicode private area
+
+defineMacro("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}");
+defineMacro("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}");
+defineMacro("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}");
+defineMacro("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}");
+defineMacro("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}");
+defineMacro("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}");
+defineMacro("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}");
+defineMacro("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}");
+defineMacro("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}");
+defineMacro("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}");
+defineMacro("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}");
+defineMacro("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}");
+defineMacro("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}");
+defineMacro("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}"); //////////////////////////////////////////////////////////////////////
+// stmaryrd and semantic
+// The stmaryrd and semantic packages render the next four items by calling a
+// glyph. Those glyphs do not exist in the KaTeX fonts. Hence the macros.
+
+defineMacro("\\llbracket", "\\html@mathml{" + "\\mathopen{[\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u27e6}}");
+defineMacro("\\rrbracket", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu]}}" + "{\\mathclose{\\char`\u27e7}}");
+defineMacro("\u27e6", "\\llbracket"); // blackboard bold [
+
+defineMacro("\u27e7", "\\rrbracket"); // blackboard bold ]
+
+defineMacro("\\lBrace", "\\html@mathml{" + "\\mathopen{\\{\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u2983}}");
+defineMacro("\\rBrace", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu\\}}}" + "{\\mathclose{\\char`\u2984}}");
+defineMacro("\u2983", "\\lBrace"); // blackboard bold {
+
+defineMacro("\u2984", "\\rBrace"); // blackboard bold }
+// TODO: Create variable sized versions of the last two items. I believe that
+// will require new font glyphs.
+//////////////////////////////////////////////////////////////////////
+// texvc.sty
+// The texvc package contains macros available in mediawiki pages.
+// We omit the functions deprecated at
+// https://en.wikipedia.org/wiki/Help:Displaying_a_formula#Deprecated_syntax
+// We also omit texvc's \O, which conflicts with \text{\O}
+
+defineMacro("\\darr", "\\downarrow");
+defineMacro("\\dArr", "\\Downarrow");
+defineMacro("\\Darr", "\\Downarrow");
+defineMacro("\\lang", "\\langle");
+defineMacro("\\rang", "\\rangle");
+defineMacro("\\uarr", "\\uparrow");
+defineMacro("\\uArr", "\\Uparrow");
+defineMacro("\\Uarr", "\\Uparrow");
+defineMacro("\\N", "\\mathbb{N}");
+defineMacro("\\R", "\\mathbb{R}");
+defineMacro("\\Z", "\\mathbb{Z}");
+defineMacro("\\alef", "\\aleph");
+defineMacro("\\alefsym", "\\aleph");
+defineMacro("\\Alpha", "\\mathrm{A}");
+defineMacro("\\Beta", "\\mathrm{B}");
+defineMacro("\\bull", "\\bullet");
+defineMacro("\\Chi", "\\mathrm{X}");
+defineMacro("\\clubs", "\\clubsuit");
+defineMacro("\\cnums", "\\mathbb{C}");
+defineMacro("\\Complex", "\\mathbb{C}");
+defineMacro("\\Dagger", "\\ddagger");
+defineMacro("\\diamonds", "\\diamondsuit");
+defineMacro("\\empty", "\\emptyset");
+defineMacro("\\Epsilon", "\\mathrm{E}");
+defineMacro("\\Eta", "\\mathrm{H}");
+defineMacro("\\exist", "\\exists");
+defineMacro("\\harr", "\\leftrightarrow");
+defineMacro("\\hArr", "\\Leftrightarrow");
+defineMacro("\\Harr", "\\Leftrightarrow");
+defineMacro("\\hearts", "\\heartsuit");
+defineMacro("\\image", "\\Im");
+defineMacro("\\infin", "\\infty");
+defineMacro("\\Iota", "\\mathrm{I}");
+defineMacro("\\isin", "\\in");
+defineMacro("\\Kappa", "\\mathrm{K}");
+defineMacro("\\larr", "\\leftarrow");
+defineMacro("\\lArr", "\\Leftarrow");
+defineMacro("\\Larr", "\\Leftarrow");
+defineMacro("\\lrarr", "\\leftrightarrow");
+defineMacro("\\lrArr", "\\Leftrightarrow");
+defineMacro("\\Lrarr", "\\Leftrightarrow");
+defineMacro("\\Mu", "\\mathrm{M}");
+defineMacro("\\natnums", "\\mathbb{N}");
+defineMacro("\\Nu", "\\mathrm{N}");
+defineMacro("\\Omicron", "\\mathrm{O}");
+defineMacro("\\plusmn", "\\pm");
+defineMacro("\\rarr", "\\rightarrow");
+defineMacro("\\rArr", "\\Rightarrow");
+defineMacro("\\Rarr", "\\Rightarrow");
+defineMacro("\\real", "\\Re");
+defineMacro("\\reals", "\\mathbb{R}");
+defineMacro("\\Reals", "\\mathbb{R}");
+defineMacro("\\Rho", "\\mathrm{P}");
+defineMacro("\\sdot", "\\cdot");
+defineMacro("\\sect", "\\S");
+defineMacro("\\spades", "\\spadesuit");
+defineMacro("\\sub", "\\subset");
+defineMacro("\\sube", "\\subseteq");
+defineMacro("\\supe", "\\supseteq");
+defineMacro("\\Tau", "\\mathrm{T}");
+defineMacro("\\thetasym", "\\vartheta"); // TODO: defineMacro("\\varcoppa", "\\\mbox{\\coppa}");
+
+defineMacro("\\weierp", "\\wp");
+defineMacro("\\Zeta", "\\mathrm{Z}"); //////////////////////////////////////////////////////////////////////
+// statmath.sty
+// https://ctan.math.illinois.edu/macros/latex/contrib/statmath/statmath.pdf
+
+defineMacro("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}");
+defineMacro("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}");
+defineMacro("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"); // Custom Khan Academy colors, should be moved to an optional package
+
+defineMacro("\\blue", "\\textcolor{##6495ed}{#1}");
+defineMacro("\\orange", "\\textcolor{##ffa500}{#1}");
+defineMacro("\\pink", "\\textcolor{##ff00af}{#1}");
+defineMacro("\\red", "\\textcolor{##df0030}{#1}");
+defineMacro("\\green", "\\textcolor{##28ae7b}{#1}");
+defineMacro("\\gray", "\\textcolor{gray}{#1}");
+defineMacro("\\purple", "\\textcolor{##9d38bd}{#1}");
+defineMacro("\\blueA", "\\textcolor{##ccfaff}{#1}");
+defineMacro("\\blueB", "\\textcolor{##80f6ff}{#1}");
+defineMacro("\\blueC", "\\textcolor{##63d9ea}{#1}");
+defineMacro("\\blueD", "\\textcolor{##11accd}{#1}");
+defineMacro("\\blueE", "\\textcolor{##0c7f99}{#1}");
+defineMacro("\\tealA", "\\textcolor{##94fff5}{#1}");
+defineMacro("\\tealB", "\\textcolor{##26edd5}{#1}");
+defineMacro("\\tealC", "\\textcolor{##01d1c1}{#1}");
+defineMacro("\\tealD", "\\textcolor{##01a995}{#1}");
+defineMacro("\\tealE", "\\textcolor{##208170}{#1}");
+defineMacro("\\greenA", "\\textcolor{##b6ffb0}{#1}");
+defineMacro("\\greenB", "\\textcolor{##8af281}{#1}");
+defineMacro("\\greenC", "\\textcolor{##74cf70}{#1}");
+defineMacro("\\greenD", "\\textcolor{##1fab54}{#1}");
+defineMacro("\\greenE", "\\textcolor{##0d923f}{#1}");
+defineMacro("\\goldA", "\\textcolor{##ffd0a9}{#1}");
+defineMacro("\\goldB", "\\textcolor{##ffbb71}{#1}");
+defineMacro("\\goldC", "\\textcolor{##ff9c39}{#1}");
+defineMacro("\\goldD", "\\textcolor{##e07d10}{#1}");
+defineMacro("\\goldE", "\\textcolor{##a75a05}{#1}");
+defineMacro("\\redA", "\\textcolor{##fca9a9}{#1}");
+defineMacro("\\redB", "\\textcolor{##ff8482}{#1}");
+defineMacro("\\redC", "\\textcolor{##f9685d}{#1}");
+defineMacro("\\redD", "\\textcolor{##e84d39}{#1}");
+defineMacro("\\redE", "\\textcolor{##bc2612}{#1}");
+defineMacro("\\maroonA", "\\textcolor{##ffbde0}{#1}");
+defineMacro("\\maroonB", "\\textcolor{##ff92c6}{#1}");
+defineMacro("\\maroonC", "\\textcolor{##ed5fa6}{#1}");
+defineMacro("\\maroonD", "\\textcolor{##ca337c}{#1}");
+defineMacro("\\maroonE", "\\textcolor{##9e034e}{#1}");
+defineMacro("\\purpleA", "\\textcolor{##ddd7ff}{#1}");
+defineMacro("\\purpleB", "\\textcolor{##c6b9fc}{#1}");
+defineMacro("\\purpleC", "\\textcolor{##aa87ff}{#1}");
+defineMacro("\\purpleD", "\\textcolor{##7854ab}{#1}");
+defineMacro("\\purpleE", "\\textcolor{##543b78}{#1}");
+defineMacro("\\mintA", "\\textcolor{##f5f9e8}{#1}");
+defineMacro("\\mintB", "\\textcolor{##edf2df}{#1}");
+defineMacro("\\mintC", "\\textcolor{##e0e5cc}{#1}");
+defineMacro("\\grayA", "\\textcolor{##f6f7f7}{#1}");
+defineMacro("\\grayB", "\\textcolor{##f0f1f2}{#1}");
+defineMacro("\\grayC", "\\textcolor{##e3e5e6}{#1}");
+defineMacro("\\grayD", "\\textcolor{##d6d8da}{#1}");
+defineMacro("\\grayE", "\\textcolor{##babec2}{#1}");
+defineMacro("\\grayF", "\\textcolor{##888d93}{#1}");
+defineMacro("\\grayG", "\\textcolor{##626569}{#1}");
+defineMacro("\\grayH", "\\textcolor{##3b3e40}{#1}");
+defineMacro("\\grayI", "\\textcolor{##21242c}{#1}");
+defineMacro("\\kaBlue", "\\textcolor{##314453}{#1}");
+defineMacro("\\kaGreen", "\\textcolor{##71B307}{#1}");
+
+/**
+ * This file contains the “gullet” where macros are expanded
+ * until only non-macro tokens remain.
+ */
+// List of commands that act like macros but aren't defined as a macro,
+// function, or symbol.  Used in `isDefined`.
+const implicitCommands = {
+  "\\relax": true,
+  // MacroExpander.js
+  "^": true,
+  // Parser.js
+  "_": true,
+  // Parser.js
+  "\\limits": true,
+  // Parser.js
+  "\\nolimits": true // Parser.js
+
+};
+class MacroExpander {
+  constructor(input, settings, mode) {
+    this.settings = void 0;
+    this.expansionCount = void 0;
+    this.lexer = void 0;
+    this.macros = void 0;
+    this.stack = void 0;
+    this.mode = void 0;
+    this.settings = settings;
+    this.expansionCount = 0;
+    this.feed(input); // Make new global namespace
+
+    this.macros = new Namespace(builtinMacros, settings.macros);
+    this.mode = mode;
+    this.stack = []; // contains tokens in REVERSE order
+  }
+  /**
+   * Feed a new input string to the same MacroExpander
+   * (with existing macros etc.).
+   */
+
+
+  feed(input) {
+    this.lexer = new Lexer(input, this.settings);
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+
+
+  switchMode(newMode) {
+    this.mode = newMode;
+  }
+  /**
+   * Start a new group nesting within all namespaces.
+   */
+
+
+  beginGroup() {
+    this.macros.beginGroup();
+  }
+  /**
+   * End current group nesting within all namespaces.
+   */
+
+
+  endGroup() {
+    this.macros.endGroup();
+  }
+  /**
+   * Returns the topmost token on the stack, without expanding it.
+   * Similar in behavior to TeX's `\futurelet`.
+   */
+
+
+  future() {
+    if (this.stack.length === 0) {
+      this.pushToken(this.lexer.lex());
+    }
+
+    return this.stack[this.stack.length - 1];
+  }
+  /**
+   * Remove and return the next unexpanded token.
+   */
+
+
+  popToken() {
+    this.future(); // ensure non-empty stack
+
+    return this.stack.pop();
+  }
+  /**
+   * Add a given token to the token stack.  In particular, this get be used
+   * to put back a token returned from one of the other methods.
+   */
+
+
+  pushToken(token) {
+    this.stack.push(token);
+  }
+  /**
+   * Append an array of tokens to the token stack.
+   */
+
+
+  pushTokens(tokens) {
+    this.stack.push(...tokens);
+  }
+  /**
+   * Consume all following space tokens, without expansion.
+   */
+
+
+  consumeSpaces() {
+    for (;;) {
+      const token = this.future();
+
+      if (token.text === " ") {
+        this.stack.pop();
+      } else {
+        break;
+      }
+    }
+  }
+  /**
+   * Consume the specified number of arguments from the token stream,
+   * and return the resulting array of arguments.
+   */
+
+
+  consumeArgs(numArgs) {
+    const args = []; // obtain arguments, either single token or balanced {…} group
+
+    for (let i = 0; i < numArgs; ++i) {
+      this.consumeSpaces(); // ignore spaces before each argument
+
+      const startOfArg = this.popToken();
+
+      if (startOfArg.text === "{") {
+        const arg = [];
+        let depth = 1;
+
+        while (depth !== 0) {
+          const tok = this.popToken();
+          arg.push(tok);
+
+          if (tok.text === "{") {
+            ++depth;
+          } else if (tok.text === "}") {
+            --depth;
+          } else if (tok.text === "EOF") {
+            throw new ParseError("End of input in macro argument", startOfArg);
+          }
+        }
+
+        arg.pop(); // remove last }
+
+        arg.reverse(); // like above, to fit in with stack order
+
+        args[i] = arg;
+      } else if (startOfArg.text === "EOF") {
+        throw new ParseError("End of input expecting macro argument");
+      } else {
+        args[i] = [startOfArg];
+      }
+    }
+
+    return args;
+  }
+  /**
+   * Expand the next token only once if possible.
+   *
+   * If the token is expanded, the resulting tokens will be pushed onto
+   * the stack in reverse order and will be returned as an array,
+   * also in reverse order.
+   *
+   * If not, the next token will be returned without removing it
+   * from the stack.  This case can be detected by a `Token` return value
+   * instead of an `Array` return value.
+   *
+   * In either case, the next token will be on the top of the stack,
+   * or the stack will be empty.
+   *
+   * Used to implement `expandAfterFuture` and `expandNextToken`.
+   *
+   * At the moment, macro expansion doesn't handle delimited macros,
+   * i.e. things like those defined by \def\foo#1\end{…}.
+   * See the TeX book page 202ff. for details on how those should behave.
+   */
+
+
+  expandOnce() {
+    const topToken = this.popToken();
+    const name = topToken.text;
+
+    const expansion = this._getExpansion(name);
+
+    if (expansion == null) {
+      // mainly checking for undefined here
+      // Fully expanded
+      this.pushToken(topToken);
+      return topToken;
+    }
+
+    this.expansionCount++;
+
+    if (this.expansionCount > this.settings.maxExpand) {
+      throw new ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting");
+    }
+
+    let tokens = expansion.tokens;
+
+    if (expansion.numArgs) {
+      const args = this.consumeArgs(expansion.numArgs); // paste arguments in place of the placeholders
+
+      tokens = tokens.slice(); // make a shallow copy
+
+      for (let i = tokens.length - 1; i >= 0; --i) {
+        let tok = tokens[i];
+
+        if (tok.text === "#") {
+          if (i === 0) {
+            throw new ParseError("Incomplete placeholder at end of macro body", tok);
+          }
+
+          tok = tokens[--i]; // next token on stack
+
+          if (tok.text === "#") {
+            // ## → #
+            tokens.splice(i + 1, 1); // drop first #
+          } else if (/^[1-9]$/.test(tok.text)) {
+            // replace the placeholder with the indicated argument
+            tokens.splice(i, 2, ...args[+tok.text - 1]);
+          } else {
+            throw new ParseError("Not a valid argument number", tok);
+          }
+        }
+      }
+    } // Concatenate expansion onto top of stack.
+
+
+    this.pushTokens(tokens);
+    return tokens;
+  }
+  /**
+   * Expand the next token only once (if possible), and return the resulting
+   * top token on the stack (without removing anything from the stack).
+   * Similar in behavior to TeX's `\expandafter\futurelet`.
+   * Equivalent to expandOnce() followed by future().
+   */
+
+
+  expandAfterFuture() {
+    this.expandOnce();
+    return this.future();
+  }
+  /**
+   * Recursively expand first token, then return first non-expandable token.
+   */
+
+
+  expandNextToken() {
+    for (;;) {
+      const expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token) {
+        // \relax stops the expansion, but shouldn't get returned (a
+        // null return value couldn't get implemented as a function).
+        if (expanded.text === "\\relax") {
+          this.stack.pop();
+        } else {
+          return this.stack.pop(); // === expanded
+        }
+      }
+    } // Flow unable to figure out that this pathway is impossible.
+    // https://github.com/facebook/flow/issues/4808
+
+
+    throw new Error(); // eslint-disable-line no-unreachable
+  }
+  /**
+   * Fully expand the given macro name and return the resulting list of
+   * tokens, or return `undefined` if no such macro is defined.
+   */
+
+
+  expandMacro(name) {
+    if (!this.macros.get(name)) {
+      return undefined;
+    }
+
+    const output = [];
+    const oldStackLength = this.stack.length;
+    this.pushToken(new Token(name));
+
+    while (this.stack.length > oldStackLength) {
+      const expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token) {
+        output.push(this.stack.pop());
+      }
+    }
+
+    return output;
+  }
+  /**
+   * Fully expand the given macro name and return the result as a string,
+   * or return `undefined` if no such macro is defined.
+   */
+
+
+  expandMacroAsText(name) {
+    const tokens = this.expandMacro(name);
+
+    if (tokens) {
+      return tokens.map(token => token.text).join("");
+    } else {
+      return tokens;
+    }
+  }
+  /**
+   * Returns the expanded macro as a reversed array of tokens and a macro
+   * argument count.  Or returns `null` if no such macro.
+   */
+
+
+  _getExpansion(name) {
+    const definition = this.macros.get(name);
+
+    if (definition == null) {
+      // mainly checking for undefined here
+      return definition;
+    }
+
+    const expansion = typeof definition === "function" ? definition(this) : definition;
+
+    if (typeof expansion === "string") {
+      let numArgs = 0;
+
+      if (expansion.indexOf("#") !== -1) {
+        const stripped = expansion.replace(/##/g, "");
+
+        while (stripped.indexOf("#" + (numArgs + 1)) !== -1) {
+          ++numArgs;
+        }
+      }
+
+      const bodyLexer = new Lexer(expansion, this.settings);
+      const tokens = [];
+      let tok = bodyLexer.lex();
+
+      while (tok.text !== "EOF") {
+        tokens.push(tok);
+        tok = bodyLexer.lex();
+      }
+
+      tokens.reverse(); // to fit in with stack using push and pop
+
+      const expanded = {
+        tokens,
+        numArgs
+      };
+      return expanded;
+    }
+
+    return expansion;
+  }
+  /**
+   * Determine whether a command is currently "defined" (has some
+   * functionality), meaning that it's a macro (in the current group),
+   * a function, a symbol, or one of the special commands listed in
+   * `implicitCommands`.
+   */
+
+
+  isDefined(name) {
+    return this.macros.has(name) || functions.hasOwnProperty(name) || symbols.math.hasOwnProperty(name) || symbols.text.hasOwnProperty(name) || implicitCommands.hasOwnProperty(name);
+  }
+
+}
+
+// Mapping of Unicode accent characters to their LaTeX equivalent in text and
+// math mode (when they exist).
+var unicodeAccents = {
+  '\u0301': {
+    text: "\\'",
+    math: '\\acute'
+  },
+  '\u0300': {
+    text: '\\`',
+    math: '\\grave'
+  },
+  '\u0308': {
+    text: '\\"',
+    math: '\\ddot'
+  },
+  '\u0303': {
+    text: '\\~',
+    math: '\\tilde'
+  },
+  '\u0304': {
+    text: '\\=',
+    math: '\\bar'
+  },
+  '\u0306': {
+    text: '\\u',
+    math: '\\breve'
+  },
+  '\u030c': {
+    text: '\\v',
+    math: '\\check'
+  },
+  '\u0302': {
+    text: '\\^',
+    math: '\\hat'
+  },
+  '\u0307': {
+    text: '\\.',
+    math: '\\dot'
+  },
+  '\u030a': {
+    text: '\\r',
+    math: '\\mathring'
+  },
+  '\u030b': {
+    text: '\\H'
+  }
+};
+
+// This file is GENERATED by unicodeMake.js. DO NOT MODIFY.
+var unicodeSymbols = {
+  "\u00e1": "\u0061\u0301",
+  // á = \'{a}
+  "\u00e0": "\u0061\u0300",
+  // à = \`{a}
+  "\u00e4": "\u0061\u0308",
+  // ä = \"{a}
+  "\u01df": "\u0061\u0308\u0304",
+  // ǟ = \"\={a}
+  "\u00e3": "\u0061\u0303",
+  // ã = \~{a}
+  "\u0101": "\u0061\u0304",
+  // ā = \={a}
+  "\u0103": "\u0061\u0306",
+  // ă = \u{a}
+  "\u1eaf": "\u0061\u0306\u0301",
+  // ắ = \u\'{a}
+  "\u1eb1": "\u0061\u0306\u0300",
+  // ằ = \u\`{a}
+  "\u1eb5": "\u0061\u0306\u0303",
+  // ẵ = \u\~{a}
+  "\u01ce": "\u0061\u030c",
+  // ǎ = \v{a}
+  "\u00e2": "\u0061\u0302",
+  // â = \^{a}
+  "\u1ea5": "\u0061\u0302\u0301",
+  // ấ = \^\'{a}
+  "\u1ea7": "\u0061\u0302\u0300",
+  // ầ = \^\`{a}
+  "\u1eab": "\u0061\u0302\u0303",
+  // ẫ = \^\~{a}
+  "\u0227": "\u0061\u0307",
+  // ȧ = \.{a}
+  "\u01e1": "\u0061\u0307\u0304",
+  // ǡ = \.\={a}
+  "\u00e5": "\u0061\u030a",
+  // å = \r{a}
+  "\u01fb": "\u0061\u030a\u0301",
+  // ǻ = \r\'{a}
+  "\u1e03": "\u0062\u0307",
+  // ḃ = \.{b}
+  "\u0107": "\u0063\u0301",
+  // ć = \'{c}
+  "\u010d": "\u0063\u030c",
+  // č = \v{c}
+  "\u0109": "\u0063\u0302",
+  // ĉ = \^{c}
+  "\u010b": "\u0063\u0307",
+  // ċ = \.{c}
+  "\u010f": "\u0064\u030c",
+  // ď = \v{d}
+  "\u1e0b": "\u0064\u0307",
+  // ḋ = \.{d}
+  "\u00e9": "\u0065\u0301",
+  // é = \'{e}
+  "\u00e8": "\u0065\u0300",
+  // è = \`{e}
+  "\u00eb": "\u0065\u0308",
+  // ë = \"{e}
+  "\u1ebd": "\u0065\u0303",
+  // ẽ = \~{e}
+  "\u0113": "\u0065\u0304",
+  // ē = \={e}
+  "\u1e17": "\u0065\u0304\u0301",
+  // ḗ = \=\'{e}
+  "\u1e15": "\u0065\u0304\u0300",
+  // ḕ = \=\`{e}
+  "\u0115": "\u0065\u0306",
+  // ĕ = \u{e}
+  "\u011b": "\u0065\u030c",
+  // ě = \v{e}
+  "\u00ea": "\u0065\u0302",
+  // ê = \^{e}
+  "\u1ebf": "\u0065\u0302\u0301",
+  // ế = \^\'{e}
+  "\u1ec1": "\u0065\u0302\u0300",
+  // ề = \^\`{e}
+  "\u1ec5": "\u0065\u0302\u0303",
+  // ễ = \^\~{e}
+  "\u0117": "\u0065\u0307",
+  // ė = \.{e}
+  "\u1e1f": "\u0066\u0307",
+  // ḟ = \.{f}
+  "\u01f5": "\u0067\u0301",
+  // ǵ = \'{g}
+  "\u1e21": "\u0067\u0304",
+  // ḡ = \={g}
+  "\u011f": "\u0067\u0306",
+  // ğ = \u{g}
+  "\u01e7": "\u0067\u030c",
+  // ǧ = \v{g}
+  "\u011d": "\u0067\u0302",
+  // ĝ = \^{g}
+  "\u0121": "\u0067\u0307",
+  // ġ = \.{g}
+  "\u1e27": "\u0068\u0308",
+  // ḧ = \"{h}
+  "\u021f": "\u0068\u030c",
+  // ȟ = \v{h}
+  "\u0125": "\u0068\u0302",
+  // ĥ = \^{h}
+  "\u1e23": "\u0068\u0307",
+  // ḣ = \.{h}
+  "\u00ed": "\u0069\u0301",
+  // í = \'{i}
+  "\u00ec": "\u0069\u0300",
+  // ì = \`{i}
+  "\u00ef": "\u0069\u0308",
+  // ï = \"{i}
+  "\u1e2f": "\u0069\u0308\u0301",
+  // ḯ = \"\'{i}
+  "\u0129": "\u0069\u0303",
+  // ĩ = \~{i}
+  "\u012b": "\u0069\u0304",
+  // ī = \={i}
+  "\u012d": "\u0069\u0306",
+  // ĭ = \u{i}
+  "\u01d0": "\u0069\u030c",
+  // ǐ = \v{i}
+  "\u00ee": "\u0069\u0302",
+  // î = \^{i}
+  "\u01f0": "\u006a\u030c",
+  // ǰ = \v{j}
+  "\u0135": "\u006a\u0302",
+  // ĵ = \^{j}
+  "\u1e31": "\u006b\u0301",
+  // ḱ = \'{k}
+  "\u01e9": "\u006b\u030c",
+  // ǩ = \v{k}
+  "\u013a": "\u006c\u0301",
+  // ĺ = \'{l}
+  "\u013e": "\u006c\u030c",
+  // ľ = \v{l}
+  "\u1e3f": "\u006d\u0301",
+  // ḿ = \'{m}
+  "\u1e41": "\u006d\u0307",
+  // ṁ = \.{m}
+  "\u0144": "\u006e\u0301",
+  // ń = \'{n}
+  "\u01f9": "\u006e\u0300",
+  // ǹ = \`{n}
+  "\u00f1": "\u006e\u0303",
+  // ñ = \~{n}
+  "\u0148": "\u006e\u030c",
+  // ň = \v{n}
+  "\u1e45": "\u006e\u0307",
+  // ṅ = \.{n}
+  "\u00f3": "\u006f\u0301",
+  // ó = \'{o}
+  "\u00f2": "\u006f\u0300",
+  // ò = \`{o}
+  "\u00f6": "\u006f\u0308",
+  // ö = \"{o}
+  "\u022b": "\u006f\u0308\u0304",
+  // ȫ = \"\={o}
+  "\u00f5": "\u006f\u0303",
+  // õ = \~{o}
+  "\u1e4d": "\u006f\u0303\u0301",
+  // ṍ = \~\'{o}
+  "\u1e4f": "\u006f\u0303\u0308",
+  // ṏ = \~\"{o}
+  "\u022d": "\u006f\u0303\u0304",
+  // ȭ = \~\={o}
+  "\u014d": "\u006f\u0304",
+  // ō = \={o}
+  "\u1e53": "\u006f\u0304\u0301",
+  // ṓ = \=\'{o}
+  "\u1e51": "\u006f\u0304\u0300",
+  // ṑ = \=\`{o}
+  "\u014f": "\u006f\u0306",
+  // ŏ = \u{o}
+  "\u01d2": "\u006f\u030c",
+  // ǒ = \v{o}
+  "\u00f4": "\u006f\u0302",
+  // ô = \^{o}
+  "\u1ed1": "\u006f\u0302\u0301",
+  // ố = \^\'{o}
+  "\u1ed3": "\u006f\u0302\u0300",
+  // ồ = \^\`{o}
+  "\u1ed7": "\u006f\u0302\u0303",
+  // ỗ = \^\~{o}
+  "\u022f": "\u006f\u0307",
+  // ȯ = \.{o}
+  "\u0231": "\u006f\u0307\u0304",
+  // ȱ = \.\={o}
+  "\u0151": "\u006f\u030b",
+  // ő = \H{o}
+  "\u1e55": "\u0070\u0301",
+  // ṕ = \'{p}
+  "\u1e57": "\u0070\u0307",
+  // ṗ = \.{p}
+  "\u0155": "\u0072\u0301",
+  // ŕ = \'{r}
+  "\u0159": "\u0072\u030c",
+  // ř = \v{r}
+  "\u1e59": "\u0072\u0307",
+  // ṙ = \.{r}
+  "\u015b": "\u0073\u0301",
+  // ś = \'{s}
+  "\u1e65": "\u0073\u0301\u0307",
+  // ṥ = \'\.{s}
+  "\u0161": "\u0073\u030c",
+  // š = \v{s}
+  "\u1e67": "\u0073\u030c\u0307",
+  // ṧ = \v\.{s}
+  "\u015d": "\u0073\u0302",
+  // ŝ = \^{s}
+  "\u1e61": "\u0073\u0307",
+  // ṡ = \.{s}
+  "\u1e97": "\u0074\u0308",
+  // ẗ = \"{t}
+  "\u0165": "\u0074\u030c",
+  // ť = \v{t}
+  "\u1e6b": "\u0074\u0307",
+  // ṫ = \.{t}
+  "\u00fa": "\u0075\u0301",
+  // ú = \'{u}
+  "\u00f9": "\u0075\u0300",
+  // ù = \`{u}
+  "\u00fc": "\u0075\u0308",
+  // ü = \"{u}
+  "\u01d8": "\u0075\u0308\u0301",
+  // ǘ = \"\'{u}
+  "\u01dc": "\u0075\u0308\u0300",
+  // ǜ = \"\`{u}
+  "\u01d6": "\u0075\u0308\u0304",
+  // ǖ = \"\={u}
+  "\u01da": "\u0075\u0308\u030c",
+  // ǚ = \"\v{u}
+  "\u0169": "\u0075\u0303",
+  // ũ = \~{u}
+  "\u1e79": "\u0075\u0303\u0301",
+  // ṹ = \~\'{u}
+  "\u016b": "\u0075\u0304",
+  // ū = \={u}
+  "\u1e7b": "\u0075\u0304\u0308",
+  // ṻ = \=\"{u}
+  "\u016d": "\u0075\u0306",
+  // ŭ = \u{u}
+  "\u01d4": "\u0075\u030c",
+  // ǔ = \v{u}
+  "\u00fb": "\u0075\u0302",
+  // û = \^{u}
+  "\u016f": "\u0075\u030a",
+  // ů = \r{u}
+  "\u0171": "\u0075\u030b",
+  // ű = \H{u}
+  "\u1e7d": "\u0076\u0303",
+  // ṽ = \~{v}
+  "\u1e83": "\u0077\u0301",
+  // ẃ = \'{w}
+  "\u1e81": "\u0077\u0300",
+  // ẁ = \`{w}
+  "\u1e85": "\u0077\u0308",
+  // ẅ = \"{w}
+  "\u0175": "\u0077\u0302",
+  // ŵ = \^{w}
+  "\u1e87": "\u0077\u0307",
+  // ẇ = \.{w}
+  "\u1e98": "\u0077\u030a",
+  // ẘ = \r{w}
+  "\u1e8d": "\u0078\u0308",
+  // ẍ = \"{x}
+  "\u1e8b": "\u0078\u0307",
+  // ẋ = \.{x}
+  "\u00fd": "\u0079\u0301",
+  // ý = \'{y}
+  "\u1ef3": "\u0079\u0300",
+  // ỳ = \`{y}
+  "\u00ff": "\u0079\u0308",
+  // ÿ = \"{y}
+  "\u1ef9": "\u0079\u0303",
+  // ỹ = \~{y}
+  "\u0233": "\u0079\u0304",
+  // ȳ = \={y}
+  "\u0177": "\u0079\u0302",
+  // ŷ = \^{y}
+  "\u1e8f": "\u0079\u0307",
+  // ẏ = \.{y}
+  "\u1e99": "\u0079\u030a",
+  // ẙ = \r{y}
+  "\u017a": "\u007a\u0301",
+  // ź = \'{z}
+  "\u017e": "\u007a\u030c",
+  // ž = \v{z}
+  "\u1e91": "\u007a\u0302",
+  // ẑ = \^{z}
+  "\u017c": "\u007a\u0307",
+  // ż = \.{z}
+  "\u00c1": "\u0041\u0301",
+  // Á = \'{A}
+  "\u00c0": "\u0041\u0300",
+  // À = \`{A}
+  "\u00c4": "\u0041\u0308",
+  // Ä = \"{A}
+  "\u01de": "\u0041\u0308\u0304",
+  // Ǟ = \"\={A}
+  "\u00c3": "\u0041\u0303",
+  // Ã = \~{A}
+  "\u0100": "\u0041\u0304",
+  // Ā = \={A}
+  "\u0102": "\u0041\u0306",
+  // Ă = \u{A}
+  "\u1eae": "\u0041\u0306\u0301",
+  // Ắ = \u\'{A}
+  "\u1eb0": "\u0041\u0306\u0300",
+  // Ằ = \u\`{A}
+  "\u1eb4": "\u0041\u0306\u0303",
+  // Ẵ = \u\~{A}
+  "\u01cd": "\u0041\u030c",
+  // Ǎ = \v{A}
+  "\u00c2": "\u0041\u0302",
+  // Â = \^{A}
+  "\u1ea4": "\u0041\u0302\u0301",
+  // Ấ = \^\'{A}
+  "\u1ea6": "\u0041\u0302\u0300",
+  // Ầ = \^\`{A}
+  "\u1eaa": "\u0041\u0302\u0303",
+  // Ẫ = \^\~{A}
+  "\u0226": "\u0041\u0307",
+  // Ȧ = \.{A}
+  "\u01e0": "\u0041\u0307\u0304",
+  // Ǡ = \.\={A}
+  "\u00c5": "\u0041\u030a",
+  // Å = \r{A}
+  "\u01fa": "\u0041\u030a\u0301",
+  // Ǻ = \r\'{A}
+  "\u1e02": "\u0042\u0307",
+  // Ḃ = \.{B}
+  "\u0106": "\u0043\u0301",
+  // Ć = \'{C}
+  "\u010c": "\u0043\u030c",
+  // Č = \v{C}
+  "\u0108": "\u0043\u0302",
+  // Ĉ = \^{C}
+  "\u010a": "\u0043\u0307",
+  // Ċ = \.{C}
+  "\u010e": "\u0044\u030c",
+  // Ď = \v{D}
+  "\u1e0a": "\u0044\u0307",
+  // Ḋ = \.{D}
+  "\u00c9": "\u0045\u0301",
+  // É = \'{E}
+  "\u00c8": "\u0045\u0300",
+  // È = \`{E}
+  "\u00cb": "\u0045\u0308",
+  // Ë = \"{E}
+  "\u1ebc": "\u0045\u0303",
+  // Ẽ = \~{E}
+  "\u0112": "\u0045\u0304",
+  // Ē = \={E}
+  "\u1e16": "\u0045\u0304\u0301",
+  // Ḗ = \=\'{E}
+  "\u1e14": "\u0045\u0304\u0300",
+  // Ḕ = \=\`{E}
+  "\u0114": "\u0045\u0306",
+  // Ĕ = \u{E}
+  "\u011a": "\u0045\u030c",
+  // Ě = \v{E}
+  "\u00ca": "\u0045\u0302",
+  // Ê = \^{E}
+  "\u1ebe": "\u0045\u0302\u0301",
+  // Ế = \^\'{E}
+  "\u1ec0": "\u0045\u0302\u0300",
+  // Ề = \^\`{E}
+  "\u1ec4": "\u0045\u0302\u0303",
+  // Ễ = \^\~{E}
+  "\u0116": "\u0045\u0307",
+  // Ė = \.{E}
+  "\u1e1e": "\u0046\u0307",
+  // Ḟ = \.{F}
+  "\u01f4": "\u0047\u0301",
+  // Ǵ = \'{G}
+  "\u1e20": "\u0047\u0304",
+  // Ḡ = \={G}
+  "\u011e": "\u0047\u0306",
+  // Ğ = \u{G}
+  "\u01e6": "\u0047\u030c",
+  // Ǧ = \v{G}
+  "\u011c": "\u0047\u0302",
+  // Ĝ = \^{G}
+  "\u0120": "\u0047\u0307",
+  // Ġ = \.{G}
+  "\u1e26": "\u0048\u0308",
+  // Ḧ = \"{H}
+  "\u021e": "\u0048\u030c",
+  // Ȟ = \v{H}
+  "\u0124": "\u0048\u0302",
+  // Ĥ = \^{H}
+  "\u1e22": "\u0048\u0307",
+  // Ḣ = \.{H}
+  "\u00cd": "\u0049\u0301",
+  // Í = \'{I}
+  "\u00cc": "\u0049\u0300",
+  // Ì = \`{I}
+  "\u00cf": "\u0049\u0308",
+  // Ï = \"{I}
+  "\u1e2e": "\u0049\u0308\u0301",
+  // Ḯ = \"\'{I}
+  "\u0128": "\u0049\u0303",
+  // Ĩ = \~{I}
+  "\u012a": "\u0049\u0304",
+  // Ī = \={I}
+  "\u012c": "\u0049\u0306",
+  // Ĭ = \u{I}
+  "\u01cf": "\u0049\u030c",
+  // Ǐ = \v{I}
+  "\u00ce": "\u0049\u0302",
+  // Î = \^{I}
+  "\u0130": "\u0049\u0307",
+  // İ = \.{I}
+  "\u0134": "\u004a\u0302",
+  // Ĵ = \^{J}
+  "\u1e30": "\u004b\u0301",
+  // Ḱ = \'{K}
+  "\u01e8": "\u004b\u030c",
+  // Ǩ = \v{K}
+  "\u0139": "\u004c\u0301",
+  // Ĺ = \'{L}
+  "\u013d": "\u004c\u030c",
+  // Ľ = \v{L}
+  "\u1e3e": "\u004d\u0301",
+  // Ḿ = \'{M}
+  "\u1e40": "\u004d\u0307",
+  // Ṁ = \.{M}
+  "\u0143": "\u004e\u0301",
+  // Ń = \'{N}
+  "\u01f8": "\u004e\u0300",
+  // Ǹ = \`{N}
+  "\u00d1": "\u004e\u0303",
+  // Ñ = \~{N}
+  "\u0147": "\u004e\u030c",
+  // Ň = \v{N}
+  "\u1e44": "\u004e\u0307",
+  // Ṅ = \.{N}
+  "\u00d3": "\u004f\u0301",
+  // Ó = \'{O}
+  "\u00d2": "\u004f\u0300",
+  // Ò = \`{O}
+  "\u00d6": "\u004f\u0308",
+  // Ö = \"{O}
+  "\u022a": "\u004f\u0308\u0304",
+  // Ȫ = \"\={O}
+  "\u00d5": "\u004f\u0303",
+  // Õ = \~{O}
+  "\u1e4c": "\u004f\u0303\u0301",
+  // Ṍ = \~\'{O}
+  "\u1e4e": "\u004f\u0303\u0308",
+  // Ṏ = \~\"{O}
+  "\u022c": "\u004f\u0303\u0304",
+  // Ȭ = \~\={O}
+  "\u014c": "\u004f\u0304",
+  // Ō = \={O}
+  "\u1e52": "\u004f\u0304\u0301",
+  // Ṓ = \=\'{O}
+  "\u1e50": "\u004f\u0304\u0300",
+  // Ṑ = \=\`{O}
+  "\u014e": "\u004f\u0306",
+  // Ŏ = \u{O}
+  "\u01d1": "\u004f\u030c",
+  // Ǒ = \v{O}
+  "\u00d4": "\u004f\u0302",
+  // Ô = \^{O}
+  "\u1ed0": "\u004f\u0302\u0301",
+  // Ố = \^\'{O}
+  "\u1ed2": "\u004f\u0302\u0300",
+  // Ồ = \^\`{O}
+  "\u1ed6": "\u004f\u0302\u0303",
+  // Ỗ = \^\~{O}
+  "\u022e": "\u004f\u0307",
+  // Ȯ = \.{O}
+  "\u0230": "\u004f\u0307\u0304",
+  // Ȱ = \.\={O}
+  "\u0150": "\u004f\u030b",
+  // Ő = \H{O}
+  "\u1e54": "\u0050\u0301",
+  // Ṕ = \'{P}
+  "\u1e56": "\u0050\u0307",
+  // Ṗ = \.{P}
+  "\u0154": "\u0052\u0301",
+  // Ŕ = \'{R}
+  "\u0158": "\u0052\u030c",
+  // Ř = \v{R}
+  "\u1e58": "\u0052\u0307",
+  // Ṙ = \.{R}
+  "\u015a": "\u0053\u0301",
+  // Ś = \'{S}
+  "\u1e64": "\u0053\u0301\u0307",
+  // Ṥ = \'\.{S}
+  "\u0160": "\u0053\u030c",
+  // Š = \v{S}
+  "\u1e66": "\u0053\u030c\u0307",
+  // Ṧ = \v\.{S}
+  "\u015c": "\u0053\u0302",
+  // Ŝ = \^{S}
+  "\u1e60": "\u0053\u0307",
+  // Ṡ = \.{S}
+  "\u0164": "\u0054\u030c",
+  // Ť = \v{T}
+  "\u1e6a": "\u0054\u0307",
+  // Ṫ = \.{T}
+  "\u00da": "\u0055\u0301",
+  // Ú = \'{U}
+  "\u00d9": "\u0055\u0300",
+  // Ù = \`{U}
+  "\u00dc": "\u0055\u0308",
+  // Ü = \"{U}
+  "\u01d7": "\u0055\u0308\u0301",
+  // Ǘ = \"\'{U}
+  "\u01db": "\u0055\u0308\u0300",
+  // Ǜ = \"\`{U}
+  "\u01d5": "\u0055\u0308\u0304",
+  // Ǖ = \"\={U}
+  "\u01d9": "\u0055\u0308\u030c",
+  // Ǚ = \"\v{U}
+  "\u0168": "\u0055\u0303",
+  // Ũ = \~{U}
+  "\u1e78": "\u0055\u0303\u0301",
+  // Ṹ = \~\'{U}
+  "\u016a": "\u0055\u0304",
+  // Ū = \={U}
+  "\u1e7a": "\u0055\u0304\u0308",
+  // Ṻ = \=\"{U}
+  "\u016c": "\u0055\u0306",
+  // Ŭ = \u{U}
+  "\u01d3": "\u0055\u030c",
+  // Ǔ = \v{U}
+  "\u00db": "\u0055\u0302",
+  // Û = \^{U}
+  "\u016e": "\u0055\u030a",
+  // Ů = \r{U}
+  "\u0170": "\u0055\u030b",
+  // Ű = \H{U}
+  "\u1e7c": "\u0056\u0303",
+  // Ṽ = \~{V}
+  "\u1e82": "\u0057\u0301",
+  // Ẃ = \'{W}
+  "\u1e80": "\u0057\u0300",
+  // Ẁ = \`{W}
+  "\u1e84": "\u0057\u0308",
+  // Ẅ = \"{W}
+  "\u0174": "\u0057\u0302",
+  // Ŵ = \^{W}
+  "\u1e86": "\u0057\u0307",
+  // Ẇ = \.{W}
+  "\u1e8c": "\u0058\u0308",
+  // Ẍ = \"{X}
+  "\u1e8a": "\u0058\u0307",
+  // Ẋ = \.{X}
+  "\u00dd": "\u0059\u0301",
+  // Ý = \'{Y}
+  "\u1ef2": "\u0059\u0300",
+  // Ỳ = \`{Y}
+  "\u0178": "\u0059\u0308",
+  // Ÿ = \"{Y}
+  "\u1ef8": "\u0059\u0303",
+  // Ỹ = \~{Y}
+  "\u0232": "\u0059\u0304",
+  // Ȳ = \={Y}
+  "\u0176": "\u0059\u0302",
+  // Ŷ = \^{Y}
+  "\u1e8e": "\u0059\u0307",
+  // Ẏ = \.{Y}
+  "\u0179": "\u005a\u0301",
+  // Ź = \'{Z}
+  "\u017d": "\u005a\u030c",
+  // Ž = \v{Z}
+  "\u1e90": "\u005a\u0302",
+  // Ẑ = \^{Z}
+  "\u017b": "\u005a\u0307",
+  // Ż = \.{Z}
+  "\u03ac": "\u03b1\u0301",
+  // ά = \'{α}
+  "\u1f70": "\u03b1\u0300",
+  // ὰ = \`{α}
+  "\u1fb1": "\u03b1\u0304",
+  // ᾱ = \={α}
+  "\u1fb0": "\u03b1\u0306",
+  // ᾰ = \u{α}
+  "\u03ad": "\u03b5\u0301",
+  // έ = \'{ε}
+  "\u1f72": "\u03b5\u0300",
+  // ὲ = \`{ε}
+  "\u03ae": "\u03b7\u0301",
+  // ή = \'{η}
+  "\u1f74": "\u03b7\u0300",
+  // ὴ = \`{η}
+  "\u03af": "\u03b9\u0301",
+  // ί = \'{ι}
+  "\u1f76": "\u03b9\u0300",
+  // ὶ = \`{ι}
+  "\u03ca": "\u03b9\u0308",
+  // ϊ = \"{ι}
+  "\u0390": "\u03b9\u0308\u0301",
+  // ΐ = \"\'{ι}
+  "\u1fd2": "\u03b9\u0308\u0300",
+  // ῒ = \"\`{ι}
+  "\u1fd1": "\u03b9\u0304",
+  // ῑ = \={ι}
+  "\u1fd0": "\u03b9\u0306",
+  // ῐ = \u{ι}
+  "\u03cc": "\u03bf\u0301",
+  // ό = \'{ο}
+  "\u1f78": "\u03bf\u0300",
+  // ὸ = \`{ο}
+  "\u03cd": "\u03c5\u0301",
+  // ύ = \'{υ}
+  "\u1f7a": "\u03c5\u0300",
+  // ὺ = \`{υ}
+  "\u03cb": "\u03c5\u0308",
+  // ϋ = \"{υ}
+  "\u03b0": "\u03c5\u0308\u0301",
+  // ΰ = \"\'{υ}
+  "\u1fe2": "\u03c5\u0308\u0300",
+  // ῢ = \"\`{υ}
+  "\u1fe1": "\u03c5\u0304",
+  // ῡ = \={υ}
+  "\u1fe0": "\u03c5\u0306",
+  // ῠ = \u{υ}
+  "\u03ce": "\u03c9\u0301",
+  // ώ = \'{ω}
+  "\u1f7c": "\u03c9\u0300",
+  // ὼ = \`{ω}
+  "\u038e": "\u03a5\u0301",
+  // Ύ = \'{Υ}
+  "\u1fea": "\u03a5\u0300",
+  // Ὺ = \`{Υ}
+  "\u03ab": "\u03a5\u0308",
+  // Ϋ = \"{Υ}
+  "\u1fe9": "\u03a5\u0304",
+  // Ῡ = \={Υ}
+  "\u1fe8": "\u03a5\u0306",
+  // Ῠ = \u{Υ}
+  "\u038f": "\u03a9\u0301",
+  // Ώ = \'{Ω}
+  "\u1ffa": "\u03a9\u0300" // Ὼ = \`{Ω}
+
+};
+
+/* eslint no-constant-condition:0 */
+
+/**
+ * This file contains the parser used to parse out a TeX expression from the
+ * input. Since TeX isn't context-free, standard parsers don't work particularly
+ * well.
+ *
+ * The strategy of this parser is as such:
+ *
+ * The main functions (the `.parse...` ones) take a position in the current
+ * parse string to parse tokens from. The lexer (found in Lexer.js, stored at
+ * this.gullet.lexer) also supports pulling out tokens at arbitrary places. When
+ * individual tokens are needed at a position, the lexer is called to pull out a
+ * token, which is then used.
+ *
+ * The parser has a property called "mode" indicating the mode that
+ * the parser is currently in. Currently it has to be one of "math" or
+ * "text", which denotes whether the current environment is a math-y
+ * one or a text-y one (e.g. inside \text). Currently, this serves to
+ * limit the functions which can be used in text mode.
+ *
+ * The main functions then return an object which contains the useful data that
+ * was parsed at its given point, and a new position at the end of the parsed
+ * data. The main functions can call each other and continue the parsing by
+ * using the returned position as a new starting point.
+ *
+ * There are also extra `.handle...` functions, which pull out some reused
+ * functionality into self-contained functions.
+ *
+ * The functions return ParseNodes.
+ */
+class Parser {
+  constructor(input, settings) {
+    this.mode = void 0;
+    this.gullet = void 0;
+    this.settings = void 0;
+    this.leftrightDepth = void 0;
+    this.nextToken = void 0;
+    // Start in math mode
+    this.mode = "math"; // Create a new macro expander (gullet) and (indirectly via that) also a
+    // new lexer (mouth) for this parser (stomach, in the language of TeX)
+
+    this.gullet = new MacroExpander(input, settings, this.mode); // Store the settings for use in parsing
+
+    this.settings = settings; // Count leftright depth (for \middle errors)
+
+    this.leftrightDepth = 0;
+  }
+  /**
+   * Checks a result to make sure it has the right type, and throws an
+   * appropriate error otherwise.
+   */
+
+
+  expect(text, consume) {
+    if (consume === void 0) {
+      consume = true;
+    }
+
+    if (this.fetch().text !== text) {
+      throw new ParseError(`Expected '${text}', got '${this.fetch().text}'`, this.fetch());
+    }
+
+    if (consume) {
+      this.consume();
+    }
+  }
+  /**
+   * Discards the current lookahead token, considering it consumed.
+   */
+
+
+  consume() {
+    this.nextToken = null;
+  }
+  /**
+   * Return the current lookahead token, or if there isn't one (at the
+   * beginning, or if the previous lookahead token was consume()d),
+   * fetch the next token as the new lookahead token and return it.
+   */
+
+
+  fetch() {
+    if (this.nextToken == null) {
+      this.nextToken = this.gullet.expandNextToken();
+    }
+
+    return this.nextToken;
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+
+
+  switchMode(newMode) {
+    this.mode = newMode;
+    this.gullet.switchMode(newMode);
+  }
+  /**
+   * Main parsing function, which parses an entire input.
+   */
+
+
+  parse() {
+    // Create a group namespace for the math expression.
+    // (LaTeX creates a new group for every $...$, $$...$$, \[...\].)
+    this.gullet.beginGroup(); // Use old \color behavior (same as LaTeX's \textcolor) if requested.
+    // We do this within the group for the math expression, so it doesn't
+    // pollute settings.macros.
+
+    if (this.settings.colorIsTextColor) {
+      this.gullet.macros.set("\\color", "\\textcolor");
+    } // Try to parse the input
+
+
+    const parse = this.parseExpression(false); // If we succeeded, make sure there's an EOF at the end
+
+    this.expect("EOF"); // End the group namespace for the expression
+
+    this.gullet.endGroup();
+    return parse;
+  }
+
+  parseExpression(breakOnInfix, breakOnTokenText) {
+    const body = []; // Keep adding atoms to the body until we can't parse any more atoms (either
+    // we reached the end, a }, or a \right)
+
+    while (true) {
+      // Ignore spaces in math mode
+      if (this.mode === "math") {
+        this.consumeSpaces();
+      }
+
+      const lex = this.fetch();
+
+      if (Parser.endOfExpression.indexOf(lex.text) !== -1) {
+        break;
+      }
+
+      if (breakOnTokenText && lex.text === breakOnTokenText) {
+        break;
+      }
+
+      if (breakOnInfix && functions[lex.text] && functions[lex.text].infix) {
+        break;
+      }
+
+      const atom = this.parseAtom(breakOnTokenText);
+
+      if (!atom) {
+        break;
+      }
+
+      body.push(atom);
+    }
+
+    if (this.mode === "text") {
+      this.formLigatures(body);
+    }
+
+    return this.handleInfixNodes(body);
+  }
+  /**
+   * Rewrites infix operators such as \over with corresponding commands such
+   * as \frac.
+   *
+   * There can only be one infix operator per group.  If there's more than one
+   * then the expression is ambiguous.  This can be resolved by adding {}.
+   */
+
+
+  handleInfixNodes(body) {
+    let overIndex = -1;
+    let funcName;
+
+    for (let i = 0; i < body.length; i++) {
+      const node = checkNodeType(body[i], "infix");
+
+      if (node) {
+        if (overIndex !== -1) {
+          throw new ParseError("only one infix operator per group", node.token);
+        }
+
+        overIndex = i;
+        funcName = node.replaceWith;
+      }
+    }
+
+    if (overIndex !== -1 && funcName) {
+      let numerNode;
+      let denomNode;
+      const numerBody = body.slice(0, overIndex);
+      const denomBody = body.slice(overIndex + 1);
+
+      if (numerBody.length === 1 && numerBody[0].type === "ordgroup") {
+        numerNode = numerBody[0];
+      } else {
+        numerNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: numerBody
+        };
+      }
+
+      if (denomBody.length === 1 && denomBody[0].type === "ordgroup") {
+        denomNode = denomBody[0];
+      } else {
+        denomNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: denomBody
+        };
+      }
+
+      let node;
+
+      if (funcName === "\\\\abovefrac") {
+        node = this.callFunction(funcName, [numerNode, body[overIndex], denomNode], []);
+      } else {
+        node = this.callFunction(funcName, [numerNode, denomNode], []);
+      }
+
+      return [node];
+    } else {
+      return body;
+    }
+  } // The greediness of a superscript or subscript
+
+
+  /**
+   * Handle a subscript or superscript with nice errors.
+   */
+  handleSupSubscript(name) {
+    const symbolToken = this.fetch();
+    const symbol = symbolToken.text;
+    this.consume();
+    const group = this.parseGroup(name, false, Parser.SUPSUB_GREEDINESS, undefined, undefined, true); // ignore spaces before sup/subscript argument
+
+    if (!group) {
+      throw new ParseError("Expected group after '" + symbol + "'", symbolToken);
+    }
+
+    return group;
+  }
+  /**
+   * Converts the textual input of an unsupported command into a text node
+   * contained within a color node whose color is determined by errorColor
+   */
+
+
+  formatUnsupportedCmd(text) {
+    const textordArray = [];
+
+    for (let i = 0; i < text.length; i++) {
+      textordArray.push({
+        type: "textord",
+        mode: "text",
+        text: text[i]
+      });
+    }
+
+    const textNode = {
+      type: "text",
+      mode: this.mode,
+      body: textordArray
+    };
+    const colorNode = {
+      type: "color",
+      mode: this.mode,
+      color: this.settings.errorColor,
+      body: [textNode]
+    };
+    return colorNode;
+  }
+  /**
+   * Parses a group with optional super/subscripts.
+   */
+
+
+  parseAtom(breakOnTokenText) {
+    // The body of an atom is an implicit group, so that things like
+    // \left(x\right)^2 work correctly.
+    const base = this.parseGroup("atom", false, null, breakOnTokenText); // In text mode, we don't have superscripts or subscripts
+
+    if (this.mode === "text") {
+      return base;
+    } // Note that base may be empty (i.e. null) at this point.
+
+
+    let superscript;
+    let subscript;
+
+    while (true) {
+      // Guaranteed in math mode, so eat any spaces first.
+      this.consumeSpaces(); // Lex the first token
+
+      const lex = this.fetch();
+
+      if (lex.text === "\\limits" || lex.text === "\\nolimits") {
+        // We got a limit control
+        let opNode = checkNodeType(base, "op");
+
+        if (opNode) {
+          const limits = lex.text === "\\limits";
+          opNode.limits = limits;
+          opNode.alwaysHandleSupSub = true;
+        } else {
+          opNode = checkNodeType(base, "operatorname");
+
+          if (opNode && opNode.alwaysHandleSupSub) {
+            const limits = lex.text === "\\limits";
+            opNode.limits = limits;
+          } else {
+            throw new ParseError("Limit controls must follow a math operator", lex);
+          }
+        }
+
+        this.consume();
+      } else if (lex.text === "^") {
+        // We got a superscript start
+        if (superscript) {
+          throw new ParseError("Double superscript", lex);
+        }
+
+        superscript = this.handleSupSubscript("superscript");
+      } else if (lex.text === "_") {
+        // We got a subscript start
+        if (subscript) {
+          throw new ParseError("Double subscript", lex);
+        }
+
+        subscript = this.handleSupSubscript("subscript");
+      } else if (lex.text === "'") {
+        // We got a prime
+        if (superscript) {
+          throw new ParseError("Double superscript", lex);
+        }
+
+        const prime = {
+          type: "textord",
+          mode: this.mode,
+          text: "\\prime"
+        }; // Many primes can be grouped together, so we handle this here
+
+        const primes = [prime];
+        this.consume(); // Keep lexing tokens until we get something that's not a prime
+
+        while (this.fetch().text === "'") {
+          // For each one, add another prime to the list
+          primes.push(prime);
+          this.consume();
+        } // If there's a superscript following the primes, combine that
+        // superscript in with the primes.
+
+
+        if (this.fetch().text === "^") {
+          primes.push(this.handleSupSubscript("superscript"));
+        } // Put everything into an ordgroup as the superscript
+
+
+        superscript = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: primes
+        };
+      } else {
+        // If it wasn't ^, _, or ', stop parsing super/subscripts
+        break;
+      }
+    } // Base must be set if superscript or subscript are set per logic above,
+    // but need to check here for type check to pass.
+
+
+    if (superscript || subscript) {
+      // If we got either a superscript or subscript, create a supsub
+      return {
+        type: "supsub",
+        mode: this.mode,
+        base: base,
+        sup: superscript,
+        sub: subscript
+      };
+    } else {
+      // Otherwise return the original body
+      return base;
+    }
+  }
+  /**
+   * Parses an entire function, including its base and all of its arguments.
+   */
+
+
+  parseFunction(breakOnTokenText, name, // For error reporting.
+  greediness) {
+    const token = this.fetch();
+    const func = token.text;
+    const funcData = functions[func];
+
+    if (!funcData) {
+      return null;
+    }
+
+    this.consume(); // consume command token
+
+    if (greediness != null && funcData.greediness <= greediness) {
+      throw new ParseError("Got function '" + func + "' with no arguments" + (name ? " as " + name : ""), token);
+    } else if (this.mode === "text" && !funcData.allowedInText) {
+      throw new ParseError("Can't use function '" + func + "' in text mode", token);
+    } else if (this.mode === "math" && funcData.allowedInMath === false) {
+      throw new ParseError("Can't use function '" + func + "' in math mode", token);
+    }
+
+    const _this$parseArguments = this.parseArguments(func, funcData),
+          args = _this$parseArguments.args,
+          optArgs = _this$parseArguments.optArgs;
+
+    return this.callFunction(func, args, optArgs, token, breakOnTokenText);
+  }
+  /**
+   * Call a function handler with a suitable context and arguments.
+   */
+
+
+  callFunction(name, args, optArgs, token, breakOnTokenText) {
+    const context = {
+      funcName: name,
+      parser: this,
+      token,
+      breakOnTokenText
+    };
+    const func = functions[name];
+
+    if (func && func.handler) {
+      return func.handler(context, args, optArgs);
+    } else {
+      throw new ParseError(`No function handler for ${name}`);
+    }
+  }
+  /**
+   * Parses the arguments of a function or environment
+   */
+
+
+  parseArguments(func, // Should look like "\name" or "\begin{name}".
+  funcData) {
+    const totalArgs = funcData.numArgs + funcData.numOptionalArgs;
+
+    if (totalArgs === 0) {
+      return {
+        args: [],
+        optArgs: []
+      };
+    }
+
+    const baseGreediness = funcData.greediness;
+    const args = [];
+    const optArgs = [];
+
+    for (let i = 0; i < totalArgs; i++) {
+      const argType = funcData.argTypes && funcData.argTypes[i];
+      const isOptional = i < funcData.numOptionalArgs; // Ignore spaces between arguments.  As the TeXbook says:
+      // "After you have said ‘\def\row#1#2{...}’, you are allowed to
+      //  put spaces between the arguments (e.g., ‘\row x n’), because
+      //  TeX doesn’t use single spaces as undelimited arguments."
+
+      const consumeSpaces = i > 0 && !isOptional || // Also consume leading spaces in math mode, as parseSymbol
+      // won't know what to do with them.  This can only happen with
+      // macros, e.g. \frac\foo\foo where \foo expands to a space symbol.
+      // In LaTeX, the \foo's get treated as (blank) arguments.
+      // In KaTeX, for now, both spaces will get consumed.
+      // TODO(edemaine)
+      i === 0 && !isOptional && this.mode === "math";
+      const arg = this.parseGroupOfType(`argument to '${func}'`, argType, isOptional, baseGreediness, consumeSpaces);
+
+      if (!arg) {
+        if (isOptional) {
+          optArgs.push(null);
+          continue;
+        }
+
+        throw new ParseError(`Expected group after '${func}'`, this.fetch());
+      }
+
+      (isOptional ? optArgs : args).push(arg);
+    }
+
+    return {
+      args,
+      optArgs
+    };
+  }
+  /**
+   * Parses a group when the mode is changing.
+   */
+
+
+  parseGroupOfType(name, type, optional, greediness, consumeSpaces) {
+    switch (type) {
+      case "color":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseColorGroup(optional);
+
+      case "size":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseSizeGroup(optional);
+
+      case "url":
+        return this.parseUrlGroup(optional, consumeSpaces);
+
+      case "math":
+      case "text":
+        return this.parseGroup(name, optional, greediness, undefined, type, consumeSpaces);
+
+      case "hbox":
+        {
+          // hbox argument type wraps the argument in the equivalent of
+          // \hbox, which is like \text but switching to \textstyle size.
+          const group = this.parseGroup(name, optional, greediness, undefined, "text", consumeSpaces);
+
+          if (!group) {
+            return group;
+          }
+
+          const styledGroup = {
+            type: "styling",
+            mode: group.mode,
+            body: [group],
+            style: "text" // simulate \textstyle
+
+          };
+          return styledGroup;
+        }
+
+      case "raw":
+        {
+          if (consumeSpaces) {
+            this.consumeSpaces();
+          }
+
+          if (optional && this.fetch().text === "{") {
+            return null;
+          }
+
+          const token = this.parseStringGroup("raw", optional, true);
+
+          if (token) {
+            return {
+              type: "raw",
+              mode: "text",
+              string: token.text
+            };
+          } else {
+            throw new ParseError("Expected raw group", this.fetch());
+          }
+        }
+
+      case "original":
+      case null:
+      case undefined:
+        return this.parseGroup(name, optional, greediness, undefined, undefined, consumeSpaces);
+
+      default:
+        throw new ParseError("Unknown group type as " + name, this.fetch());
+    }
+  }
+  /**
+   * Discard any space tokens, fetching the next non-space token.
+   */
+
+
+  consumeSpaces() {
+    while (this.fetch().text === " ") {
+      this.consume();
+    }
+  }
+  /**
+   * Parses a group, essentially returning the string formed by the
+   * brace-enclosed tokens plus some position information.
+   */
+
+
+  parseStringGroup(modeName, // Used to describe the mode in error messages.
+  optional, raw) {
+    const groupBegin = optional ? "[" : "{";
+    const groupEnd = optional ? "]" : "}";
+    const beginToken = this.fetch();
+
+    if (beginToken.text !== groupBegin) {
+      if (optional) {
+        return null;
+      } else if (raw && beginToken.text !== "EOF" && /[^{}[\]]/.test(beginToken.text)) {
+        this.consume();
+        return beginToken;
+      }
+    }
+
+    const outerMode = this.mode;
+    this.mode = "text";
+    this.expect(groupBegin);
+    let str = "";
+    const firstToken = this.fetch();
+    let nested = 0; // allow nested braces in raw string group
+
+    let lastToken = firstToken;
+    let nextToken;
+
+    while ((nextToken = this.fetch()).text !== groupEnd || raw && nested > 0) {
+      switch (nextToken.text) {
+        case "EOF":
+          throw new ParseError("Unexpected end of input in " + modeName, firstToken.range(lastToken, str));
+
+        case groupBegin:
+          nested++;
+          break;
+
+        case groupEnd:
+          nested--;
+          break;
+      }
+
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    this.expect(groupEnd);
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a regex-delimited group: the largest sequence of tokens
+   * whose concatenated strings match `regex`. Returns the string
+   * formed by the tokens plus some position information.
+   */
+
+
+  parseRegexGroup(regex, modeName) {
+    const outerMode = this.mode;
+    this.mode = "text";
+    const firstToken = this.fetch();
+    let lastToken = firstToken;
+    let str = "";
+    let nextToken;
+
+    while ((nextToken = this.fetch()).text !== "EOF" && regex.test(str + nextToken.text)) {
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    if (str === "") {
+      throw new ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken);
+    }
+
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a color description.
+   */
+
+
+  parseColorGroup(optional) {
+    const res = this.parseStringGroup("color", optional);
+
+    if (!res) {
+      return null;
+    }
+
+    const match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text);
+
+    if (!match) {
+      throw new ParseError("Invalid color: '" + res.text + "'", res);
+    }
+
+    let color = match[0];
+
+    if (/^[0-9a-f]{6}$/i.test(color)) {
+      // We allow a 6-digit HTML color spec without a leading "#".
+      // This follows the xcolor package's HTML color model.
+      // Predefined color names are all missed by this RegEx pattern.
+      color = "#" + color;
+    }
+
+    return {
+      type: "color-token",
+      mode: this.mode,
+      color
+    };
+  }
+  /**
+   * Parses a size specification, consisting of magnitude and unit.
+   */
+
+
+  parseSizeGroup(optional) {
+    let res;
+    let isBlank = false;
+
+    if (!optional && this.fetch().text !== "{") {
+      res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size");
+    } else {
+      res = this.parseStringGroup("size", optional);
+    }
+
+    if (!res) {
+      return null;
+    }
+
+    if (!optional && res.text.length === 0) {
+      // Because we've tested for what is !optional, this block won't
+      // affect \kern, \hspace, etc. It will capture the mandatory arguments
+      // to \genfrac and \above.
+      res.text = "0pt"; // Enable \above{}
+
+      isBlank = true; // This is here specifically for \genfrac
+    }
+
+    const match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text);
+
+    if (!match) {
+      throw new ParseError("Invalid size: '" + res.text + "'", res);
+    }
+
+    const data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new ParseError("Invalid unit: '" + data.unit + "'", res);
+    }
+
+    return {
+      type: "size",
+      mode: this.mode,
+      value: data,
+      isBlank
+    };
+  }
+  /**
+   * Parses an URL, checking escaped letters and allowed protocols,
+   * and setting the catcode of % as an active character (as in \hyperref).
+   */
+
+
+  parseUrlGroup(optional, consumeSpaces) {
+    this.gullet.lexer.setCatcode("%", 13); // active character
+
+    const res = this.parseStringGroup("url", optional, true); // get raw string
+
+    this.gullet.lexer.setCatcode("%", 14); // comment character
+
+    if (!res) {
+      return null;
+    } // hyperref package allows backslashes alone in href, but doesn't
+    // generate valid links in such cases; we interpret this as
+    // "undefined" behaviour, and keep them as-is. Some browser will
+    // replace backslashes with forward slashes.
+
+
+    const url = res.text.replace(/\\([#$%&~_^{}])/g, '$1');
+    return {
+      type: "url",
+      mode: this.mode,
+      url
+    };
+  }
+  /**
+   * If `optional` is false or absent, this parses an ordinary group,
+   * which is either a single nucleus (like "x") or an expression
+   * in braces (like "{x+y}") or an implicit group, a group that starts
+   * at the current position, and ends right before a higher explicit
+   * group ends, or at EOF.
+   * If `optional` is true, it parses either a bracket-delimited expression
+   * (like "[x+y]") or returns null to indicate the absence of a
+   * bracket-enclosed group.
+   * If `mode` is present, switches to that mode while parsing the group,
+   * and switches back after.
+   */
+
+
+  parseGroup(name, // For error reporting.
+  optional, greediness, breakOnTokenText, mode, consumeSpaces) {
+    // Switch to specified mode
+    const outerMode = this.mode;
+
+    if (mode) {
+      this.switchMode(mode);
+    } // Consume spaces if requested, crucially *after* we switch modes,
+    // so that the next non-space token is parsed in the correct mode.
+
+
+    if (consumeSpaces) {
+      this.consumeSpaces();
+    } // Get first token
+
+
+    const firstToken = this.fetch();
+    const text = firstToken.text;
+    let result; // Try to parse an open brace or \begingroup
+
+    if (optional ? text === "[" : text === "{" || text === "\\begingroup") {
+      this.consume();
+      const groupEnd = Parser.endOfGroup[text]; // Start a new group namespace
+
+      this.gullet.beginGroup(); // If we get a brace, parse an expression
+
+      const expression = this.parseExpression(false, groupEnd);
+      const lastToken = this.fetch(); // Check that we got a matching closing brace
+
+      this.expect(groupEnd); // End group namespace
+
+      this.gullet.endGroup();
+      result = {
+        type: "ordgroup",
+        mode: this.mode,
+        loc: SourceLocation.range(firstToken, lastToken),
+        body: expression,
+        // A group formed by \begingroup...\endgroup is a semi-simple group
+        // which doesn't affect spacing in math mode, i.e., is transparent.
+        // https://tex.stackexchange.com/questions/1930/when-should-one-
+        // use-begingroup-instead-of-bgroup
+        semisimple: text === "\\begingroup" || undefined
+      };
+    } else if (optional) {
+      // Return nothing for an optional group
+      result = null;
+    } else {
+      // If there exists a function with this name, parse the function.
+      // Otherwise, just return a nucleus
+      result = this.parseFunction(breakOnTokenText, name, greediness) || this.parseSymbol();
+
+      if (result == null && text[0] === "\\" && !implicitCommands.hasOwnProperty(text)) {
+        if (this.settings.throwOnError) {
+          throw new ParseError("Undefined control sequence: " + text, firstToken);
+        }
+
+        result = this.formatUnsupportedCmd(text);
+        this.consume();
+      }
+    } // Switch mode back
+
+
+    if (mode) {
+      this.switchMode(outerMode);
+    }
+
+    return result;
+  }
+  /**
+   * Form ligature-like combinations of characters for text mode.
+   * This includes inputs like "--", "---", "``" and "''".
+   * The result will simply replace multiple textord nodes with a single
+   * character in each value by a single textord node having multiple
+   * characters in its value.  The representation is still ASCII source.
+   * The group will be modified in place.
+   */
+
+
+  formLigatures(group) {
+    let n = group.length - 1;
+
+    for (let i = 0; i < n; ++i) {
+      const a = group[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+      const v = a.text;
+
+      if (v === "-" && group[i + 1].text === "-") {
+        if (i + 1 < n && group[i + 2].text === "-") {
+          group.splice(i, 3, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 2]),
+            text: "---"
+          });
+          n -= 2;
+        } else {
+          group.splice(i, 2, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 1]),
+            text: "--"
+          });
+          n -= 1;
+        }
+      }
+
+      if ((v === "'" || v === "`") && group[i + 1].text === v) {
+        group.splice(i, 2, {
+          type: "textord",
+          mode: "text",
+          loc: SourceLocation.range(a, group[i + 1]),
+          text: v + v
+        });
+        n -= 1;
+      }
+    }
+  }
+  /**
+   * Parse a single symbol out of the string. Here, we handle single character
+   * symbols and special functions like \verb.
+   */
+
+
+  parseSymbol() {
+    const nucleus = this.fetch();
+    let text = nucleus.text;
+
+    if (/^\\verb[^a-zA-Z]/.test(text)) {
+      this.consume();
+      let arg = text.slice(5);
+      const star = arg.charAt(0) === "*";
+
+      if (star) {
+        arg = arg.slice(1);
+      } // Lexer's tokenRegex is constructed to always have matching
+      // first/last characters.
+
+
+      if (arg.length < 2 || arg.charAt(0) !== arg.slice(-1)) {
+        throw new ParseError(`\\verb assertion failed --
+                    please report what input caused this bug`);
+      }
+
+      arg = arg.slice(1, -1); // remove first and last char
+
+      return {
+        type: "verb",
+        mode: "text",
+        body: arg,
+        star
+      };
+    } // At this point, we should have a symbol, possibly with accents.
+    // First expand any accented base symbol according to unicodeSymbols.
+
+
+    if (unicodeSymbols.hasOwnProperty(text[0]) && !symbols[this.mode][text[0]]) {
+      // This behavior is not strict (XeTeX-compatible) in math mode.
+      if (this.settings.strict && this.mode === "math") {
+        this.settings.reportNonstrict("unicodeTextInMathMode", `Accented Unicode text character "${text[0]}" used in ` + `math mode`, nucleus);
+      }
+
+      text = unicodeSymbols[text[0]] + text.substr(1);
+    } // Strip off any combining characters
+
+
+    const match = combiningDiacriticalMarksEndRegex.exec(text);
+
+    if (match) {
+      text = text.substring(0, match.index);
+
+      if (text === 'i') {
+        text = '\u0131'; // dotless i, in math and text mode
+      } else if (text === 'j') {
+        text = '\u0237'; // dotless j, in math and text mode
+      }
+    } // Recognize base symbol
+
+
+    let symbol;
+
+    if (symbols[this.mode][text]) {
+      if (this.settings.strict && this.mode === 'math' && extraLatin.indexOf(text) >= 0) {
+        this.settings.reportNonstrict("unicodeTextInMathMode", `Latin-1/Unicode text character "${text[0]}" used in ` + `math mode`, nucleus);
+      }
+
+      const group = symbols[this.mode][text].group;
+      const loc = SourceLocation.range(nucleus);
+      let s;
+
+      if (ATOMS.hasOwnProperty(group)) {
+        // $FlowFixMe
+        const family = group;
+        s = {
+          type: "atom",
+          mode: this.mode,
+          family,
+          loc,
+          text
+        };
+      } else {
+        // $FlowFixMe
+        s = {
+          type: group,
+          mode: this.mode,
+          loc,
+          text
+        };
+      }
+
+      symbol = s;
+    } else if (text.charCodeAt(0) >= 0x80) {
+      // no symbol for e.g. ^
+      if (this.settings.strict) {
+        if (!supportedCodepoint(text.charCodeAt(0))) {
+          this.settings.reportNonstrict("unknownSymbol", `Unrecognized Unicode character "${text[0]}"` + ` (${text.charCodeAt(0)})`, nucleus);
+        } else if (this.mode === "math") {
+          this.settings.reportNonstrict("unicodeTextInMathMode", `Unicode text character "${text[0]}" used in math mode`, nucleus);
+        }
+      } // All nonmathematical Unicode characters are rendered as if they
+      // are in text mode (wrapped in \text) because that's what it
+      // takes to render them in LaTeX.  Setting `mode: this.mode` is
+      // another natural choice (the user requested math mode), but
+      // this makes it more difficult for getCharacterMetrics() to
+      // distinguish Unicode characters without metrics and those for
+      // which we want to simulate the letter M.
+
+
+      symbol = {
+        type: "textord",
+        mode: "text",
+        loc: SourceLocation.range(nucleus),
+        text
+      };
+    } else {
+      return null; // EOF, ^, _, {, }, etc.
+    }
+
+    this.consume(); // Transform combining characters into accents
+
+    if (match) {
+      for (let i = 0; i < match[0].length; i++) {
+        const accent = match[0][i];
+
+        if (!unicodeAccents[accent]) {
+          throw new ParseError(`Unknown accent ' ${accent}'`, nucleus);
+        }
+
+        const command = unicodeAccents[accent][this.mode];
+
+        if (!command) {
+          throw new ParseError(`Accent ${accent} unsupported in ${this.mode} mode`, nucleus);
+        }
+
+        symbol = {
+          type: "accent",
+          mode: this.mode,
+          loc: SourceLocation.range(nucleus),
+          label: command,
+          isStretchy: false,
+          isShifty: true,
+          base: symbol
+        };
+      }
+    }
+
+    return symbol;
+  }
+
+}
+Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
+Parser.endOfGroup = {
+  "[": "]",
+  "{": "}",
+  "\\begingroup": "\\endgroup"
+  /**
+   * Parses an "expression", which is a list of atoms.
+   *
+   * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This
+   *                 happens when functions have higher precendence han infix
+   *                 nodes in implicit parses.
+   *
+   * `breakOnTokenText`: The text of the token that the expression should end
+   *                     with, or `null` if something else should end the
+   *                     expression.
+   */
+
+};
+Parser.SUPSUB_GREEDINESS = 1;
+
+/**
+ * Provides a single function for parsing an expression using a Parser
+ * TODO(emily): Remove this
+ */
+
+/**
+ * Parses an expression using a Parser, then returns the parsed result.
+ */
+const parseTree = function parseTree(toParse, settings) {
+  if (!(typeof toParse === 'string' || toParse instanceof String)) {
+    throw new TypeError('KaTeX can only parse string typed expression');
+  }
+
+  const parser = new Parser(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors
+
+  delete parser.gullet.macros.current["\\df@tag"];
+  let tree = parser.parse(); // If the input used \tag, it will set the \df@tag macro to the tag.
+  // In this case, we separately parse the tag and wrap the tree.
+
+  if (parser.gullet.macros.get("\\df@tag")) {
+    if (!settings.displayMode) {
+      throw new ParseError("\\tag works only in display equations");
+    }
+
+    parser.gullet.feed("\\df@tag");
+    tree = [{
+      type: "tag",
+      mode: "text",
+      body: tree,
+      tag: parser.parse()
+    }];
+  }
+
+  return tree;
+};
+
+/* eslint no-console:0 */
+
+/**
+ * Parse and build an expression, and place that expression in the DOM node
+ * given.
+ */
+let render = function render(expression, baseNode, options) {
+  baseNode.textContent = "";
+  const node = renderToDomTree(expression, options).toNode();
+  baseNode.appendChild(node);
+}; // KaTeX's styles don't work properly in quirks mode. Print out an error, and
+// disable rendering.
+
+
+if (typeof document !== "undefined") {
+  if (document.compatMode !== "CSS1Compat") {
+    typeof console !== "undefined" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your " + "website has a suitable doctype.");
+
+    render = function render() {
+      throw new ParseError("KaTeX doesn't work in quirks mode.");
+    };
+  }
+}
+/**
+ * Parse and build an expression, and return the markup for that.
+ */
+
+
+const renderToString = function renderToString(expression, options) {
+  const markup = renderToDomTree(expression, options).toMarkup();
+  return markup;
+};
+/**
+ * Parse an expression and return the parse tree.
+ */
+
+
+const generateParseTree = function generateParseTree(expression, options) {
+  const settings = new Settings(options);
+  return parseTree(expression, settings);
+};
+/**
+ * If the given error is a KaTeX ParseError and options.throwOnError is false,
+ * renders the invalid LaTeX as a span with hover title giving the KaTeX
+ * error message.  Otherwise, simply throws the error.
+ */
+
+
+const renderError = function renderError(error, expression, options) {
+  if (options.throwOnError || !(error instanceof ParseError)) {
+    throw error;
+  }
+
+  const node = buildCommon.makeSpan(["katex-error"], [new SymbolNode(expression)]);
+  node.setAttribute("title", error.toString());
+  node.setAttribute("style", `color:${options.errorColor}`);
+  return node;
+};
+/**
+ * Generates and returns the katex build tree. This is used for advanced
+ * use cases (like rendering to custom output).
+ */
+
+
+const renderToDomTree = function renderToDomTree(expression, options) {
+  const settings = new Settings(options);
+
+  try {
+    const tree = parseTree(expression, settings);
+    return buildTree(tree, expression, settings);
+  } catch (error) {
+    return renderError(error, expression, settings);
+  }
+};
+/**
+ * Generates and returns the katex build tree, with just HTML (no MathML).
+ * This is used for advanced use cases (like rendering to custom output).
+ */
+
+
+const renderToHTMLTree = function renderToHTMLTree(expression, options) {
+  const settings = new Settings(options);
+
+  try {
+    const tree = parseTree(expression, settings);
+    return buildHTMLTree(tree, expression, settings);
+  } catch (error) {
+    return renderError(error, expression, settings);
+  }
+};
+
+var katex = {
+  /**
+   * Current KaTeX version
+   */
+  version: "0.11.1",
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination, and adds
+   * it as a child to the specified DOM node.
+   */
+  render,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination string,
+   * for sending to the client.
+   */
+  renderToString,
+
+  /**
+   * KaTeX error, usually during parsing.
+   */
+  ParseError,
+
+  /**
+   * Parses the given LaTeX into KaTeX's internal parse tree structure,
+   * without rendering to HTML or MathML.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __parse: generateParseTree,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML internal DOM tree
+   * representation, without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToDomTree: renderToDomTree,
+
+  /**
+   * Renders the given LaTeX into an HTML internal DOM tree representation,
+   * without MathML and without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToHTMLTree: renderToHTMLTree,
+
+  /**
+   * extends internal font metrics object with a new object
+   * each key in the new object represents a font name
+  */
+  __setFontMetrics: setFontMetrics,
+
+  /**
+   * adds a new symbol to builtin symbols table
+   */
+  __defineSymbol: defineSymbol,
+
+  /**
+   * adds a new macro to builtin macro list
+   */
+  __defineMacro: defineMacro,
+
+  /**
+   * Expose the dom tree node types, which can be useful for type checking nodes.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __domTree: {
+    Span,
+    Anchor,
+    SymbolNode,
+    SvgNode,
+    PathNode,
+    LineNode
+  }
+};
+
+export default katex;
diff --git a/docs/static/katex/v0.12.0/README.md b/docs/static/katex/v0.12.0/README.md
new file mode 100644
index 000000000..307fdbf94
--- /dev/null
+++ b/docs/static/katex/v0.12.0/README.md
@@ -0,0 +1,91 @@
+# [<img src="https://katex.org/img/katex-logo-black.svg" width="130" alt="KaTeX">](https://katex.org/)
+[![npm](https://img.shields.io/npm/v/katex.svg)](https://www.npmjs.com/package/katex)
+[![CircleCI](https://circleci.com/gh/KaTeX/KaTeX.svg?style=shield)](https://circleci.com/gh/KaTeX/KaTeX)
+[![codecov](https://codecov.io/gh/KaTeX/KaTeX/branch/master/graph/badge.svg)](https://codecov.io/gh/KaTeX/KaTeX)
+[![Join the chat at https://gitter.im/KaTeX/KaTeX](https://badges.gitter.im/Join%20Chat.svg)](https://gitter.im/KaTeX/KaTeX?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge)
+[![Dependabot Status](https://api.dependabot.com/badges/status?host=github&repo=KaTeX/KaTeX)](https://dependabot.com)
+[![jsDelivr](https://data.jsdelivr.com/v1/package/npm/katex/badge?style=rounded)](https://www.jsdelivr.com/package/npm/katex)
+![](https://img.badgesize.io/KaTeX/KaTeX/v0.12.0/dist/katex.min.js?compression=gzip)
+
+KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web.
+
+ * **Fast:** KaTeX renders its math synchronously and doesn't need to reflow the page. See how it compares to a competitor in [this speed test](http://www.intmath.com/cg5/katex-mathjax-comparison.php).
+ * **Print quality:** KaTeX's layout is based on Donald Knuth's TeX, the gold standard for math typesetting.
+ * **Self contained:** KaTeX has no dependencies and can easily be bundled with your website resources.
+ * **Server side rendering:** KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML.
+
+KaTeX is compatible with all major browsers, including Chrome, Safari, Firefox, Opera, Edge, and IE 11.
+
+KaTeX supports much (but not all) of LaTeX and many LaTeX packages. See the [list of supported functions](https://katex.org/docs/supported.html).
+
+Try out KaTeX [on the demo page](https://katex.org/#demo)!
+
+## Getting started
+
+### Starter template
+
+```html
+<!DOCTYPE html>
+<!-- KaTeX requires the use of the HTML5 doctype. Without it, KaTeX may not render properly -->
+<html>
+  <head>
+    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.css" integrity="sha384-AfEj0r4/OFrOo5t7NnNe46zW/tFgW6x/bCJG8FqQCEo3+Aro6EYUG4+cU+KJWu/X" crossorigin="anonymous">
+
+    <!-- The loading of KaTeX is deferred to speed up page rendering -->
+    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/katex.min.js" integrity="sha384-g7c+Jr9ZivxKLnZTDUhnkOnsh30B4H0rpLUpJ4jAIKs4fnJI+sEnkvrMWph2EDg4" crossorigin="anonymous"></script>
+
+    <!-- To automatically render math in text elements, include the auto-render extension: -->
+    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.12.0/dist/contrib/auto-render.min.js" integrity="sha384-mll67QQFJfxn0IYznZYonOWZ644AWYC+Pt2cHqMaRhXVrursRwvLnLaebdGIlYNa" crossorigin="anonymous"
+        onload="renderMathInElement(document.body);"></script>
+  </head>
+  ...
+</html>
+```
+
+You can also [download KaTeX](https://github.com/KaTeX/KaTeX/releases) and host it yourself.
+
+For details on how to configure auto-render extension, refer to [the documentation](https://katex.org/docs/autorender.html).
+
+### API
+
+Call `katex.render` to render a TeX expression directly into a DOM element.
+For example:
+
+```js
+katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, {
+    throwOnError: false
+});
+```
+
+Call `katex.renderToString` to generate an HTML string of the rendered math,
+e.g., for server-side rendering.  For example:
+
+```js
+var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}", {
+    throwOnError: false
+});
+// '<span class="katex">...</span>'
+```
+
+Make sure to include the CSS and font files in both cases.
+If you are doing all rendering on the server, there is no need to include the
+JavaScript on the client.
+
+The examples above use the `throwOnError: false` option, which renders invalid
+inputs as the TeX source code in red (by default), with the error message as
+hover text.  For other available options, see the
+[API documentation](https://katex.org/docs/api.html),
+[options documentation](https://katex.org/docs/options.html), and
+[handling errors documentation](https://katex.org/docs/error.html).
+
+## Demo and Documentation
+
+Learn more about using KaTeX [on the website](https://katex.org)!
+
+## Contributing
+
+See [CONTRIBUTING.md](CONTRIBUTING.md)
+
+## License
+
+KaTeX is licensed under the [MIT License](http://opensource.org/licenses/MIT).
diff --git a/docs/static/katex/v0.12.0/contrib/auto-render.js b/docs/static/katex/v0.12.0/contrib/auto-render.js
new file mode 100644
index 000000000..d59443483
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/auto-render.js
@@ -0,0 +1,350 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else if(typeof exports === 'object')
+		exports["renderMathInElement"] = factory(require("katex"));
+	else
+		root["renderMathInElement"] = factory(root["katex"]);
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+
+// EXTERNAL MODULE: external "katex"
+var external_katex_ = __webpack_require__(0);
+var external_katex_default = /*#__PURE__*/__webpack_require__.n(external_katex_);
+
+// CONCATENATED MODULE: ./contrib/auto-render/splitAtDelimiters.js
+/* eslint no-constant-condition:0 */
+var findEndOfMath = function findEndOfMath(delimiter, text, startIndex) {
+  // Adapted from
+  // https://github.com/Khan/perseus/blob/master/src/perseus-markdown.jsx
+  var index = startIndex;
+  var braceLevel = 0;
+  var delimLength = delimiter.length;
+
+  while (index < text.length) {
+    var character = text[index];
+
+    if (braceLevel <= 0 && text.slice(index, index + delimLength) === delimiter) {
+      return index;
+    } else if (character === "\\") {
+      index++;
+    } else if (character === "{") {
+      braceLevel++;
+    } else if (character === "}") {
+      braceLevel--;
+    }
+
+    index++;
+  }
+
+  return -1;
+};
+
+var splitAtDelimiters = function splitAtDelimiters(startData, leftDelim, rightDelim, display) {
+  var finalData = [];
+
+  for (var i = 0; i < startData.length; i++) {
+    if (startData[i].type === "text") {
+      var text = startData[i].data;
+      var lookingForLeft = true;
+      var currIndex = 0;
+      var nextIndex = void 0;
+      nextIndex = text.indexOf(leftDelim);
+
+      if (nextIndex !== -1) {
+        currIndex = nextIndex;
+        finalData.push({
+          type: "text",
+          data: text.slice(0, currIndex)
+        });
+        lookingForLeft = false;
+      }
+
+      while (true) {
+        if (lookingForLeft) {
+          nextIndex = text.indexOf(leftDelim, currIndex);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "text",
+            data: text.slice(currIndex, nextIndex)
+          });
+          currIndex = nextIndex;
+        } else {
+          nextIndex = findEndOfMath(rightDelim, text, currIndex + leftDelim.length);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "math",
+            data: text.slice(currIndex + leftDelim.length, nextIndex),
+            rawData: text.slice(currIndex, nextIndex + rightDelim.length),
+            display: display
+          });
+          currIndex = nextIndex + rightDelim.length;
+        }
+
+        lookingForLeft = !lookingForLeft;
+      }
+
+      finalData.push({
+        type: "text",
+        data: text.slice(currIndex)
+      });
+    } else {
+      finalData.push(startData[i]);
+    }
+  }
+
+  return finalData;
+};
+
+/* harmony default export */ var auto_render_splitAtDelimiters = (splitAtDelimiters);
+// CONCATENATED MODULE: ./contrib/auto-render/auto-render.js
+/* eslint no-console:0 */
+
+
+
+var auto_render_splitWithDelimiters = function splitWithDelimiters(text, delimiters) {
+  var data = [{
+    type: "text",
+    data: text
+  }];
+
+  for (var i = 0; i < delimiters.length; i++) {
+    var delimiter = delimiters[i];
+    data = auto_render_splitAtDelimiters(data, delimiter.left, delimiter.right, delimiter.display || false);
+  }
+
+  return data;
+};
+/* Note: optionsCopy is mutated by this method. If it is ever exposed in the
+ * API, we should copy it before mutating.
+ */
+
+
+var auto_render_renderMathInText = function renderMathInText(text, optionsCopy) {
+  var data = auto_render_splitWithDelimiters(text, optionsCopy.delimiters);
+
+  if (data.length === 1 && data[0].type === 'text') {
+    // There is no formula in the text.
+    // Let's return null which means there is no need to replace
+    // the current text node with a new one.
+    return null;
+  }
+
+  var fragment = document.createDocumentFragment();
+
+  for (var i = 0; i < data.length; i++) {
+    if (data[i].type === "text") {
+      fragment.appendChild(document.createTextNode(data[i].data));
+    } else {
+      var span = document.createElement("span");
+      var math = data[i].data; // Override any display mode defined in the settings with that
+      // defined by the text itself
+
+      optionsCopy.displayMode = data[i].display;
+
+      try {
+        if (optionsCopy.preProcess) {
+          math = optionsCopy.preProcess(math);
+        }
+
+        external_katex_default.a.render(math, span, optionsCopy);
+      } catch (e) {
+        if (!(e instanceof external_katex_default.a.ParseError)) {
+          throw e;
+        }
+
+        optionsCopy.errorCallback("KaTeX auto-render: Failed to parse `" + data[i].data + "` with ", e);
+        fragment.appendChild(document.createTextNode(data[i].rawData));
+        continue;
+      }
+
+      fragment.appendChild(span);
+    }
+  }
+
+  return fragment;
+};
+
+var renderElem = function renderElem(elem, optionsCopy) {
+  for (var i = 0; i < elem.childNodes.length; i++) {
+    var childNode = elem.childNodes[i];
+
+    if (childNode.nodeType === 3) {
+      // Text node
+      var frag = auto_render_renderMathInText(childNode.textContent, optionsCopy);
+
+      if (frag) {
+        i += frag.childNodes.length - 1;
+        elem.replaceChild(frag, childNode);
+      }
+    } else if (childNode.nodeType === 1) {
+      (function () {
+        // Element node
+        var className = ' ' + childNode.className + ' ';
+        var shouldRender = optionsCopy.ignoredTags.indexOf(childNode.nodeName.toLowerCase()) === -1 && optionsCopy.ignoredClasses.every(function (x) {
+          return className.indexOf(' ' + x + ' ') === -1;
+        });
+
+        if (shouldRender) {
+          renderElem(childNode, optionsCopy);
+        }
+      })();
+    } // Otherwise, it's something else, and ignore it.
+
+  }
+};
+
+var renderMathInElement = function renderMathInElement(elem, options) {
+  if (!elem) {
+    throw new Error("No element provided to render");
+  }
+
+  var optionsCopy = {}; // Object.assign(optionsCopy, option)
+
+  for (var option in options) {
+    if (options.hasOwnProperty(option)) {
+      optionsCopy[option] = options[option];
+    }
+  } // default options
+
+
+  optionsCopy.delimiters = optionsCopy.delimiters || [{
+    left: "$$",
+    right: "$$",
+    display: true
+  }, {
+    left: "\\(",
+    right: "\\)",
+    display: false
+  }, // LaTeX uses $…$, but it ruins the display of normal `$` in text:
+  // {left: "$", right: "$", display: false},
+  //  \[…\] must come last in this array. Otherwise, renderMathInElement
+  //  will search for \[ before it searches for $$ or  \(
+  // That makes it susceptible to finding a \\[0.3em] row delimiter and
+  // treating it as if it were the start of a KaTeX math zone.
+  {
+    left: "\\[",
+    right: "\\]",
+    display: true
+  }];
+  optionsCopy.ignoredTags = optionsCopy.ignoredTags || ["script", "noscript", "style", "textarea", "pre", "code", "option"];
+  optionsCopy.ignoredClasses = optionsCopy.ignoredClasses || [];
+  optionsCopy.errorCallback = optionsCopy.errorCallback || console.error; // Enable sharing of global macros defined via `\gdef` between different
+  // math elements within a single call to `renderMathInElement`.
+
+  optionsCopy.macros = optionsCopy.macros || {};
+  renderElem(elem, optionsCopy);
+};
+
+/* harmony default export */ var auto_render = __webpack_exports__["default"] = (renderMathInElement);
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/auto-render.min.js b/docs/static/katex/v0.12.0/contrib/auto-render.min.js
new file mode 100644
index 000000000..840e74bf1
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/auto-render.min.js
@@ -0,0 +1 @@
+!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t(require("katex")):"function"==typeof define&&define.amd?define(["katex"],t):"object"==typeof exports?exports.renderMathInElement=t(require("katex")):e.renderMathInElement=t(e.katex)}("undefined"!=typeof self?self:this,function(e){return function(e){var t={};function r(n){if(t[n])return t[n].exports;var o=t[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,r),o.l=!0,o.exports}return r.m=e,r.c=t,r.d=function(e,t,n){r.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:n})},r.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)r.d(n,o,function(t){return e[t]}.bind(null,o));return n},r.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return r.d(t,"a",t),t},r.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},r.p="",r(r.s=1)}([function(t,r){t.exports=e},function(e,t,r){"use strict";r.r(t);var n=r(0),o=r.n(n),a=function(e,t,r){for(var n=r,o=0,a=e.length;n<t.length;){var i=t[n];if(o<=0&&t.slice(n,n+a)===e)return n;"\\"===i?n++:"{"===i?o++:"}"===i&&o--,n++}return-1},i=function(e,t,r,n){for(var o=[],i=0;i<e.length;i++)if("text"===e[i].type){var l=e[i].data,d=!0,s=0,f=void 0;for(-1!==(f=l.indexOf(t))&&(s=f,o.push({type:"text",data:l.slice(0,s)}),d=!1);;){if(d){if(-1===(f=l.indexOf(t,s)))break;o.push({type:"text",data:l.slice(s,f)}),s=f}else{if(-1===(f=a(r,l,s+t.length)))break;o.push({type:"math",data:l.slice(s+t.length,f),rawData:l.slice(s,f+r.length),display:n}),s=f+r.length}d=!d}o.push({type:"text",data:l.slice(s)})}else o.push(e[i]);return o},l=function(e,t){var r=function(e,t){for(var r=[{type:"text",data:e}],n=0;n<t.length;n++){var o=t[n];r=i(r,o.left,o.right,o.display||!1)}return r}(e,t.delimiters);if(1===r.length&&"text"===r[0].type)return null;for(var n=document.createDocumentFragment(),a=0;a<r.length;a++)if("text"===r[a].type)n.appendChild(document.createTextNode(r[a].data));else{var l=document.createElement("span"),d=r[a].data;t.displayMode=r[a].display;try{t.preProcess&&(d=t.preProcess(d)),o.a.render(d,l,t)}catch(e){if(!(e instanceof o.a.ParseError))throw e;t.errorCallback("KaTeX auto-render: Failed to parse `"+r[a].data+"` with ",e),n.appendChild(document.createTextNode(r[a].rawData));continue}n.appendChild(l)}return n};t.default=function(e,t){if(!e)throw new Error("No element provided to render");var r={};for(var n in t)t.hasOwnProperty(n)&&(r[n]=t[n]);r.delimiters=r.delimiters||[{left:"$$",right:"$$",display:!0},{left:"\\(",right:"\\)",display:!1},{left:"\\[",right:"\\]",display:!0}],r.ignoredTags=r.ignoredTags||["script","noscript","style","textarea","pre","code","option"],r.ignoredClasses=r.ignoredClasses||[],r.errorCallback=r.errorCallback||console.error,r.macros=r.macros||{},function e(t,r){for(var n=0;n<t.childNodes.length;n++){var o=t.childNodes[n];if(3===o.nodeType){var a=l(o.textContent,r);a&&(n+=a.childNodes.length-1,t.replaceChild(a,o))}else 1===o.nodeType&&function(){var t=" "+o.className+" ";-1===r.ignoredTags.indexOf(o.nodeName.toLowerCase())&&r.ignoredClasses.every(function(e){return-1===t.indexOf(" "+e+" ")})&&e(o,r)}()}}(e,r)}}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/auto-render.mjs b/docs/static/katex/v0.12.0/contrib/auto-render.mjs
new file mode 100644
index 000000000..bc9a71f96
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/auto-render.mjs
@@ -0,0 +1,226 @@
+import katex from '../katex.mjs';
+
+/* eslint no-constant-condition:0 */
+const findEndOfMath = function findEndOfMath(delimiter, text, startIndex) {
+  // Adapted from
+  // https://github.com/Khan/perseus/blob/master/src/perseus-markdown.jsx
+  let index = startIndex;
+  let braceLevel = 0;
+  const delimLength = delimiter.length;
+
+  while (index < text.length) {
+    const character = text[index];
+
+    if (braceLevel <= 0 && text.slice(index, index + delimLength) === delimiter) {
+      return index;
+    } else if (character === "\\") {
+      index++;
+    } else if (character === "{") {
+      braceLevel++;
+    } else if (character === "}") {
+      braceLevel--;
+    }
+
+    index++;
+  }
+
+  return -1;
+};
+
+const splitAtDelimiters = function splitAtDelimiters(startData, leftDelim, rightDelim, display) {
+  const finalData = [];
+
+  for (let i = 0; i < startData.length; i++) {
+    if (startData[i].type === "text") {
+      const text = startData[i].data;
+      let lookingForLeft = true;
+      let currIndex = 0;
+      let nextIndex;
+      nextIndex = text.indexOf(leftDelim);
+
+      if (nextIndex !== -1) {
+        currIndex = nextIndex;
+        finalData.push({
+          type: "text",
+          data: text.slice(0, currIndex)
+        });
+        lookingForLeft = false;
+      }
+
+      while (true) {
+        if (lookingForLeft) {
+          nextIndex = text.indexOf(leftDelim, currIndex);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "text",
+            data: text.slice(currIndex, nextIndex)
+          });
+          currIndex = nextIndex;
+        } else {
+          nextIndex = findEndOfMath(rightDelim, text, currIndex + leftDelim.length);
+
+          if (nextIndex === -1) {
+            break;
+          }
+
+          finalData.push({
+            type: "math",
+            data: text.slice(currIndex + leftDelim.length, nextIndex),
+            rawData: text.slice(currIndex, nextIndex + rightDelim.length),
+            display: display
+          });
+          currIndex = nextIndex + rightDelim.length;
+        }
+
+        lookingForLeft = !lookingForLeft;
+      }
+
+      finalData.push({
+        type: "text",
+        data: text.slice(currIndex)
+      });
+    } else {
+      finalData.push(startData[i]);
+    }
+  }
+
+  return finalData;
+};
+
+/* eslint no-console:0 */
+
+const splitWithDelimiters = function splitWithDelimiters(text, delimiters) {
+  let data = [{
+    type: "text",
+    data: text
+  }];
+
+  for (let i = 0; i < delimiters.length; i++) {
+    const delimiter = delimiters[i];
+    data = splitAtDelimiters(data, delimiter.left, delimiter.right, delimiter.display || false);
+  }
+
+  return data;
+};
+/* Note: optionsCopy is mutated by this method. If it is ever exposed in the
+ * API, we should copy it before mutating.
+ */
+
+
+const renderMathInText = function renderMathInText(text, optionsCopy) {
+  const data = splitWithDelimiters(text, optionsCopy.delimiters);
+
+  if (data.length === 1 && data[0].type === 'text') {
+    // There is no formula in the text.
+    // Let's return null which means there is no need to replace
+    // the current text node with a new one.
+    return null;
+  }
+
+  const fragment = document.createDocumentFragment();
+
+  for (let i = 0; i < data.length; i++) {
+    if (data[i].type === "text") {
+      fragment.appendChild(document.createTextNode(data[i].data));
+    } else {
+      const span = document.createElement("span");
+      let math = data[i].data; // Override any display mode defined in the settings with that
+      // defined by the text itself
+
+      optionsCopy.displayMode = data[i].display;
+
+      try {
+        if (optionsCopy.preProcess) {
+          math = optionsCopy.preProcess(math);
+        }
+
+        katex.render(math, span, optionsCopy);
+      } catch (e) {
+        if (!(e instanceof katex.ParseError)) {
+          throw e;
+        }
+
+        optionsCopy.errorCallback("KaTeX auto-render: Failed to parse `" + data[i].data + "` with ", e);
+        fragment.appendChild(document.createTextNode(data[i].rawData));
+        continue;
+      }
+
+      fragment.appendChild(span);
+    }
+  }
+
+  return fragment;
+};
+
+const renderElem = function renderElem(elem, optionsCopy) {
+  for (let i = 0; i < elem.childNodes.length; i++) {
+    const childNode = elem.childNodes[i];
+
+    if (childNode.nodeType === 3) {
+      // Text node
+      const frag = renderMathInText(childNode.textContent, optionsCopy);
+
+      if (frag) {
+        i += frag.childNodes.length - 1;
+        elem.replaceChild(frag, childNode);
+      }
+    } else if (childNode.nodeType === 1) {
+      // Element node
+      const className = ' ' + childNode.className + ' ';
+      const shouldRender = optionsCopy.ignoredTags.indexOf(childNode.nodeName.toLowerCase()) === -1 && optionsCopy.ignoredClasses.every(x => className.indexOf(' ' + x + ' ') === -1);
+
+      if (shouldRender) {
+        renderElem(childNode, optionsCopy);
+      }
+    } // Otherwise, it's something else, and ignore it.
+
+  }
+};
+
+const renderMathInElement = function renderMathInElement(elem, options) {
+  if (!elem) {
+    throw new Error("No element provided to render");
+  }
+
+  const optionsCopy = {}; // Object.assign(optionsCopy, option)
+
+  for (const option in options) {
+    if (options.hasOwnProperty(option)) {
+      optionsCopy[option] = options[option];
+    }
+  } // default options
+
+
+  optionsCopy.delimiters = optionsCopy.delimiters || [{
+    left: "$$",
+    right: "$$",
+    display: true
+  }, {
+    left: "\\(",
+    right: "\\)",
+    display: false
+  }, // LaTeX uses $…$, but it ruins the display of normal `$` in text:
+  // {left: "$", right: "$", display: false},
+  //  \[…\] must come last in this array. Otherwise, renderMathInElement
+  //  will search for \[ before it searches for $$ or  \(
+  // That makes it susceptible to finding a \\[0.3em] row delimiter and
+  // treating it as if it were the start of a KaTeX math zone.
+  {
+    left: "\\[",
+    right: "\\]",
+    display: true
+  }];
+  optionsCopy.ignoredTags = optionsCopy.ignoredTags || ["script", "noscript", "style", "textarea", "pre", "code", "option"];
+  optionsCopy.ignoredClasses = optionsCopy.ignoredClasses || [];
+  optionsCopy.errorCallback = optionsCopy.errorCallback || console.error; // Enable sharing of global macros defined via `\gdef` between different
+  // math elements within a single call to `renderMathInElement`.
+
+  optionsCopy.macros = optionsCopy.macros || {};
+  renderElem(elem, optionsCopy);
+};
+
+export default renderMathInElement;
diff --git a/docs/static/katex/v0.12.0/contrib/copy-tex.css b/docs/static/katex/v0.12.0/contrib/copy-tex.css
new file mode 100644
index 000000000..90801d842
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/copy-tex.css
@@ -0,0 +1,14 @@
+/* Force selection of entire .katex/.katex-display blocks, so that we can
+ * copy/paste the entire source code.  If you omit this CSS, partial
+ * selections of a formula will work, but will copy the ugly HTML
+ * representation instead of the LaTeX source code.  (Full selections will
+ * still produce the LaTeX source code.)
+ */
+.katex,
+.katex-display {
+    user-select: all;
+    -moz-user-select: all;
+    -webkit-user-select: all;
+    -ms-user-select: all;
+}
+
diff --git a/docs/static/katex/v0.12.0/contrib/copy-tex.js b/docs/static/katex/v0.12.0/contrib/copy-tex.js
new file mode 100644
index 000000000..4649f8f7e
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/copy-tex.js
@@ -0,0 +1,213 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory();
+	else if(typeof define === 'function' && define.amd)
+		define([], factory);
+	else {
+		var a = factory();
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function() {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports, __webpack_require__) {
+
+// extracted by mini-css-extract-plugin
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+
+// EXTERNAL MODULE: ./contrib/copy-tex/copy-tex.css
+var copy_tex = __webpack_require__(0);
+
+// CONCATENATED MODULE: ./contrib/copy-tex/katex2tex.js
+// Set these to how you want inline and display math to be delimited.
+var defaultCopyDelimiters = {
+  inline: ['$', '$'],
+  // alternative: ['\(', '\)']
+  display: ['$$', '$$'] // alternative: ['\[', '\]']
+
+}; // Replace .katex elements with their TeX source (<annotation> element).
+// Modifies fragment in-place.  Useful for writing your own 'copy' handler,
+// as in copy-tex.js.
+
+var katexReplaceWithTex = function katexReplaceWithTex(fragment, copyDelimiters) {
+  if (copyDelimiters === void 0) {
+    copyDelimiters = defaultCopyDelimiters;
+  }
+
+  // Remove .katex-html blocks that are preceded by .katex-mathml blocks
+  // (which will get replaced below).
+  var katexHtml = fragment.querySelectorAll('.katex-mathml + .katex-html');
+
+  for (var i = 0; i < katexHtml.length; i++) {
+    var element = katexHtml[i];
+
+    if (element.remove) {
+      element.remove(null);
+    } else {
+      element.parentNode.removeChild(element);
+    }
+  } // Replace .katex-mathml elements with their annotation (TeX source)
+  // descendant, with inline delimiters.
+
+
+  var katexMathml = fragment.querySelectorAll('.katex-mathml');
+
+  for (var _i = 0; _i < katexMathml.length; _i++) {
+    var _element = katexMathml[_i];
+
+    var texSource = _element.querySelector('annotation');
+
+    if (texSource) {
+      if (_element.replaceWith) {
+        _element.replaceWith(texSource);
+      } else {
+        _element.parentNode.replaceChild(texSource, _element);
+      }
+
+      texSource.innerHTML = copyDelimiters.inline[0] + texSource.innerHTML + copyDelimiters.inline[1];
+    }
+  } // Switch display math to display delimiters.
+
+
+  var displays = fragment.querySelectorAll('.katex-display annotation');
+
+  for (var _i2 = 0; _i2 < displays.length; _i2++) {
+    var _element2 = displays[_i2];
+    _element2.innerHTML = copyDelimiters.display[0] + _element2.innerHTML.substr(copyDelimiters.inline[0].length, _element2.innerHTML.length - copyDelimiters.inline[0].length - copyDelimiters.inline[1].length) + copyDelimiters.display[1];
+  }
+
+  return fragment;
+};
+/* harmony default export */ var katex2tex = (katexReplaceWithTex);
+// CONCATENATED MODULE: ./contrib/copy-tex/copy-tex.js
+ // Global copy handler to modify behavior on .katex elements.
+
+document.addEventListener('copy', function (event) {
+  var selection = window.getSelection();
+
+  if (selection.isCollapsed) {
+    return; // default action OK if selection is empty
+  }
+
+  var fragment = selection.getRangeAt(0).cloneContents();
+
+  if (!fragment.querySelector('.katex-mathml')) {
+    return; // default action OK if no .katex-mathml elements
+  } // Preserve usual HTML copy/paste behavior.
+
+
+  var html = [];
+
+  for (var i = 0; i < fragment.childNodes.length; i++) {
+    html.push(fragment.childNodes[i].outerHTML);
+  }
+
+  event.clipboardData.setData('text/html', html.join('')); // Rewrite plain-text version.
+
+  event.clipboardData.setData('text/plain', katex2tex(fragment).textContent); // Prevent normal copy handling.
+
+  event.preventDefault();
+});
+// CONCATENATED MODULE: ./contrib/copy-tex/copy-tex.webpack.js
+/**
+ * This is the webpack entry point for KaTeX. As ECMAScript doesn't support
+ * CSS modules natively, a separate entry point is used.
+ */
+
+
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/copy-tex.min.css b/docs/static/katex/v0.12.0/contrib/copy-tex.min.css
new file mode 100644
index 000000000..555ed1156
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/copy-tex.min.css
@@ -0,0 +1 @@
+.katex,.katex-display{user-select:all;-moz-user-select:all;-webkit-user-select:all;-ms-user-select:all}
diff --git a/docs/static/katex/v0.12.0/contrib/copy-tex.min.js b/docs/static/katex/v0.12.0/contrib/copy-tex.min.js
new file mode 100644
index 000000000..e0354d6b9
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/copy-tex.min.js
@@ -0,0 +1 @@
+!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t();else if("function"==typeof define&&define.amd)define([],t);else{var n=t();for(var r in n)("object"==typeof exports?exports:e)[r]=n[r]}}("undefined"!=typeof self?self:this,function(){return function(e){var t={};function n(r){if(t[r])return t[r].exports;var o=t[r]={i:r,l:!1,exports:{}};return e[r].call(o.exports,o,o.exports,n),o.l=!0,o.exports}return n.m=e,n.c=t,n.d=function(e,t,r){n.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:r})},n.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},n.t=function(e,t){if(1&t&&(e=n(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var r=Object.create(null);if(n.r(r),Object.defineProperty(r,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)n.d(r,o,function(t){return e[t]}.bind(null,o));return r},n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,"a",t),t},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},n.p="",n(n.s=1)}([function(e,t,n){},function(e,t,n){"use strict";n.r(t);n(0);var r={inline:["$","$"],display:["$$","$$"]},o=function(e,t){void 0===t&&(t=r);for(var n=e.querySelectorAll(".katex-mathml + .katex-html"),o=0;o<n.length;o++){var l=n[o];l.remove?l.remove(null):l.parentNode.removeChild(l)}for(var i=e.querySelectorAll(".katex-mathml"),a=0;a<i.length;a++){var u=i[a],f=u.querySelector("annotation");f&&(u.replaceWith?u.replaceWith(f):u.parentNode.replaceChild(f,u),f.innerHTML=t.inline[0]+f.innerHTML+t.inline[1])}for(var c=e.querySelectorAll(".katex-display annotation"),d=0;d<c.length;d++){var p=c[d];p.innerHTML=t.display[0]+p.innerHTML.substr(t.inline[0].length,p.innerHTML.length-t.inline[0].length-t.inline[1].length)+t.display[1]}return e};document.addEventListener("copy",function(e){var t=window.getSelection();if(!t.isCollapsed){var n=t.getRangeAt(0).cloneContents();if(n.querySelector(".katex-mathml")){for(var r=[],l=0;l<n.childNodes.length;l++)r.push(n.childNodes[l].outerHTML);e.clipboardData.setData("text/html",r.join("")),e.clipboardData.setData("text/plain",o(n).textContent),e.preventDefault()}}})}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/copy-tex.mjs b/docs/static/katex/v0.12.0/contrib/copy-tex.mjs
new file mode 100644
index 000000000..b6ed1eef0
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/copy-tex.mjs
@@ -0,0 +1,85 @@
+// Set these to how you want inline and display math to be delimited.
+const defaultCopyDelimiters = {
+  inline: ['$', '$'],
+  // alternative: ['\(', '\)']
+  display: ['$$', '$$'] // alternative: ['\[', '\]']
+
+}; // Replace .katex elements with their TeX source (<annotation> element).
+// Modifies fragment in-place.  Useful for writing your own 'copy' handler,
+// as in copy-tex.js.
+
+const katexReplaceWithTex = function katexReplaceWithTex(fragment, copyDelimiters) {
+  if (copyDelimiters === void 0) {
+    copyDelimiters = defaultCopyDelimiters;
+  }
+
+  // Remove .katex-html blocks that are preceded by .katex-mathml blocks
+  // (which will get replaced below).
+  const katexHtml = fragment.querySelectorAll('.katex-mathml + .katex-html');
+
+  for (let i = 0; i < katexHtml.length; i++) {
+    const element = katexHtml[i];
+
+    if (element.remove) {
+      element.remove(null);
+    } else {
+      element.parentNode.removeChild(element);
+    }
+  } // Replace .katex-mathml elements with their annotation (TeX source)
+  // descendant, with inline delimiters.
+
+
+  const katexMathml = fragment.querySelectorAll('.katex-mathml');
+
+  for (let i = 0; i < katexMathml.length; i++) {
+    const element = katexMathml[i];
+    const texSource = element.querySelector('annotation');
+
+    if (texSource) {
+      if (element.replaceWith) {
+        element.replaceWith(texSource);
+      } else {
+        element.parentNode.replaceChild(texSource, element);
+      }
+
+      texSource.innerHTML = copyDelimiters.inline[0] + texSource.innerHTML + copyDelimiters.inline[1];
+    }
+  } // Switch display math to display delimiters.
+
+
+  const displays = fragment.querySelectorAll('.katex-display annotation');
+
+  for (let i = 0; i < displays.length; i++) {
+    const element = displays[i];
+    element.innerHTML = copyDelimiters.display[0] + element.innerHTML.substr(copyDelimiters.inline[0].length, element.innerHTML.length - copyDelimiters.inline[0].length - copyDelimiters.inline[1].length) + copyDelimiters.display[1];
+  }
+
+  return fragment;
+};
+
+document.addEventListener('copy', function (event) {
+  const selection = window.getSelection();
+
+  if (selection.isCollapsed) {
+    return; // default action OK if selection is empty
+  }
+
+  const fragment = selection.getRangeAt(0).cloneContents();
+
+  if (!fragment.querySelector('.katex-mathml')) {
+    return; // default action OK if no .katex-mathml elements
+  } // Preserve usual HTML copy/paste behavior.
+
+
+  const html = [];
+
+  for (let i = 0; i < fragment.childNodes.length; i++) {
+    html.push(fragment.childNodes[i].outerHTML);
+  }
+
+  event.clipboardData.setData('text/html', html.join('')); // Rewrite plain-text version.
+
+  event.clipboardData.setData('text/plain', katexReplaceWithTex(fragment).textContent); // Prevent normal copy handling.
+
+  event.preventDefault();
+});
diff --git a/docs/static/katex/v0.12.0/contrib/mathtex-script-type.js b/docs/static/katex/v0.12.0/contrib/mathtex-script-type.js
new file mode 100644
index 000000000..daa01a633
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/mathtex-script-type.js
@@ -0,0 +1,137 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else {
+		var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]);
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(0);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__);
+
+var scripts = document.body.getElementsByTagName("script");
+scripts = Array.prototype.slice.call(scripts);
+scripts.forEach(function (script) {
+  if (!script.type || !script.type.match(/math\/tex/i)) {
+    return -1;
+  }
+
+  var display = script.type.match(/mode\s*=\s*display(;|\s|\n|$)/) != null;
+  var katexElement = document.createElement(display ? "div" : "span");
+  katexElement.setAttribute("class", display ? "equation" : "inline-equation");
+
+  try {
+    katex__WEBPACK_IMPORTED_MODULE_0___default.a.render(script.text, katexElement, {
+      displayMode: display
+    });
+  } catch (err) {
+    //console.error(err); linter doesn't like this
+    katexElement.textContent = script.text;
+  }
+
+  script.parentNode.replaceChild(katexElement, script);
+});
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/mathtex-script-type.min.js b/docs/static/katex/v0.12.0/contrib/mathtex-script-type.min.js
new file mode 100644
index 000000000..ae9f52869
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/mathtex-script-type.min.js
@@ -0,0 +1 @@
+!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],t);else{var r="object"==typeof exports?t(require("katex")):t(e.katex);for(var n in r)("object"==typeof exports?exports:e)[n]=r[n]}}("undefined"!=typeof self?self:this,function(e){return function(e){var t={};function r(n){if(t[n])return t[n].exports;var o=t[n]={i:n,l:!1,exports:{}};return e[n].call(o.exports,o,o.exports,r),o.l=!0,o.exports}return r.m=e,r.c=t,r.d=function(e,t,n){r.o(e,t)||Object.defineProperty(e,t,{enumerable:!0,get:n})},r.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)r.d(n,o,function(t){return e[t]}.bind(null,o));return n},r.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return r.d(t,"a",t),t},r.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},r.p="",r(r.s=1)}([function(t,r){t.exports=e},function(e,t,r){"use strict";r.r(t);var n=r(0),o=r.n(n),u=document.body.getElementsByTagName("script");(u=Array.prototype.slice.call(u)).forEach(function(e){if(!e.type||!e.type.match(/math\/tex/i))return-1;var t=null!=e.type.match(/mode\s*=\s*display(;|\s|\n|$)/),r=document.createElement(t?"div":"span");r.setAttribute("class",t?"equation":"inline-equation");try{o.a.render(e.text,r,{displayMode:t})}catch(t){r.textContent=e.text}e.parentNode.replaceChild(r,e)})}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/mathtex-script-type.mjs b/docs/static/katex/v0.12.0/contrib/mathtex-script-type.mjs
new file mode 100644
index 000000000..7cfb90e98
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/mathtex-script-type.mjs
@@ -0,0 +1,24 @@
+import katex from '../katex.mjs';
+
+let scripts = document.body.getElementsByTagName("script");
+scripts = Array.prototype.slice.call(scripts);
+scripts.forEach(function (script) {
+  if (!script.type || !script.type.match(/math\/tex/i)) {
+    return -1;
+  }
+
+  const display = script.type.match(/mode\s*=\s*display(;|\s|\n|$)/) != null;
+  const katexElement = document.createElement(display ? "div" : "span");
+  katexElement.setAttribute("class", display ? "equation" : "inline-equation");
+
+  try {
+    katex.render(script.text, katexElement, {
+      displayMode: display
+    });
+  } catch (err) {
+    //console.error(err); linter doesn't like this
+    katexElement.textContent = script.text;
+  }
+
+  script.parentNode.replaceChild(katexElement, script);
+});
diff --git a/docs/static/katex/v0.12.0/contrib/mhchem.js b/docs/static/katex/v0.12.0/contrib/mhchem.js
new file mode 100644
index 000000000..f84566ef4
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/mhchem.js
@@ -0,0 +1,3241 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else {
+		var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]);
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
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+/******/ 		}
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+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
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+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
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+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
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+/******/ 		}
+/******/ 	};
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+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
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+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
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+/******/ 	__webpack_require__.n = function(module) {
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+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
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+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(0);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__);
+/* eslint-disable */
+
+/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
+
+/* vim: set ts=2 et sw=2 tw=80: */
+
+/*************************************************************
+ *
+ *  KaTeX mhchem.js
+ *
+ *  This file implements a KaTeX version of mhchem version 3.3.0.
+ *  It is adapted from MathJax/extensions/TeX/mhchem.js
+ *  It differs from the MathJax version as follows:
+ *    1. The interface is changed so that it can be called from KaTeX, not MathJax.
+ *    2. \rlap and \llap are replaced with \mathrlap and \mathllap.
+ *    3. Four lines of code are edited in order to use \raisebox instead of \raise.
+ *    4. The reaction arrow code is simplified. All reaction arrows are rendered
+ *       using KaTeX extensible arrows instead of building non-extensible arrows.
+ *    5. \tripledash vertical alignment is slightly adjusted.
+ *
+ *    This code, as other KaTeX code, is released under the MIT license.
+ * 
+ * /*************************************************************
+ *
+ *  MathJax/extensions/TeX/mhchem.js
+ *
+ *  Implements the \ce command for handling chemical formulas
+ *  from the mhchem LaTeX package.
+ *
+ *  ---------------------------------------------------------------------
+ *
+ *  Copyright (c) 2011-2015 The MathJax Consortium
+ *  Copyright (c) 2015-2018 Martin Hensel
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+//
+// Coding Style
+//   - use '' for identifiers that can by minified/uglified
+//   - use "" for strings that need to stay untouched
+// version: "3.3.0" for MathJax and KaTeX
+// Add \ce, \pu, and \tripledash to the KaTeX macros.
+katex__WEBPACK_IMPORTED_MODULE_0___default.a.__defineMacro("\\ce", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "ce");
+});
+
+katex__WEBPACK_IMPORTED_MODULE_0___default.a.__defineMacro("\\pu", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "pu");
+}); //  Needed for \bond for the ~ forms
+//  Raise by 2.56mu, not 2mu. We're raising a hyphen-minus, U+002D, not 
+//  a mathematical minus, U+2212. So we need that extra 0.56.
+
+
+katex__WEBPACK_IMPORTED_MODULE_0___default.a.__defineMacro("\\tripledash", "{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu" + "\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}");
+
+ //
+//  This is the main function for handing the \ce and \pu commands.
+//  It takes the argument to \ce or \pu and returns the corresponding TeX string.
+//
+
+var chemParse = function chemParse(tokens, stateMachine) {
+  // Recreate the argument string from KaTeX's array of tokens.
+  var str = "";
+  var expectedLoc = tokens[tokens.length - 1].loc.start;
+
+  for (var i = tokens.length - 1; i >= 0; i--) {
+    if (tokens[i].loc.start > expectedLoc) {
+      // context.consumeArgs has eaten a space.
+      str += " ";
+      expectedLoc = tokens[i].loc.start;
+    }
+
+    str += tokens[i].text;
+    expectedLoc += tokens[i].text.length;
+  }
+
+  var tex = texify.go(mhchemParser.go(str, stateMachine));
+  return tex;
+}; //
+// Core parser for mhchem syntax  (recursive)
+//
+
+/** @type {MhchemParser} */
+
+
+var mhchemParser = {
+  //
+  // Parses mchem \ce syntax
+  //
+  // Call like
+  //   go("H2O");
+  //
+  go: function go(input, stateMachine) {
+    if (!input) {
+      return [];
+    }
+
+    if (stateMachine === undefined) {
+      stateMachine = 'ce';
+    }
+
+    var state = '0'; //
+    // String buffers for parsing:
+    //
+    // buffer.a == amount
+    // buffer.o == element
+    // buffer.b == left-side superscript
+    // buffer.p == left-side subscript
+    // buffer.q == right-side subscript
+    // buffer.d == right-side superscript
+    //
+    // buffer.r == arrow
+    // buffer.rdt == arrow, script above, type
+    // buffer.rd == arrow, script above, content
+    // buffer.rqt == arrow, script below, type
+    // buffer.rq == arrow, script below, content
+    //
+    // buffer.text_
+    // buffer.rm
+    // etc.
+    //
+    // buffer.parenthesisLevel == int, starting at 0
+    // buffer.sb == bool, space before
+    // buffer.beginsWithBond == bool
+    //
+    // These letters are also used as state names.
+    //
+    // Other states:
+    // 0 == begin of main part (arrow/operator unlikely)
+    // 1 == next entity
+    // 2 == next entity (arrow/operator unlikely)
+    // 3 == next atom
+    // c == macro
+    //
+
+    /** @type {Buffer} */
+
+    var buffer = {};
+    buffer['parenthesisLevel'] = 0;
+    input = input.replace(/\n/g, " ");
+    input = input.replace(/[\u2212\u2013\u2014\u2010]/g, "-");
+    input = input.replace(/[\u2026]/g, "..."); //
+    // Looks through mhchemParser.transitions, to execute a matching action
+    // (recursive)
+    //
+
+    var lastInput;
+    var watchdog = 10;
+    /** @type {ParserOutput[]} */
+
+    var output = [];
+
+    while (true) {
+      if (lastInput !== input) {
+        watchdog = 10;
+        lastInput = input;
+      } else {
+        watchdog--;
+      } //
+      // Find actions in transition table
+      //
+
+
+      var machine = mhchemParser.stateMachines[stateMachine];
+      var t = machine.transitions[state] || machine.transitions['*'];
+
+      iterateTransitions: for (var i = 0; i < t.length; i++) {
+        var matches = mhchemParser.patterns.match_(t[i].pattern, input);
+
+        if (matches) {
+          //
+          // Execute actions
+          //
+          var task = t[i].task;
+
+          for (var iA = 0; iA < task.action_.length; iA++) {
+            var o; //
+            // Find and execute action
+            //
+
+            if (machine.actions[task.action_[iA].type_]) {
+              o = machine.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else if (mhchemParser.actions[task.action_[iA].type_]) {
+              o = mhchemParser.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else {
+              throw ["MhchemBugA", "mhchem bug A. Please report. (" + task.action_[iA].type_ + ")"]; // Trying to use non-existing action
+            } //
+            // Add output
+            //
+
+
+            mhchemParser.concatArray(output, o);
+          } //
+          // Set next state,
+          // Shorten input,
+          // Continue with next character
+          //   (= apply only one transition per position)
+          //
+
+
+          state = task.nextState || state;
+
+          if (input.length > 0) {
+            if (!task.revisit) {
+              input = matches.remainder;
+            }
+
+            if (!task.toContinue) {
+              break iterateTransitions;
+            }
+          } else {
+            return output;
+          }
+        }
+      } //
+      // Prevent infinite loop
+      //
+
+
+      if (watchdog <= 0) {
+        throw ["MhchemBugU", "mhchem bug U. Please report."]; // Unexpected character
+      }
+    }
+  },
+  concatArray: function concatArray(a, b) {
+    if (b) {
+      if (Array.isArray(b)) {
+        for (var iB = 0; iB < b.length; iB++) {
+          a.push(b[iB]);
+        }
+      } else {
+        a.push(b);
+      }
+    }
+  },
+  patterns: {
+    //
+    // Matching patterns
+    // either regexps or function that return null or {match_:"a", remainder:"bc"}
+    //
+    patterns: {
+      // property names must not look like integers ("2") for correct property traversal order, later on
+      'empty': /^$/,
+      'else': /^./,
+      'else2': /^./,
+      'space': /^\s/,
+      'space A': /^\s(?=[A-Z\\$])/,
+      'space$': /^\s$/,
+      'a-z': /^[a-z]/,
+      'x': /^x/,
+      'x$': /^x$/,
+      'i$': /^i$/,
+      'letters': /^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,
+      '\\greek': /^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,
+      'one lowercase latin letter $': /^(?:([a-z])(?:$|[^a-zA-Z]))$/,
+      '$one lowercase latin letter$ $': /^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,
+      'one lowercase greek letter $': /^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,
+      'digits': /^[0-9]+/,
+      '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,
+      '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
+      '(-)(9.,9)(e)(99)': function e99(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '(-)(9)^(-9)': function _(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      'state of aggregation $': function stateOfAggregation$(input) {
+        // ... or crystal system
+        var a = mhchemParser.patterns.findObserveGroups(input, "", /^\([a-z]{1,3}(?=[\),])/, ")", ""); // (aq), (aq,$\infty$), (aq, sat)
+
+        if (a && a.remainder.match(/^($|[\s,;\)\]\}])/)) {
+          return a;
+        } //  AND end of 'phrase'
+
+
+        var m = input.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/); // OR crystal system ($o$) (\ca$c$)
+
+        if (m) {
+          return {
+            match_: m[0],
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '_{(state of aggregation)}$': /^_\{(\([a-z]{1,3}\))\}/,
+      '{[(': /^(?:\\\{|\[|\()/,
+      ')]}': /^(?:\)|\]|\\\})/,
+      ', ': /^[,;]\s*/,
+      ',': /^[,;]/,
+      '.': /^[.]/,
+      '. ': /^([.\u22C5\u00B7\u2022])\s*/,
+      '...': /^\.\.\.(?=$|[^.])/,
+      '* ': /^([*])\s*/,
+      '^{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^{", "", "", "}");
+      },
+      '^($...$)': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", "$", "$", "");
+      },
+      '^a': /^\^([0-9]+|[^\\_])/,
+      '^\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '^\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '^\\x': /^\^(\\[a-zA-Z]+)\s*/,
+      '^(-1)': /^\^(-?\d+)/,
+      '\'': /^'/,
+      '_{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_{", "", "", "}");
+      },
+      '_($...$)': function _$$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", "$", "$", "");
+      },
+      '_9': /^_([+\-]?[0-9]+|[^\\])/,
+      '_\\x{}{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '_\\x{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '_\\x': /^_(\\[a-zA-Z]+)\s*/,
+      '^_': /^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,
+      '{}': /^\{\}/,
+      '{...}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "{", "}", "");
+      },
+      '{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "{", "", "", "}");
+      },
+      '$...$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+      },
+      '${(...)}$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "${", "", "", "}$");
+      },
+      '$(...)$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "$", "", "", "$");
+      },
+      '=<>': /^[=<>]/,
+      '#': /^[#\u2261]/,
+      '+': /^\+/,
+      '-$': /^-(?=[\s_},;\]/]|$|\([a-z]+\))/,
+      // -space -, -; -] -/ -$ -state-of-aggregation
+      '-9': /^-(?=[0-9])/,
+      '- orbital overlap': /^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,
+      '-': /^-/,
+      'pm-operator': /^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,
+      'operator': /^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,
+      'arrowUpDown': /^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,
+      '\\bond{(...)}': function bond(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\bond{", "", "", "}");
+      },
+      '->': /^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,
+      'CMT': /^[CMT](?=\[)/,
+      '[(...)]': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "[", "", "", "]");
+      },
+      '1st-level escape': /^(&|\\\\|\\hline)\s*/,
+      '\\,': /^(?:\\[,\ ;:])/,
+      // \\x - but output no space before
+      '\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '\\ca': /^\\ca(?:\s+|(?![a-zA-Z]))/,
+      '\\x': /^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,
+      'orbital': /^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,
+      // only those with numbers in front, because the others will be formatted correctly anyway
+      'others': /^[\/~|]/,
+      '\\frac{(...)}': function frac(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\frac{", "", "", "}", "{", "", "", "}");
+      },
+      '\\overset{(...)}': function overset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\overset{", "", "", "}", "{", "", "", "}");
+      },
+      "\\underset{(...)}": function underset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underset{", "", "", "}", "{", "", "", "}");
+      },
+      "\\underbrace{(...)}": function underbrace(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underbrace{", "", "", "}_", "{", "", "", "}");
+      },
+      '\\color{(...)}0': function color0(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}");
+      },
+      '\\color{(...)}{(...)}1': function color1(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}", "{", "", "", "}");
+      },
+      '\\color(...){(...)}2': function color2(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color", "\\", "", /^(?=\{)/, "{", "", "", "}");
+      },
+      '\\ce{(...)}': function ce(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\ce{", "", "", "}");
+      },
+      'oxidation$': /^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      'd-oxidation$': /^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      // 0 could be oxidation or charge
+      'roman numeral': /^[IVX]+/,
+      '1/2$': /^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,
+      'amount': function amount(input) {
+        var match; // e.g. 2, 0.5, 1/2, -2, n/2, +;  $a$ could be added later in parsing
+
+        match = input.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        var a = mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+
+        if (a) {
+          // e.g. $2n-1$, $-$
+          match = a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/);
+
+          if (match) {
+            return {
+              match_: match[0],
+              remainder: input.substr(match[0].length)
+            };
+          }
+        }
+
+        return null;
+      },
+      'amount2': function amount2(input) {
+        return this['amount'](input);
+      },
+      '(KV letters),': /^(?:[A-Z][a-z]{0,2}|i)(?=,)/,
+      'formula$': function formula$(input) {
+        if (input.match(/^\([a-z]+\)$/)) {
+          return null;
+        } // state of aggregation = no formula
+
+
+        var match = input.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      },
+      'uprightEntities': /^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,
+      '/': /^\s*(\/)\s*/,
+      '//': /^\s*(\/\/)\s*/,
+      '*': /^\s*[*.]\s*/
+    },
+    findObserveGroups: function findObserveGroups(input, begExcl, begIncl, endIncl, endExcl, beg2Excl, beg2Incl, end2Incl, end2Excl, combine) {
+      /** @type {{(input: string, pattern: string | RegExp): string | string[] | null;}} */
+      var _match = function _match(input, pattern) {
+        if (typeof pattern === "string") {
+          if (input.indexOf(pattern) !== 0) {
+            return null;
+          }
+
+          return pattern;
+        } else {
+          var match = input.match(pattern);
+
+          if (!match) {
+            return null;
+          }
+
+          return match[0];
+        }
+      };
+      /** @type {{(input: string, i: number, endChars: string | RegExp): {endMatchBegin: number, endMatchEnd: number} | null;}} */
+
+
+      var _findObserveGroups = function _findObserveGroups(input, i, endChars) {
+        var braces = 0;
+
+        while (i < input.length) {
+          var a = input.charAt(i);
+
+          var match = _match(input.substr(i), endChars);
+
+          if (match !== null && braces === 0) {
+            return {
+              endMatchBegin: i,
+              endMatchEnd: i + match.length
+            };
+          } else if (a === "{") {
+            braces++;
+          } else if (a === "}") {
+            if (braces === 0) {
+              throw ["ExtraCloseMissingOpen", "Extra close brace or missing open brace"];
+            } else {
+              braces--;
+            }
+          }
+
+          i++;
+        }
+
+        if (braces > 0) {
+          return null;
+        }
+
+        return null;
+      };
+
+      var match = _match(input, begExcl);
+
+      if (match === null) {
+        return null;
+      }
+
+      input = input.substr(match.length);
+      match = _match(input, begIncl);
+
+      if (match === null) {
+        return null;
+      }
+
+      var e = _findObserveGroups(input, match.length, endIncl || endExcl);
+
+      if (e === null) {
+        return null;
+      }
+
+      var match1 = input.substring(0, endIncl ? e.endMatchEnd : e.endMatchBegin);
+
+      if (!(beg2Excl || beg2Incl)) {
+        return {
+          match_: match1,
+          remainder: input.substr(e.endMatchEnd)
+        };
+      } else {
+        var group2 = this.findObserveGroups(input.substr(e.endMatchEnd), beg2Excl, beg2Incl, end2Incl, end2Excl);
+
+        if (group2 === null) {
+          return null;
+        }
+        /** @type {string[]} */
+
+
+        var matchRet = [match1, group2.match_];
+        return {
+          match_: combine ? matchRet.join("") : matchRet,
+          remainder: group2.remainder
+        };
+      }
+    },
+    //
+    // Matching function
+    // e.g. match("a", input) will look for the regexp called "a" and see if it matches
+    // returns null or {match_:"a", remainder:"bc"}
+    //
+    match_: function match_(m, input) {
+      var pattern = mhchemParser.patterns.patterns[m];
+
+      if (pattern === undefined) {
+        throw ["MhchemBugP", "mhchem bug P. Please report. (" + m + ")"]; // Trying to use non-existing pattern
+      } else if (typeof pattern === "function") {
+        return mhchemParser.patterns.patterns[m](input); // cannot use cached var pattern here, because some pattern functions need this===mhchemParser
+      } else {
+        // RegExp
+        var match = input.match(pattern);
+
+        if (match) {
+          var mm;
+
+          if (match[2]) {
+            mm = [match[1], match[2]];
+          } else if (match[1]) {
+            mm = match[1];
+          } else {
+            mm = match[0];
+          }
+
+          return {
+            match_: mm,
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      }
+    }
+  },
+  //
+  // Generic state machine actions
+  //
+  actions: {
+    'a=': function a(buffer, m) {
+      buffer.a = (buffer.a || "") + m;
+    },
+    'b=': function b(buffer, m) {
+      buffer.b = (buffer.b || "") + m;
+    },
+    'p=': function p(buffer, m) {
+      buffer.p = (buffer.p || "") + m;
+    },
+    'o=': function o(buffer, m) {
+      buffer.o = (buffer.o || "") + m;
+    },
+    'q=': function q(buffer, m) {
+      buffer.q = (buffer.q || "") + m;
+    },
+    'd=': function d(buffer, m) {
+      buffer.d = (buffer.d || "") + m;
+    },
+    'rm=': function rm(buffer, m) {
+      buffer.rm = (buffer.rm || "") + m;
+    },
+    'text=': function text(buffer, m) {
+      buffer.text_ = (buffer.text_ || "") + m;
+    },
+    'insert': function insert(buffer, m, a) {
+      return {
+        type_: a
+      };
+    },
+    'insert+p1': function insertP1(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m
+      };
+    },
+    'insert+p1+p2': function insertP1P2(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m[0],
+        p2: m[1]
+      };
+    },
+    'copy': function copy(buffer, m) {
+      return m;
+    },
+    'rm': function rm(buffer, m) {
+      return {
+        type_: 'rm',
+        p1: m || ""
+      };
+    },
+    'text': function text(buffer, m) {
+      return mhchemParser.go(m, 'text');
+    },
+    '{text}': function text(buffer, m) {
+      var ret = ["{"];
+      mhchemParser.concatArray(ret, mhchemParser.go(m, 'text'));
+      ret.push("}");
+      return ret;
+    },
+    'tex-math': function texMath(buffer, m) {
+      return mhchemParser.go(m, 'tex-math');
+    },
+    'tex-math tight': function texMathTight(buffer, m) {
+      return mhchemParser.go(m, 'tex-math tight');
+    },
+    'bond': function bond(buffer, m, k) {
+      return {
+        type_: 'bond',
+        kind_: k || m
+      };
+    },
+    'color0-output': function color0Output(buffer, m) {
+      return {
+        type_: 'color0',
+        color: m[0]
+      };
+    },
+    'ce': function ce(buffer, m) {
+      return mhchemParser.go(m);
+    },
+    '1/2': function _(buffer, m) {
+      /** @type {ParserOutput[]} */
+      var ret = [];
+
+      if (m.match(/^[+\-]/)) {
+        ret.push(m.substr(0, 1));
+        m = m.substr(1);
+      }
+
+      var n = m.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/);
+      n[1] = n[1].replace(/\$/g, "");
+      ret.push({
+        type_: 'frac',
+        p1: n[1],
+        p2: n[2]
+      });
+
+      if (n[3]) {
+        n[3] = n[3].replace(/\$/g, "");
+        ret.push({
+          type_: 'tex-math',
+          p1: n[3]
+        });
+      }
+
+      return ret;
+    },
+    '9,9': function _(buffer, m) {
+      return mhchemParser.go(m, '9,9');
+    }
+  },
+  //
+  // createTransitions
+  // convert  { 'letter': { 'state': { action_: 'output' } } }  to  { 'state' => [ { pattern: 'letter', task: { action_: [{type_: 'output'}] } } ] }
+  // with expansion of 'a|b' to 'a' and 'b' (at 2 places)
+  //
+  createTransitions: function createTransitions(o) {
+    var pattern, state;
+    /** @type {string[]} */
+
+    var stateArray;
+    var i; //
+    // 1. Collect all states
+    //
+
+    /** @type {Transitions} */
+
+    var transitions = {};
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = state.split("|");
+        o[pattern][state].stateArray = stateArray;
+
+        for (i = 0; i < stateArray.length; i++) {
+          transitions[stateArray[i]] = [];
+        }
+      }
+    } //
+    // 2. Fill states
+    //
+
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = o[pattern][state].stateArray || [];
+
+        for (i = 0; i < stateArray.length; i++) {
+          //
+          // 2a. Normalize actions into array:  'text=' ==> [{type_:'text='}]
+          // (Note to myself: Resolving the function here would be problematic. It would need .bind (for *this*) and currying (for *option*).)
+          //
+
+          /** @type {any} */
+          var p = o[pattern][state];
+
+          if (p.action_) {
+            p.action_ = [].concat(p.action_);
+
+            for (var k = 0; k < p.action_.length; k++) {
+              if (typeof p.action_[k] === "string") {
+                p.action_[k] = {
+                  type_: p.action_[k]
+                };
+              }
+            }
+          } else {
+            p.action_ = [];
+          } //
+          // 2.b Multi-insert
+          //
+
+
+          var patternArray = pattern.split("|");
+
+          for (var j = 0; j < patternArray.length; j++) {
+            if (stateArray[i] === '*') {
+              // insert into all
+              for (var t in transitions) {
+                transitions[t].push({
+                  pattern: patternArray[j],
+                  task: p
+                });
+              }
+            } else {
+              transitions[stateArray[i]].push({
+                pattern: patternArray[j],
+                task: p
+              });
+            }
+          }
+        }
+      }
+    }
+
+    return transitions;
+  },
+  stateMachines: {}
+}; //
+// Definition of state machines
+//
+
+mhchemParser.stateMachines = {
+  //
+  // \ce state machines
+  //
+  //#region ce
+  'ce': {
+    // main parser
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'else': {
+        '0|1|2': {
+          action_: 'beginsWithBond=false',
+          revisit: true,
+          toContinue: true
+        }
+      },
+      'oxidation$': {
+        '0': {
+          action_: 'oxidation-output'
+        }
+      },
+      'CMT': {
+        'r': {
+          action_: 'rdt=',
+          nextState: 'rt'
+        },
+        'rd': {
+          action_: 'rqt=',
+          nextState: 'rdt'
+        }
+      },
+      'arrowUpDown': {
+        '0|1|2|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '1'
+        }
+      },
+      'uprightEntities': {
+        '0|1|2': {
+          action_: ['o=', 'output'],
+          nextState: '1'
+        }
+      },
+      'orbital': {
+        '0|1|2|3': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      '->': {
+        '0|1|2|3': {
+          action_: 'r=',
+          nextState: 'r'
+        },
+        'a|as': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        },
+        '*': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        }
+      },
+      '+': {
+        'o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'd|D': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd|qD': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        },
+        '3': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      'amount': {
+        '0|2': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'pm-operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', {
+            type_: 'operator',
+            option: '\\pm'
+          }],
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      '-$': {
+        'o|q': {
+          action_: ['charge or bond', 'output'],
+          nextState: 'qd'
+        },
+        'd': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'D': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qD|dq': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      '-9': {
+        '3|o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '3'
+        }
+      },
+      '- orbital overlap': {
+        'o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'd': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        }
+      },
+      '-': {
+        '0|1|2': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'beginsWithBond=true', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        '3': {
+          action_: {
+            type_: 'bond',
+            option: "-"
+          }
+        },
+        'a': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'as': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'b': {
+          action_: 'b='
+        },
+        'o': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'q': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'd|qd|dq': {
+          action_: {
+            type_: '- after o/d',
+            option: true
+          },
+          nextState: '2'
+        },
+        'D|qD|p': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      'amount2': {
+        '1|3': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'letters': {
+        '0|1|2|3|a|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'q|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'd|D|qd|qD': {
+          action_: 'o after d',
+          nextState: 'o'
+        }
+      },
+      'digits': {
+        'o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'a': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      'space A': {
+        'b|p|bp': {}
+      },
+      'space': {
+        'a': {
+          nextState: 'as'
+        },
+        '0': {
+          action_: 'sb=false'
+        },
+        '1|2': {
+          action_: 'sb=true'
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: 'output',
+          nextState: '0'
+        },
+        '*': {
+          action_: ['output', 'sb=true'],
+          nextState: '1'
+        }
+      },
+      '1st-level escape': {
+        '1|2': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }]
+        },
+        '*': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }],
+          nextState: '0'
+        }
+      },
+      '[(...)]': {
+        'r|rt': {
+          action_: 'rd=',
+          nextState: 'rd'
+        },
+        'rd|rdt': {
+          action_: 'rq=',
+          nextState: 'rdq'
+        }
+      },
+      '...': {
+        'o|d|D|dq|qd|qD': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "..."
+          }],
+          nextState: '3'
+        },
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, {
+            type_: 'insert',
+            option: 'ellipsis'
+          }],
+          nextState: '1'
+        }
+      },
+      '. |* ': {
+        '*': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'addition compound'
+          }],
+          nextState: '1'
+        }
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: ['output', 'state of aggregation'],
+          nextState: '1'
+        }
+      },
+      '{[(': {
+        'a|as|o': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '0|1|2|3': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        }
+      },
+      ')]}': {
+        '0|1|2|3|b|p|bp|o': {
+          action_: ['o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        },
+        'a|as|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        }
+      },
+      ', ': {
+        '*': {
+          action_: ['output', 'comma'],
+          nextState: '0'
+        }
+      },
+      '^_': {
+        // ^ and _ without a sensible argument
+        '*': {}
+      },
+      '^{(...)}|^($...$)': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'D'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qD'
+        },
+        'd|D|qd|qD|dq': {
+          action_: ['output', 'd='],
+          nextState: 'D'
+        }
+      },
+      '^a|^\\x{}{}|^\\x{}|^\\x|\'': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'd|qd|D|qD': {
+          action_: 'd='
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        }
+      },
+      '_{(state of aggregation)}$': {
+        'd|D|q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x': {
+        '0|1|2|as': {
+          action_: 'p=',
+          nextState: 'p'
+        },
+        'b': {
+          action_: 'p=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '=<>': {
+        '0|1|2|3|a|as|o|q|d|D|qd|qD|dq': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: '3'
+        }
+      },
+      '#': {
+        '0|1|2|3|a|as|o': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "#"
+          }],
+          nextState: '3'
+        }
+      },
+      '{}': {
+        '*': {
+          action_: {
+            type_: 'output',
+            option: 1
+          },
+          nextState: '1'
+        }
+      },
+      '{...}': {
+        '0|1|2|3|a|as|b|p|bp': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'o|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '$...$': {
+        'a': {
+          action_: 'a='
+        },
+        // 2$n$
+        '0|1|2|3|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        // not 'amount'
+        'as|o': {
+          action_: 'o='
+        },
+        'q|d|D|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '\\bond{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: "3"
+        }
+      },
+      '\\frac{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'frac-output'],
+          nextState: '3'
+        }
+      },
+      '\\overset{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'overset-output'],
+          nextState: '3'
+        }
+      },
+      "\\underset{(...)}": {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underset-output'],
+          nextState: '3'
+        }
+      },
+      "\\underbrace{(...)}": {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underbrace-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color0-output']
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'ce'],
+          nextState: '3'
+        }
+      },
+      '\\,': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '1'
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '0|1|2|3|a|as|b|p|bp|o|c0': {
+          action_: ['o=', 'output'],
+          nextState: '3'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output'],
+          nextState: '3'
+        }
+      },
+      'others': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '3'
+        }
+      },
+      'else2': {
+        'a': {
+          action_: 'a to o',
+          nextState: 'o',
+          revisit: true
+        },
+        'as': {
+          action_: ['output', 'sb=true'],
+          nextState: '1',
+          revisit: true
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: ['output'],
+          nextState: '0',
+          revisit: true
+        },
+        '*': {
+          action_: ['output', 'copy'],
+          nextState: '3'
+        }
+      }
+    }),
+    actions: {
+      'o after d': function oAfterD(buffer, m) {
+        var ret;
+
+        if ((buffer.d || "").match(/^[0-9]+$/)) {
+          var tmp = buffer.d;
+          buffer.d = undefined;
+          ret = this['output'](buffer);
+          buffer.b = tmp;
+        } else {
+          ret = this['output'](buffer);
+        }
+
+        mhchemParser.actions['o='](buffer, m);
+        return ret;
+      },
+      'd= kv': function dKv(buffer, m) {
+        buffer.d = m;
+        buffer.dType = 'kv';
+      },
+      'charge or bond': function chargeOrBond(buffer, m) {
+        if (buffer['beginsWithBond']) {
+          /** @type {ParserOutput[]} */
+          var ret = [];
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          return ret;
+        } else {
+          buffer.d = m;
+        }
+      },
+      '- after o/d': function afterOD(buffer, m, isAfterD) {
+        var c1 = mhchemParser.patterns.match_('orbital', buffer.o || "");
+        var c2 = mhchemParser.patterns.match_('one lowercase greek letter $', buffer.o || "");
+        var c3 = mhchemParser.patterns.match_('one lowercase latin letter $', buffer.o || "");
+        var c4 = mhchemParser.patterns.match_('$one lowercase latin letter$ $', buffer.o || "");
+        var hyphenFollows = m === "-" && (c1 && c1.remainder === "" || c2 || c3 || c4);
+
+        if (hyphenFollows && !buffer.a && !buffer.b && !buffer.p && !buffer.d && !buffer.q && !c1 && c3) {
+          buffer.o = '$' + buffer.o + '$';
+        }
+        /** @type {ParserOutput[]} */
+
+
+        var ret = [];
+
+        if (hyphenFollows) {
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          ret.push({
+            type_: 'hyphen'
+          });
+        } else {
+          c1 = mhchemParser.patterns.match_('digits', buffer.d || "");
+
+          if (isAfterD && c1 && c1.remainder === '') {
+            mhchemParser.concatArray(ret, mhchemParser.actions['d='](buffer, m));
+            mhchemParser.concatArray(ret, this['output'](buffer));
+          } else {
+            mhchemParser.concatArray(ret, this['output'](buffer));
+            mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          }
+        }
+
+        return ret;
+      },
+      'a to o': function aToO(buffer) {
+        buffer.o = buffer.a;
+        buffer.a = undefined;
+      },
+      'sb=true': function sbTrue(buffer) {
+        buffer.sb = true;
+      },
+      'sb=false': function sbFalse(buffer) {
+        buffer.sb = false;
+      },
+      'beginsWithBond=true': function beginsWithBondTrue(buffer) {
+        buffer['beginsWithBond'] = true;
+      },
+      'beginsWithBond=false': function beginsWithBondFalse(buffer) {
+        buffer['beginsWithBond'] = false;
+      },
+      'parenthesisLevel++': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']++;
+      },
+      'parenthesisLevel--': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']--;
+      },
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'comma': function comma(buffer, m) {
+        var a = m.replace(/\s*$/, '');
+        var withSpace = a !== m;
+
+        if (withSpace && buffer['parenthesisLevel'] === 0) {
+          return {
+            type_: 'comma enumeration L',
+            p1: a
+          };
+        } else {
+          return {
+            type_: 'comma enumeration M',
+            p1: a
+          };
+        }
+      },
+      'output': function output(buffer, m, entityFollows) {
+        // entityFollows:
+        //   undefined = if we have nothing else to output, also ignore the just read space (buffer.sb)
+        //   1 = an entity follows, never omit the space if there was one just read before (can only apply to state 1)
+        //   2 = 1 + the entity can have an amount, so output a\, instead of converting it to o (can only apply to states a|as)
+
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+
+        if (!buffer.r) {
+          ret = [];
+
+          if (!buffer.a && !buffer.b && !buffer.p && !buffer.o && !buffer.q && !buffer.d && !entityFollows) {//ret = [];
+          } else {
+            if (buffer.sb) {
+              ret.push({
+                type_: 'entitySkip'
+              });
+            }
+
+            if (!buffer.o && !buffer.q && !buffer.d && !buffer.b && !buffer.p && entityFollows !== 2) {
+              buffer.o = buffer.a;
+              buffer.a = undefined;
+            } else if (!buffer.o && !buffer.q && !buffer.d && (buffer.b || buffer.p)) {
+              buffer.o = buffer.a;
+              buffer.d = buffer.b;
+              buffer.q = buffer.p;
+              buffer.a = buffer.b = buffer.p = undefined;
+            } else {
+              if (buffer.o && buffer.dType === 'kv' && mhchemParser.patterns.match_('d-oxidation$', buffer.d || "")) {
+                buffer.dType = 'oxidation';
+              } else if (buffer.o && buffer.dType === 'kv' && !buffer.q) {
+                buffer.dType = undefined;
+              }
+            }
+
+            ret.push({
+              type_: 'chemfive',
+              a: mhchemParser.go(buffer.a, 'a'),
+              b: mhchemParser.go(buffer.b, 'bd'),
+              p: mhchemParser.go(buffer.p, 'pq'),
+              o: mhchemParser.go(buffer.o, 'o'),
+              q: mhchemParser.go(buffer.q, 'pq'),
+              d: mhchemParser.go(buffer.d, buffer.dType === 'oxidation' ? 'oxidation' : 'bd'),
+              dType: buffer.dType
+            });
+          }
+        } else {
+          // r
+
+          /** @type {ParserOutput[]} */
+          var rd;
+
+          if (buffer.rdt === 'M') {
+            rd = mhchemParser.go(buffer.rd, 'tex-math');
+          } else if (buffer.rdt === 'T') {
+            rd = [{
+              type_: 'text',
+              p1: buffer.rd || ""
+            }];
+          } else {
+            rd = mhchemParser.go(buffer.rd);
+          }
+          /** @type {ParserOutput[]} */
+
+
+          var rq;
+
+          if (buffer.rqt === 'M') {
+            rq = mhchemParser.go(buffer.rq, 'tex-math');
+          } else if (buffer.rqt === 'T') {
+            rq = [{
+              type_: 'text',
+              p1: buffer.rq || ""
+            }];
+          } else {
+            rq = mhchemParser.go(buffer.rq);
+          }
+
+          ret = {
+            type_: 'arrow',
+            r: buffer.r,
+            rd: rd,
+            rq: rq
+          };
+        }
+
+        for (var p in buffer) {
+          if (p !== 'parenthesisLevel' && p !== 'beginsWithBond') {
+            delete buffer[p];
+          }
+        }
+
+        return ret;
+      },
+      'oxidation-output': function oxidationOutput(buffer, m) {
+        var ret = ["{"];
+        mhchemParser.concatArray(ret, mhchemParser.go(m, 'oxidation'));
+        ret.push("}");
+        return ret;
+      },
+      'frac-output': function fracOutput(buffer, m) {
+        return {
+          type_: 'frac-ce',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'overset-output': function oversetOutput(buffer, m) {
+        return {
+          type_: 'overset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underset-output': function undersetOutput(buffer, m) {
+        return {
+          type_: 'underset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underbrace-output': function underbraceOutput(buffer, m) {
+        return {
+          type_: 'underbrace',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1])
+        };
+      },
+      'r=': function r(buffer, m) {
+        buffer.r = m;
+      },
+      'rdt=': function rdt(buffer, m) {
+        buffer.rdt = m;
+      },
+      'rd=': function rd(buffer, m) {
+        buffer.rd = m;
+      },
+      'rqt=': function rqt(buffer, m) {
+        buffer.rqt = m;
+      },
+      'rq=': function rq(buffer, m) {
+        buffer.rq = m;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      }
+    }
+  },
+  'a': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      '$(...)$': {
+        '*': {
+          action_: 'tex-math tight',
+          nextState: '1'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'commaDecimal'
+          }
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'o': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\\ca': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'circa'
+          }
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: '{text}'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'text': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '{...}': {
+        '*': {
+          action_: 'text='
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '\\greek': {
+        '*': {
+          action_: ['output', 'rm']
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: ['output', 'copy']
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.text_) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'text',
+            p1: buffer.text_
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'pq': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: 'state of aggregation'
+        }
+      },
+      'i$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '(KV letters),': {
+        '0': {
+          action_: 'rm',
+          nextState: '0'
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '-9.,9': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert+p1',
+            option: 'comma enumeration S'
+          }
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation subscript',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'pq')
+        };
+      }
+    }
+  },
+  'bd': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'x$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '-9.,9 no missing 0': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      '.': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'electron dot'
+          }
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'x': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'KV x'
+          }
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\'': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'prime'
+          }
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'bd')
+        };
+      }
+    }
+  },
+  'oxidation': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'roman numeral': {
+        '*': {
+          action_: 'roman-numeral'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'roman-numeral': function romanNumeral(buffer, m) {
+        return {
+          type_: 'roman numeral',
+          p1: m || ""
+        };
+      }
+    }
+  },
+  'tex-math': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'tex-math tight': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      '-|+': {
+        '*': {
+          action_: 'tight operator'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'tight operator': function tightOperator(buffer, m) {
+        buffer.o = (buffer.o || "") + "{" + m + "}";
+      },
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  '9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      ',': {
+        '*': {
+          action_: 'comma'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      }
+    }
+  },
+  //#endregion
+  //
+  // \pu state machines
+  //
+  //#region pu
+  'pu': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'space$': {
+        '*': {
+          action_: ['output', 'space']
+        }
+      },
+      '{[(|)]}': {
+        '0|a': {
+          action_: 'copy'
+        }
+      },
+      '(-)(9)^(-9)': {
+        '0': {
+          action_: 'number^',
+          nextState: 'a'
+        }
+      },
+      '(-)(9.,9)(e)(99)': {
+        '0': {
+          action_: 'enumber',
+          nextState: 'a'
+        }
+      },
+      'space': {
+        '0|a': {}
+      },
+      'pm-operator': {
+        '0|a': {
+          action_: {
+            type_: 'operator',
+            option: '\\pm'
+          },
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|a': {
+          action_: 'copy',
+          nextState: '0'
+        }
+      },
+      '//': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '/': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '{...}|else': {
+        '0|d': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'a': {
+          action_: ['space', 'd='],
+          nextState: 'd'
+        },
+        '/|q': {
+          action_: 'q=',
+          nextState: 'q'
+        }
+      }
+    }),
+    actions: {
+      'enumber': function enumber(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        if (m[1]) {
+          mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+
+          if (m[2]) {
+            if (m[2].match(/[,.]/)) {
+              mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9'));
+            } else {
+              ret.push(m[2]);
+            }
+          }
+
+          m[3] = m[4] || m[3];
+
+          if (m[3]) {
+            m[3] = m[3].trim();
+
+            if (m[3] === "e" || m[3].substr(0, 1) === "*") {
+              ret.push({
+                type_: 'cdot'
+              });
+            } else {
+              ret.push({
+                type_: 'times'
+              });
+            }
+          }
+        }
+
+        if (m[3]) {
+          ret.push("10^{" + m[5] + "}");
+        }
+
+        return ret;
+      },
+      'number^': function number(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+        ret.push("^{" + m[2] + "}");
+        return ret;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-1'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+        var md = mhchemParser.patterns.match_('{(...)}', buffer.d || "");
+
+        if (md && md.remainder === '') {
+          buffer.d = md.match_;
+        }
+
+        var mq = mhchemParser.patterns.match_('{(...)}', buffer.q || "");
+
+        if (mq && mq.remainder === '') {
+          buffer.q = mq.match_;
+        }
+
+        if (buffer.d) {
+          buffer.d = buffer.d.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.d = buffer.d.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+        }
+
+        if (buffer.q) {
+          // fraction
+          buffer.q = buffer.q.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.q = buffer.q.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+          var b5 = {
+            d: mhchemParser.go(buffer.d, 'pu'),
+            q: mhchemParser.go(buffer.q, 'pu')
+          };
+
+          if (buffer.o === '//') {
+            ret = {
+              type_: 'pu-frac',
+              p1: b5.d,
+              p2: b5.q
+            };
+          } else {
+            ret = b5.d;
+
+            if (b5.d.length > 1 || b5.q.length > 1) {
+              ret.push({
+                type_: ' / '
+              });
+            } else {
+              ret.push({
+                type_: '/'
+              });
+            }
+
+            mhchemParser.concatArray(ret, b5.q);
+          }
+        } else {
+          // no fraction
+          ret = mhchemParser.go(buffer.d, 'pu-2');
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-2': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '*': {
+        '*': {
+          action_: ['output', 'cdot'],
+          nextState: '0'
+        }
+      },
+      '\\x': {
+        '*': {
+          action_: 'rm='
+        }
+      },
+      'space': {
+        '*': {
+          action_: ['output', 'space'],
+          nextState: '0'
+        }
+      },
+      '^{(...)}|^(-1)': {
+        '1': {
+          action_: '^(-1)'
+        }
+      },
+      '-9.,9': {
+        '0': {
+          action_: 'rm=',
+          nextState: '0'
+        },
+        '1': {
+          action_: '^(-1)',
+          nextState: '0'
+        }
+      },
+      '{...}|else': {
+        '*': {
+          action_: 'rm=',
+          nextState: '1'
+        }
+      }
+    }),
+    actions: {
+      'cdot': function cdot() {
+        return {
+          type_: 'tight cdot'
+        };
+      },
+      '^(-1)': function _(buffer, m) {
+        buffer.rm += "^{" + m + "}";
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-2'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret = [];
+
+        if (buffer.rm) {
+          var mrm = mhchemParser.patterns.match_('{(...)}', buffer.rm || "");
+
+          if (mrm && mrm.remainder === '') {
+            ret = mhchemParser.go(mrm.match_, 'pu');
+          } else {
+            ret = {
+              type_: 'rm',
+              p1: buffer.rm
+            };
+          }
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '0': {
+          action_: 'output-0'
+        },
+        'o': {
+          action_: 'output-o'
+        }
+      },
+      ',': {
+        '0': {
+          action_: ['output-0', 'comma'],
+          nextState: 'o'
+        }
+      },
+      '.': {
+        '0': {
+          action_: ['output-0', 'copy'],
+          nextState: 'o'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      },
+      'output-0': function output0(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length % 3;
+
+          if (a === 0) {
+            a = 3;
+          }
+
+          for (var i = buffer.text_.length - 3; i > 0; i -= 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(0, a));
+          ret.reverse();
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      },
+      'output-o': function outputO(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length - 3;
+
+          for (var i = 0; i < a; i += 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(i));
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    } //#endregion
+
+  }
+}; //
+// texify: Take MhchemParser output and convert it to TeX
+//
+
+/** @type {Texify} */
+
+var texify = {
+  go: function go(input, isInner) {
+    // (recursive, max 4 levels)
+    if (!input) {
+      return "";
+    }
+
+    var res = "";
+    var cee = false;
+
+    for (var i = 0; i < input.length; i++) {
+      var inputi = input[i];
+
+      if (typeof inputi === "string") {
+        res += inputi;
+      } else {
+        res += texify._go2(inputi);
+
+        if (inputi.type_ === '1st-level escape') {
+          cee = true;
+        }
+      }
+    }
+
+    if (!isInner && !cee && res) {
+      res = "{" + res + "}";
+    }
+
+    return res;
+  },
+  _goInner: function _goInner(input) {
+    if (!input) {
+      return input;
+    }
+
+    return texify.go(input, true);
+  },
+  _go2: function _go2(buf) {
+    /** @type {undefined | string} */
+    var res;
+
+    switch (buf.type_) {
+      case 'chemfive':
+        res = "";
+        var b5 = {
+          a: texify._goInner(buf.a),
+          b: texify._goInner(buf.b),
+          p: texify._goInner(buf.p),
+          o: texify._goInner(buf.o),
+          q: texify._goInner(buf.q),
+          d: texify._goInner(buf.d)
+        }; //
+        // a
+        //
+
+        if (b5.a) {
+          if (b5.a.match(/^[+\-]/)) {
+            b5.a = "{" + b5.a + "}";
+          }
+
+          res += b5.a + "\\,";
+        } //
+        // b and p
+        //
+
+
+        if (b5.b || b5.p) {
+          res += "{\\vphantom{X}}";
+          res += "^{\\hphantom{" + (b5.b || "") + "}}_{\\hphantom{" + (b5.p || "") + "}}";
+          res += "{\\vphantom{X}}";
+          res += "^{\\smash[t]{\\vphantom{2}}\\mathllap{" + (b5.b || "") + "}}";
+          res += "_{\\vphantom{2}\\mathllap{\\smash[t]{" + (b5.p || "") + "}}}";
+        } //
+        // o
+        //
+
+
+        if (b5.o) {
+          if (b5.o.match(/^[+\-]/)) {
+            b5.o = "{" + b5.o + "}";
+          }
+
+          res += b5.o;
+        } //
+        // q and d
+        //
+
+
+        if (buf.dType === 'kv') {
+          if (b5.d || b5.q) {
+            res += "{\\vphantom{X}}";
+          }
+
+          if (b5.d) {
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else if (buf.dType === 'oxidation') {
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else {
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+        }
+
+        break;
+
+      case 'rm':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'text':
+        if (buf.p1.match(/[\^_]/)) {
+          buf.p1 = buf.p1.replace(" ", "~").replace("-", "\\text{-}");
+          res = "\\mathrm{" + buf.p1 + "}";
+        } else {
+          res = "\\text{" + buf.p1 + "}";
+        }
+
+        break;
+
+      case 'roman numeral':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'state of aggregation':
+        res = "\\mskip2mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'state of aggregation subscript':
+        res = "\\mskip1mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'bond':
+        res = texify._getBond(buf.kind_);
+
+        if (!res) {
+          throw ["MhchemErrorBond", "mhchem Error. Unknown bond type (" + buf.kind_ + ")"];
+        }
+
+        break;
+
+      case 'frac':
+        var c = "\\frac{" + buf.p1 + "}{" + buf.p2 + "}";
+        res = "\\mathchoice{\\textstyle" + c + "}{" + c + "}{" + c + "}{" + c + "}";
+        break;
+
+      case 'pu-frac':
+        var d = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        res = "\\mathchoice{\\textstyle" + d + "}{" + d + "}{" + d + "}{" + d + "}";
+        break;
+
+      case 'tex-math':
+        res = buf.p1 + " ";
+        break;
+
+      case 'frac-ce':
+        res = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'overset':
+        res = "\\overset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underset':
+        res = "\\underset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underbrace':
+        res = "\\underbrace{" + texify._goInner(buf.p1) + "}_{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'color':
+        res = "{\\color{" + buf.color1 + "}{" + texify._goInner(buf.color2) + "}}";
+        break;
+
+      case 'color0':
+        res = "\\color{" + buf.color + "}";
+        break;
+
+      case 'arrow':
+        var b6 = {
+          rd: texify._goInner(buf.rd),
+          rq: texify._goInner(buf.rq)
+        };
+
+        var arrow = "\\x" + texify._getArrow(buf.r);
+
+        if (b6.rq) {
+          arrow += "[{" + b6.rq + "}]";
+        }
+
+        if (b6.rd) {
+          arrow += "{" + b6.rd + "}";
+        } else {
+          arrow += "{}";
+        }
+
+        res = arrow;
+        break;
+
+      case 'operator':
+        res = texify._getOperator(buf.kind_);
+        break;
+
+      case '1st-level escape':
+        res = buf.p1 + " "; // &, \\\\, \\hlin
+
+        break;
+
+      case 'space':
+        res = " ";
+        break;
+
+      case 'entitySkip':
+        res = "~";
+        break;
+
+      case 'pu-space-1':
+        res = "~";
+        break;
+
+      case 'pu-space-2':
+        res = "\\mkern3mu ";
+        break;
+
+      case '1000 separator':
+        res = "\\mkern2mu ";
+        break;
+
+      case 'commaDecimal':
+        res = "{,}";
+        break;
+
+      case 'comma enumeration L':
+        res = "{" + buf.p1 + "}\\mkern6mu ";
+        break;
+
+      case 'comma enumeration M':
+        res = "{" + buf.p1 + "}\\mkern3mu ";
+        break;
+
+      case 'comma enumeration S':
+        res = "{" + buf.p1 + "}\\mkern1mu ";
+        break;
+
+      case 'hyphen':
+        res = "\\text{-}";
+        break;
+
+      case 'addition compound':
+        res = "\\,{\\cdot}\\,";
+        break;
+
+      case 'electron dot':
+        res = "\\mkern1mu \\bullet\\mkern1mu ";
+        break;
+
+      case 'KV x':
+        res = "{\\times}";
+        break;
+
+      case 'prime':
+        res = "\\prime ";
+        break;
+
+      case 'cdot':
+        res = "\\cdot ";
+        break;
+
+      case 'tight cdot':
+        res = "\\mkern1mu{\\cdot}\\mkern1mu ";
+        break;
+
+      case 'times':
+        res = "\\times ";
+        break;
+
+      case 'circa':
+        res = "{\\sim}";
+        break;
+
+      case '^':
+        res = "uparrow";
+        break;
+
+      case 'v':
+        res = "downarrow";
+        break;
+
+      case 'ellipsis':
+        res = "\\ldots ";
+        break;
+
+      case '/':
+        res = "/";
+        break;
+
+      case ' / ':
+        res = "\\,/\\,";
+        break;
+
+      default:
+        assertNever(buf);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+      // Missing texify rule or unknown MhchemParser output
+    }
+
+    assertString(res);
+    return res;
+  },
+  _getArrow: function _getArrow(a) {
+    switch (a) {
+      case "->":
+        return "rightarrow";
+
+      case "\u2192":
+        return "rightarrow";
+
+      case "\u27F6":
+        return "rightarrow";
+
+      case "<-":
+        return "leftarrow";
+
+      case "<->":
+        return "leftrightarrow";
+
+      case "<-->":
+        return "rightleftarrows";
+
+      case "<=>":
+        return "rightleftharpoons";
+
+      case "\u21CC":
+        return "rightleftharpoons";
+
+      case "<=>>":
+        return "rightequilibrium";
+
+      case "<<=>":
+        return "leftequilibrium";
+
+      default:
+        assertNever(a);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getBond: function _getBond(a) {
+    switch (a) {
+      case "-":
+        return "{-}";
+
+      case "1":
+        return "{-}";
+
+      case "=":
+        return "{=}";
+
+      case "2":
+        return "{=}";
+
+      case "#":
+        return "{\\equiv}";
+
+      case "3":
+        return "{\\equiv}";
+
+      case "~":
+        return "{\\tripledash}";
+
+      case "~-":
+        return "{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";
+
+      case "~=":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "~--":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "-~-":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";
+
+      case "...":
+        return "{{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "....":
+        return "{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "->":
+        return "{\\rightarrow}";
+
+      case "<-":
+        return "{\\leftarrow}";
+
+      case "<":
+        return "{<}";
+
+      case ">":
+        return "{>}";
+
+      default:
+        assertNever(a);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getOperator: function _getOperator(a) {
+    switch (a) {
+      case "+":
+        return " {}+{} ";
+
+      case "-":
+        return " {}-{} ";
+
+      case "=":
+        return " {}={} ";
+
+      case "<":
+        return " {}<{} ";
+
+      case ">":
+        return " {}>{} ";
+
+      case "<<":
+        return " {}\\ll{} ";
+
+      case ">>":
+        return " {}\\gg{} ";
+
+      case "\\pm":
+        return " {}\\pm{} ";
+
+      case "\\approx":
+        return " {}\\approx{} ";
+
+      case "$\\approx$":
+        return " {}\\approx{} ";
+
+      case "v":
+        return " \\downarrow{} ";
+
+      case "(v)":
+        return " \\downarrow{} ";
+
+      case "^":
+        return " \\uparrow{} ";
+
+      case "(^)":
+        return " \\uparrow{} ";
+
+      default:
+        assertNever(a);
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  }
+}; //
+// Helpers for code anaylsis
+// Will show type error at calling position
+//
+
+/** @param {number} a */
+
+function assertNever(a) {}
+/** @param {string} a */
+
+
+function assertString(a) {}
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/mhchem.min.js b/docs/static/katex/v0.12.0/contrib/mhchem.min.js
new file mode 100644
index 000000000..432a76af0
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/mhchem.min.js
@@ -0,0 +1 @@
+!function(t,e){if("object"==typeof exports&&"object"==typeof module)module.exports=e(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],e);else{var n="object"==typeof exports?e(require("katex")):e(t.katex);for(var o in n)("object"==typeof exports?exports:t)[o]=n[o]}}("undefined"!=typeof self?self:this,function(t){return function(t){var e={};function n(o){if(e[o])return e[o].exports;var a=e[o]={i:o,l:!1,exports:{}};return t[o].call(a.exports,a,a.exports,n),a.l=!0,a.exports}return n.m=t,n.c=e,n.d=function(t,e,o){n.o(t,e)||Object.defineProperty(t,e,{enumerable:!0,get:o})},n.r=function(t){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(t,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(t,"__esModule",{value:!0})},n.t=function(t,e){if(1&e&&(t=n(t)),8&e)return t;if(4&e&&"object"==typeof t&&t&&t.__esModule)return t;var o=Object.create(null);if(n.r(o),Object.defineProperty(o,"default",{enumerable:!0,value:t}),2&e&&"string"!=typeof t)for(var a in t)n.d(o,a,function(e){return t[e]}.bind(null,a));return o},n.n=function(t){var e=t&&t.__esModule?function(){return t.default}:function(){return t};return n.d(e,"a",e),e},n.o=function(t,e){return Object.prototype.hasOwnProperty.call(t,e)},n.p="",n(n.s=1)}([function(e,n){e.exports=t},function(t,e,n){"use strict";n.r(e);var o=n(0),a=n.n(o);a.a.__defineMacro("\\ce",function(t){return r(t.consumeArgs(1)[0],"ce")}),a.a.__defineMacro("\\pu",function(t){return r(t.consumeArgs(1)[0],"pu")}),a.a.__defineMacro("\\tripledash","{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}");var r=function(t,e){for(var n="",o=t[t.length-1].loc.start,a=t.length-1;a>=0;a--)t[a].loc.start>o&&(n+=" ",o=t[a].loc.start),n+=t[a].text,o+=t[a].text.length;return c.go(i.go(n,e))},i={go:function(t,e){if(!t)return[];void 0===e&&(e="ce");var n,o="0",a={};a.parenthesisLevel=0,t=(t=(t=t.replace(/\n/g," ")).replace(/[\u2212\u2013\u2014\u2010]/g,"-")).replace(/[\u2026]/g,"...");for(var r=10,c=[];;){n!==t?(r=10,n=t):r--;var u=i.stateMachines[e],p=u.transitions[o]||u.transitions["*"];t:for(var s=0;s<p.length;s++){var _=i.patterns.match_(p[s].pattern,t);if(_){for(var d=p[s].task,m=0;m<d.action_.length;m++){var l;if(u.actions[d.action_[m].type_])l=u.actions[d.action_[m].type_](a,_.match_,d.action_[m].option);else{if(!i.actions[d.action_[m].type_])throw["MhchemBugA","mhchem bug A. 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"):e[0]&&n.push(e[0]),e[1]&&(i.concatArray(n,i.go(e[1],"pu-9,9")),e[2]&&(e[2].match(/[,.]/)?i.concatArray(n,i.go(e[2],"pu-9,9")):n.push(e[2])),e[3]=e[4]||e[3],e[3]&&(e[3]=e[3].trim(),"e"===e[3]||"*"===e[3].substr(0,1)?n.push({type_:"cdot"}):n.push({type_:"times"}))),e[3]&&n.push("10^{"+e[5]+"}"),n},"number^":function(t,e){var n=[];return"+-"===e[0]||"+/-"===e[0]?n.push("\\pm "):e[0]&&n.push(e[0]),i.concatArray(n,i.go(e[1],"pu-9,9")),n.push("^{"+e[2]+"}"),n},operator:function(t,e,n){return{type_:"operator",kind_:n||e}},space:function(){return{type_:"pu-space-1"}},output:function(t){var e,n=i.patterns.match_("{(...)}",t.d||"");n&&""===n.remainder&&(t.d=n.match_);var o=i.patterns.match_("{(...)}",t.q||"");if(o&&""===o.remainder&&(t.q=o.match_),t.d&&(t.d=t.d.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),t.d=t.d.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F")),t.q){t.q=t.q.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),t.q=t.q.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F");var a={d:i.go(t.d,"pu"),q:i.go(t.q,"pu")};"//"===t.o?e={type_:"pu-frac",p1:a.d,p2:a.q}:(e=a.d,a.d.length>1||a.q.length>1?e.push({type_:" / "}):e.push({type_:"/"}),i.concatArray(e,a.q))}else e=i.go(t.d,"pu-2");for(var r in t)delete t[r];return e}}},"pu-2":{transitions:i.createTransitions({empty:{"*":{action_:"output"}},"*":{"*":{action_:["output","cdot"],nextState:"0"}},"\\x":{"*":{action_:"rm="}},space:{"*":{action_:["output","space"],nextState:"0"}},"^{(...)}|^(-1)":{1:{action_:"^(-1)"}},"-9.,9":{0:{action_:"rm=",nextState:"0"},1:{action_:"^(-1)",nextState:"0"}},"{...}|else":{"*":{action_:"rm=",nextState:"1"}}}),actions:{cdot:function(){return{type_:"tight cdot"}},"^(-1)":function(t,e){t.rm+="^{"+e+"}"},space:function(){return{type_:"pu-space-2"}},output:function(t){var e=[];if(t.rm){var n=i.patterns.match_("{(...)}",t.rm||"");e=n&&""===n.remainder?i.go(n.match_,"pu"):{type_:"rm",p1:t.rm}}for(var o in t)delete t[o];return e}}},"pu-9,9":{transitions:i.createTransitions({empty:{0:{action_:"output-0"},o:{action_:"output-o"}},",":{0:{action_:["output-0","comma"],nextState:"o"}},".":{0:{action_:["output-0","copy"],nextState:"o"}},else:{"*":{action_:"text="}}}),actions:{comma:function(){return{type_:"commaDecimal"}},"output-0":function(t){var e=[];if(t.text_=t.text_||"",t.text_.length>4){var n=t.text_.length%3;0===n&&(n=3);for(var o=t.text_.length-3;o>0;o-=3)e.push(t.text_.substr(o,3)),e.push({type_:"1000 separator"});e.push(t.text_.substr(0,n)),e.reverse()}else e.push(t.text_);for(var a in t)delete t[a];return e},"output-o":function(t){var e=[];if(t.text_=t.text_||"",t.text_.length>4){for(var n=t.text_.length-3,o=0;o<n;o+=3)e.push(t.text_.substr(o,3)),e.push({type_:"1000 separator"});e.push(t.text_.substr(o))}else e.push(t.text_);for(var a in t)delete t[a];return e}}}};var c={go:function(t,e){if(!t)return"";for(var n="",o=!1,a=0;a<t.length;a++){var r=t[a];"string"==typeof r?n+=r:(n+=c._go2(r),"1st-level escape"===r.type_&&(o=!0))}return e||o||!n||(n="{"+n+"}"),n},_goInner:function(t){return t?c.go(t,!0):t},_go2:function(t){var e;switch(t.type_){case"chemfive":e="";var n={a:c._goInner(t.a),b:c._goInner(t.b),p:c._goInner(t.p),o:c._goInner(t.o),q:c._goInner(t.q),d:c._goInner(t.d)};n.a&&(n.a.match(/^[+\-]/)&&(n.a="{"+n.a+"}"),e+=n.a+"\\,"),(n.b||n.p)&&(e+="{\\vphantom{X}}",e+="^{\\hphantom{"+(n.b||"")+"}}_{\\hphantom{"+(n.p||"")+"}}",e+="{\\vphantom{X}}",e+="^{\\smash[t]{\\vphantom{2}}\\mathllap{"+(n.b||"")+"}}",e+="_{\\vphantom{2}\\mathllap{\\smash[t]{"+(n.p||"")+"}}}"),n.o&&(n.o.match(/^[+\-]/)&&(n.o="{"+n.o+"}"),e+=n.o),"kv"===t.dType?((n.d||n.q)&&(e+="{\\vphantom{X}}"),n.d&&(e+="^{"+n.d+"}"),n.q&&(e+="_{\\smash[t]{"+n.q+"}}")):"oxidation"===t.dType?(n.d&&(e+="{\\vphantom{X}}",e+="^{"+n.d+"}"),n.q&&(e+="{\\vphantom{X}}",e+="_{\\smash[t]{"+n.q+"}}")):(n.q&&(e+="{\\vphantom{X}}",e+="_{\\smash[t]{"+n.q+"}}"),n.d&&(e+="{\\vphantom{X}}",e+="^{"+n.d+"}"));break;case"rm":e="\\mathrm{"+t.p1+"}";break;case"text":t.p1.match(/[\^_]/)?(t.p1=t.p1.replace(" ","~").replace("-","\\text{-}"),e="\\mathrm{"+t.p1+"}"):e="\\text{"+t.p1+"}";break;case"roman numeral":e="\\mathrm{"+t.p1+"}";break;case"state of aggregation":e="\\mskip2mu "+c._goInner(t.p1);break;case"state of aggregation subscript":e="\\mskip1mu "+c._goInner(t.p1);break;case"bond":if(!(e=c._getBond(t.kind_)))throw["MhchemErrorBond","mhchem Error. Unknown bond type ("+t.kind_+")"];break;case"frac":var o="\\frac{"+t.p1+"}{"+t.p2+"}";e="\\mathchoice{\\textstyle"+o+"}{"+o+"}{"+o+"}{"+o+"}";break;case"pu-frac":var a="\\frac{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";e="\\mathchoice{\\textstyle"+a+"}{"+a+"}{"+a+"}{"+a+"}";break;case"tex-math":e=t.p1+" ";break;case"frac-ce":e="\\frac{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";break;case"overset":e="\\overset{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";break;case"underset":e="\\underset{"+c._goInner(t.p1)+"}{"+c._goInner(t.p2)+"}";break;case"underbrace":e="\\underbrace{"+c._goInner(t.p1)+"}_{"+c._goInner(t.p2)+"}";break;case"color":e="{\\color{"+t.color1+"}{"+c._goInner(t.color2)+"}}";break;case"color0":e="\\color{"+t.color+"}";break;case"arrow":var r={rd:c._goInner(t.rd),rq:c._goInner(t.rq)},i="\\x"+c._getArrow(t.r);r.rq&&(i+="[{"+r.rq+"}]"),e=i+=r.rd?"{"+r.rd+"}":"{}";break;case"operator":e=c._getOperator(t.kind_);break;case"1st-level escape":e=t.p1+" ";break;case"space":e=" ";break;case"entitySkip":case"pu-space-1":e="~";break;case"pu-space-2":e="\\mkern3mu ";break;case"1000 separator":e="\\mkern2mu ";break;case"commaDecimal":e="{,}";break;case"comma enumeration L":e="{"+t.p1+"}\\mkern6mu ";break;case"comma enumeration M":e="{"+t.p1+"}\\mkern3mu ";break;case"comma enumeration S":e="{"+t.p1+"}\\mkern1mu ";break;case"hyphen":e="\\text{-}";break;case"addition compound":e="\\,{\\cdot}\\,";break;case"electron dot":e="\\mkern1mu \\bullet\\mkern1mu ";break;case"KV x":e="{\\times}";break;case"prime":e="\\prime ";break;case"cdot":e="\\cdot ";break;case"tight cdot":e="\\mkern1mu{\\cdot}\\mkern1mu ";break;case"times":e="\\times ";break;case"circa":e="{\\sim}";break;case"^":e="uparrow";break;case"v":e="downarrow";break;case"ellipsis":e="\\ldots ";break;case"/":e="/";break;case" / ":e="\\,/\\,";break;default:throw["MhchemBugT","mhchem bug T. Please report."]}return e},_getArrow:function(t){switch(t){case"->":case"\u2192":case"\u27f6":return"rightarrow";case"<-":return"leftarrow";case"<->":return"leftrightarrow";case"<--\x3e":return"rightleftarrows";case"<=>":case"\u21cc":return"rightleftharpoons";case"<=>>":return"rightequilibrium";case"<<=>":return"leftequilibrium";default:throw["MhchemBugT","mhchem bug T. Please report."]}},_getBond:function(t){switch(t){case"-":case"1":return"{-}";case"=":case"2":return"{=}";case"#":case"3":return"{\\equiv}";case"~":return"{\\tripledash}";case"~-":return"{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";case"~=":case"~--":return"{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";case"-~-":return"{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";case"...":return"{{\\cdot}{\\cdot}{\\cdot}}";case"....":return"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";case"->":return"{\\rightarrow}";case"<-":return"{\\leftarrow}";case"<":return"{<}";case">":return"{>}";default:throw["MhchemBugT","mhchem bug T. Please report."]}},_getOperator:function(t){switch(t){case"+":return" {}+{} ";case"-":return" {}-{} ";case"=":return" {}={} ";case"<":return" {}<{} ";case">":return" {}>{} ";case"<<":return" {}\\ll{} ";case">>":return" {}\\gg{} ";case"\\pm":return" {}\\pm{} ";case"\\approx":case"$\\approx$":return" {}\\approx{} ";case"v":case"(v)":return" \\downarrow{} ";case"^":case"(^)":return" \\uparrow{} ";default:throw["MhchemBugT","mhchem bug T. Please report."]}}}}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/mhchem.mjs b/docs/static/katex/v0.12.0/contrib/mhchem.mjs
new file mode 100644
index 000000000..46241b5f7
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/mhchem.mjs
@@ -0,0 +1,3109 @@
+import katex from '../katex.mjs';
+
+/* eslint-disable */
+
+/* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
+
+/* vim: set ts=2 et sw=2 tw=80: */
+
+/*************************************************************
+ *
+ *  KaTeX mhchem.js
+ *
+ *  This file implements a KaTeX version of mhchem version 3.3.0.
+ *  It is adapted from MathJax/extensions/TeX/mhchem.js
+ *  It differs from the MathJax version as follows:
+ *    1. The interface is changed so that it can be called from KaTeX, not MathJax.
+ *    2. \rlap and \llap are replaced with \mathrlap and \mathllap.
+ *    3. Four lines of code are edited in order to use \raisebox instead of \raise.
+ *    4. The reaction arrow code is simplified. All reaction arrows are rendered
+ *       using KaTeX extensible arrows instead of building non-extensible arrows.
+ *    5. \tripledash vertical alignment is slightly adjusted.
+ *
+ *    This code, as other KaTeX code, is released under the MIT license.
+ * 
+ * /*************************************************************
+ *
+ *  MathJax/extensions/TeX/mhchem.js
+ *
+ *  Implements the \ce command for handling chemical formulas
+ *  from the mhchem LaTeX package.
+ *
+ *  ---------------------------------------------------------------------
+ *
+ *  Copyright (c) 2011-2015 The MathJax Consortium
+ *  Copyright (c) 2015-2018 Martin Hensel
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+//
+// Coding Style
+//   - use '' for identifiers that can by minified/uglified
+//   - use "" for strings that need to stay untouched
+// version: "3.3.0" for MathJax and KaTeX
+// Add \ce, \pu, and \tripledash to the KaTeX macros.
+katex.__defineMacro("\\ce", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "ce");
+});
+
+katex.__defineMacro("\\pu", function (context) {
+  return chemParse(context.consumeArgs(1)[0], "pu");
+}); //  Needed for \bond for the ~ forms
+//  Raise by 2.56mu, not 2mu. We're raising a hyphen-minus, U+002D, not 
+//  a mathematical minus, U+2212. So we need that extra 0.56.
+
+
+katex.__defineMacro("\\tripledash", "{\\vphantom{-}\\raisebox{2.56mu}{$\\mkern2mu" + "\\tiny\\text{-}\\mkern1mu\\text{-}\\mkern1mu\\text{-}\\mkern2mu$}}");
+//  This is the main function for handing the \ce and \pu commands.
+//  It takes the argument to \ce or \pu and returns the corresponding TeX string.
+//
+
+var chemParse = function chemParse(tokens, stateMachine) {
+  // Recreate the argument string from KaTeX's array of tokens.
+  var str = "";
+  var expectedLoc = tokens[tokens.length - 1].loc.start;
+
+  for (var i = tokens.length - 1; i >= 0; i--) {
+    if (tokens[i].loc.start > expectedLoc) {
+      // context.consumeArgs has eaten a space.
+      str += " ";
+      expectedLoc = tokens[i].loc.start;
+    }
+
+    str += tokens[i].text;
+    expectedLoc += tokens[i].text.length;
+  }
+
+  var tex = texify.go(mhchemParser.go(str, stateMachine));
+  return tex;
+}; //
+// Core parser for mhchem syntax  (recursive)
+//
+
+/** @type {MhchemParser} */
+
+
+var mhchemParser = {
+  //
+  // Parses mchem \ce syntax
+  //
+  // Call like
+  //   go("H2O");
+  //
+  go: function go(input, stateMachine) {
+    if (!input) {
+      return [];
+    }
+
+    if (stateMachine === undefined) {
+      stateMachine = 'ce';
+    }
+
+    var state = '0'; //
+    // String buffers for parsing:
+    //
+    // buffer.a == amount
+    // buffer.o == element
+    // buffer.b == left-side superscript
+    // buffer.p == left-side subscript
+    // buffer.q == right-side subscript
+    // buffer.d == right-side superscript
+    //
+    // buffer.r == arrow
+    // buffer.rdt == arrow, script above, type
+    // buffer.rd == arrow, script above, content
+    // buffer.rqt == arrow, script below, type
+    // buffer.rq == arrow, script below, content
+    //
+    // buffer.text_
+    // buffer.rm
+    // etc.
+    //
+    // buffer.parenthesisLevel == int, starting at 0
+    // buffer.sb == bool, space before
+    // buffer.beginsWithBond == bool
+    //
+    // These letters are also used as state names.
+    //
+    // Other states:
+    // 0 == begin of main part (arrow/operator unlikely)
+    // 1 == next entity
+    // 2 == next entity (arrow/operator unlikely)
+    // 3 == next atom
+    // c == macro
+    //
+
+    /** @type {Buffer} */
+
+    var buffer = {};
+    buffer['parenthesisLevel'] = 0;
+    input = input.replace(/\n/g, " ");
+    input = input.replace(/[\u2212\u2013\u2014\u2010]/g, "-");
+    input = input.replace(/[\u2026]/g, "..."); //
+    // Looks through mhchemParser.transitions, to execute a matching action
+    // (recursive)
+    //
+
+    var lastInput;
+    var watchdog = 10;
+    /** @type {ParserOutput[]} */
+
+    var output = [];
+
+    while (true) {
+      if (lastInput !== input) {
+        watchdog = 10;
+        lastInput = input;
+      } else {
+        watchdog--;
+      } //
+      // Find actions in transition table
+      //
+
+
+      var machine = mhchemParser.stateMachines[stateMachine];
+      var t = machine.transitions[state] || machine.transitions['*'];
+
+      iterateTransitions: for (var i = 0; i < t.length; i++) {
+        var matches = mhchemParser.patterns.match_(t[i].pattern, input);
+
+        if (matches) {
+          //
+          // Execute actions
+          //
+          var task = t[i].task;
+
+          for (var iA = 0; iA < task.action_.length; iA++) {
+            var o; //
+            // Find and execute action
+            //
+
+            if (machine.actions[task.action_[iA].type_]) {
+              o = machine.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else if (mhchemParser.actions[task.action_[iA].type_]) {
+              o = mhchemParser.actions[task.action_[iA].type_](buffer, matches.match_, task.action_[iA].option);
+            } else {
+              throw ["MhchemBugA", "mhchem bug A. Please report. (" + task.action_[iA].type_ + ")"]; // Trying to use non-existing action
+            } //
+            // Add output
+            //
+
+
+            mhchemParser.concatArray(output, o);
+          } //
+          // Set next state,
+          // Shorten input,
+          // Continue with next character
+          //   (= apply only one transition per position)
+          //
+
+
+          state = task.nextState || state;
+
+          if (input.length > 0) {
+            if (!task.revisit) {
+              input = matches.remainder;
+            }
+
+            if (!task.toContinue) {
+              break iterateTransitions;
+            }
+          } else {
+            return output;
+          }
+        }
+      } //
+      // Prevent infinite loop
+      //
+
+
+      if (watchdog <= 0) {
+        throw ["MhchemBugU", "mhchem bug U. Please report."]; // Unexpected character
+      }
+    }
+  },
+  concatArray: function concatArray(a, b) {
+    if (b) {
+      if (Array.isArray(b)) {
+        for (var iB = 0; iB < b.length; iB++) {
+          a.push(b[iB]);
+        }
+      } else {
+        a.push(b);
+      }
+    }
+  },
+  patterns: {
+    //
+    // Matching patterns
+    // either regexps or function that return null or {match_:"a", remainder:"bc"}
+    //
+    patterns: {
+      // property names must not look like integers ("2") for correct property traversal order, later on
+      'empty': /^$/,
+      'else': /^./,
+      'else2': /^./,
+      'space': /^\s/,
+      'space A': /^\s(?=[A-Z\\$])/,
+      'space$': /^\s$/,
+      'a-z': /^[a-z]/,
+      'x': /^x/,
+      'x$': /^x$/,
+      'i$': /^i$/,
+      'letters': /^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,
+      '\\greek': /^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,
+      'one lowercase latin letter $': /^(?:([a-z])(?:$|[^a-zA-Z]))$/,
+      '$one lowercase latin letter$ $': /^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,
+      'one lowercase greek letter $': /^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,
+      'digits': /^[0-9]+/,
+      '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,
+      '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
+      '(-)(9.,9)(e)(99)': function e99(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '(-)(9)^(-9)': function _(input) {
+        var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);
+
+        if (m && m[0]) {
+          return {
+            match_: m.splice(1),
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      'state of aggregation $': function stateOfAggregation$(input) {
+        // ... or crystal system
+        var a = mhchemParser.patterns.findObserveGroups(input, "", /^\([a-z]{1,3}(?=[\),])/, ")", ""); // (aq), (aq,$\infty$), (aq, sat)
+
+        if (a && a.remainder.match(/^($|[\s,;\)\]\}])/)) {
+          return a;
+        } //  AND end of 'phrase'
+
+
+        var m = input.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/); // OR crystal system ($o$) (\ca$c$)
+
+        if (m) {
+          return {
+            match_: m[0],
+            remainder: input.substr(m[0].length)
+          };
+        }
+
+        return null;
+      },
+      '_{(state of aggregation)}$': /^_\{(\([a-z]{1,3}\))\}/,
+      '{[(': /^(?:\\\{|\[|\()/,
+      ')]}': /^(?:\)|\]|\\\})/,
+      ', ': /^[,;]\s*/,
+      ',': /^[,;]/,
+      '.': /^[.]/,
+      '. ': /^([.\u22C5\u00B7\u2022])\s*/,
+      '...': /^\.\.\.(?=$|[^.])/,
+      '* ': /^([*])\s*/,
+      '^{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^{", "", "", "}");
+      },
+      '^($...$)': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", "$", "$", "");
+      },
+      '^a': /^\^([0-9]+|[^\\_])/,
+      '^\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '^\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "^", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '^\\x': /^\^(\\[a-zA-Z]+)\s*/,
+      '^(-1)': /^\^(-?\d+)/,
+      '\'': /^'/,
+      '_{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_{", "", "", "}");
+      },
+      '_($...$)': function _$$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", "$", "$", "");
+      },
+      '_9': /^_([+\-]?[0-9]+|[^\\])/,
+      '_\\x{}{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '_\\x{}': function _X(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "_", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '_\\x': /^_(\\[a-zA-Z]+)\s*/,
+      '^_': /^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,
+      '{}': /^\{\}/,
+      '{...}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "{", "}", "");
+      },
+      '{(...)}': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "{", "", "", "}");
+      },
+      '$...$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+      },
+      '${(...)}$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "${", "", "", "}$");
+      },
+      '$(...)$': function $$(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "$", "", "", "$");
+      },
+      '=<>': /^[=<>]/,
+      '#': /^[#\u2261]/,
+      '+': /^\+/,
+      '-$': /^-(?=[\s_},;\]/]|$|\([a-z]+\))/,
+      // -space -, -; -] -/ -$ -state-of-aggregation
+      '-9': /^-(?=[0-9])/,
+      '- orbital overlap': /^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,
+      '-': /^-/,
+      'pm-operator': /^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,
+      'operator': /^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,
+      'arrowUpDown': /^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,
+      '\\bond{(...)}': function bond(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\bond{", "", "", "}");
+      },
+      '->': /^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,
+      'CMT': /^[CMT](?=\[)/,
+      '[(...)]': function _(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "[", "", "", "]");
+      },
+      '1st-level escape': /^(&|\\\\|\\hline)\s*/,
+      '\\,': /^(?:\\[,\ ;:])/,
+      // \\x - but output no space before
+      '\\x{}{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "", "", "{", "}", "", true);
+      },
+      '\\x{}': function x(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "", /^\\[a-zA-Z]+\{/, "}", "");
+      },
+      '\\ca': /^\\ca(?:\s+|(?![a-zA-Z]))/,
+      '\\x': /^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,
+      'orbital': /^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,
+      // only those with numbers in front, because the others will be formatted correctly anyway
+      'others': /^[\/~|]/,
+      '\\frac{(...)}': function frac(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\frac{", "", "", "}", "{", "", "", "}");
+      },
+      '\\overset{(...)}': function overset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\overset{", "", "", "}", "{", "", "", "}");
+      },
+      '\\underset{(...)}': function underset(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underset{", "", "", "}", "{", "", "", "}");
+      },
+      '\\underbrace{(...)}': function underbrace(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\underbrace{", "", "", "}_", "{", "", "", "}");
+      },
+      '\\color{(...)}0': function color0(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}");
+      },
+      '\\color{(...)}{(...)}1': function color1(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color{", "", "", "}", "{", "", "", "}");
+      },
+      '\\color(...){(...)}2': function color2(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\color", "\\", "", /^(?=\{)/, "{", "", "", "}");
+      },
+      '\\ce{(...)}': function ce(input) {
+        return mhchemParser.patterns.findObserveGroups(input, "\\ce{", "", "", "}");
+      },
+      'oxidation$': /^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      'd-oxidation$': /^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,
+      // 0 could be oxidation or charge
+      'roman numeral': /^[IVX]+/,
+      '1/2$': /^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,
+      'amount': function amount(input) {
+        var match; // e.g. 2, 0.5, 1/2, -2, n/2, +;  $a$ could be added later in parsing
+
+        match = input.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        var a = mhchemParser.patterns.findObserveGroups(input, "", "$", "$", "");
+
+        if (a) {
+          // e.g. $2n-1$, $-$
+          match = a.match_.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/);
+
+          if (match) {
+            return {
+              match_: match[0],
+              remainder: input.substr(match[0].length)
+            };
+          }
+        }
+
+        return null;
+      },
+      'amount2': function amount2(input) {
+        return this['amount'](input);
+      },
+      '(KV letters),': /^(?:[A-Z][a-z]{0,2}|i)(?=,)/,
+      'formula$': function formula$(input) {
+        if (input.match(/^\([a-z]+\)$/)) {
+          return null;
+        } // state of aggregation = no formula
+
+
+        var match = input.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);
+
+        if (match) {
+          return {
+            match_: match[0],
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      },
+      'uprightEntities': /^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,
+      '/': /^\s*(\/)\s*/,
+      '//': /^\s*(\/\/)\s*/,
+      '*': /^\s*[*.]\s*/
+    },
+    findObserveGroups: function findObserveGroups(input, begExcl, begIncl, endIncl, endExcl, beg2Excl, beg2Incl, end2Incl, end2Excl, combine) {
+      /** @type {{(input: string, pattern: string | RegExp): string | string[] | null;}} */
+      var _match = function _match(input, pattern) {
+        if (typeof pattern === "string") {
+          if (input.indexOf(pattern) !== 0) {
+            return null;
+          }
+
+          return pattern;
+        } else {
+          var match = input.match(pattern);
+
+          if (!match) {
+            return null;
+          }
+
+          return match[0];
+        }
+      };
+      /** @type {{(input: string, i: number, endChars: string | RegExp): {endMatchBegin: number, endMatchEnd: number} | null;}} */
+
+
+      var _findObserveGroups = function _findObserveGroups(input, i, endChars) {
+        var braces = 0;
+
+        while (i < input.length) {
+          var a = input.charAt(i);
+
+          var match = _match(input.substr(i), endChars);
+
+          if (match !== null && braces === 0) {
+            return {
+              endMatchBegin: i,
+              endMatchEnd: i + match.length
+            };
+          } else if (a === "{") {
+            braces++;
+          } else if (a === "}") {
+            if (braces === 0) {
+              throw ["ExtraCloseMissingOpen", "Extra close brace or missing open brace"];
+            } else {
+              braces--;
+            }
+          }
+
+          i++;
+        }
+
+        if (braces > 0) {
+          return null;
+        }
+
+        return null;
+      };
+
+      var match = _match(input, begExcl);
+
+      if (match === null) {
+        return null;
+      }
+
+      input = input.substr(match.length);
+      match = _match(input, begIncl);
+
+      if (match === null) {
+        return null;
+      }
+
+      var e = _findObserveGroups(input, match.length, endIncl || endExcl);
+
+      if (e === null) {
+        return null;
+      }
+
+      var match1 = input.substring(0, endIncl ? e.endMatchEnd : e.endMatchBegin);
+
+      if (!(beg2Excl || beg2Incl)) {
+        return {
+          match_: match1,
+          remainder: input.substr(e.endMatchEnd)
+        };
+      } else {
+        var group2 = this.findObserveGroups(input.substr(e.endMatchEnd), beg2Excl, beg2Incl, end2Incl, end2Excl);
+
+        if (group2 === null) {
+          return null;
+        }
+        /** @type {string[]} */
+
+
+        var matchRet = [match1, group2.match_];
+        return {
+          match_: combine ? matchRet.join("") : matchRet,
+          remainder: group2.remainder
+        };
+      }
+    },
+    //
+    // Matching function
+    // e.g. match("a", input) will look for the regexp called "a" and see if it matches
+    // returns null or {match_:"a", remainder:"bc"}
+    //
+    match_: function match_(m, input) {
+      var pattern = mhchemParser.patterns.patterns[m];
+
+      if (pattern === undefined) {
+        throw ["MhchemBugP", "mhchem bug P. Please report. (" + m + ")"]; // Trying to use non-existing pattern
+      } else if (typeof pattern === "function") {
+        return mhchemParser.patterns.patterns[m](input); // cannot use cached var pattern here, because some pattern functions need this===mhchemParser
+      } else {
+        // RegExp
+        var match = input.match(pattern);
+
+        if (match) {
+          var mm;
+
+          if (match[2]) {
+            mm = [match[1], match[2]];
+          } else if (match[1]) {
+            mm = match[1];
+          } else {
+            mm = match[0];
+          }
+
+          return {
+            match_: mm,
+            remainder: input.substr(match[0].length)
+          };
+        }
+
+        return null;
+      }
+    }
+  },
+  //
+  // Generic state machine actions
+  //
+  actions: {
+    'a=': function a(buffer, m) {
+      buffer.a = (buffer.a || "") + m;
+    },
+    'b=': function b(buffer, m) {
+      buffer.b = (buffer.b || "") + m;
+    },
+    'p=': function p(buffer, m) {
+      buffer.p = (buffer.p || "") + m;
+    },
+    'o=': function o(buffer, m) {
+      buffer.o = (buffer.o || "") + m;
+    },
+    'q=': function q(buffer, m) {
+      buffer.q = (buffer.q || "") + m;
+    },
+    'd=': function d(buffer, m) {
+      buffer.d = (buffer.d || "") + m;
+    },
+    'rm=': function rm(buffer, m) {
+      buffer.rm = (buffer.rm || "") + m;
+    },
+    'text=': function text(buffer, m) {
+      buffer.text_ = (buffer.text_ || "") + m;
+    },
+    'insert': function insert(buffer, m, a) {
+      return {
+        type_: a
+      };
+    },
+    'insert+p1': function insertP1(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m
+      };
+    },
+    'insert+p1+p2': function insertP1P2(buffer, m, a) {
+      return {
+        type_: a,
+        p1: m[0],
+        p2: m[1]
+      };
+    },
+    'copy': function copy(buffer, m) {
+      return m;
+    },
+    'rm': function rm(buffer, m) {
+      return {
+        type_: 'rm',
+        p1: m || ""
+      };
+    },
+    'text': function text(buffer, m) {
+      return mhchemParser.go(m, 'text');
+    },
+    '{text}': function text(buffer, m) {
+      var ret = ["{"];
+      mhchemParser.concatArray(ret, mhchemParser.go(m, 'text'));
+      ret.push("}");
+      return ret;
+    },
+    'tex-math': function texMath(buffer, m) {
+      return mhchemParser.go(m, 'tex-math');
+    },
+    'tex-math tight': function texMathTight(buffer, m) {
+      return mhchemParser.go(m, 'tex-math tight');
+    },
+    'bond': function bond(buffer, m, k) {
+      return {
+        type_: 'bond',
+        kind_: k || m
+      };
+    },
+    'color0-output': function color0Output(buffer, m) {
+      return {
+        type_: 'color0',
+        color: m[0]
+      };
+    },
+    'ce': function ce(buffer, m) {
+      return mhchemParser.go(m);
+    },
+    '1/2': function _(buffer, m) {
+      /** @type {ParserOutput[]} */
+      var ret = [];
+
+      if (m.match(/^[+\-]/)) {
+        ret.push(m.substr(0, 1));
+        m = m.substr(1);
+      }
+
+      var n = m.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/);
+      n[1] = n[1].replace(/\$/g, "");
+      ret.push({
+        type_: 'frac',
+        p1: n[1],
+        p2: n[2]
+      });
+
+      if (n[3]) {
+        n[3] = n[3].replace(/\$/g, "");
+        ret.push({
+          type_: 'tex-math',
+          p1: n[3]
+        });
+      }
+
+      return ret;
+    },
+    '9,9': function _(buffer, m) {
+      return mhchemParser.go(m, '9,9');
+    }
+  },
+  //
+  // createTransitions
+  // convert  { 'letter': { 'state': { action_: 'output' } } }  to  { 'state' => [ { pattern: 'letter', task: { action_: [{type_: 'output'}] } } ] }
+  // with expansion of 'a|b' to 'a' and 'b' (at 2 places)
+  //
+  createTransitions: function createTransitions(o) {
+    var pattern, state;
+    /** @type {string[]} */
+
+    var stateArray;
+    var i; //
+    // 1. Collect all states
+    //
+
+    /** @type {Transitions} */
+
+    var transitions = {};
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = state.split("|");
+        o[pattern][state].stateArray = stateArray;
+
+        for (i = 0; i < stateArray.length; i++) {
+          transitions[stateArray[i]] = [];
+        }
+      }
+    } //
+    // 2. Fill states
+    //
+
+
+    for (pattern in o) {
+      for (state in o[pattern]) {
+        stateArray = o[pattern][state].stateArray || [];
+
+        for (i = 0; i < stateArray.length; i++) {
+          //
+          // 2a. Normalize actions into array:  'text=' ==> [{type_:'text='}]
+          // (Note to myself: Resolving the function here would be problematic. It would need .bind (for *this*) and currying (for *option*).)
+          //
+
+          /** @type {any} */
+          var p = o[pattern][state];
+
+          if (p.action_) {
+            p.action_ = [].concat(p.action_);
+
+            for (var k = 0; k < p.action_.length; k++) {
+              if (typeof p.action_[k] === "string") {
+                p.action_[k] = {
+                  type_: p.action_[k]
+                };
+              }
+            }
+          } else {
+            p.action_ = [];
+          } //
+          // 2.b Multi-insert
+          //
+
+
+          var patternArray = pattern.split("|");
+
+          for (var j = 0; j < patternArray.length; j++) {
+            if (stateArray[i] === '*') {
+              // insert into all
+              for (var t in transitions) {
+                transitions[t].push({
+                  pattern: patternArray[j],
+                  task: p
+                });
+              }
+            } else {
+              transitions[stateArray[i]].push({
+                pattern: patternArray[j],
+                task: p
+              });
+            }
+          }
+        }
+      }
+    }
+
+    return transitions;
+  },
+  stateMachines: {}
+}; //
+// Definition of state machines
+//
+
+mhchemParser.stateMachines = {
+  //
+  // \ce state machines
+  //
+  //#region ce
+  'ce': {
+    // main parser
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'else': {
+        '0|1|2': {
+          action_: 'beginsWithBond=false',
+          revisit: true,
+          toContinue: true
+        }
+      },
+      'oxidation$': {
+        '0': {
+          action_: 'oxidation-output'
+        }
+      },
+      'CMT': {
+        'r': {
+          action_: 'rdt=',
+          nextState: 'rt'
+        },
+        'rd': {
+          action_: 'rqt=',
+          nextState: 'rdt'
+        }
+      },
+      'arrowUpDown': {
+        '0|1|2|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '1'
+        }
+      },
+      'uprightEntities': {
+        '0|1|2': {
+          action_: ['o=', 'output'],
+          nextState: '1'
+        }
+      },
+      'orbital': {
+        '0|1|2|3': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      '->': {
+        '0|1|2|3': {
+          action_: 'r=',
+          nextState: 'r'
+        },
+        'a|as': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        },
+        '*': {
+          action_: ['output', 'r='],
+          nextState: 'r'
+        }
+      },
+      '+': {
+        'o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'd|D': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd|qD': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        },
+        '3': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      'amount': {
+        '0|2': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'pm-operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', {
+            type_: 'operator',
+            option: '\\pm'
+          }],
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|1|2|a|as': {
+          action_: ['sb=false', 'output', 'operator'],
+          nextState: '0'
+        }
+      },
+      '-$': {
+        'o|q': {
+          action_: ['charge or bond', 'output'],
+          nextState: 'qd'
+        },
+        'd': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'D': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qd': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'qD|dq': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      '-9': {
+        '3|o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '3'
+        }
+      },
+      '- orbital overlap': {
+        'o': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'd': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        }
+      },
+      '-': {
+        '0|1|2': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'beginsWithBond=true', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        '3': {
+          action_: {
+            type_: 'bond',
+            option: "-"
+          }
+        },
+        'a': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'hyphen'
+          }],
+          nextState: '2'
+        },
+        'as': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        },
+        'b': {
+          action_: 'b='
+        },
+        'o': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'q': {
+          action_: {
+            type_: '- after o/d',
+            option: false
+          },
+          nextState: '2'
+        },
+        'd|qd|dq': {
+          action_: {
+            type_: '- after o/d',
+            option: true
+          },
+          nextState: '2'
+        },
+        'D|qD|p': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "-"
+          }],
+          nextState: '3'
+        }
+      },
+      'amount2': {
+        '1|3': {
+          action_: 'a=',
+          nextState: 'a'
+        }
+      },
+      'letters': {
+        '0|1|2|3|a|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'q|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'd|D|qd|qD': {
+          action_: 'o after d',
+          nextState: 'o'
+        }
+      },
+      'digits': {
+        'o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        },
+        'a': {
+          action_: 'o=',
+          nextState: 'o'
+        }
+      },
+      'space A': {
+        'b|p|bp': {}
+      },
+      'space': {
+        'a': {
+          nextState: 'as'
+        },
+        '0': {
+          action_: 'sb=false'
+        },
+        '1|2': {
+          action_: 'sb=true'
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: 'output',
+          nextState: '0'
+        },
+        '*': {
+          action_: ['output', 'sb=true'],
+          nextState: '1'
+        }
+      },
+      '1st-level escape': {
+        '1|2': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }]
+        },
+        '*': {
+          action_: ['output', {
+            type_: 'insert+p1',
+            option: '1st-level escape'
+          }],
+          nextState: '0'
+        }
+      },
+      '[(...)]': {
+        'r|rt': {
+          action_: 'rd=',
+          nextState: 'rd'
+        },
+        'rd|rdt': {
+          action_: 'rq=',
+          nextState: 'rdq'
+        }
+      },
+      '...': {
+        'o|d|D|dq|qd|qD': {
+          action_: ['output', {
+            type_: 'bond',
+            option: "..."
+          }],
+          nextState: '3'
+        },
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, {
+            type_: 'insert',
+            option: 'ellipsis'
+          }],
+          nextState: '1'
+        }
+      },
+      '. |* ': {
+        '*': {
+          action_: ['output', {
+            type_: 'insert',
+            option: 'addition compound'
+          }],
+          nextState: '1'
+        }
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: ['output', 'state of aggregation'],
+          nextState: '1'
+        }
+      },
+      '{[(': {
+        'a|as|o': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '0|1|2|3': {
+          action_: ['o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output', 'parenthesisLevel++'],
+          nextState: '2'
+        }
+      },
+      ')]}': {
+        '0|1|2|3|b|p|bp|o': {
+          action_: ['o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        },
+        'a|as|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o=', 'parenthesisLevel--'],
+          nextState: 'o'
+        }
+      },
+      ', ': {
+        '*': {
+          action_: ['output', 'comma'],
+          nextState: '0'
+        }
+      },
+      '^_': {
+        // ^ and _ without a sensible argument
+        '*': {}
+      },
+      '^{(...)}|^($...$)': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'D'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qD'
+        },
+        'd|D|qd|qD|dq': {
+          action_: ['output', 'd='],
+          nextState: 'D'
+        }
+      },
+      '^a|^\\x{}{}|^\\x{}|^\\x|\'': {
+        '0|1|2|as': {
+          action_: 'b=',
+          nextState: 'b'
+        },
+        'p': {
+          action_: 'b=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'd= kv',
+          nextState: 'd'
+        },
+        'q': {
+          action_: 'd=',
+          nextState: 'qd'
+        },
+        'd|qd|D|qD': {
+          action_: 'd='
+        },
+        'dq': {
+          action_: ['output', 'd='],
+          nextState: 'd'
+        }
+      },
+      '_{(state of aggregation)}$': {
+        'd|D|q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '_{(...)}|_($...$)|_9|_\\x{}{}|_\\x{}|_\\x': {
+        '0|1|2|as': {
+          action_: 'p=',
+          nextState: 'p'
+        },
+        'b': {
+          action_: 'p=',
+          nextState: 'bp'
+        },
+        '3|o': {
+          action_: 'q=',
+          nextState: 'q'
+        },
+        'd|D': {
+          action_: 'q=',
+          nextState: 'dq'
+        },
+        'q|qd|qD|dq': {
+          action_: ['output', 'q='],
+          nextState: 'q'
+        }
+      },
+      '=<>': {
+        '0|1|2|3|a|as|o|q|d|D|qd|qD|dq': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: '3'
+        }
+      },
+      '#': {
+        '0|1|2|3|a|as|o': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, {
+            type_: 'bond',
+            option: "#"
+          }],
+          nextState: '3'
+        }
+      },
+      '{}': {
+        '*': {
+          action_: {
+            type_: 'output',
+            option: 1
+          },
+          nextState: '1'
+        }
+      },
+      '{...}': {
+        '0|1|2|3|a|as|b|p|bp': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        'o|d|D|q|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '$...$': {
+        'a': {
+          action_: 'a='
+        },
+        // 2$n$
+        '0|1|2|3|as|b|p|bp|o': {
+          action_: 'o=',
+          nextState: 'o'
+        },
+        // not 'amount'
+        'as|o': {
+          action_: 'o='
+        },
+        'q|d|D|qd|qD|dq': {
+          action_: ['output', 'o='],
+          nextState: 'o'
+        }
+      },
+      '\\bond{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'bond'],
+          nextState: "3"
+        }
+      },
+      '\\frac{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'frac-output'],
+          nextState: '3'
+        }
+      },
+      '\\overset{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'overset-output'],
+          nextState: '3'
+        }
+      },
+      '\\underset{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underset-output'],
+          nextState: '3'
+        }
+      },
+      '\\underbrace{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'underbrace-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color-output'],
+          nextState: '3'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'color0-output']
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 2
+          }, 'ce'],
+          nextState: '3'
+        }
+      },
+      '\\,': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '1'
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '0|1|2|3|a|as|b|p|bp|o|c0': {
+          action_: ['o=', 'output'],
+          nextState: '3'
+        },
+        '*': {
+          action_: ['output', 'o=', 'output'],
+          nextState: '3'
+        }
+      },
+      'others': {
+        '*': {
+          action_: [{
+            type_: 'output',
+            option: 1
+          }, 'copy'],
+          nextState: '3'
+        }
+      },
+      'else2': {
+        'a': {
+          action_: 'a to o',
+          nextState: 'o',
+          revisit: true
+        },
+        'as': {
+          action_: ['output', 'sb=true'],
+          nextState: '1',
+          revisit: true
+        },
+        'r|rt|rd|rdt|rdq': {
+          action_: ['output'],
+          nextState: '0',
+          revisit: true
+        },
+        '*': {
+          action_: ['output', 'copy'],
+          nextState: '3'
+        }
+      }
+    }),
+    actions: {
+      'o after d': function oAfterD(buffer, m) {
+        var ret;
+
+        if ((buffer.d || "").match(/^[0-9]+$/)) {
+          var tmp = buffer.d;
+          buffer.d = undefined;
+          ret = this['output'](buffer);
+          buffer.b = tmp;
+        } else {
+          ret = this['output'](buffer);
+        }
+
+        mhchemParser.actions['o='](buffer, m);
+        return ret;
+      },
+      'd= kv': function dKv(buffer, m) {
+        buffer.d = m;
+        buffer.dType = 'kv';
+      },
+      'charge or bond': function chargeOrBond(buffer, m) {
+        if (buffer['beginsWithBond']) {
+          /** @type {ParserOutput[]} */
+          var ret = [];
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          return ret;
+        } else {
+          buffer.d = m;
+        }
+      },
+      '- after o/d': function afterOD(buffer, m, isAfterD) {
+        var c1 = mhchemParser.patterns.match_('orbital', buffer.o || "");
+        var c2 = mhchemParser.patterns.match_('one lowercase greek letter $', buffer.o || "");
+        var c3 = mhchemParser.patterns.match_('one lowercase latin letter $', buffer.o || "");
+        var c4 = mhchemParser.patterns.match_('$one lowercase latin letter$ $', buffer.o || "");
+        var hyphenFollows = m === "-" && (c1 && c1.remainder === "" || c2 || c3 || c4);
+
+        if (hyphenFollows && !buffer.a && !buffer.b && !buffer.p && !buffer.d && !buffer.q && !c1 && c3) {
+          buffer.o = '$' + buffer.o + '$';
+        }
+        /** @type {ParserOutput[]} */
+
+
+        var ret = [];
+
+        if (hyphenFollows) {
+          mhchemParser.concatArray(ret, this['output'](buffer));
+          ret.push({
+            type_: 'hyphen'
+          });
+        } else {
+          c1 = mhchemParser.patterns.match_('digits', buffer.d || "");
+
+          if (isAfterD && c1 && c1.remainder === '') {
+            mhchemParser.concatArray(ret, mhchemParser.actions['d='](buffer, m));
+            mhchemParser.concatArray(ret, this['output'](buffer));
+          } else {
+            mhchemParser.concatArray(ret, this['output'](buffer));
+            mhchemParser.concatArray(ret, mhchemParser.actions['bond'](buffer, m, "-"));
+          }
+        }
+
+        return ret;
+      },
+      'a to o': function aToO(buffer) {
+        buffer.o = buffer.a;
+        buffer.a = undefined;
+      },
+      'sb=true': function sbTrue(buffer) {
+        buffer.sb = true;
+      },
+      'sb=false': function sbFalse(buffer) {
+        buffer.sb = false;
+      },
+      'beginsWithBond=true': function beginsWithBondTrue(buffer) {
+        buffer['beginsWithBond'] = true;
+      },
+      'beginsWithBond=false': function beginsWithBondFalse(buffer) {
+        buffer['beginsWithBond'] = false;
+      },
+      'parenthesisLevel++': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']++;
+      },
+      'parenthesisLevel--': function parenthesisLevel(buffer) {
+        buffer['parenthesisLevel']--;
+      },
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'comma': function comma(buffer, m) {
+        var a = m.replace(/\s*$/, '');
+        var withSpace = a !== m;
+
+        if (withSpace && buffer['parenthesisLevel'] === 0) {
+          return {
+            type_: 'comma enumeration L',
+            p1: a
+          };
+        } else {
+          return {
+            type_: 'comma enumeration M',
+            p1: a
+          };
+        }
+      },
+      'output': function output(buffer, m, entityFollows) {
+        // entityFollows:
+        //   undefined = if we have nothing else to output, also ignore the just read space (buffer.sb)
+        //   1 = an entity follows, never omit the space if there was one just read before (can only apply to state 1)
+        //   2 = 1 + the entity can have an amount, so output a\, instead of converting it to o (can only apply to states a|as)
+
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+
+        if (!buffer.r) {
+          ret = [];
+
+          if (!buffer.a && !buffer.b && !buffer.p && !buffer.o && !buffer.q && !buffer.d && !entityFollows) ; else {
+            if (buffer.sb) {
+              ret.push({
+                type_: 'entitySkip'
+              });
+            }
+
+            if (!buffer.o && !buffer.q && !buffer.d && !buffer.b && !buffer.p && entityFollows !== 2) {
+              buffer.o = buffer.a;
+              buffer.a = undefined;
+            } else if (!buffer.o && !buffer.q && !buffer.d && (buffer.b || buffer.p)) {
+              buffer.o = buffer.a;
+              buffer.d = buffer.b;
+              buffer.q = buffer.p;
+              buffer.a = buffer.b = buffer.p = undefined;
+            } else {
+              if (buffer.o && buffer.dType === 'kv' && mhchemParser.patterns.match_('d-oxidation$', buffer.d || "")) {
+                buffer.dType = 'oxidation';
+              } else if (buffer.o && buffer.dType === 'kv' && !buffer.q) {
+                buffer.dType = undefined;
+              }
+            }
+
+            ret.push({
+              type_: 'chemfive',
+              a: mhchemParser.go(buffer.a, 'a'),
+              b: mhchemParser.go(buffer.b, 'bd'),
+              p: mhchemParser.go(buffer.p, 'pq'),
+              o: mhchemParser.go(buffer.o, 'o'),
+              q: mhchemParser.go(buffer.q, 'pq'),
+              d: mhchemParser.go(buffer.d, buffer.dType === 'oxidation' ? 'oxidation' : 'bd'),
+              dType: buffer.dType
+            });
+          }
+        } else {
+          // r
+
+          /** @type {ParserOutput[]} */
+          var rd;
+
+          if (buffer.rdt === 'M') {
+            rd = mhchemParser.go(buffer.rd, 'tex-math');
+          } else if (buffer.rdt === 'T') {
+            rd = [{
+              type_: 'text',
+              p1: buffer.rd || ""
+            }];
+          } else {
+            rd = mhchemParser.go(buffer.rd);
+          }
+          /** @type {ParserOutput[]} */
+
+
+          var rq;
+
+          if (buffer.rqt === 'M') {
+            rq = mhchemParser.go(buffer.rq, 'tex-math');
+          } else if (buffer.rqt === 'T') {
+            rq = [{
+              type_: 'text',
+              p1: buffer.rq || ""
+            }];
+          } else {
+            rq = mhchemParser.go(buffer.rq);
+          }
+
+          ret = {
+            type_: 'arrow',
+            r: buffer.r,
+            rd: rd,
+            rq: rq
+          };
+        }
+
+        for (var p in buffer) {
+          if (p !== 'parenthesisLevel' && p !== 'beginsWithBond') {
+            delete buffer[p];
+          }
+        }
+
+        return ret;
+      },
+      'oxidation-output': function oxidationOutput(buffer, m) {
+        var ret = ["{"];
+        mhchemParser.concatArray(ret, mhchemParser.go(m, 'oxidation'));
+        ret.push("}");
+        return ret;
+      },
+      'frac-output': function fracOutput(buffer, m) {
+        return {
+          type_: 'frac-ce',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'overset-output': function oversetOutput(buffer, m) {
+        return {
+          type_: 'overset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underset-output': function undersetOutput(buffer, m) {
+        return {
+          type_: 'underset',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'underbrace-output': function underbraceOutput(buffer, m) {
+        return {
+          type_: 'underbrace',
+          p1: mhchemParser.go(m[0]),
+          p2: mhchemParser.go(m[1])
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1])
+        };
+      },
+      'r=': function r(buffer, m) {
+        buffer.r = m;
+      },
+      'rdt=': function rdt(buffer, m) {
+        buffer.rdt = m;
+      },
+      'rd=': function rd(buffer, m) {
+        buffer.rd = m;
+      },
+      'rqt=': function rqt(buffer, m) {
+        buffer.rqt = m;
+      },
+      'rq=': function rq(buffer, m) {
+        buffer.rq = m;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      }
+    }
+  },
+  'a': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      '$(...)$': {
+        '*': {
+          action_: 'tex-math tight',
+          nextState: '1'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'commaDecimal'
+          }
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'o': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '1',
+          revisit: true
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\\ca': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'circa'
+          }
+        }
+      },
+      '\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: '{text}'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {}
+  },
+  'text': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '{...}': {
+        '*': {
+          action_: 'text='
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '\\greek': {
+        '*': {
+          action_: ['output', 'rm']
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: ['output', 'copy']
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.text_) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'text',
+            p1: buffer.text_
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'pq': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'state of aggregation $': {
+        '*': {
+          action_: 'state of aggregation'
+        }
+      },
+      'i$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '(KV letters),': {
+        '0': {
+          action_: 'rm',
+          nextState: '0'
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      '1/2$': {
+        '0': {
+          action_: '1/2'
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '-9.,9': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      ',': {
+        '*': {
+          action_: {
+            type_: 'insert+p1',
+            option: 'comma enumeration S'
+          }
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'state of aggregation': function stateOfAggregation(buffer, m) {
+        return {
+          type_: 'state of aggregation subscript',
+          p1: mhchemParser.go(m, 'o')
+        };
+      },
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'pq')
+        };
+      }
+    }
+  },
+  'bd': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'x$': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      'formula$': {
+        '0': {
+          nextState: 'f',
+          revisit: true
+        }
+      },
+      'else': {
+        '0': {
+          nextState: '!f',
+          revisit: true
+        }
+      },
+      '-9.,9 no missing 0': {
+        '*': {
+          action_: '9,9'
+        }
+      },
+      '.': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'electron dot'
+          }
+        }
+      },
+      'a-z': {
+        'f': {
+          action_: 'tex-math'
+        }
+      },
+      'x': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'KV x'
+          }
+        }
+      },
+      'letters': {
+        '*': {
+          action_: 'rm'
+        }
+      },
+      '\'': {
+        '*': {
+          action_: {
+            type_: 'insert',
+            option: 'prime'
+          }
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      '{(...)}': {
+        '*': {
+          action_: 'text'
+        }
+      },
+      '\\color{(...)}{(...)}1|\\color(...){(...)}2': {
+        '*': {
+          action_: 'color-output'
+        }
+      },
+      '\\color{(...)}0': {
+        '*': {
+          action_: 'color0-output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: 'ce'
+        }
+      },
+      '\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'copy'
+        }
+      },
+      'else2': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'color-output': function colorOutput(buffer, m) {
+        return {
+          type_: 'color',
+          color1: m[0],
+          color2: mhchemParser.go(m[1], 'bd')
+        };
+      }
+    }
+  },
+  'oxidation': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      'roman numeral': {
+        '*': {
+          action_: 'roman-numeral'
+        }
+      },
+      '${(...)}$|$(...)$': {
+        '*': {
+          action_: 'tex-math'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'roman-numeral': function romanNumeral(buffer, m) {
+        return {
+          type_: 'roman numeral',
+          p1: m || ""
+        };
+      }
+    }
+  },
+  'tex-math': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  'tex-math tight': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '\\ce{(...)}': {
+        '*': {
+          action_: ['output', 'ce']
+        }
+      },
+      '{...}|\\,|\\x{}{}|\\x{}|\\x': {
+        '*': {
+          action_: 'o='
+        }
+      },
+      '-|+': {
+        '*': {
+          action_: 'tight operator'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'o='
+        }
+      }
+    }),
+    actions: {
+      'tight operator': function tightOperator(buffer, m) {
+        buffer.o = (buffer.o || "") + "{" + m + "}";
+      },
+      'output': function output(buffer) {
+        if (buffer.o) {
+          /** @type {ParserOutput} */
+          var ret = {
+            type_: 'tex-math',
+            p1: buffer.o
+          };
+
+          for (var p in buffer) {
+            delete buffer[p];
+          }
+
+          return ret;
+        }
+      }
+    }
+  },
+  '9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {}
+      },
+      ',': {
+        '*': {
+          action_: 'comma'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'copy'
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      }
+    }
+  },
+  //#endregion
+  //
+  // \pu state machines
+  //
+  //#region pu
+  'pu': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      'space$': {
+        '*': {
+          action_: ['output', 'space']
+        }
+      },
+      '{[(|)]}': {
+        '0|a': {
+          action_: 'copy'
+        }
+      },
+      '(-)(9)^(-9)': {
+        '0': {
+          action_: 'number^',
+          nextState: 'a'
+        }
+      },
+      '(-)(9.,9)(e)(99)': {
+        '0': {
+          action_: 'enumber',
+          nextState: 'a'
+        }
+      },
+      'space': {
+        '0|a': {}
+      },
+      'pm-operator': {
+        '0|a': {
+          action_: {
+            type_: 'operator',
+            option: '\\pm'
+          },
+          nextState: '0'
+        }
+      },
+      'operator': {
+        '0|a': {
+          action_: 'copy',
+          nextState: '0'
+        }
+      },
+      '//': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '/': {
+        'd': {
+          action_: 'o=',
+          nextState: '/'
+        }
+      },
+      '{...}|else': {
+        '0|d': {
+          action_: 'd=',
+          nextState: 'd'
+        },
+        'a': {
+          action_: ['space', 'd='],
+          nextState: 'd'
+        },
+        '/|q': {
+          action_: 'q=',
+          nextState: 'q'
+        }
+      }
+    }),
+    actions: {
+      'enumber': function enumber(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        if (m[1]) {
+          mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+
+          if (m[2]) {
+            if (m[2].match(/[,.]/)) {
+              mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9'));
+            } else {
+              ret.push(m[2]);
+            }
+          }
+
+          m[3] = m[4] || m[3];
+
+          if (m[3]) {
+            m[3] = m[3].trim();
+
+            if (m[3] === "e" || m[3].substr(0, 1) === "*") {
+              ret.push({
+                type_: 'cdot'
+              });
+            } else {
+              ret.push({
+                type_: 'times'
+              });
+            }
+          }
+        }
+
+        if (m[3]) {
+          ret.push("10^{" + m[5] + "}");
+        }
+
+        return ret;
+      },
+      'number^': function number(buffer, m) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+
+        if (m[0] === "+-" || m[0] === "+/-") {
+          ret.push("\\pm ");
+        } else if (m[0]) {
+          ret.push(m[0]);
+        }
+
+        mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
+        ret.push("^{" + m[2] + "}");
+        return ret;
+      },
+      'operator': function operator(buffer, m, p1) {
+        return {
+          type_: 'operator',
+          kind_: p1 || m
+        };
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-1'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret;
+        var md = mhchemParser.patterns.match_('{(...)}', buffer.d || "");
+
+        if (md && md.remainder === '') {
+          buffer.d = md.match_;
+        }
+
+        var mq = mhchemParser.patterns.match_('{(...)}', buffer.q || "");
+
+        if (mq && mq.remainder === '') {
+          buffer.q = mq.match_;
+        }
+
+        if (buffer.d) {
+          buffer.d = buffer.d.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.d = buffer.d.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+        }
+
+        if (buffer.q) {
+          // fraction
+          buffer.q = buffer.q.replace(/\u00B0C|\^oC|\^{o}C/g, "{}^{\\circ}C");
+          buffer.q = buffer.q.replace(/\u00B0F|\^oF|\^{o}F/g, "{}^{\\circ}F");
+          var b5 = {
+            d: mhchemParser.go(buffer.d, 'pu'),
+            q: mhchemParser.go(buffer.q, 'pu')
+          };
+
+          if (buffer.o === '//') {
+            ret = {
+              type_: 'pu-frac',
+              p1: b5.d,
+              p2: b5.q
+            };
+          } else {
+            ret = b5.d;
+
+            if (b5.d.length > 1 || b5.q.length > 1) {
+              ret.push({
+                type_: ' / '
+              });
+            } else {
+              ret.push({
+                type_: '/'
+              });
+            }
+
+            mhchemParser.concatArray(ret, b5.q);
+          }
+        } else {
+          // no fraction
+          ret = mhchemParser.go(buffer.d, 'pu-2');
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-2': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '*': {
+          action_: 'output'
+        }
+      },
+      '*': {
+        '*': {
+          action_: ['output', 'cdot'],
+          nextState: '0'
+        }
+      },
+      '\\x': {
+        '*': {
+          action_: 'rm='
+        }
+      },
+      'space': {
+        '*': {
+          action_: ['output', 'space'],
+          nextState: '0'
+        }
+      },
+      '^{(...)}|^(-1)': {
+        '1': {
+          action_: '^(-1)'
+        }
+      },
+      '-9.,9': {
+        '0': {
+          action_: 'rm=',
+          nextState: '0'
+        },
+        '1': {
+          action_: '^(-1)',
+          nextState: '0'
+        }
+      },
+      '{...}|else': {
+        '*': {
+          action_: 'rm=',
+          nextState: '1'
+        }
+      }
+    }),
+    actions: {
+      'cdot': function cdot() {
+        return {
+          type_: 'tight cdot'
+        };
+      },
+      '^(-1)': function _(buffer, m) {
+        buffer.rm += "^{" + m + "}";
+      },
+      'space': function space() {
+        return {
+          type_: 'pu-space-2'
+        };
+      },
+      'output': function output(buffer) {
+        /** @type {ParserOutput | ParserOutput[]} */
+        var ret = [];
+
+        if (buffer.rm) {
+          var mrm = mhchemParser.patterns.match_('{(...)}', buffer.rm || "");
+
+          if (mrm && mrm.remainder === '') {
+            ret = mhchemParser.go(mrm.match_, 'pu');
+          } else {
+            ret = {
+              type_: 'rm',
+              p1: buffer.rm
+            };
+          }
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    }
+  },
+  'pu-9,9': {
+    transitions: mhchemParser.createTransitions({
+      'empty': {
+        '0': {
+          action_: 'output-0'
+        },
+        'o': {
+          action_: 'output-o'
+        }
+      },
+      ',': {
+        '0': {
+          action_: ['output-0', 'comma'],
+          nextState: 'o'
+        }
+      },
+      '.': {
+        '0': {
+          action_: ['output-0', 'copy'],
+          nextState: 'o'
+        }
+      },
+      'else': {
+        '*': {
+          action_: 'text='
+        }
+      }
+    }),
+    actions: {
+      'comma': function comma() {
+        return {
+          type_: 'commaDecimal'
+        };
+      },
+      'output-0': function output0(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length % 3;
+
+          if (a === 0) {
+            a = 3;
+          }
+
+          for (var i = buffer.text_.length - 3; i > 0; i -= 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(0, a));
+          ret.reverse();
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      },
+      'output-o': function outputO(buffer) {
+        /** @type {ParserOutput[]} */
+        var ret = [];
+        buffer.text_ = buffer.text_ || "";
+
+        if (buffer.text_.length > 4) {
+          var a = buffer.text_.length - 3;
+
+          for (var i = 0; i < a; i += 3) {
+            ret.push(buffer.text_.substr(i, 3));
+            ret.push({
+              type_: '1000 separator'
+            });
+          }
+
+          ret.push(buffer.text_.substr(i));
+        } else {
+          ret.push(buffer.text_);
+        }
+
+        for (var p in buffer) {
+          delete buffer[p];
+        }
+
+        return ret;
+      }
+    } //#endregion
+
+  }
+}; //
+// texify: Take MhchemParser output and convert it to TeX
+//
+
+/** @type {Texify} */
+
+var texify = {
+  go: function go(input, isInner) {
+    // (recursive, max 4 levels)
+    if (!input) {
+      return "";
+    }
+
+    var res = "";
+    var cee = false;
+
+    for (var i = 0; i < input.length; i++) {
+      var inputi = input[i];
+
+      if (typeof inputi === "string") {
+        res += inputi;
+      } else {
+        res += texify._go2(inputi);
+
+        if (inputi.type_ === '1st-level escape') {
+          cee = true;
+        }
+      }
+    }
+
+    if (!isInner && !cee && res) {
+      res = "{" + res + "}";
+    }
+
+    return res;
+  },
+  _goInner: function _goInner(input) {
+    if (!input) {
+      return input;
+    }
+
+    return texify.go(input, true);
+  },
+  _go2: function _go2(buf) {
+    /** @type {undefined | string} */
+    var res;
+
+    switch (buf.type_) {
+      case 'chemfive':
+        res = "";
+        var b5 = {
+          a: texify._goInner(buf.a),
+          b: texify._goInner(buf.b),
+          p: texify._goInner(buf.p),
+          o: texify._goInner(buf.o),
+          q: texify._goInner(buf.q),
+          d: texify._goInner(buf.d)
+        }; //
+        // a
+        //
+
+        if (b5.a) {
+          if (b5.a.match(/^[+\-]/)) {
+            b5.a = "{" + b5.a + "}";
+          }
+
+          res += b5.a + "\\,";
+        } //
+        // b and p
+        //
+
+
+        if (b5.b || b5.p) {
+          res += "{\\vphantom{X}}";
+          res += "^{\\hphantom{" + (b5.b || "") + "}}_{\\hphantom{" + (b5.p || "") + "}}";
+          res += "{\\vphantom{X}}";
+          res += "^{\\smash[t]{\\vphantom{2}}\\mathllap{" + (b5.b || "") + "}}";
+          res += "_{\\vphantom{2}\\mathllap{\\smash[t]{" + (b5.p || "") + "}}}";
+        } //
+        // o
+        //
+
+
+        if (b5.o) {
+          if (b5.o.match(/^[+\-]/)) {
+            b5.o = "{" + b5.o + "}";
+          }
+
+          res += b5.o;
+        } //
+        // q and d
+        //
+
+
+        if (buf.dType === 'kv') {
+          if (b5.d || b5.q) {
+            res += "{\\vphantom{X}}";
+          }
+
+          if (b5.d) {
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else if (buf.dType === 'oxidation') {
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+        } else {
+          if (b5.q) {
+            res += "{\\vphantom{X}}";
+            res += "_{\\smash[t]{" + b5.q + "}}";
+          }
+
+          if (b5.d) {
+            res += "{\\vphantom{X}}";
+            res += "^{" + b5.d + "}";
+          }
+        }
+
+        break;
+
+      case 'rm':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'text':
+        if (buf.p1.match(/[\^_]/)) {
+          buf.p1 = buf.p1.replace(" ", "~").replace("-", "\\text{-}");
+          res = "\\mathrm{" + buf.p1 + "}";
+        } else {
+          res = "\\text{" + buf.p1 + "}";
+        }
+
+        break;
+
+      case 'roman numeral':
+        res = "\\mathrm{" + buf.p1 + "}";
+        break;
+
+      case 'state of aggregation':
+        res = "\\mskip2mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'state of aggregation subscript':
+        res = "\\mskip1mu " + texify._goInner(buf.p1);
+        break;
+
+      case 'bond':
+        res = texify._getBond(buf.kind_);
+
+        if (!res) {
+          throw ["MhchemErrorBond", "mhchem Error. Unknown bond type (" + buf.kind_ + ")"];
+        }
+
+        break;
+
+      case 'frac':
+        var c = "\\frac{" + buf.p1 + "}{" + buf.p2 + "}";
+        res = "\\mathchoice{\\textstyle" + c + "}{" + c + "}{" + c + "}{" + c + "}";
+        break;
+
+      case 'pu-frac':
+        var d = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        res = "\\mathchoice{\\textstyle" + d + "}{" + d + "}{" + d + "}{" + d + "}";
+        break;
+
+      case 'tex-math':
+        res = buf.p1 + " ";
+        break;
+
+      case 'frac-ce':
+        res = "\\frac{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'overset':
+        res = "\\overset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underset':
+        res = "\\underset{" + texify._goInner(buf.p1) + "}{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'underbrace':
+        res = "\\underbrace{" + texify._goInner(buf.p1) + "}_{" + texify._goInner(buf.p2) + "}";
+        break;
+
+      case 'color':
+        res = "{\\color{" + buf.color1 + "}{" + texify._goInner(buf.color2) + "}}";
+        break;
+
+      case 'color0':
+        res = "\\color{" + buf.color + "}";
+        break;
+
+      case 'arrow':
+        var b6 = {
+          rd: texify._goInner(buf.rd),
+          rq: texify._goInner(buf.rq)
+        };
+
+        var arrow = "\\x" + texify._getArrow(buf.r);
+
+        if (b6.rq) {
+          arrow += "[{" + b6.rq + "}]";
+        }
+
+        if (b6.rd) {
+          arrow += "{" + b6.rd + "}";
+        } else {
+          arrow += "{}";
+        }
+
+        res = arrow;
+        break;
+
+      case 'operator':
+        res = texify._getOperator(buf.kind_);
+        break;
+
+      case '1st-level escape':
+        res = buf.p1 + " "; // &, \\\\, \\hlin
+
+        break;
+
+      case 'space':
+        res = " ";
+        break;
+
+      case 'entitySkip':
+        res = "~";
+        break;
+
+      case 'pu-space-1':
+        res = "~";
+        break;
+
+      case 'pu-space-2':
+        res = "\\mkern3mu ";
+        break;
+
+      case '1000 separator':
+        res = "\\mkern2mu ";
+        break;
+
+      case 'commaDecimal':
+        res = "{,}";
+        break;
+
+      case 'comma enumeration L':
+        res = "{" + buf.p1 + "}\\mkern6mu ";
+        break;
+
+      case 'comma enumeration M':
+        res = "{" + buf.p1 + "}\\mkern3mu ";
+        break;
+
+      case 'comma enumeration S':
+        res = "{" + buf.p1 + "}\\mkern1mu ";
+        break;
+
+      case 'hyphen':
+        res = "\\text{-}";
+        break;
+
+      case 'addition compound':
+        res = "\\,{\\cdot}\\,";
+        break;
+
+      case 'electron dot':
+        res = "\\mkern1mu \\bullet\\mkern1mu ";
+        break;
+
+      case 'KV x':
+        res = "{\\times}";
+        break;
+
+      case 'prime':
+        res = "\\prime ";
+        break;
+
+      case 'cdot':
+        res = "\\cdot ";
+        break;
+
+      case 'tight cdot':
+        res = "\\mkern1mu{\\cdot}\\mkern1mu ";
+        break;
+
+      case 'times':
+        res = "\\times ";
+        break;
+
+      case 'circa':
+        res = "{\\sim}";
+        break;
+
+      case '^':
+        res = "uparrow";
+        break;
+
+      case 'v':
+        res = "downarrow";
+        break;
+
+      case 'ellipsis':
+        res = "\\ldots ";
+        break;
+
+      case '/':
+        res = "/";
+        break;
+
+      case ' / ':
+        res = "\\,/\\,";
+        break;
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+      // Missing texify rule or unknown MhchemParser output
+    }
+    return res;
+  },
+  _getArrow: function _getArrow(a) {
+    switch (a) {
+      case "->":
+        return "rightarrow";
+
+      case "\u2192":
+        return "rightarrow";
+
+      case "\u27F6":
+        return "rightarrow";
+
+      case "<-":
+        return "leftarrow";
+
+      case "<->":
+        return "leftrightarrow";
+
+      case "<-->":
+        return "rightleftarrows";
+
+      case "<=>":
+        return "rightleftharpoons";
+
+      case "\u21CC":
+        return "rightleftharpoons";
+
+      case "<=>>":
+        return "rightequilibrium";
+
+      case "<<=>":
+        return "leftequilibrium";
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getBond: function _getBond(a) {
+    switch (a) {
+      case "-":
+        return "{-}";
+
+      case "1":
+        return "{-}";
+
+      case "=":
+        return "{=}";
+
+      case "2":
+        return "{=}";
+
+      case "#":
+        return "{\\equiv}";
+
+      case "3":
+        return "{\\equiv}";
+
+      case "~":
+        return "{\\tripledash}";
+
+      case "~-":
+        return "{\\mathrlap{\\raisebox{-.1em}{$-$}}\\raisebox{.1em}{$\\tripledash$}}";
+
+      case "~=":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "~--":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$\\tripledash$}}-}";
+
+      case "-~-":
+        return "{\\mathrlap{\\raisebox{-.2em}{$-$}}\\mathrlap{\\raisebox{.2em}{$-$}}\\tripledash}";
+
+      case "...":
+        return "{{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "....":
+        return "{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";
+
+      case "->":
+        return "{\\rightarrow}";
+
+      case "<-":
+        return "{\\leftarrow}";
+
+      case "<":
+        return "{<}";
+
+      case ">":
+        return "{>}";
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  },
+  _getOperator: function _getOperator(a) {
+    switch (a) {
+      case "+":
+        return " {}+{} ";
+
+      case "-":
+        return " {}-{} ";
+
+      case "=":
+        return " {}={} ";
+
+      case "<":
+        return " {}<{} ";
+
+      case ">":
+        return " {}>{} ";
+
+      case "<<":
+        return " {}\\ll{} ";
+
+      case ">>":
+        return " {}\\gg{} ";
+
+      case "\\pm":
+        return " {}\\pm{} ";
+
+      case "\\approx":
+        return " {}\\approx{} ";
+
+      case "$\\approx$":
+        return " {}\\approx{} ";
+
+      case "v":
+        return " \\downarrow{} ";
+
+      case "(v)":
+        return " \\downarrow{} ";
+
+      case "^":
+        return " \\uparrow{} ";
+
+      case "(^)":
+        return " \\uparrow{} ";
+
+      default:
+        throw ["MhchemBugT", "mhchem bug T. Please report."];
+    }
+  }
+}; //
diff --git a/docs/static/katex/v0.12.0/contrib/render-a11y-string.js b/docs/static/katex/v0.12.0/contrib/render-a11y-string.js
new file mode 100644
index 000000000..d8b27c77b
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/render-a11y-string.js
@@ -0,0 +1,870 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory(require("katex"));
+	else if(typeof define === 'function' && define.amd)
+		define(["katex"], factory);
+	else {
+		var a = typeof exports === 'object' ? factory(require("katex")) : factory(root["katex"]);
+		for(var i in a) (typeof exports === 'object' ? exports : root)[i] = a[i];
+	}
+})((typeof self !== 'undefined' ? self : this), function(__WEBPACK_EXTERNAL_MODULE__0__) {
+return /******/ (function(modules) { // webpackBootstrap
+/******/ 	// The module cache
+/******/ 	var installedModules = {};
+/******/
+/******/ 	// The require function
+/******/ 	function __webpack_require__(moduleId) {
+/******/
+/******/ 		// Check if module is in cache
+/******/ 		if(installedModules[moduleId]) {
+/******/ 			return installedModules[moduleId].exports;
+/******/ 		}
+/******/ 		// Create a new module (and put it into the cache)
+/******/ 		var module = installedModules[moduleId] = {
+/******/ 			i: moduleId,
+/******/ 			l: false,
+/******/ 			exports: {}
+/******/ 		};
+/******/
+/******/ 		// Execute the module function
+/******/ 		modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
+/******/
+/******/ 		// Flag the module as loaded
+/******/ 		module.l = true;
+/******/
+/******/ 		// Return the exports of the module
+/******/ 		return module.exports;
+/******/ 	}
+/******/
+/******/
+/******/ 	// expose the modules object (__webpack_modules__)
+/******/ 	__webpack_require__.m = modules;
+/******/
+/******/ 	// expose the module cache
+/******/ 	__webpack_require__.c = installedModules;
+/******/
+/******/ 	// define getter function for harmony exports
+/******/ 	__webpack_require__.d = function(exports, name, getter) {
+/******/ 		if(!__webpack_require__.o(exports, name)) {
+/******/ 			Object.defineProperty(exports, name, { enumerable: true, get: getter });
+/******/ 		}
+/******/ 	};
+/******/
+/******/ 	// define __esModule on exports
+/******/ 	__webpack_require__.r = function(exports) {
+/******/ 		if(typeof Symbol !== 'undefined' && Symbol.toStringTag) {
+/******/ 			Object.defineProperty(exports, Symbol.toStringTag, { value: 'Module' });
+/******/ 		}
+/******/ 		Object.defineProperty(exports, '__esModule', { value: true });
+/******/ 	};
+/******/
+/******/ 	// create a fake namespace object
+/******/ 	// mode & 1: value is a module id, require it
+/******/ 	// mode & 2: merge all properties of value into the ns
+/******/ 	// mode & 4: return value when already ns object
+/******/ 	// mode & 8|1: behave like require
+/******/ 	__webpack_require__.t = function(value, mode) {
+/******/ 		if(mode & 1) value = __webpack_require__(value);
+/******/ 		if(mode & 8) return value;
+/******/ 		if((mode & 4) && typeof value === 'object' && value && value.__esModule) return value;
+/******/ 		var ns = Object.create(null);
+/******/ 		__webpack_require__.r(ns);
+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
+/******/ 		return ns;
+/******/ 	};
+/******/
+/******/ 	// getDefaultExport function for compatibility with non-harmony modules
+/******/ 	__webpack_require__.n = function(module) {
+/******/ 		var getter = module && module.__esModule ?
+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
+/******/ 		return getter;
+/******/ 	};
+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports) {
+
+module.exports = __WEBPACK_EXTERNAL_MODULE__0__;
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(0);
+/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0___default = /*#__PURE__*/__webpack_require__.n(katex__WEBPACK_IMPORTED_MODULE_0__);
+/**
+ * renderA11yString returns a readable string.
+ *
+ * In some cases the string will have the proper semantic math
+ * meaning,:
+ *   renderA11yString("\\frac{1}{2}"")
+ *   -> "start fraction, 1, divided by, 2, end fraction"
+ *
+ * However, other cases do not:
+ *   renderA11yString("f(x) = x^2")
+ *   -> "f, left parenthesis, x, right parenthesis, equals, x, squared"
+ *
+ * The commas in the string aim to increase ease of understanding
+ * when read by a screenreader.
+ */
+// NOTE: since we're importing types here these files won't actually be
+// included in the build.
+// $FlowIgnore: we import the types directly anyways
+
+var stringMap = {
+  "(": "left parenthesis",
+  ")": "right parenthesis",
+  "[": "open bracket",
+  "]": "close bracket",
+  "\\{": "left brace",
+  "\\}": "right brace",
+  "\\lvert": "open vertical bar",
+  "\\rvert": "close vertical bar",
+  "|": "vertical bar",
+  "\\uparrow": "up arrow",
+  "\\Uparrow": "up arrow",
+  "\\downarrow": "down arrow",
+  "\\Downarrow": "down arrow",
+  "\\updownarrow": "up down arrow",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  "\\langle": "open angle",
+  "\\rangle": "close angle",
+  "\\lfloor": "open floor",
+  "\\rfloor": "close floor",
+  "\\int": "integral",
+  "\\intop": "integral",
+  "\\lim": "limit",
+  "\\ln": "natural log",
+  "\\log": "log",
+  "\\sin": "sine",
+  "\\cos": "cosine",
+  "\\tan": "tangent",
+  "\\cot": "cotangent",
+  "\\sum": "sum",
+  "/": "slash",
+  ",": "comma",
+  ".": "point",
+  "-": "negative",
+  "+": "plus",
+  "~": "tilde",
+  ":": "colon",
+  "?": "question mark",
+  "'": "apostrophe",
+  "\\%": "percent",
+  " ": "space",
+  "\\ ": "space",
+  "\\$": "dollar sign",
+  "\\angle": "angle",
+  "\\degree": "degree",
+  "\\circ": "circle",
+  "\\vec": "vector",
+  "\\triangle": "triangle",
+  "\\pi": "pi",
+  "\\prime": "prime",
+  "\\infty": "infinity",
+  "\\alpha": "alpha",
+  "\\beta": "beta",
+  "\\gamma": "gamma",
+  "\\omega": "omega",
+  "\\theta": "theta",
+  "\\sigma": "sigma",
+  "\\lambda": "lambda",
+  "\\tau": "tau",
+  "\\Delta": "delta",
+  "\\delta": "delta",
+  "\\mu": "mu",
+  "\\rho": "rho",
+  "\\nabla": "del",
+  "\\ell": "ell",
+  "\\ldots": "dots",
+  // TODO: add entries for all accents
+  "\\hat": "hat",
+  "\\acute": "acute"
+};
+var powerMap = {
+  "prime": "prime",
+  "degree": "degrees",
+  "circle": "degrees",
+  "2": "squared",
+  "3": "cubed"
+};
+var openMap = {
+  "|": "open vertical bar",
+  ".": ""
+};
+var closeMap = {
+  "|": "close vertical bar",
+  ".": ""
+};
+var binMap = {
+  "+": "plus",
+  "-": "minus",
+  "\\pm": "plus minus",
+  "\\cdot": "dot",
+  "*": "times",
+  "/": "divided by",
+  "\\times": "times",
+  "\\div": "divided by",
+  "\\circ": "circle",
+  "\\bullet": "bullet"
+};
+var relMap = {
+  "=": "equals",
+  "\\approx": "approximately equals",
+  "≠": "does not equal",
+  "\\geq": "is greater than or equal to",
+  "\\ge": "is greater than or equal to",
+  "\\leq": "is less than or equal to",
+  "\\le": "is less than or equal to",
+  ">": "is greater than",
+  "<": "is less than",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  ":": "colon"
+};
+var accentUnderMap = {
+  "\\underleftarrow": "left arrow",
+  "\\underrightarrow": "right arrow",
+  "\\underleftrightarrow": "left-right arrow",
+  "\\undergroup": "group",
+  "\\underlinesegment": "line segment",
+  "\\utilde": "tilde"
+};
+
+var buildString = function buildString(str, type, a11yStrings) {
+  if (!str) {
+    return;
+  }
+
+  var ret;
+
+  if (type === "open") {
+    ret = str in openMap ? openMap[str] : stringMap[str] || str;
+  } else if (type === "close") {
+    ret = str in closeMap ? closeMap[str] : stringMap[str] || str;
+  } else if (type === "bin") {
+    ret = binMap[str] || str;
+  } else if (type === "rel") {
+    ret = relMap[str] || str;
+  } else {
+    ret = stringMap[str] || str;
+  } // If the text to add is a number and there is already a string
+  // in the list and the last string is a number then we should
+  // combine them into a single number
+
+
+  if (/^\d+$/.test(ret) && a11yStrings.length > 0 && // TODO(kevinb): check that the last item in a11yStrings is a string
+  // I think we might be able to drop the nested arrays, which would make
+  // this easier to type - $FlowFixMe
+  /^\d+$/.test(a11yStrings[a11yStrings.length - 1])) {
+    a11yStrings[a11yStrings.length - 1] += ret;
+  } else if (ret) {
+    a11yStrings.push(ret);
+  }
+};
+
+var buildRegion = function buildRegion(a11yStrings, callback) {
+  var regionStrings = [];
+  a11yStrings.push(regionStrings);
+  callback(regionStrings);
+};
+
+var handleObject = function handleObject(tree, a11yStrings, atomType) {
+  // Everything else is assumed to be an object...
+  switch (tree.type) {
+    case "accent":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(tree.label, "normal", a11yStrings);
+          a11yStrings.push("on top");
+        });
+        break;
+      }
+
+    case "accentUnder":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(accentUnderMap[tree.label], "normal", a11yStrings);
+          a11yStrings.push("underneath");
+        });
+        break;
+      }
+
+    case "accent-token":
+      {
+        // Used internally by accent symbols.
+        break;
+      }
+
+    case "atom":
+      {
+        var text = tree.text;
+
+        switch (tree.family) {
+          case "bin":
+            {
+              buildString(text, "bin", a11yStrings);
+              break;
+            }
+
+          case "close":
+            {
+              buildString(text, "close", a11yStrings);
+              break;
+            }
+          // TODO(kevinb): figure out what should be done for inner
+
+          case "inner":
+            {
+              buildString(tree.text, "inner", a11yStrings);
+              break;
+            }
+
+          case "open":
+            {
+              buildString(text, "open", a11yStrings);
+              break;
+            }
+
+          case "punct":
+            {
+              buildString(text, "punct", a11yStrings);
+              break;
+            }
+
+          case "rel":
+            {
+              buildString(text, "rel", a11yStrings);
+              break;
+            }
+
+          default:
+            {
+              tree.family;
+              throw new Error("\"" + tree.family + "\" is not a valid atom type");
+            }
+        }
+
+        break;
+      }
+
+    case "color":
+      {
+        var color = tree.color.replace(/katex-/, "");
+        buildRegion(a11yStrings, function (regionStrings) {
+          regionStrings.push("start color " + color);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end color " + color);
+        });
+        break;
+      }
+
+    case "color-token":
+      {
+        // Used by \color, \colorbox, and \fcolorbox but not directly rendered.
+        // It's a leaf node and has no children so just break.
+        break;
+      }
+
+    case "delimsizing":
+      {
+        if (tree.delim && tree.delim !== ".") {
+          buildString(tree.delim, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "genfrac":
+      {
+        buildRegion(a11yStrings, function (regionStrings) {
+          // genfrac can have unbalanced delimiters
+          var leftDelim = tree.leftDelim,
+              rightDelim = tree.rightDelim; // NOTE: Not sure if this is a safe assumption
+          // hasBarLine true -> fraction, false -> binomial
+
+          if (tree.hasBarLine) {
+            regionStrings.push("start fraction");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("divided by");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end fraction");
+          } else {
+            regionStrings.push("start binomial");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("over");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end binomial");
+          }
+        });
+        break;
+      }
+
+    case "kern":
+      {
+        // No op: we don't attempt to present kerning information
+        // to the screen reader.
+        break;
+      }
+
+    case "leftright":
+      {
+        buildRegion(a11yStrings, function (regionStrings) {
+          buildString(tree.left, "open", regionStrings);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          buildString(tree.right, "close", regionStrings);
+        });
+        break;
+      }
+
+    case "leftright-right":
+      {
+        // TODO: double check that this is a no-op
+        break;
+      }
+
+    case "lap":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "mathord":
+      {
+        buildString(tree.text, "normal", a11yStrings);
+        break;
+      }
+
+    case "op":
+      {
+        var body = tree.body,
+            name = tree.name;
+
+        if (body) {
+          buildA11yStrings(body, a11yStrings, atomType);
+        } else if (name) {
+          buildString(name, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "op-token":
+      {
+        // Used internally by operator symbols.
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "ordgroup":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "overline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start overline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end overline");
+        });
+        break;
+      }
+
+    case "phantom":
+      {
+        a11yStrings.push("empty space");
+        break;
+      }
+
+    case "raisebox":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "rule":
+      {
+        a11yStrings.push("rectangle");
+        break;
+      }
+
+    case "sizing":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "spacing":
+      {
+        a11yStrings.push("space");
+        break;
+      }
+
+    case "styling":
+      {
+        // We ignore the styling and just pass through the contents
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "sqrt":
+      {
+        buildRegion(a11yStrings, function (regionStrings) {
+          var body = tree.body,
+              index = tree.index;
+
+          if (index) {
+            var indexString = flatten(buildA11yStrings(index, [], atomType)).join(",");
+
+            if (indexString === "3") {
+              regionStrings.push("cube root of");
+              buildA11yStrings(body, regionStrings, atomType);
+              regionStrings.push("end cube root");
+              return;
+            }
+
+            regionStrings.push("root");
+            regionStrings.push("start index");
+            buildA11yStrings(index, regionStrings, atomType);
+            regionStrings.push("end index");
+            return;
+          }
+
+          regionStrings.push("square root of");
+          buildA11yStrings(body, regionStrings, atomType);
+          regionStrings.push("end square root");
+        });
+        break;
+      }
+
+    case "supsub":
+      {
+        var base = tree.base,
+            sub = tree.sub,
+            sup = tree.sup;
+        var isLog = false;
+
+        if (base) {
+          buildA11yStrings(base, a11yStrings, atomType);
+          isLog = base.type === "op" && base.name === "\\log";
+        }
+
+        if (sub) {
+          var regionName = isLog ? "base" : "subscript";
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start " + regionName);
+            buildA11yStrings(sub, regionStrings, atomType);
+            regionStrings.push("end " + regionName);
+          });
+        }
+
+        if (sup) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            var supString = flatten(buildA11yStrings(sup, [], atomType)).join(",");
+
+            if (supString in powerMap) {
+              regionStrings.push(powerMap[supString]);
+              return;
+            }
+
+            regionStrings.push("start superscript");
+            buildA11yStrings(sup, regionStrings, atomType);
+            regionStrings.push("end superscript");
+          });
+        }
+
+        break;
+      }
+
+    case "text":
+      {
+        // TODO: handle other fonts
+        if (tree.font === "\\textbf") {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start bold text");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end bold text");
+          });
+          break;
+        }
+
+        buildRegion(a11yStrings, function (regionStrings) {
+          regionStrings.push("start text");
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end text");
+        });
+        break;
+      }
+
+    case "textord":
+      {
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "smash":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "enclose":
+      {
+        // TODO: create a map for these.
+        // TODO: differentiate between a body with a single atom, e.g.
+        // "cancel a" instead of "start cancel, a, end cancel"
+        if (/cancel/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start cancel");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end cancel");
+          });
+          break;
+        } else if (/box/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start box");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end box");
+          });
+          break;
+        } else if (/sout/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start strikeout");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end strikeout");
+          });
+          break;
+        }
+
+        throw new Error("KaTeX-a11y: enclose node with " + tree.label + " not supported yet");
+      }
+
+    case "vphantom":
+      {
+        throw new Error("KaTeX-a11y: vphantom not implemented yet");
+      }
+
+    case "hphantom":
+      {
+        throw new Error("KaTeX-a11y: hphantom not implemented yet");
+      }
+
+    case "operatorname":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "array":
+      {
+        throw new Error("KaTeX-a11y: array not implemented yet");
+      }
+
+    case "raw":
+      {
+        throw new Error("KaTeX-a11y: raw not implemented yet");
+      }
+
+    case "size":
+      {
+        // Although there are nodes of type "size" in the parse tree, they have
+        // no semantic meaning and should be ignored.
+        break;
+      }
+
+    case "url":
+      {
+        throw new Error("KaTeX-a11y: url not implemented yet");
+      }
+
+    case "tag":
+      {
+        throw new Error("KaTeX-a11y: tag not implemented yet");
+      }
+
+    case "verb":
+      {
+        buildString("start verbatim", "normal", a11yStrings);
+        buildString(tree.body, "normal", a11yStrings);
+        buildString("end verbatim", "normal", a11yStrings);
+        break;
+      }
+
+    case "environment":
+      {
+        throw new Error("KaTeX-a11y: environment not implemented yet");
+      }
+
+    case "horizBrace":
+      {
+        buildString("start " + tree.label.slice(1), "normal", a11yStrings);
+        buildA11yStrings(tree.base, a11yStrings, atomType);
+        buildString("end " + tree.label.slice(1), "normal", a11yStrings);
+        break;
+      }
+
+    case "infix":
+      {
+        // All infix nodes are replace with other nodes.
+        break;
+      }
+
+    case "includegraphics":
+      {
+        throw new Error("KaTeX-a11y: includegraphics not implemented yet");
+      }
+
+    case "font":
+      {
+        // TODO: callout the start/end of specific fonts
+        // TODO: map \BBb{N} to "the naturals" or something like that
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "href":
+      {
+        throw new Error("KaTeX-a11y: href not implemented yet");
+      }
+
+    case "cr":
+      {
+        // This is used by environments.
+        throw new Error("KaTeX-a11y: cr not implemented yet");
+      }
+
+    case "underline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start underline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end underline");
+        });
+        break;
+      }
+
+    case "xArrow":
+      {
+        throw new Error("KaTeX-a11y: xArrow not implemented yet");
+      }
+
+    case "mclass":
+      {
+        // \neq and \ne are macros so we let "htmlmathml" render the mathmal
+        // side of things and extract the text from that.
+        var _atomType = tree.mclass.slice(1); // $FlowFixMe: drop the leading "m" from the values in mclass
+
+
+        buildA11yStrings(tree.body, a11yStrings, _atomType);
+        break;
+      }
+
+    case "mathchoice":
+      {
+        // TODO: track which which style we're using, e.g. dispaly, text, etc.
+        // default to text style if even that may not be the correct style
+        buildA11yStrings(tree.text, a11yStrings, atomType);
+        break;
+      }
+
+    case "htmlmathml":
+      {
+        buildA11yStrings(tree.mathml, a11yStrings, atomType);
+        break;
+      }
+
+    case "middle":
+      {
+        buildString(tree.delim, atomType, a11yStrings);
+        break;
+      }
+
+    case "internal":
+      {
+        // internal nodes are never included in the parse tree
+        break;
+      }
+
+    case "html":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    default:
+      tree.type;
+      throw new Error("KaTeX a11y un-recognized type: " + tree.type);
+  }
+};
+
+var buildA11yStrings = function buildA11yStrings(tree, a11yStrings, atomType) {
+  if (a11yStrings === void 0) {
+    a11yStrings = [];
+  }
+
+  if (tree instanceof Array) {
+    for (var i = 0; i < tree.length; i++) {
+      buildA11yStrings(tree[i], a11yStrings, atomType);
+    }
+  } else {
+    handleObject(tree, a11yStrings, atomType);
+  }
+
+  return a11yStrings;
+};
+
+var flatten = function flatten(array) {
+  var result = [];
+  array.forEach(function (item) {
+    if (item instanceof Array) {
+      result = result.concat(flatten(item));
+    } else {
+      result.push(item);
+    }
+  });
+  return result;
+};
+
+var renderA11yString = function renderA11yString(text, settings) {
+  var tree = katex__WEBPACK_IMPORTED_MODULE_0___default.a.__parse(text, settings);
+
+  var a11yStrings = buildA11yStrings(tree, [], "normal");
+  return flatten(a11yStrings).join(", ");
+};
+
+/* harmony default export */ __webpack_exports__["default"] = (renderA11yString);
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/render-a11y-string.min.js b/docs/static/katex/v0.12.0/contrib/render-a11y-string.min.js
new file mode 100644
index 000000000..5d406a6c6
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/render-a11y-string.min.js
@@ -0,0 +1 @@
+!function(e,r){if("object"==typeof exports&&"object"==typeof module)module.exports=r(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],r);else{var t="object"==typeof exports?r(require("katex")):r(e.katex);for(var a in t)("object"==typeof exports?exports:e)[a]=t[a]}}("undefined"!=typeof self?self:this,function(e){return function(e){var r={};function t(a){if(r[a])return r[a].exports;var o=r[a]={i:a,l:!1,exports:{}};return e[a].call(o.exports,o,o.exports,t),o.l=!0,o.exports}return t.m=e,t.c=r,t.d=function(e,r,a){t.o(e,r)||Object.defineProperty(e,r,{enumerable:!0,get:a})},t.r=function(e){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(e,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(e,"__esModule",{value:!0})},t.t=function(e,r){if(1&r&&(e=t(e)),8&r)return e;if(4&r&&"object"==typeof e&&e&&e.__esModule)return e;var a=Object.create(null);if(t.r(a),Object.defineProperty(a,"default",{enumerable:!0,value:e}),2&r&&"string"!=typeof e)for(var o in e)t.d(a,o,function(r){return e[r]}.bind(null,o));return a},t.n=function(e){var r=e&&e.__esModule?function(){return e.default}:function(){return e};return t.d(r,"a",r),r},t.o=function(e,r){return Object.prototype.hasOwnProperty.call(e,r)},t.p="",t(t.s=1)}([function(r,t){r.exports=e},function(e,r,t){"use strict";t.r(r);var a=t(0),o=t.n(a),n={"(":"left parenthesis",")":"right parenthesis","[":"open bracket","]":"close bracket","\\{":"left brace","\\}":"right brace","\\lvert":"open vertical bar","\\rvert":"close vertical bar","|":"vertical bar","\\uparrow":"up arrow","\\Uparrow":"up arrow","\\downarrow":"down arrow","\\Downarrow":"down arrow","\\updownarrow":"up down arrow","\\leftarrow":"left arrow","\\Leftarrow":"left arrow","\\rightarrow":"right arrow","\\Rightarrow":"right arrow","\\langle":"open angle","\\rangle":"close angle","\\lfloor":"open floor","\\rfloor":"close floor","\\int":"integral","\\intop":"integral","\\lim":"limit","\\ln":"natural log","\\log":"log","\\sin":"sine","\\cos":"cosine","\\tan":"tangent","\\cot":"cotangent","\\sum":"sum","/":"slash",",":"comma",".":"point","-":"negative","+":"plus","~":"tilde",":":"colon","?":"question mark","'":"apostrophe","\\%":"percent"," ":"space","\\ ":"space","\\$":"dollar sign","\\angle":"angle","\\degree":"degree","\\circ":"circle","\\vec":"vector","\\triangle":"triangle","\\pi":"pi","\\prime":"prime","\\infty":"infinity","\\alpha":"alpha","\\beta":"beta","\\gamma":"gamma","\\omega":"omega","\\theta":"theta","\\sigma":"sigma","\\lambda":"lambda","\\tau":"tau","\\Delta":"delta","\\delta":"delta","\\mu":"mu","\\rho":"rho","\\nabla":"del","\\ell":"ell","\\ldots":"dots","\\hat":"hat","\\acute":"acute"},s={prime:"prime",degree:"degrees",circle:"degrees",2:"squared",3:"cubed"},i={"|":"open vertical bar",".":""},l={"|":"close vertical bar",".":""},c={"+":"plus","-":"minus","\\pm":"plus minus","\\cdot":"dot","*":"times","/":"divided by","\\times":"times","\\div":"divided by","\\circ":"circle","\\bullet":"bullet"},u={"=":"equals","\\approx":"approximately equals","\u2260":"does not equal","\\geq":"is greater than or equal to","\\ge":"is greater than or equal to","\\leq":"is less than or equal to","\\le":"is less than or equal to",">":"is greater than","<":"is less than","\\leftarrow":"left arrow","\\Leftarrow":"left arrow","\\rightarrow":"right arrow","\\Rightarrow":"right arrow",":":"colon"},p={"\\underleftarrow":"left arrow","\\underrightarrow":"right arrow","\\underleftrightarrow":"left-right arrow","\\undergroup":"group","\\underlinesegment":"line segment","\\utilde":"tilde"},d=function(e,r,t){var a;e&&(/^\d+$/.test(a="open"===r?e in i?i[e]:n[e]||e:"close"===r?e in l?l[e]:n[e]||e:"bin"===r?c[e]||e:"rel"===r?u[e]||e:n[e]||e)&&t.length>0&&/^\d+$/.test(t[t.length-1])?t[t.length-1]+=a:a&&t.push(a))},b=function(e,r){var t=[];e.push(t),r(t)},h=function(e,r,t){switch(e.type){case"accent":b(r,function(r){f(e.base,r,t),r.push("with"),d(e.label,"normal",r),r.push("on top")});break;case"accentUnder":b(r,function(r){f(e.base,r,t),r.push("with"),d(p[e.label],"normal",r),r.push("underneath")});break;case"accent-token":break;case"atom":var a=e.text;switch(e.family){case"bin":d(a,"bin",r);break;case"close":d(a,"close",r);break;case"inner":d(e.text,"inner",r);break;case"open":d(a,"open",r);break;case"punct":d(a,"punct",r);break;case"rel":d(a,"rel",r);break;default:throw e.family,new Error('"'+e.family+'" is not a valid atom type')}break;case"color":var o=e.color.replace(/katex-/,"");b(r,function(r){r.push("start color "+o),f(e.body,r,t),r.push("end color "+o)});break;case"color-token":break;case"delimsizing":e.delim&&"."!==e.delim&&d(e.delim,"normal",r);break;case"genfrac":b(r,function(r){var a=e.leftDelim,o=e.rightDelim;e.hasBarLine?(r.push("start fraction"),a&&d(a,"open",r),f(e.numer,r,t),r.push("divided by"),f(e.denom,r,t),o&&d(o,"close",r),r.push("end fraction")):(r.push("start binomial"),a&&d(a,"open",r),f(e.numer,r,t),r.push("over"),f(e.denom,r,t),o&&d(o,"close",r),r.push("end binomial"))});break;case"kern":break;case"leftright":b(r,function(r){d(e.left,"open",r),f(e.body,r,t),d(e.right,"close",r)});break;case"leftright-right":break;case"lap":f(e.body,r,t);break;case"mathord":d(e.text,"normal",r);break;case"op":var n=e.body,i=e.name;n?f(n,r,t):i&&d(i,"normal",r);break;case"op-token":d(e.text,t,r);break;case"ordgroup":f(e.body,r,t);break;case"overline":b(r,function(r){r.push("start overline"),f(e.body,r,t),r.push("end overline")});break;case"phantom":r.push("empty space");break;case"raisebox":f(e.body,r,t);break;case"rule":r.push("rectangle");break;case"sizing":f(e.body,r,t);break;case"spacing":r.push("space");break;case"styling":f(e.body,r,t);break;case"sqrt":b(r,function(r){var a=e.body,o=e.index;if(o)return"3"===m(f(o,[],t)).join(",")?(r.push("cube root of"),f(a,r,t),void r.push("end cube root")):(r.push("root"),r.push("start index"),f(o,r,t),void r.push("end index"));r.push("square root of"),f(a,r,t),r.push("end square root")});break;case"supsub":var l=e.base,c=e.sub,u=e.sup,h=!1;if(l&&(f(l,r,t),h="op"===l.type&&"\\log"===l.name),c){var y=h?"base":"subscript";b(r,function(e){e.push("start "+y),f(c,e,t),e.push("end "+y)})}u&&b(r,function(e){var r=m(f(u,[],t)).join(",");r in s?e.push(s[r]):(e.push("start superscript"),f(u,e,t),e.push("end superscript"))});break;case"text":if("\\textbf"===e.font){b(r,function(r){r.push("start bold text"),f(e.body,r,t),r.push("end bold text")});break}b(r,function(r){r.push("start text"),f(e.body,r,t),r.push("end text")});break;case"textord":d(e.text,t,r);break;case"smash":f(e.body,r,t);break;case"enclose":if(/cancel/.test(e.label)){b(r,function(r){r.push("start cancel"),f(e.body,r,t),r.push("end cancel")});break}if(/box/.test(e.label)){b(r,function(r){r.push("start box"),f(e.body,r,t),r.push("end box")});break}if(/sout/.test(e.label)){b(r,function(r){r.push("start strikeout"),f(e.body,r,t),r.push("end strikeout")});break}throw new Error("KaTeX-a11y: enclose node with "+e.label+" not supported yet");case"vphantom":throw new Error("KaTeX-a11y: vphantom not implemented yet");case"hphantom":throw new Error("KaTeX-a11y: hphantom not implemented yet");case"operatorname":f(e.body,r,t);break;case"array":throw new Error("KaTeX-a11y: array not implemented yet");case"raw":throw new Error("KaTeX-a11y: raw not implemented yet");case"size":break;case"url":throw new Error("KaTeX-a11y: url not implemented yet");case"tag":throw new Error("KaTeX-a11y: tag not implemented yet");case"verb":d("start verbatim","normal",r),d(e.body,"normal",r),d("end verbatim","normal",r);break;case"environment":throw new Error("KaTeX-a11y: environment not implemented yet");case"horizBrace":d("start "+e.label.slice(1),"normal",r),f(e.base,r,t),d("end "+e.label.slice(1),"normal",r);break;case"infix":break;case"includegraphics":throw new Error("KaTeX-a11y: includegraphics not implemented yet");case"font":f(e.body,r,t);break;case"href":throw new Error("KaTeX-a11y: href not implemented yet");case"cr":throw new Error("KaTeX-a11y: cr not implemented yet");case"underline":b(r,function(r){r.push("start underline"),f(e.body,r,t),r.push("end underline")});break;case"xArrow":throw new Error("KaTeX-a11y: xArrow not implemented yet");case"mclass":var g=e.mclass.slice(1);f(e.body,r,g);break;case"mathchoice":f(e.text,r,t);break;case"htmlmathml":f(e.mathml,r,t);break;case"middle":d(e.delim,t,r);break;case"internal":break;case"html":f(e.body,r,t);break;default:throw e.type,new Error("KaTeX a11y un-recognized type: "+e.type)}},f=function e(r,t,a){if(void 0===t&&(t=[]),r instanceof Array)for(var o=0;o<r.length;o++)e(r[o],t,a);else h(r,t,a);return t},m=function e(r){var t=[];return r.forEach(function(r){r instanceof Array?t=t.concat(e(r)):t.push(r)}),t};r.default=function(e,r){var t=o.a.__parse(e,r),a=f(t,[],"normal");return m(a).join(", ")}}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/contrib/render-a11y-string.mjs b/docs/static/katex/v0.12.0/contrib/render-a11y-string.mjs
new file mode 100644
index 000000000..4eabb7ba9
--- /dev/null
+++ b/docs/static/katex/v0.12.0/contrib/render-a11y-string.mjs
@@ -0,0 +1,753 @@
+import katex from '../katex.mjs';
+
+/**
+ * renderA11yString returns a readable string.
+ *
+ * In some cases the string will have the proper semantic math
+ * meaning,:
+ *   renderA11yString("\\frac{1}{2}"")
+ *   -> "start fraction, 1, divided by, 2, end fraction"
+ *
+ * However, other cases do not:
+ *   renderA11yString("f(x) = x^2")
+ *   -> "f, left parenthesis, x, right parenthesis, equals, x, squared"
+ *
+ * The commas in the string aim to increase ease of understanding
+ * when read by a screenreader.
+ */
+const stringMap = {
+  "(": "left parenthesis",
+  ")": "right parenthesis",
+  "[": "open bracket",
+  "]": "close bracket",
+  "\\{": "left brace",
+  "\\}": "right brace",
+  "\\lvert": "open vertical bar",
+  "\\rvert": "close vertical bar",
+  "|": "vertical bar",
+  "\\uparrow": "up arrow",
+  "\\Uparrow": "up arrow",
+  "\\downarrow": "down arrow",
+  "\\Downarrow": "down arrow",
+  "\\updownarrow": "up down arrow",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  "\\langle": "open angle",
+  "\\rangle": "close angle",
+  "\\lfloor": "open floor",
+  "\\rfloor": "close floor",
+  "\\int": "integral",
+  "\\intop": "integral",
+  "\\lim": "limit",
+  "\\ln": "natural log",
+  "\\log": "log",
+  "\\sin": "sine",
+  "\\cos": "cosine",
+  "\\tan": "tangent",
+  "\\cot": "cotangent",
+  "\\sum": "sum",
+  "/": "slash",
+  ",": "comma",
+  ".": "point",
+  "-": "negative",
+  "+": "plus",
+  "~": "tilde",
+  ":": "colon",
+  "?": "question mark",
+  "'": "apostrophe",
+  "\\%": "percent",
+  " ": "space",
+  "\\ ": "space",
+  "\\$": "dollar sign",
+  "\\angle": "angle",
+  "\\degree": "degree",
+  "\\circ": "circle",
+  "\\vec": "vector",
+  "\\triangle": "triangle",
+  "\\pi": "pi",
+  "\\prime": "prime",
+  "\\infty": "infinity",
+  "\\alpha": "alpha",
+  "\\beta": "beta",
+  "\\gamma": "gamma",
+  "\\omega": "omega",
+  "\\theta": "theta",
+  "\\sigma": "sigma",
+  "\\lambda": "lambda",
+  "\\tau": "tau",
+  "\\Delta": "delta",
+  "\\delta": "delta",
+  "\\mu": "mu",
+  "\\rho": "rho",
+  "\\nabla": "del",
+  "\\ell": "ell",
+  "\\ldots": "dots",
+  // TODO: add entries for all accents
+  "\\hat": "hat",
+  "\\acute": "acute"
+};
+const powerMap = {
+  "prime": "prime",
+  "degree": "degrees",
+  "circle": "degrees",
+  "2": "squared",
+  "3": "cubed"
+};
+const openMap = {
+  "|": "open vertical bar",
+  ".": ""
+};
+const closeMap = {
+  "|": "close vertical bar",
+  ".": ""
+};
+const binMap = {
+  "+": "plus",
+  "-": "minus",
+  "\\pm": "plus minus",
+  "\\cdot": "dot",
+  "*": "times",
+  "/": "divided by",
+  "\\times": "times",
+  "\\div": "divided by",
+  "\\circ": "circle",
+  "\\bullet": "bullet"
+};
+const relMap = {
+  "=": "equals",
+  "\\approx": "approximately equals",
+  "≠": "does not equal",
+  "\\geq": "is greater than or equal to",
+  "\\ge": "is greater than or equal to",
+  "\\leq": "is less than or equal to",
+  "\\le": "is less than or equal to",
+  ">": "is greater than",
+  "<": "is less than",
+  "\\leftarrow": "left arrow",
+  "\\Leftarrow": "left arrow",
+  "\\rightarrow": "right arrow",
+  "\\Rightarrow": "right arrow",
+  ":": "colon"
+};
+const accentUnderMap = {
+  "\\underleftarrow": "left arrow",
+  "\\underrightarrow": "right arrow",
+  "\\underleftrightarrow": "left-right arrow",
+  "\\undergroup": "group",
+  "\\underlinesegment": "line segment",
+  "\\utilde": "tilde"
+};
+
+const buildString = (str, type, a11yStrings) => {
+  if (!str) {
+    return;
+  }
+
+  let ret;
+
+  if (type === "open") {
+    ret = str in openMap ? openMap[str] : stringMap[str] || str;
+  } else if (type === "close") {
+    ret = str in closeMap ? closeMap[str] : stringMap[str] || str;
+  } else if (type === "bin") {
+    ret = binMap[str] || str;
+  } else if (type === "rel") {
+    ret = relMap[str] || str;
+  } else {
+    ret = stringMap[str] || str;
+  } // If the text to add is a number and there is already a string
+  // in the list and the last string is a number then we should
+  // combine them into a single number
+
+
+  if (/^\d+$/.test(ret) && a11yStrings.length > 0 && // TODO(kevinb): check that the last item in a11yStrings is a string
+  // I think we might be able to drop the nested arrays, which would make
+  // this easier to type - $FlowFixMe
+  /^\d+$/.test(a11yStrings[a11yStrings.length - 1])) {
+    a11yStrings[a11yStrings.length - 1] += ret;
+  } else if (ret) {
+    a11yStrings.push(ret);
+  }
+};
+
+const buildRegion = (a11yStrings, callback) => {
+  const regionStrings = [];
+  a11yStrings.push(regionStrings);
+  callback(regionStrings);
+};
+
+const handleObject = (tree, a11yStrings, atomType) => {
+  // Everything else is assumed to be an object...
+  switch (tree.type) {
+    case "accent":
+      {
+        buildRegion(a11yStrings, a11yStrings => {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(tree.label, "normal", a11yStrings);
+          a11yStrings.push("on top");
+        });
+        break;
+      }
+
+    case "accentUnder":
+      {
+        buildRegion(a11yStrings, a11yStrings => {
+          buildA11yStrings(tree.base, a11yStrings, atomType);
+          a11yStrings.push("with");
+          buildString(accentUnderMap[tree.label], "normal", a11yStrings);
+          a11yStrings.push("underneath");
+        });
+        break;
+      }
+
+    case "accent-token":
+      {
+        // Used internally by accent symbols.
+        break;
+      }
+
+    case "atom":
+      {
+        const text = tree.text;
+
+        switch (tree.family) {
+          case "bin":
+            {
+              buildString(text, "bin", a11yStrings);
+              break;
+            }
+
+          case "close":
+            {
+              buildString(text, "close", a11yStrings);
+              break;
+            }
+          // TODO(kevinb): figure out what should be done for inner
+
+          case "inner":
+            {
+              buildString(tree.text, "inner", a11yStrings);
+              break;
+            }
+
+          case "open":
+            {
+              buildString(text, "open", a11yStrings);
+              break;
+            }
+
+          case "punct":
+            {
+              buildString(text, "punct", a11yStrings);
+              break;
+            }
+
+          case "rel":
+            {
+              buildString(text, "rel", a11yStrings);
+              break;
+            }
+
+          default:
+            {
+              tree.family;
+              throw new Error(`"${tree.family}" is not a valid atom type`);
+            }
+        }
+
+        break;
+      }
+
+    case "color":
+      {
+        const color = tree.color.replace(/katex-/, "");
+        buildRegion(a11yStrings, regionStrings => {
+          regionStrings.push("start color " + color);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end color " + color);
+        });
+        break;
+      }
+
+    case "color-token":
+      {
+        // Used by \color, \colorbox, and \fcolorbox but not directly rendered.
+        // It's a leaf node and has no children so just break.
+        break;
+      }
+
+    case "delimsizing":
+      {
+        if (tree.delim && tree.delim !== ".") {
+          buildString(tree.delim, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "genfrac":
+      {
+        buildRegion(a11yStrings, regionStrings => {
+          // genfrac can have unbalanced delimiters
+          const leftDelim = tree.leftDelim,
+                rightDelim = tree.rightDelim; // NOTE: Not sure if this is a safe assumption
+          // hasBarLine true -> fraction, false -> binomial
+
+          if (tree.hasBarLine) {
+            regionStrings.push("start fraction");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("divided by");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end fraction");
+          } else {
+            regionStrings.push("start binomial");
+            leftDelim && buildString(leftDelim, "open", regionStrings);
+            buildA11yStrings(tree.numer, regionStrings, atomType);
+            regionStrings.push("over");
+            buildA11yStrings(tree.denom, regionStrings, atomType);
+            rightDelim && buildString(rightDelim, "close", regionStrings);
+            regionStrings.push("end binomial");
+          }
+        });
+        break;
+      }
+
+    case "kern":
+      {
+        // No op: we don't attempt to present kerning information
+        // to the screen reader.
+        break;
+      }
+
+    case "leftright":
+      {
+        buildRegion(a11yStrings, regionStrings => {
+          buildString(tree.left, "open", regionStrings);
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          buildString(tree.right, "close", regionStrings);
+        });
+        break;
+      }
+
+    case "leftright-right":
+      {
+        // TODO: double check that this is a no-op
+        break;
+      }
+
+    case "lap":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "mathord":
+      {
+        buildString(tree.text, "normal", a11yStrings);
+        break;
+      }
+
+    case "op":
+      {
+        const body = tree.body,
+              name = tree.name;
+
+        if (body) {
+          buildA11yStrings(body, a11yStrings, atomType);
+        } else if (name) {
+          buildString(name, "normal", a11yStrings);
+        }
+
+        break;
+      }
+
+    case "op-token":
+      {
+        // Used internally by operator symbols.
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "ordgroup":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "overline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start overline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end overline");
+        });
+        break;
+      }
+
+    case "phantom":
+      {
+        a11yStrings.push("empty space");
+        break;
+      }
+
+    case "raisebox":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "rule":
+      {
+        a11yStrings.push("rectangle");
+        break;
+      }
+
+    case "sizing":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "spacing":
+      {
+        a11yStrings.push("space");
+        break;
+      }
+
+    case "styling":
+      {
+        // We ignore the styling and just pass through the contents
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "sqrt":
+      {
+        buildRegion(a11yStrings, regionStrings => {
+          const body = tree.body,
+                index = tree.index;
+
+          if (index) {
+            const indexString = flatten(buildA11yStrings(index, [], atomType)).join(",");
+
+            if (indexString === "3") {
+              regionStrings.push("cube root of");
+              buildA11yStrings(body, regionStrings, atomType);
+              regionStrings.push("end cube root");
+              return;
+            }
+
+            regionStrings.push("root");
+            regionStrings.push("start index");
+            buildA11yStrings(index, regionStrings, atomType);
+            regionStrings.push("end index");
+            return;
+          }
+
+          regionStrings.push("square root of");
+          buildA11yStrings(body, regionStrings, atomType);
+          regionStrings.push("end square root");
+        });
+        break;
+      }
+
+    case "supsub":
+      {
+        const base = tree.base,
+              sub = tree.sub,
+              sup = tree.sup;
+        let isLog = false;
+
+        if (base) {
+          buildA11yStrings(base, a11yStrings, atomType);
+          isLog = base.type === "op" && base.name === "\\log";
+        }
+
+        if (sub) {
+          const regionName = isLog ? "base" : "subscript";
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push(`start ${regionName}`);
+            buildA11yStrings(sub, regionStrings, atomType);
+            regionStrings.push(`end ${regionName}`);
+          });
+        }
+
+        if (sup) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            const supString = flatten(buildA11yStrings(sup, [], atomType)).join(",");
+
+            if (supString in powerMap) {
+              regionStrings.push(powerMap[supString]);
+              return;
+            }
+
+            regionStrings.push("start superscript");
+            buildA11yStrings(sup, regionStrings, atomType);
+            regionStrings.push("end superscript");
+          });
+        }
+
+        break;
+      }
+
+    case "text":
+      {
+        // TODO: handle other fonts
+        if (tree.font === "\\textbf") {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start bold text");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end bold text");
+          });
+          break;
+        }
+
+        buildRegion(a11yStrings, function (regionStrings) {
+          regionStrings.push("start text");
+          buildA11yStrings(tree.body, regionStrings, atomType);
+          regionStrings.push("end text");
+        });
+        break;
+      }
+
+    case "textord":
+      {
+        buildString(tree.text, atomType, a11yStrings);
+        break;
+      }
+
+    case "smash":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "enclose":
+      {
+        // TODO: create a map for these.
+        // TODO: differentiate between a body with a single atom, e.g.
+        // "cancel a" instead of "start cancel, a, end cancel"
+        if (/cancel/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start cancel");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end cancel");
+          });
+          break;
+        } else if (/box/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start box");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end box");
+          });
+          break;
+        } else if (/sout/.test(tree.label)) {
+          buildRegion(a11yStrings, function (regionStrings) {
+            regionStrings.push("start strikeout");
+            buildA11yStrings(tree.body, regionStrings, atomType);
+            regionStrings.push("end strikeout");
+          });
+          break;
+        }
+
+        throw new Error(`KaTeX-a11y: enclose node with ${tree.label} not supported yet`);
+      }
+
+    case "vphantom":
+      {
+        throw new Error("KaTeX-a11y: vphantom not implemented yet");
+      }
+
+    case "hphantom":
+      {
+        throw new Error("KaTeX-a11y: hphantom not implemented yet");
+      }
+
+    case "operatorname":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "array":
+      {
+        throw new Error("KaTeX-a11y: array not implemented yet");
+      }
+
+    case "raw":
+      {
+        throw new Error("KaTeX-a11y: raw not implemented yet");
+      }
+
+    case "size":
+      {
+        // Although there are nodes of type "size" in the parse tree, they have
+        // no semantic meaning and should be ignored.
+        break;
+      }
+
+    case "url":
+      {
+        throw new Error("KaTeX-a11y: url not implemented yet");
+      }
+
+    case "tag":
+      {
+        throw new Error("KaTeX-a11y: tag not implemented yet");
+      }
+
+    case "verb":
+      {
+        buildString(`start verbatim`, "normal", a11yStrings);
+        buildString(tree.body, "normal", a11yStrings);
+        buildString(`end verbatim`, "normal", a11yStrings);
+        break;
+      }
+
+    case "environment":
+      {
+        throw new Error("KaTeX-a11y: environment not implemented yet");
+      }
+
+    case "horizBrace":
+      {
+        buildString(`start ${tree.label.slice(1)}`, "normal", a11yStrings);
+        buildA11yStrings(tree.base, a11yStrings, atomType);
+        buildString(`end ${tree.label.slice(1)}`, "normal", a11yStrings);
+        break;
+      }
+
+    case "infix":
+      {
+        // All infix nodes are replace with other nodes.
+        break;
+      }
+
+    case "includegraphics":
+      {
+        throw new Error("KaTeX-a11y: includegraphics not implemented yet");
+      }
+
+    case "font":
+      {
+        // TODO: callout the start/end of specific fonts
+        // TODO: map \BBb{N} to "the naturals" or something like that
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "href":
+      {
+        throw new Error("KaTeX-a11y: href not implemented yet");
+      }
+
+    case "cr":
+      {
+        // This is used by environments.
+        throw new Error("KaTeX-a11y: cr not implemented yet");
+      }
+
+    case "underline":
+      {
+        buildRegion(a11yStrings, function (a11yStrings) {
+          a11yStrings.push("start underline");
+          buildA11yStrings(tree.body, a11yStrings, atomType);
+          a11yStrings.push("end underline");
+        });
+        break;
+      }
+
+    case "xArrow":
+      {
+        throw new Error("KaTeX-a11y: xArrow not implemented yet");
+      }
+
+    case "mclass":
+      {
+        // \neq and \ne are macros so we let "htmlmathml" render the mathmal
+        // side of things and extract the text from that.
+        const atomType = tree.mclass.slice(1); // $FlowFixMe: drop the leading "m" from the values in mclass
+
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    case "mathchoice":
+      {
+        // TODO: track which which style we're using, e.g. dispaly, text, etc.
+        // default to text style if even that may not be the correct style
+        buildA11yStrings(tree.text, a11yStrings, atomType);
+        break;
+      }
+
+    case "htmlmathml":
+      {
+        buildA11yStrings(tree.mathml, a11yStrings, atomType);
+        break;
+      }
+
+    case "middle":
+      {
+        buildString(tree.delim, atomType, a11yStrings);
+        break;
+      }
+
+    case "internal":
+      {
+        // internal nodes are never included in the parse tree
+        break;
+      }
+
+    case "html":
+      {
+        buildA11yStrings(tree.body, a11yStrings, atomType);
+        break;
+      }
+
+    default:
+      tree.type;
+      throw new Error("KaTeX a11y un-recognized type: " + tree.type);
+  }
+};
+
+const buildA11yStrings = function buildA11yStrings(tree, a11yStrings, atomType) {
+  if (a11yStrings === void 0) {
+    a11yStrings = [];
+  }
+
+  if (tree instanceof Array) {
+    for (let i = 0; i < tree.length; i++) {
+      buildA11yStrings(tree[i], a11yStrings, atomType);
+    }
+  } else {
+    handleObject(tree, a11yStrings, atomType);
+  }
+
+  return a11yStrings;
+};
+
+const flatten = function flatten(array) {
+  let result = [];
+  array.forEach(function (item) {
+    if (item instanceof Array) {
+      result = result.concat(flatten(item));
+    } else {
+      result.push(item);
+    }
+  });
+  return result;
+};
+
+const renderA11yString = function renderA11yString(text, settings) {
+  const tree = katex.__parse(text, settings);
+
+  const a11yStrings = buildA11yStrings(tree, [], "normal");
+  return flatten(a11yStrings).join(", ");
+};
+
+export default renderA11yString;
diff --git a/docs/static/katex/v0.12.0/fonts/KaTeX_AMS-Regular.ttf b/docs/static/katex/v0.12.0/fonts/KaTeX_AMS-Regular.ttf
new file mode 100644
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new file mode 100644
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diff --git a/docs/static/katex/v0.12.0/katex.css b/docs/static/katex/v0.12.0/katex.css
new file mode 100644
index 000000000..ba8875820
--- /dev/null
+++ b/docs/static/katex/v0.12.0/katex.css
@@ -0,0 +1,1035 @@
+/* stylelint-disable font-family-no-missing-generic-family-keyword */
+@font-face {
+  font-family: 'KaTeX_AMS';
+  src: url(fonts/KaTeX_AMS-Regular.woff2) format('woff2'), url(fonts/KaTeX_AMS-Regular.woff) format('woff'), url(fonts/KaTeX_AMS-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Caligraphic';
+  src: url(fonts/KaTeX_Caligraphic-Bold.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Bold.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Caligraphic';
+  src: url(fonts/KaTeX_Caligraphic-Regular.woff2) format('woff2'), url(fonts/KaTeX_Caligraphic-Regular.woff) format('woff'), url(fonts/KaTeX_Caligraphic-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Fraktur';
+  src: url(fonts/KaTeX_Fraktur-Bold.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Bold.woff) format('woff'), url(fonts/KaTeX_Fraktur-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Fraktur';
+  src: url(fonts/KaTeX_Fraktur-Regular.woff2) format('woff2'), url(fonts/KaTeX_Fraktur-Regular.woff) format('woff'), url(fonts/KaTeX_Fraktur-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-Bold.woff2) format('woff2'), url(fonts/KaTeX_Main-Bold.woff) format('woff'), url(fonts/KaTeX_Main-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-BoldItalic.woff2) format('woff2'), url(fonts/KaTeX_Main-BoldItalic.woff) format('woff'), url(fonts/KaTeX_Main-BoldItalic.ttf) format('truetype');
+  font-weight: bold;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-Italic.woff2) format('woff2'), url(fonts/KaTeX_Main-Italic.woff) format('woff'), url(fonts/KaTeX_Main-Italic.ttf) format('truetype');
+  font-weight: normal;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_Main';
+  src: url(fonts/KaTeX_Main-Regular.woff2) format('woff2'), url(fonts/KaTeX_Main-Regular.woff) format('woff'), url(fonts/KaTeX_Main-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Math';
+  src: url(fonts/KaTeX_Math-BoldItalic.woff2) format('woff2'), url(fonts/KaTeX_Math-BoldItalic.woff) format('woff'), url(fonts/KaTeX_Math-BoldItalic.ttf) format('truetype');
+  font-weight: bold;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_Math';
+  src: url(fonts/KaTeX_Math-Italic.woff2) format('woff2'), url(fonts/KaTeX_Math-Italic.woff) format('woff'), url(fonts/KaTeX_Math-Italic.ttf) format('truetype');
+  font-weight: normal;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_SansSerif';
+  src: url(fonts/KaTeX_SansSerif-Bold.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Bold.woff) format('woff'), url(fonts/KaTeX_SansSerif-Bold.ttf) format('truetype');
+  font-weight: bold;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_SansSerif';
+  src: url(fonts/KaTeX_SansSerif-Italic.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Italic.woff) format('woff'), url(fonts/KaTeX_SansSerif-Italic.ttf) format('truetype');
+  font-weight: normal;
+  font-style: italic;
+}
+@font-face {
+  font-family: 'KaTeX_SansSerif';
+  src: url(fonts/KaTeX_SansSerif-Regular.woff2) format('woff2'), url(fonts/KaTeX_SansSerif-Regular.woff) format('woff'), url(fonts/KaTeX_SansSerif-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Script';
+  src: url(fonts/KaTeX_Script-Regular.woff2) format('woff2'), url(fonts/KaTeX_Script-Regular.woff) format('woff'), url(fonts/KaTeX_Script-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Size1';
+  src: url(fonts/KaTeX_Size1-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size1-Regular.woff) format('woff'), url(fonts/KaTeX_Size1-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Size2';
+  src: url(fonts/KaTeX_Size2-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size2-Regular.woff) format('woff'), url(fonts/KaTeX_Size2-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Size3';
+  src: url(fonts/KaTeX_Size3-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size3-Regular.woff) format('woff'), url(fonts/KaTeX_Size3-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Size4';
+  src: url(fonts/KaTeX_Size4-Regular.woff2) format('woff2'), url(fonts/KaTeX_Size4-Regular.woff) format('woff'), url(fonts/KaTeX_Size4-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+@font-face {
+  font-family: 'KaTeX_Typewriter';
+  src: url(fonts/KaTeX_Typewriter-Regular.woff2) format('woff2'), url(fonts/KaTeX_Typewriter-Regular.woff) format('woff'), url(fonts/KaTeX_Typewriter-Regular.ttf) format('truetype');
+  font-weight: normal;
+  font-style: normal;
+}
+.katex {
+  font: normal 1.21em KaTeX_Main, Times New Roman, serif;
+  line-height: 1.2;
+  text-indent: 0;
+  text-rendering: auto;
+  border-color: currentColor;
+}
+.katex * {
+  -ms-high-contrast-adjust: none !important;
+}
+.katex .katex-version::after {
+  content: "0.12.0";
+}
+.katex .katex-mathml {
+  position: absolute;
+  clip: rect(1px, 1px, 1px, 1px);
+  padding: 0;
+  border: 0;
+  height: 1px;
+  width: 1px;
+  overflow: hidden;
+}
+.katex .katex-html {
+  /* \newline is an empty block at top level, between .base elements */
+}
+.katex .katex-html > .newline {
+  display: block;
+}
+.katex .base {
+  position: relative;
+  display: inline-block;
+  white-space: nowrap;
+  width: min-content;
+}
+.katex .strut {
+  display: inline-block;
+}
+.katex .textbf {
+  font-weight: bold;
+}
+.katex .textit {
+  font-style: italic;
+}
+.katex .textrm {
+  font-family: KaTeX_Main;
+}
+.katex .textsf {
+  font-family: KaTeX_SansSerif;
+}
+.katex .texttt {
+  font-family: KaTeX_Typewriter;
+}
+.katex .mathnormal {
+  font-family: KaTeX_Math;
+  font-style: italic;
+}
+.katex .mathit {
+  font-family: KaTeX_Main;
+  font-style: italic;
+}
+.katex .mathrm {
+  font-style: normal;
+}
+.katex .mathbf {
+  font-family: KaTeX_Main;
+  font-weight: bold;
+}
+.katex .boldsymbol {
+  font-family: KaTeX_Math;
+  font-weight: bold;
+  font-style: italic;
+}
+.katex .amsrm {
+  font-family: KaTeX_AMS;
+}
+.katex .mathbb,
+.katex .textbb {
+  font-family: KaTeX_AMS;
+}
+.katex .mathcal {
+  font-family: KaTeX_Caligraphic;
+}
+.katex .mathfrak,
+.katex .textfrak {
+  font-family: KaTeX_Fraktur;
+}
+.katex .mathtt {
+  font-family: KaTeX_Typewriter;
+}
+.katex .mathscr,
+.katex .textscr {
+  font-family: KaTeX_Script;
+}
+.katex .mathsf,
+.katex .textsf {
+  font-family: KaTeX_SansSerif;
+}
+.katex .mathboldsf,
+.katex .textboldsf {
+  font-family: KaTeX_SansSerif;
+  font-weight: bold;
+}
+.katex .mathitsf,
+.katex .textitsf {
+  font-family: KaTeX_SansSerif;
+  font-style: italic;
+}
+.katex .mainrm {
+  font-family: KaTeX_Main;
+  font-style: normal;
+}
+.katex .vlist-t {
+  display: inline-table;
+  table-layout: fixed;
+  border-collapse: collapse;
+}
+.katex .vlist-r {
+  display: table-row;
+}
+.katex .vlist {
+  display: table-cell;
+  vertical-align: bottom;
+  position: relative;
+}
+.katex .vlist > span {
+  display: block;
+  height: 0;
+  position: relative;
+}
+.katex .vlist > span > span {
+  display: inline-block;
+}
+.katex .vlist > span > .pstrut {
+  overflow: hidden;
+  width: 0;
+}
+.katex .vlist-t2 {
+  margin-right: -2px;
+}
+.katex .vlist-s {
+  display: table-cell;
+  vertical-align: bottom;
+  font-size: 1px;
+  width: 2px;
+  min-width: 2px;
+}
+.katex .vbox {
+  display: -ms-inline-flexbox;
+  display: inline-flex;
+  -ms-flex-direction: column;
+  flex-direction: column;
+  align-items: baseline;
+}
+.katex .hbox {
+  display: -ms-inline-flexbox;
+  display: inline-flex;
+  -ms-flex-direction: row;
+  flex-direction: row;
+  width: 100%;
+}
+.katex .thinbox {
+  display: inline-flex;
+  flex-direction: row;
+  width: 0;
+  max-width: 0;
+}
+.katex .msupsub {
+  text-align: left;
+}
+.katex .mfrac > span > span {
+  text-align: center;
+}
+.katex .mfrac .frac-line {
+  display: inline-block;
+  width: 100%;
+  border-bottom-style: solid;
+}
+.katex .mfrac .frac-line,
+.katex .overline .overline-line,
+.katex .underline .underline-line,
+.katex .hline,
+.katex .hdashline,
+.katex .rule {
+  min-height: 1px;
+}
+.katex .mspace {
+  display: inline-block;
+}
+.katex .llap,
+.katex .rlap,
+.katex .clap {
+  width: 0;
+  position: relative;
+}
+.katex .llap > .inner,
+.katex .rlap > .inner,
+.katex .clap > .inner {
+  position: absolute;
+}
+.katex .llap > .fix,
+.katex .rlap > .fix,
+.katex .clap > .fix {
+  display: inline-block;
+}
+.katex .llap > .inner {
+  right: 0;
+}
+.katex .rlap > .inner,
+.katex .clap > .inner {
+  left: 0;
+}
+.katex .clap > .inner > span {
+  margin-left: -50%;
+  margin-right: 50%;
+}
+.katex .rule {
+  display: inline-block;
+  border: solid 0;
+  position: relative;
+}
+.katex .overline .overline-line,
+.katex .underline .underline-line,
+.katex .hline {
+  display: inline-block;
+  width: 100%;
+  border-bottom-style: solid;
+}
+.katex .hdashline {
+  display: inline-block;
+  width: 100%;
+  border-bottom-style: dashed;
+}
+.katex .sqrt > .root {
+  margin-left: 0.27777778em;
+  margin-right: -0.55555556em;
+}
+.katex .sizing.reset-size1.size1,
+.katex .fontsize-ensurer.reset-size1.size1 {
+  font-size: 1em;
+}
+.katex .sizing.reset-size1.size2,
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+  font-size: 1.2em;
+}
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+.katex .sizing.reset-size2.size2,
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+  font-size: 1.5em;
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+.katex .sizing.reset-size2.size7,
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+  font-size: 2em;
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+}
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+  display: inline-block;
+  min-width: 1px;
+}
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+}
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+}
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+}
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+}
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+}
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+  display: block;
+  position: absolute;
+  width: 100%;
+  height: inherit;
+  fill: currentColor;
+  stroke: currentColor;
+  fill-rule: nonzero;
+  fill-opacity: 1;
+  stroke-width: 1;
+  stroke-linecap: butt;
+  stroke-linejoin: miter;
+  stroke-miterlimit: 4;
+  stroke-dasharray: none;
+  stroke-dashoffset: 0;
+  stroke-opacity: 1;
+}
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+}
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+  border-style: none;
+  min-width: 0;
+  min-height: 0;
+  max-width: none;
+  max-height: none;
+}
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+  width: 100%;
+  display: block;
+  position: relative;
+  overflow: hidden;
+}
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+.katex .stretchy::after {
+  content: "";
+}
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+  width: 100%;
+  position: relative;
+  overflow: hidden;
+}
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+  position: absolute;
+  left: 0;
+  width: 50.2%;
+  overflow: hidden;
+}
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+}
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+  left: 0;
+  width: 25.1%;
+  overflow: hidden;
+}
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+  left: 25%;
+  width: 50%;
+  overflow: hidden;
+}
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+  position: absolute;
+  right: 0;
+  width: 25.1%;
+  overflow: hidden;
+}
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+  padding: 0 0.5em;
+}
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+.katex .mover,
+.katex .munder {
+  text-align: center;
+}
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+  padding: 0 0.3em 0 0.3em;
+}
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+.katex .fcolorbox {
+  box-sizing: border-box;
+  border: 0.04em solid;
+}
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+  padding: 0 0.2em 0 0.2em;
+}
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+  margin-left: -0.2em;
+  margin-right: -0.2em;
+}
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+  border-bottom-style: solid;
+  border-bottom-width: 0.08em;
+}
+.katex-display {
+  display: block;
+  margin: 1em 0;
+  text-align: center;
+}
+.katex-display > .katex {
+  display: block;
+  text-align: center;
+  white-space: nowrap;
+}
+.katex-display > .katex > .katex-html {
+  display: block;
+  position: relative;
+}
+.katex-display > .katex > .katex-html > .tag {
+  position: absolute;
+  right: 0;
+}
+.katex-display.leqno > .katex > .katex-html > .tag {
+  left: 0;
+  right: auto;
+}
+.katex-display.fleqn > .katex {
+  text-align: left;
+  padding-left: 2em;
+}
+
diff --git a/docs/static/katex/v0.12.0/katex.js b/docs/static/katex/v0.12.0/katex.js
new file mode 100644
index 000000000..37fb0fa89
--- /dev/null
+++ b/docs/static/katex/v0.12.0/katex.js
@@ -0,0 +1,17308 @@
+(function webpackUniversalModuleDefinition(root, factory) {
+	if(typeof exports === 'object' && typeof module === 'object')
+		module.exports = factory();
+	else if(typeof define === 'function' && define.amd)
+		define([], factory);
+	else if(typeof exports === 'object')
+		exports["katex"] = factory();
+	else
+		root["katex"] = factory();
+})((typeof self !== 'undefined' ? self : this), function() {
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+/******/ 		Object.defineProperty(ns, 'default', { enumerable: true, value: value });
+/******/ 		if(mode & 2 && typeof value != 'string') for(var key in value) __webpack_require__.d(ns, key, function(key) { return value[key]; }.bind(null, key));
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+/******/
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+/******/ 	__webpack_require__.n = function(module) {
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+/******/ 			function getDefault() { return module['default']; } :
+/******/ 			function getModuleExports() { return module; };
+/******/ 		__webpack_require__.d(getter, 'a', getter);
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+/******/
+/******/ 	// Object.prototype.hasOwnProperty.call
+/******/ 	__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
+/******/
+/******/ 	// __webpack_public_path__
+/******/ 	__webpack_require__.p = "";
+/******/
+/******/
+/******/ 	// Load entry module and return exports
+/******/ 	return __webpack_require__(__webpack_require__.s = 1);
+/******/ })
+/************************************************************************/
+/******/ ([
+/* 0 */
+/***/ (function(module, exports, __webpack_require__) {
+
+// extracted by mini-css-extract-plugin
+
+/***/ }),
+/* 1 */
+/***/ (function(module, __webpack_exports__, __webpack_require__) {
+
+"use strict";
+__webpack_require__.r(__webpack_exports__);
+
+// EXTERNAL MODULE: ./src/katex.less
+var katex = __webpack_require__(0);
+
+// CONCATENATED MODULE: ./src/SourceLocation.js
+/**
+ * Lexing or parsing positional information for error reporting.
+ * This object is immutable.
+ */
+var SourceLocation =
+/*#__PURE__*/
+function () {
+  // The + prefix indicates that these fields aren't writeable
+  // Lexer holding the input string.
+  // Start offset, zero-based inclusive.
+  // End offset, zero-based exclusive.
+  function SourceLocation(lexer, start, end) {
+    this.lexer = void 0;
+    this.start = void 0;
+    this.end = void 0;
+    this.lexer = lexer;
+    this.start = start;
+    this.end = end;
+  }
+  /**
+   * Merges two `SourceLocation`s from location providers, given they are
+   * provided in order of appearance.
+   * - Returns the first one's location if only the first is provided.
+   * - Returns a merged range of the first and the last if both are provided
+   *   and their lexers match.
+   * - Otherwise, returns null.
+   */
+
+
+  SourceLocation.range = function range(first, second) {
+    if (!second) {
+      return first && first.loc;
+    } else if (!first || !first.loc || !second.loc || first.loc.lexer !== second.loc.lexer) {
+      return null;
+    } else {
+      return new SourceLocation(first.loc.lexer, first.loc.start, second.loc.end);
+    }
+  };
+
+  return SourceLocation;
+}();
+
+
+// CONCATENATED MODULE: ./src/Token.js
+
+/**
+ * Interface required to break circular dependency between Token, Lexer, and
+ * ParseError.
+ */
+
+/**
+ * The resulting token returned from `lex`.
+ *
+ * It consists of the token text plus some position information.
+ * The position information is essentially a range in an input string,
+ * but instead of referencing the bare input string, we refer to the lexer.
+ * That way it is possible to attach extra metadata to the input string,
+ * like for example a file name or similar.
+ *
+ * The position information is optional, so it is OK to construct synthetic
+ * tokens if appropriate. Not providing available position information may
+ * lead to degraded error reporting, though.
+ */
+var Token_Token =
+/*#__PURE__*/
+function () {
+  // don't expand the token
+  // used in \noexpand
+  function Token(text, // the text of this token
+  loc) {
+    this.text = void 0;
+    this.loc = void 0;
+    this.noexpand = void 0;
+    this.treatAsRelax = void 0;
+    this.text = text;
+    this.loc = loc;
+  }
+  /**
+   * Given a pair of tokens (this and endToken), compute a `Token` encompassing
+   * the whole input range enclosed by these two.
+   */
+
+
+  var _proto = Token.prototype;
+
+  _proto.range = function range(endToken, // last token of the range, inclusive
+  text) // the text of the newly constructed token
+  {
+    return new Token(text, SourceLocation.range(this, endToken));
+  };
+
+  return Token;
+}();
+// CONCATENATED MODULE: ./src/ParseError.js
+
+
+/**
+ * This is the ParseError class, which is the main error thrown by KaTeX
+ * functions when something has gone wrong. This is used to distinguish internal
+ * errors from errors in the expression that the user provided.
+ *
+ * If possible, a caller should provide a Token or ParseNode with information
+ * about where in the source string the problem occurred.
+ */
+var ParseError = // Error position based on passed-in Token or ParseNode.
+function ParseError(message, // The error message
+token) // An object providing position information
+{
+  this.position = void 0;
+  var error = "KaTeX parse error: " + message;
+  var start;
+  var loc = token && token.loc;
+
+  if (loc && loc.start <= loc.end) {
+    // If we have the input and a position, make the error a bit fancier
+    // Get the input
+    var input = loc.lexer.input; // Prepend some information
+
+    start = loc.start;
+    var end = loc.end;
+
+    if (start === input.length) {
+      error += " at end of input: ";
+    } else {
+      error += " at position " + (start + 1) + ": ";
+    } // Underline token in question using combining underscores
+
+
+    var underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error
+
+    var left;
+
+    if (start > 15) {
+      left = "…" + input.slice(start - 15, start);
+    } else {
+      left = input.slice(0, start);
+    }
+
+    var right;
+
+    if (end + 15 < input.length) {
+      right = input.slice(end, end + 15) + "…";
+    } else {
+      right = input.slice(end);
+    }
+
+    error += left + underlined + right;
+  } // Some hackery to make ParseError a prototype of Error
+  // See http://stackoverflow.com/a/8460753
+
+
+  var self = new Error(error);
+  self.name = "ParseError"; // $FlowFixMe
+
+  self.__proto__ = ParseError.prototype; // $FlowFixMe
+
+  self.position = start;
+  return self;
+}; // $FlowFixMe More hackery
+
+
+ParseError.prototype.__proto__ = Error.prototype;
+/* harmony default export */ var src_ParseError = (ParseError);
+// CONCATENATED MODULE: ./src/utils.js
+/**
+ * This file contains a list of utility functions which are useful in other
+ * files.
+ */
+
+/**
+ * Return whether an element is contained in a list
+ */
+var contains = function contains(list, elem) {
+  return list.indexOf(elem) !== -1;
+};
+/**
+ * Provide a default value if a setting is undefined
+ * NOTE: Couldn't use `T` as the output type due to facebook/flow#5022.
+ */
+
+
+var deflt = function deflt(setting, defaultIfUndefined) {
+  return setting === undefined ? defaultIfUndefined : setting;
+}; // hyphenate and escape adapted from Facebook's React under Apache 2 license
+
+
+var uppercase = /([A-Z])/g;
+
+var hyphenate = function hyphenate(str) {
+  return str.replace(uppercase, "-$1").toLowerCase();
+};
+
+var ESCAPE_LOOKUP = {
+  "&": "&amp;",
+  ">": "&gt;",
+  "<": "&lt;",
+  "\"": "&quot;",
+  "'": "&#x27;"
+};
+var ESCAPE_REGEX = /[&><"']/g;
+/**
+ * Escapes text to prevent scripting attacks.
+ */
+
+function utils_escape(text) {
+  return String(text).replace(ESCAPE_REGEX, function (match) {
+    return ESCAPE_LOOKUP[match];
+  });
+}
+/**
+ * Sometimes we want to pull out the innermost element of a group. In most
+ * cases, this will just be the group itself, but when ordgroups and colors have
+ * a single element, we want to pull that out.
+ */
+
+
+var getBaseElem = function getBaseElem(group) {
+  if (group.type === "ordgroup") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "color") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "font") {
+    return getBaseElem(group.body);
+  } else {
+    return group;
+  }
+};
+/**
+ * TeXbook algorithms often reference "character boxes", which are simply groups
+ * with a single character in them. To decide if something is a character box,
+ * we find its innermost group, and see if it is a single character.
+ */
+
+
+var utils_isCharacterBox = function isCharacterBox(group) {
+  var baseElem = getBaseElem(group); // These are all they types of groups which hold single characters
+
+  return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom";
+};
+
+var assert = function assert(value) {
+  if (!value) {
+    throw new Error('Expected non-null, but got ' + String(value));
+  }
+
+  return value;
+};
+/**
+ * Return the protocol of a URL, or "_relative" if the URL does not specify a
+ * protocol (and thus is relative).
+ */
+
+var protocolFromUrl = function protocolFromUrl(url) {
+  var protocol = /^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(url);
+  return protocol != null ? protocol[1] : "_relative";
+};
+/* harmony default export */ var utils = ({
+  contains: contains,
+  deflt: deflt,
+  escape: utils_escape,
+  hyphenate: hyphenate,
+  getBaseElem: getBaseElem,
+  isCharacterBox: utils_isCharacterBox,
+  protocolFromUrl: protocolFromUrl
+});
+// CONCATENATED MODULE: ./src/Settings.js
+/* eslint no-console:0 */
+
+/**
+ * This is a module for storing settings passed into KaTeX. It correctly handles
+ * default settings.
+ */
+
+
+
+
+/**
+ * The main Settings object
+ *
+ * The current options stored are:
+ *  - displayMode: Whether the expression should be typeset as inline math
+ *                 (false, the default), meaning that the math starts in
+ *                 \textstyle and is placed in an inline-block); or as display
+ *                 math (true), meaning that the math starts in \displaystyle
+ *                 and is placed in a block with vertical margin.
+ */
+var Settings_Settings =
+/*#__PURE__*/
+function () {
+  function Settings(options) {
+    this.displayMode = void 0;
+    this.output = void 0;
+    this.leqno = void 0;
+    this.fleqn = void 0;
+    this.throwOnError = void 0;
+    this.errorColor = void 0;
+    this.macros = void 0;
+    this.minRuleThickness = void 0;
+    this.colorIsTextColor = void 0;
+    this.strict = void 0;
+    this.trust = void 0;
+    this.maxSize = void 0;
+    this.maxExpand = void 0;
+    this.globalGroup = void 0;
+    // allow null options
+    options = options || {};
+    this.displayMode = utils.deflt(options.displayMode, false);
+    this.output = utils.deflt(options.output, "htmlAndMathml");
+    this.leqno = utils.deflt(options.leqno, false);
+    this.fleqn = utils.deflt(options.fleqn, false);
+    this.throwOnError = utils.deflt(options.throwOnError, true);
+    this.errorColor = utils.deflt(options.errorColor, "#cc0000");
+    this.macros = options.macros || {};
+    this.minRuleThickness = Math.max(0, utils.deflt(options.minRuleThickness, 0));
+    this.colorIsTextColor = utils.deflt(options.colorIsTextColor, false);
+    this.strict = utils.deflt(options.strict, "warn");
+    this.trust = utils.deflt(options.trust, false);
+    this.maxSize = Math.max(0, utils.deflt(options.maxSize, Infinity));
+    this.maxExpand = Math.max(0, utils.deflt(options.maxExpand, 1000));
+    this.globalGroup = utils.deflt(options.globalGroup, false);
+  }
+  /**
+   * Report nonstrict (non-LaTeX-compatible) input.
+   * Can safely not be called if `this.strict` is false in JavaScript.
+   */
+
+
+  var _proto = Settings.prototype;
+
+  _proto.reportNonstrict = function reportNonstrict(errorCode, errorMsg, token) {
+    var strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      strict = strict(errorCode, errorMsg, token);
+    }
+
+    if (!strict || strict === "ignore") {
+      return;
+    } else if (strict === true || strict === "error") {
+      throw new src_ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + (errorMsg + " [" + errorCode + "]"), token);
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]"));
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]"));
+    }
+  }
+  /**
+   * Check whether to apply strict (LaTeX-adhering) behavior for unusual
+   * input (like `\\`).  Unlike `nonstrict`, will not throw an error;
+   * instead, "error" translates to a return value of `true`, while "ignore"
+   * translates to a return value of `false`.  May still print a warning:
+   * "warn" prints a warning and returns `false`.
+   * This is for the second category of `errorCode`s listed in the README.
+   */
+  ;
+
+  _proto.useStrictBehavior = function useStrictBehavior(errorCode, errorMsg, token) {
+    var strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      // But catch any exceptions thrown by function, treating them
+      // like "error".
+      try {
+        strict = strict(errorCode, errorMsg, token);
+      } catch (error) {
+        strict = "error";
+      }
+    }
+
+    if (!strict || strict === "ignore") {
+      return false;
+    } else if (strict === true || strict === "error") {
+      return true;
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]"));
+      return false;
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]"));
+      return false;
+    }
+  }
+  /**
+   * Check whether to test potentially dangerous input, and return
+   * `true` (trusted) or `false` (untrusted).  The sole argument `context`
+   * should be an object with `command` field specifying the relevant LaTeX
+   * command (as a string starting with `\`), and any other arguments, etc.
+   * If `context` has a `url` field, a `protocol` field will automatically
+   * get added by this function (changing the specified object).
+   */
+  ;
+
+  _proto.isTrusted = function isTrusted(context) {
+    if (context.url && !context.protocol) {
+      context.protocol = utils.protocolFromUrl(context.url);
+    }
+
+    var trust = typeof this.trust === "function" ? this.trust(context) : this.trust;
+    return Boolean(trust);
+  };
+
+  return Settings;
+}();
+
+
+// CONCATENATED MODULE: ./src/Style.js
+/**
+ * This file contains information and classes for the various kinds of styles
+ * used in TeX. It provides a generic `Style` class, which holds information
+ * about a specific style. It then provides instances of all the different kinds
+ * of styles possible, and provides functions to move between them and get
+ * information about them.
+ */
+
+/**
+ * The main style class. Contains a unique id for the style, a size (which is
+ * the same for cramped and uncramped version of a style), and a cramped flag.
+ */
+var Style =
+/*#__PURE__*/
+function () {
+  function Style(id, size, cramped) {
+    this.id = void 0;
+    this.size = void 0;
+    this.cramped = void 0;
+    this.id = id;
+    this.size = size;
+    this.cramped = cramped;
+  }
+  /**
+   * Get the style of a superscript given a base in the current style.
+   */
+
+
+  var _proto = Style.prototype;
+
+  _proto.sup = function sup() {
+    return Style_styles[_sup[this.id]];
+  }
+  /**
+   * Get the style of a subscript given a base in the current style.
+   */
+  ;
+
+  _proto.sub = function sub() {
+    return Style_styles[_sub[this.id]];
+  }
+  /**
+   * Get the style of a fraction numerator given the fraction in the current
+   * style.
+   */
+  ;
+
+  _proto.fracNum = function fracNum() {
+    return Style_styles[_fracNum[this.id]];
+  }
+  /**
+   * Get the style of a fraction denominator given the fraction in the current
+   * style.
+   */
+  ;
+
+  _proto.fracDen = function fracDen() {
+    return Style_styles[_fracDen[this.id]];
+  }
+  /**
+   * Get the cramped version of a style (in particular, cramping a cramped style
+   * doesn't change the style).
+   */
+  ;
+
+  _proto.cramp = function cramp() {
+    return Style_styles[_cramp[this.id]];
+  }
+  /**
+   * Get a text or display version of this style.
+   */
+  ;
+
+  _proto.text = function text() {
+    return Style_styles[_text[this.id]];
+  }
+  /**
+   * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
+   */
+  ;
+
+  _proto.isTight = function isTight() {
+    return this.size >= 2;
+  };
+
+  return Style;
+}(); // Export an interface for type checking, but don't expose the implementation.
+// This way, no more styles can be generated.
+
+
+// IDs of the different styles
+var D = 0;
+var Dc = 1;
+var T = 2;
+var Tc = 3;
+var S = 4;
+var Sc = 5;
+var SS = 6;
+var SSc = 7; // Instances of the different styles
+
+var Style_styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another
+
+var _sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
+var _sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
+var _fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
+var _fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
+var _cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
+var _text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles.
+
+/* harmony default export */ var src_Style = ({
+  DISPLAY: Style_styles[D],
+  TEXT: Style_styles[T],
+  SCRIPT: Style_styles[S],
+  SCRIPTSCRIPT: Style_styles[SS]
+});
+// CONCATENATED MODULE: ./src/unicodeScripts.js
+/*
+ * This file defines the Unicode scripts and script families that we
+ * support. To add new scripts or families, just add a new entry to the
+ * scriptData array below. Adding scripts to the scriptData array allows
+ * characters from that script to appear in \text{} environments.
+ */
+
+/**
+ * Each script or script family has a name and an array of blocks.
+ * Each block is an array of two numbers which specify the start and
+ * end points (inclusive) of a block of Unicode codepoints.
+ */
+
+/**
+ * Unicode block data for the families of scripts we support in \text{}.
+ * Scripts only need to appear here if they do not have font metrics.
+ */
+var scriptData = [{
+  // Latin characters beyond the Latin-1 characters we have metrics for.
+  // Needed for Czech, Hungarian and Turkish text, for example.
+  name: 'latin',
+  blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B
+  [0x0300, 0x036f]]
+}, {
+  // The Cyrillic script used by Russian and related languages.
+  // A Cyrillic subset used to be supported as explicitly defined
+  // symbols in symbols.js
+  name: 'cyrillic',
+  blocks: [[0x0400, 0x04ff]]
+}, {
+  // The Brahmic scripts of South and Southeast Asia
+  // Devanagari (0900–097F)
+  // Bengali (0980–09FF)
+  // Gurmukhi (0A00–0A7F)
+  // Gujarati (0A80–0AFF)
+  // Oriya (0B00–0B7F)
+  // Tamil (0B80–0BFF)
+  // Telugu (0C00–0C7F)
+  // Kannada (0C80–0CFF)
+  // Malayalam (0D00–0D7F)
+  // Sinhala (0D80–0DFF)
+  // Thai (0E00–0E7F)
+  // Lao (0E80–0EFF)
+  // Tibetan (0F00–0FFF)
+  // Myanmar (1000–109F)
+  name: 'brahmic',
+  blocks: [[0x0900, 0x109F]]
+}, {
+  name: 'georgian',
+  blocks: [[0x10A0, 0x10ff]]
+}, {
+  // Chinese and Japanese.
+  // The "k" in cjk is for Korean, but we've separated Korean out
+  name: "cjk",
+  blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana
+  [0x4E00, 0x9FAF], // CJK ideograms
+  [0xFF00, 0xFF60]]
+}, {
+  // Korean
+  name: 'hangul',
+  blocks: [[0xAC00, 0xD7AF]]
+}];
+/**
+ * Given a codepoint, return the name of the script or script family
+ * it is from, or null if it is not part of a known block
+ */
+
+function scriptFromCodepoint(codepoint) {
+  for (var i = 0; i < scriptData.length; i++) {
+    var script = scriptData[i];
+
+    for (var _i = 0; _i < script.blocks.length; _i++) {
+      var block = script.blocks[_i];
+
+      if (codepoint >= block[0] && codepoint <= block[1]) {
+        return script.name;
+      }
+    }
+  }
+
+  return null;
+}
+/**
+ * A flattened version of all the supported blocks in a single array.
+ * This is an optimization to make supportedCodepoint() fast.
+ */
+
+var allBlocks = [];
+scriptData.forEach(function (s) {
+  return s.blocks.forEach(function (b) {
+    return allBlocks.push.apply(allBlocks, b);
+  });
+});
+/**
+ * Given a codepoint, return true if it falls within one of the
+ * scripts or script families defined above and false otherwise.
+ *
+ * Micro benchmarks shows that this is faster than
+ * /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test()
+ * in Firefox, Chrome and Node.
+ */
+
+function supportedCodepoint(codepoint) {
+  for (var i = 0; i < allBlocks.length; i += 2) {
+    if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) {
+      return true;
+    }
+  }
+
+  return false;
+}
+// CONCATENATED MODULE: ./src/svgGeometry.js
+/**
+ * This file provides support to domTree.js and delimiter.js.
+ * It's a storehouse of path geometry for SVG images.
+ */
+// In all paths below, the viewBox-to-em scale is 1000:1.
+var hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping.
+// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option.
+// Think of variable extraViniculum as two detours in the SVG path.
+// The detour begins at the lower left of the area labeled extraViniculum below.
+// The detour proceeds one extraViniculum distance up and slightly to the right,
+// displacing the radiused corner between surd and viniculum. The radius is
+// traversed as usual, then the detour resumes. It goes right, to the end of
+// the very long viniculumn, then down one extraViniculum distance,
+// after which it resumes regular path geometry for the radical.
+
+/*                                                  viniculum
+                                                   /
+         /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum
+        / █████████████████████←0.04em (40 unit) std viniculum thickness
+       / /
+      / /
+     / /\
+    / / surd
+*/
+
+var sqrtMain = function sqrtMain(extraViniculum, hLinePad) {
+  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
+  return "M95," + (622 + extraViniculum + hLinePad) + "\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl" + extraViniculum / 2.075 + " -" + extraViniculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraViniculum) + "H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM" + (834 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) {
+  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
+  return "M263," + (601 + extraViniculum + hLinePad) + "c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl" + extraViniculum / 2.084 + " -" + extraViniculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraViniculum) + "H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) {
+  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
+  return "M983 " + (10 + extraViniculum + hLinePad) + "\nl" + extraViniculum / 3.13 + " -" + extraViniculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraViniculum) + "\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) {
+  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
+  return "M424," + (2398 + extraViniculum + hLinePad) + "\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl" + extraViniculum / 4.223 + " -" + extraViniculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraViniculum) + "H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M" + (1001 + extraViniculum) + " " + hLinePad + "\nh400000v" + (40 + extraViniculum) + "h-400000z";
+};
+
+var sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) {
+  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
+  return "M473," + (2713 + extraViniculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraViniculum / 5.298 + " -" + extraViniculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraViniculum) + "H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "H1017.7z";
+};
+
+var sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) {
+  // sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular
+  // One path edge has a variable length. It runs vertically from the viniculumn
+  // to a point near (14 units) the bottom of the surd. The viniculum
+  // is normally 40 units thick. So the length of the line in question is:
+  var vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum;
+  return "M702 " + (extraViniculum + hLinePad) + "H400000" + (40 + extraViniculum) + "\nH742v" + vertSegment + "l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 " + hLinePad + "H400000v" + (40 + extraViniculum) + "H742z";
+};
+
+var sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) {
+  extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox.
+
+  var path = "";
+
+  switch (size) {
+    case "sqrtMain":
+      path = sqrtMain(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize1":
+      path = sqrtSize1(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize2":
+      path = sqrtSize2(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize3":
+      path = sqrtSize3(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize4":
+      path = sqrtSize4(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtTall":
+      path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight);
+  }
+
+  return path;
+};
+var svgGeometry_path = {
+  // Two paths that cover gaps in built-up parentheses.
+  leftParenInner: "M291 0 H417 V300 H291 z",
+  rightParenInner: "M457 0 H583 V300 H457 z",
+  // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
+  doubleleftarrow: "M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",
+  // doublerightarrow is from glyph U+21D2 in font KaTeX Main
+  doublerightarrow: "M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",
+  // leftarrow is from glyph U+2190 in font KaTeX Main
+  leftarrow: "M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",
+  // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular
+  leftbrace: "M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",
+  leftbraceunder: "M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",
+  // overgroup is from the MnSymbol package (public domain)
+  leftgroup: "M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",
+  leftgroupunder: "M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",
+  // Harpoons are from glyph U+21BD in font KaTeX Main
+  leftharpoon: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",
+  leftharpoonplus: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",
+  leftharpoondown: "M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",
+  leftharpoondownplus: "M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",
+  // hook is from glyph U+21A9 in font KaTeX Main
+  lefthook: "M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",
+  leftlinesegment: "M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",
+  leftmapsto: "M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",
+  // tofrom is from glyph U+21C4 in font KaTeX AMS Regular
+  leftToFrom: "M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",
+  longequal: "M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",
+  midbrace: "M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",
+  midbraceunder: "M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",
+  oiintSize1: "M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",
+  oiintSize2: "M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",
+  oiiintSize1: "M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",
+  oiiintSize2: "M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",
+  rightarrow: "M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",
+  rightbrace: "M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",
+  rightbraceunder: "M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",
+  rightgroup: "M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",
+  rightgroupunder: "M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",
+  rightharpoon: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",
+  rightharpoonplus: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",
+  rightharpoondown: "M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",
+  rightharpoondownplus: "M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",
+  righthook: "M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",
+  rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",
+  rightToFrom: "M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",
+  // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
+  twoheadleftarrow: "M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",
+  twoheadrightarrow: "M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",
+  // tilde1 is a modified version of a glyph from the MnSymbol package
+  tilde1: "M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",
+  // ditto tilde2, tilde3, & tilde4
+  tilde2: "M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",
+  tilde3: "M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",
+  tilde4: "M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",
+  // vec is from glyph U+20D7 in font KaTeX Main
+  vec: "M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",
+  // widehat1 is a modified version of a glyph from the MnSymbol package
+  widehat1: "M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",
+  // ditto widehat2, widehat3, & widehat4
+  widehat2: "M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
+  widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
+  widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
+  // widecheck paths are all inverted versions of widehat
+  widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",
+  widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
+  widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
+  widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
+  // The next ten paths support reaction arrows from the mhchem package.
+  // Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX
+  // baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main
+  baraboveleftarrow: "M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",
+  // rightarrowabovebar is mostly from glyph U+2192, KaTeX Main
+  rightarrowabovebar: "M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",
+  // The short left harpoon has 0.5em (i.e. 500 units) kern on the left end.
+  // Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em
+  baraboveshortleftharpoon: "M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",
+  rightharpoonaboveshortbar: "M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",
+  shortbaraboveleftharpoon: "M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",
+  shortrightharpoonabovebar: "M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"
+};
+// CONCATENATED MODULE: ./src/tree.js
+
+
+/**
+ * This node represents a document fragment, which contains elements, but when
+ * placed into the DOM doesn't have any representation itself. It only contains
+ * children and doesn't have any DOM node properties.
+ */
+var tree_DocumentFragment =
+/*#__PURE__*/
+function () {
+  // HtmlDomNode
+  // Never used; needed for satisfying interface.
+  function DocumentFragment(children) {
+    this.children = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.children = children;
+    this.classes = [];
+    this.height = 0;
+    this.depth = 0;
+    this.maxFontSize = 0;
+    this.style = {};
+  }
+
+  var _proto = DocumentFragment.prototype;
+
+  _proto.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /** Convert the fragment into a node. */
+  ;
+
+  _proto.toNode = function toNode() {
+    var frag = document.createDocumentFragment();
+
+    for (var i = 0; i < this.children.length; i++) {
+      frag.appendChild(this.children[i].toNode());
+    }
+
+    return frag;
+  }
+  /** Convert the fragment into HTML markup. */
+  ;
+
+  _proto.toMarkup = function toMarkup() {
+    var markup = ""; // Simply concatenate the markup for the children together.
+
+    for (var i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText. Applies to
+   * MathDomNode's only.
+   */
+  ;
+
+  _proto.toText = function toText() {
+    // To avoid this, we would subclass documentFragment separately for
+    // MathML, but polyfills for subclassing is expensive per PR 1469.
+    // $FlowFixMe: Only works for ChildType = MathDomNode.
+    var toText = function toText(child) {
+      return child.toText();
+    };
+
+    return this.children.map(toText).join("");
+  };
+
+  return DocumentFragment;
+}();
+// CONCATENATED MODULE: ./src/domTree.js
+/**
+ * These objects store the data about the DOM nodes we create, as well as some
+ * extra data. They can then be transformed into real DOM nodes with the
+ * `toNode` function or HTML markup using `toMarkup`. They are useful for both
+ * storing extra properties on the nodes, as well as providing a way to easily
+ * work with the DOM.
+ *
+ * Similar functions for working with MathML nodes exist in mathMLTree.js.
+ *
+ * TODO: refactor `span` and `anchor` into common superclass when
+ * target environments support class inheritance
+ */
+
+
+
+
+
+/**
+ * Create an HTML className based on a list of classes. In addition to joining
+ * with spaces, we also remove empty classes.
+ */
+var createClass = function createClass(classes) {
+  return classes.filter(function (cls) {
+    return cls;
+  }).join(" ");
+};
+
+var initNode = function initNode(classes, options, style) {
+  this.classes = classes || [];
+  this.attributes = {};
+  this.height = 0;
+  this.depth = 0;
+  this.maxFontSize = 0;
+  this.style = style || {};
+
+  if (options) {
+    if (options.style.isTight()) {
+      this.classes.push("mtight");
+    }
+
+    var color = options.getColor();
+
+    if (color) {
+      this.style.color = color;
+    }
+  }
+};
+/**
+ * Convert into an HTML node
+ */
+
+
+var _toNode = function toNode(tagName) {
+  var node = document.createElement(tagName); // Apply the class
+
+  node.className = createClass(this.classes); // Apply inline styles
+
+  for (var style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      // $FlowFixMe Flow doesn't seem to understand span.style's type.
+      node.style[style] = this.style[style];
+    }
+  } // Apply attributes
+
+
+  for (var attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      node.setAttribute(attr, this.attributes[attr]);
+    }
+  } // Append the children, also as HTML nodes
+
+
+  for (var i = 0; i < this.children.length; i++) {
+    node.appendChild(this.children[i].toNode());
+  }
+
+  return node;
+};
+/**
+ * Convert into an HTML markup string
+ */
+
+
+var _toMarkup = function toMarkup(tagName) {
+  var markup = "<" + tagName; // Add the class
+
+  if (this.classes.length) {
+    markup += " class=\"" + utils.escape(createClass(this.classes)) + "\"";
+  }
+
+  var styles = ""; // Add the styles, after hyphenation
+
+  for (var style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+    }
+  }
+
+  if (styles) {
+    markup += " style=\"" + utils.escape(styles) + "\"";
+  } // Add the attributes
+
+
+  for (var attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      markup += " " + attr + "=\"" + utils.escape(this.attributes[attr]) + "\"";
+    }
+  }
+
+  markup += ">"; // Add the markup of the children, also as markup
+
+  for (var i = 0; i < this.children.length; i++) {
+    markup += this.children[i].toMarkup();
+  }
+
+  markup += "</" + tagName + ">";
+  return markup;
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+// This type does not include all CSS properties. Additional properties should
+// be added as needed.
+
+
+/**
+ * This node represents a span node, with a className, a list of children, and
+ * an inline style. It also contains information about its height, depth, and
+ * maxFontSize.
+ *
+ * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan
+ * otherwise. This typesafety is important when HTML builders access a span's
+ * children.
+ */
+var domTree_Span =
+/*#__PURE__*/
+function () {
+  function Span(classes, children, options, style) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options, style);
+    this.children = children || [];
+  }
+  /**
+   * Sets an arbitrary attribute on the span. Warning: use this wisely. Not
+   * all browsers support attributes the same, and having too many custom
+   * attributes is probably bad.
+   */
+
+
+  var _proto = Span.prototype;
+
+  _proto.setAttribute = function setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  };
+
+  _proto.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  };
+
+  _proto.toNode = function toNode() {
+    return _toNode.call(this, "span");
+  };
+
+  _proto.toMarkup = function toMarkup() {
+    return _toMarkup.call(this, "span");
+  };
+
+  return Span;
+}();
+/**
+ * This node represents an anchor (<a>) element with a hyperlink.  See `span`
+ * for further details.
+ */
+
+var domTree_Anchor =
+/*#__PURE__*/
+function () {
+  function Anchor(href, classes, children, options) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options);
+    this.children = children || [];
+    this.setAttribute('href', href);
+  }
+
+  var _proto2 = Anchor.prototype;
+
+  _proto2.setAttribute = function setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  };
+
+  _proto2.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  };
+
+  _proto2.toNode = function toNode() {
+    return _toNode.call(this, "a");
+  };
+
+  _proto2.toMarkup = function toMarkup() {
+    return _toMarkup.call(this, "a");
+  };
+
+  return Anchor;
+}();
+/**
+ * This node represents an image embed (<img>) element.
+ */
+
+var domTree_Img =
+/*#__PURE__*/
+function () {
+  function Img(src, alt, style) {
+    this.src = void 0;
+    this.alt = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.alt = alt;
+    this.src = src;
+    this.classes = ["mord"];
+    this.style = style;
+  }
+
+  var _proto3 = Img.prototype;
+
+  _proto3.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  };
+
+  _proto3.toNode = function toNode() {
+    var node = document.createElement("img");
+    node.src = this.src;
+    node.alt = this.alt;
+    node.className = "mord"; // Apply inline styles
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        // $FlowFixMe
+        node.style[style] = this.style[style];
+      }
+    }
+
+    return node;
+  };
+
+  _proto3.toMarkup = function toMarkup() {
+    var markup = "<img  src='" + this.src + " 'alt='" + this.alt + "' "; // Add the styles, after hyphenation
+
+    var styles = "";
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+      }
+    }
+
+    if (styles) {
+      markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    markup += "'/>";
+    return markup;
+  };
+
+  return Img;
+}();
+var iCombinations = {
+  'î': "\u0131\u0302",
+  'ï': "\u0131\u0308",
+  'í': "\u0131\u0301",
+  // 'ī': '\u0131\u0304', // enable when we add Extended Latin
+  'ì': "\u0131\u0300"
+};
+/**
+ * A symbol node contains information about a single symbol. It either renders
+ * to a single text node, or a span with a single text node in it, depending on
+ * whether it has CSS classes, styles, or needs italic correction.
+ */
+
+var domTree_SymbolNode =
+/*#__PURE__*/
+function () {
+  function SymbolNode(text, height, depth, italic, skew, width, classes, style) {
+    this.text = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.italic = void 0;
+    this.skew = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.classes = void 0;
+    this.style = void 0;
+    this.text = text;
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.italic = italic || 0;
+    this.skew = skew || 0;
+    this.width = width || 0;
+    this.classes = classes || [];
+    this.style = style || {};
+    this.maxFontSize = 0; // Mark text from non-Latin scripts with specific classes so that we
+    // can specify which fonts to use.  This allows us to render these
+    // characters with a serif font in situations where the browser would
+    // either default to a sans serif or render a placeholder character.
+    // We use CSS class names like cjk_fallback, hangul_fallback and
+    // brahmic_fallback. See ./unicodeScripts.js for the set of possible
+    // script names
+
+    var script = scriptFromCodepoint(this.text.charCodeAt(0));
+
+    if (script) {
+      this.classes.push(script + "_fallback");
+    }
+
+    if (/[îïíì]/.test(this.text)) {
+      // add ī when we add Extended Latin
+      this.text = iCombinations[this.text];
+    }
+  }
+
+  var _proto4 = SymbolNode.prototype;
+
+  _proto4.hasClass = function hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /**
+   * Creates a text node or span from a symbol node. Note that a span is only
+   * created if it is needed.
+   */
+  ;
+
+  _proto4.toNode = function toNode() {
+    var node = document.createTextNode(this.text);
+    var span = null;
+
+    if (this.italic > 0) {
+      span = document.createElement("span");
+      span.style.marginRight = this.italic + "em";
+    }
+
+    if (this.classes.length > 0) {
+      span = span || document.createElement("span");
+      span.className = createClass(this.classes);
+    }
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type.
+
+        span.style[style] = this.style[style];
+      }
+    }
+
+    if (span) {
+      span.appendChild(node);
+      return span;
+    } else {
+      return node;
+    }
+  }
+  /**
+   * Creates markup for a symbol node.
+   */
+  ;
+
+  _proto4.toMarkup = function toMarkup() {
+    // TODO(alpert): More duplication than I'd like from
+    // span.prototype.toMarkup and symbolNode.prototype.toNode...
+    var needsSpan = false;
+    var markup = "<span";
+
+    if (this.classes.length) {
+      needsSpan = true;
+      markup += " class=\"";
+      markup += utils.escape(createClass(this.classes));
+      markup += "\"";
+    }
+
+    var styles = "";
+
+    if (this.italic > 0) {
+      styles += "margin-right:" + this.italic + "em;";
+    }
+
+    for (var style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+      }
+    }
+
+    if (styles) {
+      needsSpan = true;
+      markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    var escaped = utils.escape(this.text);
+
+    if (needsSpan) {
+      markup += ">";
+      markup += escaped;
+      markup += "</span>";
+      return markup;
+    } else {
+      return escaped;
+    }
+  };
+
+  return SymbolNode;
+}();
+/**
+ * SVG nodes are used to render stretchy wide elements.
+ */
+
+var SvgNode =
+/*#__PURE__*/
+function () {
+  function SvgNode(children, attributes) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.children = children || [];
+    this.attributes = attributes || {};
+  }
+
+  var _proto5 = SvgNode.prototype;
+
+  _proto5.toNode = function toNode() {
+    var svgNS = "http://www.w3.org/2000/svg";
+    var node = document.createElementNS(svgNS, "svg"); // Apply attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (var i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  };
+
+  _proto5.toMarkup = function toMarkup() {
+    var markup = "<svg"; // Apply attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "='" + this.attributes[attr] + "'";
+      }
+    }
+
+    markup += ">";
+
+    for (var i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</svg>";
+    return markup;
+  };
+
+  return SvgNode;
+}();
+var domTree_PathNode =
+/*#__PURE__*/
+function () {
+  function PathNode(pathName, alternate) {
+    this.pathName = void 0;
+    this.alternate = void 0;
+    this.pathName = pathName;
+    this.alternate = alternate; // Used only for \sqrt
+  }
+
+  var _proto6 = PathNode.prototype;
+
+  _proto6.toNode = function toNode() {
+    var svgNS = "http://www.w3.org/2000/svg";
+    var node = document.createElementNS(svgNS, "path");
+
+    if (this.alternate) {
+      node.setAttribute("d", this.alternate);
+    } else {
+      node.setAttribute("d", svgGeometry_path[this.pathName]);
+    }
+
+    return node;
+  };
+
+  _proto6.toMarkup = function toMarkup() {
+    if (this.alternate) {
+      return "<path d='" + this.alternate + "'/>";
+    } else {
+      return "<path d='" + svgGeometry_path[this.pathName] + "'/>";
+    }
+  };
+
+  return PathNode;
+}();
+var LineNode =
+/*#__PURE__*/
+function () {
+  function LineNode(attributes) {
+    this.attributes = void 0;
+    this.attributes = attributes || {};
+  }
+
+  var _proto7 = LineNode.prototype;
+
+  _proto7.toNode = function toNode() {
+    var svgNS = "http://www.w3.org/2000/svg";
+    var node = document.createElementNS(svgNS, "line"); // Apply attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    return node;
+  };
+
+  _proto7.toMarkup = function toMarkup() {
+    var markup = "<line";
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "='" + this.attributes[attr] + "'";
+      }
+    }
+
+    markup += "/>";
+    return markup;
+  };
+
+  return LineNode;
+}();
+function assertSymbolDomNode(group) {
+  if (group instanceof domTree_SymbolNode) {
+    return group;
+  } else {
+    throw new Error("Expected symbolNode but got " + String(group) + ".");
+  }
+}
+function assertSpan(group) {
+  if (group instanceof domTree_Span) {
+    return group;
+  } else {
+    throw new Error("Expected span<HtmlDomNode> but got " + String(group) + ".");
+  }
+}
+// CONCATENATED MODULE: ./submodules/katex-fonts/fontMetricsData.js
+// This file is GENERATED by buildMetrics.sh. DO NOT MODIFY.
+/* harmony default export */ var fontMetricsData = ({
+  "AMS-Regular": {
+    "32": [0, 0, 0, 0, 0.25],
+    "65": [0, 0.68889, 0, 0, 0.72222],
+    "66": [0, 0.68889, 0, 0, 0.66667],
+    "67": [0, 0.68889, 0, 0, 0.72222],
+    "68": [0, 0.68889, 0, 0, 0.72222],
+    "69": [0, 0.68889, 0, 0, 0.66667],
+    "70": [0, 0.68889, 0, 0, 0.61111],
+    "71": [0, 0.68889, 0, 0, 0.77778],
+    "72": [0, 0.68889, 0, 0, 0.77778],
+    "73": [0, 0.68889, 0, 0, 0.38889],
+    "74": [0.16667, 0.68889, 0, 0, 0.5],
+    "75": [0, 0.68889, 0, 0, 0.77778],
+    "76": [0, 0.68889, 0, 0, 0.66667],
+    "77": [0, 0.68889, 0, 0, 0.94445],
+    "78": [0, 0.68889, 0, 0, 0.72222],
+    "79": [0.16667, 0.68889, 0, 0, 0.77778],
+    "80": [0, 0.68889, 0, 0, 0.61111],
+    "81": [0.16667, 0.68889, 0, 0, 0.77778],
+    "82": [0, 0.68889, 0, 0, 0.72222],
+    "83": [0, 0.68889, 0, 0, 0.55556],
+    "84": [0, 0.68889, 0, 0, 0.66667],
+    "85": [0, 0.68889, 0, 0, 0.72222],
+    "86": [0, 0.68889, 0, 0, 0.72222],
+    "87": [0, 0.68889, 0, 0, 1.0],
+    "88": [0, 0.68889, 0, 0, 0.72222],
+    "89": [0, 0.68889, 0, 0, 0.72222],
+    "90": [0, 0.68889, 0, 0, 0.66667],
+    "107": [0, 0.68889, 0, 0, 0.55556],
+    "160": [0, 0, 0, 0, 0.25],
+    "165": [0, 0.675, 0.025, 0, 0.75],
+    "174": [0.15559, 0.69224, 0, 0, 0.94666],
+    "240": [0, 0.68889, 0, 0, 0.55556],
+    "295": [0, 0.68889, 0, 0, 0.54028],
+    "710": [0, 0.825, 0, 0, 2.33334],
+    "732": [0, 0.9, 0, 0, 2.33334],
+    "770": [0, 0.825, 0, 0, 2.33334],
+    "771": [0, 0.9, 0, 0, 2.33334],
+    "989": [0.08167, 0.58167, 0, 0, 0.77778],
+    "1008": [0, 0.43056, 0.04028, 0, 0.66667],
+    "8245": [0, 0.54986, 0, 0, 0.275],
+    "8463": [0, 0.68889, 0, 0, 0.54028],
+    "8487": [0, 0.68889, 0, 0, 0.72222],
+    "8498": [0, 0.68889, 0, 0, 0.55556],
+    "8502": [0, 0.68889, 0, 0, 0.66667],
+    "8503": [0, 0.68889, 0, 0, 0.44445],
+    "8504": [0, 0.68889, 0, 0, 0.66667],
+    "8513": [0, 0.68889, 0, 0, 0.63889],
+    "8592": [-0.03598, 0.46402, 0, 0, 0.5],
+    "8594": [-0.03598, 0.46402, 0, 0, 0.5],
+    "8602": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8603": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8606": [0.01354, 0.52239, 0, 0, 1.0],
+    "8608": [0.01354, 0.52239, 0, 0, 1.0],
+    "8610": [0.01354, 0.52239, 0, 0, 1.11111],
+    "8611": [0.01354, 0.52239, 0, 0, 1.11111],
+    "8619": [0, 0.54986, 0, 0, 1.0],
+    "8620": [0, 0.54986, 0, 0, 1.0],
+    "8621": [-0.13313, 0.37788, 0, 0, 1.38889],
+    "8622": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8624": [0, 0.69224, 0, 0, 0.5],
+    "8625": [0, 0.69224, 0, 0, 0.5],
+    "8630": [0, 0.43056, 0, 0, 1.0],
+    "8631": [0, 0.43056, 0, 0, 1.0],
+    "8634": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8635": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8638": [0.19444, 0.69224, 0, 0, 0.41667],
+    "8639": [0.19444, 0.69224, 0, 0, 0.41667],
+    "8642": [0.19444, 0.69224, 0, 0, 0.41667],
+    "8643": [0.19444, 0.69224, 0, 0, 0.41667],
+    "8644": [0.1808, 0.675, 0, 0, 1.0],
+    "8646": [0.1808, 0.675, 0, 0, 1.0],
+    "8647": [0.1808, 0.675, 0, 0, 1.0],
+    "8648": [0.19444, 0.69224, 0, 0, 0.83334],
+    "8649": [0.1808, 0.675, 0, 0, 1.0],
+    "8650": [0.19444, 0.69224, 0, 0, 0.83334],
+    "8651": [0.01354, 0.52239, 0, 0, 1.0],
+    "8652": [0.01354, 0.52239, 0, 0, 1.0],
+    "8653": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8654": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8655": [-0.13313, 0.36687, 0, 0, 1.0],
+    "8666": [0.13667, 0.63667, 0, 0, 1.0],
+    "8667": [0.13667, 0.63667, 0, 0, 1.0],
+    "8669": [-0.13313, 0.37788, 0, 0, 1.0],
+    "8672": [-0.064, 0.437, 0, 0, 1.334],
+    "8674": [-0.064, 0.437, 0, 0, 1.334],
+    "8705": [0, 0.825, 0, 0, 0.5],
+    "8708": [0, 0.68889, 0, 0, 0.55556],
+    "8709": [0.08167, 0.58167, 0, 0, 0.77778],
+    "8717": [0, 0.43056, 0, 0, 0.42917],
+    "8722": [-0.03598, 0.46402, 0, 0, 0.5],
+    "8724": [0.08198, 0.69224, 0, 0, 0.77778],
+    "8726": [0.08167, 0.58167, 0, 0, 0.77778],
+    "8733": [0, 0.69224, 0, 0, 0.77778],
+    "8736": [0, 0.69224, 0, 0, 0.72222],
+    "8737": [0, 0.69224, 0, 0, 0.72222],
+    "8738": [0.03517, 0.52239, 0, 0, 0.72222],
+    "8739": [0.08167, 0.58167, 0, 0, 0.22222],
+    "8740": [0.25142, 0.74111, 0, 0, 0.27778],
+    "8741": [0.08167, 0.58167, 0, 0, 0.38889],
+    "8742": [0.25142, 0.74111, 0, 0, 0.5],
+    "8756": [0, 0.69224, 0, 0, 0.66667],
+    "8757": [0, 0.69224, 0, 0, 0.66667],
+    "8764": [-0.13313, 0.36687, 0, 0, 0.77778],
+    "8765": [-0.13313, 0.37788, 0, 0, 0.77778],
+    "8769": [-0.13313, 0.36687, 0, 0, 0.77778],
+    "8770": [-0.03625, 0.46375, 0, 0, 0.77778],
+    "8774": [0.30274, 0.79383, 0, 0, 0.77778],
+    "8776": [-0.01688, 0.48312, 0, 0, 0.77778],
+    "8778": [0.08167, 0.58167, 0, 0, 0.77778],
+    "8782": [0.06062, 0.54986, 0, 0, 0.77778],
+    "8783": [0.06062, 0.54986, 0, 0, 0.77778],
+    "8785": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8786": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8787": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8790": [0, 0.69224, 0, 0, 0.77778],
+    "8791": [0.22958, 0.72958, 0, 0, 0.77778],
+    "8796": [0.08198, 0.91667, 0, 0, 0.77778],
+    "8806": [0.25583, 0.75583, 0, 0, 0.77778],
+    "8807": [0.25583, 0.75583, 0, 0, 0.77778],
+    "8808": [0.25142, 0.75726, 0, 0, 0.77778],
+    "8809": [0.25142, 0.75726, 0, 0, 0.77778],
+    "8812": [0.25583, 0.75583, 0, 0, 0.5],
+    "8814": [0.20576, 0.70576, 0, 0, 0.77778],
+    "8815": [0.20576, 0.70576, 0, 0, 0.77778],
+    "8816": [0.30274, 0.79383, 0, 0, 0.77778],
+    "8817": [0.30274, 0.79383, 0, 0, 0.77778],
+    "8818": [0.22958, 0.72958, 0, 0, 0.77778],
+    "8819": [0.22958, 0.72958, 0, 0, 0.77778],
+    "8822": [0.1808, 0.675, 0, 0, 0.77778],
+    "8823": [0.1808, 0.675, 0, 0, 0.77778],
+    "8828": [0.13667, 0.63667, 0, 0, 0.77778],
+    "8829": [0.13667, 0.63667, 0, 0, 0.77778],
+    "8830": [0.22958, 0.72958, 0, 0, 0.77778],
+    "8831": [0.22958, 0.72958, 0, 0, 0.77778],
+    "8832": [0.20576, 0.70576, 0, 0, 0.77778],
+    "8833": [0.20576, 0.70576, 0, 0, 0.77778],
+    "8840": [0.30274, 0.79383, 0, 0, 0.77778],
+    "8841": [0.30274, 0.79383, 0, 0, 0.77778],
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+    "8843": [0.13597, 0.63597, 0, 0, 0.77778],
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+    "8848": [0.03517, 0.54986, 0, 0, 0.77778],
+    "8858": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8859": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8861": [0.08198, 0.58198, 0, 0, 0.77778],
+    "8862": [0, 0.675, 0, 0, 0.77778],
+    "8863": [0, 0.675, 0, 0, 0.77778],
+    "8864": [0, 0.675, 0, 0, 0.77778],
+    "8865": [0, 0.675, 0, 0, 0.77778],
+    "8872": [0, 0.69224, 0, 0, 0.61111],
+    "8873": [0, 0.69224, 0, 0, 0.72222],
+    "8874": [0, 0.69224, 0, 0, 0.88889],
+    "8876": [0, 0.68889, 0, 0, 0.61111],
+    "8877": [0, 0.68889, 0, 0, 0.61111],
+    "8878": [0, 0.68889, 0, 0, 0.72222],
+    "8879": [0, 0.68889, 0, 0, 0.72222],
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+    "8883": [0.03517, 0.54986, 0, 0, 0.77778],
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+    "915": [0, 0.61111, 0, 0, 0.525],
+    "916": [0, 0.61111, 0, 0, 0.525],
+    "920": [0, 0.61111, 0, 0, 0.525],
+    "923": [0, 0.61111, 0, 0, 0.525],
+    "926": [0, 0.61111, 0, 0, 0.525],
+    "928": [0, 0.61111, 0, 0, 0.525],
+    "931": [0, 0.61111, 0, 0, 0.525],
+    "933": [0, 0.61111, 0, 0, 0.525],
+    "934": [0, 0.61111, 0, 0, 0.525],
+    "936": [0, 0.61111, 0, 0, 0.525],
+    "937": [0, 0.61111, 0, 0, 0.525],
+    "8216": [0, 0.61111, 0, 0, 0.525],
+    "8217": [0, 0.61111, 0, 0, 0.525],
+    "8242": [0, 0.61111, 0, 0, 0.525],
+    "9251": [0.11111, 0.21944, 0, 0, 0.525]
+  }
+});
+// CONCATENATED MODULE: ./src/fontMetrics.js
+
+
+/**
+ * This file contains metrics regarding fonts and individual symbols. The sigma
+ * and xi variables, as well as the metricMap map contain data extracted from
+ * TeX, TeX font metrics, and the TTF files. These data are then exposed via the
+ * `metrics` variable and the getCharacterMetrics function.
+ */
+// In TeX, there are actually three sets of dimensions, one for each of
+// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4:
+// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt).  These are
+// provided in the the arrays below, in that order.
+//
+// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively.
+// This was determined by running the following script:
+//
+//     latex -interaction=nonstopmode \
+//     '\documentclass{article}\usepackage{amsmath}\begin{document}' \
+//     '$a$ \expandafter\show\the\textfont2' \
+//     '\expandafter\show\the\scriptfont2' \
+//     '\expandafter\show\the\scriptscriptfont2' \
+//     '\stop'
+//
+// The metrics themselves were retreived using the following commands:
+//
+//     tftopl cmsy10
+//     tftopl cmsy7
+//     tftopl cmsy5
+//
+// The output of each of these commands is quite lengthy.  The only part we
+// care about is the FONTDIMEN section. Each value is measured in EMs.
+var sigmasAndXis = {
+  slant: [0.250, 0.250, 0.250],
+  // sigma1
+  space: [0.000, 0.000, 0.000],
+  // sigma2
+  stretch: [0.000, 0.000, 0.000],
+  // sigma3
+  shrink: [0.000, 0.000, 0.000],
+  // sigma4
+  xHeight: [0.431, 0.431, 0.431],
+  // sigma5
+  quad: [1.000, 1.171, 1.472],
+  // sigma6
+  extraSpace: [0.000, 0.000, 0.000],
+  // sigma7
+  num1: [0.677, 0.732, 0.925],
+  // sigma8
+  num2: [0.394, 0.384, 0.387],
+  // sigma9
+  num3: [0.444, 0.471, 0.504],
+  // sigma10
+  denom1: [0.686, 0.752, 1.025],
+  // sigma11
+  denom2: [0.345, 0.344, 0.532],
+  // sigma12
+  sup1: [0.413, 0.503, 0.504],
+  // sigma13
+  sup2: [0.363, 0.431, 0.404],
+  // sigma14
+  sup3: [0.289, 0.286, 0.294],
+  // sigma15
+  sub1: [0.150, 0.143, 0.200],
+  // sigma16
+  sub2: [0.247, 0.286, 0.400],
+  // sigma17
+  supDrop: [0.386, 0.353, 0.494],
+  // sigma18
+  subDrop: [0.050, 0.071, 0.100],
+  // sigma19
+  delim1: [2.390, 1.700, 1.980],
+  // sigma20
+  delim2: [1.010, 1.157, 1.420],
+  // sigma21
+  axisHeight: [0.250, 0.250, 0.250],
+  // sigma22
+  // These font metrics are extracted from TeX by using tftopl on cmex10.tfm;
+  // they correspond to the font parameters of the extension fonts (family 3).
+  // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to
+  // match cmex7, we'd use cmex7.tfm values for script and scriptscript
+  // values.
+  defaultRuleThickness: [0.04, 0.049, 0.049],
+  // xi8; cmex7: 0.049
+  bigOpSpacing1: [0.111, 0.111, 0.111],
+  // xi9
+  bigOpSpacing2: [0.166, 0.166, 0.166],
+  // xi10
+  bigOpSpacing3: [0.2, 0.2, 0.2],
+  // xi11
+  bigOpSpacing4: [0.6, 0.611, 0.611],
+  // xi12; cmex7: 0.611
+  bigOpSpacing5: [0.1, 0.143, 0.143],
+  // xi13; cmex7: 0.143
+  // The \sqrt rule width is taken from the height of the surd character.
+  // Since we use the same font at all sizes, this thickness doesn't scale.
+  sqrtRuleThickness: [0.04, 0.04, 0.04],
+  // This value determines how large a pt is, for metrics which are defined
+  // in terms of pts.
+  // This value is also used in katex.less; if you change it make sure the
+  // values match.
+  ptPerEm: [10.0, 10.0, 10.0],
+  // The space between adjacent `|` columns in an array definition. From
+  // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm.
+  doubleRuleSep: [0.2, 0.2, 0.2],
+  // The width of separator lines in {array} environments. From
+  // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm.
+  arrayRuleWidth: [0.04, 0.04, 0.04],
+  // Two values from LaTeX source2e:
+  fboxsep: [0.3, 0.3, 0.3],
+  //        3 pt / ptPerEm
+  fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm
+
+}; // This map contains a mapping from font name and character code to character
+// metrics, including height, depth, italic correction, and skew (kern from the
+// character to the corresponding \skewchar)
+// This map is generated via `make metrics`. It should not be changed manually.
+
+ // These are very rough approximations.  We default to Times New Roman which
+// should have Latin-1 and Cyrillic characters, but may not depending on the
+// operating system.  The metrics do not account for extra height from the
+// accents.  In the case of Cyrillic characters which have both ascenders and
+// descenders we prefer approximations with ascenders, primarily to prevent
+// the fraction bar or root line from intersecting the glyph.
+// TODO(kevinb) allow union of multiple glyph metrics for better accuracy.
+
+var extraCharacterMap = {
+  // Latin-1
+  'Å': 'A',
+  'Ç': 'C',
+  'Ð': 'D',
+  'Þ': 'o',
+  'å': 'a',
+  'ç': 'c',
+  'ð': 'd',
+  'þ': 'o',
+  // Cyrillic
+  'А': 'A',
+  'Б': 'B',
+  'В': 'B',
+  'Г': 'F',
+  'Д': 'A',
+  'Е': 'E',
+  'Ж': 'K',
+  'З': '3',
+  'И': 'N',
+  'Й': 'N',
+  'К': 'K',
+  'Л': 'N',
+  'М': 'M',
+  'Н': 'H',
+  'О': 'O',
+  'П': 'N',
+  'Р': 'P',
+  'С': 'C',
+  'Т': 'T',
+  'У': 'y',
+  'Ф': 'O',
+  'Х': 'X',
+  'Ц': 'U',
+  'Ч': 'h',
+  'Ш': 'W',
+  'Щ': 'W',
+  'Ъ': 'B',
+  'Ы': 'X',
+  'Ь': 'B',
+  'Э': '3',
+  'Ю': 'X',
+  'Я': 'R',
+  'а': 'a',
+  'б': 'b',
+  'в': 'a',
+  'г': 'r',
+  'д': 'y',
+  'е': 'e',
+  'ж': 'm',
+  'з': 'e',
+  'и': 'n',
+  'й': 'n',
+  'к': 'n',
+  'л': 'n',
+  'м': 'm',
+  'н': 'n',
+  'о': 'o',
+  'п': 'n',
+  'р': 'p',
+  'с': 'c',
+  'т': 'o',
+  'у': 'y',
+  'ф': 'b',
+  'х': 'x',
+  'ц': 'n',
+  'ч': 'n',
+  'ш': 'w',
+  'щ': 'w',
+  'ъ': 'a',
+  'ы': 'm',
+  'ь': 'a',
+  'э': 'e',
+  'ю': 'm',
+  'я': 'r'
+};
+
+/**
+ * This function adds new font metrics to default metricMap
+ * It can also override existing metrics
+ */
+function setFontMetrics(fontName, metrics) {
+  fontMetricsData[fontName] = metrics;
+}
+/**
+ * This function is a convenience function for looking up information in the
+ * metricMap table. It takes a character as a string, and a font.
+ *
+ * Note: the `width` property may be undefined if fontMetricsData.js wasn't
+ * built using `Make extended_metrics`.
+ */
+
+function getCharacterMetrics(character, font, mode) {
+  if (!fontMetricsData[font]) {
+    throw new Error("Font metrics not found for font: " + font + ".");
+  }
+
+  var ch = character.charCodeAt(0);
+  var metrics = fontMetricsData[font][ch];
+
+  if (!metrics && character[0] in extraCharacterMap) {
+    ch = extraCharacterMap[character[0]].charCodeAt(0);
+    metrics = fontMetricsData[font][ch];
+  }
+
+  if (!metrics && mode === 'text') {
+    // We don't typically have font metrics for Asian scripts.
+    // But since we support them in text mode, we need to return
+    // some sort of metrics.
+    // So if the character is in a script we support but we
+    // don't have metrics for it, just use the metrics for
+    // the Latin capital letter M. This is close enough because
+    // we (currently) only care about the height of the glpyh
+    // not its width.
+    if (supportedCodepoint(ch)) {
+      metrics = fontMetricsData[font][77]; // 77 is the charcode for 'M'
+    }
+  }
+
+  if (metrics) {
+    return {
+      depth: metrics[0],
+      height: metrics[1],
+      italic: metrics[2],
+      skew: metrics[3],
+      width: metrics[4]
+    };
+  }
+}
+var fontMetricsBySizeIndex = {};
+/**
+ * Get the font metrics for a given size.
+ */
+
+function getGlobalMetrics(size) {
+  var sizeIndex;
+
+  if (size >= 5) {
+    sizeIndex = 0;
+  } else if (size >= 3) {
+    sizeIndex = 1;
+  } else {
+    sizeIndex = 2;
+  }
+
+  if (!fontMetricsBySizeIndex[sizeIndex]) {
+    var metrics = fontMetricsBySizeIndex[sizeIndex] = {
+      cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18
+    };
+
+    for (var key in sigmasAndXis) {
+      if (sigmasAndXis.hasOwnProperty(key)) {
+        metrics[key] = sigmasAndXis[key][sizeIndex];
+      }
+    }
+  }
+
+  return fontMetricsBySizeIndex[sizeIndex];
+}
+// CONCATENATED MODULE: ./src/symbols.js
+/**
+ * This file holds a list of all no-argument functions and single-character
+ * symbols (like 'a' or ';').
+ *
+ * For each of the symbols, there are three properties they can have:
+ * - font (required): the font to be used for this symbol. Either "main" (the
+     normal font), or "ams" (the ams fonts).
+ * - group (required): the ParseNode group type the symbol should have (i.e.
+     "textord", "mathord", etc).
+     See https://github.com/KaTeX/KaTeX/wiki/Examining-TeX#group-types
+ * - replace: the character that this symbol or function should be
+ *   replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi
+ *   character in the main font).
+ *
+ * The outermost map in the table indicates what mode the symbols should be
+ * accepted in (e.g. "math" or "text").
+ */
+// Some of these have a "-token" suffix since these are also used as `ParseNode`
+// types for raw text tokens, and we want to avoid conflicts with higher-level
+// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by
+// looking up the `symbols` map.
+var ATOMS = {
+  "bin": 1,
+  "close": 1,
+  "inner": 1,
+  "open": 1,
+  "punct": 1,
+  "rel": 1
+};
+var NON_ATOMS = {
+  "accent-token": 1,
+  "mathord": 1,
+  "op-token": 1,
+  "spacing": 1,
+  "textord": 1
+};
+var symbols = {
+  "math": {},
+  "text": {}
+};
+/* harmony default export */ var src_symbols = (symbols);
+/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */
+
+function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) {
+  symbols[mode][name] = {
+    font: font,
+    group: group,
+    replace: replace
+  };
+
+  if (acceptUnicodeChar && replace) {
+    symbols[mode][replace] = symbols[mode][name];
+  }
+} // Some abbreviations for commonly used strings.
+// This helps minify the code, and also spotting typos using jshint.
+// modes:
+
+var symbols_math = "math";
+var symbols_text = "text"; // fonts:
+
+var main = "main";
+var ams = "ams"; // groups:
+
+var symbols_accent = "accent-token";
+var bin = "bin";
+var symbols_close = "close";
+var symbols_inner = "inner";
+var mathord = "mathord";
+var op = "op-token";
+var symbols_open = "open";
+var punct = "punct";
+var rel = "rel";
+var symbols_spacing = "spacing";
+var symbols_textord = "textord"; // Now comes the symbol table
+// Relation Symbols
+
+defineSymbol(symbols_math, main, rel, "\u2261", "\\equiv", true);
+defineSymbol(symbols_math, main, rel, "\u227A", "\\prec", true);
+defineSymbol(symbols_math, main, rel, "\u227B", "\\succ", true);
+defineSymbol(symbols_math, main, rel, "\u223C", "\\sim", true);
+defineSymbol(symbols_math, main, rel, "\u22A5", "\\perp");
+defineSymbol(symbols_math, main, rel, "\u2AAF", "\\preceq", true);
+defineSymbol(symbols_math, main, rel, "\u2AB0", "\\succeq", true);
+defineSymbol(symbols_math, main, rel, "\u2243", "\\simeq", true);
+defineSymbol(symbols_math, main, rel, "\u2223", "\\mid", true);
+defineSymbol(symbols_math, main, rel, "\u226A", "\\ll", true);
+defineSymbol(symbols_math, main, rel, "\u226B", "\\gg", true);
+defineSymbol(symbols_math, main, rel, "\u224D", "\\asymp", true);
+defineSymbol(symbols_math, main, rel, "\u2225", "\\parallel");
+defineSymbol(symbols_math, main, rel, "\u22C8", "\\bowtie", true);
+defineSymbol(symbols_math, main, rel, "\u2323", "\\smile", true);
+defineSymbol(symbols_math, main, rel, "\u2291", "\\sqsubseteq", true);
+defineSymbol(symbols_math, main, rel, "\u2292", "\\sqsupseteq", true);
+defineSymbol(symbols_math, main, rel, "\u2250", "\\doteq", true);
+defineSymbol(symbols_math, main, rel, "\u2322", "\\frown", true);
+defineSymbol(symbols_math, main, rel, "\u220B", "\\ni", true);
+defineSymbol(symbols_math, main, rel, "\u221D", "\\propto", true);
+defineSymbol(symbols_math, main, rel, "\u22A2", "\\vdash", true);
+defineSymbol(symbols_math, main, rel, "\u22A3", "\\dashv", true);
+defineSymbol(symbols_math, main, rel, "\u220B", "\\owns"); // Punctuation
+
+defineSymbol(symbols_math, main, punct, ".", "\\ldotp");
+defineSymbol(symbols_math, main, punct, "\u22C5", "\\cdotp"); // Misc Symbols
+
+defineSymbol(symbols_math, main, symbols_textord, "#", "\\#");
+defineSymbol(symbols_text, main, symbols_textord, "#", "\\#");
+defineSymbol(symbols_math, main, symbols_textord, "&", "\\&");
+defineSymbol(symbols_text, main, symbols_textord, "&", "\\&");
+defineSymbol(symbols_math, main, symbols_textord, "\u2135", "\\aleph", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2200", "\\forall", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u210F", "\\hbar", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2203", "\\exists", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2207", "\\nabla", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u266D", "\\flat", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2113", "\\ell", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u266E", "\\natural", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2663", "\\clubsuit", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2118", "\\wp", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u266F", "\\sharp", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2662", "\\diamondsuit", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u211C", "\\Re", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2661", "\\heartsuit", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2111", "\\Im", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2660", "\\spadesuit", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xA7", "\\S", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xB6", "\\P", true); // Math and Text
+
+defineSymbol(symbols_math, main, symbols_textord, "\u2020", "\\dag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2020", "\\dag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2020", "\\textdagger");
+defineSymbol(symbols_math, main, symbols_textord, "\u2021", "\\ddag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2021", "\\ddag");
+defineSymbol(symbols_text, main, symbols_textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters
+
+defineSymbol(symbols_math, main, symbols_close, "\u23B1", "\\rmoustache", true);
+defineSymbol(symbols_math, main, symbols_open, "\u23B0", "\\lmoustache", true);
+defineSymbol(symbols_math, main, symbols_close, "\u27EF", "\\rgroup", true);
+defineSymbol(symbols_math, main, symbols_open, "\u27EE", "\\lgroup", true); // Binary Operators
+
+defineSymbol(symbols_math, main, bin, "\u2213", "\\mp", true);
+defineSymbol(symbols_math, main, bin, "\u2296", "\\ominus", true);
+defineSymbol(symbols_math, main, bin, "\u228E", "\\uplus", true);
+defineSymbol(symbols_math, main, bin, "\u2293", "\\sqcap", true);
+defineSymbol(symbols_math, main, bin, "\u2217", "\\ast");
+defineSymbol(symbols_math, main, bin, "\u2294", "\\sqcup", true);
+defineSymbol(symbols_math, main, bin, "\u25EF", "\\bigcirc");
+defineSymbol(symbols_math, main, bin, "\u2219", "\\bullet");
+defineSymbol(symbols_math, main, bin, "\u2021", "\\ddagger");
+defineSymbol(symbols_math, main, bin, "\u2240", "\\wr", true);
+defineSymbol(symbols_math, main, bin, "\u2A3F", "\\amalg");
+defineSymbol(symbols_math, main, bin, "&", "\\And"); // from amsmath
+// Arrow Symbols
+
+defineSymbol(symbols_math, main, rel, "\u27F5", "\\longleftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D0", "\\Leftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F8", "\\Longleftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F6", "\\longrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D2", "\\Rightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F9", "\\Longrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2194", "\\leftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27F7", "\\longleftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D4", "\\Leftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u27FA", "\\Longleftrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21A6", "\\mapsto", true);
+defineSymbol(symbols_math, main, rel, "\u27FC", "\\longmapsto", true);
+defineSymbol(symbols_math, main, rel, "\u2197", "\\nearrow", true);
+defineSymbol(symbols_math, main, rel, "\u21A9", "\\hookleftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21AA", "\\hookrightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2198", "\\searrow", true);
+defineSymbol(symbols_math, main, rel, "\u21BC", "\\leftharpoonup", true);
+defineSymbol(symbols_math, main, rel, "\u21C0", "\\rightharpoonup", true);
+defineSymbol(symbols_math, main, rel, "\u2199", "\\swarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21BD", "\\leftharpoondown", true);
+defineSymbol(symbols_math, main, rel, "\u21C1", "\\rightharpoondown", true);
+defineSymbol(symbols_math, main, rel, "\u2196", "\\nwarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21CC", "\\rightleftharpoons", true); // AMS Negated Binary Relations
+
+defineSymbol(symbols_math, ams, rel, "\u226E", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro.
+
+defineSymbol(symbols_math, ams, rel, "\uE010", "\\@nleqslant");
+defineSymbol(symbols_math, ams, rel, "\uE011", "\\@nleqq");
+defineSymbol(symbols_math, ams, rel, "\u2A87", "\\lneq", true);
+defineSymbol(symbols_math, ams, rel, "\u2268", "\\lneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE00C", "\\@lvertneqq");
+defineSymbol(symbols_math, ams, rel, "\u22E6", "\\lnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A89", "\\lnapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u22E0", "\\npreceq", true);
+defineSymbol(symbols_math, ams, rel, "\u22E8", "\\precnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB9", "\\precnapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u2241", "\\nsim", true);
+defineSymbol(symbols_math, ams, rel, "\uE006", "\\@nshortmid");
+defineSymbol(symbols_math, ams, rel, "\u2224", "\\nmid", true);
+defineSymbol(symbols_math, ams, rel, "\u22AC", "\\nvdash", true);
+defineSymbol(symbols_math, ams, rel, "\u22AD", "\\nvDash", true);
+defineSymbol(symbols_math, ams, rel, "\u22EA", "\\ntriangleleft");
+defineSymbol(symbols_math, ams, rel, "\u22EC", "\\ntrianglelefteq", true);
+defineSymbol(symbols_math, ams, rel, "\u228A", "\\subsetneq", true);
+defineSymbol(symbols_math, ams, rel, "\uE01A", "\\@varsubsetneq");
+defineSymbol(symbols_math, ams, rel, "\u2ACB", "\\subsetneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE017", "\\@varsubsetneqq");
+defineSymbol(symbols_math, ams, rel, "\u226F", "\\ngtr", true);
+defineSymbol(symbols_math, ams, rel, "\uE00F", "\\@ngeqslant");
+defineSymbol(symbols_math, ams, rel, "\uE00E", "\\@ngeqq");
+defineSymbol(symbols_math, ams, rel, "\u2A88", "\\gneq", true);
+defineSymbol(symbols_math, ams, rel, "\u2269", "\\gneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE00D", "\\@gvertneqq");
+defineSymbol(symbols_math, ams, rel, "\u22E7", "\\gnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A8A", "\\gnapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u22E1", "\\nsucceq", true);
+defineSymbol(symbols_math, ams, rel, "\u22E9", "\\succnsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2ABA", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u2246", "\\ncong", true);
+defineSymbol(symbols_math, ams, rel, "\uE007", "\\@nshortparallel");
+defineSymbol(symbols_math, ams, rel, "\u2226", "\\nparallel", true);
+defineSymbol(symbols_math, ams, rel, "\u22AF", "\\nVDash", true);
+defineSymbol(symbols_math, ams, rel, "\u22EB", "\\ntriangleright");
+defineSymbol(symbols_math, ams, rel, "\u22ED", "\\ntrianglerighteq", true);
+defineSymbol(symbols_math, ams, rel, "\uE018", "\\@nsupseteqq");
+defineSymbol(symbols_math, ams, rel, "\u228B", "\\supsetneq", true);
+defineSymbol(symbols_math, ams, rel, "\uE01B", "\\@varsupsetneq");
+defineSymbol(symbols_math, ams, rel, "\u2ACC", "\\supsetneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE019", "\\@varsupsetneqq");
+defineSymbol(symbols_math, ams, rel, "\u22AE", "\\nVdash", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB5", "\\precneqq", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB6", "\\succneqq", true);
+defineSymbol(symbols_math, ams, rel, "\uE016", "\\@nsubseteqq");
+defineSymbol(symbols_math, ams, bin, "\u22B4", "\\unlhd");
+defineSymbol(symbols_math, ams, bin, "\u22B5", "\\unrhd"); // AMS Negated Arrows
+
+defineSymbol(symbols_math, ams, rel, "\u219A", "\\nleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u219B", "\\nrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21CD", "\\nLeftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21CF", "\\nRightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21AE", "\\nleftrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21CE", "\\nLeftrightarrow", true); // AMS Misc
+
+defineSymbol(symbols_math, ams, rel, "\u25B3", "\\vartriangle");
+defineSymbol(symbols_math, ams, symbols_textord, "\u210F", "\\hslash");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25BD", "\\triangledown");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25CA", "\\lozenge");
+defineSymbol(symbols_math, ams, symbols_textord, "\u24C8", "\\circledS");
+defineSymbol(symbols_math, ams, symbols_textord, "\xAE", "\\circledR");
+defineSymbol(symbols_text, ams, symbols_textord, "\xAE", "\\circledR");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2221", "\\measuredangle", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2204", "\\nexists");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2127", "\\mho");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2132", "\\Finv", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2141", "\\Game", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2035", "\\backprime");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25B2", "\\blacktriangle");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25BC", "\\blacktriangledown");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25A0", "\\blacksquare");
+defineSymbol(symbols_math, ams, symbols_textord, "\u29EB", "\\blacklozenge");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2605", "\\bigstar");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2222", "\\sphericalangle", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 to \matheth. We map to AMS function \eth
+
+defineSymbol(symbols_math, ams, symbols_textord, "\xF0", "\\eth", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xF0", "\xF0");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2571", "\\diagup");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2572", "\\diagdown");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25A1", "\\square");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25A1", "\\Box");
+defineSymbol(symbols_math, ams, symbols_textord, "\u25CA", "\\Diamond"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen
+
+defineSymbol(symbols_math, ams, symbols_textord, "\xA5", "\\yen", true);
+defineSymbol(symbols_text, ams, symbols_textord, "\xA5", "\\yen", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2713", "\\checkmark", true);
+defineSymbol(symbols_text, ams, symbols_textord, "\u2713", "\\checkmark"); // AMS Hebrew
+
+defineSymbol(symbols_math, ams, symbols_textord, "\u2136", "\\beth", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2138", "\\daleth", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2137", "\\gimel", true); // AMS Greek
+
+defineSymbol(symbols_math, ams, symbols_textord, "\u03DD", "\\digamma", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u03F0", "\\varkappa"); // AMS Delimiters
+
+defineSymbol(symbols_math, ams, symbols_open, "\u250C", "\\@ulcorner", true);
+defineSymbol(symbols_math, ams, symbols_close, "\u2510", "\\@urcorner", true);
+defineSymbol(symbols_math, ams, symbols_open, "\u2514", "\\@llcorner", true);
+defineSymbol(symbols_math, ams, symbols_close, "\u2518", "\\@lrcorner", true); // AMS Binary Relations
+
+defineSymbol(symbols_math, ams, rel, "\u2266", "\\leqq", true);
+defineSymbol(symbols_math, ams, rel, "\u2A7D", "\\leqslant", true);
+defineSymbol(symbols_math, ams, rel, "\u2A95", "\\eqslantless", true);
+defineSymbol(symbols_math, ams, rel, "\u2272", "\\lesssim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A85", "\\lessapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u224A", "\\approxeq", true);
+defineSymbol(symbols_math, ams, bin, "\u22D6", "\\lessdot");
+defineSymbol(symbols_math, ams, rel, "\u22D8", "\\lll", true);
+defineSymbol(symbols_math, ams, rel, "\u2276", "\\lessgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u22DA", "\\lesseqgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u2A8B", "\\lesseqqgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u2251", "\\doteqdot");
+defineSymbol(symbols_math, ams, rel, "\u2253", "\\risingdotseq", true);
+defineSymbol(symbols_math, ams, rel, "\u2252", "\\fallingdotseq", true);
+defineSymbol(symbols_math, ams, rel, "\u223D", "\\backsim", true);
+defineSymbol(symbols_math, ams, rel, "\u22CD", "\\backsimeq", true);
+defineSymbol(symbols_math, ams, rel, "\u2AC5", "\\subseteqq", true);
+defineSymbol(symbols_math, ams, rel, "\u22D0", "\\Subset", true);
+defineSymbol(symbols_math, ams, rel, "\u228F", "\\sqsubset", true);
+defineSymbol(symbols_math, ams, rel, "\u227C", "\\preccurlyeq", true);
+defineSymbol(symbols_math, ams, rel, "\u22DE", "\\curlyeqprec", true);
+defineSymbol(symbols_math, ams, rel, "\u227E", "\\precsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB7", "\\precapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u22B2", "\\vartriangleleft");
+defineSymbol(symbols_math, ams, rel, "\u22B4", "\\trianglelefteq");
+defineSymbol(symbols_math, ams, rel, "\u22A8", "\\vDash", true);
+defineSymbol(symbols_math, ams, rel, "\u22AA", "\\Vvdash", true);
+defineSymbol(symbols_math, ams, rel, "\u2323", "\\smallsmile");
+defineSymbol(symbols_math, ams, rel, "\u2322", "\\smallfrown");
+defineSymbol(symbols_math, ams, rel, "\u224F", "\\bumpeq", true);
+defineSymbol(symbols_math, ams, rel, "\u224E", "\\Bumpeq", true);
+defineSymbol(symbols_math, ams, rel, "\u2267", "\\geqq", true);
+defineSymbol(symbols_math, ams, rel, "\u2A7E", "\\geqslant", true);
+defineSymbol(symbols_math, ams, rel, "\u2A96", "\\eqslantgtr", true);
+defineSymbol(symbols_math, ams, rel, "\u2273", "\\gtrsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2A86", "\\gtrapprox", true);
+defineSymbol(symbols_math, ams, bin, "\u22D7", "\\gtrdot");
+defineSymbol(symbols_math, ams, rel, "\u22D9", "\\ggg", true);
+defineSymbol(symbols_math, ams, rel, "\u2277", "\\gtrless", true);
+defineSymbol(symbols_math, ams, rel, "\u22DB", "\\gtreqless", true);
+defineSymbol(symbols_math, ams, rel, "\u2A8C", "\\gtreqqless", true);
+defineSymbol(symbols_math, ams, rel, "\u2256", "\\eqcirc", true);
+defineSymbol(symbols_math, ams, rel, "\u2257", "\\circeq", true);
+defineSymbol(symbols_math, ams, rel, "\u225C", "\\triangleq", true);
+defineSymbol(symbols_math, ams, rel, "\u223C", "\\thicksim");
+defineSymbol(symbols_math, ams, rel, "\u2248", "\\thickapprox");
+defineSymbol(symbols_math, ams, rel, "\u2AC6", "\\supseteqq", true);
+defineSymbol(symbols_math, ams, rel, "\u22D1", "\\Supset", true);
+defineSymbol(symbols_math, ams, rel, "\u2290", "\\sqsupset", true);
+defineSymbol(symbols_math, ams, rel, "\u227D", "\\succcurlyeq", true);
+defineSymbol(symbols_math, ams, rel, "\u22DF", "\\curlyeqsucc", true);
+defineSymbol(symbols_math, ams, rel, "\u227F", "\\succsim", true);
+defineSymbol(symbols_math, ams, rel, "\u2AB8", "\\succapprox", true);
+defineSymbol(symbols_math, ams, rel, "\u22B3", "\\vartriangleright");
+defineSymbol(symbols_math, ams, rel, "\u22B5", "\\trianglerighteq");
+defineSymbol(symbols_math, ams, rel, "\u22A9", "\\Vdash", true);
+defineSymbol(symbols_math, ams, rel, "\u2223", "\\shortmid");
+defineSymbol(symbols_math, ams, rel, "\u2225", "\\shortparallel");
+defineSymbol(symbols_math, ams, rel, "\u226C", "\\between", true);
+defineSymbol(symbols_math, ams, rel, "\u22D4", "\\pitchfork", true);
+defineSymbol(symbols_math, ams, rel, "\u221D", "\\varpropto");
+defineSymbol(symbols_math, ams, rel, "\u25C0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(symbols_math, ams, rel, "\u2234", "\\therefore", true);
+defineSymbol(symbols_math, ams, rel, "\u220D", "\\backepsilon");
+defineSymbol(symbols_math, ams, rel, "\u25B6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(symbols_math, ams, rel, "\u2235", "\\because", true);
+defineSymbol(symbols_math, ams, rel, "\u22D8", "\\llless");
+defineSymbol(symbols_math, ams, rel, "\u22D9", "\\gggtr");
+defineSymbol(symbols_math, ams, bin, "\u22B2", "\\lhd");
+defineSymbol(symbols_math, ams, bin, "\u22B3", "\\rhd");
+defineSymbol(symbols_math, ams, rel, "\u2242", "\\eqsim", true);
+defineSymbol(symbols_math, main, rel, "\u22C8", "\\Join");
+defineSymbol(symbols_math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators
+
+defineSymbol(symbols_math, ams, bin, "\u2214", "\\dotplus", true);
+defineSymbol(symbols_math, ams, bin, "\u2216", "\\smallsetminus");
+defineSymbol(symbols_math, ams, bin, "\u22D2", "\\Cap", true);
+defineSymbol(symbols_math, ams, bin, "\u22D3", "\\Cup", true);
+defineSymbol(symbols_math, ams, bin, "\u2A5E", "\\doublebarwedge", true);
+defineSymbol(symbols_math, ams, bin, "\u229F", "\\boxminus", true);
+defineSymbol(symbols_math, ams, bin, "\u229E", "\\boxplus", true);
+defineSymbol(symbols_math, ams, bin, "\u22C7", "\\divideontimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22C9", "\\ltimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CA", "\\rtimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CB", "\\leftthreetimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CC", "\\rightthreetimes", true);
+defineSymbol(symbols_math, ams, bin, "\u22CF", "\\curlywedge", true);
+defineSymbol(symbols_math, ams, bin, "\u22CE", "\\curlyvee", true);
+defineSymbol(symbols_math, ams, bin, "\u229D", "\\circleddash", true);
+defineSymbol(symbols_math, ams, bin, "\u229B", "\\circledast", true);
+defineSymbol(symbols_math, ams, bin, "\u22C5", "\\centerdot");
+defineSymbol(symbols_math, ams, bin, "\u22BA", "\\intercal", true);
+defineSymbol(symbols_math, ams, bin, "\u22D2", "\\doublecap");
+defineSymbol(symbols_math, ams, bin, "\u22D3", "\\doublecup");
+defineSymbol(symbols_math, ams, bin, "\u22A0", "\\boxtimes", true); // AMS Arrows
+// Note: unicode-math maps \u21e2 to their own function \rightdasharrow.
+// We'll map it to AMS function \dashrightarrow. It produces the same atom.
+
+defineSymbol(symbols_math, ams, rel, "\u21E2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u21E0", "\\dashleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21C7", "\\leftleftarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21C6", "\\leftrightarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21DA", "\\Lleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u219E", "\\twoheadleftarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21A2", "\\leftarrowtail", true);
+defineSymbol(symbols_math, ams, rel, "\u21AB", "\\looparrowleft", true);
+defineSymbol(symbols_math, ams, rel, "\u21CB", "\\leftrightharpoons", true);
+defineSymbol(symbols_math, ams, rel, "\u21B6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u21BA", "\\circlearrowleft", true);
+defineSymbol(symbols_math, ams, rel, "\u21B0", "\\Lsh", true);
+defineSymbol(symbols_math, ams, rel, "\u21C8", "\\upuparrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21BF", "\\upharpoonleft", true);
+defineSymbol(symbols_math, ams, rel, "\u21C3", "\\downharpoonleft", true);
+defineSymbol(symbols_math, ams, rel, "\u22B8", "\\multimap", true);
+defineSymbol(symbols_math, ams, rel, "\u21AD", "\\leftrightsquigarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21C9", "\\rightrightarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21C4", "\\rightleftarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21A0", "\\twoheadrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21A3", "\\rightarrowtail", true);
+defineSymbol(symbols_math, ams, rel, "\u21AC", "\\looparrowright", true);
+defineSymbol(symbols_math, ams, rel, "\u21B7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(symbols_math, ams, rel, "\u21BB", "\\circlearrowright", true);
+defineSymbol(symbols_math, ams, rel, "\u21B1", "\\Rsh", true);
+defineSymbol(symbols_math, ams, rel, "\u21CA", "\\downdownarrows", true);
+defineSymbol(symbols_math, ams, rel, "\u21BE", "\\upharpoonright", true);
+defineSymbol(symbols_math, ams, rel, "\u21C2", "\\downharpoonright", true);
+defineSymbol(symbols_math, ams, rel, "\u21DD", "\\rightsquigarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21DD", "\\leadsto");
+defineSymbol(symbols_math, ams, rel, "\u21DB", "\\Rrightarrow", true);
+defineSymbol(symbols_math, ams, rel, "\u21BE", "\\restriction");
+defineSymbol(symbols_math, main, symbols_textord, "\u2018", "`");
+defineSymbol(symbols_math, main, symbols_textord, "$", "\\$");
+defineSymbol(symbols_text, main, symbols_textord, "$", "\\$");
+defineSymbol(symbols_text, main, symbols_textord, "$", "\\textdollar");
+defineSymbol(symbols_math, main, symbols_textord, "%", "\\%");
+defineSymbol(symbols_text, main, symbols_textord, "%", "\\%");
+defineSymbol(symbols_math, main, symbols_textord, "_", "\\_");
+defineSymbol(symbols_text, main, symbols_textord, "_", "\\_");
+defineSymbol(symbols_text, main, symbols_textord, "_", "\\textunderscore");
+defineSymbol(symbols_math, main, symbols_textord, "\u2220", "\\angle", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u221E", "\\infty", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2032", "\\prime");
+defineSymbol(symbols_math, main, symbols_textord, "\u25B3", "\\triangle");
+defineSymbol(symbols_math, main, symbols_textord, "\u0393", "\\Gamma", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u0394", "\\Delta", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u0398", "\\Theta", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u039B", "\\Lambda", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u039E", "\\Xi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A0", "\\Pi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A3", "\\Sigma", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A5", "\\Upsilon", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A6", "\\Phi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A8", "\\Psi", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u03A9", "\\Omega", true);
+defineSymbol(symbols_math, main, symbols_textord, "A", "\u0391");
+defineSymbol(symbols_math, main, symbols_textord, "B", "\u0392");
+defineSymbol(symbols_math, main, symbols_textord, "E", "\u0395");
+defineSymbol(symbols_math, main, symbols_textord, "Z", "\u0396");
+defineSymbol(symbols_math, main, symbols_textord, "H", "\u0397");
+defineSymbol(symbols_math, main, symbols_textord, "I", "\u0399");
+defineSymbol(symbols_math, main, symbols_textord, "K", "\u039A");
+defineSymbol(symbols_math, main, symbols_textord, "M", "\u039C");
+defineSymbol(symbols_math, main, symbols_textord, "N", "\u039D");
+defineSymbol(symbols_math, main, symbols_textord, "O", "\u039F");
+defineSymbol(symbols_math, main, symbols_textord, "P", "\u03A1");
+defineSymbol(symbols_math, main, symbols_textord, "T", "\u03A4");
+defineSymbol(symbols_math, main, symbols_textord, "X", "\u03A7");
+defineSymbol(symbols_math, main, symbols_textord, "\xAC", "\\neg", true);
+defineSymbol(symbols_math, main, symbols_textord, "\xAC", "\\lnot");
+defineSymbol(symbols_math, main, symbols_textord, "\u22A4", "\\top");
+defineSymbol(symbols_math, main, symbols_textord, "\u22A5", "\\bot");
+defineSymbol(symbols_math, main, symbols_textord, "\u2205", "\\emptyset");
+defineSymbol(symbols_math, ams, symbols_textord, "\u2205", "\\varnothing");
+defineSymbol(symbols_math, main, mathord, "\u03B1", "\\alpha", true);
+defineSymbol(symbols_math, main, mathord, "\u03B2", "\\beta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B3", "\\gamma", true);
+defineSymbol(symbols_math, main, mathord, "\u03B4", "\\delta", true);
+defineSymbol(symbols_math, main, mathord, "\u03F5", "\\epsilon", true);
+defineSymbol(symbols_math, main, mathord, "\u03B6", "\\zeta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B7", "\\eta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B8", "\\theta", true);
+defineSymbol(symbols_math, main, mathord, "\u03B9", "\\iota", true);
+defineSymbol(symbols_math, main, mathord, "\u03BA", "\\kappa", true);
+defineSymbol(symbols_math, main, mathord, "\u03BB", "\\lambda", true);
+defineSymbol(symbols_math, main, mathord, "\u03BC", "\\mu", true);
+defineSymbol(symbols_math, main, mathord, "\u03BD", "\\nu", true);
+defineSymbol(symbols_math, main, mathord, "\u03BE", "\\xi", true);
+defineSymbol(symbols_math, main, mathord, "\u03BF", "\\omicron", true);
+defineSymbol(symbols_math, main, mathord, "\u03C0", "\\pi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C1", "\\rho", true);
+defineSymbol(symbols_math, main, mathord, "\u03C3", "\\sigma", true);
+defineSymbol(symbols_math, main, mathord, "\u03C4", "\\tau", true);
+defineSymbol(symbols_math, main, mathord, "\u03C5", "\\upsilon", true);
+defineSymbol(symbols_math, main, mathord, "\u03D5", "\\phi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C7", "\\chi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C8", "\\psi", true);
+defineSymbol(symbols_math, main, mathord, "\u03C9", "\\omega", true);
+defineSymbol(symbols_math, main, mathord, "\u03B5", "\\varepsilon", true);
+defineSymbol(symbols_math, main, mathord, "\u03D1", "\\vartheta", true);
+defineSymbol(symbols_math, main, mathord, "\u03D6", "\\varpi", true);
+defineSymbol(symbols_math, main, mathord, "\u03F1", "\\varrho", true);
+defineSymbol(symbols_math, main, mathord, "\u03C2", "\\varsigma", true);
+defineSymbol(symbols_math, main, mathord, "\u03C6", "\\varphi", true);
+defineSymbol(symbols_math, main, bin, "\u2217", "*");
+defineSymbol(symbols_math, main, bin, "+", "+");
+defineSymbol(symbols_math, main, bin, "\u2212", "-");
+defineSymbol(symbols_math, main, bin, "\u22C5", "\\cdot", true);
+defineSymbol(symbols_math, main, bin, "\u2218", "\\circ");
+defineSymbol(symbols_math, main, bin, "\xF7", "\\div", true);
+defineSymbol(symbols_math, main, bin, "\xB1", "\\pm", true);
+defineSymbol(symbols_math, main, bin, "\xD7", "\\times", true);
+defineSymbol(symbols_math, main, bin, "\u2229", "\\cap", true);
+defineSymbol(symbols_math, main, bin, "\u222A", "\\cup", true);
+defineSymbol(symbols_math, main, bin, "\u2216", "\\setminus");
+defineSymbol(symbols_math, main, bin, "\u2227", "\\land");
+defineSymbol(symbols_math, main, bin, "\u2228", "\\lor");
+defineSymbol(symbols_math, main, bin, "\u2227", "\\wedge", true);
+defineSymbol(symbols_math, main, bin, "\u2228", "\\vee", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u221A", "\\surd");
+defineSymbol(symbols_math, main, symbols_open, "\u27E8", "\\langle", true);
+defineSymbol(symbols_math, main, symbols_open, "\u2223", "\\lvert");
+defineSymbol(symbols_math, main, symbols_open, "\u2225", "\\lVert");
+defineSymbol(symbols_math, main, symbols_close, "?", "?");
+defineSymbol(symbols_math, main, symbols_close, "!", "!");
+defineSymbol(symbols_math, main, symbols_close, "\u27E9", "\\rangle", true);
+defineSymbol(symbols_math, main, symbols_close, "\u2223", "\\rvert");
+defineSymbol(symbols_math, main, symbols_close, "\u2225", "\\rVert");
+defineSymbol(symbols_math, main, rel, "=", "=");
+defineSymbol(symbols_math, main, rel, ":", ":");
+defineSymbol(symbols_math, main, rel, "\u2248", "\\approx", true);
+defineSymbol(symbols_math, main, rel, "\u2245", "\\cong", true);
+defineSymbol(symbols_math, main, rel, "\u2265", "\\ge");
+defineSymbol(symbols_math, main, rel, "\u2265", "\\geq", true);
+defineSymbol(symbols_math, main, rel, "\u2190", "\\gets");
+defineSymbol(symbols_math, main, rel, ">", "\\gt", true);
+defineSymbol(symbols_math, main, rel, "\u2208", "\\in", true);
+defineSymbol(symbols_math, main, rel, "\uE020", "\\@not");
+defineSymbol(symbols_math, main, rel, "\u2282", "\\subset", true);
+defineSymbol(symbols_math, main, rel, "\u2283", "\\supset", true);
+defineSymbol(symbols_math, main, rel, "\u2286", "\\subseteq", true);
+defineSymbol(symbols_math, main, rel, "\u2287", "\\supseteq", true);
+defineSymbol(symbols_math, ams, rel, "\u2288", "\\nsubseteq", true);
+defineSymbol(symbols_math, ams, rel, "\u2289", "\\nsupseteq", true);
+defineSymbol(symbols_math, main, rel, "\u22A8", "\\models");
+defineSymbol(symbols_math, main, rel, "\u2190", "\\leftarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2264", "\\le");
+defineSymbol(symbols_math, main, rel, "\u2264", "\\leq", true);
+defineSymbol(symbols_math, main, rel, "<", "\\lt", true);
+defineSymbol(symbols_math, main, rel, "\u2192", "\\rightarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2192", "\\to");
+defineSymbol(symbols_math, ams, rel, "\u2271", "\\ngeq", true);
+defineSymbol(symbols_math, ams, rel, "\u2270", "\\nleq", true);
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "\\ ");
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "~");
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%
+
+defineSymbol(symbols_math, main, symbols_spacing, "\xA0", "\\nobreakspace");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\ ");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", " ");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "~");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\space");
+defineSymbol(symbols_text, main, symbols_spacing, "\xA0", "\\nobreakspace");
+defineSymbol(symbols_math, main, symbols_spacing, null, "\\nobreak");
+defineSymbol(symbols_math, main, symbols_spacing, null, "\\allowbreak");
+defineSymbol(symbols_math, main, punct, ",", ",");
+defineSymbol(symbols_math, main, punct, ";", ";");
+defineSymbol(symbols_math, ams, bin, "\u22BC", "\\barwedge", true);
+defineSymbol(symbols_math, ams, bin, "\u22BB", "\\veebar", true);
+defineSymbol(symbols_math, main, bin, "\u2299", "\\odot", true);
+defineSymbol(symbols_math, main, bin, "\u2295", "\\oplus", true);
+defineSymbol(symbols_math, main, bin, "\u2297", "\\otimes", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u2202", "\\partial", true);
+defineSymbol(symbols_math, main, bin, "\u2298", "\\oslash", true);
+defineSymbol(symbols_math, ams, bin, "\u229A", "\\circledcirc", true);
+defineSymbol(symbols_math, ams, bin, "\u22A1", "\\boxdot", true);
+defineSymbol(symbols_math, main, bin, "\u25B3", "\\bigtriangleup");
+defineSymbol(symbols_math, main, bin, "\u25BD", "\\bigtriangledown");
+defineSymbol(symbols_math, main, bin, "\u2020", "\\dagger");
+defineSymbol(symbols_math, main, bin, "\u22C4", "\\diamond");
+defineSymbol(symbols_math, main, bin, "\u22C6", "\\star");
+defineSymbol(symbols_math, main, bin, "\u25C3", "\\triangleleft");
+defineSymbol(symbols_math, main, bin, "\u25B9", "\\triangleright");
+defineSymbol(symbols_math, main, symbols_open, "{", "\\{");
+defineSymbol(symbols_text, main, symbols_textord, "{", "\\{");
+defineSymbol(symbols_text, main, symbols_textord, "{", "\\textbraceleft");
+defineSymbol(symbols_math, main, symbols_close, "}", "\\}");
+defineSymbol(symbols_text, main, symbols_textord, "}", "\\}");
+defineSymbol(symbols_text, main, symbols_textord, "}", "\\textbraceright");
+defineSymbol(symbols_math, main, symbols_open, "{", "\\lbrace");
+defineSymbol(symbols_math, main, symbols_close, "}", "\\rbrace");
+defineSymbol(symbols_math, main, symbols_open, "[", "\\lbrack", true);
+defineSymbol(symbols_text, main, symbols_textord, "[", "\\lbrack", true);
+defineSymbol(symbols_math, main, symbols_close, "]", "\\rbrack", true);
+defineSymbol(symbols_text, main, symbols_textord, "]", "\\rbrack", true);
+defineSymbol(symbols_math, main, symbols_open, "(", "\\lparen", true);
+defineSymbol(symbols_math, main, symbols_close, ")", "\\rparen", true);
+defineSymbol(symbols_text, main, symbols_textord, "<", "\\textless", true); // in T1 fontenc
+
+defineSymbol(symbols_text, main, symbols_textord, ">", "\\textgreater", true); // in T1 fontenc
+
+defineSymbol(symbols_math, main, symbols_open, "\u230A", "\\lfloor", true);
+defineSymbol(symbols_math, main, symbols_close, "\u230B", "\\rfloor", true);
+defineSymbol(symbols_math, main, symbols_open, "\u2308", "\\lceil", true);
+defineSymbol(symbols_math, main, symbols_close, "\u2309", "\\rceil", true);
+defineSymbol(symbols_math, main, symbols_textord, "\\", "\\backslash");
+defineSymbol(symbols_math, main, symbols_textord, "\u2223", "|");
+defineSymbol(symbols_math, main, symbols_textord, "\u2223", "\\vert");
+defineSymbol(symbols_text, main, symbols_textord, "|", "\\textbar", true); // in T1 fontenc
+
+defineSymbol(symbols_math, main, symbols_textord, "\u2225", "\\|");
+defineSymbol(symbols_math, main, symbols_textord, "\u2225", "\\Vert");
+defineSymbol(symbols_text, main, symbols_textord, "\u2225", "\\textbardbl");
+defineSymbol(symbols_text, main, symbols_textord, "~", "\\textasciitilde");
+defineSymbol(symbols_text, main, symbols_textord, "\\", "\\textbackslash");
+defineSymbol(symbols_text, main, symbols_textord, "^", "\\textasciicircum");
+defineSymbol(symbols_math, main, rel, "\u2191", "\\uparrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D1", "\\Uparrow", true);
+defineSymbol(symbols_math, main, rel, "\u2193", "\\downarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D3", "\\Downarrow", true);
+defineSymbol(symbols_math, main, rel, "\u2195", "\\updownarrow", true);
+defineSymbol(symbols_math, main, rel, "\u21D5", "\\Updownarrow", true);
+defineSymbol(symbols_math, main, op, "\u2210", "\\coprod");
+defineSymbol(symbols_math, main, op, "\u22C1", "\\bigvee");
+defineSymbol(symbols_math, main, op, "\u22C0", "\\bigwedge");
+defineSymbol(symbols_math, main, op, "\u2A04", "\\biguplus");
+defineSymbol(symbols_math, main, op, "\u22C2", "\\bigcap");
+defineSymbol(symbols_math, main, op, "\u22C3", "\\bigcup");
+defineSymbol(symbols_math, main, op, "\u222B", "\\int");
+defineSymbol(symbols_math, main, op, "\u222B", "\\intop");
+defineSymbol(symbols_math, main, op, "\u222C", "\\iint");
+defineSymbol(symbols_math, main, op, "\u222D", "\\iiint");
+defineSymbol(symbols_math, main, op, "\u220F", "\\prod");
+defineSymbol(symbols_math, main, op, "\u2211", "\\sum");
+defineSymbol(symbols_math, main, op, "\u2A02", "\\bigotimes");
+defineSymbol(symbols_math, main, op, "\u2A01", "\\bigoplus");
+defineSymbol(symbols_math, main, op, "\u2A00", "\\bigodot");
+defineSymbol(symbols_math, main, op, "\u222E", "\\oint");
+defineSymbol(symbols_math, main, op, "\u2A06", "\\bigsqcup");
+defineSymbol(symbols_math, main, op, "\u222B", "\\smallint");
+defineSymbol(symbols_text, main, symbols_inner, "\u2026", "\\textellipsis");
+defineSymbol(symbols_math, main, symbols_inner, "\u2026", "\\mathellipsis");
+defineSymbol(symbols_text, main, symbols_inner, "\u2026", "\\ldots", true);
+defineSymbol(symbols_math, main, symbols_inner, "\u2026", "\\ldots", true);
+defineSymbol(symbols_math, main, symbols_inner, "\u22EF", "\\@cdots", true);
+defineSymbol(symbols_math, main, symbols_inner, "\u22F1", "\\ddots", true);
+defineSymbol(symbols_math, main, symbols_textord, "\u22EE", "\\varvdots"); // \vdots is a macro
+
+defineSymbol(symbols_math, main, symbols_accent, "\u02CA", "\\acute");
+defineSymbol(symbols_math, main, symbols_accent, "\u02CB", "\\grave");
+defineSymbol(symbols_math, main, symbols_accent, "\xA8", "\\ddot");
+defineSymbol(symbols_math, main, symbols_accent, "~", "\\tilde");
+defineSymbol(symbols_math, main, symbols_accent, "\u02C9", "\\bar");
+defineSymbol(symbols_math, main, symbols_accent, "\u02D8", "\\breve");
+defineSymbol(symbols_math, main, symbols_accent, "\u02C7", "\\check");
+defineSymbol(symbols_math, main, symbols_accent, "^", "\\hat");
+defineSymbol(symbols_math, main, symbols_accent, "\u20D7", "\\vec");
+defineSymbol(symbols_math, main, symbols_accent, "\u02D9", "\\dot");
+defineSymbol(symbols_math, main, symbols_accent, "\u02DA", "\\mathring"); // \imath and \jmath should be invariant to \mathrm, \mathbf, etc., so use PUA
+
+defineSymbol(symbols_math, main, mathord, "\uE131", "\\@imath");
+defineSymbol(symbols_math, main, mathord, "\uE237", "\\@jmath");
+defineSymbol(symbols_math, main, symbols_textord, "\u0131", "\u0131");
+defineSymbol(symbols_math, main, symbols_textord, "\u0237", "\u0237");
+defineSymbol(symbols_text, main, symbols_textord, "\u0131", "\\i", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0237", "\\j", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xDF", "\\ss", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xE6", "\\ae", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0153", "\\oe", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xF8", "\\o", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xC6", "\\AE", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u0152", "\\OE", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xD8", "\\O", true);
+defineSymbol(symbols_text, main, symbols_accent, "\u02CA", "\\'"); // acute
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02CB", "\\`"); // grave
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02C6", "\\^"); // circumflex
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02DC", "\\~"); // tilde
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02C9", "\\="); // macron
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02D8", "\\u"); // breve
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02D9", "\\."); // dot above
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02DA", "\\r"); // ring above
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02C7", "\\v"); // caron
+
+defineSymbol(symbols_text, main, symbols_accent, "\xA8", '\\"'); // diaresis
+
+defineSymbol(symbols_text, main, symbols_accent, "\u02DD", "\\H"); // double acute
+
+defineSymbol(symbols_text, main, symbols_accent, "\u25EF", "\\textcircled"); // \bigcirc glyph
+// These ligatures are detected and created in Parser.js's `formLigatures`.
+
+var ligatures = {
+  "--": true,
+  "---": true,
+  "``": true,
+  "''": true
+};
+defineSymbol(symbols_text, main, symbols_textord, "\u2013", "--", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u2013", "\\textendash");
+defineSymbol(symbols_text, main, symbols_textord, "\u2014", "---", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u2014", "\\textemdash");
+defineSymbol(symbols_text, main, symbols_textord, "\u2018", "`", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u2018", "\\textquoteleft");
+defineSymbol(symbols_text, main, symbols_textord, "\u2019", "'", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u2019", "\\textquoteright");
+defineSymbol(symbols_text, main, symbols_textord, "\u201C", "``", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u201C", "\\textquotedblleft");
+defineSymbol(symbols_text, main, symbols_textord, "\u201D", "''", true);
+defineSymbol(symbols_text, main, symbols_textord, "\u201D", "\\textquotedblright"); //  \degree from gensymb package
+
+defineSymbol(symbols_math, main, symbols_textord, "\xB0", "\\degree", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xB0", "\\degree"); // \textdegree from inputenc package
+
+defineSymbol(symbols_text, main, symbols_textord, "\xB0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math
+// mode, but among our fonts, only Main-Regular defines this character "163".
+
+defineSymbol(symbols_math, main, symbols_textord, "\xA3", "\\pounds");
+defineSymbol(symbols_math, main, symbols_textord, "\xA3", "\\mathsterling", true);
+defineSymbol(symbols_text, main, symbols_textord, "\xA3", "\\pounds");
+defineSymbol(symbols_text, main, symbols_textord, "\xA3", "\\textsterling", true);
+defineSymbol(symbols_math, ams, symbols_textord, "\u2720", "\\maltese");
+defineSymbol(symbols_text, ams, symbols_textord, "\u2720", "\\maltese"); // There are lots of symbols which are the same, so we add them in afterwards.
+// All of these are textords in math mode
+
+var mathTextSymbols = "0123456789/@.\"";
+
+for (var symbols_i = 0; symbols_i < mathTextSymbols.length; symbols_i++) {
+  var symbols_ch = mathTextSymbols.charAt(symbols_i);
+  defineSymbol(symbols_math, main, symbols_textord, symbols_ch, symbols_ch);
+} // All of these are textords in text mode
+
+
+var textSymbols = "0123456789!@*()-=+\";:?/.,";
+
+for (var src_symbols_i = 0; src_symbols_i < textSymbols.length; src_symbols_i++) {
+  var _ch = textSymbols.charAt(src_symbols_i);
+
+  defineSymbol(symbols_text, main, symbols_textord, _ch, _ch);
+} // All of these are textords in text mode, and mathords in math mode
+
+
+var letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
+
+for (var symbols_i2 = 0; symbols_i2 < letters.length; symbols_i2++) {
+  var _ch2 = letters.charAt(symbols_i2);
+
+  defineSymbol(symbols_math, main, mathord, _ch2, _ch2);
+  defineSymbol(symbols_text, main, symbols_textord, _ch2, _ch2);
+} // Blackboard bold and script letters in Unicode range
+
+
+defineSymbol(symbols_math, ams, symbols_textord, "C", "\u2102"); // blackboard bold
+
+defineSymbol(symbols_text, ams, symbols_textord, "C", "\u2102");
+defineSymbol(symbols_math, ams, symbols_textord, "H", "\u210D");
+defineSymbol(symbols_text, ams, symbols_textord, "H", "\u210D");
+defineSymbol(symbols_math, ams, symbols_textord, "N", "\u2115");
+defineSymbol(symbols_text, ams, symbols_textord, "N", "\u2115");
+defineSymbol(symbols_math, ams, symbols_textord, "P", "\u2119");
+defineSymbol(symbols_text, ams, symbols_textord, "P", "\u2119");
+defineSymbol(symbols_math, ams, symbols_textord, "Q", "\u211A");
+defineSymbol(symbols_text, ams, symbols_textord, "Q", "\u211A");
+defineSymbol(symbols_math, ams, symbols_textord, "R", "\u211D");
+defineSymbol(symbols_text, ams, symbols_textord, "R", "\u211D");
+defineSymbol(symbols_math, ams, symbols_textord, "Z", "\u2124");
+defineSymbol(symbols_text, ams, symbols_textord, "Z", "\u2124");
+defineSymbol(symbols_math, main, mathord, "h", "\u210E"); // italic h, Planck constant
+
+defineSymbol(symbols_text, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters.
+// We support some letters in the Unicode range U+1D400 to U+1D7FF,
+// Mathematical Alphanumeric Symbols.
+// Some editors do not deal well with wide characters. So don't write the
+// string into this file. Instead, create the string from the surrogate pair.
+
+var symbols_wideChar = "";
+
+for (var symbols_i3 = 0; symbols_i3 < letters.length; symbols_i3++) {
+  var _ch3 = letters.charAt(symbols_i3); // The hex numbers in the next line are a surrogate pair.
+  // 0xD835 is the high surrogate for all letters in the range we support.
+  // 0xDC00 is the low surrogate for bold A.
+
+
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDC00 + symbols_i3); // A-Z a-z bold
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDC34 + symbols_i3); // A-Z a-z italic
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDC68 + symbols_i3); // A-Z a-z bold italic
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDD04 + symbols_i3); // A-Z a-z Fractur
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDDA0 + symbols_i3); // A-Z a-z sans-serif
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDDD4 + symbols_i3); // A-Z a-z sans bold
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDE08 + symbols_i3); // A-Z a-z sans italic
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDE70 + symbols_i3); // A-Z a-z monospace
+
+  defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+
+  if (symbols_i3 < 26) {
+    // KaTeX fonts have only capital letters for blackboard bold and script.
+    // See exception for k below.
+    symbols_wideChar = String.fromCharCode(0xD835, 0xDD38 + symbols_i3); // A-Z double struck
+
+    defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+    defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+    symbols_wideChar = String.fromCharCode(0xD835, 0xDC9C + symbols_i3); // A-Z script
+
+    defineSymbol(symbols_math, main, mathord, _ch3, symbols_wideChar);
+    defineSymbol(symbols_text, main, symbols_textord, _ch3, symbols_wideChar);
+  } // TODO: Add bold script when it is supported by a KaTeX font.
+
+} // "k" is the only double struck lower case letter in the KaTeX fonts.
+
+
+symbols_wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck
+
+defineSymbol(symbols_math, main, mathord, "k", symbols_wideChar);
+defineSymbol(symbols_text, main, symbols_textord, "k", symbols_wideChar); // Next, some wide character numerals
+
+for (var symbols_i4 = 0; symbols_i4 < 10; symbols_i4++) {
+  var _ch4 = symbols_i4.toString();
+
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFCE + symbols_i4); // 0-9 bold
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFE2 + symbols_i4); // 0-9 sans serif
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFEC + symbols_i4); // 0-9 bold sans
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+  symbols_wideChar = String.fromCharCode(0xD835, 0xDFF6 + symbols_i4); // 0-9 monospace
+
+  defineSymbol(symbols_math, main, mathord, _ch4, symbols_wideChar);
+  defineSymbol(symbols_text, main, symbols_textord, _ch4, symbols_wideChar);
+} // We add these Latin-1 letters as symbols for backwards-compatibility,
+// but they are not actually in the font, nor are they supported by the
+// Unicode accent mechanism, so they fall back to Times font and look ugly.
+// TODO(edemaine): Fix this.
+
+
+var extraLatin = "\xC7\xD0\xDE\xE7\xFE";
+
+for (var _i5 = 0; _i5 < extraLatin.length; _i5++) {
+  var _ch5 = extraLatin.charAt(_i5);
+
+  defineSymbol(symbols_math, main, mathord, _ch5, _ch5);
+  defineSymbol(symbols_text, main, symbols_textord, _ch5, _ch5);
+}
+// CONCATENATED MODULE: ./src/wide-character.js
+/**
+ * This file provides support for Unicode range U+1D400 to U+1D7FF,
+ * Mathematical Alphanumeric Symbols.
+ *
+ * Function wideCharacterFont takes a wide character as input and returns
+ * the font information necessary to render it properly.
+ */
+
+/**
+ * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf
+ * That document sorts characters into groups by font type, say bold or italic.
+ *
+ * In the arrays below, each subarray consists three elements:
+ *      * The CSS class of that group when in math mode.
+ *      * The CSS class of that group when in text mode.
+ *      * The font name, so that KaTeX can get font metrics.
+ */
+
+var wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright
+["mathbf", "textbf", "Main-Bold"], // a-z bold upright
+["mathnormal", "textit", "Math-Italic"], // A-Z italic
+["mathnormal", "textit", "Math-Italic"], // a-z italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic
+// Map fancy A-Z letters to script, not calligraphic.
+// This aligns with unicode-math and math fonts (except Cambria Math).
+["mathscr", "textscr", "Script-Regular"], // A-Z script
+["", "", ""], // a-z script.  No font
+["", "", ""], // A-Z bold script. No font
+["", "", ""], // a-z bold script. No font
+["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur
+["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur
+["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck
+["mathbb", "textbb", "AMS-Regular"], // k double-struck
+["", "", ""], // A-Z bold Fraktur No font metrics
+["", "", ""], // a-z bold Fraktur.   No font.
+["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif
+["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif
+["", "", ""], // A-Z bold italic sans. No font
+["", "", ""], // a-z bold italic sans. No font
+["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace
+["mathtt", "texttt", "Typewriter-Regular"]];
+var wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold
+["", "", ""], // 0-9 double-struck. No KaTeX font.
+["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif
+["mathtt", "texttt", "Typewriter-Regular"]];
+var wide_character_wideCharacterFont = function wideCharacterFont(wideChar, mode) {
+  // IE doesn't support codePointAt(). So work with the surrogate pair.
+  var H = wideChar.charCodeAt(0); // high surrogate
+
+  var L = wideChar.charCodeAt(1); // low surrogate
+
+  var codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000;
+  var j = mode === "math" ? 0 : 1; // column index for CSS class.
+
+  if (0x1D400 <= codePoint && codePoint < 0x1D6A4) {
+    // wideLatinLetterData contains exactly 26 chars on each row.
+    // So we can calculate the relevant row. No traverse necessary.
+    var i = Math.floor((codePoint - 0x1D400) / 26);
+    return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]];
+  } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) {
+    // Numerals, ten per row.
+    var _i = Math.floor((codePoint - 0x1D7CE) / 10);
+
+    return [wideNumeralData[_i][2], wideNumeralData[_i][j]];
+  } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) {
+    // dotless i or j
+    return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]];
+  } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) {
+    // Greek letters. Not supported, yet.
+    return ["", ""];
+  } else {
+    // We don't support any wide characters outside 1D400–1D7FF.
+    throw new src_ParseError("Unsupported character: " + wideChar);
+  }
+};
+// CONCATENATED MODULE: ./src/Options.js
+/**
+ * This file contains information about the options that the Parser carries
+ * around with it while parsing. Data is held in an `Options` object, and when
+ * recursing, a new `Options` object can be created with the `.with*` and
+ * `.reset` functions.
+ */
+
+var sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize].
+// The size mappings are taken from TeX with \normalsize=10pt.
+[1, 1, 1], // size1: [5, 5, 5]              \tiny
+[2, 1, 1], // size2: [6, 5, 5]
+[3, 1, 1], // size3: [7, 5, 5]              \scriptsize
+[4, 2, 1], // size4: [8, 6, 5]              \footnotesize
+[5, 2, 1], // size5: [9, 6, 5]              \small
+[6, 3, 1], // size6: [10, 7, 5]             \normalsize
+[7, 4, 2], // size7: [12, 8, 6]             \large
+[8, 6, 3], // size8: [14.4, 10, 7]          \Large
+[9, 7, 6], // size9: [17.28, 12, 10]        \LARGE
+[10, 8, 7], // size10: [20.74, 14.4, 12]     \huge
+[11, 10, 9]];
+var sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if
+// you change size indexes, change that function.
+0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488];
+
+var sizeAtStyle = function sizeAtStyle(size, style) {
+  return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1];
+}; // In these types, "" (empty string) means "no change".
+
+
+/**
+ * This is the main options class. It contains the current style, size, color,
+ * and font.
+ *
+ * Options objects should not be modified. To create a new Options with
+ * different properties, call a `.having*` method.
+ */
+var Options_Options =
+/*#__PURE__*/
+function () {
+  // A font family applies to a group of fonts (i.e. SansSerif), while a font
+  // represents a specific font (i.e. SansSerif Bold).
+  // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm
+
+  /**
+   * The base size index.
+   */
+  function Options(data) {
+    this.style = void 0;
+    this.color = void 0;
+    this.size = void 0;
+    this.textSize = void 0;
+    this.phantom = void 0;
+    this.font = void 0;
+    this.fontFamily = void 0;
+    this.fontWeight = void 0;
+    this.fontShape = void 0;
+    this.sizeMultiplier = void 0;
+    this.maxSize = void 0;
+    this.minRuleThickness = void 0;
+    this._fontMetrics = void 0;
+    this.style = data.style;
+    this.color = data.color;
+    this.size = data.size || Options.BASESIZE;
+    this.textSize = data.textSize || this.size;
+    this.phantom = !!data.phantom;
+    this.font = data.font || "";
+    this.fontFamily = data.fontFamily || "";
+    this.fontWeight = data.fontWeight || '';
+    this.fontShape = data.fontShape || '';
+    this.sizeMultiplier = sizeMultipliers[this.size - 1];
+    this.maxSize = data.maxSize;
+    this.minRuleThickness = data.minRuleThickness;
+    this._fontMetrics = undefined;
+  }
+  /**
+   * Returns a new options object with the same properties as "this".  Properties
+   * from "extension" will be copied to the new options object.
+   */
+
+
+  var _proto = Options.prototype;
+
+  _proto.extend = function extend(extension) {
+    var data = {
+      style: this.style,
+      size: this.size,
+      textSize: this.textSize,
+      color: this.color,
+      phantom: this.phantom,
+      font: this.font,
+      fontFamily: this.fontFamily,
+      fontWeight: this.fontWeight,
+      fontShape: this.fontShape,
+      maxSize: this.maxSize,
+      minRuleThickness: this.minRuleThickness
+    };
+
+    for (var key in extension) {
+      if (extension.hasOwnProperty(key)) {
+        data[key] = extension[key];
+      }
+    }
+
+    return new Options(data);
+  }
+  /**
+   * Return an options object with the given style. If `this.style === style`,
+   * returns `this`.
+   */
+  ;
+
+  _proto.havingStyle = function havingStyle(style) {
+    if (this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: sizeAtStyle(this.textSize, style)
+      });
+    }
+  }
+  /**
+   * Return an options object with a cramped version of the current style. If
+   * the current style is cramped, returns `this`.
+   */
+  ;
+
+  _proto.havingCrampedStyle = function havingCrampedStyle() {
+    return this.havingStyle(this.style.cramp());
+  }
+  /**
+   * Return an options object with the given size and in at least `\textstyle`.
+   * Returns `this` if appropriate.
+   */
+  ;
+
+  _proto.havingSize = function havingSize(size) {
+    if (this.size === size && this.textSize === size) {
+      return this;
+    } else {
+      return this.extend({
+        style: this.style.text(),
+        size: size,
+        textSize: size,
+        sizeMultiplier: sizeMultipliers[size - 1]
+      });
+    }
+  }
+  /**
+   * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted,
+   * changes to at least `\textstyle`.
+   */
+  ;
+
+  _proto.havingBaseStyle = function havingBaseStyle(style) {
+    style = style || this.style.text();
+    var wantSize = sizeAtStyle(Options.BASESIZE, style);
+
+    if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: wantSize
+      });
+    }
+  }
+  /**
+   * Remove the effect of sizing changes such as \Huge.
+   * Keep the effect of the current style, such as \scriptstyle.
+   */
+  ;
+
+  _proto.havingBaseSizing = function havingBaseSizing() {
+    var size;
+
+    switch (this.style.id) {
+      case 4:
+      case 5:
+        size = 3; // normalsize in scriptstyle
+
+        break;
+
+      case 6:
+      case 7:
+        size = 1; // normalsize in scriptscriptstyle
+
+        break;
+
+      default:
+        size = 6;
+      // normalsize in textstyle or displaystyle
+    }
+
+    return this.extend({
+      style: this.style.text(),
+      size: size
+    });
+  }
+  /**
+   * Create a new options object with the given color.
+   */
+  ;
+
+  _proto.withColor = function withColor(color) {
+    return this.extend({
+      color: color
+    });
+  }
+  /**
+   * Create a new options object with "phantom" set to true.
+   */
+  ;
+
+  _proto.withPhantom = function withPhantom() {
+    return this.extend({
+      phantom: true
+    });
+  }
+  /**
+   * Creates a new options object with the given math font or old text font.
+   * @type {[type]}
+   */
+  ;
+
+  _proto.withFont = function withFont(font) {
+    return this.extend({
+      font: font
+    });
+  }
+  /**
+   * Create a new options objects with the given fontFamily.
+   */
+  ;
+
+  _proto.withTextFontFamily = function withTextFontFamily(fontFamily) {
+    return this.extend({
+      fontFamily: fontFamily,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+  ;
+
+  _proto.withTextFontWeight = function withTextFontWeight(fontWeight) {
+    return this.extend({
+      fontWeight: fontWeight,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+  ;
+
+  _proto.withTextFontShape = function withTextFontShape(fontShape) {
+    return this.extend({
+      fontShape: fontShape,
+      font: ""
+    });
+  }
+  /**
+   * Return the CSS sizing classes required to switch from enclosing options
+   * `oldOptions` to `this`. Returns an array of classes.
+   */
+  ;
+
+  _proto.sizingClasses = function sizingClasses(oldOptions) {
+    if (oldOptions.size !== this.size) {
+      return ["sizing", "reset-size" + oldOptions.size, "size" + this.size];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the CSS sizing classes required to switch to the base size. Like
+   * `this.havingSize(BASESIZE).sizingClasses(this)`.
+   */
+  ;
+
+  _proto.baseSizingClasses = function baseSizingClasses() {
+    if (this.size !== Options.BASESIZE) {
+      return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the font metrics for this size.
+   */
+  ;
+
+  _proto.fontMetrics = function fontMetrics() {
+    if (!this._fontMetrics) {
+      this._fontMetrics = getGlobalMetrics(this.size);
+    }
+
+    return this._fontMetrics;
+  }
+  /**
+   * Gets the CSS color of the current options object
+   */
+  ;
+
+  _proto.getColor = function getColor() {
+    if (this.phantom) {
+      return "transparent";
+    } else {
+      return this.color;
+    }
+  };
+
+  return Options;
+}();
+
+Options_Options.BASESIZE = 6;
+/* harmony default export */ var src_Options = (Options_Options);
+// CONCATENATED MODULE: ./src/units.js
+/**
+ * This file does conversion between units.  In particular, it provides
+ * calculateSize to convert other units into ems.
+ */
+
+ // This table gives the number of TeX pts in one of each *absolute* TeX unit.
+// Thus, multiplying a length by this number converts the length from units
+// into pts.  Dividing the result by ptPerEm gives the number of ems
+// *assuming* a font size of ptPerEm (normal size, normal style).
+
+var ptPerUnit = {
+  // https://en.wikibooks.org/wiki/LaTeX/Lengths and
+  // https://tex.stackexchange.com/a/8263
+  "pt": 1,
+  // TeX point
+  "mm": 7227 / 2540,
+  // millimeter
+  "cm": 7227 / 254,
+  // centimeter
+  "in": 72.27,
+  // inch
+  "bp": 803 / 800,
+  // big (PostScript) points
+  "pc": 12,
+  // pica
+  "dd": 1238 / 1157,
+  // didot
+  "cc": 14856 / 1157,
+  // cicero (12 didot)
+  "nd": 685 / 642,
+  // new didot
+  "nc": 1370 / 107,
+  // new cicero (12 new didot)
+  "sp": 1 / 65536,
+  // scaled point (TeX's internal smallest unit)
+  // https://tex.stackexchange.com/a/41371
+  "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX
+
+}; // Dictionary of relative units, for fast validity testing.
+
+var relativeUnit = {
+  "ex": true,
+  "em": true,
+  "mu": true
+};
+
+/**
+ * Determine whether the specified unit (either a string defining the unit
+ * or a "size" parse node containing a unit field) is valid.
+ */
+var validUnit = function validUnit(unit) {
+  if (typeof unit !== "string") {
+    unit = unit.unit;
+  }
+
+  return unit in ptPerUnit || unit in relativeUnit || unit === "ex";
+};
+/*
+ * Convert a "size" parse node (with numeric "number" and string "unit" fields,
+ * as parsed by functions.js argType "size") into a CSS em value for the
+ * current style/scale.  `options` gives the current options.
+ */
+
+var units_calculateSize = function calculateSize(sizeValue, options) {
+  var scale;
+
+  if (sizeValue.unit in ptPerUnit) {
+    // Absolute units
+    scale = ptPerUnit[sizeValue.unit] // Convert unit to pt
+    / options.fontMetrics().ptPerEm // Convert pt to CSS em
+    / options.sizeMultiplier; // Unscale to make absolute units
+  } else if (sizeValue.unit === "mu") {
+    // `mu` units scale with scriptstyle/scriptscriptstyle.
+    scale = options.fontMetrics().cssEmPerMu;
+  } else {
+    // Other relative units always refer to the *textstyle* font
+    // in the current size.
+    var unitOptions;
+
+    if (options.style.isTight()) {
+      // isTight() means current style is script/scriptscript.
+      unitOptions = options.havingStyle(options.style.text());
+    } else {
+      unitOptions = options;
+    } // TODO: In TeX these units are relative to the quad of the current
+    // *text* font, e.g. cmr10. KaTeX instead uses values from the
+    // comparably-sized *Computer Modern symbol* font. At 10pt, these
+    // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641;
+    // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$.
+    // TeX \showlists shows a kern of 1.13889 * fontsize;
+    // KaTeX shows a kern of 1.171 * fontsize.
+
+
+    if (sizeValue.unit === "ex") {
+      scale = unitOptions.fontMetrics().xHeight;
+    } else if (sizeValue.unit === "em") {
+      scale = unitOptions.fontMetrics().quad;
+    } else {
+      throw new src_ParseError("Invalid unit: '" + sizeValue.unit + "'");
+    }
+
+    if (unitOptions !== options) {
+      scale *= unitOptions.sizeMultiplier / options.sizeMultiplier;
+    }
+  }
+
+  return Math.min(sizeValue.number * scale, options.maxSize);
+};
+// CONCATENATED MODULE: ./src/buildCommon.js
+/* eslint no-console:0 */
+
+/**
+ * This module contains general functions that can be used for building
+ * different kinds of domTree nodes in a consistent manner.
+ */
+
+
+
+
+
+
+
+/**
+ * Looks up the given symbol in fontMetrics, after applying any symbol
+ * replacements defined in symbol.js
+ */
+var buildCommon_lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this.
+fontName, mode) {
+  // Replace the value with its replaced value from symbol.js
+  if (src_symbols[mode][value] && src_symbols[mode][value].replace) {
+    value = src_symbols[mode][value].replace;
+  }
+
+  return {
+    value: value,
+    metrics: getCharacterMetrics(value, fontName, mode)
+  };
+};
+/**
+ * Makes a symbolNode after translation via the list of symbols in symbols.js.
+ * Correctly pulls out metrics for the character, and optionally takes a list of
+ * classes to be attached to the node.
+ *
+ * TODO: make argument order closer to makeSpan
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ * TODO(#953): Make `options` mandatory and always pass it in.
+ */
+
+
+var buildCommon_makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
+  var lookup = buildCommon_lookupSymbol(value, fontName, mode);
+  var metrics = lookup.metrics;
+  value = lookup.value;
+  var symbolNode;
+
+  if (metrics) {
+    var italic = metrics.italic;
+
+    if (mode === "text" || options && options.font === "mathit") {
+      italic = 0;
+    }
+
+    symbolNode = new domTree_SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes);
+  } else {
+    // TODO(emily): Figure out a good way to only print this in development
+    typeof console !== "undefined" && console.warn("No character metrics " + ("for '" + value + "' in style '" + fontName + "' and mode '" + mode + "'"));
+    symbolNode = new domTree_SymbolNode(value, 0, 0, 0, 0, 0, classes);
+  }
+
+  if (options) {
+    symbolNode.maxFontSize = options.sizeMultiplier;
+
+    if (options.style.isTight()) {
+      symbolNode.classes.push("mtight");
+    }
+
+    var color = options.getColor();
+
+    if (color) {
+      symbolNode.style.color = color;
+    }
+  }
+
+  return symbolNode;
+};
+/**
+ * Makes a symbol in Main-Regular or AMS-Regular.
+ * Used for rel, bin, open, close, inner, and punct.
+ */
+
+
+var buildCommon_mathsym = function mathsym(value, mode, options, classes) {
+  if (classes === void 0) {
+    classes = [];
+  }
+
+  // Decide what font to render the symbol in by its entry in the symbols
+  // table.
+  // Have a special case for when the value = \ because the \ is used as a
+  // textord in unsupported command errors but cannot be parsed as a regular
+  // text ordinal and is therefore not present as a symbol in the symbols
+  // table for text, as well as a special case for boldsymbol because it
+  // can be used for bold + and -
+  if (options.font === "boldsymbol" && buildCommon_lookupSymbol(value, "Main-Bold", mode).metrics) {
+    return buildCommon_makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"]));
+  } else if (value === "\\" || src_symbols[mode][value].font === "main") {
+    return buildCommon_makeSymbol(value, "Main-Regular", mode, options, classes);
+  } else {
+    return buildCommon_makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"]));
+  }
+};
+/**
+ * Determines which of the two font names (Main-Bold and Math-BoldItalic) and
+ * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol",
+ * depending on the symbol.  Use this function instead of fontMap for font
+ * "boldsymbol".
+ */
+
+
+var boldsymbol = function boldsymbol(value, mode, options, classes, type) {
+  if (type !== "textord" && buildCommon_lookupSymbol(value, "Math-BoldItalic", mode).metrics) {
+    return {
+      fontName: "Math-BoldItalic",
+      fontClass: "boldsymbol"
+    };
+  } else {
+    // Some glyphs do not exist in Math-BoldItalic so we need to use
+    // Main-Bold instead.
+    return {
+      fontName: "Main-Bold",
+      fontClass: "mathbf"
+    };
+  }
+};
+/**
+ * Makes either a mathord or textord in the correct font and color.
+ */
+
+
+var buildCommon_makeOrd = function makeOrd(group, options, type) {
+  var mode = group.mode;
+  var text = group.text;
+  var classes = ["mord"]; // Math mode or Old font (i.e. \rm)
+
+  var isFont = mode === "math" || mode === "text" && options.font;
+  var fontOrFamily = isFont ? options.font : options.fontFamily;
+
+  if (text.charCodeAt(0) === 0xD835) {
+    // surrogate pairs get special treatment
+    var _wideCharacterFont = wide_character_wideCharacterFont(text, mode),
+        wideFontName = _wideCharacterFont[0],
+        wideFontClass = _wideCharacterFont[1];
+
+    return buildCommon_makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass));
+  } else if (fontOrFamily) {
+    var fontName;
+    var fontClasses;
+
+    if (fontOrFamily === "boldsymbol") {
+      var fontData = boldsymbol(text, mode, options, classes, type);
+      fontName = fontData.fontName;
+      fontClasses = [fontData.fontClass];
+    } else if (isFont) {
+      fontName = fontMap[fontOrFamily].fontName;
+      fontClasses = [fontOrFamily];
+    } else {
+      fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape);
+      fontClasses = [fontOrFamily, options.fontWeight, options.fontShape];
+    }
+
+    if (buildCommon_lookupSymbol(text, fontName, mode).metrics) {
+      return buildCommon_makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
+    } else if (ligatures.hasOwnProperty(text) && fontName.substr(0, 10) === "Typewriter") {
+      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
+      var parts = [];
+
+      for (var i = 0; i < text.length; i++) {
+        parts.push(buildCommon_makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses)));
+      }
+
+      return buildCommon_makeFragment(parts);
+    }
+  } // Makes a symbol in the default font for mathords and textords.
+
+
+  if (type === "mathord") {
+    return buildCommon_makeSymbol(text, "Math-Italic", mode, options, classes.concat(["mathnormal"]));
+  } else if (type === "textord") {
+    var font = src_symbols[mode][text] && src_symbols[mode][text].font;
+
+    if (font === "ams") {
+      var _fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape);
+
+      return buildCommon_makeSymbol(text, _fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape));
+    } else if (font === "main" || !font) {
+      var _fontName2 = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
+
+      return buildCommon_makeSymbol(text, _fontName2, mode, options, classes.concat(options.fontWeight, options.fontShape));
+    } else {
+      // fonts added by plugins
+      var _fontName3 = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class
+
+
+      return buildCommon_makeSymbol(text, _fontName3, mode, options, classes.concat(_fontName3, options.fontWeight, options.fontShape));
+    }
+  } else {
+    throw new Error("unexpected type: " + type + " in makeOrd");
+  }
+};
+/**
+ * Returns true if subsequent symbolNodes have the same classes, skew, maxFont,
+ * and styles.
+ */
+
+
+var buildCommon_canCombine = function canCombine(prev, next) {
+  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
+    return false;
+  }
+
+  for (var style in prev.style) {
+    if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
+      return false;
+    }
+  }
+
+  for (var _style in next.style) {
+    if (next.style.hasOwnProperty(_style) && prev.style[_style] !== next.style[_style]) {
+      return false;
+    }
+  }
+
+  return true;
+};
+/**
+ * Combine consequetive domTree.symbolNodes into a single symbolNode.
+ * Note: this function mutates the argument.
+ */
+
+
+var buildCommon_tryCombineChars = function tryCombineChars(chars) {
+  for (var i = 0; i < chars.length - 1; i++) {
+    var prev = chars[i];
+    var next = chars[i + 1];
+
+    if (prev instanceof domTree_SymbolNode && next instanceof domTree_SymbolNode && buildCommon_canCombine(prev, next)) {
+      prev.text += next.text;
+      prev.height = Math.max(prev.height, next.height);
+      prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use
+      // it to add padding to the right of the span created from
+      // the combined characters.
+
+      prev.italic = next.italic;
+      chars.splice(i + 1, 1);
+      i--;
+    }
+  }
+
+  return chars;
+};
+/**
+ * Calculate the height, depth, and maxFontSize of an element based on its
+ * children.
+ */
+
+
+var sizeElementFromChildren = function sizeElementFromChildren(elem) {
+  var height = 0;
+  var depth = 0;
+  var maxFontSize = 0;
+
+  for (var i = 0; i < elem.children.length; i++) {
+    var child = elem.children[i];
+
+    if (child.height > height) {
+      height = child.height;
+    }
+
+    if (child.depth > depth) {
+      depth = child.depth;
+    }
+
+    if (child.maxFontSize > maxFontSize) {
+      maxFontSize = child.maxFontSize;
+    }
+  }
+
+  elem.height = height;
+  elem.depth = depth;
+  elem.maxFontSize = maxFontSize;
+};
+/**
+ * Makes a span with the given list of classes, list of children, and options.
+ *
+ * TODO(#953): Ensure that `options` is always provided (currently some call
+ * sites don't pass it) and make the type below mandatory.
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ */
+
+
+var buildCommon_makeSpan = function makeSpan(classes, children, options, style) {
+  var span = new domTree_Span(classes, children, options, style);
+  sizeElementFromChildren(span);
+  return span;
+}; // SVG one is simpler -- doesn't require height, depth, max-font setting.
+// This is also a separate method for typesafety.
+
+
+var buildCommon_makeSvgSpan = function makeSvgSpan(classes, children, options, style) {
+  return new domTree_Span(classes, children, options, style);
+};
+
+var makeLineSpan = function makeLineSpan(className, options, thickness) {
+  var line = buildCommon_makeSpan([className], [], options);
+  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
+  line.style.borderBottomWidth = line.height + "em";
+  line.maxFontSize = 1.0;
+  return line;
+};
+/**
+ * Makes an anchor with the given href, list of classes, list of children,
+ * and options.
+ */
+
+
+var buildCommon_makeAnchor = function makeAnchor(href, classes, children, options) {
+  var anchor = new domTree_Anchor(href, classes, children, options);
+  sizeElementFromChildren(anchor);
+  return anchor;
+};
+/**
+ * Makes a document fragment with the given list of children.
+ */
+
+
+var buildCommon_makeFragment = function makeFragment(children) {
+  var fragment = new tree_DocumentFragment(children);
+  sizeElementFromChildren(fragment);
+  return fragment;
+};
+/**
+ * Wraps group in a span if it's a document fragment, allowing to apply classes
+ * and styles
+ */
+
+
+var buildCommon_wrapFragment = function wrapFragment(group, options) {
+  if (group instanceof tree_DocumentFragment) {
+    return buildCommon_makeSpan([], [group], options);
+  }
+
+  return group;
+}; // These are exact object types to catch typos in the names of the optional fields.
+
+
+// Computes the updated `children` list and the overall depth.
+//
+// This helper function for makeVList makes it easier to enforce type safety by
+// allowing early exits (returns) in the logic.
+var getVListChildrenAndDepth = function getVListChildrenAndDepth(params) {
+  if (params.positionType === "individualShift") {
+    var oldChildren = params.children;
+    var children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be
+    // shifted to the correct specified shift
+
+    var _depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
+
+    var currPos = _depth;
+
+    for (var i = 1; i < oldChildren.length; i++) {
+      var diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth;
+      var size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth);
+      currPos = currPos + diff;
+      children.push({
+        type: "kern",
+        size: size
+      });
+      children.push(oldChildren[i]);
+    }
+
+    return {
+      children: children,
+      depth: _depth
+    };
+  }
+
+  var depth;
+
+  if (params.positionType === "top") {
+    // We always start at the bottom, so calculate the bottom by adding up
+    // all the sizes
+    var bottom = params.positionData;
+
+    for (var _i = 0; _i < params.children.length; _i++) {
+      var child = params.children[_i];
+      bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth;
+    }
+
+    depth = bottom;
+  } else if (params.positionType === "bottom") {
+    depth = -params.positionData;
+  } else {
+    var firstChild = params.children[0];
+
+    if (firstChild.type !== "elem") {
+      throw new Error('First child must have type "elem".');
+    }
+
+    if (params.positionType === "shift") {
+      depth = -firstChild.elem.depth - params.positionData;
+    } else if (params.positionType === "firstBaseline") {
+      depth = -firstChild.elem.depth;
+    } else {
+      throw new Error("Invalid positionType " + params.positionType + ".");
+    }
+  }
+
+  return {
+    children: params.children,
+    depth: depth
+  };
+};
+/**
+ * Makes a vertical list by stacking elements and kerns on top of each other.
+ * Allows for many different ways of specifying the positioning method.
+ *
+ * See VListParam documentation above.
+ */
+
+
+var buildCommon_makeVList = function makeVList(params, options) {
+  var _getVListChildrenAndD = getVListChildrenAndDepth(params),
+      children = _getVListChildrenAndD.children,
+      depth = _getVListChildrenAndD.depth; // Create a strut that is taller than any list item. The strut is added to
+  // each item, where it will determine the item's baseline. Since it has
+  // `overflow:hidden`, the strut's top edge will sit on the item's line box's
+  // top edge and the strut's bottom edge will sit on the item's baseline,
+  // with no additional line-height spacing. This allows the item baseline to
+  // be positioned precisely without worrying about font ascent and
+  // line-height.
+
+
+  var pstrutSize = 0;
+
+  for (var i = 0; i < children.length; i++) {
+    var child = children[i];
+
+    if (child.type === "elem") {
+      var elem = child.elem;
+      pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height);
+    }
+  }
+
+  pstrutSize += 2;
+  var pstrut = buildCommon_makeSpan(["pstrut"], []);
+  pstrut.style.height = pstrutSize + "em"; // Create a new list of actual children at the correct offsets
+
+  var realChildren = [];
+  var minPos = depth;
+  var maxPos = depth;
+  var currPos = depth;
+
+  for (var _i2 = 0; _i2 < children.length; _i2++) {
+    var _child = children[_i2];
+
+    if (_child.type === "kern") {
+      currPos += _child.size;
+    } else {
+      var _elem = _child.elem;
+      var classes = _child.wrapperClasses || [];
+      var style = _child.wrapperStyle || {};
+      var childWrap = buildCommon_makeSpan(classes, [pstrut, _elem], undefined, style);
+      childWrap.style.top = -pstrutSize - currPos - _elem.depth + "em";
+
+      if (_child.marginLeft) {
+        childWrap.style.marginLeft = _child.marginLeft;
+      }
+
+      if (_child.marginRight) {
+        childWrap.style.marginRight = _child.marginRight;
+      }
+
+      realChildren.push(childWrap);
+      currPos += _elem.height + _elem.depth;
+    }
+
+    minPos = Math.min(minPos, currPos);
+    maxPos = Math.max(maxPos, currPos);
+  } // The vlist contents go in a table-cell with `vertical-align:bottom`.
+  // This cell's bottom edge will determine the containing table's baseline
+  // without overly expanding the containing line-box.
+
+
+  var vlist = buildCommon_makeSpan(["vlist"], realChildren);
+  vlist.style.height = maxPos + "em"; // A second row is used if necessary to represent the vlist's depth.
+
+  var rows;
+
+  if (minPos < 0) {
+    // We will define depth in an empty span with display: table-cell.
+    // It should render with the height that we define. But Chrome, in
+    // contenteditable mode only, treats that span as if it contains some
+    // text content. And that min-height over-rides our desired height.
+    // So we put another empty span inside the depth strut span.
+    var emptySpan = buildCommon_makeSpan([], []);
+    var depthStrut = buildCommon_makeSpan(["vlist"], [emptySpan]);
+    depthStrut.style.height = -minPos + "em"; // Safari wants the first row to have inline content; otherwise it
+    // puts the bottom of the *second* row on the baseline.
+
+    var topStrut = buildCommon_makeSpan(["vlist-s"], [new domTree_SymbolNode("\u200B")]);
+    rows = [buildCommon_makeSpan(["vlist-r"], [vlist, topStrut]), buildCommon_makeSpan(["vlist-r"], [depthStrut])];
+  } else {
+    rows = [buildCommon_makeSpan(["vlist-r"], [vlist])];
+  }
+
+  var vtable = buildCommon_makeSpan(["vlist-t"], rows);
+
+  if (rows.length === 2) {
+    vtable.classes.push("vlist-t2");
+  }
+
+  vtable.height = maxPos;
+  vtable.depth = -minPos;
+  return vtable;
+}; // Glue is a concept from TeX which is a flexible space between elements in
+// either a vertical or horizontal list. In KaTeX, at least for now, it's
+// static space between elements in a horizontal layout.
+
+
+var buildCommon_makeGlue = function makeGlue(measurement, options) {
+  // Make an empty span for the space
+  var rule = buildCommon_makeSpan(["mspace"], [], options);
+  var size = units_calculateSize(measurement, options);
+  rule.style.marginRight = size + "em";
+  return rule;
+}; // Takes font options, and returns the appropriate fontLookup name
+
+
+var retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) {
+  var baseFontName = "";
+
+  switch (fontFamily) {
+    case "amsrm":
+      baseFontName = "AMS";
+      break;
+
+    case "textrm":
+      baseFontName = "Main";
+      break;
+
+    case "textsf":
+      baseFontName = "SansSerif";
+      break;
+
+    case "texttt":
+      baseFontName = "Typewriter";
+      break;
+
+    default:
+      baseFontName = fontFamily;
+    // use fonts added by a plugin
+  }
+
+  var fontStylesName;
+
+  if (fontWeight === "textbf" && fontShape === "textit") {
+    fontStylesName = "BoldItalic";
+  } else if (fontWeight === "textbf") {
+    fontStylesName = "Bold";
+  } else if (fontWeight === "textit") {
+    fontStylesName = "Italic";
+  } else {
+    fontStylesName = "Regular";
+  }
+
+  return baseFontName + "-" + fontStylesName;
+};
+/**
+ * Maps TeX font commands to objects containing:
+ * - variant: string used for "mathvariant" attribute in buildMathML.js
+ * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics
+ */
+// A map between tex font commands an MathML mathvariant attribute values
+
+
+var fontMap = {
+  // styles
+  "mathbf": {
+    variant: "bold",
+    fontName: "Main-Bold"
+  },
+  "mathrm": {
+    variant: "normal",
+    fontName: "Main-Regular"
+  },
+  "textit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  "mathit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  "mathnormal": {
+    variant: "italic",
+    fontName: "Math-Italic"
+  },
+  // "boldsymbol" is missing because they require the use of multiple fonts:
+  // Math-BoldItalic and Main-Bold.  This is handled by a special case in
+  // makeOrd which ends up calling boldsymbol.
+  // families
+  "mathbb": {
+    variant: "double-struck",
+    fontName: "AMS-Regular"
+  },
+  "mathcal": {
+    variant: "script",
+    fontName: "Caligraphic-Regular"
+  },
+  "mathfrak": {
+    variant: "fraktur",
+    fontName: "Fraktur-Regular"
+  },
+  "mathscr": {
+    variant: "script",
+    fontName: "Script-Regular"
+  },
+  "mathsf": {
+    variant: "sans-serif",
+    fontName: "SansSerif-Regular"
+  },
+  "mathtt": {
+    variant: "monospace",
+    fontName: "Typewriter-Regular"
+  }
+};
+var svgData = {
+  //   path, width, height
+  vec: ["vec", 0.471, 0.714],
+  // values from the font glyph
+  oiintSize1: ["oiintSize1", 0.957, 0.499],
+  // oval to overlay the integrand
+  oiintSize2: ["oiintSize2", 1.472, 0.659],
+  oiiintSize1: ["oiiintSize1", 1.304, 0.499],
+  oiiintSize2: ["oiiintSize2", 1.98, 0.659],
+  leftParenInner: ["leftParenInner", 0.875, 0.3],
+  rightParenInner: ["rightParenInner", 0.875, 0.3]
+};
+
+var buildCommon_staticSvg = function staticSvg(value, options) {
+  // Create a span with inline SVG for the element.
+  var _svgData$value = svgData[value],
+      pathName = _svgData$value[0],
+      width = _svgData$value[1],
+      height = _svgData$value[2];
+  var path = new domTree_PathNode(pathName);
+  var svgNode = new SvgNode([path], {
+    "width": width + "em",
+    "height": height + "em",
+    // Override CSS rule `.katex svg { width: 100% }`
+    "style": "width:" + width + "em",
+    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
+    "preserveAspectRatio": "xMinYMin"
+  });
+  var span = buildCommon_makeSvgSpan(["overlay"], [svgNode], options);
+  span.height = height;
+  span.style.height = height + "em";
+  span.style.width = width + "em";
+  return span;
+};
+
+/* harmony default export */ var buildCommon = ({
+  fontMap: fontMap,
+  makeSymbol: buildCommon_makeSymbol,
+  mathsym: buildCommon_mathsym,
+  makeSpan: buildCommon_makeSpan,
+  makeSvgSpan: buildCommon_makeSvgSpan,
+  makeLineSpan: makeLineSpan,
+  makeAnchor: buildCommon_makeAnchor,
+  makeFragment: buildCommon_makeFragment,
+  wrapFragment: buildCommon_wrapFragment,
+  makeVList: buildCommon_makeVList,
+  makeOrd: buildCommon_makeOrd,
+  makeGlue: buildCommon_makeGlue,
+  staticSvg: buildCommon_staticSvg,
+  svgData: svgData,
+  tryCombineChars: buildCommon_tryCombineChars
+});
+// CONCATENATED MODULE: ./src/spacingData.js
+/**
+ * Describes spaces between different classes of atoms.
+ */
+var thinspace = {
+  number: 3,
+  unit: "mu"
+};
+var mediumspace = {
+  number: 4,
+  unit: "mu"
+};
+var thickspace = {
+  number: 5,
+  unit: "mu"
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+
+// Spacing relationships for display and text styles
+var spacings = {
+  mord: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mbin: {
+    mord: mediumspace,
+    mop: mediumspace,
+    mopen: mediumspace,
+    minner: mediumspace
+  },
+  mrel: {
+    mord: thickspace,
+    mop: thickspace,
+    mopen: thickspace,
+    minner: thickspace
+  },
+  mopen: {},
+  mclose: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mpunct: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mclose: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  },
+  minner: {
+    mord: thinspace,
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  }
+}; // Spacing relationships for script and scriptscript styles
+
+var tightSpacings = {
+  mord: {
+    mop: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace
+  },
+  mbin: {},
+  mrel: {},
+  mopen: {},
+  mclose: {
+    mop: thinspace
+  },
+  mpunct: {},
+  minner: {
+    mop: thinspace
+  }
+};
+// CONCATENATED MODULE: ./src/defineFunction.js
+/** Context provided to function handlers for error messages. */
+// Note: reverse the order of the return type union will cause a flow error.
+// See https://github.com/facebook/flow/issues/3663.
+// More general version of `HtmlBuilder` for nodes (e.g. \sum, accent types)
+// whose presence impacts super/subscripting. In this case, ParseNode<"supsub">
+// delegates its HTML building to the HtmlBuilder corresponding to these nodes.
+
+/**
+ * Final function spec for use at parse time.
+ * This is almost identical to `FunctionPropSpec`, except it
+ * 1. includes the function handler, and
+ * 2. requires all arguments except argTypes.
+ * It is generated by `defineFunction()` below.
+ */
+
+/**
+ * All registered functions.
+ * `functions.js` just exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary.
+ */
+var _functions = {};
+/**
+ * All HTML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+var _htmlGroupBuilders = {};
+/**
+ * All MathML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+var _mathmlGroupBuilders = {};
+function defineFunction(_ref) {
+  var type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of functions
+  var data = {
+    type: type,
+    numArgs: props.numArgs,
+    argTypes: props.argTypes,
+    greediness: props.greediness === undefined ? 1 : props.greediness,
+    allowedInText: !!props.allowedInText,
+    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
+    numOptionalArgs: props.numOptionalArgs || 0,
+    infix: !!props.infix,
+    handler: handler
+  };
+
+  for (var i = 0; i < names.length; ++i) {
+    _functions[names[i]] = data;
+  }
+
+  if (type) {
+    if (htmlBuilder) {
+      _htmlGroupBuilders[type] = htmlBuilder;
+    }
+
+    if (mathmlBuilder) {
+      _mathmlGroupBuilders[type] = mathmlBuilder;
+    }
+  }
+}
+/**
+ * Use this to register only the HTML and MathML builders for a function (e.g.
+ * if the function's ParseNode is generated in Parser.js rather than via a
+ * stand-alone handler provided to `defineFunction`).
+ */
+
+function defineFunctionBuilders(_ref2) {
+  var type = _ref2.type,
+      htmlBuilder = _ref2.htmlBuilder,
+      mathmlBuilder = _ref2.mathmlBuilder;
+  defineFunction({
+    type: type,
+    names: [],
+    props: {
+      numArgs: 0
+    },
+    handler: function handler() {
+      throw new Error('Should never be called.');
+    },
+    htmlBuilder: htmlBuilder,
+    mathmlBuilder: mathmlBuilder
+  });
+} // Since the corresponding buildHTML/buildMathML function expects a
+// list of elements, we normalize for different kinds of arguments
+
+var ordargument = function ordargument(arg) {
+  return arg.type === "ordgroup" ? arg.body : [arg];
+};
+// CONCATENATED MODULE: ./src/buildHTML.js
+/**
+ * This file does the main work of building a domTree structure from a parse
+ * tree. The entry point is the `buildHTML` function, which takes a parse tree.
+ * Then, the buildExpression, buildGroup, and various groupBuilders functions
+ * are called, to produce a final HTML tree.
+ */
+
+
+
+
+
+
+
+
+var buildHTML_makeSpan = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`)
+// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6,
+// and the text before Rule 19.
+
+var binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
+var binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
+var styleMap = {
+  "display": src_Style.DISPLAY,
+  "text": src_Style.TEXT,
+  "script": src_Style.SCRIPT,
+  "scriptscript": src_Style.SCRIPTSCRIPT
+};
+var DomEnum = {
+  mord: "mord",
+  mop: "mop",
+  mbin: "mbin",
+  mrel: "mrel",
+  mopen: "mopen",
+  mclose: "mclose",
+  mpunct: "mpunct",
+  minner: "minner"
+};
+
+/**
+ * Take a list of nodes, build them in order, and return a list of the built
+ * nodes. documentFragments are flattened into their contents, so the
+ * returned list contains no fragments. `isRealGroup` is true if `expression`
+ * is a real group (no atoms will be added on either side), as opposed to
+ * a partial group (e.g. one created by \color). `surrounding` is an array
+ * consisting type of nodes that will be added to the left and right.
+ */
+var buildHTML_buildExpression = function buildExpression(expression, options, isRealGroup, surrounding) {
+  if (surrounding === void 0) {
+    surrounding = [null, null];
+  }
+
+  // Parse expressions into `groups`.
+  var groups = [];
+
+  for (var i = 0; i < expression.length; i++) {
+    var output = buildHTML_buildGroup(expression[i], options);
+
+    if (output instanceof tree_DocumentFragment) {
+      var children = output.children;
+      groups.push.apply(groups, children);
+    } else {
+      groups.push(output);
+    }
+  } // If `expression` is a partial group, let the parent handle spacings
+  // to avoid processing groups multiple times.
+
+
+  if (!isRealGroup) {
+    return groups;
+  }
+
+  var glueOptions = options;
+
+  if (expression.length === 1) {
+    var node = expression[0];
+
+    if (node.type === "sizing") {
+      glueOptions = options.havingSize(node.size);
+    } else if (node.type === "styling") {
+      glueOptions = options.havingStyle(styleMap[node.style]);
+    }
+  } // Dummy spans for determining spacings between surrounding atoms.
+  // If `expression` has no atoms on the left or right, class "leftmost"
+  // or "rightmost", respectively, is used to indicate it.
+
+
+  var dummyPrev = buildHTML_makeSpan([surrounding[0] || "leftmost"], [], options);
+  var dummyNext = buildHTML_makeSpan([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element
+  // of its `classes` array. A later cleanup should ensure this, for
+  // instance by changing the signature of `makeSpan`.
+  // Before determining what spaces to insert, perform bin cancellation.
+  // Binary operators change to ordinary symbols in some contexts.
+
+  var isRoot = isRealGroup === "root";
+  traverseNonSpaceNodes(groups, function (node, prev) {
+    var prevType = prev.classes[0];
+    var type = node.classes[0];
+
+    if (prevType === "mbin" && utils.contains(binRightCanceller, type)) {
+      prev.classes[0] = "mord";
+    } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) {
+      node.classes[0] = "mord";
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext, isRoot);
+  traverseNonSpaceNodes(groups, function (node, prev) {
+    var prevType = getTypeOfDomTree(prev);
+    var type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style.
+
+    var space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null;
+
+    if (space) {
+      // Insert glue (spacing) after the `prev`.
+      return buildCommon.makeGlue(space, glueOptions);
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext, isRoot);
+  return groups;
+}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and
+// previous node as arguments, optionally returning a node to insert after the
+// previous node. `prev` is an object with the previous node and `insertAfter`
+// function to insert after it. `next` is a node that will be added to the right.
+// Used for bin cancellation and inserting spacings.
+
+var traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next, isRoot) {
+  if (next) {
+    // temporarily append the right node, if exists
+    nodes.push(next);
+  }
+
+  var i = 0;
+
+  for (; i < nodes.length; i++) {
+    var node = nodes[i];
+    var partialGroup = buildHTML_checkPartialGroup(node);
+
+    if (partialGroup) {
+      // Recursive DFS
+      // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array
+      traverseNonSpaceNodes(partialGroup.children, callback, prev, null, isRoot);
+      continue;
+    } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit
+    // spacing should go between atoms of different classes
+
+
+    var nonspace = !node.hasClass("mspace");
+
+    if (nonspace) {
+      var result = callback(node, prev.node);
+
+      if (result) {
+        if (prev.insertAfter) {
+          prev.insertAfter(result);
+        } else {
+          // insert at front
+          nodes.unshift(result);
+          i++;
+        }
+      }
+    }
+
+    if (nonspace) {
+      prev.node = node;
+    } else if (isRoot && node.hasClass("newline")) {
+      prev.node = buildHTML_makeSpan(["leftmost"]); // treat like beginning of line
+    }
+
+    prev.insertAfter = function (index) {
+      return function (n) {
+        nodes.splice(index + 1, 0, n);
+        i++;
+      };
+    }(i);
+  }
+
+  if (next) {
+    nodes.pop();
+  }
+}; // Check if given node is a partial group, i.e., does not affect spacing around.
+
+
+var buildHTML_checkPartialGroup = function checkPartialGroup(node) {
+  if (node instanceof tree_DocumentFragment || node instanceof domTree_Anchor || node instanceof domTree_Span && node.hasClass("enclosing")) {
+    return node;
+  }
+
+  return null;
+}; // Return the outermost node of a domTree.
+
+
+var getOutermostNode = function getOutermostNode(node, side) {
+  var partialGroup = buildHTML_checkPartialGroup(node);
+
+  if (partialGroup) {
+    var children = partialGroup.children;
+
+    if (children.length) {
+      if (side === "right") {
+        return getOutermostNode(children[children.length - 1], "right");
+      } else if (side === "left") {
+        return getOutermostNode(children[0], "left");
+      }
+    }
+  }
+
+  return node;
+}; // Return math atom class (mclass) of a domTree.
+// If `side` is given, it will get the type of the outermost node at given side.
+
+
+var getTypeOfDomTree = function getTypeOfDomTree(node, side) {
+  if (!node) {
+    return null;
+  }
+
+  if (side) {
+    node = getOutermostNode(node, side);
+  } // This makes a lot of assumptions as to where the type of atom
+  // appears.  We should do a better job of enforcing this.
+
+
+  return DomEnum[node.classes[0]] || null;
+};
+var makeNullDelimiter = function makeNullDelimiter(options, classes) {
+  var moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses());
+  return buildHTML_makeSpan(classes.concat(moreClasses));
+};
+/**
+ * buildGroup is the function that takes a group and calls the correct groupType
+ * function for it. It also handles the interaction of size and style changes
+ * between parents and children.
+ */
+
+var buildHTML_buildGroup = function buildGroup(group, options, baseOptions) {
+  if (!group) {
+    return buildHTML_makeSpan();
+  }
+
+  if (_htmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    var groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account
+    // for that size difference.
+
+    if (baseOptions && options.size !== baseOptions.size) {
+      groupNode = buildHTML_makeSpan(options.sizingClasses(baseOptions), [groupNode], options);
+      var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier;
+      groupNode.height *= multiplier;
+      groupNode.depth *= multiplier;
+    }
+
+    return groupNode;
+  } else {
+    throw new src_ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`)
+ * into an unbreakable HTML node of class .base, with proper struts to
+ * guarantee correct vertical extent.  `buildHTML` calls this repeatedly to
+ * make up the entire expression as a sequence of unbreakable units.
+ */
+
+function buildHTMLUnbreakable(children, options) {
+  // Compute height and depth of this chunk.
+  var body = buildHTML_makeSpan(["base"], children, options); // Add strut, which ensures that the top of the HTML element falls at
+  // the height of the expression, and the bottom of the HTML element
+  // falls at the depth of the expression.
+
+  var strut = buildHTML_makeSpan(["strut"]);
+  strut.style.height = body.height + body.depth + "em";
+  strut.style.verticalAlign = -body.depth + "em";
+  body.children.unshift(strut);
+  return body;
+}
+/**
+ * Take an entire parse tree, and build it into an appropriate set of HTML
+ * nodes.
+ */
+
+
+function buildHTML(tree, options) {
+  // Strip off outer tag wrapper for processing below.
+  var tag = null;
+
+  if (tree.length === 1 && tree[0].type === "tag") {
+    tag = tree[0].tag;
+    tree = tree[0].body;
+  } // Build the expression contained in the tree
+
+
+  var expression = buildHTML_buildExpression(tree, options, "root");
+  var children = []; // Create one base node for each chunk between potential line breaks.
+  // The TeXBook [p.173] says "A formula will be broken only after a
+  // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary
+  // operation symbol like $+$ or $-$ or $\times$, where the relation or
+  // binary operation is on the ``outer level'' of the formula (i.e., not
+  // enclosed in {...} and not part of an \over construction)."
+
+  var parts = [];
+
+  for (var i = 0; i < expression.length; i++) {
+    parts.push(expression[i]);
+
+    if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) {
+      // Put any post-operator glue on same line as operator.
+      // Watch for \nobreak along the way, and stop at \newline.
+      var nobreak = false;
+
+      while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) {
+        i++;
+        parts.push(expression[i]);
+
+        if (expression[i].hasClass("nobreak")) {
+          nobreak = true;
+        }
+      } // Don't allow break if \nobreak among the post-operator glue.
+
+
+      if (!nobreak) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      }
+    } else if (expression[i].hasClass("newline")) {
+      // Write the line except the newline
+      parts.pop();
+
+      if (parts.length > 0) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      } // Put the newline at the top level
+
+
+      children.push(expression[i]);
+    }
+  }
+
+  if (parts.length > 0) {
+    children.push(buildHTMLUnbreakable(parts, options));
+  } // Now, if there was a tag, build it too and append it as a final child.
+
+
+  var tagChild;
+
+  if (tag) {
+    tagChild = buildHTMLUnbreakable(buildHTML_buildExpression(tag, options, true));
+    tagChild.classes = ["tag"];
+    children.push(tagChild);
+  }
+
+  var htmlNode = buildHTML_makeSpan(["katex-html"], children);
+  htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children
+  // (the height of the enclosing htmlNode) for proper vertical alignment.
+
+  if (tagChild) {
+    var strut = tagChild.children[0];
+    strut.style.height = htmlNode.height + htmlNode.depth + "em";
+    strut.style.verticalAlign = -htmlNode.depth + "em";
+  }
+
+  return htmlNode;
+}
+// CONCATENATED MODULE: ./src/mathMLTree.js
+/**
+ * These objects store data about MathML nodes. This is the MathML equivalent
+ * of the types in domTree.js. Since MathML handles its own rendering, and
+ * since we're mainly using MathML to improve accessibility, we don't manage
+ * any of the styling state that the plain DOM nodes do.
+ *
+ * The `toNode` and `toMarkup` functions work simlarly to how they do in
+ * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.
+ */
+
+
+function newDocumentFragment(children) {
+  return new tree_DocumentFragment(children);
+}
+/**
+ * This node represents a general purpose MathML node of any type. The
+ * constructor requires the type of node to create (for example, `"mo"` or
+ * `"mspace"`, corresponding to `<mo>` and `<mspace>` tags).
+ */
+
+var mathMLTree_MathNode =
+/*#__PURE__*/
+function () {
+  function MathNode(type, children) {
+    this.type = void 0;
+    this.attributes = void 0;
+    this.children = void 0;
+    this.type = type;
+    this.attributes = {};
+    this.children = children || [];
+  }
+  /**
+   * Sets an attribute on a MathML node. MathML depends on attributes to convey a
+   * semantic content, so this is used heavily.
+   */
+
+
+  var _proto = MathNode.prototype;
+
+  _proto.setAttribute = function setAttribute(name, value) {
+    this.attributes[name] = value;
+  }
+  /**
+   * Gets an attribute on a MathML node.
+   */
+  ;
+
+  _proto.getAttribute = function getAttribute(name) {
+    return this.attributes[name];
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+  ;
+
+  _proto.toNode = function toNode() {
+    var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (var i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+  ;
+
+  _proto.toMarkup = function toMarkup() {
+    var markup = "<" + this.type; // Add the attributes
+
+    for (var attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "=\"";
+        markup += utils.escape(this.attributes[attr]);
+        markup += "\"";
+      }
+    }
+
+    markup += ">";
+
+    for (var i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</" + this.type + ">";
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText, but escaped.
+   */
+  ;
+
+  _proto.toText = function toText() {
+    return this.children.map(function (child) {
+      return child.toText();
+    }).join("");
+  };
+
+  return MathNode;
+}();
+/**
+ * This node represents a piece of text.
+ */
+
+var mathMLTree_TextNode =
+/*#__PURE__*/
+function () {
+  function TextNode(text) {
+    this.text = void 0;
+    this.text = text;
+  }
+  /**
+   * Converts the text node into a DOM text node.
+   */
+
+
+  var _proto2 = TextNode.prototype;
+
+  _proto2.toNode = function toNode() {
+    return document.createTextNode(this.text);
+  }
+  /**
+   * Converts the text node into escaped HTML markup
+   * (representing the text itself).
+   */
+  ;
+
+  _proto2.toMarkup = function toMarkup() {
+    return utils.escape(this.toText());
+  }
+  /**
+   * Converts the text node into a string
+   * (representing the text iteself).
+   */
+  ;
+
+  _proto2.toText = function toText() {
+    return this.text;
+  };
+
+  return TextNode;
+}();
+/**
+ * This node represents a space, but may render as <mspace.../> or as text,
+ * depending on the width.
+ */
+
+var SpaceNode =
+/*#__PURE__*/
+function () {
+  /**
+   * Create a Space node with width given in CSS ems.
+   */
+  function SpaceNode(width) {
+    this.width = void 0;
+    this.character = void 0;
+    this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html
+    // for a table of space-like characters.  We use Unicode
+    // representations instead of &LongNames; as it's not clear how to
+    // make the latter via document.createTextNode.
+
+    if (width >= 0.05555 && width <= 0.05556) {
+      this.character = "\u200A"; // &VeryThinSpace;
+    } else if (width >= 0.1666 && width <= 0.1667) {
+      this.character = "\u2009"; // &ThinSpace;
+    } else if (width >= 0.2222 && width <= 0.2223) {
+      this.character = "\u2005"; // &MediumSpace;
+    } else if (width >= 0.2777 && width <= 0.2778) {
+      this.character = "\u2005\u200A"; // &ThickSpace;
+    } else if (width >= -0.05556 && width <= -0.05555) {
+      this.character = "\u200A\u2063"; // &NegativeVeryThinSpace;
+    } else if (width >= -0.1667 && width <= -0.1666) {
+      this.character = "\u2009\u2063"; // &NegativeThinSpace;
+    } else if (width >= -0.2223 && width <= -0.2222) {
+      this.character = "\u205F\u2063"; // &NegativeMediumSpace;
+    } else if (width >= -0.2778 && width <= -0.2777) {
+      this.character = "\u2005\u2063"; // &NegativeThickSpace;
+    } else {
+      this.character = null;
+    }
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+
+
+  var _proto3 = SpaceNode.prototype;
+
+  _proto3.toNode = function toNode() {
+    if (this.character) {
+      return document.createTextNode(this.character);
+    } else {
+      var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
+      node.setAttribute("width", this.width + "em");
+      return node;
+    }
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+  ;
+
+  _proto3.toMarkup = function toMarkup() {
+    if (this.character) {
+      return "<mtext>" + this.character + "</mtext>";
+    } else {
+      return "<mspace width=\"" + this.width + "em\"/>";
+    }
+  }
+  /**
+   * Converts the math node into a string, similar to innerText.
+   */
+  ;
+
+  _proto3.toText = function toText() {
+    if (this.character) {
+      return this.character;
+    } else {
+      return " ";
+    }
+  };
+
+  return SpaceNode;
+}();
+
+/* harmony default export */ var mathMLTree = ({
+  MathNode: mathMLTree_MathNode,
+  TextNode: mathMLTree_TextNode,
+  SpaceNode: SpaceNode,
+  newDocumentFragment: newDocumentFragment
+});
+// CONCATENATED MODULE: ./src/buildMathML.js
+/**
+ * This file converts a parse tree into a cooresponding MathML tree. The main
+ * entry point is the `buildMathML` function, which takes a parse tree from the
+ * parser.
+ */
+
+
+
+
+
+
+
+
+
+/**
+ * Takes a symbol and converts it into a MathML text node after performing
+ * optional replacement from symbols.js.
+ */
+var buildMathML_makeText = function makeText(text, mode, options) {
+  if (src_symbols[mode][text] && src_symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.substr(4, 2) === "tt" || options.font && options.font.substr(4, 2) === "tt"))) {
+    text = src_symbols[mode][text].replace;
+  }
+
+  return new mathMLTree.TextNode(text);
+};
+/**
+ * Wrap the given array of nodes in an <mrow> node if needed, i.e.,
+ * unless the array has length 1.  Always returns a single node.
+ */
+
+var buildMathML_makeRow = function makeRow(body) {
+  if (body.length === 1) {
+    return body[0];
+  } else {
+    return new mathMLTree.MathNode("mrow", body);
+  }
+};
+/**
+ * Returns the math variant as a string or null if none is required.
+ */
+
+var buildMathML_getVariant = function getVariant(group, options) {
+  // Handle \text... font specifiers as best we can.
+  // MathML has a limited list of allowable mathvariant specifiers; see
+  // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt
+  if (options.fontFamily === "texttt") {
+    return "monospace";
+  } else if (options.fontFamily === "textsf") {
+    if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+      return "sans-serif-bold-italic";
+    } else if (options.fontShape === "textit") {
+      return "sans-serif-italic";
+    } else if (options.fontWeight === "textbf") {
+      return "bold-sans-serif";
+    } else {
+      return "sans-serif";
+    }
+  } else if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+    return "bold-italic";
+  } else if (options.fontShape === "textit") {
+    return "italic";
+  } else if (options.fontWeight === "textbf") {
+    return "bold";
+  }
+
+  var font = options.font;
+
+  if (!font || font === "mathnormal") {
+    return null;
+  }
+
+  var mode = group.mode;
+
+  if (font === "mathit") {
+    return "italic";
+  } else if (font === "boldsymbol") {
+    return group.type === "textord" ? "bold" : "bold-italic";
+  } else if (font === "mathbf") {
+    return "bold";
+  } else if (font === "mathbb") {
+    return "double-struck";
+  } else if (font === "mathfrak") {
+    return "fraktur";
+  } else if (font === "mathscr" || font === "mathcal") {
+    // MathML makes no distinction between script and caligrahpic
+    return "script";
+  } else if (font === "mathsf") {
+    return "sans-serif";
+  } else if (font === "mathtt") {
+    return "monospace";
+  }
+
+  var text = group.text;
+
+  if (utils.contains(["\\imath", "\\jmath"], text)) {
+    return null;
+  }
+
+  if (src_symbols[mode][text] && src_symbols[mode][text].replace) {
+    text = src_symbols[mode][text].replace;
+  }
+
+  var fontName = buildCommon.fontMap[font].fontName;
+
+  if (getCharacterMetrics(text, fontName, mode)) {
+    return buildCommon.fontMap[font].variant;
+  }
+
+  return null;
+};
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes.  Also combine consecutive <mtext> outputs into a single
+ * <mtext> tag.
+ */
+
+var buildMathML_buildExpression = function buildExpression(expression, options, isOrdgroup) {
+  if (expression.length === 1) {
+    var group = buildMathML_buildGroup(expression[0], options);
+
+    if (isOrdgroup && group instanceof mathMLTree_MathNode && group.type === "mo") {
+      // When TeX writers want to suppress spacing on an operator,
+      // they often put the operator by itself inside braces.
+      group.setAttribute("lspace", "0em");
+      group.setAttribute("rspace", "0em");
+    }
+
+    return [group];
+  }
+
+  var groups = [];
+  var lastGroup;
+
+  for (var i = 0; i < expression.length; i++) {
+    var _group = buildMathML_buildGroup(expression[i], options);
+
+    if (_group instanceof mathMLTree_MathNode && lastGroup instanceof mathMLTree_MathNode) {
+      // Concatenate adjacent <mtext>s
+      if (_group.type === 'mtext' && lastGroup.type === 'mtext' && _group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) {
+        var _lastGroup$children;
+
+        (_lastGroup$children = lastGroup.children).push.apply(_lastGroup$children, _group.children);
+
+        continue; // Concatenate adjacent <mn>s
+      } else if (_group.type === 'mn' && lastGroup.type === 'mn') {
+        var _lastGroup$children2;
+
+        (_lastGroup$children2 = lastGroup.children).push.apply(_lastGroup$children2, _group.children);
+
+        continue; // Concatenate <mn>...</mn> followed by <mi>.</mi>
+      } else if (_group.type === 'mi' && _group.children.length === 1 && lastGroup.type === 'mn') {
+        var child = _group.children[0];
+
+        if (child instanceof mathMLTree_TextNode && child.text === '.') {
+          var _lastGroup$children3;
+
+          (_lastGroup$children3 = lastGroup.children).push.apply(_lastGroup$children3, _group.children);
+
+          continue;
+        }
+      } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) {
+        var lastChild = lastGroup.children[0];
+
+        if (lastChild instanceof mathMLTree_TextNode && lastChild.text === "\u0338" && (_group.type === 'mo' || _group.type === 'mi' || _group.type === 'mn')) {
+          var _child = _group.children[0];
+
+          if (_child instanceof mathMLTree_TextNode && _child.text.length > 0) {
+            // Overlay with combining character long solidus
+            _child.text = _child.text.slice(0, 1) + "\u0338" + _child.text.slice(1);
+            groups.pop();
+          }
+        }
+      }
+    }
+
+    groups.push(_group);
+    lastGroup = _group;
+  }
+
+  return groups;
+};
+/**
+ * Equivalent to buildExpression, but wraps the elements in an <mrow>
+ * if there's more than one.  Returns a single node instead of an array.
+ */
+
+var buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
+  return buildMathML_makeRow(buildMathML_buildExpression(expression, options, isOrdgroup));
+};
+/**
+ * Takes a group from the parser and calls the appropriate groupBuilders function
+ * on it to produce a MathML node.
+ */
+
+var buildMathML_buildGroup = function buildGroup(group, options) {
+  if (!group) {
+    return new mathMLTree.MathNode("mrow");
+  }
+
+  if (_mathmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    var result = _mathmlGroupBuilders[group.type](group, options);
+    return result;
+  } else {
+    throw new src_ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Takes a full parse tree and settings and builds a MathML representation of
+ * it. In particular, we put the elements from building the parse tree into a
+ * <semantics> tag so we can also include that TeX source as an annotation.
+ *
+ * Note that we actually return a domTree element with a `<math>` inside it so
+ * we can do appropriate styling.
+ */
+
+function buildMathML(tree, texExpression, options, isDisplayMode, forMathmlOnly) {
+  var expression = buildMathML_buildExpression(tree, options); // Wrap up the expression in an mrow so it is presented in the semantics
+  // tag correctly, unless it's a single <mrow> or <mtable>.
+
+  var wrapper;
+
+  if (expression.length === 1 && expression[0] instanceof mathMLTree_MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) {
+    wrapper = expression[0];
+  } else {
+    wrapper = new mathMLTree.MathNode("mrow", expression);
+  } // Build a TeX annotation of the source
+
+
+  var annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]);
+  annotation.setAttribute("encoding", "application/x-tex");
+  var semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]);
+  var math = new mathMLTree.MathNode("math", [semantics]);
+  math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML");
+
+  if (isDisplayMode) {
+    math.setAttribute("display", "block");
+  } // You can't style <math> nodes, so we wrap the node in a span.
+  // NOTE: The span class is not typed to have <math> nodes as children, and
+  // we don't want to make the children type more generic since the children
+  // of span are expected to have more fields in `buildHtml` contexts.
+
+
+  var wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe
+
+  return buildCommon.makeSpan([wrapperClass], [math]);
+}
+// CONCATENATED MODULE: ./src/buildTree.js
+
+
+
+
+
+
+
+var buildTree_optionsFromSettings = function optionsFromSettings(settings) {
+  return new src_Options({
+    style: settings.displayMode ? src_Style.DISPLAY : src_Style.TEXT,
+    maxSize: settings.maxSize,
+    minRuleThickness: settings.minRuleThickness
+  });
+};
+
+var buildTree_displayWrap = function displayWrap(node, settings) {
+  if (settings.displayMode) {
+    var classes = ["katex-display"];
+
+    if (settings.leqno) {
+      classes.push("leqno");
+    }
+
+    if (settings.fleqn) {
+      classes.push("fleqn");
+    }
+
+    node = buildCommon.makeSpan(classes, [node]);
+  }
+
+  return node;
+};
+
+var buildTree_buildTree = function buildTree(tree, expression, settings) {
+  var options = buildTree_optionsFromSettings(settings);
+  var katexNode;
+
+  if (settings.output === "mathml") {
+    return buildMathML(tree, expression, options, settings.displayMode, true);
+  } else if (settings.output === "html") {
+    var htmlNode = buildHTML(tree, options);
+    katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  } else {
+    var mathMLNode = buildMathML(tree, expression, options, settings.displayMode, false);
+
+    var _htmlNode = buildHTML(tree, options);
+
+    katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, _htmlNode]);
+  }
+
+  return buildTree_displayWrap(katexNode, settings);
+};
+var buildTree_buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
+  var options = buildTree_optionsFromSettings(settings);
+  var htmlNode = buildHTML(tree, options);
+  var katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  return buildTree_displayWrap(katexNode, settings);
+};
+/* harmony default export */ var src_buildTree = (buildTree_buildTree);
+// CONCATENATED MODULE: ./src/stretchy.js
+/**
+ * This file provides support to buildMathML.js and buildHTML.js
+ * for stretchy wide elements rendered from SVG files
+ * and other CSS trickery.
+ */
+
+
+
+
+var stretchyCodePoint = {
+  widehat: "^",
+  widecheck: "ˇ",
+  widetilde: "~",
+  utilde: "~",
+  overleftarrow: "\u2190",
+  underleftarrow: "\u2190",
+  xleftarrow: "\u2190",
+  overrightarrow: "\u2192",
+  underrightarrow: "\u2192",
+  xrightarrow: "\u2192",
+  underbrace: "\u23DF",
+  overbrace: "\u23DE",
+  overgroup: "\u23E0",
+  undergroup: "\u23E1",
+  overleftrightarrow: "\u2194",
+  underleftrightarrow: "\u2194",
+  xleftrightarrow: "\u2194",
+  Overrightarrow: "\u21D2",
+  xRightarrow: "\u21D2",
+  overleftharpoon: "\u21BC",
+  xleftharpoonup: "\u21BC",
+  overrightharpoon: "\u21C0",
+  xrightharpoonup: "\u21C0",
+  xLeftarrow: "\u21D0",
+  xLeftrightarrow: "\u21D4",
+  xhookleftarrow: "\u21A9",
+  xhookrightarrow: "\u21AA",
+  xmapsto: "\u21A6",
+  xrightharpoondown: "\u21C1",
+  xleftharpoondown: "\u21BD",
+  xrightleftharpoons: "\u21CC",
+  xleftrightharpoons: "\u21CB",
+  xtwoheadleftarrow: "\u219E",
+  xtwoheadrightarrow: "\u21A0",
+  xlongequal: "=",
+  xtofrom: "\u21C4",
+  xrightleftarrows: "\u21C4",
+  xrightequilibrium: "\u21CC",
+  // Not a perfect match.
+  xleftequilibrium: "\u21CB" // None better available.
+
+};
+
+var stretchy_mathMLnode = function mathMLnode(label) {
+  var node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.substr(1)])]);
+  node.setAttribute("stretchy", "true");
+  return node;
+}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts.
+// Copyright (c) 2009-2010, Design Science, Inc. (<www.mathjax.org>)
+// Copyright (c) 2014-2017 Khan Academy (<www.khanacademy.org>)
+// Licensed under the SIL Open Font License, Version 1.1.
+// See \nhttp://scripts.sil.org/OFL
+// Very Long SVGs
+//    Many of the KaTeX stretchy wide elements use a long SVG image and an
+//    overflow: hidden tactic to achieve a stretchy image while avoiding
+//    distortion of arrowheads or brace corners.
+//    The SVG typically contains a very long (400 em) arrow.
+//    The SVG is in a container span that has overflow: hidden, so the span
+//    acts like a window that exposes only part of the  SVG.
+//    The SVG always has a longer, thinner aspect ratio than the container span.
+//    After the SVG fills 100% of the height of the container span,
+//    there is a long arrow shaft left over. That left-over shaft is not shown.
+//    Instead, it is sliced off because the span's CSS has overflow: hidden.
+//    Thus, the reader sees an arrow that matches the subject matter width
+//    without distortion.
+//    Some functions, such as \cancel, need to vary their aspect ratio. These
+//    functions do not get the overflow SVG treatment.
+// Second Brush Stroke
+//    Low resolution monitors struggle to display images in fine detail.
+//    So browsers apply anti-aliasing. A long straight arrow shaft therefore
+//    will sometimes appear as if it has a blurred edge.
+//    To mitigate this, these SVG files contain a second "brush-stroke" on the
+//    arrow shafts. That is, a second long thin rectangular SVG path has been
+//    written directly on top of each arrow shaft. This reinforcement causes
+//    some of the screen pixels to display as black instead of the anti-aliased
+//    gray pixel that a  single path would generate. So we get arrow shafts
+//    whose edges appear to be sharper.
+// In the katexImagesData object just below, the dimensions all
+// correspond to path geometry inside the relevant SVG.
+// For example, \overrightarrow uses the same arrowhead as glyph U+2192
+// from the KaTeX Main font. The scaling factor is 1000.
+// That is, inside the font, that arrowhead is 522 units tall, which
+// corresponds to 0.522 em inside the document.
+
+
+var katexImagesData = {
+  //   path(s), minWidth, height, align
+  overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"],
+  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
+  Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"],
+  xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"],
+  xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"],
+  overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"],
+  overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"],
+  xlongequal: [["longequal"], 0.888, 334, "xMinYMin"],
+  xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"],
+  xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"],
+  overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548],
+  underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548],
+  underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522],
+  xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560],
+  xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716],
+  xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716],
+  xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522],
+  xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522],
+  overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  overgroup: [["leftgroup", "rightgroup"], 0.888, 342],
+  undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342],
+  xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522],
+  xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528],
+  // The next three arrows are from the mhchem package.
+  // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the
+  // document as \xrightarrow or \xrightleftharpoons. Those have
+  // min-length = 1.75em, so we set min-length on these next three to match.
+  xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
+  xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
+  xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716]
+};
+
+var groupLength = function groupLength(arg) {
+  if (arg.type === "ordgroup") {
+    return arg.body.length;
+  } else {
+    return 1;
+  }
+};
+
+var stretchy_svgSpan = function svgSpan(group, options) {
+  // Create a span with inline SVG for the element.
+  function buildSvgSpan_() {
+    var viewBoxWidth = 400000; // default
+
+    var label = group.label.substr(1);
+
+    if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) {
+      // Each type in the `if` statement corresponds to one of the ParseNode
+      // types below. This narrowing is required to access `grp.base`.
+      var grp = group; // There are four SVG images available for each function.
+      // Choose a taller image when there are more characters.
+
+      var numChars = groupLength(grp.base);
+      var viewBoxHeight;
+      var pathName;
+
+      var _height;
+
+      if (numChars > 5) {
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxHeight = 420;
+          viewBoxWidth = 2364;
+          _height = 0.42;
+          pathName = label + "4";
+        } else {
+          viewBoxHeight = 312;
+          viewBoxWidth = 2340;
+          _height = 0.34;
+          pathName = "tilde4";
+        }
+      } else {
+        var imgIndex = [1, 1, 2, 2, 3, 3][numChars];
+
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex];
+          viewBoxHeight = [0, 239, 300, 360, 420][imgIndex];
+          _height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex];
+          pathName = label + imgIndex;
+        } else {
+          viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex];
+          viewBoxHeight = [0, 260, 286, 306, 312][imgIndex];
+          _height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex];
+          pathName = "tilde" + imgIndex;
+        }
+      }
+
+      var path = new domTree_PathNode(pathName);
+      var svgNode = new SvgNode([path], {
+        "width": "100%",
+        "height": _height + "em",
+        "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight,
+        "preserveAspectRatio": "none"
+      });
+      return {
+        span: buildCommon.makeSvgSpan([], [svgNode], options),
+        minWidth: 0,
+        height: _height
+      };
+    } else {
+      var spans = [];
+      var data = katexImagesData[label];
+      var paths = data[0],
+          _minWidth = data[1],
+          _viewBoxHeight = data[2];
+
+      var _height2 = _viewBoxHeight / 1000;
+
+      var numSvgChildren = paths.length;
+      var widthClasses;
+      var aligns;
+
+      if (numSvgChildren === 1) {
+        // $FlowFixMe: All these cases must be of the 4-tuple type.
+        var align1 = data[3];
+        widthClasses = ["hide-tail"];
+        aligns = [align1];
+      } else if (numSvgChildren === 2) {
+        widthClasses = ["halfarrow-left", "halfarrow-right"];
+        aligns = ["xMinYMin", "xMaxYMin"];
+      } else if (numSvgChildren === 3) {
+        widthClasses = ["brace-left", "brace-center", "brace-right"];
+        aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"];
+      } else {
+        throw new Error("Correct katexImagesData or update code here to support\n                    " + numSvgChildren + " children.");
+      }
+
+      for (var i = 0; i < numSvgChildren; i++) {
+        var _path = new domTree_PathNode(paths[i]);
+
+        var _svgNode = new SvgNode([_path], {
+          "width": "400em",
+          "height": _height2 + "em",
+          "viewBox": "0 0 " + viewBoxWidth + " " + _viewBoxHeight,
+          "preserveAspectRatio": aligns[i] + " slice"
+        });
+
+        var _span = buildCommon.makeSvgSpan([widthClasses[i]], [_svgNode], options);
+
+        if (numSvgChildren === 1) {
+          return {
+            span: _span,
+            minWidth: _minWidth,
+            height: _height2
+          };
+        } else {
+          _span.style.height = _height2 + "em";
+          spans.push(_span);
+        }
+      }
+
+      return {
+        span: buildCommon.makeSpan(["stretchy"], spans, options),
+        minWidth: _minWidth,
+        height: _height2
+      };
+    }
+  } // buildSvgSpan_()
+
+
+  var _buildSvgSpan_ = buildSvgSpan_(),
+      span = _buildSvgSpan_.span,
+      minWidth = _buildSvgSpan_.minWidth,
+      height = _buildSvgSpan_.height; // Note that we are returning span.depth = 0.
+  // Any adjustments relative to the baseline must be done in buildHTML.
+
+
+  span.height = height;
+  span.style.height = height + "em";
+
+  if (minWidth > 0) {
+    span.style.minWidth = minWidth + "em";
+  }
+
+  return span;
+};
+
+var stretchy_encloseSpan = function encloseSpan(inner, label, pad, options) {
+  // Return an image span for \cancel, \bcancel, \xcancel, or \fbox
+  var img;
+  var totalHeight = inner.height + inner.depth + 2 * pad;
+
+  if (/fbox|color/.test(label)) {
+    img = buildCommon.makeSpan(["stretchy", label], [], options);
+
+    if (label === "fbox") {
+      var color = options.color && options.getColor();
+
+      if (color) {
+        img.style.borderColor = color;
+      }
+    }
+  } else {
+    // \cancel, \bcancel, or \xcancel
+    // Since \cancel's SVG is inline and it omits the viewBox attribute,
+    // its stroke-width will not vary with span area.
+    var lines = [];
+
+    if (/^[bx]cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "0",
+        "x2": "100%",
+        "y2": "100%",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    if (/^x?cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "100%",
+        "x2": "100%",
+        "y2": "0",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    var svgNode = new SvgNode(lines, {
+      "width": "100%",
+      "height": totalHeight + "em"
+    });
+    img = buildCommon.makeSvgSpan([], [svgNode], options);
+  }
+
+  img.height = totalHeight;
+  img.style.height = totalHeight + "em";
+  return img;
+};
+
+/* harmony default export */ var stretchy = ({
+  encloseSpan: stretchy_encloseSpan,
+  mathMLnode: stretchy_mathMLnode,
+  svgSpan: stretchy_svgSpan
+});
+// CONCATENATED MODULE: ./src/parseNode.js
+
+
+/**
+ * Asserts that the node is of the given type and returns it with stricter
+ * typing. Throws if the node's type does not match.
+ */
+function assertNodeType(node, type) {
+  if (!node || node.type !== type) {
+    throw new Error("Expected node of type " + type + ", but got " + (node ? "node of type " + node.type : String(node)));
+  }
+
+  return node;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function assertSymbolNodeType(node) {
+  var typedNode = checkSymbolNodeType(node);
+
+  if (!typedNode) {
+    throw new Error("Expected node of symbol group type, but got " + (node ? "node of type " + node.type : String(node)));
+  }
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkSymbolNodeType(node) {
+  if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) {
+    // $FlowFixMe
+    return node;
+  }
+
+  return null;
+}
+// CONCATENATED MODULE: ./src/functions/accent.js
+
+
+
+
+
+
+
+
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but
+var accent_htmlBuilder = function htmlBuilder(grp, options) {
+  // Accents are handled in the TeXbook pg. 443, rule 12.
+  var base;
+  var group;
+  var supSubGroup;
+
+  if (grp && grp.type === "supsub") {
+    // If our base is a character box, and we have superscripts and
+    // subscripts, the supsub will defer to us. In particular, we want
+    // to attach the superscripts and subscripts to the inner body (so
+    // that the position of the superscripts and subscripts won't be
+    // affected by the height of the accent). We accomplish this by
+    // sticking the base of the accent into the base of the supsub, and
+    // rendering that, while keeping track of where the accent is.
+    // The real accent group is the base of the supsub group
+    group = assertNodeType(grp.base, "accent"); // The character box is the base of the accent group
+
+    base = group.base; // Stick the character box into the base of the supsub group
+
+    grp.base = base; // Rerender the supsub group with its new base, and store that
+    // result.
+
+    supSubGroup = assertSpan(buildHTML_buildGroup(grp, options)); // reset original base
+
+    grp.base = group;
+  } else {
+    group = assertNodeType(grp, "accent");
+    base = group.base;
+  } // Build the base group
+
+
+  var body = buildHTML_buildGroup(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character?
+
+  var mustShift = group.isShifty && utils.isCharacterBox(base); // Calculate the skew of the accent. This is based on the line "If the
+  // nucleus is not a single character, let s = 0; otherwise set s to the
+  // kern amount for the nucleus followed by the \skewchar of its font."
+  // Note that our skew metrics are just the kern between each character
+  // and the skewchar.
+
+  var skew = 0;
+
+  if (mustShift) {
+    // If the base is a character box, then we want the skew of the
+    // innermost character. To do that, we find the innermost character:
+    var baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it
+
+    var baseGroup = buildHTML_buildGroup(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol.
+
+    skew = assertSymbolDomNode(baseGroup).skew; // Note that we now throw away baseGroup, because the layers we
+    // removed with getBaseElem might contain things like \color which
+    // we can't get rid of.
+    // TODO(emily): Find a better way to get the skew
+  } // calculate the amount of space between the body and the accent
+
+
+  var clearance = Math.min(body.height, options.fontMetrics().xHeight); // Build the accent
+
+  var accentBody;
+
+  if (!group.isStretchy) {
+    var accent;
+    var width;
+
+    if (group.label === "\\vec") {
+      // Before version 0.9, \vec used the combining font glyph U+20D7.
+      // But browsers, especially Safari, are not consistent in how they
+      // render combining characters when not preceded by a character.
+      // So now we use an SVG.
+      // If Safari reforms, we should consider reverting to the glyph.
+      accent = buildCommon.staticSvg("vec", options);
+      width = buildCommon.svgData.vec[1];
+    } else {
+      accent = buildCommon.makeOrd({
+        mode: group.mode,
+        text: group.label
+      }, options, "textord");
+      accent = assertSymbolDomNode(accent); // Remove the italic correction of the accent, because it only serves to
+      // shift the accent over to a place we don't want.
+
+      accent.italic = 0;
+      width = accent.width;
+    }
+
+    accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be
+    // at least the width of the accent, and overlap directly onto the
+    // character without any vertical offset.
+
+    var accentFull = group.label === "\\textcircled";
+
+    if (accentFull) {
+      accentBody.classes.push('accent-full');
+      clearance = body.height;
+    } // Shift the accent over by the skew.
+
+
+    var left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }`
+    // so that the accent doesn't contribute to the bounding box.
+    // We need to shift the character by its width (effectively half
+    // its width) to compensate.
+
+    if (!accentFull) {
+      left -= width / 2;
+    }
+
+    accentBody.style.left = left + "em"; // \textcircled uses the \bigcirc glyph, so it needs some
+    // vertical adjustment to match LaTeX.
+
+    if (group.label === "\\textcircled") {
+      accentBody.style.top = ".2em";
+    }
+
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: -clearance
+      }, {
+        type: "elem",
+        elem: accentBody
+      }]
+    }, options);
+  } else {
+    accentBody = stretchy.svgSpan(group, options);
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"],
+        wrapperStyle: skew > 0 ? {
+          width: "calc(100% - " + 2 * skew + "em)",
+          marginLeft: 2 * skew + "em"
+        } : undefined
+      }]
+    }, options);
+  }
+
+  var accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options);
+
+  if (supSubGroup) {
+    // Here, we replace the "base" child of the supsub with our newly
+    // generated accent.
+    supSubGroup.children[0] = accentWrap; // Since we don't rerun the height calculation after replacing the
+    // accent, we manually recalculate height.
+
+    supSubGroup.height = Math.max(accentWrap.height, supSubGroup.height); // Accents should always be ords, even when their innards are not.
+
+    supSubGroup.classes[0] = "mord";
+    return supSubGroup;
+  } else {
+    return accentWrap;
+  }
+};
+
+var accent_mathmlBuilder = function mathmlBuilder(group, options) {
+  var accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [buildMathML_makeText(group.label, group.mode)]);
+  var node = new mathMLTree.MathNode("mover", [buildMathML_buildGroup(group.base, options), accentNode]);
+  node.setAttribute("accent", "true");
+  return node;
+};
+
+var NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(function (accent) {
+  return "\\" + accent;
+}).join("|")); // Accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var base = args[0];
+    var isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName);
+    var isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck";
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: isStretchy,
+      isShifty: isShifty,
+      base: base
+    };
+  },
+  htmlBuilder: accent_htmlBuilder,
+  mathmlBuilder: accent_mathmlBuilder
+}); // Text-mode accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\r", "\\H", "\\v", "\\textcircled"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: function handler(context, args) {
+    var base = args[0];
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: false,
+      isShifty: true,
+      base: base
+    };
+  },
+  htmlBuilder: accent_htmlBuilder,
+  mathmlBuilder: accent_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/accentunder.js
+// Horizontal overlap functions
+
+
+
+
+
+
+defineFunction({
+  type: "accentUnder",
+  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var base = args[0];
+    return {
+      type: "accentUnder",
+      mode: parser.mode,
+      label: funcName,
+      base: base
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Treat under accents much like underlines.
+    var innerGroup = buildHTML_buildGroup(group.base, options);
+    var accentBody = stretchy.svgSpan(group, options);
+    var kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns
+
+    var vlist = buildCommon.makeVList({
+      positionType: "top",
+      positionData: innerGroup.height,
+      children: [{
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: kern
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var accentNode = stretchy.mathMLnode(group.label);
+    var node = new mathMLTree.MathNode("munder", [buildMathML_buildGroup(group.base, options), accentNode]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/arrow.js
+
+
+
+
+
+
+
+// Helper function
+var arrow_paddedNode = function paddedNode(group) {
+  var node = new mathMLTree.MathNode("mpadded", group ? [group] : []);
+  node.setAttribute("width", "+0.6em");
+  node.setAttribute("lspace", "0.3em");
+  return node;
+}; // Stretchy arrows with an optional argument
+
+
+defineFunction({
+  type: "xArrow",
+  names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension.
+  // Direct use of these functions is discouraged and may break someday.
+  "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "xArrow",
+      mode: parser.mode,
+      label: funcName,
+      body: args[0],
+      below: optArgs[0]
+    };
+  },
+  // Flow is unable to correctly infer the type of `group`, even though it's
+  // unamibiguously determined from the passed-in `type` above.
+  htmlBuilder: function htmlBuilder(group, options) {
+    var style = options.style; // Build the argument groups in the appropriate style.
+    // Ref: amsmath.dtx:   \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}%
+    // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+    var newOptions = options.havingStyle(style.sup());
+    var upperGroup = buildCommon.wrapFragment(buildHTML_buildGroup(group.body, newOptions, options), options);
+    upperGroup.classes.push("x-arrow-pad");
+    var lowerGroup;
+
+    if (group.below) {
+      // Build the lower group
+      newOptions = options.havingStyle(style.sub());
+      lowerGroup = buildCommon.wrapFragment(buildHTML_buildGroup(group.below, newOptions, options), options);
+      lowerGroup.classes.push("x-arrow-pad");
+    }
+
+    var arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0.
+    // The point we want on the math axis is at 0.5 * arrowBody.height.
+
+    var arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi
+
+    var upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu
+
+    if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") {
+      upperShift -= upperGroup.depth; // shift up if depth encroaches
+    } // Generate the vlist
+
+
+    var vlist;
+
+    if (lowerGroup) {
+      var lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111;
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }, {
+          type: "elem",
+          elem: lowerGroup,
+          shift: lowerShift
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }]
+      }, options);
+    } // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+    return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var arrowNode = stretchy.mathMLnode(group.label);
+    var node;
+
+    if (group.body) {
+      var upperNode = arrow_paddedNode(buildMathML_buildGroup(group.body, options));
+
+      if (group.below) {
+        var lowerNode = arrow_paddedNode(buildMathML_buildGroup(group.below, options));
+        node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]);
+      } else {
+        node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]);
+      }
+    } else if (group.below) {
+      var _lowerNode = arrow_paddedNode(buildMathML_buildGroup(group.below, options));
+
+      node = new mathMLTree.MathNode("munder", [arrowNode, _lowerNode]);
+    } else {
+      // This should never happen.
+      // Parser.js throws an error if there is no argument.
+      node = arrow_paddedNode();
+      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/char.js
+
+
+ // \@char is an internal function that takes a grouped decimal argument like
+// {123} and converts into symbol with code 123.  It is used by the *macro*
+// \char defined in macros.js.
+
+defineFunction({
+  type: "textord",
+  names: ["\\@char"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var arg = assertNodeType(args[0], "ordgroup");
+    var group = arg.body;
+    var number = "";
+
+    for (var i = 0; i < group.length; i++) {
+      var node = assertNodeType(group[i], "textord");
+      number += node.text;
+    }
+
+    var code = parseInt(number);
+
+    if (isNaN(code)) {
+      throw new src_ParseError("\\@char has non-numeric argument " + number);
+    }
+
+    return {
+      type: "textord",
+      mode: parser.mode,
+      text: String.fromCharCode(code)
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/functions/color.js
+
+
+
+
+
+
+
+var color_htmlBuilder = function htmlBuilder(group, options) {
+  var elements = buildHTML_buildExpression(group.body, options.withColor(group.color), false); // \color isn't supposed to affect the type of the elements it contains.
+  // To accomplish this, we wrap the results in a fragment, so the inner
+  // elements will be able to directly interact with their neighbors. For
+  // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3`
+
+  return buildCommon.makeFragment(elements);
+};
+
+var color_mathmlBuilder = function mathmlBuilder(group, options) {
+  var inner = buildMathML_buildExpression(group.body, options.withColor(group.color));
+  var node = new mathMLTree.MathNode("mstyle", inner);
+  node.setAttribute("mathcolor", group.color);
+  return node;
+};
+
+defineFunction({
+  type: "color",
+  names: ["\\textcolor"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "original"]
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var color = assertNodeType(args[0], "color-token").color;
+    var body = args[1];
+    return {
+      type: "color",
+      mode: parser.mode,
+      color: color,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: color_htmlBuilder,
+  mathmlBuilder: color_mathmlBuilder
+});
+defineFunction({
+  type: "color",
+  names: ["\\color"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color"]
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser,
+        breakOnTokenText = _ref2.breakOnTokenText;
+    var color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current
+    // color, mimicking the behavior of color.sty.
+    // This is currently used just to correctly color a \right
+    // that follows a \color command.
+
+    parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored.
+
+    var body = parser.parseExpression(true, breakOnTokenText);
+    return {
+      type: "color",
+      mode: parser.mode,
+      color: color,
+      body: body
+    };
+  },
+  htmlBuilder: color_htmlBuilder,
+  mathmlBuilder: color_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/cr.js
+// Row breaks within tabular environments, and line breaks at top level
+
+
+
+
+
+ // \\ is a macro mapping to either \cr or \newline.  Because they have the
+// same signature, we implement them as one megafunction, with newRow
+// indicating whether we're in the \cr case, and newLine indicating whether
+// to break the line in the \newline case.
+
+defineFunction({
+  type: "cr",
+  names: ["\\cr", "\\newline"],
+  props: {
+    numArgs: 0,
+    numOptionalArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var size = optArgs[0];
+    var newRow = funcName === "\\cr";
+    var newLine = false;
+
+    if (!newRow) {
+      if (parser.settings.displayMode && parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode")) {
+        newLine = false;
+      } else {
+        newLine = true;
+      }
+    }
+
+    return {
+      type: "cr",
+      mode: parser.mode,
+      newLine: newLine,
+      newRow: newRow,
+      size: size && assertNodeType(size, "size").value
+    };
+  },
+  // The following builders are called only at the top level,
+  // not within tabular/array environments.
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (group.newRow) {
+      throw new src_ParseError("\\cr valid only within a tabular/array environment");
+    }
+
+    var span = buildCommon.makeSpan(["mspace"], [], options);
+
+    if (group.newLine) {
+      span.classes.push("newline");
+
+      if (group.size) {
+        span.style.marginTop = units_calculateSize(group.size, options) + "em";
+      }
+    }
+
+    return span;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mspace");
+
+    if (group.newLine) {
+      node.setAttribute("linebreak", "newline");
+
+      if (group.size) {
+        node.setAttribute("height", units_calculateSize(group.size, options) + "em");
+      }
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/def.js
+
+
+
+var globalMap = {
+  "\\global": "\\global",
+  "\\long": "\\\\globallong",
+  "\\\\globallong": "\\\\globallong",
+  "\\def": "\\gdef",
+  "\\gdef": "\\gdef",
+  "\\edef": "\\xdef",
+  "\\xdef": "\\xdef",
+  "\\let": "\\\\globallet",
+  "\\futurelet": "\\\\globalfuture"
+};
+
+var def_checkControlSequence = function checkControlSequence(tok) {
+  var name = tok.text;
+
+  if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) {
+    throw new src_ParseError("Expected a control sequence", tok);
+  }
+
+  return name;
+};
+
+var getRHS = function getRHS(parser) {
+  var tok = parser.gullet.popToken();
+
+  if (tok.text === "=") {
+    // consume optional equals
+    tok = parser.gullet.popToken();
+
+    if (tok.text === " ") {
+      // consume one optional space
+      tok = parser.gullet.popToken();
+    }
+  }
+
+  return tok;
+};
+
+var letCommand = function letCommand(parser, name, tok, global) {
+  var macro = parser.gullet.macros.get(tok.text);
+
+  if (macro == null) {
+    // don't expand it later even if a macro with the same name is defined
+    // e.g., \let\foo=\frac \def\frac{\relax} \frac12
+    tok.noexpand = true;
+    macro = {
+      tokens: [tok],
+      numArgs: 0,
+      // reproduce the same behavior in expansion
+      unexpandable: !parser.gullet.isExpandable(tok.text)
+    };
+  }
+
+  parser.gullet.macros.set(name, macro, global);
+}; // <assignment> -> <non-macro assignment>|<macro assignment>
+// <non-macro assignment> -> <simple assignment>|\global<non-macro assignment>
+// <macro assignment> -> <definition>|<prefix><macro assignment>
+// <prefix> -> \global|\long|\outer
+
+
+defineFunction({
+  type: "internal",
+  names: ["\\global", "\\long", "\\\\globallong"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    parser.consumeSpaces();
+    var token = parser.fetch();
+
+    if (globalMap[token.text]) {
+      // KaTeX doesn't have \par, so ignore \long
+      if (funcName === "\\global" || funcName === "\\\\globallong") {
+        token.text = globalMap[token.text];
+      }
+
+      return assertNodeType(parser.parseFunction(), "internal");
+    }
+
+    throw new src_ParseError("Invalid token after macro prefix", token);
+  }
+}); // Basic support for macro definitions: \def, \gdef, \edef, \xdef
+// <definition> -> <def><control sequence><definition text>
+// <def> -> \def|\gdef|\edef|\xdef
+// <definition text> -> <parameter text><left brace><balanced text><right brace>
+
+defineFunction({
+  type: "internal",
+  names: ["\\def", "\\gdef", "\\edef", "\\xdef"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref2) {
+    var parser = _ref2.parser,
+        funcName = _ref2.funcName;
+    var arg = parser.gullet.consumeArgs(1)[0];
+
+    if (arg.length !== 1) {
+      throw new src_ParseError("\\gdef's first argument must be a macro name");
+    }
+
+    var name = arg[0].text; // Count argument specifiers, and check they are in the order #1 #2 ...
+
+    var numArgs = 0;
+    arg = parser.gullet.consumeArgs(1)[0];
+
+    while (arg.length === 1 && arg[0].text === "#") {
+      arg = parser.gullet.consumeArgs(1)[0];
+
+      if (arg.length !== 1) {
+        throw new src_ParseError("Invalid argument number length \"" + arg.length + "\"");
+      }
+
+      if (!/^[1-9]$/.test(arg[0].text)) {
+        throw new src_ParseError("Invalid argument number \"" + arg[0].text + "\"");
+      }
+
+      numArgs++;
+
+      if (parseInt(arg[0].text) !== numArgs) {
+        throw new src_ParseError("Argument number \"" + arg[0].text + "\" out of order");
+      }
+
+      arg = parser.gullet.consumeArgs(1)[0];
+    }
+
+    if (funcName === "\\edef" || funcName === "\\xdef") {
+      arg = parser.gullet.expandTokens(arg);
+      arg.reverse(); // to fit in with stack order
+    } // Final arg is the expansion of the macro
+
+
+    parser.gullet.macros.set(name, {
+      tokens: arg,
+      numArgs: numArgs
+    }, funcName === globalMap[funcName]);
+    return {
+      type: "internal",
+      mode: parser.mode
+    };
+  }
+}); // <simple assignment> -> <let assignment>
+// <let assignment> -> \futurelet<control sequence><token><token>
+//     | \let<control sequence><equals><one optional space><token>
+// <equals> -> <optional spaces>|<optional spaces>=
+
+defineFunction({
+  type: "internal",
+  names: ["\\let", "\\\\globallet"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref3) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    var name = def_checkControlSequence(parser.gullet.popToken());
+    parser.gullet.consumeSpaces();
+    var tok = getRHS(parser);
+    letCommand(parser, name, tok, funcName === "\\\\globallet");
+    return {
+      type: "internal",
+      mode: parser.mode
+    };
+  }
+}); // ref: https://www.tug.org/TUGboat/tb09-3/tb22bechtolsheim.pdf
+
+defineFunction({
+  type: "internal",
+  names: ["\\futurelet", "\\\\globalfuture"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref4) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    var name = def_checkControlSequence(parser.gullet.popToken());
+    var middle = parser.gullet.popToken();
+    var tok = parser.gullet.popToken();
+    letCommand(parser, name, tok, funcName === "\\\\globalfuture");
+    parser.gullet.pushToken(tok);
+    parser.gullet.pushToken(middle);
+    return {
+      type: "internal",
+      mode: parser.mode
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/delimiter.js
+/**
+ * This file deals with creating delimiters of various sizes. The TeXbook
+ * discusses these routines on page 441-442, in the "Another subroutine sets box
+ * x to a specified variable delimiter" paragraph.
+ *
+ * There are three main routines here. `makeSmallDelim` makes a delimiter in the
+ * normal font, but in either text, script, or scriptscript style.
+ * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,
+ * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of
+ * smaller pieces that are stacked on top of one another.
+ *
+ * The functions take a parameter `center`, which determines if the delimiter
+ * should be centered around the axis.
+ *
+ * Then, there are three exposed functions. `sizedDelim` makes a delimiter in
+ * one of the given sizes. This is used for things like `\bigl`.
+ * `customSizedDelim` makes a delimiter with a given total height+depth. It is
+ * called in places like `\sqrt`. `leftRightDelim` makes an appropriate
+ * delimiter which surrounds an expression of a given height an depth. It is
+ * used in `\left` and `\right`.
+ */
+
+
+
+
+
+
+
+
+
+/**
+ * Get the metrics for a given symbol and font, after transformation (i.e.
+ * after following replacement from symbols.js)
+ */
+var delimiter_getMetrics = function getMetrics(symbol, font, mode) {
+  var replace = src_symbols.math[symbol] && src_symbols.math[symbol].replace;
+  var metrics = getCharacterMetrics(replace || symbol, font, mode);
+
+  if (!metrics) {
+    throw new Error("Unsupported symbol " + symbol + " and font size " + font + ".");
+  }
+
+  return metrics;
+};
+/**
+ * Puts a delimiter span in a given style, and adds appropriate height, depth,
+ * and maxFontSizes.
+ */
+
+
+var delimiter_styleWrap = function styleWrap(delim, toStyle, options, classes) {
+  var newOptions = options.havingBaseStyle(toStyle);
+  var span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options);
+  var delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier;
+  span.height *= delimSizeMultiplier;
+  span.depth *= delimSizeMultiplier;
+  span.maxFontSize = newOptions.sizeMultiplier;
+  return span;
+};
+
+var centerSpan = function centerSpan(span, options, style) {
+  var newOptions = options.havingBaseStyle(style);
+  var shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight;
+  span.classes.push("delimcenter");
+  span.style.top = shift + "em";
+  span.height -= shift;
+  span.depth += shift;
+};
+/**
+ * Makes a small delimiter. This is a delimiter that comes in the Main-Regular
+ * font, but is restyled to either be in textstyle, scriptstyle, or
+ * scriptscriptstyle.
+ */
+
+
+var delimiter_makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
+  var text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
+  var span = delimiter_styleWrap(text, style, options, classes);
+
+  if (center) {
+    centerSpan(span, options, style);
+  }
+
+  return span;
+};
+/**
+ * Builds a symbol in the given font size (note size is an integer)
+ */
+
+
+var delimiter_mathrmSize = function mathrmSize(value, size, mode, options) {
+  return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options);
+};
+/**
+ * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,
+ * Size3, or Size4 fonts. It is always rendered in textstyle.
+ */
+
+
+var delimiter_makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
+  var inner = delimiter_mathrmSize(delim, size, mode, options);
+  var span = delimiter_styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), src_Style.TEXT, options, classes);
+
+  if (center) {
+    centerSpan(span, options, src_Style.TEXT);
+  }
+
+  return span;
+};
+/**
+ * Make an inner span with the given offset and in the given font. This is used
+ * in `makeStackedDelim` to make the stacking pieces for the delimiter.
+ */
+
+
+var delimiter_makeInner = function makeInner(symbol, font, mode) {
+  var sizeClass; // Apply the correct CSS class to choose the right font.
+
+  if (font === "Size1-Regular") {
+    sizeClass = "delim-size1";
+  } else
+    /* if (font === "Size4-Regular") */
+    {
+      sizeClass = "delim-size4";
+    }
+
+  var inner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); // Since this will be passed into `makeVList` in the end, wrap the element
+  // in the appropriate tag that VList uses.
+
+  return {
+    type: "elem",
+    elem: inner
+  };
+}; // Helper for makeStackedDelim
+
+
+var lap = {
+  type: "kern",
+  size: -0.005
+};
+/**
+ * Make a stacked delimiter out of a given delimiter, with the total height at
+ * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.
+ */
+
+var delimiter_makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) {
+  // There are four parts, the top, an optional middle, a repeated part, and a
+  // bottom.
+  var top;
+  var middle;
+  var repeat;
+  var bottom;
+  top = repeat = bottom = delim;
+  middle = null; // Also keep track of what font the delimiters are in
+
+  var font = "Size1-Regular"; // We set the parts and font based on the symbol. Note that we use
+  // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the
+  // repeats of the arrows
+
+  if (delim === "\\uparrow") {
+    repeat = bottom = "\u23D0";
+  } else if (delim === "\\Uparrow") {
+    repeat = bottom = "\u2016";
+  } else if (delim === "\\downarrow") {
+    top = repeat = "\u23D0";
+  } else if (delim === "\\Downarrow") {
+    top = repeat = "\u2016";
+  } else if (delim === "\\updownarrow") {
+    top = "\\uparrow";
+    repeat = "\u23D0";
+    bottom = "\\downarrow";
+  } else if (delim === "\\Updownarrow") {
+    top = "\\Uparrow";
+    repeat = "\u2016";
+    bottom = "\\Downarrow";
+  } else if (delim === "[" || delim === "\\lbrack") {
+    top = "\u23A1";
+    repeat = "\u23A2";
+    bottom = "\u23A3";
+    font = "Size4-Regular";
+  } else if (delim === "]" || delim === "\\rbrack") {
+    top = "\u23A4";
+    repeat = "\u23A5";
+    bottom = "\u23A6";
+    font = "Size4-Regular";
+  } else if (delim === "\\lfloor" || delim === "\u230A") {
+    repeat = top = "\u23A2";
+    bottom = "\u23A3";
+    font = "Size4-Regular";
+  } else if (delim === "\\lceil" || delim === "\u2308") {
+    top = "\u23A1";
+    repeat = bottom = "\u23A2";
+    font = "Size4-Regular";
+  } else if (delim === "\\rfloor" || delim === "\u230B") {
+    repeat = top = "\u23A5";
+    bottom = "\u23A6";
+    font = "Size4-Regular";
+  } else if (delim === "\\rceil" || delim === "\u2309") {
+    top = "\u23A4";
+    repeat = bottom = "\u23A5";
+    font = "Size4-Regular";
+  } else if (delim === "(" || delim === "\\lparen") {
+    top = "\u239B";
+    repeat = "\u239C";
+    bottom = "\u239D";
+    font = "Size4-Regular";
+  } else if (delim === ")" || delim === "\\rparen") {
+    top = "\u239E";
+    repeat = "\u239F";
+    bottom = "\u23A0";
+    font = "Size4-Regular";
+  } else if (delim === "\\{" || delim === "\\lbrace") {
+    top = "\u23A7";
+    middle = "\u23A8";
+    bottom = "\u23A9";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\}" || delim === "\\rbrace") {
+    top = "\u23AB";
+    middle = "\u23AC";
+    bottom = "\u23AD";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\lgroup" || delim === "\u27EE") {
+    top = "\u23A7";
+    bottom = "\u23A9";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\rgroup" || delim === "\u27EF") {
+    top = "\u23AB";
+    bottom = "\u23AD";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\lmoustache" || delim === "\u23B0") {
+    top = "\u23A7";
+    bottom = "\u23AD";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } else if (delim === "\\rmoustache" || delim === "\u23B1") {
+    top = "\u23AB";
+    bottom = "\u23A9";
+    repeat = "\u23AA";
+    font = "Size4-Regular";
+  } // Get the metrics of the four sections
+
+
+  var topMetrics = delimiter_getMetrics(top, font, mode);
+  var topHeightTotal = topMetrics.height + topMetrics.depth;
+  var repeatMetrics = delimiter_getMetrics(repeat, font, mode);
+  var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
+  var bottomMetrics = delimiter_getMetrics(bottom, font, mode);
+  var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
+  var middleHeightTotal = 0;
+  var middleFactor = 1;
+
+  if (middle !== null) {
+    var middleMetrics = delimiter_getMetrics(middle, font, mode);
+    middleHeightTotal = middleMetrics.height + middleMetrics.depth;
+    middleFactor = 2; // repeat symmetrically above and below middle
+  } // Calcuate the minimal height that the delimiter can have.
+  // It is at least the size of the top, bottom, and optional middle combined.
+
+
+  var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need
+
+  var repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols
+
+  var realHeightTotal = minHeight + repeatCount * middleFactor * repeatHeightTotal; // The center of the delimiter is placed at the center of the axis. Note
+  // that in this context, "center" means that the delimiter should be
+  // centered around the axis in the current style, while normally it is
+  // centered around the axis in textstyle.
+
+  var axisHeight = options.fontMetrics().axisHeight;
+
+  if (center) {
+    axisHeight *= options.sizeMultiplier;
+  } // Calculate the depth
+
+
+  var depth = realHeightTotal / 2 - axisHeight; // This function differs from the TeX procedure in one way.
+  // We shift each repeat element downwards by 0.005em, to prevent a gap
+  // due to browser floating point rounding error.
+  // Then, at the last element-to element joint, we add one extra repeat
+  // element to cover the gap created by the shifts.
+  // Find the shift needed to align the upper end of the extra element at a point
+  // 0.005em above the lower end of the top element.
+
+  var shiftOfExtraElement = (repeatCount + 1) * 0.005 - repeatHeightTotal; // Now, we start building the pieces that will go into the vlist
+  // Keep a list of the inner pieces
+
+  var inners = []; // Add the bottom symbol
+
+  inners.push(delimiter_makeInner(bottom, font, mode));
+
+  if (middle === null) {
+    // Add that many symbols
+    for (var i = 0; i < repeatCount; i++) {
+      inners.push(lap); // overlap
+
+      inners.push(delimiter_makeInner(repeat, font, mode));
+    }
+  } else {
+    // When there is a middle bit, we need the middle part and two repeated
+    // sections
+    for (var _i = 0; _i < repeatCount; _i++) {
+      inners.push(lap);
+      inners.push(delimiter_makeInner(repeat, font, mode));
+    } // Insert one extra repeat element.
+
+
+    inners.push({
+      type: "kern",
+      size: shiftOfExtraElement
+    });
+    inners.push(delimiter_makeInner(repeat, font, mode));
+    inners.push(lap); // Now insert the middle of the brace.
+
+    inners.push(delimiter_makeInner(middle, font, mode));
+
+    for (var _i2 = 0; _i2 < repeatCount; _i2++) {
+      inners.push(lap);
+      inners.push(delimiter_makeInner(repeat, font, mode));
+    }
+  } // To cover the gap create by the overlaps, insert one more repeat element,
+  // at a position that juts 0.005 above the bottom of the top element.
+
+
+  if ((repeat === "\u239C" || repeat === "\u239F") && repeatCount === 0) {
+    // Parentheses need a short repeat element in order to avoid an overrun.
+    // We'll make a 0.3em tall element from a SVG.
+    var overlap = buildCommon.svgData.leftParenInner[2] / 2;
+    inners.push({
+      type: "kern",
+      size: -overlap
+    });
+    var pathName = repeat === "\u239C" ? "leftParenInner" : "rightParenInner";
+    var innerSpan = buildCommon.staticSvg(pathName, options);
+    inners.push({
+      type: "elem",
+      elem: innerSpan
+    });
+    inners.push({
+      type: "kern",
+      size: -overlap
+    });
+  } else {
+    inners.push({
+      type: "kern",
+      size: shiftOfExtraElement
+    });
+    inners.push(delimiter_makeInner(repeat, font, mode));
+    inners.push(lap);
+  } // Add the top symbol
+
+
+  inners.push(delimiter_makeInner(top, font, mode)); // Finally, build the vlist
+
+  var newOptions = options.havingBaseStyle(src_Style.TEXT);
+  var inner = buildCommon.makeVList({
+    positionType: "bottom",
+    positionData: depth,
+    children: inners
+  }, newOptions);
+  return delimiter_styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), src_Style.TEXT, options, classes);
+}; // All surds have 0.08em padding above the viniculum inside the SVG.
+// That keeps browser span height rounding error from pinching the line.
+
+
+var vbPad = 80; // padding above the surd, measured inside the viewBox.
+
+var emPad = 0.08; // padding, in ems, measured in the document.
+
+var delimiter_sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) {
+  var path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight);
+  var pathNode = new domTree_PathNode(sqrtName, path);
+  var svg = new SvgNode([pathNode], {
+    // Note: 1000:1 ratio of viewBox to document em width.
+    "width": "400em",
+    "height": height + "em",
+    "viewBox": "0 0 400000 " + viewBoxHeight,
+    "preserveAspectRatio": "xMinYMin slice"
+  });
+  return buildCommon.makeSvgSpan(["hide-tail"], [svg], options);
+};
+/**
+ * Make a sqrt image of the given height,
+ */
+
+
+var makeSqrtImage = function makeSqrtImage(height, options) {
+  // Define a newOptions that removes the effect of size changes such as \Huge.
+  // We don't pick different a height surd for \Huge. For it, we scale up.
+  var newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds.
+
+  var delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions);
+  var sizeMultiplier = newOptions.sizeMultiplier; // default
+  // The standard sqrt SVGs each have a 0.04em thick viniculum.
+  // If Settings.minRuleThickness is larger than that, we add extraViniculum.
+
+  var extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol.
+
+  var span;
+  var spanHeight = 0;
+  var texHeight = 0;
+  var viewBoxHeight = 0;
+  var advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd.
+  // Then browser rounding error on the parent span height will not
+  // encroach on the ink of the viniculum. But that padding is not
+  // included in the TeX-like `height` used for calculation of
+  // vertical alignment. So texHeight = span.height < span.style.height.
+
+  if (delim.type === "small") {
+    // Get an SVG that is derived from glyph U+221A in font KaTeX-Main.
+    // 1000 unit normal glyph height.
+    viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad;
+
+    if (height < 1.0) {
+      sizeMultiplier = 1.0; // mimic a \textfont radical
+    } else if (height < 1.4) {
+      sizeMultiplier = 0.7; // mimic a \scriptfont radical
+    }
+
+    spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier;
+    texHeight = (1.00 + extraViniculum) / sizeMultiplier;
+    span = delimiter_sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.853em";
+    advanceWidth = 0.833 / sizeMultiplier; // from the font.
+  } else if (delim.type === "large") {
+    // These SVGs come from fonts: KaTeX_Size1, _Size2, etc.
+    viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size];
+    texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier;
+    spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier;
+    span = delimiter_sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "1.02em";
+    advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font.
+  } else {
+    // Tall sqrt. In TeX, this would be stacked using multiple glyphs.
+    // We'll use a single SVG to accomplish the same thing.
+    spanHeight = height + extraViniculum + emPad;
+    texHeight = height + extraViniculum;
+    viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad;
+    span = delimiter_sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.742em";
+    advanceWidth = 1.056;
+  }
+
+  span.height = texHeight;
+  span.style.height = spanHeight + "em";
+  return {
+    span: span,
+    advanceWidth: advanceWidth,
+    // Calculate the actual line width.
+    // This actually should depend on the chosen font -- e.g. \boldmath
+    // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and
+    // have thicker rules.
+    ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier
+  };
+}; // There are three kinds of delimiters, delimiters that stack when they become
+// too large
+
+
+var stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230A", "\u230B", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack
+
+var stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27EE", "\u27EF", "\\lmoustache", "\\rmoustache", "\u23B0", "\u23B1"]; // and delimiters that never stack
+
+var stackNeverDelimiters = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"]; // Metrics of the different sizes. Found by looking at TeX's output of
+// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$
+// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.
+
+var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];
+/**
+ * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.
+ */
+
+var delimiter_makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) {
+  // < and > turn into \langle and \rangle in delimiters
+  if (delim === "<" || delim === "\\lt" || delim === "\u27E8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27E9") {
+    delim = "\\rangle";
+  } // Sized delimiters are never centered.
+
+
+  if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) {
+    return delimiter_makeLargeDelim(delim, size, false, options, mode, classes);
+  } else if (utils.contains(stackAlwaysDelimiters, delim)) {
+    return delimiter_makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes);
+  } else {
+    throw new src_ParseError("Illegal delimiter: '" + delim + "'");
+  }
+};
+/**
+ * There are three different sequences of delimiter sizes that the delimiters
+ * follow depending on the kind of delimiter. This is used when creating custom
+ * sized delimiters to decide whether to create a small, large, or stacked
+ * delimiter.
+ *
+ * In real TeX, these sequences aren't explicitly defined, but are instead
+ * defined inside the font metrics. Since there are only three sequences that
+ * are possible for the delimiters that TeX defines, it is easier to just encode
+ * them explicitly here.
+ */
+
+
+// Delimiters that never stack try small delimiters and large delimiters only
+var stackNeverDelimiterSequence = [{
+  type: "small",
+  style: src_Style.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: src_Style.SCRIPT
+}, {
+  type: "small",
+  style: src_Style.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}]; // Delimiters that always stack try the small delimiters first, then stack
+
+var stackAlwaysDelimiterSequence = [{
+  type: "small",
+  style: src_Style.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: src_Style.SCRIPT
+}, {
+  type: "small",
+  style: src_Style.TEXT
+}, {
+  type: "stack"
+}]; // Delimiters that stack when large try the small and then large delimiters, and
+// stack afterwards
+
+var stackLargeDelimiterSequence = [{
+  type: "small",
+  style: src_Style.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: src_Style.SCRIPT
+}, {
+  type: "small",
+  style: src_Style.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}, {
+  type: "stack"
+}];
+/**
+ * Get the font used in a delimiter based on what kind of delimiter it is.
+ * TODO(#963) Use more specific font family return type once that is introduced.
+ */
+
+var delimTypeToFont = function delimTypeToFont(type) {
+  if (type.type === "small") {
+    return "Main-Regular";
+  } else if (type.type === "large") {
+    return "Size" + type.size + "-Regular";
+  } else if (type.type === "stack") {
+    return "Size4-Regular";
+  } else {
+    throw new Error("Add support for delim type '" + type.type + "' here.");
+  }
+};
+/**
+ * Traverse a sequence of types of delimiters to decide what kind of delimiter
+ * should be used to create a delimiter of the given height+depth.
+ */
+
+
+var traverseSequence = function traverseSequence(delim, height, sequence, options) {
+  // Here, we choose the index we should start at in the sequences. In smaller
+  // sizes (which correspond to larger numbers in style.size) we start earlier
+  // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts
+  // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2
+  var start = Math.min(2, 3 - options.style.size);
+
+  for (var i = start; i < sequence.length; i++) {
+    if (sequence[i].type === "stack") {
+      // This is always the last delimiter, so we just break the loop now.
+      break;
+    }
+
+    var metrics = delimiter_getMetrics(delim, delimTypeToFont(sequence[i]), "math");
+    var heightDepth = metrics.height + metrics.depth; // Small delimiters are scaled down versions of the same font, so we
+    // account for the style change size.
+
+    if (sequence[i].type === "small") {
+      var newOptions = options.havingBaseStyle(sequence[i].style);
+      heightDepth *= newOptions.sizeMultiplier;
+    } // Check if the delimiter at this size works for the given height.
+
+
+    if (heightDepth > height) {
+      return sequence[i];
+    }
+  } // If we reached the end of the sequence, return the last sequence element.
+
+
+  return sequence[sequence.length - 1];
+};
+/**
+ * Make a delimiter of a given height+depth, with optional centering. Here, we
+ * traverse the sequences, and create a delimiter that the sequence tells us to.
+ */
+
+
+var delimiter_makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) {
+  if (delim === "<" || delim === "\\lt" || delim === "\u27E8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27E9") {
+    delim = "\\rangle";
+  } // Decide what sequence to use
+
+
+  var sequence;
+
+  if (utils.contains(stackNeverDelimiters, delim)) {
+    sequence = stackNeverDelimiterSequence;
+  } else if (utils.contains(stackLargeDelimiters, delim)) {
+    sequence = stackLargeDelimiterSequence;
+  } else {
+    sequence = stackAlwaysDelimiterSequence;
+  } // Look through the sequence
+
+
+  var delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs.
+  // Depending on the sequence element we decided on, call the
+  // appropriate function.
+
+  if (delimType.type === "small") {
+    return delimiter_makeSmallDelim(delim, delimType.style, center, options, mode, classes);
+  } else if (delimType.type === "large") {
+    return delimiter_makeLargeDelim(delim, delimType.size, center, options, mode, classes);
+  } else
+    /* if (delimType.type === "stack") */
+    {
+      return delimiter_makeStackedDelim(delim, height, center, options, mode, classes);
+    }
+};
+/**
+ * Make a delimiter for use with `\left` and `\right`, given a height and depth
+ * of an expression that the delimiters surround.
+ */
+
+
+var makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) {
+  // We always center \left/\right delimiters, so the axis is always shifted
+  var axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right
+
+  var delimiterFactor = 901;
+  var delimiterExtend = 5.0 / options.fontMetrics().ptPerEm;
+  var maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight);
+  var totalHeight = Math.max( // In real TeX, calculations are done using integral values which are
+  // 65536 per pt, or 655360 per em. So, the division here truncates in
+  // TeX but doesn't here, producing different results. If we wanted to
+  // exactly match TeX's calculation, we could do
+  //   Math.floor(655360 * maxDistFromAxis / 500) *
+  //    delimiterFactor / 655360
+  // (To see the difference, compare
+  //    x^{x^{\left(\rule{0.1em}{0.68em}\right)}}
+  // in TeX and KaTeX)
+  maxDistFromAxis / 500 * delimiterFactor, 2 * maxDistFromAxis - delimiterExtend); // Finally, we defer to `makeCustomSizedDelim` with our calculated total
+  // height
+
+  return delimiter_makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes);
+};
+
+/* harmony default export */ var delimiter = ({
+  sqrtImage: makeSqrtImage,
+  sizedDelim: delimiter_makeSizedDelim,
+  customSizedDelim: delimiter_makeCustomSizedDelim,
+  leftRightDelim: makeLeftRightDelim
+});
+// CONCATENATED MODULE: ./src/functions/delimsizing.js
+
+
+
+
+
+
+
+
+
+// Extra data needed for the delimiter handler down below
+var delimiterSizes = {
+  "\\bigl": {
+    mclass: "mopen",
+    size: 1
+  },
+  "\\Bigl": {
+    mclass: "mopen",
+    size: 2
+  },
+  "\\biggl": {
+    mclass: "mopen",
+    size: 3
+  },
+  "\\Biggl": {
+    mclass: "mopen",
+    size: 4
+  },
+  "\\bigr": {
+    mclass: "mclose",
+    size: 1
+  },
+  "\\Bigr": {
+    mclass: "mclose",
+    size: 2
+  },
+  "\\biggr": {
+    mclass: "mclose",
+    size: 3
+  },
+  "\\Biggr": {
+    mclass: "mclose",
+    size: 4
+  },
+  "\\bigm": {
+    mclass: "mrel",
+    size: 1
+  },
+  "\\Bigm": {
+    mclass: "mrel",
+    size: 2
+  },
+  "\\biggm": {
+    mclass: "mrel",
+    size: 3
+  },
+  "\\Biggm": {
+    mclass: "mrel",
+    size: 4
+  },
+  "\\big": {
+    mclass: "mord",
+    size: 1
+  },
+  "\\Big": {
+    mclass: "mord",
+    size: 2
+  },
+  "\\bigg": {
+    mclass: "mord",
+    size: 3
+  },
+  "\\Bigg": {
+    mclass: "mord",
+    size: 4
+  }
+};
+var delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230A", "\u230B", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27E8", "\\rangle", "\u27E9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27EE", "\u27EF", "\\lmoustache", "\\rmoustache", "\u23B0", "\u23B1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."];
+
+// Delimiter functions
+function checkDelimiter(delim, context) {
+  var symDelim = checkSymbolNodeType(delim);
+
+  if (symDelim && utils.contains(delimiters, symDelim.text)) {
+    return symDelim;
+  } else if (symDelim) {
+    throw new src_ParseError("Invalid delimiter '" + symDelim.text + "' after '" + context.funcName + "'", delim);
+  } else {
+    throw new src_ParseError("Invalid delimiter type '" + delim.type + "'", delim);
+  }
+}
+
+defineFunction({
+  type: "delimsizing",
+  names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var delim = checkDelimiter(args[0], context);
+    return {
+      type: "delimsizing",
+      mode: context.parser.mode,
+      size: delimiterSizes[context.funcName].size,
+      mclass: delimiterSizes[context.funcName].mclass,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (group.delim === ".") {
+      // Empty delimiters still count as elements, even though they don't
+      // show anything.
+      return buildCommon.makeSpan([group.mclass]);
+    } // Use delimiter.sizedDelim to generate the delimiter.
+
+
+    return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]);
+  },
+  mathmlBuilder: function mathmlBuilder(group) {
+    var children = [];
+
+    if (group.delim !== ".") {
+      children.push(buildMathML_makeText(group.delim, group.mode));
+    }
+
+    var node = new mathMLTree.MathNode("mo", children);
+
+    if (group.mclass === "mopen" || group.mclass === "mclose") {
+      // Only some of the delimsizing functions act as fences, and they
+      // return "mopen" or "mclose" mclass.
+      node.setAttribute("fence", "true");
+    } else {
+      // Explicitly disable fencing if it's not a fence, to override the
+      // defaults.
+      node.setAttribute("fence", "false");
+    }
+
+    return node;
+  }
+});
+
+function assertParsed(group) {
+  if (!group.body) {
+    throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
+  }
+}
+
+defineFunction({
+  type: "leftright-right",
+  names: ["\\right"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    // \left case below triggers parsing of \right in
+    //   `const right = parser.parseFunction();`
+    // uses this return value.
+    var color = context.parser.gullet.macros.get("\\current@color");
+
+    if (color && typeof color !== "string") {
+      throw new src_ParseError("\\current@color set to non-string in \\right");
+    }
+
+    return {
+      type: "leftright-right",
+      mode: context.parser.mode,
+      delim: checkDelimiter(args[0], context).text,
+      color: color // undefined if not set via \color
+
+    };
+  }
+});
+defineFunction({
+  type: "leftright",
+  names: ["\\left"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var delim = checkDelimiter(args[0], context);
+    var parser = context.parser; // Parse out the implicit body
+
+    ++parser.leftrightDepth; // parseExpression stops before '\\right'
+
+    var body = parser.parseExpression(false);
+    --parser.leftrightDepth; // Check the next token
+
+    parser.expect("\\right", false);
+    var right = assertNodeType(parser.parseFunction(), "leftright-right");
+    return {
+      type: "leftright",
+      mode: parser.mode,
+      body: body,
+      left: delim.text,
+      right: right.delim,
+      rightColor: right.color
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    assertParsed(group); // Build the inner expression
+
+    var inner = buildHTML_buildExpression(group.body, options, true, ["mopen", "mclose"]);
+    var innerHeight = 0;
+    var innerDepth = 0;
+    var hadMiddle = false; // Calculate its height and depth
+
+    for (var i = 0; i < inner.length; i++) {
+      // Property `isMiddle` not defined on `span`. See comment in
+      // "middle"'s htmlBuilder.
+      // $FlowFixMe
+      if (inner[i].isMiddle) {
+        hadMiddle = true;
+      } else {
+        innerHeight = Math.max(inner[i].height, innerHeight);
+        innerDepth = Math.max(inner[i].depth, innerDepth);
+      }
+    } // The size of delimiters is the same, regardless of what style we are
+    // in. Thus, to correctly calculate the size of delimiter we need around
+    // a group, we scale down the inner size based on the size.
+
+
+    innerHeight *= options.sizeMultiplier;
+    innerDepth *= options.sizeMultiplier;
+    var leftDelim;
+
+    if (group.left === ".") {
+      // Empty delimiters in \left and \right make null delimiter spaces.
+      leftDelim = makeNullDelimiter(options, ["mopen"]);
+    } else {
+      // Otherwise, use leftRightDelim to generate the correct sized
+      // delimiter.
+      leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]);
+    } // Add it to the beginning of the expression
+
+
+    inner.unshift(leftDelim); // Handle middle delimiters
+
+    if (hadMiddle) {
+      for (var _i = 1; _i < inner.length; _i++) {
+        var middleDelim = inner[_i]; // Property `isMiddle` not defined on `span`. See comment in
+        // "middle"'s htmlBuilder.
+        // $FlowFixMe
+
+        var isMiddle = middleDelim.isMiddle;
+
+        if (isMiddle) {
+          // Apply the options that were active when \middle was called
+          inner[_i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []);
+        }
+      }
+    }
+
+    var rightDelim; // Same for the right delimiter, but using color specified by \color
+
+    if (group.right === ".") {
+      rightDelim = makeNullDelimiter(options, ["mclose"]);
+    } else {
+      var colorOptions = group.rightColor ? options.withColor(group.rightColor) : options;
+      rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]);
+    } // Add it to the end of the expression.
+
+
+    inner.push(rightDelim);
+    return buildCommon.makeSpan(["minner"], inner, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    assertParsed(group);
+    var inner = buildMathML_buildExpression(group.body, options);
+
+    if (group.left !== ".") {
+      var leftNode = new mathMLTree.MathNode("mo", [buildMathML_makeText(group.left, group.mode)]);
+      leftNode.setAttribute("fence", "true");
+      inner.unshift(leftNode);
+    }
+
+    if (group.right !== ".") {
+      var rightNode = new mathMLTree.MathNode("mo", [buildMathML_makeText(group.right, group.mode)]);
+      rightNode.setAttribute("fence", "true");
+
+      if (group.rightColor) {
+        rightNode.setAttribute("mathcolor", group.rightColor);
+      }
+
+      inner.push(rightNode);
+    }
+
+    return buildMathML_makeRow(inner);
+  }
+});
+defineFunction({
+  type: "middle",
+  names: ["\\middle"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    var delim = checkDelimiter(args[0], context);
+
+    if (!context.parser.leftrightDepth) {
+      throw new src_ParseError("\\middle without preceding \\left", delim);
+    }
+
+    return {
+      type: "middle",
+      mode: context.parser.mode,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var middleDelim;
+
+    if (group.delim === ".") {
+      middleDelim = makeNullDelimiter(options, []);
+    } else {
+      middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []);
+      var isMiddle = {
+        delim: group.delim,
+        options: options
+      }; // Property `isMiddle` not defined on `span`. It is only used in
+      // this file above.
+      // TODO: Fix this violation of the `span` type and possibly rename
+      // things since `isMiddle` sounds like a boolean, but is a struct.
+      // $FlowFixMe
+
+      middleDelim.isMiddle = isMiddle;
+    }
+
+    return middleDelim;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // A Firefox \middle will strech a character vertically only if it
+    // is in the fence part of the operator dictionary at:
+    // https://www.w3.org/TR/MathML3/appendixc.html.
+    // So we need to avoid U+2223 and use plain "|" instead.
+    var textNode = group.delim === "\\vert" || group.delim === "|" ? buildMathML_makeText("|", "text") : buildMathML_makeText(group.delim, group.mode);
+    var middleNode = new mathMLTree.MathNode("mo", [textNode]);
+    middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each <mo> element.
+    // \middle should get delimiter spacing instead.
+
+    middleNode.setAttribute("lspace", "0.05em");
+    middleNode.setAttribute("rspace", "0.05em");
+    return middleNode;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/enclose.js
+
+
+
+
+
+
+
+
+
+var enclose_htmlBuilder = function htmlBuilder(group, options) {
+  // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox
+  // Some groups can return document fragments.  Handle those by wrapping
+  // them in a span.
+  var inner = buildCommon.wrapFragment(buildHTML_buildGroup(group.body, options), options);
+  var label = group.label.substr(1);
+  var scale = options.sizeMultiplier;
+  var img;
+  var imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different
+  // depending on whether the subject is wider than it is tall, or vice versa.
+  // We don't know the width of a group, so as a proxy, we test if
+  // the subject is a single character. This captures most of the
+  // subjects that should get the "tall" treatment.
+
+  var isSingleChar = utils.isCharacterBox(group.body);
+
+  if (label === "sout") {
+    img = buildCommon.makeSpan(["stretchy", "sout"]);
+    img.height = options.fontMetrics().defaultRuleThickness / scale;
+    imgShift = -0.5 * options.fontMetrics().xHeight;
+  } else {
+    // Add horizontal padding
+    if (/cancel/.test(label)) {
+      if (!isSingleChar) {
+        inner.classes.push("cancel-pad");
+      }
+    } else {
+      inner.classes.push("boxpad");
+    } // Add vertical padding
+
+
+    var vertPad = 0;
+    var ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2"
+
+    if (/box/.test(label)) {
+      ruleThickness = Math.max(options.fontMetrics().fboxrule, // default
+      options.minRuleThickness // User override.
+      );
+      vertPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
+    } else {
+      vertPad = isSingleChar ? 0.2 : 0;
+    }
+
+    img = stretchy.encloseSpan(inner, label, vertPad, options);
+
+    if (/fbox|boxed|fcolorbox/.test(label)) {
+      img.style.borderStyle = "solid";
+      img.style.borderWidth = ruleThickness + "em";
+    }
+
+    imgShift = inner.depth + vertPad;
+
+    if (group.backgroundColor) {
+      img.style.backgroundColor = group.backgroundColor;
+
+      if (group.borderColor) {
+        img.style.borderColor = group.borderColor;
+      }
+    }
+  }
+
+  var vlist;
+
+  if (group.backgroundColor) {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Put the color background behind inner;
+      {
+        type: "elem",
+        elem: img,
+        shift: imgShift
+      }, {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }]
+    }, options);
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Write the \cancel stroke on top of inner.
+      {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }, {
+        type: "elem",
+        elem: img,
+        shift: imgShift,
+        wrapperClasses: /cancel/.test(label) ? ["svg-align"] : []
+      }]
+    }, options);
+  }
+
+  if (/cancel/.test(label)) {
+    // The cancel package documentation says that cancel lines add their height
+    // to the expression, but tests show that isn't how it actually works.
+    vlist.height = inner.height;
+    vlist.depth = inner.depth;
+  }
+
+  if (/cancel/.test(label) && !isSingleChar) {
+    // cancel does not create horiz space for its line extension.
+    return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options);
+  } else {
+    return buildCommon.makeSpan(["mord"], [vlist], options);
+  }
+};
+
+var enclose_mathmlBuilder = function mathmlBuilder(group, options) {
+  var fboxsep = 0;
+  var node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildMathML_buildGroup(group.body, options)]);
+
+  switch (group.label) {
+    case "\\cancel":
+      node.setAttribute("notation", "updiagonalstrike");
+      break;
+
+    case "\\bcancel":
+      node.setAttribute("notation", "downdiagonalstrike");
+      break;
+
+    case "\\sout":
+      node.setAttribute("notation", "horizontalstrike");
+      break;
+
+    case "\\fbox":
+      node.setAttribute("notation", "box");
+      break;
+
+    case "\\fcolorbox":
+    case "\\colorbox":
+      // <menclose> doesn't have a good notation option. So use <mpadded>
+      // instead. Set some attributes that come included with <menclose>.
+      fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm;
+      node.setAttribute("width", "+" + 2 * fboxsep + "pt");
+      node.setAttribute("height", "+" + 2 * fboxsep + "pt");
+      node.setAttribute("lspace", fboxsep + "pt"); //
+
+      node.setAttribute("voffset", fboxsep + "pt");
+
+      if (group.label === "\\fcolorbox") {
+        var thk = Math.max(options.fontMetrics().fboxrule, // default
+        options.minRuleThickness // user override
+        );
+        node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor));
+      }
+
+      break;
+
+    case "\\xcancel":
+      node.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
+      break;
+  }
+
+  if (group.backgroundColor) {
+    node.setAttribute("mathbackground", group.backgroundColor);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "enclose",
+  names: ["\\colorbox"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "text"]
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var color = assertNodeType(args[0], "color-token").color;
+    var body = args[1];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor: color,
+      body: body
+    };
+  },
+  htmlBuilder: enclose_htmlBuilder,
+  mathmlBuilder: enclose_mathmlBuilder
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fcolorbox"],
+  props: {
+    numArgs: 3,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "color", "text"]
+  },
+  handler: function handler(_ref2, args, optArgs) {
+    var parser = _ref2.parser,
+        funcName = _ref2.funcName;
+    var borderColor = assertNodeType(args[0], "color-token").color;
+    var backgroundColor = assertNodeType(args[1], "color-token").color;
+    var body = args[2];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor: backgroundColor,
+      borderColor: borderColor,
+      body: body
+    };
+  },
+  htmlBuilder: enclose_htmlBuilder,
+  mathmlBuilder: enclose_mathmlBuilder
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fbox"],
+  props: {
+    numArgs: 1,
+    argTypes: ["hbox"],
+    allowedInText: true
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser;
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: "\\fbox",
+      body: args[0]
+    };
+  }
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref4, args, optArgs) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    var body = args[0];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      body: body
+    };
+  },
+  htmlBuilder: enclose_htmlBuilder,
+  mathmlBuilder: enclose_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/defineEnvironment.js
+
+
+/**
+ * All registered environments.
+ * `environments.js` exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary via `environments.js`.
+ */
+var _environments = {};
+function defineEnvironment(_ref) {
+  var type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of environments.
+  var data = {
+    type: type,
+    numArgs: props.numArgs || 0,
+    greediness: 1,
+    allowedInText: false,
+    numOptionalArgs: 0,
+    handler: handler
+  };
+
+  for (var i = 0; i < names.length; ++i) {
+    // TODO: The value type of _environments should be a type union of all
+    // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is
+    // an existential type.
+    // $FlowFixMe
+    _environments[names[i]] = data;
+  }
+
+  if (htmlBuilder) {
+    _htmlGroupBuilders[type] = htmlBuilder;
+  }
+
+  if (mathmlBuilder) {
+    _mathmlGroupBuilders[type] = mathmlBuilder;
+  }
+}
+// CONCATENATED MODULE: ./src/environments/array.js
+
+
+
+
+
+
+
+
+
+
+
+
+
+function getHLines(parser) {
+  // Return an array. The array length = number of hlines.
+  // Each element in the array tells if the line is dashed.
+  var hlineInfo = [];
+  parser.consumeSpaces();
+  var nxt = parser.fetch().text;
+
+  while (nxt === "\\hline" || nxt === "\\hdashline") {
+    parser.consume();
+    hlineInfo.push(nxt === "\\hdashline");
+    parser.consumeSpaces();
+    nxt = parser.fetch().text;
+  }
+
+  return hlineInfo;
+}
+/**
+ * Parse the body of the environment, with rows delimited by \\ and
+ * columns delimited by &, and create a nested list in row-major order
+ * with one group per cell.  If given an optional argument style
+ * ("text", "display", etc.), then each cell is cast into that style.
+ */
+
+
+function parseArray(parser, _ref, style) {
+  var hskipBeforeAndAfter = _ref.hskipBeforeAndAfter,
+      addJot = _ref.addJot,
+      cols = _ref.cols,
+      arraystretch = _ref.arraystretch,
+      colSeparationType = _ref.colSeparationType;
+  // Parse body of array with \\ temporarily mapped to \cr
+  parser.gullet.beginGroup();
+  parser.gullet.macros.set("\\\\", "\\cr"); // Get current arraystretch if it's not set by the environment
+
+  if (!arraystretch) {
+    var stretch = parser.gullet.expandMacroAsText("\\arraystretch");
+
+    if (stretch == null) {
+      // Default \arraystretch from lttab.dtx
+      arraystretch = 1;
+    } else {
+      arraystretch = parseFloat(stretch);
+
+      if (!arraystretch || arraystretch < 0) {
+        throw new src_ParseError("Invalid \\arraystretch: " + stretch);
+      }
+    }
+  } // Start group for first cell
+
+
+  parser.gullet.beginGroup();
+  var row = [];
+  var body = [row];
+  var rowGaps = [];
+  var hLinesBeforeRow = []; // Test for \hline at the top of the array.
+
+  hLinesBeforeRow.push(getHLines(parser));
+
+  while (true) {
+    // eslint-disable-line no-constant-condition
+    // Parse each cell in its own group (namespace)
+    var cell = parser.parseExpression(false, "\\cr");
+    parser.gullet.endGroup();
+    parser.gullet.beginGroup();
+    cell = {
+      type: "ordgroup",
+      mode: parser.mode,
+      body: cell
+    };
+
+    if (style) {
+      cell = {
+        type: "styling",
+        mode: parser.mode,
+        style: style,
+        body: [cell]
+      };
+    }
+
+    row.push(cell);
+    var next = parser.fetch().text;
+
+    if (next === "&") {
+      parser.consume();
+    } else if (next === "\\end") {
+      // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
+      // the last line is empty.
+      // NOTE: Currently, `cell` is the last item added into `row`.
+      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0) {
+        body.pop();
+      }
+
+      if (hLinesBeforeRow.length < body.length + 1) {
+        hLinesBeforeRow.push([]);
+      }
+
+      break;
+    } else if (next === "\\cr") {
+      var cr = assertNodeType(parser.parseFunction(), "cr");
+      rowGaps.push(cr.size); // check for \hline(s) following the row separator
+
+      hLinesBeforeRow.push(getHLines(parser));
+      row = [];
+      body.push(row);
+    } else {
+      throw new src_ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
+    }
+  } // End cell group
+
+
+  parser.gullet.endGroup(); // End array group defining \\
+
+  parser.gullet.endGroup();
+  return {
+    type: "array",
+    mode: parser.mode,
+    addJot: addJot,
+    arraystretch: arraystretch,
+    body: body,
+    cols: cols,
+    rowGaps: rowGaps,
+    hskipBeforeAndAfter: hskipBeforeAndAfter,
+    hLinesBeforeRow: hLinesBeforeRow,
+    colSeparationType: colSeparationType
+  };
+} // Decides on a style for cells in an array according to whether the given
+// environment name starts with the letter 'd'.
+
+
+function dCellStyle(envName) {
+  if (envName.substr(0, 1) === "d") {
+    return "display";
+  } else {
+    return "text";
+  }
+}
+
+var array_htmlBuilder = function htmlBuilder(group, options) {
+  var r;
+  var c;
+  var nr = group.body.length;
+  var hLinesBeforeRow = group.hLinesBeforeRow;
+  var nc = 0;
+  var body = new Array(nr);
+  var hlines = [];
+  var ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em.
+  options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override.
+  ); // Horizontal spacing
+
+  var pt = 1 / options.fontMetrics().ptPerEm;
+  var arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls
+
+  if (group.colSeparationType && group.colSeparationType === "small") {
+    // We're in a {smallmatrix}. Default column space is \thickspace,
+    // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}.
+    // But that needs adjustment because LaTeX applies \scriptstyle to the
+    // entire array, including the colspace, but this function applies
+    // \scriptstyle only inside each element.
+    var localMultiplier = options.havingStyle(src_Style.SCRIPT).sizeMultiplier;
+    arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier);
+  } // Vertical spacing
+
+
+  var baselineskip = 12 * pt; // see size10.clo
+  // Default \jot from ltmath.dtx
+  // TODO(edemaine): allow overriding \jot via \setlength (#687)
+
+  var jot = 3 * pt;
+  var arrayskip = group.arraystretch * baselineskip;
+  var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and
+
+  var arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx
+
+  var totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any.
+
+  function setHLinePos(hlinesInGap) {
+    for (var i = 0; i < hlinesInGap.length; ++i) {
+      if (i > 0) {
+        totalHeight += 0.25;
+      }
+
+      hlines.push({
+        pos: totalHeight,
+        isDashed: hlinesInGap[i]
+      });
+    }
+  }
+
+  setHLinePos(hLinesBeforeRow[0]);
+
+  for (r = 0; r < group.body.length; ++r) {
+    var inrow = group.body[r];
+    var height = arstrutHeight; // \@array adds an \@arstrut
+
+    var depth = arstrutDepth; // to each tow (via the template)
+
+    if (nc < inrow.length) {
+      nc = inrow.length;
+    }
+
+    var outrow = new Array(inrow.length);
+
+    for (c = 0; c < inrow.length; ++c) {
+      var elt = buildHTML_buildGroup(inrow[c], options);
+
+      if (depth < elt.depth) {
+        depth = elt.depth;
+      }
+
+      if (height < elt.height) {
+        height = elt.height;
+      }
+
+      outrow[c] = elt;
+    }
+
+    var rowGap = group.rowGaps[r];
+    var gap = 0;
+
+    if (rowGap) {
+      gap = units_calculateSize(rowGap, options);
+
+      if (gap > 0) {
+        // \@argarraycr
+        gap += arstrutDepth;
+
+        if (depth < gap) {
+          depth = gap; // \@xargarraycr
+        }
+
+        gap = 0;
+      }
+    } // In AMS multiline environments such as aligned and gathered, rows
+    // correspond to lines that have additional \jot added to the
+    // \baselineskip via \openup.
+
+
+    if (group.addJot) {
+      depth += jot;
+    }
+
+    outrow.height = height;
+    outrow.depth = depth;
+    totalHeight += height;
+    outrow.pos = totalHeight;
+    totalHeight += depth + gap; // \@yargarraycr
+
+    body[r] = outrow; // Set a position for \hline(s), if any.
+
+    setHLinePos(hLinesBeforeRow[r + 1]);
+  }
+
+  var offset = totalHeight / 2 + options.fontMetrics().axisHeight;
+  var colDescriptions = group.cols || [];
+  var cols = [];
+  var colSep;
+  var colDescrNum;
+
+  for (c = 0, colDescrNum = 0; // Continue while either there are more columns or more column
+  // descriptions, so trailing separators don't get lost.
+  c < nc || colDescrNum < colDescriptions.length; ++c, ++colDescrNum) {
+    var colDescr = colDescriptions[colDescrNum] || {};
+    var firstSeparator = true;
+
+    while (colDescr.type === "separator") {
+      // If there is more than one separator in a row, add a space
+      // between them.
+      if (!firstSeparator) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = options.fontMetrics().doubleRuleSep + "em";
+        cols.push(colSep);
+      }
+
+      if (colDescr.separator === "|" || colDescr.separator === ":") {
+        var lineType = colDescr.separator === "|" ? "solid" : "dashed";
+        var separator = buildCommon.makeSpan(["vertical-separator"], [], options);
+        separator.style.height = totalHeight + "em";
+        separator.style.borderRightWidth = ruleThickness + "em";
+        separator.style.borderRightStyle = lineType;
+        separator.style.margin = "0 -" + ruleThickness / 2 + "em";
+        separator.style.verticalAlign = -(totalHeight - offset) + "em";
+        cols.push(separator);
+      } else {
+        throw new src_ParseError("Invalid separator type: " + colDescr.separator);
+      }
+
+      colDescrNum++;
+      colDescr = colDescriptions[colDescrNum] || {};
+      firstSeparator = false;
+    }
+
+    if (c >= nc) {
+      continue;
+    }
+
+    var sepwidth = void 0;
+
+    if (c > 0 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.pregap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+
+    var col = [];
+
+    for (r = 0; r < nr; ++r) {
+      var row = body[r];
+      var elem = row[c];
+
+      if (!elem) {
+        continue;
+      }
+
+      var shift = row.pos - offset;
+      elem.depth = row.depth;
+      elem.height = row.height;
+      col.push({
+        type: "elem",
+        elem: elem,
+        shift: shift
+      });
+    }
+
+    col = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: col
+    }, options);
+    col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]);
+    cols.push(col);
+
+    if (c < nc - 1 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.postgap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+  }
+
+  body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any.
+
+  if (hlines.length > 0) {
+    var line = buildCommon.makeLineSpan("hline", options, ruleThickness);
+    var dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness);
+    var vListElems = [{
+      type: "elem",
+      elem: body,
+      shift: 0
+    }];
+
+    while (hlines.length > 0) {
+      var hline = hlines.pop();
+      var lineShift = hline.pos - offset;
+
+      if (hline.isDashed) {
+        vListElems.push({
+          type: "elem",
+          elem: dashes,
+          shift: lineShift
+        });
+      } else {
+        vListElems.push({
+          type: "elem",
+          elem: line,
+          shift: lineShift
+        });
+      }
+    }
+
+    body = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: vListElems
+    }, options);
+  }
+
+  return buildCommon.makeSpan(["mord"], [body], options);
+};
+
+var alignMap = {
+  c: "center ",
+  l: "left ",
+  r: "right "
+};
+
+var array_mathmlBuilder = function mathmlBuilder(group, options) {
+  var table = new mathMLTree.MathNode("mtable", group.body.map(function (row) {
+    return new mathMLTree.MathNode("mtr", row.map(function (cell) {
+      return new mathMLTree.MathNode("mtd", [buildMathML_buildGroup(cell, options)]);
+    }));
+  })); // Set column alignment, row spacing, column spacing, and
+  // array lines by setting attributes on the table element.
+  // Set the row spacing. In MathML, we specify a gap distance.
+  // We do not use rowGap[] because MathML automatically increases
+  // cell height with the height/depth of the element content.
+  // LaTeX \arraystretch multiplies the row baseline-to-baseline distance.
+  // We simulate this by adding (arraystretch - 1)em to the gap. This
+  // does a reasonable job of adjusting arrays containing 1 em tall content.
+  // The 0.16 and 0.09 values are found emprically. They produce an array
+  // similar to LaTeX and in which content does not interfere with \hines.
+
+  var gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
+  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
+  table.setAttribute("rowspacing", gap + "em"); // MathML table lines go only between cells.
+  // To place a line on an edge we'll use <menclose>, if necessary.
+
+  var menclose = "";
+  var align = "";
+
+  if (group.cols && group.cols.length > 0) {
+    // Find column alignment, column spacing, and  vertical lines.
+    var cols = group.cols;
+    var columnLines = "";
+    var prevTypeWasAlign = false;
+    var iStart = 0;
+    var iEnd = cols.length;
+
+    if (cols[0].type === "separator") {
+      menclose += "top ";
+      iStart = 1;
+    }
+
+    if (cols[cols.length - 1].type === "separator") {
+      menclose += "bottom ";
+      iEnd -= 1;
+    }
+
+    for (var i = iStart; i < iEnd; i++) {
+      if (cols[i].type === "align") {
+        align += alignMap[cols[i].align];
+
+        if (prevTypeWasAlign) {
+          columnLines += "none ";
+        }
+
+        prevTypeWasAlign = true;
+      } else if (cols[i].type === "separator") {
+        // MathML accepts only single lines between cells.
+        // So we read only the first of consecutive separators.
+        if (prevTypeWasAlign) {
+          columnLines += cols[i].separator === "|" ? "solid " : "dashed ";
+          prevTypeWasAlign = false;
+        }
+      }
+    }
+
+    table.setAttribute("columnalign", align.trim());
+
+    if (/[sd]/.test(columnLines)) {
+      table.setAttribute("columnlines", columnLines.trim());
+    }
+  } // Set column spacing.
+
+
+  if (group.colSeparationType === "align") {
+    var _cols = group.cols || [];
+
+    var spacing = "";
+
+    for (var _i = 1; _i < _cols.length; _i++) {
+      spacing += _i % 2 ? "0em " : "1em ";
+    }
+
+    table.setAttribute("columnspacing", spacing.trim());
+  } else if (group.colSeparationType === "alignat") {
+    table.setAttribute("columnspacing", "0em");
+  } else if (group.colSeparationType === "small") {
+    table.setAttribute("columnspacing", "0.2778em");
+  } else {
+    table.setAttribute("columnspacing", "1em");
+  } // Address \hline and \hdashline
+
+
+  var rowLines = "";
+  var hlines = group.hLinesBeforeRow;
+  menclose += hlines[0].length > 0 ? "left " : "";
+  menclose += hlines[hlines.length - 1].length > 0 ? "right " : "";
+
+  for (var _i2 = 1; _i2 < hlines.length - 1; _i2++) {
+    rowLines += hlines[_i2].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
+    : hlines[_i2][0] ? "dashed " : "solid ";
+  }
+
+  if (/[sd]/.test(rowLines)) {
+    table.setAttribute("rowlines", rowLines.trim());
+  }
+
+  if (menclose !== "") {
+    table = new mathMLTree.MathNode("menclose", [table]);
+    table.setAttribute("notation", menclose.trim());
+  }
+
+  if (group.arraystretch && group.arraystretch < 1) {
+    // A small array. Wrap in scriptstyle so row gap is not too large.
+    table = new mathMLTree.MathNode("mstyle", [table]);
+    table.setAttribute("scriptlevel", "1");
+  }
+
+  return table;
+}; // Convenience function for aligned and alignedat environments.
+
+
+var array_alignedHandler = function alignedHandler(context, args) {
+  var cols = [];
+  var res = parseArray(context.parser, {
+    cols: cols,
+    addJot: true
+  }, "display"); // Determining number of columns.
+  // 1. If the first argument is given, we use it as a number of columns,
+  //    and makes sure that each row doesn't exceed that number.
+  // 2. Otherwise, just count number of columns = maximum number
+  //    of cells in each row ("aligned" mode -- isAligned will be true).
+  //
+  // At the same time, prepend empty group {} at beginning of every second
+  // cell in each row (starting with second cell) so that operators become
+  // binary.  This behavior is implemented in amsmath's \start@aligned.
+
+  var numMaths;
+  var numCols = 0;
+  var emptyGroup = {
+    type: "ordgroup",
+    mode: context.mode,
+    body: []
+  };
+
+  if (args[0] && args[0].type === "ordgroup") {
+    var arg0 = "";
+
+    for (var i = 0; i < args[0].body.length; i++) {
+      var textord = assertNodeType(args[0].body[i], "textord");
+      arg0 += textord.text;
+    }
+
+    numMaths = Number(arg0);
+    numCols = numMaths * 2;
+  }
+
+  var isAligned = !numCols;
+  res.body.forEach(function (row) {
+    for (var _i3 = 1; _i3 < row.length; _i3 += 2) {
+      // Modify ordgroup node within styling node
+      var styling = assertNodeType(row[_i3], "styling");
+      var ordgroup = assertNodeType(styling.body[0], "ordgroup");
+      ordgroup.body.unshift(emptyGroup);
+    }
+
+    if (!isAligned) {
+      // Case 1
+      var curMaths = row.length / 2;
+
+      if (numMaths < curMaths) {
+        throw new src_ParseError("Too many math in a row: " + ("expected " + numMaths + ", but got " + curMaths), row[0]);
+      }
+    } else if (numCols < row.length) {
+      // Case 2
+      numCols = row.length;
+    }
+  }); // Adjusting alignment.
+  // In aligned mode, we add one \qquad between columns;
+  // otherwise we add nothing.
+
+  for (var _i4 = 0; _i4 < numCols; ++_i4) {
+    var align = "r";
+    var pregap = 0;
+
+    if (_i4 % 2 === 1) {
+      align = "l";
+    } else if (_i4 > 0 && isAligned) {
+      // "aligned" mode.
+      pregap = 1; // add one \quad
+    }
+
+    cols[_i4] = {
+      type: "align",
+      align: align,
+      pregap: pregap,
+      postgap: 0
+    };
+  }
+
+  res.colSeparationType = isAligned ? "align" : "alignat";
+  return res;
+}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation
+// is part of the source2e.pdf file of LaTeX2e source documentation.
+// {darray} is an {array} environment where cells are set in \displaystyle,
+// as defined in nccmath.sty.
+
+
+defineEnvironment({
+  type: "array",
+  names: ["array", "darray"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    // Since no types are specified above, the two possibilities are
+    // - The argument is wrapped in {} or [], in which case Parser's
+    //   parseGroup() returns an "ordgroup" wrapping some symbol node.
+    // - The argument is a bare symbol node.
+    var symNode = checkSymbolNodeType(args[0]);
+    var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    var cols = colalign.map(function (nde) {
+      var node = assertSymbolNodeType(nde);
+      var ca = node.text;
+
+      if ("lcr".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      } else if (ca === "|") {
+        return {
+          type: "separator",
+          separator: "|"
+        };
+      } else if (ca === ":") {
+        return {
+          type: "separator",
+          separator: ":"
+        };
+      }
+
+      throw new src_ParseError("Unknown column alignment: " + ca, nde);
+    });
+    var res = {
+      cols: cols,
+      hskipBeforeAndAfter: true // \@preamble in lttab.dtx
+
+    };
+    return parseArray(context.parser, res, dCellStyle(context.envName));
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // The matrix environments of amsmath builds on the array environment
+// of LaTeX, which is discussed above.
+
+defineEnvironment({
+  type: "array",
+  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var delimiters = {
+      "matrix": null,
+      "pmatrix": ["(", ")"],
+      "bmatrix": ["[", "]"],
+      "Bmatrix": ["\\{", "\\}"],
+      "vmatrix": ["|", "|"],
+      "Vmatrix": ["\\Vert", "\\Vert"]
+    }[context.envName]; // \hskip -\arraycolsep in amsmath
+
+    var payload = {
+      hskipBeforeAndAfter: false
+    };
+    var res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return delimiters ? {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: delimiters[0],
+      right: delimiters[1],
+      rightColor: undefined // \right uninfluenced by \color in array
+
+    } : res;
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+});
+defineEnvironment({
+  type: "array",
+  names: ["smallmatrix"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var payload = {
+      arraystretch: 0.5
+    };
+    var res = parseArray(context.parser, payload, "script");
+    res.colSeparationType = "small";
+    return res;
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+});
+defineEnvironment({
+  type: "array",
+  names: ["subarray"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(context, args) {
+    // Parsing of {subarray} is similar to {array}
+    var symNode = checkSymbolNodeType(args[0]);
+    var colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    var cols = colalign.map(function (nde) {
+      var node = assertSymbolNodeType(nde);
+      var ca = node.text; // {subarray} only recognizes "l" & "c"
+
+      if ("lc".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      }
+
+      throw new src_ParseError("Unknown column alignment: " + ca, nde);
+    });
+
+    if (cols.length > 1) {
+      throw new src_ParseError("{subarray} can contain only one column");
+    }
+
+    var res = {
+      cols: cols,
+      hskipBeforeAndAfter: false,
+      arraystretch: 0.5
+    };
+    res = parseArray(context.parser, res, "script");
+
+    if (res.body.length > 0 && res.body[0].length > 1) {
+      throw new src_ParseError("{subarray} can contain only one column");
+    }
+
+    return res;
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // A cases environment (in amsmath.sty) is almost equivalent to
+// \def\arraystretch{1.2}%
+// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
+// {dcases} is a {cases} environment where cells are set in \displaystyle,
+// as defined in mathtools.sty.
+// {rcases} is another mathtools environment. It's brace is on the right side.
+
+defineEnvironment({
+  type: "array",
+  names: ["cases", "dcases", "rcases", "drcases"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var payload = {
+      arraystretch: 1.2,
+      cols: [{
+        type: "align",
+        align: "l",
+        pregap: 0,
+        // TODO(kevinb) get the current style.
+        // For now we use the metrics for TEXT style which is what we were
+        // doing before.  Before attempting to get the current style we
+        // should look at TeX's behavior especially for \over and matrices.
+        postgap: 1.0
+        /* 1em quad */
+
+      }, {
+        type: "align",
+        align: "l",
+        pregap: 0,
+        postgap: 0
+      }]
+    };
+    var res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: context.envName.indexOf("r") > -1 ? "." : "\\{",
+      right: context.envName.indexOf("r") > -1 ? "\\}" : ".",
+      rightColor: undefined
+    };
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // An aligned environment is like the align* environment
+// except it operates within math mode.
+// Note that we assume \nomallineskiplimit to be zero,
+// so that \strut@ is the same as \strut.
+
+defineEnvironment({
+  type: "array",
+  names: ["aligned"],
+  props: {
+    numArgs: 0
+  },
+  handler: array_alignedHandler,
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // A gathered environment is like an array environment with one centered
+// column, but where rows are considered lines so get \jot line spacing
+// and contents are set in \displaystyle.
+
+defineEnvironment({
+  type: "array",
+  names: ["gathered"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(context) {
+    var res = {
+      cols: [{
+        type: "align",
+        align: "c"
+      }],
+      addJot: true
+    };
+    return parseArray(context.parser, res, "display");
+  },
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // alignat environment is like an align environment, but one must explicitly
+// specify maximum number of columns in each row, and can adjust spacing between
+// each columns.
+
+defineEnvironment({
+  type: "array",
+  names: ["alignedat"],
+  // One for numbered and for unnumbered;
+  // but, KaTeX doesn't supports math numbering yet,
+  // they make no difference for now.
+  props: {
+    numArgs: 1
+  },
+  handler: array_alignedHandler,
+  htmlBuilder: array_htmlBuilder,
+  mathmlBuilder: array_mathmlBuilder
+}); // Catch \hline outside array environment
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\hline", "\\hdashline"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: true
+  },
+  handler: function handler(context, args) {
+    throw new src_ParseError(context.funcName + " valid only within array environment");
+  }
+});
+// CONCATENATED MODULE: ./src/environments.js
+
+var environments = _environments;
+/* harmony default export */ var src_environments = (environments); // All environment definitions should be imported below
+
+
+// CONCATENATED MODULE: ./src/functions/environment.js
+
+
+
+ // Environment delimiters. HTML/MathML rendering is defined in the corresponding
+// defineEnvironment definitions.
+// $FlowFixMe, "environment" handler returns an environment ParseNode
+
+defineFunction({
+  type: "environment",
+  names: ["\\begin", "\\end"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"]
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var nameGroup = args[0];
+
+    if (nameGroup.type !== "ordgroup") {
+      throw new src_ParseError("Invalid environment name", nameGroup);
+    }
+
+    var envName = "";
+
+    for (var i = 0; i < nameGroup.body.length; ++i) {
+      envName += assertNodeType(nameGroup.body[i], "textord").text;
+    }
+
+    if (funcName === "\\begin") {
+      // begin...end is similar to left...right
+      if (!src_environments.hasOwnProperty(envName)) {
+        throw new src_ParseError("No such environment: " + envName, nameGroup);
+      } // Build the environment object. Arguments and other information will
+      // be made available to the begin and end methods using properties.
+
+
+      var env = src_environments[envName];
+
+      var _parser$parseArgument = parser.parseArguments("\\begin{" + envName + "}", env),
+          _args = _parser$parseArgument.args,
+          optArgs = _parser$parseArgument.optArgs;
+
+      var context = {
+        mode: parser.mode,
+        envName: envName,
+        parser: parser
+      };
+      var result = env.handler(context, _args, optArgs);
+      parser.expect("\\end", false);
+      var endNameToken = parser.nextToken;
+      var end = assertNodeType(parser.parseFunction(), "environment");
+
+      if (end.name !== envName) {
+        throw new src_ParseError("Mismatch: \\begin{" + envName + "} matched by \\end{" + end.name + "}", endNameToken);
+      }
+
+      return result;
+    }
+
+    return {
+      type: "environment",
+      mode: parser.mode,
+      name: envName,
+      nameGroup: nameGroup
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/functions/mclass.js
+
+
+
+
+
+
+var mclass_makeSpan = buildCommon.makeSpan;
+
+function mclass_htmlBuilder(group, options) {
+  var elements = buildHTML_buildExpression(group.body, options, true);
+  return mclass_makeSpan([group.mclass], elements, options);
+}
+
+function mclass_mathmlBuilder(group, options) {
+  var node;
+  var inner = buildMathML_buildExpression(group.body, options);
+
+  if (group.mclass === "minner") {
+    return mathMLTree.newDocumentFragment(inner);
+  } else if (group.mclass === "mord") {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mi";
+    } else {
+      node = new mathMLTree.MathNode("mi", inner);
+    }
+  } else {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mo";
+    } else {
+      node = new mathMLTree.MathNode("mo", inner);
+    } // Set spacing based on what is the most likely adjacent atom type.
+    // See TeXbook p170.
+
+
+    if (group.mclass === "mbin") {
+      node.attributes.lspace = "0.22em"; // medium space
+
+      node.attributes.rspace = "0.22em";
+    } else if (group.mclass === "mpunct") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0.17em"; // thinspace
+    } else if (group.mclass === "mopen" || group.mclass === "mclose") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0em";
+    } // MathML <mo> default space is 5/18 em, so <mrel> needs no action.
+    // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo
+
+  }
+
+  return node;
+} // Math class commands except \mathop
+
+
+defineFunction({
+  type: "mclass",
+  names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: "m" + funcName.substr(5),
+      // TODO(kevinb): don't prefix with 'm'
+      body: ordargument(body),
+      isCharacterBox: utils.isCharacterBox(body)
+    };
+  },
+  htmlBuilder: mclass_htmlBuilder,
+  mathmlBuilder: mclass_mathmlBuilder
+});
+var binrelClass = function binrelClass(arg) {
+  // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument.
+  // (by rendering separately and with {}s before and after, and measuring
+  // the change in spacing).  We'll do roughly the same by detecting the
+  // atom type directly.
+  var atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg;
+
+  if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) {
+    return "m" + atom.family;
+  } else {
+    return "mord";
+  }
+}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord.
+// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX.
+
+defineFunction({
+  type: "mclass",
+  names: ["\\@binrel"],
+  props: {
+    numArgs: 2
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(args[0]),
+      body: [args[1]],
+      isCharacterBox: utils.isCharacterBox(args[1])
+    };
+  }
+}); // Build a relation or stacked op by placing one symbol on top of another
+
+defineFunction({
+  type: "mclass",
+  names: ["\\stackrel", "\\overset", "\\underset"],
+  props: {
+    numArgs: 2
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    var baseArg = args[1];
+    var shiftedArg = args[0];
+    var mclass;
+
+    if (funcName !== "\\stackrel") {
+      // LaTeX applies \binrel spacing to \overset and \underset.
+      mclass = binrelClass(baseArg);
+    } else {
+      mclass = "mrel"; // for \stackrel
+    }
+
+    var baseOp = {
+      type: "op",
+      mode: baseArg.mode,
+      limits: true,
+      alwaysHandleSupSub: true,
+      parentIsSupSub: false,
+      symbol: false,
+      suppressBaseShift: funcName !== "\\stackrel",
+      body: ordargument(baseArg)
+    };
+    var supsub = {
+      type: "supsub",
+      mode: shiftedArg.mode,
+      base: baseOp,
+      sup: funcName === "\\underset" ? null : shiftedArg,
+      sub: funcName === "\\underset" ? shiftedArg : null
+    };
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: mclass,
+      body: [supsub],
+      isCharacterBox: utils.isCharacterBox(supsub)
+    };
+  },
+  htmlBuilder: mclass_htmlBuilder,
+  mathmlBuilder: mclass_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/font.js
+// TODO(kevinb): implement \\sl and \\sc
+
+
+
+
+
+
+var font_htmlBuilder = function htmlBuilder(group, options) {
+  var font = group.font;
+  var newOptions = options.withFont(font);
+  return buildHTML_buildGroup(group.body, newOptions);
+};
+
+var font_mathmlBuilder = function mathmlBuilder(group, options) {
+  var font = group.font;
+  var newOptions = options.withFont(font);
+  return buildMathML_buildGroup(group.body, newOptions);
+};
+
+var fontAliases = {
+  "\\Bbb": "\\mathbb",
+  "\\bold": "\\mathbf",
+  "\\frak": "\\mathfrak",
+  "\\bm": "\\boldsymbol"
+};
+defineFunction({
+  type: "font",
+  names: [// styles, except \boldsymbol defined below
+  "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families
+  "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below
+  "\\Bbb", "\\bold", "\\frak"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    var func = funcName;
+
+    if (func in fontAliases) {
+      func = fontAliases[func];
+    }
+
+    return {
+      type: "font",
+      mode: parser.mode,
+      font: func.slice(1),
+      body: body
+    };
+  },
+  htmlBuilder: font_htmlBuilder,
+  mathmlBuilder: font_mathmlBuilder
+});
+defineFunction({
+  type: "mclass",
+  names: ["\\boldsymbol", "\\bm"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var body = args[0];
+    var isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the
+    // argument's bin|rel|ord status
+
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(body),
+      body: [{
+        type: "font",
+        mode: parser.mode,
+        font: "boldsymbol",
+        body: body
+      }],
+      isCharacterBox: isCharacterBox
+    };
+  }
+}); // Old font changing functions
+
+defineFunction({
+  type: "font",
+  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName,
+        breakOnTokenText = _ref3.breakOnTokenText;
+    var mode = parser.mode;
+    var body = parser.parseExpression(true, breakOnTokenText);
+    var style = "math" + funcName.slice(1);
+    return {
+      type: "font",
+      mode: mode,
+      font: style,
+      body: {
+        type: "ordgroup",
+        mode: parser.mode,
+        body: body
+      }
+    };
+  },
+  htmlBuilder: font_htmlBuilder,
+  mathmlBuilder: font_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/genfrac.js
+
+
+
+
+
+
+
+
+
+
+
+var genfrac_adjustStyle = function adjustStyle(size, originalStyle) {
+  // Figure out what style this fraction should be in based on the
+  // function used
+  var style = originalStyle;
+
+  if (size === "display") {
+    // Get display style as a default.
+    // If incoming style is sub/sup, use style.text() to get correct size.
+    style = style.id >= src_Style.SCRIPT.id ? style.text() : src_Style.DISPLAY;
+  } else if (size === "text" && style.size === src_Style.DISPLAY.size) {
+    // We're in a \tfrac but incoming style is displaystyle, so:
+    style = src_Style.TEXT;
+  } else if (size === "script") {
+    style = src_Style.SCRIPT;
+  } else if (size === "scriptscript") {
+    style = src_Style.SCRIPTSCRIPT;
+  }
+
+  return style;
+};
+
+var genfrac_htmlBuilder = function htmlBuilder(group, options) {
+  // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
+  var style = genfrac_adjustStyle(group.size, options.style);
+  var nstyle = style.fracNum();
+  var dstyle = style.fracDen();
+  var newOptions;
+  newOptions = options.havingStyle(nstyle);
+  var numerm = buildHTML_buildGroup(group.numer, newOptions, options);
+
+  if (group.continued) {
+    // \cfrac inserts a \strut into the numerator.
+    // Get \strut dimensions from TeXbook page 353.
+    var hStrut = 8.5 / options.fontMetrics().ptPerEm;
+    var dStrut = 3.5 / options.fontMetrics().ptPerEm;
+    numerm.height = numerm.height < hStrut ? hStrut : numerm.height;
+    numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth;
+  }
+
+  newOptions = options.havingStyle(dstyle);
+  var denomm = buildHTML_buildGroup(group.denom, newOptions, options);
+  var rule;
+  var ruleWidth;
+  var ruleSpacing;
+
+  if (group.hasBarLine) {
+    if (group.barSize) {
+      ruleWidth = units_calculateSize(group.barSize, options);
+      rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth);
+    } else {
+      rule = buildCommon.makeLineSpan("frac-line", options);
+    }
+
+    ruleWidth = rule.height;
+    ruleSpacing = rule.height;
+  } else {
+    rule = null;
+    ruleWidth = 0;
+    ruleSpacing = options.fontMetrics().defaultRuleThickness;
+  } // Rule 15b
+
+
+  var numShift;
+  var clearance;
+  var denomShift;
+
+  if (style.size === src_Style.DISPLAY.size || group.size === "display") {
+    numShift = options.fontMetrics().num1;
+
+    if (ruleWidth > 0) {
+      clearance = 3 * ruleSpacing;
+    } else {
+      clearance = 7 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom1;
+  } else {
+    if (ruleWidth > 0) {
+      numShift = options.fontMetrics().num2;
+      clearance = ruleSpacing;
+    } else {
+      numShift = options.fontMetrics().num3;
+      clearance = 3 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom2;
+  }
+
+  var frac;
+
+  if (!rule) {
+    // Rule 15c
+    var candidateClearance = numShift - numerm.depth - (denomm.height - denomShift);
+
+    if (candidateClearance < clearance) {
+      numShift += 0.5 * (clearance - candidateClearance);
+      denomShift += 0.5 * (clearance - candidateClearance);
+    }
+
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } else {
+    // Rule 15d
+    var axisHeight = options.fontMetrics().axisHeight;
+
+    if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) {
+      numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth));
+    }
+
+    if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) {
+      denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift));
+    }
+
+    var midShift = -(axisHeight - 0.5 * ruleWidth);
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: rule,
+        shift: midShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } // Since we manually change the style sometimes (with \dfrac or \tfrac),
+  // account for the possible size change here.
+
+
+  newOptions = options.havingStyle(style);
+  frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier;
+  frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e
+
+  var delimSize;
+
+  if (style.size === src_Style.DISPLAY.size) {
+    delimSize = options.fontMetrics().delim1;
+  } else {
+    delimSize = options.fontMetrics().delim2;
+  }
+
+  var leftDelim;
+  var rightDelim;
+
+  if (group.leftDelim == null) {
+    leftDelim = makeNullDelimiter(options, ["mopen"]);
+  } else {
+    leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]);
+  }
+
+  if (group.continued) {
+    rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac
+  } else if (group.rightDelim == null) {
+    rightDelim = makeNullDelimiter(options, ["mclose"]);
+  } else {
+    rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]);
+  }
+
+  return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options);
+};
+
+var genfrac_mathmlBuilder = function mathmlBuilder(group, options) {
+  var node = new mathMLTree.MathNode("mfrac", [buildMathML_buildGroup(group.numer, options), buildMathML_buildGroup(group.denom, options)]);
+
+  if (!group.hasBarLine) {
+    node.setAttribute("linethickness", "0px");
+  } else if (group.barSize) {
+    var ruleWidth = units_calculateSize(group.barSize, options);
+    node.setAttribute("linethickness", ruleWidth + "em");
+  }
+
+  var style = genfrac_adjustStyle(group.size, options.style);
+
+  if (style.size !== options.style.size) {
+    node = new mathMLTree.MathNode("mstyle", [node]);
+    var isDisplay = style.size === src_Style.DISPLAY.size ? "true" : "false";
+    node.setAttribute("displaystyle", isDisplay);
+    node.setAttribute("scriptlevel", "0");
+  }
+
+  if (group.leftDelim != null || group.rightDelim != null) {
+    var withDelims = [];
+
+    if (group.leftDelim != null) {
+      var leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]);
+      leftOp.setAttribute("fence", "true");
+      withDelims.push(leftOp);
+    }
+
+    withDelims.push(node);
+
+    if (group.rightDelim != null) {
+      var rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]);
+      rightOp.setAttribute("fence", "true");
+      withDelims.push(rightOp);
+    }
+
+    return buildMathML_makeRow(withDelims);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\cfrac", "\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
+  "\\\\bracefrac", "\\\\brackfrac"],
+  props: {
+    numArgs: 2,
+    greediness: 2
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var numer = args[0];
+    var denom = args[1];
+    var hasBarLine;
+    var leftDelim = null;
+    var rightDelim = null;
+    var size = "auto";
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\frac":
+      case "\\tfrac":
+        hasBarLine = true;
+        break;
+
+      case "\\\\atopfrac":
+        hasBarLine = false;
+        break;
+
+      case "\\dbinom":
+      case "\\binom":
+      case "\\tbinom":
+        hasBarLine = false;
+        leftDelim = "(";
+        rightDelim = ")";
+        break;
+
+      case "\\\\bracefrac":
+        hasBarLine = false;
+        leftDelim = "\\{";
+        rightDelim = "\\}";
+        break;
+
+      case "\\\\brackfrac":
+        hasBarLine = false;
+        leftDelim = "[";
+        rightDelim = "]";
+        break;
+
+      default:
+        throw new Error("Unrecognized genfrac command");
+    }
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\dbinom":
+        size = "display";
+        break;
+
+      case "\\tfrac":
+      case "\\tbinom":
+        size = "text";
+        break;
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      continued: funcName === "\\cfrac",
+      numer: numer,
+      denom: denom,
+      hasBarLine: hasBarLine,
+      leftDelim: leftDelim,
+      rightDelim: rightDelim,
+      size: size,
+      barSize: null
+    };
+  },
+  htmlBuilder: genfrac_htmlBuilder,
+  mathmlBuilder: genfrac_mathmlBuilder
+}); // Infix generalized fractions -- these are not rendered directly, but replaced
+// immediately by one of the variants above.
+
+defineFunction({
+  type: "infix",
+  names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"],
+  props: {
+    numArgs: 0,
+    infix: true
+  },
+  handler: function handler(_ref2) {
+    var parser = _ref2.parser,
+        funcName = _ref2.funcName,
+        token = _ref2.token;
+    var replaceWith;
+
+    switch (funcName) {
+      case "\\over":
+        replaceWith = "\\frac";
+        break;
+
+      case "\\choose":
+        replaceWith = "\\binom";
+        break;
+
+      case "\\atop":
+        replaceWith = "\\\\atopfrac";
+        break;
+
+      case "\\brace":
+        replaceWith = "\\\\bracefrac";
+        break;
+
+      case "\\brack":
+        replaceWith = "\\\\brackfrac";
+        break;
+
+      default:
+        throw new Error("Unrecognized infix genfrac command");
+    }
+
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith: replaceWith,
+      token: token
+    };
+  }
+});
+var stylArray = ["display", "text", "script", "scriptscript"];
+
+var delimFromValue = function delimFromValue(delimString) {
+  var delim = null;
+
+  if (delimString.length > 0) {
+    delim = delimString;
+    delim = delim === "." ? null : delim;
+  }
+
+  return delim;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\genfrac"],
+  props: {
+    numArgs: 6,
+    greediness: 6,
+    argTypes: ["math", "math", "size", "text", "math", "math"]
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser;
+    var numer = args[4];
+    var denom = args[5]; // Look into the parse nodes to get the desired delimiters.
+
+    var leftDelim = args[0].type === "atom" && args[0].family === "open" ? delimFromValue(args[0].text) : null;
+    var rightDelim = args[1].type === "atom" && args[1].family === "close" ? delimFromValue(args[1].text) : null;
+    var barNode = assertNodeType(args[2], "size");
+    var hasBarLine;
+    var barSize = null;
+
+    if (barNode.isBlank) {
+      // \genfrac acts differently than \above.
+      // \genfrac treats an empty size group as a signal to use a
+      // standard bar size. \above would see size = 0 and omit the bar.
+      hasBarLine = true;
+    } else {
+      barSize = barNode.value;
+      hasBarLine = barSize.number > 0;
+    } // Find out if we want displaystyle, textstyle, etc.
+
+
+    var size = "auto";
+    var styl = args[3];
+
+    if (styl.type === "ordgroup") {
+      if (styl.body.length > 0) {
+        var textOrd = assertNodeType(styl.body[0], "textord");
+        size = stylArray[Number(textOrd.text)];
+      }
+    } else {
+      styl = assertNodeType(styl, "textord");
+      size = stylArray[Number(styl.text)];
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer: numer,
+      denom: denom,
+      continued: false,
+      hasBarLine: hasBarLine,
+      barSize: barSize,
+      leftDelim: leftDelim,
+      rightDelim: rightDelim,
+      size: size
+    };
+  },
+  htmlBuilder: genfrac_htmlBuilder,
+  mathmlBuilder: genfrac_mathmlBuilder
+}); // \above is an infix fraction that also defines a fraction bar size.
+
+defineFunction({
+  type: "infix",
+  names: ["\\above"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    infix: true
+  },
+  handler: function handler(_ref4, args) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName,
+        token = _ref4.token;
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith: "\\\\abovefrac",
+      size: assertNodeType(args[0], "size").value,
+      token: token
+    };
+  }
+});
+defineFunction({
+  type: "genfrac",
+  names: ["\\\\abovefrac"],
+  props: {
+    numArgs: 3,
+    argTypes: ["math", "size", "math"]
+  },
+  handler: function handler(_ref5, args) {
+    var parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    var numer = args[0];
+    var barSize = assert(assertNodeType(args[1], "infix").size);
+    var denom = args[2];
+    var hasBarLine = barSize.number > 0;
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer: numer,
+      denom: denom,
+      continued: false,
+      hasBarLine: hasBarLine,
+      barSize: barSize,
+      leftDelim: null,
+      rightDelim: null,
+      size: "auto"
+    };
+  },
+  htmlBuilder: genfrac_htmlBuilder,
+  mathmlBuilder: genfrac_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/horizBrace.js
+
+
+
+
+
+
+
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but
+var horizBrace_htmlBuilder = function htmlBuilder(grp, options) {
+  var style = options.style; // Pull out the `ParseNode<"horizBrace">` if `grp` is a "supsub" node.
+
+  var supSubGroup;
+  var group;
+
+  if (grp.type === "supsub") {
+    // Ref: LaTeX source2e: }}}}\limits}
+    // i.e. LaTeX treats the brace similar to an op and passes it
+    // with \limits, so we need to assign supsub style.
+    supSubGroup = grp.sup ? buildHTML_buildGroup(grp.sup, options.havingStyle(style.sup()), options) : buildHTML_buildGroup(grp.sub, options.havingStyle(style.sub()), options);
+    group = assertNodeType(grp.base, "horizBrace");
+  } else {
+    group = assertNodeType(grp, "horizBrace");
+  } // Build the base group
+
+
+  var body = buildHTML_buildGroup(group.base, options.havingBaseStyle(src_Style.DISPLAY)); // Create the stretchy element
+
+  var braceBody = stretchy.svgSpan(group, options); // Generate the vlist, with the appropriate kerns        ┏━━━━━━━━┓
+  // This first vlist contains the content and the brace:   equation
+
+  var vlist;
+
+  if (group.isOver) {
+    vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: braceBody
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: body.depth + 0.1 + braceBody.height,
+      children: [{
+        type: "elem",
+        elem: braceBody
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: body
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[0].classes.push("svg-align");
+  }
+
+  if (supSubGroup) {
+    // To write the supsub, wrap the first vlist in another vlist:
+    // They can't all go in the same vlist, because the note might be
+    // wider than the equation. We want the equation to control the
+    // brace width.
+    //      note          long note           long note
+    //   ┏━━━━━━━━┓   or    ┏━━━┓     not    ┏━━━━━━━━━┓
+    //    equation           eqn                 eqn
+    var vSpan = buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+
+    if (group.isOver) {
+      vlist = buildCommon.makeVList({
+        positionType: "firstBaseline",
+        children: [{
+          type: "elem",
+          elem: vSpan
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: supSubGroup
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "bottom",
+        positionData: vSpan.depth + 0.2 + supSubGroup.height + supSubGroup.depth,
+        children: [{
+          type: "elem",
+          elem: supSubGroup
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: vSpan
+        }]
+      }, options);
+    }
+  }
+
+  return buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+};
+
+var horizBrace_mathmlBuilder = function mathmlBuilder(group, options) {
+  var accentNode = stretchy.mathMLnode(group.label);
+  return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildMathML_buildGroup(group.base, options), accentNode]);
+}; // Horizontal stretchy braces
+
+
+defineFunction({
+  type: "horizBrace",
+  names: ["\\overbrace", "\\underbrace"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "horizBrace",
+      mode: parser.mode,
+      label: funcName,
+      isOver: /^\\over/.test(funcName),
+      base: args[0]
+    };
+  },
+  htmlBuilder: horizBrace_htmlBuilder,
+  mathmlBuilder: horizBrace_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/href.js
+
+
+
+
+
+
+defineFunction({
+  type: "href",
+  names: ["\\href"],
+  props: {
+    numArgs: 2,
+    argTypes: ["url", "original"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var body = args[1];
+    var href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\href",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\href");
+    }
+
+    return {
+      type: "href",
+      mode: parser.mode,
+      href: href,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.body, options, false);
+    return buildCommon.makeAnchor(group.href, [], elements, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var math = buildExpressionRow(group.body, options);
+
+    if (!(math instanceof mathMLTree_MathNode)) {
+      math = new mathMLTree_MathNode("mrow", [math]);
+    }
+
+    math.setAttribute("href", group.href);
+    return math;
+  }
+});
+defineFunction({
+  type: "href",
+  names: ["\\url"],
+  props: {
+    numArgs: 1,
+    argTypes: ["url"],
+    allowedInText: true
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\url",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\url");
+    }
+
+    var chars = [];
+
+    for (var i = 0; i < href.length; i++) {
+      var c = href[i];
+
+      if (c === "~") {
+        c = "\\textasciitilde";
+      }
+
+      chars.push({
+        type: "textord",
+        mode: "text",
+        text: c
+      });
+    }
+
+    var body = {
+      type: "text",
+      mode: parser.mode,
+      font: "\\texttt",
+      body: chars
+    };
+    return {
+      type: "href",
+      mode: parser.mode,
+      href: href,
+      body: ordargument(body)
+    };
+  }
+});
+// CONCATENATED MODULE: ./src/functions/html.js
+
+
+
+
+
+
+defineFunction({
+  type: "html",
+  names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"],
+  props: {
+    numArgs: 2,
+    argTypes: ["raw", "original"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName,
+        token = _ref.token;
+    var value = assertNodeType(args[0], "raw").string;
+    var body = args[1];
+
+    if (parser.settings.strict) {
+      parser.settings.reportNonstrict("htmlExtension", "HTML extension is disabled on strict mode");
+    }
+
+    var trustContext;
+    var attributes = {};
+
+    switch (funcName) {
+      case "\\htmlClass":
+        attributes.class = value;
+        trustContext = {
+          command: "\\htmlClass",
+          class: value
+        };
+        break;
+
+      case "\\htmlId":
+        attributes.id = value;
+        trustContext = {
+          command: "\\htmlId",
+          id: value
+        };
+        break;
+
+      case "\\htmlStyle":
+        attributes.style = value;
+        trustContext = {
+          command: "\\htmlStyle",
+          style: value
+        };
+        break;
+
+      case "\\htmlData":
+        {
+          var data = value.split(",");
+
+          for (var i = 0; i < data.length; i++) {
+            var keyVal = data[i].split("=");
+
+            if (keyVal.length !== 2) {
+              throw new src_ParseError("Error parsing key-value for \\htmlData");
+            }
+
+            attributes["data-" + keyVal[0].trim()] = keyVal[1].trim();
+          }
+
+          trustContext = {
+            command: "\\htmlData",
+            attributes: attributes
+          };
+          break;
+        }
+
+      default:
+        throw new Error("Unrecognized html command");
+    }
+
+    if (!parser.settings.isTrusted(trustContext)) {
+      return parser.formatUnsupportedCmd(funcName);
+    }
+
+    return {
+      type: "html",
+      mode: parser.mode,
+      attributes: attributes,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.body, options, false);
+    var classes = ["enclosing"];
+
+    if (group.attributes.class) {
+      classes.push.apply(classes, group.attributes.class.trim().split(/\s+/));
+    }
+
+    var span = buildCommon.makeSpan(classes, elements, options);
+
+    for (var attr in group.attributes) {
+      if (attr !== "class" && group.attributes.hasOwnProperty(attr)) {
+        span.setAttribute(attr, group.attributes[attr]);
+      }
+    }
+
+    return span;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    return buildExpressionRow(group.body, options);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/htmlmathml.js
+
+
+
+
+defineFunction({
+  type: "htmlmathml",
+  names: ["\\html@mathml"],
+  props: {
+    numArgs: 2,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    return {
+      type: "htmlmathml",
+      mode: parser.mode,
+      html: ordargument(args[0]),
+      mathml: ordargument(args[1])
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.html, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    return buildExpressionRow(group.mathml, options);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/includegraphics.js
+
+
+
+
+
+
+
+var includegraphics_sizeData = function sizeData(str) {
+  if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(str)) {
+    // str is a number with no unit specified.
+    // default unit is bp, per graphix package.
+    return {
+      number: +str,
+      unit: "bp"
+    };
+  } else {
+    var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(str);
+
+    if (!match) {
+      throw new src_ParseError("Invalid size: '" + str + "' in \\includegraphics");
+    }
+
+    var data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new src_ParseError("Invalid unit: '" + data.unit + "' in \\includegraphics.");
+    }
+
+    return data;
+  }
+};
+
+defineFunction({
+  type: "includegraphics",
+  names: ["\\includegraphics"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    argTypes: ["raw", "url"],
+    allowedInText: false
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var width = {
+      number: 0,
+      unit: "em"
+    };
+    var height = {
+      number: 0.9,
+      unit: "em"
+    }; // sorta character sized.
+
+    var totalheight = {
+      number: 0,
+      unit: "em"
+    };
+    var alt = "";
+
+    if (optArgs[0]) {
+      var attributeStr = assertNodeType(optArgs[0], "raw").string; // Parser.js does not parse key/value pairs. We get a string.
+
+      var attributes = attributeStr.split(",");
+
+      for (var i = 0; i < attributes.length; i++) {
+        var keyVal = attributes[i].split("=");
+
+        if (keyVal.length === 2) {
+          var str = keyVal[1].trim();
+
+          switch (keyVal[0].trim()) {
+            case "alt":
+              alt = str;
+              break;
+
+            case "width":
+              width = includegraphics_sizeData(str);
+              break;
+
+            case "height":
+              height = includegraphics_sizeData(str);
+              break;
+
+            case "totalheight":
+              totalheight = includegraphics_sizeData(str);
+              break;
+
+            default:
+              throw new src_ParseError("Invalid key: '" + keyVal[0] + "' in \\includegraphics.");
+          }
+        }
+      }
+    }
+
+    var src = assertNodeType(args[0], "url").url;
+
+    if (alt === "") {
+      // No alt given. Use the file name. Strip away the path.
+      alt = src;
+      alt = alt.replace(/^.*[\\/]/, '');
+      alt = alt.substring(0, alt.lastIndexOf('.'));
+    }
+
+    if (!parser.settings.isTrusted({
+      command: "\\includegraphics",
+      url: src
+    })) {
+      return parser.formatUnsupportedCmd("\\includegraphics");
+    }
+
+    return {
+      type: "includegraphics",
+      mode: parser.mode,
+      alt: alt,
+      width: width,
+      height: height,
+      totalheight: totalheight,
+      src: src
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var height = units_calculateSize(group.height, options);
+    var depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = units_calculateSize(group.totalheight, options) - height;
+      depth = Number(depth.toFixed(2));
+    }
+
+    var width = 0;
+
+    if (group.width.number > 0) {
+      width = units_calculateSize(group.width, options);
+    }
+
+    var style = {
+      height: height + depth + "em"
+    };
+
+    if (width > 0) {
+      style.width = width + "em";
+    }
+
+    if (depth > 0) {
+      style.verticalAlign = -depth + "em";
+    }
+
+    var node = new domTree_Img(group.src, group.alt, style);
+    node.height = height;
+    node.depth = depth;
+    return node;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mglyph", []);
+    node.setAttribute("alt", group.alt);
+    var height = units_calculateSize(group.height, options);
+    var depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = units_calculateSize(group.totalheight, options) - height;
+      depth = depth.toFixed(2);
+      node.setAttribute("valign", "-" + depth + "em");
+    }
+
+    node.setAttribute("height", height + depth + "em");
+
+    if (group.width.number > 0) {
+      var width = units_calculateSize(group.width, options);
+      node.setAttribute("width", width + "em");
+    }
+
+    node.setAttribute("src", group.src);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/kern.js
+// Horizontal spacing commands
+
+
+
+
+ // TODO: \hskip and \mskip should support plus and minus in lengths
+
+defineFunction({
+  type: "kern",
+  names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var size = assertNodeType(args[0], "size");
+
+    if (parser.settings.strict) {
+      var mathFunction = funcName[1] === 'm'; // \mkern, \mskip
+
+      var muUnit = size.value.unit === 'mu';
+
+      if (mathFunction) {
+        if (!muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " supports only mu units, " + ("not " + size.value.unit + " units"));
+        }
+
+        if (parser.mode !== "math") {
+          parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " works only in math mode");
+        }
+      } else {
+        // !mathFunction
+        if (muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + funcName + " doesn't support mu units");
+        }
+      }
+    }
+
+    return {
+      type: "kern",
+      mode: parser.mode,
+      dimension: size.value
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.makeGlue(group.dimension, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var dimension = units_calculateSize(group.dimension, options);
+    return new mathMLTree.SpaceNode(dimension);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/lap.js
+// Horizontal overlap functions
+
+
+
+
+
+defineFunction({
+  type: "lap",
+  names: ["\\mathllap", "\\mathrlap", "\\mathclap"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "lap",
+      mode: parser.mode,
+      alignment: funcName.slice(5),
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // mathllap, mathrlap, mathclap
+    var inner;
+
+    if (group.alignment === "clap") {
+      // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/
+      inner = buildCommon.makeSpan([], [buildHTML_buildGroup(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span
+
+      inner = buildCommon.makeSpan(["inner"], [inner], options);
+    } else {
+      inner = buildCommon.makeSpan(["inner"], [buildHTML_buildGroup(group.body, options)]);
+    }
+
+    var fix = buildCommon.makeSpan(["fix"], []);
+    var node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the
+    // two items involved in the lap.
+    // Next, use a strut to set the height of the HTML bounding box.
+    // Otherwise, a tall argument may be misplaced.
+    // This code resolved issue #1153
+
+    var strut = buildCommon.makeSpan(["strut"]);
+    strut.style.height = node.height + node.depth + "em";
+    strut.style.verticalAlign = -node.depth + "em";
+    node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall.
+    // This code resolves issue #1234
+
+    node = buildCommon.makeSpan(["thinbox"], [node], options);
+    return buildCommon.makeSpan(["mord", "vbox"], [node], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // mathllap, mathrlap, mathclap
+    var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]);
+
+    if (group.alignment !== "rlap") {
+      var offset = group.alignment === "llap" ? "-1" : "-0.5";
+      node.setAttribute("lspace", offset + "width");
+    }
+
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/math.js
+
+ // Switching from text mode back to math mode
+
+defineFunction({
+  type: "styling",
+  names: ["\\(", "$"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: function handler(_ref, args) {
+    var funcName = _ref.funcName,
+        parser = _ref.parser;
+    var outerMode = parser.mode;
+    parser.switchMode("math");
+    var close = funcName === "\\(" ? "\\)" : "$";
+    var body = parser.parseExpression(false, close);
+    parser.expect(close);
+    parser.switchMode(outerMode);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      style: "text",
+      body: body
+    };
+  }
+}); // Check for extra closing math delimiters
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\)", "\\]"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: function handler(context, args) {
+    throw new src_ParseError("Mismatched " + context.funcName);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/mathchoice.js
+
+
+
+
+
+
+var mathchoice_chooseMathStyle = function chooseMathStyle(group, options) {
+  switch (options.style.size) {
+    case src_Style.DISPLAY.size:
+      return group.display;
+
+    case src_Style.TEXT.size:
+      return group.text;
+
+    case src_Style.SCRIPT.size:
+      return group.script;
+
+    case src_Style.SCRIPTSCRIPT.size:
+      return group.scriptscript;
+
+    default:
+      return group.text;
+  }
+};
+
+defineFunction({
+  type: "mathchoice",
+  names: ["\\mathchoice"],
+  props: {
+    numArgs: 4
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    return {
+      type: "mathchoice",
+      mode: parser.mode,
+      display: ordargument(args[0]),
+      text: ordargument(args[1]),
+      script: ordargument(args[2]),
+      scriptscript: ordargument(args[3])
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var body = mathchoice_chooseMathStyle(group, options);
+    var elements = buildHTML_buildExpression(body, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var body = mathchoice_chooseMathStyle(group, options);
+    return buildExpressionRow(body, options);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/utils/assembleSupSub.js
+
+
+// For an operator with limits, assemble the base, sup, and sub into a span.
+var assembleSupSub_assembleSupSub = function assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift) {
+  base = buildCommon.makeSpan([], [base]);
+  var sub;
+  var sup; // We manually have to handle the superscripts and subscripts. This,
+  // aside from the kern calculations, is copied from supsub.
+
+  if (supGroup) {
+    var elem = buildHTML_buildGroup(supGroup, options.havingStyle(style.sup()), options);
+    sup = {
+      elem: elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth)
+    };
+  }
+
+  if (subGroup) {
+    var _elem = buildHTML_buildGroup(subGroup, options.havingStyle(style.sub()), options);
+
+    sub = {
+      elem: _elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing2, options.fontMetrics().bigOpSpacing4 - _elem.height)
+    };
+  } // Build the final group as a vlist of the possible subscript, base,
+  // and possible superscript.
+
+
+  var finalGroup;
+
+  if (sup && sub) {
+    var bottom = options.fontMetrics().bigOpSpacing5 + sub.elem.height + sub.elem.depth + sub.kern + base.depth + baseShift;
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: bottom,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else if (sub) {
+    var top = base.height - baseShift; // Shift the limits by the slant of the symbol. Note
+    // that we are supposed to shift the limits by 1/2 of the slant,
+    // but since we are centering the limits adding a full slant of
+    // margin will shift by 1/2 that.
+
+    finalGroup = buildCommon.makeVList({
+      positionType: "top",
+      positionData: top,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }]
+    }, options);
+  } else if (sup) {
+    var _bottom = base.depth + baseShift;
+
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: _bottom,
+      children: [{
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else {
+    // This case probably shouldn't occur (this would mean the
+    // supsub was sending us a group with no superscript or
+    // subscript) but be safe.
+    return base;
+  }
+
+  return buildCommon.makeSpan(["mop", "op-limits"], [finalGroup], options);
+};
+// CONCATENATED MODULE: ./src/functions/op.js
+// Limits, symbols
+
+
+
+
+
+
+
+
+
+
+// Most operators have a large successor symbol, but these don't.
+var noSuccessor = ["\\smallint"]; // NOTE: Unlike most `htmlBuilder`s, this one handles not only "op", but also
+// "supsub" since some of them (like \int) can affect super/subscripting.
+
+var op_htmlBuilder = function htmlBuilder(grp, options) {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  var supGroup;
+  var subGroup;
+  var hasLimits = false;
+  var group;
+
+  if (grp.type === "supsub") {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = grp.sup;
+    subGroup = grp.sub;
+    group = assertNodeType(grp.base, "op");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "op");
+  }
+
+  var style = options.style;
+  var large = false;
+
+  if (style.size === src_Style.DISPLAY.size && group.symbol && !utils.contains(noSuccessor, group.name)) {
+    // Most symbol operators get larger in displaystyle (rule 13)
+    large = true;
+  }
+
+  var base;
+
+  if (group.symbol) {
+    // If this is a symbol, create the symbol.
+    var fontName = large ? "Size2-Regular" : "Size1-Regular";
+    var stash = "";
+
+    if (group.name === "\\oiint" || group.name === "\\oiiint") {
+      // No font glyphs yet, so use a glyph w/o the oval.
+      // TODO: When font glyphs are available, delete this code.
+      stash = group.name.substr(1); // $FlowFixMe
+
+      group.name = stash === "oiint" ? "\\iint" : "\\iiint";
+    }
+
+    base = buildCommon.makeSymbol(group.name, fontName, "math", options, ["mop", "op-symbol", large ? "large-op" : "small-op"]);
+
+    if (stash.length > 0) {
+      // We're in \oiint or \oiiint. Overlay the oval.
+      // TODO: When font glyphs are available, delete this code.
+      var italic = base.italic;
+      var oval = buildCommon.staticSvg(stash + "Size" + (large ? "2" : "1"), options);
+      base = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: base,
+          shift: 0
+        }, {
+          type: "elem",
+          elem: oval,
+          shift: large ? 0.08 : 0
+        }]
+      }, options); // $FlowFixMe
+
+      group.name = "\\" + stash;
+      base.classes.unshift("mop"); // $FlowFixMe
+
+      base.italic = italic;
+    }
+  } else if (group.body) {
+    // If this is a list, compose that list.
+    var inner = buildHTML_buildExpression(group.body, options, true);
+
+    if (inner.length === 1 && inner[0] instanceof domTree_SymbolNode) {
+      base = inner[0];
+      base.classes[0] = "mop"; // replace old mclass
+    } else {
+      base = buildCommon.makeSpan(["mop"], buildCommon.tryCombineChars(inner), options);
+    }
+  } else {
+    // Otherwise, this is a text operator. Build the text from the
+    // operator's name.
+    // TODO(emily): Add a space in the middle of some of these
+    // operators, like \limsup
+    var output = [];
+
+    for (var i = 1; i < group.name.length; i++) {
+      output.push(buildCommon.mathsym(group.name[i], group.mode, options));
+    }
+
+    base = buildCommon.makeSpan(["mop"], output, options);
+  } // If content of op is a single symbol, shift it vertically.
+
+
+  var baseShift = 0;
+  var slant = 0;
+
+  if ((base instanceof domTree_SymbolNode || group.name === "\\oiint" || group.name === "\\oiiint") && !group.suppressBaseShift) {
+    // We suppress the shift of the base of \overset and \underset. Otherwise,
+    // shift the symbol so its center lies on the axis (rule 13). It
+    // appears that our fonts have the centers of the symbols already
+    // almost on the axis, so these numbers are very small. Note we
+    // don't actually apply this here, but instead it is used either in
+    // the vlist creation or separately when there are no limits.
+    baseShift = (base.height - base.depth) / 2 - options.fontMetrics().axisHeight; // The slant of the symbol is just its italic correction.
+    // $FlowFixMe
+
+    slant = base.italic;
+  }
+
+  if (hasLimits) {
+    return assembleSupSub_assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift);
+  } else {
+    if (baseShift) {
+      base.style.position = "relative";
+      base.style.top = baseShift + "em";
+    }
+
+    return base;
+  }
+};
+
+var op_mathmlBuilder = function mathmlBuilder(group, options) {
+  var node;
+
+  if (group.symbol) {
+    // This is a symbol. Just add the symbol.
+    node = new mathMLTree_MathNode("mo", [buildMathML_makeText(group.name, group.mode)]);
+
+    if (utils.contains(noSuccessor, group.name)) {
+      node.setAttribute("largeop", "false");
+    }
+  } else if (group.body) {
+    // This is an operator with children. Add them.
+    node = new mathMLTree_MathNode("mo", buildMathML_buildExpression(group.body, options));
+  } else {
+    // This is a text operator. Add all of the characters from the
+    // operator's name.
+    node = new mathMLTree_MathNode("mi", [new mathMLTree_TextNode(group.name.slice(1))]); // Append an <mo>&ApplyFunction;</mo>.
+    // ref: https://www.w3.org/TR/REC-MathML/chap3_2.html#sec3.2.4
+
+    var operator = new mathMLTree_MathNode("mo", [buildMathML_makeText("\u2061", "text")]);
+
+    if (group.parentIsSupSub) {
+      node = new mathMLTree_MathNode("mo", [node, operator]);
+    } else {
+      node = newDocumentFragment([node, operator]);
+    }
+  }
+
+  return node;
+};
+
+var singleCharBigOps = {
+  "\u220F": "\\prod",
+  "\u2210": "\\coprod",
+  "\u2211": "\\sum",
+  "\u22C0": "\\bigwedge",
+  "\u22C1": "\\bigvee",
+  "\u22C2": "\\bigcap",
+  "\u22C3": "\\bigcup",
+  "\u2A00": "\\bigodot",
+  "\u2A01": "\\bigoplus",
+  "\u2A02": "\\bigotimes",
+  "\u2A04": "\\biguplus",
+  "\u2A06": "\\bigsqcup"
+};
+defineFunction({
+  type: "op",
+  names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "\u220F", "\u2210", "\u2211", "\u22C0", "\u22C1", "\u22C2", "\u22C3", "\u2A00", "\u2A01", "\u2A02", "\u2A04", "\u2A06"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharBigOps[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // Note: calling defineFunction with a type that's already been defined only
+// works because the same htmlBuilder and mathmlBuilder are being used.
+
+defineFunction({
+  type: "op",
+  names: ["\\mathop"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var body = args[0];
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // There are 2 flags for operators; whether they produce limits in
+// displaystyle, and whether they are symbols and should grow in
+// displaystyle. These four groups cover the four possible choices.
+
+var singleCharIntegrals = {
+  "\u222B": "\\int",
+  "\u222C": "\\iint",
+  "\u222D": "\\iiint",
+  "\u222E": "\\oint",
+  "\u222F": "\\oiint",
+  "\u2230": "\\oiiint"
+}; // No limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg", "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg", "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp", "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref3) {
+    var parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // Limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref4) {
+    var parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+}); // No limits, symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222B", "\u222C", "\u222D", "\u222E", "\u222F", "\u2230"],
+  props: {
+    numArgs: 0
+  },
+  handler: function handler(_ref5) {
+    var parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    var fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharIntegrals[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+  htmlBuilder: op_htmlBuilder,
+  mathmlBuilder: op_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/operatorname.js
+
+
+
+
+
+
+
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only
+// "operatorname", but also  "supsub" since \operatorname* can
+var operatorname_htmlBuilder = function htmlBuilder(grp, options) {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  var supGroup;
+  var subGroup;
+  var hasLimits = false;
+  var group;
+
+  if (grp.type === "supsub") {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = grp.sup;
+    subGroup = grp.sub;
+    group = assertNodeType(grp.base, "operatorname");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "operatorname");
+  }
+
+  var base;
+
+  if (group.body.length > 0) {
+    var body = group.body.map(function (child) {
+      // $FlowFixMe: Check if the node has a string `text` property.
+      var childText = child.text;
+
+      if (typeof childText === "string") {
+        return {
+          type: "textord",
+          mode: child.mode,
+          text: childText
+        };
+      } else {
+        return child;
+      }
+    }); // Consolidate function names into symbol characters.
+
+    var expression = buildHTML_buildExpression(body, options.withFont("mathrm"), true);
+
+    for (var i = 0; i < expression.length; i++) {
+      var child = expression[i];
+
+      if (child instanceof domTree_SymbolNode) {
+        // Per amsopn package,
+        // change minus to hyphen and \ast to asterisk
+        child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+      }
+    }
+
+    base = buildCommon.makeSpan(["mop"], expression, options);
+  } else {
+    base = buildCommon.makeSpan(["mop"], [], options);
+  }
+
+  if (hasLimits) {
+    return assembleSupSub_assembleSupSub(base, supGroup, subGroup, options, options.style, 0, 0);
+  } else {
+    return base;
+  }
+};
+
+var operatorname_mathmlBuilder = function mathmlBuilder(group, options) {
+  // The steps taken here are similar to the html version.
+  var expression = buildMathML_buildExpression(group.body, options.withFont("mathrm")); // Is expression a string or has it something like a fraction?
+
+  var isAllString = true; // default
+
+  for (var i = 0; i < expression.length; i++) {
+    var node = expression[i];
+
+    if (node instanceof mathMLTree.SpaceNode) {// Do nothing
+    } else if (node instanceof mathMLTree.MathNode) {
+      switch (node.type) {
+        case "mi":
+        case "mn":
+        case "ms":
+        case "mspace":
+        case "mtext":
+          break;
+        // Do nothing yet.
+
+        case "mo":
+          {
+            var child = node.children[0];
+
+            if (node.children.length === 1 && child instanceof mathMLTree.TextNode) {
+              child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+            } else {
+              isAllString = false;
+            }
+
+            break;
+          }
+
+        default:
+          isAllString = false;
+      }
+    } else {
+      isAllString = false;
+    }
+  }
+
+  if (isAllString) {
+    // Write a single TextNode instead of multiple nested tags.
+    var word = expression.map(function (node) {
+      return node.toText();
+    }).join("");
+    expression = [new mathMLTree.TextNode(word)];
+  }
+
+  var identifier = new mathMLTree.MathNode("mi", expression);
+  identifier.setAttribute("mathvariant", "normal"); // \u2061 is the same as &ApplyFunction;
+  // ref: https://www.w3schools.com/charsets/ref_html_entities_a.asp
+
+  var operator = new mathMLTree.MathNode("mo", [buildMathML_makeText("\u2061", "text")]);
+
+  if (group.parentIsSupSub) {
+    return new mathMLTree.MathNode("mo", [identifier, operator]);
+  } else {
+    return mathMLTree.newDocumentFragment([identifier, operator]);
+  }
+}; // \operatorname
+// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@
+
+
+defineFunction({
+  type: "operatorname",
+  names: ["\\operatorname", "\\operatorname*"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "operatorname",
+      mode: parser.mode,
+      body: ordargument(body),
+      alwaysHandleSupSub: funcName === "\\operatorname*",
+      limits: false,
+      parentIsSupSub: false
+    };
+  },
+  htmlBuilder: operatorname_htmlBuilder,
+  mathmlBuilder: operatorname_mathmlBuilder
+});
+// CONCATENATED MODULE: ./src/functions/ordgroup.js
+
+
+
+
+defineFunctionBuilders({
+  type: "ordgroup",
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (group.semisimple) {
+      return buildCommon.makeFragment(buildHTML_buildExpression(group.body, options, false));
+    }
+
+    return buildCommon.makeSpan(["mord"], buildHTML_buildExpression(group.body, options, true), options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    return buildExpressionRow(group.body, options, true);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/overline.js
+
+
+
+
+
+defineFunction({
+  type: "overline",
+  names: ["\\overline"],
+  props: {
+    numArgs: 1
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var body = args[0];
+    return {
+      type: "overline",
+      mode: parser.mode,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Overlines are handled in the TeXbook pg 443, Rule 9.
+    // Build the inner group in the cramped style.
+    var innerGroup = buildHTML_buildGroup(group.body, options.havingCrampedStyle()); // Create the line above the body
+
+    var line = buildCommon.makeLineSpan("overline-line", options); // Generate the vlist, with the appropriate kerns
+
+    var defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    var vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: innerGroup
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: defaultRuleThickness
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "overline"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203E")]);
+    operator.setAttribute("stretchy", "true");
+    var node = new mathMLTree.MathNode("mover", [buildMathML_buildGroup(group.body, options), operator]);
+    node.setAttribute("accent", "true");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/phantom.js
+
+
+
+
+
+defineFunction({
+  type: "phantom",
+  names: ["\\phantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var body = args[0];
+    return {
+      type: "phantom",
+      mode: parser.mode,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var elements = buildHTML_buildExpression(group.body, options.withPhantom(), false); // \phantom isn't supposed to affect the elements it contains.
+    // See "color" for more details.
+
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var inner = buildMathML_buildExpression(group.body, options);
+    return new mathMLTree.MathNode("mphantom", inner);
+  }
+});
+defineFunction({
+  type: "hphantom",
+  names: ["\\hphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref2, args) {
+    var parser = _ref2.parser;
+    var body = args[0];
+    return {
+      type: "hphantom",
+      mode: parser.mode,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var node = buildCommon.makeSpan([], [buildHTML_buildGroup(group.body, options.withPhantom())]);
+    node.height = 0;
+    node.depth = 0;
+
+    if (node.children) {
+      for (var i = 0; i < node.children.length; i++) {
+        node.children[i].height = 0;
+        node.children[i].depth = 0;
+      }
+    } // See smash for comment re: use of makeVList
+
+
+    node = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \smash as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [node], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var inner = buildMathML_buildExpression(ordargument(group.body), options);
+    var phantom = new mathMLTree.MathNode("mphantom", inner);
+    var node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("height", "0px");
+    node.setAttribute("depth", "0px");
+    return node;
+  }
+});
+defineFunction({
+  type: "vphantom",
+  names: ["\\vphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref3, args) {
+    var parser = _ref3.parser;
+    var body = args[0];
+    return {
+      type: "vphantom",
+      mode: parser.mode,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var inner = buildCommon.makeSpan(["inner"], [buildHTML_buildGroup(group.body, options.withPhantom())]);
+    var fix = buildCommon.makeSpan(["fix"], []);
+    return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var inner = buildMathML_buildExpression(ordargument(group.body), options);
+    var phantom = new mathMLTree.MathNode("mphantom", inner);
+    var node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/raisebox.js
+
+
+
+
+
+
+ // Box manipulation
+
+defineFunction({
+  type: "raisebox",
+  names: ["\\raisebox"],
+  props: {
+    numArgs: 2,
+    argTypes: ["size", "hbox"],
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    var amount = assertNodeType(args[0], "size").value;
+    var body = args[1];
+    return {
+      type: "raisebox",
+      mode: parser.mode,
+      dy: amount,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var body = buildHTML_buildGroup(group.body, options);
+    var dy = units_calculateSize(group.dy, options);
+    return buildCommon.makeVList({
+      positionType: "shift",
+      positionData: -dy,
+      children: [{
+        type: "elem",
+        elem: body
+      }]
+    }, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]);
+    var dy = group.dy.number + group.dy.unit;
+    node.setAttribute("voffset", dy);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/rule.js
+
+
+
+
+
+defineFunction({
+  type: "rule",
+  names: ["\\rule"],
+  props: {
+    numArgs: 2,
+    numOptionalArgs: 1,
+    argTypes: ["size", "size", "size"]
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var shift = optArgs[0];
+    var width = assertNodeType(args[0], "size");
+    var height = assertNodeType(args[1], "size");
+    return {
+      type: "rule",
+      mode: parser.mode,
+      shift: shift && assertNodeType(shift, "size").value,
+      width: width.value,
+      height: height.value
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Make an empty span for the rule
+    var rule = buildCommon.makeSpan(["mord", "rule"], [], options); // Calculate the shift, width, and height of the rule, and account for units
+
+    var width = units_calculateSize(group.width, options);
+    var height = units_calculateSize(group.height, options);
+    var shift = group.shift ? units_calculateSize(group.shift, options) : 0; // Style the rule to the right size
+
+    rule.style.borderRightWidth = width + "em";
+    rule.style.borderTopWidth = height + "em";
+    rule.style.bottom = shift + "em"; // Record the height and width
+
+    rule.width = width;
+    rule.height = height + shift;
+    rule.depth = -shift; // Font size is the number large enough that the browser will
+    // reserve at least `absHeight` space above the baseline.
+    // The 1.125 factor was empirically determined
+
+    rule.maxFontSize = height * 1.125 * options.sizeMultiplier;
+    return rule;
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var width = units_calculateSize(group.width, options);
+    var height = units_calculateSize(group.height, options);
+    var shift = group.shift ? units_calculateSize(group.shift, options) : 0;
+    var color = options.color && options.getColor() || "black";
+    var rule = new mathMLTree.MathNode("mspace");
+    rule.setAttribute("mathbackground", color);
+    rule.setAttribute("width", width + "em");
+    rule.setAttribute("height", height + "em");
+    var wrapper = new mathMLTree.MathNode("mpadded", [rule]);
+
+    if (shift >= 0) {
+      wrapper.setAttribute("height", "+" + shift + "em");
+    } else {
+      wrapper.setAttribute("height", shift + "em");
+      wrapper.setAttribute("depth", "+" + -shift + "em");
+    }
+
+    wrapper.setAttribute("voffset", shift + "em");
+    return wrapper;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/sizing.js
+
+
+
+
+
+function sizingGroup(value, options, baseOptions) {
+  var inner = buildHTML_buildExpression(value, options, false);
+  var multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; // Add size-resetting classes to the inner list and set maxFontSize
+  // manually. Handle nested size changes.
+
+  for (var i = 0; i < inner.length; i++) {
+    var pos = inner[i].classes.indexOf("sizing");
+
+    if (pos < 0) {
+      Array.prototype.push.apply(inner[i].classes, options.sizingClasses(baseOptions));
+    } else if (inner[i].classes[pos + 1] === "reset-size" + options.size) {
+      // This is a nested size change: e.g., inner[i] is the "b" in
+      // `\Huge a \small b`. Override the old size (the `reset-` class)
+      // but not the new size.
+      inner[i].classes[pos + 1] = "reset-size" + baseOptions.size;
+    }
+
+    inner[i].height *= multiplier;
+    inner[i].depth *= multiplier;
+  }
+
+  return buildCommon.makeFragment(inner);
+}
+var sizeFuncs = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"];
+var sizing_htmlBuilder = function htmlBuilder(group, options) {
+  // Handle sizing operators like \Huge. Real TeX doesn't actually allow
+  // these functions inside of math expressions, so we do some special
+  // handling.
+  var newOptions = options.havingSize(group.size);
+  return sizingGroup(group.body, newOptions, options);
+};
+defineFunction({
+  type: "sizing",
+  names: sizeFuncs,
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    var body = parser.parseExpression(false, breakOnTokenText);
+    return {
+      type: "sizing",
+      mode: parser.mode,
+      // Figure out what size to use based on the list of functions above
+      size: sizeFuncs.indexOf(funcName) + 1,
+      body: body
+    };
+  },
+  htmlBuilder: sizing_htmlBuilder,
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var newOptions = options.havingSize(group.size);
+    var inner = buildMathML_buildExpression(group.body, newOptions);
+    var node = new mathMLTree.MathNode("mstyle", inner); // TODO(emily): This doesn't produce the correct size for nested size
+    // changes, because we don't keep state of what style we're currently
+    // in, so we can't reset the size to normal before changing it.  Now
+    // that we're passing an options parameter we should be able to fix
+    // this.
+
+    node.setAttribute("mathsize", newOptions.sizeMultiplier + "em");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/smash.js
+// smash, with optional [tb], as in AMS
+
+
+
+
+
+
+defineFunction({
+  type: "smash",
+  names: ["\\smash"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var smashHeight = false;
+    var smashDepth = false;
+    var tbArg = optArgs[0] && assertNodeType(optArgs[0], "ordgroup");
+
+    if (tbArg) {
+      // Optional [tb] argument is engaged.
+      // ref: amsmath: \renewcommand{\smash}[1][tb]{%
+      //               def\mb@t{\ht}\def\mb@b{\dp}\def\mb@tb{\ht\z@\z@\dp}%
+      var letter = "";
+
+      for (var i = 0; i < tbArg.body.length; ++i) {
+        var node = tbArg.body[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+        letter = node.text;
+
+        if (letter === "t") {
+          smashHeight = true;
+        } else if (letter === "b") {
+          smashDepth = true;
+        } else {
+          smashHeight = false;
+          smashDepth = false;
+          break;
+        }
+      }
+    } else {
+      smashHeight = true;
+      smashDepth = true;
+    }
+
+    var body = args[0];
+    return {
+      type: "smash",
+      mode: parser.mode,
+      body: body,
+      smashHeight: smashHeight,
+      smashDepth: smashDepth
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var node = buildCommon.makeSpan([], [buildHTML_buildGroup(group.body, options)]);
+
+    if (!group.smashHeight && !group.smashDepth) {
+      return node;
+    }
+
+    if (group.smashHeight) {
+      node.height = 0; // In order to influence makeVList, we have to reset the children.
+
+      if (node.children) {
+        for (var i = 0; i < node.children.length; i++) {
+          node.children[i].height = 0;
+        }
+      }
+    }
+
+    if (group.smashDepth) {
+      node.depth = 0;
+
+      if (node.children) {
+        for (var _i = 0; _i < node.children.length; _i++) {
+          node.children[_i].depth = 0;
+        }
+      }
+    } // At this point, we've reset the TeX-like height and depth values.
+    // But the span still has an HTML line height.
+    // makeVList applies "display: table-cell", which prevents the browser
+    // from acting on that line height. So we'll call makeVList now.
+
+
+    var smashedNode = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \hphantom as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [smashedNode], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)]);
+
+    if (group.smashHeight) {
+      node.setAttribute("height", "0px");
+    }
+
+    if (group.smashDepth) {
+      node.setAttribute("depth", "0px");
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/sqrt.js
+
+
+
+
+
+
+
+defineFunction({
+  type: "sqrt",
+  names: ["\\sqrt"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+  handler: function handler(_ref, args, optArgs) {
+    var parser = _ref.parser;
+    var index = optArgs[0];
+    var body = args[0];
+    return {
+      type: "sqrt",
+      mode: parser.mode,
+      body: body,
+      index: index
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Square roots are handled in the TeXbook pg. 443, Rule 11.
+    // First, we do the same steps as in overline to build the inner group
+    // and line
+    var inner = buildHTML_buildGroup(group.body, options.havingCrampedStyle());
+
+    if (inner.height === 0) {
+      // Render a small surd.
+      inner.height = options.fontMetrics().xHeight;
+    } // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+
+    inner = buildCommon.wrapFragment(inner, options); // Calculate the minimum size for the \surd delimiter
+
+    var metrics = options.fontMetrics();
+    var theta = metrics.defaultRuleThickness;
+    var phi = theta;
+
+    if (options.style.id < src_Style.TEXT.id) {
+      phi = options.fontMetrics().xHeight;
+    } // Calculate the clearance between the body and line
+
+
+    var lineClearance = theta + phi / 4;
+    var minDelimiterHeight = inner.height + inner.depth + lineClearance + theta; // Create a sqrt SVG of the required minimum size
+
+    var _delimiter$sqrtImage = delimiter.sqrtImage(minDelimiterHeight, options),
+        img = _delimiter$sqrtImage.span,
+        ruleWidth = _delimiter$sqrtImage.ruleWidth,
+        advanceWidth = _delimiter$sqrtImage.advanceWidth;
+
+    var delimDepth = img.height - ruleWidth; // Adjust the clearance based on the delimiter size
+
+    if (delimDepth > inner.height + inner.depth + lineClearance) {
+      lineClearance = (lineClearance + delimDepth - inner.height - inner.depth) / 2;
+    } // Shift the sqrt image
+
+
+    var imgShift = img.height - inner.height - lineClearance - ruleWidth;
+    inner.style.paddingLeft = advanceWidth + "em"; // Overlay the image and the argument.
+
+    var body = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: inner,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: -(inner.height + imgShift)
+      }, {
+        type: "elem",
+        elem: img
+      }, {
+        type: "kern",
+        size: ruleWidth
+      }]
+    }, options);
+
+    if (!group.index) {
+      return buildCommon.makeSpan(["mord", "sqrt"], [body], options);
+    } else {
+      // Handle the optional root index
+      // The index is always in scriptscript style
+      var newOptions = options.havingStyle(src_Style.SCRIPTSCRIPT);
+      var rootm = buildHTML_buildGroup(group.index, newOptions, options); // The amount the index is shifted by. This is taken from the TeX
+      // source, in the definition of `\r@@t`.
+
+      var toShift = 0.6 * (body.height - body.depth); // Build a VList with the superscript shifted up correctly
+
+      var rootVList = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -toShift,
+        children: [{
+          type: "elem",
+          elem: rootm
+        }]
+      }, options); // Add a class surrounding it so we can add on the appropriate
+      // kerning
+
+      var rootVListWrap = buildCommon.makeSpan(["root"], [rootVList]);
+      return buildCommon.makeSpan(["mord", "sqrt"], [rootVListWrap, body], options);
+    }
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var body = group.body,
+        index = group.index;
+    return index ? new mathMLTree.MathNode("mroot", [buildMathML_buildGroup(body, options), buildMathML_buildGroup(index, options)]) : new mathMLTree.MathNode("msqrt", [buildMathML_buildGroup(body, options)]);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/styling.js
+
+
+
+
+
+var styling_styleMap = {
+  "display": src_Style.DISPLAY,
+  "text": src_Style.TEXT,
+  "script": src_Style.SCRIPT,
+  "scriptscript": src_Style.SCRIPTSCRIPT
+};
+defineFunction({
+  type: "styling",
+  names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    // parse out the implicit body
+    var body = parser.parseExpression(true, breakOnTokenText); // TODO: Refactor to avoid duplicating styleMap in multiple places (e.g.
+    // here and in buildHTML and de-dupe the enumeration of all the styles).
+    // $FlowFixMe: The names above exactly match the styles.
+
+    var style = funcName.slice(1, funcName.length - 5);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      // Figure out what style to use by pulling out the style from
+      // the function name
+      style: style,
+      body: body
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Style changes are handled in the TeXbook on pg. 442, Rule 3.
+    var newStyle = styling_styleMap[group.style];
+    var newOptions = options.havingStyle(newStyle).withFont('');
+    return sizingGroup(group.body, newOptions, options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // Figure out what style we're changing to.
+    var newStyle = styling_styleMap[group.style];
+    var newOptions = options.havingStyle(newStyle);
+    var inner = buildMathML_buildExpression(group.body, newOptions);
+    var node = new mathMLTree.MathNode("mstyle", inner);
+    var styleAttributes = {
+      "display": ["0", "true"],
+      "text": ["0", "false"],
+      "script": ["1", "false"],
+      "scriptscript": ["2", "false"]
+    };
+    var attr = styleAttributes[group.style];
+    node.setAttribute("scriptlevel", attr[0]);
+    node.setAttribute("displaystyle", attr[1]);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/supsub.js
+
+
+
+
+
+
+
+
+
+
+
+
+
+/**
+ * Sometimes, groups perform special rules when they have superscripts or
+ * subscripts attached to them. This function lets the `supsub` group know that
+ * Sometimes, groups perform special rules when they have superscripts or
+ * its inner element should handle the superscripts and subscripts instead of
+ * handling them itself.
+ */
+var supsub_htmlBuilderDelegate = function htmlBuilderDelegate(group, options) {
+  var base = group.base;
+
+  if (!base) {
+    return null;
+  } else if (base.type === "op") {
+    // Operators handle supsubs differently when they have limits
+    // (e.g. `\displaystyle\sum_2^3`)
+    var delegate = base.limits && (options.style.size === src_Style.DISPLAY.size || base.alwaysHandleSupSub);
+    return delegate ? op_htmlBuilder : null;
+  } else if (base.type === "operatorname") {
+    var _delegate = base.alwaysHandleSupSub && (options.style.size === src_Style.DISPLAY.size || base.limits);
+
+    return _delegate ? operatorname_htmlBuilder : null;
+  } else if (base.type === "accent") {
+    return utils.isCharacterBox(base.base) ? accent_htmlBuilder : null;
+  } else if (base.type === "horizBrace") {
+    var isSup = !group.sub;
+    return isSup === base.isOver ? horizBrace_htmlBuilder : null;
+  } else {
+    return null;
+  }
+}; // Super scripts and subscripts, whose precise placement can depend on other
+// functions that precede them.
+
+
+defineFunctionBuilders({
+  type: "supsub",
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Superscript and subscripts are handled in the TeXbook on page
+    // 445-446, rules 18(a-f).
+    // Here is where we defer to the inner group if it should handle
+    // superscripts and subscripts itself.
+    var builderDelegate = supsub_htmlBuilderDelegate(group, options);
+
+    if (builderDelegate) {
+      return builderDelegate(group, options);
+    }
+
+    var valueBase = group.base,
+        valueSup = group.sup,
+        valueSub = group.sub;
+    var base = buildHTML_buildGroup(valueBase, options);
+    var supm;
+    var subm;
+    var metrics = options.fontMetrics(); // Rule 18a
+
+    var supShift = 0;
+    var subShift = 0;
+    var isCharacterBox = valueBase && utils.isCharacterBox(valueBase);
+
+    if (valueSup) {
+      var newOptions = options.havingStyle(options.style.sup());
+      supm = buildHTML_buildGroup(valueSup, newOptions, options);
+
+      if (!isCharacterBox) {
+        supShift = base.height - newOptions.fontMetrics().supDrop * newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    }
+
+    if (valueSub) {
+      var _newOptions = options.havingStyle(options.style.sub());
+
+      subm = buildHTML_buildGroup(valueSub, _newOptions, options);
+
+      if (!isCharacterBox) {
+        subShift = base.depth + _newOptions.fontMetrics().subDrop * _newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    } // Rule 18c
+
+
+    var minSupShift;
+
+    if (options.style === src_Style.DISPLAY) {
+      minSupShift = metrics.sup1;
+    } else if (options.style.cramped) {
+      minSupShift = metrics.sup3;
+    } else {
+      minSupShift = metrics.sup2;
+    } // scriptspace is a font-size-independent size, so scale it
+    // appropriately for use as the marginRight.
+
+
+    var multiplier = options.sizeMultiplier;
+    var marginRight = 0.5 / metrics.ptPerEm / multiplier + "em";
+    var marginLeft = null;
+
+    if (subm) {
+      // Subscripts shouldn't be shifted by the base's italic correction.
+      // Account for that by shifting the subscript back the appropriate
+      // amount. Note we only do this when the base is a single symbol.
+      var isOiint = group.base && group.base.type === "op" && group.base.name && (group.base.name === "\\oiint" || group.base.name === "\\oiiint");
+
+      if (base instanceof domTree_SymbolNode || isOiint) {
+        // $FlowFixMe
+        marginLeft = -base.italic + "em";
+      }
+    }
+
+    var supsub;
+
+    if (supm && subm) {
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      subShift = Math.max(subShift, metrics.sub2);
+      var ruleWidth = metrics.defaultRuleThickness; // Rule 18e
+
+      var maxWidth = 4 * ruleWidth;
+
+      if (supShift - supm.depth - (subm.height - subShift) < maxWidth) {
+        subShift = maxWidth - (supShift - supm.depth) + subm.height;
+        var psi = 0.8 * metrics.xHeight - (supShift - supm.depth);
+
+        if (psi > 0) {
+          supShift += psi;
+          subShift -= psi;
+        }
+      }
+
+      var vlistElem = [{
+        type: "elem",
+        elem: subm,
+        shift: subShift,
+        marginRight: marginRight,
+        marginLeft: marginLeft
+      }, {
+        type: "elem",
+        elem: supm,
+        shift: -supShift,
+        marginRight: marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: vlistElem
+      }, options);
+    } else if (subm) {
+      // Rule 18b
+      subShift = Math.max(subShift, metrics.sub1, subm.height - 0.8 * metrics.xHeight);
+      var _vlistElem = [{
+        type: "elem",
+        elem: subm,
+        marginLeft: marginLeft,
+        marginRight: marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: subShift,
+        children: _vlistElem
+      }, options);
+    } else if (supm) {
+      // Rule 18c, d
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -supShift,
+        children: [{
+          type: "elem",
+          elem: supm,
+          marginRight: marginRight
+        }]
+      }, options);
+    } else {
+      throw new Error("supsub must have either sup or sub.");
+    } // Wrap the supsub vlist in a span.msupsub to reset text-align.
+
+
+    var mclass = getTypeOfDomTree(base, "right") || "mord";
+    return buildCommon.makeSpan([mclass], [base, buildCommon.makeSpan(["msupsub"], [supsub])], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    // Is the inner group a relevant horizonal brace?
+    var isBrace = false;
+    var isOver;
+    var isSup;
+
+    if (group.base && group.base.type === "horizBrace") {
+      isSup = !!group.sup;
+
+      if (isSup === group.base.isOver) {
+        isBrace = true;
+        isOver = group.base.isOver;
+      }
+    }
+
+    if (group.base && (group.base.type === "op" || group.base.type === "operatorname")) {
+      group.base.parentIsSupSub = true;
+    }
+
+    var children = [buildMathML_buildGroup(group.base, options)];
+
+    if (group.sub) {
+      children.push(buildMathML_buildGroup(group.sub, options));
+    }
+
+    if (group.sup) {
+      children.push(buildMathML_buildGroup(group.sup, options));
+    }
+
+    var nodeType;
+
+    if (isBrace) {
+      nodeType = isOver ? "mover" : "munder";
+    } else if (!group.sub) {
+      var base = group.base;
+
+      if (base && base.type === "op" && base.limits && (options.style === src_Style.DISPLAY || base.alwaysHandleSupSub)) {
+        nodeType = "mover";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === src_Style.DISPLAY)) {
+        nodeType = "mover";
+      } else {
+        nodeType = "msup";
+      }
+    } else if (!group.sup) {
+      var _base = group.base;
+
+      if (_base && _base.type === "op" && _base.limits && (options.style === src_Style.DISPLAY || _base.alwaysHandleSupSub)) {
+        nodeType = "munder";
+      } else if (_base && _base.type === "operatorname" && _base.alwaysHandleSupSub && (_base.limits || options.style === src_Style.DISPLAY)) {
+        nodeType = "munder";
+      } else {
+        nodeType = "msub";
+      }
+    } else {
+      var _base2 = group.base;
+
+      if (_base2 && _base2.type === "op" && _base2.limits && options.style === src_Style.DISPLAY) {
+        nodeType = "munderover";
+      } else if (_base2 && _base2.type === "operatorname" && _base2.alwaysHandleSupSub && (options.style === src_Style.DISPLAY || _base2.limits)) {
+        nodeType = "munderover";
+      } else {
+        nodeType = "msubsup";
+      }
+    }
+
+    var node = new mathMLTree.MathNode(nodeType, children);
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/symbolsOp.js
+
+
+
+ // Operator ParseNodes created in Parser.js from symbol Groups in src/symbols.js.
+
+defineFunctionBuilders({
+  type: "atom",
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mo", [buildMathML_makeText(group.text, group.mode)]);
+
+    if (group.family === "bin") {
+      var variant = buildMathML_getVariant(group, options);
+
+      if (variant === "bold-italic") {
+        node.setAttribute("mathvariant", variant);
+      }
+    } else if (group.family === "punct") {
+      node.setAttribute("separator", "true");
+    } else if (group.family === "open" || group.family === "close") {
+      // Delims built here should not stretch vertically.
+      // See delimsizing.js for stretchy delims.
+      node.setAttribute("stretchy", "false");
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/symbolsOrd.js
+
+
+
+
+// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in
+var defaultVariant = {
+  "mi": "italic",
+  "mn": "normal",
+  "mtext": "normal"
+};
+defineFunctionBuilders({
+  type: "mathord",
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "mathord");
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node = new mathMLTree.MathNode("mi", [buildMathML_makeText(group.text, group.mode, options)]);
+    var variant = buildMathML_getVariant(group, options) || "italic";
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+});
+defineFunctionBuilders({
+  type: "textord",
+  htmlBuilder: function htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "textord");
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var text = buildMathML_makeText(group.text, group.mode, options);
+    var variant = buildMathML_getVariant(group, options) || "normal";
+    var node;
+
+    if (group.mode === 'text') {
+      node = new mathMLTree.MathNode("mtext", [text]);
+    } else if (/[0-9]/.test(group.text)) {
+      // TODO(kevinb) merge adjacent <mn> nodes
+      // do it as a post processing step
+      node = new mathMLTree.MathNode("mn", [text]);
+    } else if (group.text === "\\prime") {
+      node = new mathMLTree.MathNode("mo", [text]);
+    } else {
+      node = new mathMLTree.MathNode("mi", [text]);
+    }
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/symbolsSpacing.js
+
+
+
+ // A map of CSS-based spacing functions to their CSS class.
+
+var cssSpace = {
+  "\\nobreak": "nobreak",
+  "\\allowbreak": "allowbreak"
+}; // A lookup table to determine whether a spacing function/symbol should be
+// treated like a regular space character.  If a symbol or command is a key
+// in this table, then it should be a regular space character.  Furthermore,
+// the associated value may have a `className` specifying an extra CSS class
+// to add to the created `span`.
+
+var regularSpace = {
+  " ": {},
+  "\\ ": {},
+  "~": {
+    className: "nobreak"
+  },
+  "\\space": {},
+  "\\nobreakspace": {
+    className: "nobreak"
+  }
+}; // ParseNode<"spacing"> created in Parser.js from the "spacing" symbol Groups in
+// src/symbols.js.
+
+defineFunctionBuilders({
+  type: "spacing",
+  htmlBuilder: function htmlBuilder(group, options) {
+    if (regularSpace.hasOwnProperty(group.text)) {
+      var className = regularSpace[group.text].className || ""; // Spaces are generated by adding an actual space. Each of these
+      // things has an entry in the symbols table, so these will be turned
+      // into appropriate outputs.
+
+      if (group.mode === "text") {
+        var ord = buildCommon.makeOrd(group, options, "textord");
+        ord.classes.push(className);
+        return ord;
+      } else {
+        return buildCommon.makeSpan(["mspace", className], [buildCommon.mathsym(group.text, group.mode, options)], options);
+      }
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // Spaces based on just a CSS class.
+      return buildCommon.makeSpan(["mspace", cssSpace[group.text]], [], options);
+    } else {
+      throw new src_ParseError("Unknown type of space \"" + group.text + "\"");
+    }
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var node;
+
+    if (regularSpace.hasOwnProperty(group.text)) {
+      node = new mathMLTree.MathNode("mtext", [new mathMLTree.TextNode("\xA0")]);
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // CSS-based MathML spaces (\nobreak, \allowbreak) are ignored
+      return new mathMLTree.MathNode("mspace");
+    } else {
+      throw new src_ParseError("Unknown type of space \"" + group.text + "\"");
+    }
+
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/tag.js
+
+
+
+
+var tag_pad = function pad() {
+  var padNode = new mathMLTree.MathNode("mtd", []);
+  padNode.setAttribute("width", "50%");
+  return padNode;
+};
+
+defineFunctionBuilders({
+  type: "tag",
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var table = new mathMLTree.MathNode("mtable", [new mathMLTree.MathNode("mtr", [tag_pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.body, options)]), tag_pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.tag, options)])])]);
+    table.setAttribute("width", "100%");
+    return table; // TODO: Left-aligned tags.
+    // Currently, the group and options passed here do not contain
+    // enough info to set tag alignment. `leqno` is in Settings but it is
+    // not passed to Options. On the HTML side, leqno is
+    // set by a CSS class applied in buildTree.js. That would have worked
+    // in MathML if browsers supported <mlabeledtr>. Since they don't, we
+    // need to rewrite the way this function is called.
+  }
+});
+// CONCATENATED MODULE: ./src/functions/text.js
+
+
+
+ // Non-mathy text, possibly in a font
+
+var textFontFamilies = {
+  "\\text": undefined,
+  "\\textrm": "textrm",
+  "\\textsf": "textsf",
+  "\\texttt": "texttt",
+  "\\textnormal": "textrm"
+};
+var textFontWeights = {
+  "\\textbf": "textbf",
+  "\\textmd": "textmd"
+};
+var textFontShapes = {
+  "\\textit": "textit",
+  "\\textup": "textup"
+};
+
+var optionsWithFont = function optionsWithFont(group, options) {
+  var font = group.font; // Checks if the argument is a font family or a font style.
+
+  if (!font) {
+    return options;
+  } else if (textFontFamilies[font]) {
+    return options.withTextFontFamily(textFontFamilies[font]);
+  } else if (textFontWeights[font]) {
+    return options.withTextFontWeight(textFontWeights[font]);
+  } else {
+    return options.withTextFontShape(textFontShapes[font]);
+  }
+};
+
+defineFunction({
+  type: "text",
+  names: [// Font families
+  "\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", // Font weights
+  "\\textbf", "\\textmd", // Font Shapes
+  "\\textit", "\\textup"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"],
+    greediness: 2,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser,
+        funcName = _ref.funcName;
+    var body = args[0];
+    return {
+      type: "text",
+      mode: parser.mode,
+      body: ordargument(body),
+      font: funcName
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var newOptions = optionsWithFont(group, options);
+    var inner = buildHTML_buildExpression(group.body, newOptions, true);
+    return buildCommon.makeSpan(["mord", "text"], buildCommon.tryCombineChars(inner), newOptions);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var newOptions = optionsWithFont(group, options);
+    return buildExpressionRow(group.body, newOptions);
+  }
+});
+// CONCATENATED MODULE: ./src/functions/underline.js
+
+
+
+
+
+defineFunction({
+  type: "underline",
+  names: ["\\underline"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: function handler(_ref, args) {
+    var parser = _ref.parser;
+    return {
+      type: "underline",
+      mode: parser.mode,
+      body: args[0]
+    };
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    // Underlines are handled in the TeXbook pg 443, Rule 10.
+    // Build the inner group.
+    var innerGroup = buildHTML_buildGroup(group.body, options); // Create the line to go below the body
+
+    var line = buildCommon.makeLineSpan("underline-line", options); // Generate the vlist, with the appropriate kerns
+
+    var defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    var vlist = buildCommon.makeVList({
+      positionType: "top",
+      positionData: innerGroup.height,
+      children: [{
+        type: "kern",
+        size: defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "underline"], [vlist], options);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203E")]);
+    operator.setAttribute("stretchy", "true");
+    var node = new mathMLTree.MathNode("munder", [buildMathML_buildGroup(group.body, options), operator]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+});
+// CONCATENATED MODULE: ./src/functions/verb.js
+
+
+
+
+defineFunction({
+  type: "verb",
+  names: ["\\verb"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: function handler(context, args, optArgs) {
+    // \verb and \verb* are dealt with directly in Parser.js.
+    // If we end up here, it's because of a failure to match the two delimiters
+    // in the regex in Lexer.js.  LaTeX raises the following error when \verb is
+    // terminated by end of line (or file).
+    throw new src_ParseError("\\verb ended by end of line instead of matching delimiter");
+  },
+  htmlBuilder: function htmlBuilder(group, options) {
+    var text = makeVerb(group);
+    var body = []; // \verb enters text mode and therefore is sized like \textstyle
+
+    var newOptions = options.havingStyle(options.style.text());
+
+    for (var i = 0; i < text.length; i++) {
+      var c = text[i];
+
+      if (c === '~') {
+        c = '\\textasciitilde';
+      }
+
+      body.push(buildCommon.makeSymbol(c, "Typewriter-Regular", group.mode, newOptions, ["mord", "texttt"]));
+    }
+
+    return buildCommon.makeSpan(["mord", "text"].concat(newOptions.sizingClasses(options)), buildCommon.tryCombineChars(body), newOptions);
+  },
+  mathmlBuilder: function mathmlBuilder(group, options) {
+    var text = new mathMLTree.TextNode(makeVerb(group));
+    var node = new mathMLTree.MathNode("mtext", [text]);
+    node.setAttribute("mathvariant", "monospace");
+    return node;
+  }
+});
+/**
+ * Converts verb group into body string.
+ *
+ * \verb* replaces each space with an open box \u2423
+ * \verb replaces each space with a no-break space \xA0
+ */
+
+var makeVerb = function makeVerb(group) {
+  return group.body.replace(/ /g, group.star ? "\u2423" : '\xA0');
+};
+// CONCATENATED MODULE: ./src/functions.js
+/** Include this to ensure that all functions are defined. */
+
+var functions = _functions;
+/* harmony default export */ var src_functions = (functions); // TODO(kevinb): have functions return an object and call defineFunction with
+// that object in this file instead of relying on side-effects.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+// CONCATENATED MODULE: ./src/Lexer.js
+/**
+ * The Lexer class handles tokenizing the input in various ways. Since our
+ * parser expects us to be able to backtrack, the lexer allows lexing from any
+ * given starting point.
+ *
+ * Its main exposed function is the `lex` function, which takes a position to
+ * lex from and a type of token to lex. It defers to the appropriate `_innerLex`
+ * function.
+ *
+ * The various `_innerLex` functions perform the actual lexing of different
+ * kinds.
+ */
+
+
+
+
+/* The following tokenRegex
+ * - matches typical whitespace (but not NBSP etc.) using its first group
+ * - does not match any control character \x00-\x1f except whitespace
+ * - does not match a bare backslash
+ * - matches any ASCII character except those just mentioned
+ * - does not match the BMP private use area \uE000-\uF8FF
+ * - does not match bare surrogate code units
+ * - matches any BMP character except for those just described
+ * - matches any valid Unicode surrogate pair
+ * - matches a backslash followed by one or more letters
+ * - matches a backslash followed by any BMP character, including newline
+ * Just because the Lexer matches something doesn't mean it's valid input:
+ * If there is no matching function or symbol definition, the Parser will
+ * still reject the input.
+ */
+var spaceRegexString = "[ \r\n\t]";
+var controlWordRegexString = "\\\\[a-zA-Z@]+";
+var controlSymbolRegexString = "\\\\[^\uD800-\uDFFF]";
+var controlWordWhitespaceRegexString = "" + controlWordRegexString + spaceRegexString + "*";
+var controlWordWhitespaceRegex = new RegExp("^(" + controlWordRegexString + ")" + spaceRegexString + "*$");
+var combiningDiacriticalMarkString = "[\u0300-\u036F]";
+var combiningDiacriticalMarksEndRegex = new RegExp(combiningDiacriticalMarkString + "+$");
+var tokenRegexString = "(" + spaceRegexString + "+)|" + // whitespace
+"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + ( // single codepoint
+combiningDiacriticalMarkString + "*") + // ...plus accents
+"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + ( // surrogate pair
+combiningDiacriticalMarkString + "*") + // ...plus accents
+"|\\\\verb\\*([^]).*?\\3" + // \verb*
+"|\\\\verb([^*a-zA-Z]).*?\\4" + // \verb unstarred
+"|\\\\operatorname\\*" + ( // \operatorname*
+"|" + controlWordWhitespaceRegexString) + ( // \macroName + spaces
+"|" + controlSymbolRegexString + ")"); // \\, \', etc.
+
+/** Main Lexer class */
+
+var Lexer_Lexer =
+/*#__PURE__*/
+function () {
+  // category codes, only supports comment characters (14) for now
+  function Lexer(input, settings) {
+    this.input = void 0;
+    this.settings = void 0;
+    this.tokenRegex = void 0;
+    this.catcodes = void 0;
+    // Separate accents from characters
+    this.input = input;
+    this.settings = settings;
+    this.tokenRegex = new RegExp(tokenRegexString, 'g');
+    this.catcodes = {
+      "%": 14 // comment character
+
+    };
+  }
+
+  var _proto = Lexer.prototype;
+
+  _proto.setCatcode = function setCatcode(char, code) {
+    this.catcodes[char] = code;
+  }
+  /**
+   * This function lexes a single token.
+   */
+  ;
+
+  _proto.lex = function lex() {
+    var input = this.input;
+    var pos = this.tokenRegex.lastIndex;
+
+    if (pos === input.length) {
+      return new Token_Token("EOF", new SourceLocation(this, pos, pos));
+    }
+
+    var match = this.tokenRegex.exec(input);
+
+    if (match === null || match.index !== pos) {
+      throw new src_ParseError("Unexpected character: '" + input[pos] + "'", new Token_Token(input[pos], new SourceLocation(this, pos, pos + 1)));
+    }
+
+    var text = match[2] || " ";
+
+    if (this.catcodes[text] === 14) {
+      // comment character
+      var nlIndex = input.indexOf('\n', this.tokenRegex.lastIndex);
+
+      if (nlIndex === -1) {
+        this.tokenRegex.lastIndex = input.length; // EOF
+
+        this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would " + "fail because of commenting the end of math mode (e.g. $)");
+      } else {
+        this.tokenRegex.lastIndex = nlIndex + 1;
+      }
+
+      return this.lex();
+    } // Trim any trailing whitespace from control word match
+
+
+    var controlMatch = text.match(controlWordWhitespaceRegex);
+
+    if (controlMatch) {
+      text = controlMatch[1];
+    }
+
+    return new Token_Token(text, new SourceLocation(this, pos, this.tokenRegex.lastIndex));
+  };
+
+  return Lexer;
+}();
+
+
+// CONCATENATED MODULE: ./src/Namespace.js
+/**
+ * A `Namespace` refers to a space of nameable things like macros or lengths,
+ * which can be `set` either globally or local to a nested group, using an
+ * undo stack similar to how TeX implements this functionality.
+ * Performance-wise, `get` and local `set` take constant time, while global
+ * `set` takes time proportional to the depth of group nesting.
+ */
+
+
+var Namespace_Namespace =
+/*#__PURE__*/
+function () {
+  /**
+   * Both arguments are optional.  The first argument is an object of
+   * built-in mappings which never change.  The second argument is an object
+   * of initial (global-level) mappings, which will constantly change
+   * according to any global/top-level `set`s done.
+   */
+  function Namespace(builtins, globalMacros) {
+    if (builtins === void 0) {
+      builtins = {};
+    }
+
+    if (globalMacros === void 0) {
+      globalMacros = {};
+    }
+
+    this.current = void 0;
+    this.builtins = void 0;
+    this.undefStack = void 0;
+    this.current = globalMacros;
+    this.builtins = builtins;
+    this.undefStack = [];
+  }
+  /**
+   * Start a new nested group, affecting future local `set`s.
+   */
+
+
+  var _proto = Namespace.prototype;
+
+  _proto.beginGroup = function beginGroup() {
+    this.undefStack.push({});
+  }
+  /**
+   * End current nested group, restoring values before the group began.
+   */
+  ;
+
+  _proto.endGroup = function endGroup() {
+    if (this.undefStack.length === 0) {
+      throw new src_ParseError("Unbalanced namespace destruction: attempt " + "to pop global namespace; please report this as a bug");
+    }
+
+    var undefs = this.undefStack.pop();
+
+    for (var undef in undefs) {
+      if (undefs.hasOwnProperty(undef)) {
+        if (undefs[undef] === undefined) {
+          delete this.current[undef];
+        } else {
+          this.current[undef] = undefs[undef];
+        }
+      }
+    }
+  }
+  /**
+   * Detect whether `name` has a definition.  Equivalent to
+   * `get(name) != null`.
+   */
+  ;
+
+  _proto.has = function has(name) {
+    return this.current.hasOwnProperty(name) || this.builtins.hasOwnProperty(name);
+  }
+  /**
+   * Get the current value of a name, or `undefined` if there is no value.
+   *
+   * Note: Do not use `if (namespace.get(...))` to detect whether a macro
+   * is defined, as the definition may be the empty string which evaluates
+   * to `false` in JavaScript.  Use `if (namespace.get(...) != null)` or
+   * `if (namespace.has(...))`.
+   */
+  ;
+
+  _proto.get = function get(name) {
+    if (this.current.hasOwnProperty(name)) {
+      return this.current[name];
+    } else {
+      return this.builtins[name];
+    }
+  }
+  /**
+   * Set the current value of a name, and optionally set it globally too.
+   * Local set() sets the current value and (when appropriate) adds an undo
+   * operation to the undo stack.  Global set() may change the undo
+   * operation at every level, so takes time linear in their number.
+   */
+  ;
+
+  _proto.set = function set(name, value, global) {
+    if (global === void 0) {
+      global = false;
+    }
+
+    if (global) {
+      // Global set is equivalent to setting in all groups.  Simulate this
+      // by destroying any undos currently scheduled for this name,
+      // and adding an undo with the *new* value (in case it later gets
+      // locally reset within this environment).
+      for (var i = 0; i < this.undefStack.length; i++) {
+        delete this.undefStack[i][name];
+      }
+
+      if (this.undefStack.length > 0) {
+        this.undefStack[this.undefStack.length - 1][name] = value;
+      }
+    } else {
+      // Undo this set at end of this group (possibly to `undefined`),
+      // unless an undo is already in place, in which case that older
+      // value is the correct one.
+      var top = this.undefStack[this.undefStack.length - 1];
+
+      if (top && !top.hasOwnProperty(name)) {
+        top[name] = this.current[name];
+      }
+    }
+
+    this.current[name] = value;
+  };
+
+  return Namespace;
+}();
+
+
+// CONCATENATED MODULE: ./src/macros.js
+/**
+ * Predefined macros for KaTeX.
+ * This can be used to define some commands in terms of others.
+ */
+
+
+
+
+
+
+var builtinMacros = {};
+/* harmony default export */ var macros = (builtinMacros); // This function might one day accept an additional argument and do more things.
+
+function defineMacro(name, body) {
+  builtinMacros[name] = body;
+} //////////////////////////////////////////////////////////////////////
+// macro tools
+
+defineMacro("\\noexpand", function (context) {
+  // The expansion is the token itself; but that token is interpreted
+  // as if its meaning were ‘\relax’ if it is a control sequence that
+  // would ordinarily be expanded by TeX’s expansion rules.
+  var t = context.popToken();
+
+  if (context.isExpandable(t.text)) {
+    t.noexpand = true;
+    t.treatAsRelax = true;
+  }
+
+  return {
+    tokens: [t],
+    numArgs: 0
+  };
+});
+defineMacro("\\expandafter", function (context) {
+  // TeX first reads the token that comes immediately after \expandafter,
+  // without expanding it; let’s call this token t. Then TeX reads the
+  // token that comes after t (and possibly more tokens, if that token
+  // has an argument), replacing it by its expansion. Finally TeX puts
+  // t back in front of that expansion.
+  var t = context.popToken();
+  context.expandOnce(true); // expand only an expandable token
+
+  return {
+    tokens: [t],
+    numArgs: 0
+  };
+}); // LaTeX's \@firstoftwo{#1}{#2} expands to #1, skipping #2
+// TeX source: \long\def\@firstoftwo#1#2{#1}
+
+defineMacro("\\@firstoftwo", function (context) {
+  var args = context.consumeArgs(2);
+  return {
+    tokens: args[0],
+    numArgs: 0
+  };
+}); // LaTeX's \@secondoftwo{#1}{#2} expands to #2, skipping #1
+// TeX source: \long\def\@secondoftwo#1#2{#2}
+
+defineMacro("\\@secondoftwo", function (context) {
+  var args = context.consumeArgs(2);
+  return {
+    tokens: args[1],
+    numArgs: 0
+  };
+}); // LaTeX's \@ifnextchar{#1}{#2}{#3} looks ahead to the next (unexpanded)
+// symbol that isn't a space, consuming any spaces but not consuming the
+// first nonspace character.  If that nonspace character matches #1, then
+// the macro expands to #2; otherwise, it expands to #3.
+
+defineMacro("\\@ifnextchar", function (context) {
+  var args = context.consumeArgs(3); // symbol, if, else
+
+  context.consumeSpaces();
+  var nextToken = context.future();
+
+  if (args[0].length === 1 && args[0][0].text === nextToken.text) {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[2],
+      numArgs: 0
+    };
+  }
+}); // LaTeX's \@ifstar{#1}{#2} looks ahead to the next (unexpanded) symbol.
+// If it is `*`, then it consumes the symbol, and the macro expands to #1;
+// otherwise, the macro expands to #2 (without consuming the symbol).
+// TeX source: \def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}}
+
+defineMacro("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"); // LaTeX's \TextOrMath{#1}{#2} expands to #1 in text mode, #2 in math mode
+
+defineMacro("\\TextOrMath", function (context) {
+  var args = context.consumeArgs(2);
+
+  if (context.mode === 'text') {
+    return {
+      tokens: args[0],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  }
+}); // Lookup table for parsing numbers in base 8 through 16
+
+var digitToNumber = {
+  "0": 0,
+  "1": 1,
+  "2": 2,
+  "3": 3,
+  "4": 4,
+  "5": 5,
+  "6": 6,
+  "7": 7,
+  "8": 8,
+  "9": 9,
+  "a": 10,
+  "A": 10,
+  "b": 11,
+  "B": 11,
+  "c": 12,
+  "C": 12,
+  "d": 13,
+  "D": 13,
+  "e": 14,
+  "E": 14,
+  "f": 15,
+  "F": 15
+}; // TeX \char makes a literal character (catcode 12) using the following forms:
+// (see The TeXBook, p. 43)
+//   \char123  -- decimal
+//   \char'123 -- octal
+//   \char"123 -- hex
+//   \char`x   -- character that can be written (i.e. isn't active)
+//   \char`\x  -- character that cannot be written (e.g. %)
+// These all refer to characters from the font, so we turn them into special
+// calls to a function \@char dealt with in the Parser.
+
+defineMacro("\\char", function (context) {
+  var token = context.popToken();
+  var base;
+  var number = '';
+
+  if (token.text === "'") {
+    base = 8;
+    token = context.popToken();
+  } else if (token.text === '"') {
+    base = 16;
+    token = context.popToken();
+  } else if (token.text === "`") {
+    token = context.popToken();
+
+    if (token.text[0] === "\\") {
+      number = token.text.charCodeAt(1);
+    } else if (token.text === "EOF") {
+      throw new src_ParseError("\\char` missing argument");
+    } else {
+      number = token.text.charCodeAt(0);
+    }
+  } else {
+    base = 10;
+  }
+
+  if (base) {
+    // Parse a number in the given base, starting with first `token`.
+    number = digitToNumber[token.text];
+
+    if (number == null || number >= base) {
+      throw new src_ParseError("Invalid base-" + base + " digit " + token.text);
+    }
+
+    var digit;
+
+    while ((digit = digitToNumber[context.future().text]) != null && digit < base) {
+      number *= base;
+      number += digit;
+      context.popToken();
+    }
+  }
+
+  return "\\@char{" + number + "}";
+}); // \newcommand{\macro}[args]{definition}
+// \renewcommand{\macro}[args]{definition}
+// TODO: Optional arguments: \newcommand{\macro}[args][default]{definition}
+
+var macros_newcommand = function newcommand(context, existsOK, nonexistsOK) {
+  var arg = context.consumeArgs(1)[0];
+
+  if (arg.length !== 1) {
+    throw new src_ParseError("\\newcommand's first argument must be a macro name");
+  }
+
+  var name = arg[0].text;
+  var exists = context.isDefined(name);
+
+  if (exists && !existsOK) {
+    throw new src_ParseError("\\newcommand{" + name + "} attempting to redefine " + (name + "; use \\renewcommand"));
+  }
+
+  if (!exists && !nonexistsOK) {
+    throw new src_ParseError("\\renewcommand{" + name + "} when command " + name + " " + "does not yet exist; use \\newcommand");
+  }
+
+  var numArgs = 0;
+  arg = context.consumeArgs(1)[0];
+
+  if (arg.length === 1 && arg[0].text === "[") {
+    var argText = '';
+    var token = context.expandNextToken();
+
+    while (token.text !== "]" && token.text !== "EOF") {
+      // TODO: Should properly expand arg, e.g., ignore {}s
+      argText += token.text;
+      token = context.expandNextToken();
+    }
+
+    if (!argText.match(/^\s*[0-9]+\s*$/)) {
+      throw new src_ParseError("Invalid number of arguments: " + argText);
+    }
+
+    numArgs = parseInt(argText);
+    arg = context.consumeArgs(1)[0];
+  } // Final arg is the expansion of the macro
+
+
+  context.macros.set(name, {
+    tokens: arg,
+    numArgs: numArgs
+  });
+  return '';
+};
+
+defineMacro("\\newcommand", function (context) {
+  return macros_newcommand(context, false, true);
+});
+defineMacro("\\renewcommand", function (context) {
+  return macros_newcommand(context, true, false);
+});
+defineMacro("\\providecommand", function (context) {
+  return macros_newcommand(context, true, true);
+}); // terminal (console) tools
+
+defineMacro("\\message", function (context) {
+  var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console
+
+  console.log(arg.reverse().map(function (token) {
+    return token.text;
+  }).join(""));
+  return '';
+});
+defineMacro("\\errmessage", function (context) {
+  var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console
+
+  console.error(arg.reverse().map(function (token) {
+    return token.text;
+  }).join(""));
+  return '';
+});
+defineMacro("\\show", function (context) {
+  var tok = context.popToken();
+  var name = tok.text; // eslint-disable-next-line no-console
+
+  console.log(tok, context.macros.get(name), src_functions[name], src_symbols.math[name], src_symbols.text[name]);
+  return '';
+}); //////////////////////////////////////////////////////////////////////
+// Grouping
+// \let\bgroup={ \let\egroup=}
+
+defineMacro("\\bgroup", "{");
+defineMacro("\\egroup", "}"); // Symbols from latex.ltx:
+// \def\lq{`}
+// \def\rq{'}
+// \def \aa {\r a}
+// \def \AA {\r A}
+
+defineMacro("\\lq", "`");
+defineMacro("\\rq", "'");
+defineMacro("\\aa", "\\r a");
+defineMacro("\\AA", "\\r A"); // Copyright (C) and registered (R) symbols. Use raw symbol in MathML.
+// \DeclareTextCommandDefault{\textcopyright}{\textcircled{c}}
+// \DeclareTextCommandDefault{\textregistered}{\textcircled{%
+//      \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}}
+// \DeclareRobustCommand{\copyright}{%
+//    \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi}
+
+defineMacro("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}");
+defineMacro("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}");
+defineMacro("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"); // Characters omitted from Unicode range 1D400–1D7FF
+
+defineMacro("\u212C", "\\mathscr{B}"); // script
+
+defineMacro("\u2130", "\\mathscr{E}");
+defineMacro("\u2131", "\\mathscr{F}");
+defineMacro("\u210B", "\\mathscr{H}");
+defineMacro("\u2110", "\\mathscr{I}");
+defineMacro("\u2112", "\\mathscr{L}");
+defineMacro("\u2133", "\\mathscr{M}");
+defineMacro("\u211B", "\\mathscr{R}");
+defineMacro("\u212D", "\\mathfrak{C}"); // Fraktur
+
+defineMacro("\u210C", "\\mathfrak{H}");
+defineMacro("\u2128", "\\mathfrak{Z}"); // Define \Bbbk with a macro that works in both HTML and MathML.
+
+defineMacro("\\Bbbk", "\\Bbb{k}"); // Unicode middle dot
+// The KaTeX fonts do not contain U+00B7. Instead, \cdotp displays
+// the dot at U+22C5 and gives it punct spacing.
+
+defineMacro("\xB7", "\\cdotp"); // \llap and \rlap render their contents in text mode
+
+defineMacro("\\llap", "\\mathllap{\\textrm{#1}}");
+defineMacro("\\rlap", "\\mathrlap{\\textrm{#1}}");
+defineMacro("\\clap", "\\mathclap{\\textrm{#1}}"); // \not is defined by base/fontmath.ltx via
+// \DeclareMathSymbol{\not}{\mathrel}{symbols}{"36}
+// It's thus treated like a \mathrel, but defined by a symbol that has zero
+// width but extends to the right.  We use \rlap to get that spacing.
+// For MathML we write U+0338 here. buildMathML.js will then do the overlay.
+
+defineMacro("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'); // Negated symbols from base/fontmath.ltx:
+// \def\neq{\not=} \let\ne=\neq
+// \DeclareRobustCommand
+//   \notin{\mathrel{\m@th\mathpalette\c@ncel\in}}
+// \def\c@ncel#1#2{\m@th\ooalign{$\hfil#1\mkern1mu/\hfil$\crcr$#1#2$}}
+
+defineMacro("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}");
+defineMacro("\\ne", "\\neq");
+defineMacro("\u2260", "\\neq");
+defineMacro("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}" + "{\\mathrel{\\char`∉}}");
+defineMacro("\u2209", "\\notin"); // Unicode stacked relations
+
+defineMacro("\u2258", "\\html@mathml{" + "\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}" + "}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u225A", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225A}}");
+defineMacro("\u225B", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}" + "{\\mathrel{\\char`\u225B}}");
+defineMacro("\u225D", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}" + "{\\mathrel{\\char`\u225D}}");
+defineMacro("\u225E", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}" + "{\\mathrel{\\char`\u225E}}");
+defineMacro("\u225F", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225F}}"); // Misc Unicode
+
+defineMacro("\u27C2", "\\perp");
+defineMacro("\u203C", "\\mathclose{!\\mkern-0.8mu!}");
+defineMacro("\u220C", "\\notni");
+defineMacro("\u231C", "\\ulcorner");
+defineMacro("\u231D", "\\urcorner");
+defineMacro("\u231E", "\\llcorner");
+defineMacro("\u231F", "\\lrcorner");
+defineMacro("\xA9", "\\copyright");
+defineMacro("\xAE", "\\textregistered");
+defineMacro("\uFE0F", "\\textregistered"); // The KaTeX fonts have corners at codepoints that don't match Unicode.
+// For MathML purposes, use the Unicode code point.
+
+defineMacro("\\ulcorner", "\\html@mathml{\\@ulcorner}{\\mathop{\\char\"231c}}");
+defineMacro("\\urcorner", "\\html@mathml{\\@urcorner}{\\mathop{\\char\"231d}}");
+defineMacro("\\llcorner", "\\html@mathml{\\@llcorner}{\\mathop{\\char\"231e}}");
+defineMacro("\\lrcorner", "\\html@mathml{\\@lrcorner}{\\mathop{\\char\"231f}}"); //////////////////////////////////////////////////////////////////////
+// LaTeX_2ε
+// \vdots{\vbox{\baselineskip4\p@  \lineskiplimit\z@
+// \kern6\p@\hbox{.}\hbox{.}\hbox{.}}}
+// We'll call \varvdots, which gets a glyph from symbols.js.
+// The zero-width rule gets us an equivalent to the vertical 6pt kern.
+
+defineMacro("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}");
+defineMacro("\u22EE", "\\vdots"); //////////////////////////////////////////////////////////////////////
+// amsmath.sty
+// http://mirrors.concertpass.com/tex-archive/macros/latex/required/amsmath/amsmath.pdf
+// Italic Greek capital letters.  AMS defines these with \DeclareMathSymbol,
+// but they are equivalent to \mathit{\Letter}.
+
+defineMacro("\\varGamma", "\\mathit{\\Gamma}");
+defineMacro("\\varDelta", "\\mathit{\\Delta}");
+defineMacro("\\varTheta", "\\mathit{\\Theta}");
+defineMacro("\\varLambda", "\\mathit{\\Lambda}");
+defineMacro("\\varXi", "\\mathit{\\Xi}");
+defineMacro("\\varPi", "\\mathit{\\Pi}");
+defineMacro("\\varSigma", "\\mathit{\\Sigma}");
+defineMacro("\\varUpsilon", "\\mathit{\\Upsilon}");
+defineMacro("\\varPhi", "\\mathit{\\Phi}");
+defineMacro("\\varPsi", "\\mathit{\\Psi}");
+defineMacro("\\varOmega", "\\mathit{\\Omega}"); //\newcommand{\substack}[1]{\subarray{c}#1\endsubarray}
+
+defineMacro("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"); // \renewcommand{\colon}{\nobreak\mskip2mu\mathpunct{}\nonscript
+// \mkern-\thinmuskip{:}\mskip6muplus1mu\relax}
+
+defineMacro("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}" + "\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu"); // \newcommand{\boxed}[1]{\fbox{\m@th$\displaystyle#1$}}
+
+defineMacro("\\boxed", "\\fbox{$\\displaystyle{#1}$}"); // \def\iff{\DOTSB\;\Longleftrightarrow\;}
+// \def\implies{\DOTSB\;\Longrightarrow\;}
+// \def\impliedby{\DOTSB\;\Longleftarrow\;}
+
+defineMacro("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;");
+defineMacro("\\implies", "\\DOTSB\\;\\Longrightarrow\\;");
+defineMacro("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;"); // AMSMath's automatic \dots, based on \mdots@@ macro.
+
+var dotsByToken = {
+  ',': '\\dotsc',
+  '\\not': '\\dotsb',
+  // \keybin@ checks for the following:
+  '+': '\\dotsb',
+  '=': '\\dotsb',
+  '<': '\\dotsb',
+  '>': '\\dotsb',
+  '-': '\\dotsb',
+  '*': '\\dotsb',
+  ':': '\\dotsb',
+  // Symbols whose definition starts with \DOTSB:
+  '\\DOTSB': '\\dotsb',
+  '\\coprod': '\\dotsb',
+  '\\bigvee': '\\dotsb',
+  '\\bigwedge': '\\dotsb',
+  '\\biguplus': '\\dotsb',
+  '\\bigcap': '\\dotsb',
+  '\\bigcup': '\\dotsb',
+  '\\prod': '\\dotsb',
+  '\\sum': '\\dotsb',
+  '\\bigotimes': '\\dotsb',
+  '\\bigoplus': '\\dotsb',
+  '\\bigodot': '\\dotsb',
+  '\\bigsqcup': '\\dotsb',
+  '\\And': '\\dotsb',
+  '\\longrightarrow': '\\dotsb',
+  '\\Longrightarrow': '\\dotsb',
+  '\\longleftarrow': '\\dotsb',
+  '\\Longleftarrow': '\\dotsb',
+  '\\longleftrightarrow': '\\dotsb',
+  '\\Longleftrightarrow': '\\dotsb',
+  '\\mapsto': '\\dotsb',
+  '\\longmapsto': '\\dotsb',
+  '\\hookrightarrow': '\\dotsb',
+  '\\doteq': '\\dotsb',
+  // Symbols whose definition starts with \mathbin:
+  '\\mathbin': '\\dotsb',
+  // Symbols whose definition starts with \mathrel:
+  '\\mathrel': '\\dotsb',
+  '\\relbar': '\\dotsb',
+  '\\Relbar': '\\dotsb',
+  '\\xrightarrow': '\\dotsb',
+  '\\xleftarrow': '\\dotsb',
+  // Symbols whose definition starts with \DOTSI:
+  '\\DOTSI': '\\dotsi',
+  '\\int': '\\dotsi',
+  '\\oint': '\\dotsi',
+  '\\iint': '\\dotsi',
+  '\\iiint': '\\dotsi',
+  '\\iiiint': '\\dotsi',
+  '\\idotsint': '\\dotsi',
+  // Symbols whose definition starts with \DOTSX:
+  '\\DOTSX': '\\dotsx'
+};
+defineMacro("\\dots", function (context) {
+  // TODO: If used in text mode, should expand to \textellipsis.
+  // However, in KaTeX, \textellipsis and \ldots behave the same
+  // (in text mode), and it's unlikely we'd see any of the math commands
+  // that affect the behavior of \dots when in text mode.  So fine for now
+  // (until we support \ifmmode ... \else ... \fi).
+  var thedots = '\\dotso';
+  var next = context.expandAfterFuture().text;
+
+  if (next in dotsByToken) {
+    thedots = dotsByToken[next];
+  } else if (next.substr(0, 4) === '\\not') {
+    thedots = '\\dotsb';
+  } else if (next in src_symbols.math) {
+    if (utils.contains(['bin', 'rel'], src_symbols.math[next].group)) {
+      thedots = '\\dotsb';
+    }
+  }
+
+  return thedots;
+});
+var spaceAfterDots = {
+  // \rightdelim@ checks for the following:
+  ')': true,
+  ']': true,
+  '\\rbrack': true,
+  '\\}': true,
+  '\\rbrace': true,
+  '\\rangle': true,
+  '\\rceil': true,
+  '\\rfloor': true,
+  '\\rgroup': true,
+  '\\rmoustache': true,
+  '\\right': true,
+  '\\bigr': true,
+  '\\biggr': true,
+  '\\Bigr': true,
+  '\\Biggr': true,
+  // \extra@ also tests for the following:
+  '$': true,
+  // \extrap@ checks for the following:
+  ';': true,
+  '.': true,
+  ',': true
+};
+defineMacro("\\dotso", function (context) {
+  var next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\dotsc", function (context) {
+  var next = context.future().text; // \dotsc uses \extra@ but not \extrap@, instead specially checking for
+  // ';' and '.', but doesn't check for ','.
+
+  if (next in spaceAfterDots && next !== ',') {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\cdots", function (context) {
+  var next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\@cdots\\,";
+  } else {
+    return "\\@cdots";
+  }
+});
+defineMacro("\\dotsb", "\\cdots");
+defineMacro("\\dotsm", "\\cdots");
+defineMacro("\\dotsi", "\\!\\cdots"); // amsmath doesn't actually define \dotsx, but \dots followed by a macro
+// starting with \DOTSX implies \dotso, and then \extra@ detects this case
+// and forces the added `\,`.
+
+defineMacro("\\dotsx", "\\ldots\\,"); // \let\DOTSI\relax
+// \let\DOTSB\relax
+// \let\DOTSX\relax
+
+defineMacro("\\DOTSI", "\\relax");
+defineMacro("\\DOTSB", "\\relax");
+defineMacro("\\DOTSX", "\\relax"); // Spacing, based on amsmath.sty's override of LaTeX defaults
+// \DeclareRobustCommand{\tmspace}[3]{%
+//   \ifmmode\mskip#1#2\else\kern#1#3\fi\relax}
+
+defineMacro("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"); // \renewcommand{\,}{\tmspace+\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\,", "\\tmspace+{3mu}{.1667em}"); // \let\thinspace\,
+
+defineMacro("\\thinspace", "\\,"); // \def\>{\mskip\medmuskip}
+// \renewcommand{\:}{\tmspace+\medmuskip{.2222em}}
+// TODO: \> and math mode of \: should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\>", "\\mskip{4mu}");
+defineMacro("\\:", "\\tmspace+{4mu}{.2222em}"); // \let\medspace\:
+
+defineMacro("\\medspace", "\\:"); // \renewcommand{\;}{\tmspace+\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip = 5mu plus 5mu
+
+defineMacro("\\;", "\\tmspace+{5mu}{.2777em}"); // \let\thickspace\;
+
+defineMacro("\\thickspace", "\\;"); // \renewcommand{\!}{\tmspace-\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\!", "\\tmspace-{3mu}{.1667em}"); // \let\negthinspace\!
+
+defineMacro("\\negthinspace", "\\!"); // \newcommand{\negmedspace}{\tmspace-\medmuskip{.2222em}}
+// TODO: math mode should use \medmuskip
+
+defineMacro("\\negmedspace", "\\tmspace-{4mu}{.2222em}"); // \newcommand{\negthickspace}{\tmspace-\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip
+
+defineMacro("\\negthickspace", "\\tmspace-{5mu}{.277em}"); // \def\enspace{\kern.5em }
+
+defineMacro("\\enspace", "\\kern.5em "); // \def\enskip{\hskip.5em\relax}
+
+defineMacro("\\enskip", "\\hskip.5em\\relax"); // \def\quad{\hskip1em\relax}
+
+defineMacro("\\quad", "\\hskip1em\\relax"); // \def\qquad{\hskip2em\relax}
+
+defineMacro("\\qquad", "\\hskip2em\\relax"); // \tag@in@display form of \tag
+
+defineMacro("\\tag", "\\@ifstar\\tag@literal\\tag@paren");
+defineMacro("\\tag@paren", "\\tag@literal{({#1})}");
+defineMacro("\\tag@literal", function (context) {
+  if (context.macros.get("\\df@tag")) {
+    throw new src_ParseError("Multiple \\tag");
+  }
+
+  return "\\gdef\\df@tag{\\text{#1}}";
+}); // \renewcommand{\bmod}{\nonscript\mskip-\medmuskip\mkern5mu\mathbin
+//   {\operator@font mod}\penalty900
+//   \mkern5mu\nonscript\mskip-\medmuskip}
+// \newcommand{\pod}[1]{\allowbreak
+//   \if@display\mkern18mu\else\mkern8mu\fi(#1)}
+// \renewcommand{\pmod}[1]{\pod{{\operator@font mod}\mkern6mu#1}}
+// \newcommand{\mod}[1]{\allowbreak\if@display\mkern18mu
+//   \else\mkern12mu\fi{\operator@font mod}\,\,#1}
+// TODO: math mode should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}" + "\\mathbin{\\rm mod}" + "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}");
+defineMacro("\\pod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)");
+defineMacro("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}");
+defineMacro("\\mod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}" + "{\\rm mod}\\,\\,#1"); // \pmb    --   A simulation of bold.
+// The version in ambsy.sty works by typesetting three copies of the argument
+// with small offsets. We use two copies. We omit the vertical offset because
+// of rendering problems that makeVList encounters in Safari.
+
+defineMacro("\\pmb", "\\html@mathml{" + "\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}" + "{\\mathbf{#1}}"); //////////////////////////////////////////////////////////////////////
+// LaTeX source2e
+// \\ defaults to \newline, but changes to \cr within array environment
+
+defineMacro("\\\\", "\\newline"); // \def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@}
+// TODO: Doesn't normally work in math mode because \@ fails.  KaTeX doesn't
+// support \@ yet, so that's omitted, and we add \text so that the result
+// doesn't look funny in math mode.
+
+defineMacro("\\TeX", "\\textrm{\\html@mathml{" + "T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX" + "}{TeX}}"); // \DeclareRobustCommand{\LaTeX}{L\kern-.36em%
+//         {\sbox\z@ T%
+//          \vbox to\ht\z@{\hbox{\check@mathfonts
+//                               \fontsize\sf@size\z@
+//                               \math@fontsfalse\selectfont
+//                               A}%
+//                         \vss}%
+//         }%
+//         \kern-.15em%
+//         \TeX}
+// This code aligns the top of the A with the T (from the perspective of TeX's
+// boxes, though visually the A appears to extend above slightly).
+// We compute the corresponding \raisebox when A is rendered in \normalsize
+// \scriptstyle, which has a scale factor of 0.7 (see Options.js).
+
+var latexRaiseA = fontMetricsData['Main-Regular']["T".charCodeAt(0)][1] - 0.7 * fontMetricsData['Main-Regular']["A".charCodeAt(0)][1] + "em";
+defineMacro("\\LaTeX", "\\textrm{\\html@mathml{" + ("L\\kern-.36em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{LaTeX}}"); // New KaTeX logo based on tweaking LaTeX logo
+
+defineMacro("\\KaTeX", "\\textrm{\\html@mathml{" + ("K\\kern-.17em\\raisebox{" + latexRaiseA + "}{\\scriptstyle A}") + "\\kern-.15em\\TeX}{KaTeX}}"); // \DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace}
+// \def\@hspace#1{\hskip  #1\relax}
+// \def\@hspacer#1{\vrule \@width\z@\nobreak
+//                 \hskip #1\hskip \z@skip}
+
+defineMacro("\\hspace", "\\@ifstar\\@hspacer\\@hspace");
+defineMacro("\\@hspace", "\\hskip #1\\relax");
+defineMacro("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"); //////////////////////////////////////////////////////////////////////
+// mathtools.sty
+//\providecommand\ordinarycolon{:}
+
+defineMacro("\\ordinarycolon", ":"); //\def\vcentcolon{\mathrel{\mathop\ordinarycolon}}
+//TODO(edemaine): Not yet centered. Fix via \raisebox or #726
+
+defineMacro("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"); // \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon}
+
+defineMacro("\\dblcolon", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}" + "{\\mathop{\\char\"2237}}"); // \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\coloneqq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2254}}"); // ≔
+// \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\Coloneqq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2237\\char\"3d}}"); // \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\coloneq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"3a\\char\"2212}}"); // \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\Coloneq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"2237\\char\"2212}}"); // \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2255}}"); // ≕
+// \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"3d\\char\"2237}}"); // \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2239}}"); // \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"2212\\char\"2237}}"); // \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\colonapprox", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"3a\\char\"2248}}"); // \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\Colonapprox", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"2237\\char\"2248}}"); // \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\colonsim", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"3a\\char\"223c}}"); // \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\Colonsim", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"2237\\char\"223c}}"); // Some Unicode characters are implemented with macros to mathtools functions.
+
+defineMacro("\u2237", "\\dblcolon"); // ::
+
+defineMacro("\u2239", "\\eqcolon"); // -:
+
+defineMacro("\u2254", "\\coloneqq"); // :=
+
+defineMacro("\u2255", "\\eqqcolon"); // =:
+
+defineMacro("\u2A74", "\\Coloneqq"); // ::=
+//////////////////////////////////////////////////////////////////////
+// colonequals.sty
+// Alternate names for mathtools's macros:
+
+defineMacro("\\ratio", "\\vcentcolon");
+defineMacro("\\coloncolon", "\\dblcolon");
+defineMacro("\\colonequals", "\\coloneqq");
+defineMacro("\\coloncolonequals", "\\Coloneqq");
+defineMacro("\\equalscolon", "\\eqqcolon");
+defineMacro("\\equalscoloncolon", "\\Eqqcolon");
+defineMacro("\\colonminus", "\\coloneq");
+defineMacro("\\coloncolonminus", "\\Coloneq");
+defineMacro("\\minuscolon", "\\eqcolon");
+defineMacro("\\minuscoloncolon", "\\Eqcolon"); // \colonapprox name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonapprox", "\\Colonapprox"); // \colonsim name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonsim", "\\Colonsim"); // Additional macros, implemented by analogy with mathtools definitions:
+
+defineMacro("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");
+defineMacro("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"); // Present in newtxmath, pxfonts and txfonts
+
+defineMacro("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220C}}");
+defineMacro("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}");
+defineMacro("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"); //////////////////////////////////////////////////////////////////////
+// MathML alternates for KaTeX glyphs in the Unicode private area
+
+defineMacro("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}");
+defineMacro("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}");
+defineMacro("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}");
+defineMacro("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}");
+defineMacro("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}");
+defineMacro("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}");
+defineMacro("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}");
+defineMacro("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}");
+defineMacro("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}");
+defineMacro("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}");
+defineMacro("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}");
+defineMacro("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}");
+defineMacro("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}");
+defineMacro("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}");
+defineMacro("\\imath", "\\html@mathml{\\@imath}{\u0131}");
+defineMacro("\\jmath", "\\html@mathml{\\@jmath}{\u0237}"); //////////////////////////////////////////////////////////////////////
+// stmaryrd and semantic
+// The stmaryrd and semantic packages render the next four items by calling a
+// glyph. Those glyphs do not exist in the KaTeX fonts. Hence the macros.
+
+defineMacro("\\llbracket", "\\html@mathml{" + "\\mathopen{[\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u27E6}}");
+defineMacro("\\rrbracket", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu]}}" + "{\\mathclose{\\char`\u27E7}}");
+defineMacro("\u27E6", "\\llbracket"); // blackboard bold [
+
+defineMacro("\u27E7", "\\rrbracket"); // blackboard bold ]
+
+defineMacro("\\lBrace", "\\html@mathml{" + "\\mathopen{\\{\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u2983}}");
+defineMacro("\\rBrace", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu\\}}}" + "{\\mathclose{\\char`\u2984}}");
+defineMacro("\u2983", "\\lBrace"); // blackboard bold {
+
+defineMacro("\u2984", "\\rBrace"); // blackboard bold }
+// TODO: Create variable sized versions of the last two items. I believe that
+// will require new font glyphs.
+// The stmaryrd function `\minuso` provides a "Plimsoll" symbol that
+// superimposes the characters \circ and \mathminus. Used in chemistry.
+
+defineMacro("\\minuso", "\\mathbin{\\html@mathml{" + "{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}" + "{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}" + "{\\char`⦵}}");
+defineMacro("⦵", "\\minuso"); //////////////////////////////////////////////////////////////////////
+// texvc.sty
+// The texvc package contains macros available in mediawiki pages.
+// We omit the functions deprecated at
+// https://en.wikipedia.org/wiki/Help:Displaying_a_formula#Deprecated_syntax
+// We also omit texvc's \O, which conflicts with \text{\O}
+
+defineMacro("\\darr", "\\downarrow");
+defineMacro("\\dArr", "\\Downarrow");
+defineMacro("\\Darr", "\\Downarrow");
+defineMacro("\\lang", "\\langle");
+defineMacro("\\rang", "\\rangle");
+defineMacro("\\uarr", "\\uparrow");
+defineMacro("\\uArr", "\\Uparrow");
+defineMacro("\\Uarr", "\\Uparrow");
+defineMacro("\\N", "\\mathbb{N}");
+defineMacro("\\R", "\\mathbb{R}");
+defineMacro("\\Z", "\\mathbb{Z}");
+defineMacro("\\alef", "\\aleph");
+defineMacro("\\alefsym", "\\aleph");
+defineMacro("\\Alpha", "\\mathrm{A}");
+defineMacro("\\Beta", "\\mathrm{B}");
+defineMacro("\\bull", "\\bullet");
+defineMacro("\\Chi", "\\mathrm{X}");
+defineMacro("\\clubs", "\\clubsuit");
+defineMacro("\\cnums", "\\mathbb{C}");
+defineMacro("\\Complex", "\\mathbb{C}");
+defineMacro("\\Dagger", "\\ddagger");
+defineMacro("\\diamonds", "\\diamondsuit");
+defineMacro("\\empty", "\\emptyset");
+defineMacro("\\Epsilon", "\\mathrm{E}");
+defineMacro("\\Eta", "\\mathrm{H}");
+defineMacro("\\exist", "\\exists");
+defineMacro("\\harr", "\\leftrightarrow");
+defineMacro("\\hArr", "\\Leftrightarrow");
+defineMacro("\\Harr", "\\Leftrightarrow");
+defineMacro("\\hearts", "\\heartsuit");
+defineMacro("\\image", "\\Im");
+defineMacro("\\infin", "\\infty");
+defineMacro("\\Iota", "\\mathrm{I}");
+defineMacro("\\isin", "\\in");
+defineMacro("\\Kappa", "\\mathrm{K}");
+defineMacro("\\larr", "\\leftarrow");
+defineMacro("\\lArr", "\\Leftarrow");
+defineMacro("\\Larr", "\\Leftarrow");
+defineMacro("\\lrarr", "\\leftrightarrow");
+defineMacro("\\lrArr", "\\Leftrightarrow");
+defineMacro("\\Lrarr", "\\Leftrightarrow");
+defineMacro("\\Mu", "\\mathrm{M}");
+defineMacro("\\natnums", "\\mathbb{N}");
+defineMacro("\\Nu", "\\mathrm{N}");
+defineMacro("\\Omicron", "\\mathrm{O}");
+defineMacro("\\plusmn", "\\pm");
+defineMacro("\\rarr", "\\rightarrow");
+defineMacro("\\rArr", "\\Rightarrow");
+defineMacro("\\Rarr", "\\Rightarrow");
+defineMacro("\\real", "\\Re");
+defineMacro("\\reals", "\\mathbb{R}");
+defineMacro("\\Reals", "\\mathbb{R}");
+defineMacro("\\Rho", "\\mathrm{P}");
+defineMacro("\\sdot", "\\cdot");
+defineMacro("\\sect", "\\S");
+defineMacro("\\spades", "\\spadesuit");
+defineMacro("\\sub", "\\subset");
+defineMacro("\\sube", "\\subseteq");
+defineMacro("\\supe", "\\supseteq");
+defineMacro("\\Tau", "\\mathrm{T}");
+defineMacro("\\thetasym", "\\vartheta"); // TODO: defineMacro("\\varcoppa", "\\\mbox{\\coppa}");
+
+defineMacro("\\weierp", "\\wp");
+defineMacro("\\Zeta", "\\mathrm{Z}"); //////////////////////////////////////////////////////////////////////
+// statmath.sty
+// https://ctan.math.illinois.edu/macros/latex/contrib/statmath/statmath.pdf
+
+defineMacro("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}");
+defineMacro("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}");
+defineMacro("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"); //////////////////////////////////////////////////////////////////////
+// braket.sty
+// http://ctan.math.washington.edu/tex-archive/macros/latex/contrib/braket/braket.pdf
+
+defineMacro("\\bra", "\\mathinner{\\langle{#1}|}");
+defineMacro("\\ket", "\\mathinner{|{#1}\\rangle}");
+defineMacro("\\braket", "\\mathinner{\\langle{#1}\\rangle}");
+defineMacro("\\Bra", "\\left\\langle#1\\right|");
+defineMacro("\\Ket", "\\left|#1\\right\\rangle"); // Custom Khan Academy colors, should be moved to an optional package
+
+defineMacro("\\blue", "\\textcolor{##6495ed}{#1}");
+defineMacro("\\orange", "\\textcolor{##ffa500}{#1}");
+defineMacro("\\pink", "\\textcolor{##ff00af}{#1}");
+defineMacro("\\red", "\\textcolor{##df0030}{#1}");
+defineMacro("\\green", "\\textcolor{##28ae7b}{#1}");
+defineMacro("\\gray", "\\textcolor{gray}{#1}");
+defineMacro("\\purple", "\\textcolor{##9d38bd}{#1}");
+defineMacro("\\blueA", "\\textcolor{##ccfaff}{#1}");
+defineMacro("\\blueB", "\\textcolor{##80f6ff}{#1}");
+defineMacro("\\blueC", "\\textcolor{##63d9ea}{#1}");
+defineMacro("\\blueD", "\\textcolor{##11accd}{#1}");
+defineMacro("\\blueE", "\\textcolor{##0c7f99}{#1}");
+defineMacro("\\tealA", "\\textcolor{##94fff5}{#1}");
+defineMacro("\\tealB", "\\textcolor{##26edd5}{#1}");
+defineMacro("\\tealC", "\\textcolor{##01d1c1}{#1}");
+defineMacro("\\tealD", "\\textcolor{##01a995}{#1}");
+defineMacro("\\tealE", "\\textcolor{##208170}{#1}");
+defineMacro("\\greenA", "\\textcolor{##b6ffb0}{#1}");
+defineMacro("\\greenB", "\\textcolor{##8af281}{#1}");
+defineMacro("\\greenC", "\\textcolor{##74cf70}{#1}");
+defineMacro("\\greenD", "\\textcolor{##1fab54}{#1}");
+defineMacro("\\greenE", "\\textcolor{##0d923f}{#1}");
+defineMacro("\\goldA", "\\textcolor{##ffd0a9}{#1}");
+defineMacro("\\goldB", "\\textcolor{##ffbb71}{#1}");
+defineMacro("\\goldC", "\\textcolor{##ff9c39}{#1}");
+defineMacro("\\goldD", "\\textcolor{##e07d10}{#1}");
+defineMacro("\\goldE", "\\textcolor{##a75a05}{#1}");
+defineMacro("\\redA", "\\textcolor{##fca9a9}{#1}");
+defineMacro("\\redB", "\\textcolor{##ff8482}{#1}");
+defineMacro("\\redC", "\\textcolor{##f9685d}{#1}");
+defineMacro("\\redD", "\\textcolor{##e84d39}{#1}");
+defineMacro("\\redE", "\\textcolor{##bc2612}{#1}");
+defineMacro("\\maroonA", "\\textcolor{##ffbde0}{#1}");
+defineMacro("\\maroonB", "\\textcolor{##ff92c6}{#1}");
+defineMacro("\\maroonC", "\\textcolor{##ed5fa6}{#1}");
+defineMacro("\\maroonD", "\\textcolor{##ca337c}{#1}");
+defineMacro("\\maroonE", "\\textcolor{##9e034e}{#1}");
+defineMacro("\\purpleA", "\\textcolor{##ddd7ff}{#1}");
+defineMacro("\\purpleB", "\\textcolor{##c6b9fc}{#1}");
+defineMacro("\\purpleC", "\\textcolor{##aa87ff}{#1}");
+defineMacro("\\purpleD", "\\textcolor{##7854ab}{#1}");
+defineMacro("\\purpleE", "\\textcolor{##543b78}{#1}");
+defineMacro("\\mintA", "\\textcolor{##f5f9e8}{#1}");
+defineMacro("\\mintB", "\\textcolor{##edf2df}{#1}");
+defineMacro("\\mintC", "\\textcolor{##e0e5cc}{#1}");
+defineMacro("\\grayA", "\\textcolor{##f6f7f7}{#1}");
+defineMacro("\\grayB", "\\textcolor{##f0f1f2}{#1}");
+defineMacro("\\grayC", "\\textcolor{##e3e5e6}{#1}");
+defineMacro("\\grayD", "\\textcolor{##d6d8da}{#1}");
+defineMacro("\\grayE", "\\textcolor{##babec2}{#1}");
+defineMacro("\\grayF", "\\textcolor{##888d93}{#1}");
+defineMacro("\\grayG", "\\textcolor{##626569}{#1}");
+defineMacro("\\grayH", "\\textcolor{##3b3e40}{#1}");
+defineMacro("\\grayI", "\\textcolor{##21242c}{#1}");
+defineMacro("\\kaBlue", "\\textcolor{##314453}{#1}");
+defineMacro("\\kaGreen", "\\textcolor{##71B307}{#1}");
+// CONCATENATED MODULE: ./src/MacroExpander.js
+/**
+ * This file contains the “gullet” where macros are expanded
+ * until only non-macro tokens remain.
+ */
+
+
+
+
+
+
+
+// List of commands that act like macros but aren't defined as a macro,
+// function, or symbol.  Used in `isDefined`.
+var implicitCommands = {
+  "\\relax": true,
+  // MacroExpander.js
+  "^": true,
+  // Parser.js
+  "_": true,
+  // Parser.js
+  "\\limits": true,
+  // Parser.js
+  "\\nolimits": true // Parser.js
+
+};
+
+var MacroExpander_MacroExpander =
+/*#__PURE__*/
+function () {
+  function MacroExpander(input, settings, mode) {
+    this.settings = void 0;
+    this.expansionCount = void 0;
+    this.lexer = void 0;
+    this.macros = void 0;
+    this.stack = void 0;
+    this.mode = void 0;
+    this.settings = settings;
+    this.expansionCount = 0;
+    this.feed(input); // Make new global namespace
+
+    this.macros = new Namespace_Namespace(macros, settings.macros);
+    this.mode = mode;
+    this.stack = []; // contains tokens in REVERSE order
+  }
+  /**
+   * Feed a new input string to the same MacroExpander
+   * (with existing macros etc.).
+   */
+
+
+  var _proto = MacroExpander.prototype;
+
+  _proto.feed = function feed(input) {
+    this.lexer = new Lexer_Lexer(input, this.settings);
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+  ;
+
+  _proto.switchMode = function switchMode(newMode) {
+    this.mode = newMode;
+  }
+  /**
+   * Start a new group nesting within all namespaces.
+   */
+  ;
+
+  _proto.beginGroup = function beginGroup() {
+    this.macros.beginGroup();
+  }
+  /**
+   * End current group nesting within all namespaces.
+   */
+  ;
+
+  _proto.endGroup = function endGroup() {
+    this.macros.endGroup();
+  }
+  /**
+   * Returns the topmost token on the stack, without expanding it.
+   * Similar in behavior to TeX's `\futurelet`.
+   */
+  ;
+
+  _proto.future = function future() {
+    if (this.stack.length === 0) {
+      this.pushToken(this.lexer.lex());
+    }
+
+    return this.stack[this.stack.length - 1];
+  }
+  /**
+   * Remove and return the next unexpanded token.
+   */
+  ;
+
+  _proto.popToken = function popToken() {
+    this.future(); // ensure non-empty stack
+
+    return this.stack.pop();
+  }
+  /**
+   * Add a given token to the token stack.  In particular, this get be used
+   * to put back a token returned from one of the other methods.
+   */
+  ;
+
+  _proto.pushToken = function pushToken(token) {
+    this.stack.push(token);
+  }
+  /**
+   * Append an array of tokens to the token stack.
+   */
+  ;
+
+  _proto.pushTokens = function pushTokens(tokens) {
+    var _this$stack;
+
+    (_this$stack = this.stack).push.apply(_this$stack, tokens);
+  }
+  /**
+   * Consume all following space tokens, without expansion.
+   */
+  ;
+
+  _proto.consumeSpaces = function consumeSpaces() {
+    for (;;) {
+      var token = this.future();
+
+      if (token.text === " ") {
+        this.stack.pop();
+      } else {
+        break;
+      }
+    }
+  }
+  /**
+   * Consume the specified number of arguments from the token stream,
+   * and return the resulting array of arguments.
+   */
+  ;
+
+  _proto.consumeArgs = function consumeArgs(numArgs) {
+    var args = []; // obtain arguments, either single token or balanced {…} group
+
+    for (var i = 0; i < numArgs; ++i) {
+      this.consumeSpaces(); // ignore spaces before each argument
+
+      var startOfArg = this.popToken();
+
+      if (startOfArg.text === "{") {
+        var arg = [];
+        var depth = 1;
+
+        while (depth !== 0) {
+          var tok = this.popToken();
+          arg.push(tok);
+
+          if (tok.text === "{") {
+            ++depth;
+          } else if (tok.text === "}") {
+            --depth;
+          } else if (tok.text === "EOF") {
+            throw new src_ParseError("End of input in macro argument", startOfArg);
+          }
+        }
+
+        arg.pop(); // remove last }
+
+        arg.reverse(); // like above, to fit in with stack order
+
+        args[i] = arg;
+      } else if (startOfArg.text === "EOF") {
+        throw new src_ParseError("End of input expecting macro argument");
+      } else {
+        args[i] = [startOfArg];
+      }
+    }
+
+    return args;
+  }
+  /**
+   * Expand the next token only once if possible.
+   *
+   * If the token is expanded, the resulting tokens will be pushed onto
+   * the stack in reverse order and will be returned as an array,
+   * also in reverse order.
+   *
+   * If not, the next token will be returned without removing it
+   * from the stack.  This case can be detected by a `Token` return value
+   * instead of an `Array` return value.
+   *
+   * In either case, the next token will be on the top of the stack,
+   * or the stack will be empty.
+   *
+   * Used to implement `expandAfterFuture` and `expandNextToken`.
+   *
+   * At the moment, macro expansion doesn't handle delimited macros,
+   * i.e. things like those defined by \def\foo#1\end{…}.
+   * See the TeX book page 202ff. for details on how those should behave.
+   *
+   * If expandableOnly, only expandable tokens are expanded and
+   * an undefined control sequence results in an error.
+   */
+  ;
+
+  _proto.expandOnce = function expandOnce(expandableOnly) {
+    var topToken = this.popToken();
+    var name = topToken.text;
+    var expansion = !topToken.noexpand ? this._getExpansion(name) : null;
+
+    if (expansion == null || expandableOnly && expansion.unexpandable) {
+      if (expandableOnly && expansion == null && name[0] === "\\" && !this.isDefined(name)) {
+        throw new src_ParseError("Undefined control sequence: " + name);
+      }
+
+      this.pushToken(topToken);
+      return topToken;
+    }
+
+    this.expansionCount++;
+
+    if (this.expansionCount > this.settings.maxExpand) {
+      throw new src_ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting");
+    }
+
+    var tokens = expansion.tokens;
+
+    if (expansion.numArgs) {
+      var args = this.consumeArgs(expansion.numArgs); // paste arguments in place of the placeholders
+
+      tokens = tokens.slice(); // make a shallow copy
+
+      for (var i = tokens.length - 1; i >= 0; --i) {
+        var tok = tokens[i];
+
+        if (tok.text === "#") {
+          if (i === 0) {
+            throw new src_ParseError("Incomplete placeholder at end of macro body", tok);
+          }
+
+          tok = tokens[--i]; // next token on stack
+
+          if (tok.text === "#") {
+            // ## → #
+            tokens.splice(i + 1, 1); // drop first #
+          } else if (/^[1-9]$/.test(tok.text)) {
+            var _tokens;
+
+            // replace the placeholder with the indicated argument
+            (_tokens = tokens).splice.apply(_tokens, [i, 2].concat(args[+tok.text - 1]));
+          } else {
+            throw new src_ParseError("Not a valid argument number", tok);
+          }
+        }
+      }
+    } // Concatenate expansion onto top of stack.
+
+
+    this.pushTokens(tokens);
+    return tokens;
+  }
+  /**
+   * Expand the next token only once (if possible), and return the resulting
+   * top token on the stack (without removing anything from the stack).
+   * Similar in behavior to TeX's `\expandafter\futurelet`.
+   * Equivalent to expandOnce() followed by future().
+   */
+  ;
+
+  _proto.expandAfterFuture = function expandAfterFuture() {
+    this.expandOnce();
+    return this.future();
+  }
+  /**
+   * Recursively expand first token, then return first non-expandable token.
+   */
+  ;
+
+  _proto.expandNextToken = function expandNextToken() {
+    for (;;) {
+      var expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token_Token) {
+        // \relax stops the expansion, but shouldn't get returned (a
+        // null return value couldn't get implemented as a function).
+        // the token after \noexpand is interpreted as if its meaning
+        // were ‘\relax’
+        if (expanded.text === "\\relax" || expanded.treatAsRelax) {
+          this.stack.pop();
+        } else {
+          return this.stack.pop(); // === expanded
+        }
+      }
+    } // Flow unable to figure out that this pathway is impossible.
+    // https://github.com/facebook/flow/issues/4808
+
+
+    throw new Error(); // eslint-disable-line no-unreachable
+  }
+  /**
+   * Fully expand the given macro name and return the resulting list of
+   * tokens, or return `undefined` if no such macro is defined.
+   */
+  ;
+
+  _proto.expandMacro = function expandMacro(name) {
+    return this.macros.has(name) ? this.expandTokens([new Token_Token(name)]) : undefined;
+  }
+  /**
+   * Fully expand the given token stream and return the resulting list of tokens
+   */
+  ;
+
+  _proto.expandTokens = function expandTokens(tokens) {
+    var output = [];
+    var oldStackLength = this.stack.length;
+    this.pushTokens(tokens);
+
+    while (this.stack.length > oldStackLength) {
+      var expanded = this.expandOnce(true); // expand only expandable tokens
+      // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token_Token) {
+        if (expanded.treatAsRelax) {
+          // the expansion of \noexpand is the token itself
+          expanded.noexpand = false;
+          expanded.treatAsRelax = false;
+        }
+
+        output.push(this.stack.pop());
+      }
+    }
+
+    return output;
+  }
+  /**
+   * Fully expand the given macro name and return the result as a string,
+   * or return `undefined` if no such macro is defined.
+   */
+  ;
+
+  _proto.expandMacroAsText = function expandMacroAsText(name) {
+    var tokens = this.expandMacro(name);
+
+    if (tokens) {
+      return tokens.map(function (token) {
+        return token.text;
+      }).join("");
+    } else {
+      return tokens;
+    }
+  }
+  /**
+   * Returns the expanded macro as a reversed array of tokens and a macro
+   * argument count.  Or returns `null` if no such macro.
+   */
+  ;
+
+  _proto._getExpansion = function _getExpansion(name) {
+    var definition = this.macros.get(name);
+
+    if (definition == null) {
+      // mainly checking for undefined here
+      return definition;
+    }
+
+    var expansion = typeof definition === "function" ? definition(this) : definition;
+
+    if (typeof expansion === "string") {
+      var numArgs = 0;
+
+      if (expansion.indexOf("#") !== -1) {
+        var stripped = expansion.replace(/##/g, "");
+
+        while (stripped.indexOf("#" + (numArgs + 1)) !== -1) {
+          ++numArgs;
+        }
+      }
+
+      var bodyLexer = new Lexer_Lexer(expansion, this.settings);
+      var tokens = [];
+      var tok = bodyLexer.lex();
+
+      while (tok.text !== "EOF") {
+        tokens.push(tok);
+        tok = bodyLexer.lex();
+      }
+
+      tokens.reverse(); // to fit in with stack using push and pop
+
+      var expanded = {
+        tokens: tokens,
+        numArgs: numArgs
+      };
+      return expanded;
+    }
+
+    return expansion;
+  }
+  /**
+   * Determine whether a command is currently "defined" (has some
+   * functionality), meaning that it's a macro (in the current group),
+   * a function, a symbol, or one of the special commands listed in
+   * `implicitCommands`.
+   */
+  ;
+
+  _proto.isDefined = function isDefined(name) {
+    return this.macros.has(name) || src_functions.hasOwnProperty(name) || src_symbols.math.hasOwnProperty(name) || src_symbols.text.hasOwnProperty(name) || implicitCommands.hasOwnProperty(name);
+  }
+  /**
+   * Determine whether a command is expandable.
+   */
+  ;
+
+  _proto.isExpandable = function isExpandable(name) {
+    var macro = this.macros.get(name);
+    return macro != null ? typeof macro === "string" || typeof macro === "function" || !macro.unexpandable // TODO(ylem): #2085
+    : src_functions.hasOwnProperty(name)
+    /* && !functions[name].primitive*/
+    ;
+  };
+
+  return MacroExpander;
+}();
+
+
+// CONCATENATED MODULE: ./src/Parser.js
+/* eslint no-constant-condition:0 */
+
+
+
+
+
+
+
+
+
+ // Pre-evaluate both modules as unicodeSymbols require String.normalize()
+
+var unicodeAccents = {
+  "́": {
+    "text": "\\'",
+    "math": "\\acute"
+  },
+  "̀": {
+    "text": "\\`",
+    "math": "\\grave"
+  },
+  "̈": {
+    "text": "\\\"",
+    "math": "\\ddot"
+  },
+  "̃": {
+    "text": "\\~",
+    "math": "\\tilde"
+  },
+  "̄": {
+    "text": "\\=",
+    "math": "\\bar"
+  },
+  "̆": {
+    "text": "\\u",
+    "math": "\\breve"
+  },
+  "̌": {
+    "text": "\\v",
+    "math": "\\check"
+  },
+  "̂": {
+    "text": "\\^",
+    "math": "\\hat"
+  },
+  "̇": {
+    "text": "\\.",
+    "math": "\\dot"
+  },
+  "̊": {
+    "text": "\\r",
+    "math": "\\mathring"
+  },
+  "̋": {
+    "text": "\\H"
+  }
+};
+var unicodeSymbols = {
+  "á": "á",
+  "à": "à",
+  "ä": "ä",
+  "ǟ": "ǟ",
+  "ã": "ã",
+  "ā": "ā",
+  "ă": "ă",
+  "ắ": "ắ",
+  "ằ": "ằ",
+  "ẵ": "ẵ",
+  "ǎ": "ǎ",
+  "â": "â",
+  "ấ": "ấ",
+  "ầ": "ầ",
+  "ẫ": "ẫ",
+  "ȧ": "ȧ",
+  "ǡ": "ǡ",
+  "å": "å",
+  "ǻ": "ǻ",
+  "ḃ": "ḃ",
+  "ć": "ć",
+  "č": "č",
+  "ĉ": "ĉ",
+  "ċ": "ċ",
+  "ď": "ď",
+  "ḋ": "ḋ",
+  "é": "é",
+  "è": "è",
+  "ë": "ë",
+  "ẽ": "ẽ",
+  "ē": "ē",
+  "ḗ": "ḗ",
+  "ḕ": "ḕ",
+  "ĕ": "ĕ",
+  "ě": "ě",
+  "ê": "ê",
+  "ế": "ế",
+  "ề": "ề",
+  "ễ": "ễ",
+  "ė": "ė",
+  "ḟ": "ḟ",
+  "ǵ": "ǵ",
+  "ḡ": "ḡ",
+  "ğ": "ğ",
+  "ǧ": "ǧ",
+  "ĝ": "ĝ",
+  "ġ": "ġ",
+  "ḧ": "ḧ",
+  "ȟ": "ȟ",
+  "ĥ": "ĥ",
+  "ḣ": "ḣ",
+  "í": "í",
+  "ì": "ì",
+  "ï": "ï",
+  "ḯ": "ḯ",
+  "ĩ": "ĩ",
+  "ī": "ī",
+  "ĭ": "ĭ",
+  "ǐ": "ǐ",
+  "î": "î",
+  "ǰ": "ǰ",
+  "ĵ": "ĵ",
+  "ḱ": "ḱ",
+  "ǩ": "ǩ",
+  "ĺ": "ĺ",
+  "ľ": "ľ",
+  "ḿ": "ḿ",
+  "ṁ": "ṁ",
+  "ń": "ń",
+  "ǹ": "ǹ",
+  "ñ": "ñ",
+  "ň": "ň",
+  "ṅ": "ṅ",
+  "ó": "ó",
+  "ò": "ò",
+  "ö": "ö",
+  "ȫ": "ȫ",
+  "õ": "õ",
+  "ṍ": "ṍ",
+  "ṏ": "ṏ",
+  "ȭ": "ȭ",
+  "ō": "ō",
+  "ṓ": "ṓ",
+  "ṑ": "ṑ",
+  "ŏ": "ŏ",
+  "ǒ": "ǒ",
+  "ô": "ô",
+  "ố": "ố",
+  "ồ": "ồ",
+  "ỗ": "ỗ",
+  "ȯ": "ȯ",
+  "ȱ": "ȱ",
+  "ő": "ő",
+  "ṕ": "ṕ",
+  "ṗ": "ṗ",
+  "ŕ": "ŕ",
+  "ř": "ř",
+  "ṙ": "ṙ",
+  "ś": "ś",
+  "ṥ": "ṥ",
+  "š": "š",
+  "ṧ": "ṧ",
+  "ŝ": "ŝ",
+  "ṡ": "ṡ",
+  "ẗ": "ẗ",
+  "ť": "ť",
+  "ṫ": "ṫ",
+  "ú": "ú",
+  "ù": "ù",
+  "ü": "ü",
+  "ǘ": "ǘ",
+  "ǜ": "ǜ",
+  "ǖ": "ǖ",
+  "ǚ": "ǚ",
+  "ũ": "ũ",
+  "ṹ": "ṹ",
+  "ū": "ū",
+  "ṻ": "ṻ",
+  "ŭ": "ŭ",
+  "ǔ": "ǔ",
+  "û": "û",
+  "ů": "ů",
+  "ű": "ű",
+  "ṽ": "ṽ",
+  "ẃ": "ẃ",
+  "ẁ": "ẁ",
+  "ẅ": "ẅ",
+  "ŵ": "ŵ",
+  "ẇ": "ẇ",
+  "ẘ": "ẘ",
+  "ẍ": "ẍ",
+  "ẋ": "ẋ",
+  "ý": "ý",
+  "ỳ": "ỳ",
+  "ÿ": "ÿ",
+  "ỹ": "ỹ",
+  "ȳ": "ȳ",
+  "ŷ": "ŷ",
+  "ẏ": "ẏ",
+  "ẙ": "ẙ",
+  "ź": "ź",
+  "ž": "ž",
+  "ẑ": "ẑ",
+  "ż": "ż",
+  "Á": "Á",
+  "À": "À",
+  "Ä": "Ä",
+  "Ǟ": "Ǟ",
+  "Ã": "Ã",
+  "Ā": "Ā",
+  "Ă": "Ă",
+  "Ắ": "Ắ",
+  "Ằ": "Ằ",
+  "Ẵ": "Ẵ",
+  "Ǎ": "Ǎ",
+  "Â": "Â",
+  "Ấ": "Ấ",
+  "Ầ": "Ầ",
+  "Ẫ": "Ẫ",
+  "Ȧ": "Ȧ",
+  "Ǡ": "Ǡ",
+  "Å": "Å",
+  "Ǻ": "Ǻ",
+  "Ḃ": "Ḃ",
+  "Ć": "Ć",
+  "Č": "Č",
+  "Ĉ": "Ĉ",
+  "Ċ": "Ċ",
+  "Ď": "Ď",
+  "Ḋ": "Ḋ",
+  "É": "É",
+  "È": "È",
+  "Ë": "Ë",
+  "Ẽ": "Ẽ",
+  "Ē": "Ē",
+  "Ḗ": "Ḗ",
+  "Ḕ": "Ḕ",
+  "Ĕ": "Ĕ",
+  "Ě": "Ě",
+  "Ê": "Ê",
+  "Ế": "Ế",
+  "Ề": "Ề",
+  "Ễ": "Ễ",
+  "Ė": "Ė",
+  "Ḟ": "Ḟ",
+  "Ǵ": "Ǵ",
+  "Ḡ": "Ḡ",
+  "Ğ": "Ğ",
+  "Ǧ": "Ǧ",
+  "Ĝ": "Ĝ",
+  "Ġ": "Ġ",
+  "Ḧ": "Ḧ",
+  "Ȟ": "Ȟ",
+  "Ĥ": "Ĥ",
+  "Ḣ": "Ḣ",
+  "Í": "Í",
+  "Ì": "Ì",
+  "Ï": "Ï",
+  "Ḯ": "Ḯ",
+  "Ĩ": "Ĩ",
+  "Ī": "Ī",
+  "Ĭ": "Ĭ",
+  "Ǐ": "Ǐ",
+  "Î": "Î",
+  "İ": "İ",
+  "Ĵ": "Ĵ",
+  "Ḱ": "Ḱ",
+  "Ǩ": "Ǩ",
+  "Ĺ": "Ĺ",
+  "Ľ": "Ľ",
+  "Ḿ": "Ḿ",
+  "Ṁ": "Ṁ",
+  "Ń": "Ń",
+  "Ǹ": "Ǹ",
+  "Ñ": "Ñ",
+  "Ň": "Ň",
+  "Ṅ": "Ṅ",
+  "Ó": "Ó",
+  "Ò": "Ò",
+  "Ö": "Ö",
+  "Ȫ": "Ȫ",
+  "Õ": "Õ",
+  "Ṍ": "Ṍ",
+  "Ṏ": "Ṏ",
+  "Ȭ": "Ȭ",
+  "Ō": "Ō",
+  "Ṓ": "Ṓ",
+  "Ṑ": "Ṑ",
+  "Ŏ": "Ŏ",
+  "Ǒ": "Ǒ",
+  "Ô": "Ô",
+  "Ố": "Ố",
+  "Ồ": "Ồ",
+  "Ỗ": "Ỗ",
+  "Ȯ": "Ȯ",
+  "Ȱ": "Ȱ",
+  "Ő": "Ő",
+  "Ṕ": "Ṕ",
+  "Ṗ": "Ṗ",
+  "Ŕ": "Ŕ",
+  "Ř": "Ř",
+  "Ṙ": "Ṙ",
+  "Ś": "Ś",
+  "Ṥ": "Ṥ",
+  "Š": "Š",
+  "Ṧ": "Ṧ",
+  "Ŝ": "Ŝ",
+  "Ṡ": "Ṡ",
+  "Ť": "Ť",
+  "Ṫ": "Ṫ",
+  "Ú": "Ú",
+  "Ù": "Ù",
+  "Ü": "Ü",
+  "Ǘ": "Ǘ",
+  "Ǜ": "Ǜ",
+  "Ǖ": "Ǖ",
+  "Ǚ": "Ǚ",
+  "Ũ": "Ũ",
+  "Ṹ": "Ṹ",
+  "Ū": "Ū",
+  "Ṻ": "Ṻ",
+  "Ŭ": "Ŭ",
+  "Ǔ": "Ǔ",
+  "Û": "Û",
+  "Ů": "Ů",
+  "Ű": "Ű",
+  "Ṽ": "Ṽ",
+  "Ẃ": "Ẃ",
+  "Ẁ": "Ẁ",
+  "Ẅ": "Ẅ",
+  "Ŵ": "Ŵ",
+  "Ẇ": "Ẇ",
+  "Ẍ": "Ẍ",
+  "Ẋ": "Ẋ",
+  "Ý": "Ý",
+  "Ỳ": "Ỳ",
+  "Ÿ": "Ÿ",
+  "Ỹ": "Ỹ",
+  "Ȳ": "Ȳ",
+  "Ŷ": "Ŷ",
+  "Ẏ": "Ẏ",
+  "Ź": "Ź",
+  "Ž": "Ž",
+  "Ẑ": "Ẑ",
+  "Ż": "Ż",
+  "ά": "ά",
+  "ὰ": "ὰ",
+  "ᾱ": "ᾱ",
+  "ᾰ": "ᾰ",
+  "έ": "έ",
+  "ὲ": "ὲ",
+  "ή": "ή",
+  "ὴ": "ὴ",
+  "ί": "ί",
+  "ὶ": "ὶ",
+  "ϊ": "ϊ",
+  "ΐ": "ΐ",
+  "ῒ": "ῒ",
+  "ῑ": "ῑ",
+  "ῐ": "ῐ",
+  "ό": "ό",
+  "ὸ": "ὸ",
+  "ύ": "ύ",
+  "ὺ": "ὺ",
+  "ϋ": "ϋ",
+  "ΰ": "ΰ",
+  "ῢ": "ῢ",
+  "ῡ": "ῡ",
+  "ῠ": "ῠ",
+  "ώ": "ώ",
+  "ὼ": "ὼ",
+  "Ύ": "Ύ",
+  "Ὺ": "Ὺ",
+  "Ϋ": "Ϋ",
+  "Ῡ": "Ῡ",
+  "Ῠ": "Ῠ",
+  "Ώ": "Ώ",
+  "Ὼ": "Ὼ"
+};
+
+/**
+ * This file contains the parser used to parse out a TeX expression from the
+ * input. Since TeX isn't context-free, standard parsers don't work particularly
+ * well.
+ *
+ * The strategy of this parser is as such:
+ *
+ * The main functions (the `.parse...` ones) take a position in the current
+ * parse string to parse tokens from. The lexer (found in Lexer.js, stored at
+ * this.gullet.lexer) also supports pulling out tokens at arbitrary places. When
+ * individual tokens are needed at a position, the lexer is called to pull out a
+ * token, which is then used.
+ *
+ * The parser has a property called "mode" indicating the mode that
+ * the parser is currently in. Currently it has to be one of "math" or
+ * "text", which denotes whether the current environment is a math-y
+ * one or a text-y one (e.g. inside \text). Currently, this serves to
+ * limit the functions which can be used in text mode.
+ *
+ * The main functions then return an object which contains the useful data that
+ * was parsed at its given point, and a new position at the end of the parsed
+ * data. The main functions can call each other and continue the parsing by
+ * using the returned position as a new starting point.
+ *
+ * There are also extra `.handle...` functions, which pull out some reused
+ * functionality into self-contained functions.
+ *
+ * The functions return ParseNodes.
+ */
+var Parser_Parser =
+/*#__PURE__*/
+function () {
+  function Parser(input, settings) {
+    this.mode = void 0;
+    this.gullet = void 0;
+    this.settings = void 0;
+    this.leftrightDepth = void 0;
+    this.nextToken = void 0;
+    // Start in math mode
+    this.mode = "math"; // Create a new macro expander (gullet) and (indirectly via that) also a
+    // new lexer (mouth) for this parser (stomach, in the language of TeX)
+
+    this.gullet = new MacroExpander_MacroExpander(input, settings, this.mode); // Store the settings for use in parsing
+
+    this.settings = settings; // Count leftright depth (for \middle errors)
+
+    this.leftrightDepth = 0;
+  }
+  /**
+   * Checks a result to make sure it has the right type, and throws an
+   * appropriate error otherwise.
+   */
+
+
+  var _proto = Parser.prototype;
+
+  _proto.expect = function expect(text, consume) {
+    if (consume === void 0) {
+      consume = true;
+    }
+
+    if (this.fetch().text !== text) {
+      throw new src_ParseError("Expected '" + text + "', got '" + this.fetch().text + "'", this.fetch());
+    }
+
+    if (consume) {
+      this.consume();
+    }
+  }
+  /**
+   * Discards the current lookahead token, considering it consumed.
+   */
+  ;
+
+  _proto.consume = function consume() {
+    this.nextToken = null;
+  }
+  /**
+   * Return the current lookahead token, or if there isn't one (at the
+   * beginning, or if the previous lookahead token was consume()d),
+   * fetch the next token as the new lookahead token and return it.
+   */
+  ;
+
+  _proto.fetch = function fetch() {
+    if (this.nextToken == null) {
+      this.nextToken = this.gullet.expandNextToken();
+    }
+
+    return this.nextToken;
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+  ;
+
+  _proto.switchMode = function switchMode(newMode) {
+    this.mode = newMode;
+    this.gullet.switchMode(newMode);
+  }
+  /**
+   * Main parsing function, which parses an entire input.
+   */
+  ;
+
+  _proto.parse = function parse() {
+    if (!this.settings.globalGroup) {
+      // Create a group namespace for the math expression.
+      // (LaTeX creates a new group for every $...$, $$...$$, \[...\].)
+      this.gullet.beginGroup();
+    } // Use old \color behavior (same as LaTeX's \textcolor) if requested.
+    // We do this within the group for the math expression, so it doesn't
+    // pollute settings.macros.
+
+
+    if (this.settings.colorIsTextColor) {
+      this.gullet.macros.set("\\color", "\\textcolor");
+    } // Try to parse the input
+
+
+    var parse = this.parseExpression(false); // If we succeeded, make sure there's an EOF at the end
+
+    this.expect("EOF"); // End the group namespace for the expression
+
+    if (!this.settings.globalGroup) {
+      this.gullet.endGroup();
+    }
+
+    return parse;
+  };
+
+  _proto.parseExpression = function parseExpression(breakOnInfix, breakOnTokenText) {
+    var body = []; // Keep adding atoms to the body until we can't parse any more atoms (either
+    // we reached the end, a }, or a \right)
+
+    while (true) {
+      // Ignore spaces in math mode
+      if (this.mode === "math") {
+        this.consumeSpaces();
+      }
+
+      var lex = this.fetch();
+
+      if (Parser.endOfExpression.indexOf(lex.text) !== -1) {
+        break;
+      }
+
+      if (breakOnTokenText && lex.text === breakOnTokenText) {
+        break;
+      }
+
+      if (breakOnInfix && src_functions[lex.text] && src_functions[lex.text].infix) {
+        break;
+      }
+
+      var atom = this.parseAtom(breakOnTokenText);
+
+      if (!atom) {
+        break;
+      } else if (atom.type === "internal") {
+        continue;
+      }
+
+      body.push(atom);
+    }
+
+    if (this.mode === "text") {
+      this.formLigatures(body);
+    }
+
+    return this.handleInfixNodes(body);
+  }
+  /**
+   * Rewrites infix operators such as \over with corresponding commands such
+   * as \frac.
+   *
+   * There can only be one infix operator per group.  If there's more than one
+   * then the expression is ambiguous.  This can be resolved by adding {}.
+   */
+  ;
+
+  _proto.handleInfixNodes = function handleInfixNodes(body) {
+    var overIndex = -1;
+    var funcName;
+
+    for (var i = 0; i < body.length; i++) {
+      if (body[i].type === "infix") {
+        if (overIndex !== -1) {
+          throw new src_ParseError("only one infix operator per group", body[i].token);
+        }
+
+        overIndex = i;
+        funcName = body[i].replaceWith;
+      }
+    }
+
+    if (overIndex !== -1 && funcName) {
+      var numerNode;
+      var denomNode;
+      var numerBody = body.slice(0, overIndex);
+      var denomBody = body.slice(overIndex + 1);
+
+      if (numerBody.length === 1 && numerBody[0].type === "ordgroup") {
+        numerNode = numerBody[0];
+      } else {
+        numerNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: numerBody
+        };
+      }
+
+      if (denomBody.length === 1 && denomBody[0].type === "ordgroup") {
+        denomNode = denomBody[0];
+      } else {
+        denomNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: denomBody
+        };
+      }
+
+      var node;
+
+      if (funcName === "\\\\abovefrac") {
+        node = this.callFunction(funcName, [numerNode, body[overIndex], denomNode], []);
+      } else {
+        node = this.callFunction(funcName, [numerNode, denomNode], []);
+      }
+
+      return [node];
+    } else {
+      return body;
+    }
+  } // The greediness of a superscript or subscript
+  ;
+
+  /**
+   * Handle a subscript or superscript with nice errors.
+   */
+  _proto.handleSupSubscript = function handleSupSubscript(name) {
+    var symbolToken = this.fetch();
+    var symbol = symbolToken.text;
+    this.consume();
+    var group = this.parseGroup(name, false, Parser.SUPSUB_GREEDINESS, undefined, undefined, true); // ignore spaces before sup/subscript argument
+
+    if (!group) {
+      throw new src_ParseError("Expected group after '" + symbol + "'", symbolToken);
+    }
+
+    return group;
+  }
+  /**
+   * Converts the textual input of an unsupported command into a text node
+   * contained within a color node whose color is determined by errorColor
+   */
+  ;
+
+  _proto.formatUnsupportedCmd = function formatUnsupportedCmd(text) {
+    var textordArray = [];
+
+    for (var i = 0; i < text.length; i++) {
+      textordArray.push({
+        type: "textord",
+        mode: "text",
+        text: text[i]
+      });
+    }
+
+    var textNode = {
+      type: "text",
+      mode: this.mode,
+      body: textordArray
+    };
+    var colorNode = {
+      type: "color",
+      mode: this.mode,
+      color: this.settings.errorColor,
+      body: [textNode]
+    };
+    return colorNode;
+  }
+  /**
+   * Parses a group with optional super/subscripts.
+   */
+  ;
+
+  _proto.parseAtom = function parseAtom(breakOnTokenText) {
+    // The body of an atom is an implicit group, so that things like
+    // \left(x\right)^2 work correctly.
+    var base = this.parseGroup("atom", false, null, breakOnTokenText); // In text mode, we don't have superscripts or subscripts
+
+    if (this.mode === "text") {
+      return base;
+    } // Note that base may be empty (i.e. null) at this point.
+
+
+    var superscript;
+    var subscript;
+
+    while (true) {
+      // Guaranteed in math mode, so eat any spaces first.
+      this.consumeSpaces(); // Lex the first token
+
+      var lex = this.fetch();
+
+      if (lex.text === "\\limits" || lex.text === "\\nolimits") {
+        // We got a limit control
+        if (base && base.type === "op") {
+          var limits = lex.text === "\\limits";
+          base.limits = limits;
+          base.alwaysHandleSupSub = true;
+        } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub) {
+          var _limits = lex.text === "\\limits";
+
+          base.limits = _limits;
+        } else {
+          throw new src_ParseError("Limit controls must follow a math operator", lex);
+        }
+
+        this.consume();
+      } else if (lex.text === "^") {
+        // We got a superscript start
+        if (superscript) {
+          throw new src_ParseError("Double superscript", lex);
+        }
+
+        superscript = this.handleSupSubscript("superscript");
+      } else if (lex.text === "_") {
+        // We got a subscript start
+        if (subscript) {
+          throw new src_ParseError("Double subscript", lex);
+        }
+
+        subscript = this.handleSupSubscript("subscript");
+      } else if (lex.text === "'") {
+        // We got a prime
+        if (superscript) {
+          throw new src_ParseError("Double superscript", lex);
+        }
+
+        var prime = {
+          type: "textord",
+          mode: this.mode,
+          text: "\\prime"
+        }; // Many primes can be grouped together, so we handle this here
+
+        var primes = [prime];
+        this.consume(); // Keep lexing tokens until we get something that's not a prime
+
+        while (this.fetch().text === "'") {
+          // For each one, add another prime to the list
+          primes.push(prime);
+          this.consume();
+        } // If there's a superscript following the primes, combine that
+        // superscript in with the primes.
+
+
+        if (this.fetch().text === "^") {
+          primes.push(this.handleSupSubscript("superscript"));
+        } // Put everything into an ordgroup as the superscript
+
+
+        superscript = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: primes
+        };
+      } else {
+        // If it wasn't ^, _, or ', stop parsing super/subscripts
+        break;
+      }
+    } // Base must be set if superscript or subscript are set per logic above,
+    // but need to check here for type check to pass.
+
+
+    if (superscript || subscript) {
+      // If we got either a superscript or subscript, create a supsub
+      return {
+        type: "supsub",
+        mode: this.mode,
+        base: base,
+        sup: superscript,
+        sub: subscript
+      };
+    } else {
+      // Otherwise return the original body
+      return base;
+    }
+  }
+  /**
+   * Parses an entire function, including its base and all of its arguments.
+   */
+  ;
+
+  _proto.parseFunction = function parseFunction(breakOnTokenText, name, // For error reporting.
+  greediness) {
+    var token = this.fetch();
+    var func = token.text;
+    var funcData = src_functions[func];
+
+    if (!funcData) {
+      return null;
+    }
+
+    this.consume(); // consume command token
+
+    if (greediness != null && funcData.greediness <= greediness) {
+      throw new src_ParseError("Got function '" + func + "' with no arguments" + (name ? " as " + name : ""), token);
+    } else if (this.mode === "text" && !funcData.allowedInText) {
+      throw new src_ParseError("Can't use function '" + func + "' in text mode", token);
+    } else if (this.mode === "math" && funcData.allowedInMath === false) {
+      throw new src_ParseError("Can't use function '" + func + "' in math mode", token);
+    }
+
+    var _this$parseArguments = this.parseArguments(func, funcData),
+        args = _this$parseArguments.args,
+        optArgs = _this$parseArguments.optArgs;
+
+    return this.callFunction(func, args, optArgs, token, breakOnTokenText);
+  }
+  /**
+   * Call a function handler with a suitable context and arguments.
+   */
+  ;
+
+  _proto.callFunction = function callFunction(name, args, optArgs, token, breakOnTokenText) {
+    var context = {
+      funcName: name,
+      parser: this,
+      token: token,
+      breakOnTokenText: breakOnTokenText
+    };
+    var func = src_functions[name];
+
+    if (func && func.handler) {
+      return func.handler(context, args, optArgs);
+    } else {
+      throw new src_ParseError("No function handler for " + name);
+    }
+  }
+  /**
+   * Parses the arguments of a function or environment
+   */
+  ;
+
+  _proto.parseArguments = function parseArguments(func, // Should look like "\name" or "\begin{name}".
+  funcData) {
+    var totalArgs = funcData.numArgs + funcData.numOptionalArgs;
+
+    if (totalArgs === 0) {
+      return {
+        args: [],
+        optArgs: []
+      };
+    }
+
+    var baseGreediness = funcData.greediness;
+    var args = [];
+    var optArgs = [];
+
+    for (var i = 0; i < totalArgs; i++) {
+      var argType = funcData.argTypes && funcData.argTypes[i];
+      var isOptional = i < funcData.numOptionalArgs; // Ignore spaces between arguments.  As the TeXbook says:
+      // "After you have said ‘\def\row#1#2{...}’, you are allowed to
+      //  put spaces between the arguments (e.g., ‘\row x n’), because
+      //  TeX doesn’t use single spaces as undelimited arguments."
+
+      var consumeSpaces = i > 0 && !isOptional || // Also consume leading spaces in math mode, as parseSymbol
+      // won't know what to do with them.  This can only happen with
+      // macros, e.g. \frac\foo\foo where \foo expands to a space symbol.
+      // In LaTeX, the \foo's get treated as (blank) arguments.
+      // In KaTeX, for now, both spaces will get consumed.
+      // TODO(edemaine)
+      i === 0 && !isOptional && this.mode === "math";
+      var arg = this.parseGroupOfType("argument to '" + func + "'", argType, isOptional, baseGreediness, consumeSpaces);
+
+      if (!arg) {
+        if (isOptional) {
+          optArgs.push(null);
+          continue;
+        }
+
+        throw new src_ParseError("Expected group after '" + func + "'", this.fetch());
+      }
+
+      (isOptional ? optArgs : args).push(arg);
+    }
+
+    return {
+      args: args,
+      optArgs: optArgs
+    };
+  }
+  /**
+   * Parses a group when the mode is changing.
+   */
+  ;
+
+  _proto.parseGroupOfType = function parseGroupOfType(name, type, optional, greediness, consumeSpaces) {
+    switch (type) {
+      case "color":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseColorGroup(optional);
+
+      case "size":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseSizeGroup(optional);
+
+      case "url":
+        return this.parseUrlGroup(optional, consumeSpaces);
+
+      case "math":
+      case "text":
+        return this.parseGroup(name, optional, greediness, undefined, type, consumeSpaces);
+
+      case "hbox":
+        {
+          // hbox argument type wraps the argument in the equivalent of
+          // \hbox, which is like \text but switching to \textstyle size.
+          var group = this.parseGroup(name, optional, greediness, undefined, "text", consumeSpaces);
+
+          if (!group) {
+            return group;
+          }
+
+          var styledGroup = {
+            type: "styling",
+            mode: group.mode,
+            body: [group],
+            style: "text" // simulate \textstyle
+
+          };
+          return styledGroup;
+        }
+
+      case "raw":
+        {
+          if (consumeSpaces) {
+            this.consumeSpaces();
+          }
+
+          if (optional && this.fetch().text === "{") {
+            return null;
+          }
+
+          var token = this.parseStringGroup("raw", optional, true);
+
+          if (token) {
+            return {
+              type: "raw",
+              mode: "text",
+              string: token.text
+            };
+          } else {
+            throw new src_ParseError("Expected raw group", this.fetch());
+          }
+        }
+
+      case "original":
+      case null:
+      case undefined:
+        return this.parseGroup(name, optional, greediness, undefined, undefined, consumeSpaces);
+
+      default:
+        throw new src_ParseError("Unknown group type as " + name, this.fetch());
+    }
+  }
+  /**
+   * Discard any space tokens, fetching the next non-space token.
+   */
+  ;
+
+  _proto.consumeSpaces = function consumeSpaces() {
+    while (this.fetch().text === " ") {
+      this.consume();
+    }
+  }
+  /**
+   * Parses a group, essentially returning the string formed by the
+   * brace-enclosed tokens plus some position information.
+   */
+  ;
+
+  _proto.parseStringGroup = function parseStringGroup(modeName, // Used to describe the mode in error messages.
+  optional, raw) {
+    var groupBegin = optional ? "[" : "{";
+    var groupEnd = optional ? "]" : "}";
+    var beginToken = this.fetch();
+
+    if (beginToken.text !== groupBegin) {
+      if (optional) {
+        return null;
+      } else if (raw && beginToken.text !== "EOF" && /[^{}[\]]/.test(beginToken.text)) {
+        this.consume();
+        return beginToken;
+      }
+    }
+
+    var outerMode = this.mode;
+    this.mode = "text";
+    this.expect(groupBegin);
+    var str = "";
+    var firstToken = this.fetch();
+    var nested = 0; // allow nested braces in raw string group
+
+    var lastToken = firstToken;
+    var nextToken;
+
+    while ((nextToken = this.fetch()).text !== groupEnd || raw && nested > 0) {
+      switch (nextToken.text) {
+        case "EOF":
+          throw new src_ParseError("Unexpected end of input in " + modeName, firstToken.range(lastToken, str));
+
+        case groupBegin:
+          nested++;
+          break;
+
+        case groupEnd:
+          nested--;
+          break;
+      }
+
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    this.expect(groupEnd);
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a regex-delimited group: the largest sequence of tokens
+   * whose concatenated strings match `regex`. Returns the string
+   * formed by the tokens plus some position information.
+   */
+  ;
+
+  _proto.parseRegexGroup = function parseRegexGroup(regex, modeName) {
+    var outerMode = this.mode;
+    this.mode = "text";
+    var firstToken = this.fetch();
+    var lastToken = firstToken;
+    var str = "";
+    var nextToken;
+
+    while ((nextToken = this.fetch()).text !== "EOF" && regex.test(str + nextToken.text)) {
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    if (str === "") {
+      throw new src_ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken);
+    }
+
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a color description.
+   */
+  ;
+
+  _proto.parseColorGroup = function parseColorGroup(optional) {
+    var res = this.parseStringGroup("color", optional);
+
+    if (!res) {
+      return null;
+    }
+
+    var match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text);
+
+    if (!match) {
+      throw new src_ParseError("Invalid color: '" + res.text + "'", res);
+    }
+
+    var color = match[0];
+
+    if (/^[0-9a-f]{6}$/i.test(color)) {
+      // We allow a 6-digit HTML color spec without a leading "#".
+      // This follows the xcolor package's HTML color model.
+      // Predefined color names are all missed by this RegEx pattern.
+      color = "#" + color;
+    }
+
+    return {
+      type: "color-token",
+      mode: this.mode,
+      color: color
+    };
+  }
+  /**
+   * Parses a size specification, consisting of magnitude and unit.
+   */
+  ;
+
+  _proto.parseSizeGroup = function parseSizeGroup(optional) {
+    var res;
+    var isBlank = false;
+
+    if (!optional && this.fetch().text !== "{") {
+      res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size");
+    } else {
+      res = this.parseStringGroup("size", optional);
+    }
+
+    if (!res) {
+      return null;
+    }
+
+    if (!optional && res.text.length === 0) {
+      // Because we've tested for what is !optional, this block won't
+      // affect \kern, \hspace, etc. It will capture the mandatory arguments
+      // to \genfrac and \above.
+      res.text = "0pt"; // Enable \above{}
+
+      isBlank = true; // This is here specifically for \genfrac
+    }
+
+    var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text);
+
+    if (!match) {
+      throw new src_ParseError("Invalid size: '" + res.text + "'", res);
+    }
+
+    var data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new src_ParseError("Invalid unit: '" + data.unit + "'", res);
+    }
+
+    return {
+      type: "size",
+      mode: this.mode,
+      value: data,
+      isBlank: isBlank
+    };
+  }
+  /**
+   * Parses an URL, checking escaped letters and allowed protocols,
+   * and setting the catcode of % as an active character (as in \hyperref).
+   */
+  ;
+
+  _proto.parseUrlGroup = function parseUrlGroup(optional, consumeSpaces) {
+    this.gullet.lexer.setCatcode("%", 13); // active character
+
+    var res = this.parseStringGroup("url", optional, true); // get raw string
+
+    this.gullet.lexer.setCatcode("%", 14); // comment character
+
+    if (!res) {
+      return null;
+    } // hyperref package allows backslashes alone in href, but doesn't
+    // generate valid links in such cases; we interpret this as
+    // "undefined" behaviour, and keep them as-is. Some browser will
+    // replace backslashes with forward slashes.
+
+
+    var url = res.text.replace(/\\([#$%&~_^{}])/g, '$1');
+    return {
+      type: "url",
+      mode: this.mode,
+      url: url
+    };
+  }
+  /**
+   * If `optional` is false or absent, this parses an ordinary group,
+   * which is either a single nucleus (like "x") or an expression
+   * in braces (like "{x+y}") or an implicit group, a group that starts
+   * at the current position, and ends right before a higher explicit
+   * group ends, or at EOF.
+   * If `optional` is true, it parses either a bracket-delimited expression
+   * (like "[x+y]") or returns null to indicate the absence of a
+   * bracket-enclosed group.
+   * If `mode` is present, switches to that mode while parsing the group,
+   * and switches back after.
+   */
+  ;
+
+  _proto.parseGroup = function parseGroup(name, // For error reporting.
+  optional, greediness, breakOnTokenText, mode, consumeSpaces) {
+    // Switch to specified mode
+    var outerMode = this.mode;
+
+    if (mode) {
+      this.switchMode(mode);
+    } // Consume spaces if requested, crucially *after* we switch modes,
+    // so that the next non-space token is parsed in the correct mode.
+
+
+    if (consumeSpaces) {
+      this.consumeSpaces();
+    } // Get first token
+
+
+    var firstToken = this.fetch();
+    var text = firstToken.text;
+    var result; // Try to parse an open brace or \begingroup
+
+    if (optional ? text === "[" : text === "{" || text === "\\begingroup") {
+      this.consume();
+      var groupEnd = Parser.endOfGroup[text]; // Start a new group namespace
+
+      this.gullet.beginGroup(); // If we get a brace, parse an expression
+
+      var expression = this.parseExpression(false, groupEnd);
+      var lastToken = this.fetch(); // Check that we got a matching closing brace
+
+      this.expect(groupEnd); // End group namespace
+
+      this.gullet.endGroup();
+      result = {
+        type: "ordgroup",
+        mode: this.mode,
+        loc: SourceLocation.range(firstToken, lastToken),
+        body: expression,
+        // A group formed by \begingroup...\endgroup is a semi-simple group
+        // which doesn't affect spacing in math mode, i.e., is transparent.
+        // https://tex.stackexchange.com/questions/1930/when-should-one-
+        // use-begingroup-instead-of-bgroup
+        semisimple: text === "\\begingroup" || undefined
+      };
+    } else if (optional) {
+      // Return nothing for an optional group
+      result = null;
+    } else {
+      // If there exists a function with this name, parse the function.
+      // Otherwise, just return a nucleus
+      result = this.parseFunction(breakOnTokenText, name, greediness) || this.parseSymbol();
+
+      if (result == null && text[0] === "\\" && !implicitCommands.hasOwnProperty(text)) {
+        if (this.settings.throwOnError) {
+          throw new src_ParseError("Undefined control sequence: " + text, firstToken);
+        }
+
+        result = this.formatUnsupportedCmd(text);
+        this.consume();
+      }
+    } // Switch mode back
+
+
+    if (mode) {
+      this.switchMode(outerMode);
+    }
+
+    return result;
+  }
+  /**
+   * Form ligature-like combinations of characters for text mode.
+   * This includes inputs like "--", "---", "``" and "''".
+   * The result will simply replace multiple textord nodes with a single
+   * character in each value by a single textord node having multiple
+   * characters in its value.  The representation is still ASCII source.
+   * The group will be modified in place.
+   */
+  ;
+
+  _proto.formLigatures = function formLigatures(group) {
+    var n = group.length - 1;
+
+    for (var i = 0; i < n; ++i) {
+      var a = group[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+      var v = a.text;
+
+      if (v === "-" && group[i + 1].text === "-") {
+        if (i + 1 < n && group[i + 2].text === "-") {
+          group.splice(i, 3, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 2]),
+            text: "---"
+          });
+          n -= 2;
+        } else {
+          group.splice(i, 2, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 1]),
+            text: "--"
+          });
+          n -= 1;
+        }
+      }
+
+      if ((v === "'" || v === "`") && group[i + 1].text === v) {
+        group.splice(i, 2, {
+          type: "textord",
+          mode: "text",
+          loc: SourceLocation.range(a, group[i + 1]),
+          text: v + v
+        });
+        n -= 1;
+      }
+    }
+  }
+  /**
+   * Parse a single symbol out of the string. Here, we handle single character
+   * symbols and special functions like \verb.
+   */
+  ;
+
+  _proto.parseSymbol = function parseSymbol() {
+    var nucleus = this.fetch();
+    var text = nucleus.text;
+
+    if (/^\\verb[^a-zA-Z]/.test(text)) {
+      this.consume();
+      var arg = text.slice(5);
+      var star = arg.charAt(0) === "*";
+
+      if (star) {
+        arg = arg.slice(1);
+      } // Lexer's tokenRegex is constructed to always have matching
+      // first/last characters.
+
+
+      if (arg.length < 2 || arg.charAt(0) !== arg.slice(-1)) {
+        throw new src_ParseError("\\verb assertion failed --\n                    please report what input caused this bug");
+      }
+
+      arg = arg.slice(1, -1); // remove first and last char
+
+      return {
+        type: "verb",
+        mode: "text",
+        body: arg,
+        star: star
+      };
+    } // At this point, we should have a symbol, possibly with accents.
+    // First expand any accented base symbol according to unicodeSymbols.
+
+
+    if (unicodeSymbols.hasOwnProperty(text[0]) && !src_symbols[this.mode][text[0]]) {
+      // This behavior is not strict (XeTeX-compatible) in math mode.
+      if (this.settings.strict && this.mode === "math") {
+        this.settings.reportNonstrict("unicodeTextInMathMode", "Accented Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus);
+      }
+
+      text = unicodeSymbols[text[0]] + text.substr(1);
+    } // Strip off any combining characters
+
+
+    var match = combiningDiacriticalMarksEndRegex.exec(text);
+
+    if (match) {
+      text = text.substring(0, match.index);
+
+      if (text === 'i') {
+        text = "\u0131"; // dotless i, in math and text mode
+      } else if (text === 'j') {
+        text = "\u0237"; // dotless j, in math and text mode
+      }
+    } // Recognize base symbol
+
+
+    var symbol;
+
+    if (src_symbols[this.mode][text]) {
+      if (this.settings.strict && this.mode === 'math' && extraLatin.indexOf(text) >= 0) {
+        this.settings.reportNonstrict("unicodeTextInMathMode", "Latin-1/Unicode text character \"" + text[0] + "\" used in " + "math mode", nucleus);
+      }
+
+      var group = src_symbols[this.mode][text].group;
+      var loc = SourceLocation.range(nucleus);
+      var s;
+
+      if (ATOMS.hasOwnProperty(group)) {
+        // $FlowFixMe
+        var family = group;
+        s = {
+          type: "atom",
+          mode: this.mode,
+          family: family,
+          loc: loc,
+          text: text
+        };
+      } else {
+        // $FlowFixMe
+        s = {
+          type: group,
+          mode: this.mode,
+          loc: loc,
+          text: text
+        };
+      }
+
+      symbol = s;
+    } else if (text.charCodeAt(0) >= 0x80) {
+      // no symbol for e.g. ^
+      if (this.settings.strict) {
+        if (!supportedCodepoint(text.charCodeAt(0))) {
+          this.settings.reportNonstrict("unknownSymbol", "Unrecognized Unicode character \"" + text[0] + "\"" + (" (" + text.charCodeAt(0) + ")"), nucleus);
+        } else if (this.mode === "math") {
+          this.settings.reportNonstrict("unicodeTextInMathMode", "Unicode text character \"" + text[0] + "\" used in math mode", nucleus);
+        }
+      } // All nonmathematical Unicode characters are rendered as if they
+      // are in text mode (wrapped in \text) because that's what it
+      // takes to render them in LaTeX.  Setting `mode: this.mode` is
+      // another natural choice (the user requested math mode), but
+      // this makes it more difficult for getCharacterMetrics() to
+      // distinguish Unicode characters without metrics and those for
+      // which we want to simulate the letter M.
+
+
+      symbol = {
+        type: "textord",
+        mode: "text",
+        loc: SourceLocation.range(nucleus),
+        text: text
+      };
+    } else {
+      return null; // EOF, ^, _, {, }, etc.
+    }
+
+    this.consume(); // Transform combining characters into accents
+
+    if (match) {
+      for (var i = 0; i < match[0].length; i++) {
+        var accent = match[0][i];
+
+        if (!unicodeAccents[accent]) {
+          throw new src_ParseError("Unknown accent ' " + accent + "'", nucleus);
+        }
+
+        var command = unicodeAccents[accent][this.mode];
+
+        if (!command) {
+          throw new src_ParseError("Accent " + accent + " unsupported in " + this.mode + " mode", nucleus);
+        }
+
+        symbol = {
+          type: "accent",
+          mode: this.mode,
+          loc: SourceLocation.range(nucleus),
+          label: command,
+          isStretchy: false,
+          isShifty: true,
+          base: symbol
+        };
+      }
+    }
+
+    return symbol;
+  };
+
+  return Parser;
+}();
+
+Parser_Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
+Parser_Parser.endOfGroup = {
+  "[": "]",
+  "{": "}",
+  "\\begingroup": "\\endgroup"
+  /**
+   * Parses an "expression", which is a list of atoms.
+   *
+   * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This
+   *                 happens when functions have higher precendence han infix
+   *                 nodes in implicit parses.
+   *
+   * `breakOnTokenText`: The text of the token that the expression should end
+   *                     with, or `null` if something else should end the
+   *                     expression.
+   */
+
+};
+Parser_Parser.SUPSUB_GREEDINESS = 1;
+
+// CONCATENATED MODULE: ./src/parseTree.js
+/**
+ * Provides a single function for parsing an expression using a Parser
+ * TODO(emily): Remove this
+ */
+
+
+
+/**
+ * Parses an expression using a Parser, then returns the parsed result.
+ */
+var parseTree_parseTree = function parseTree(toParse, settings) {
+  if (!(typeof toParse === 'string' || toParse instanceof String)) {
+    throw new TypeError('KaTeX can only parse string typed expression');
+  }
+
+  var parser = new Parser_Parser(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors
+
+  delete parser.gullet.macros.current["\\df@tag"];
+  var tree = parser.parse(); // If the input used \tag, it will set the \df@tag macro to the tag.
+  // In this case, we separately parse the tag and wrap the tree.
+
+  if (parser.gullet.macros.get("\\df@tag")) {
+    if (!settings.displayMode) {
+      throw new src_ParseError("\\tag works only in display equations");
+    }
+
+    parser.gullet.feed("\\df@tag");
+    tree = [{
+      type: "tag",
+      mode: "text",
+      body: tree,
+      tag: parser.parse()
+    }];
+  }
+
+  return tree;
+};
+
+/* harmony default export */ var src_parseTree = (parseTree_parseTree);
+// CONCATENATED MODULE: ./katex.js
+/* eslint no-console:0 */
+
+/**
+ * This is the main entry point for KaTeX. Here, we expose functions for
+ * rendering expressions either to DOM nodes or to markup strings.
+ *
+ * We also expose the ParseError class to check if errors thrown from KaTeX are
+ * errors in the expression, or errors in javascript handling.
+ */
+
+
+
+
+
+
+
+
+
+
+/**
+ * Parse and build an expression, and place that expression in the DOM node
+ * given.
+ */
+var katex_render = function render(expression, baseNode, options) {
+  baseNode.textContent = "";
+  var node = katex_renderToDomTree(expression, options).toNode();
+  baseNode.appendChild(node);
+}; // KaTeX's styles don't work properly in quirks mode. Print out an error, and
+// disable rendering.
+
+
+if (typeof document !== "undefined") {
+  if (document.compatMode !== "CSS1Compat") {
+    typeof console !== "undefined" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your " + "website has a suitable doctype.");
+
+    katex_render = function render() {
+      throw new src_ParseError("KaTeX doesn't work in quirks mode.");
+    };
+  }
+}
+/**
+ * Parse and build an expression, and return the markup for that.
+ */
+
+
+var renderToString = function renderToString(expression, options) {
+  var markup = katex_renderToDomTree(expression, options).toMarkup();
+  return markup;
+};
+/**
+ * Parse an expression and return the parse tree.
+ */
+
+
+var katex_generateParseTree = function generateParseTree(expression, options) {
+  var settings = new Settings_Settings(options);
+  return src_parseTree(expression, settings);
+};
+/**
+ * If the given error is a KaTeX ParseError and options.throwOnError is false,
+ * renders the invalid LaTeX as a span with hover title giving the KaTeX
+ * error message.  Otherwise, simply throws the error.
+ */
+
+
+var katex_renderError = function renderError(error, expression, options) {
+  if (options.throwOnError || !(error instanceof src_ParseError)) {
+    throw error;
+  }
+
+  var node = buildCommon.makeSpan(["katex-error"], [new domTree_SymbolNode(expression)]);
+  node.setAttribute("title", error.toString());
+  node.setAttribute("style", "color:" + options.errorColor);
+  return node;
+};
+/**
+ * Generates and returns the katex build tree. This is used for advanced
+ * use cases (like rendering to custom output).
+ */
+
+
+var katex_renderToDomTree = function renderToDomTree(expression, options) {
+  var settings = new Settings_Settings(options);
+
+  try {
+    var tree = src_parseTree(expression, settings);
+    return buildTree_buildTree(tree, expression, settings);
+  } catch (error) {
+    return katex_renderError(error, expression, settings);
+  }
+};
+/**
+ * Generates and returns the katex build tree, with just HTML (no MathML).
+ * This is used for advanced use cases (like rendering to custom output).
+ */
+
+
+var katex_renderToHTMLTree = function renderToHTMLTree(expression, options) {
+  var settings = new Settings_Settings(options);
+
+  try {
+    var tree = src_parseTree(expression, settings);
+    return buildTree_buildHTMLTree(tree, expression, settings);
+  } catch (error) {
+    return katex_renderError(error, expression, settings);
+  }
+};
+
+/* harmony default export */ var katex_0 = ({
+  /**
+   * Current KaTeX version
+   */
+  version: "0.12.0",
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination, and adds
+   * it as a child to the specified DOM node.
+   */
+  render: katex_render,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination string,
+   * for sending to the client.
+   */
+  renderToString: renderToString,
+
+  /**
+   * KaTeX error, usually during parsing.
+   */
+  ParseError: src_ParseError,
+
+  /**
+   * Parses the given LaTeX into KaTeX's internal parse tree structure,
+   * without rendering to HTML or MathML.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __parse: katex_generateParseTree,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML internal DOM tree
+   * representation, without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToDomTree: katex_renderToDomTree,
+
+  /**
+   * Renders the given LaTeX into an HTML internal DOM tree representation,
+   * without MathML and without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToHTMLTree: katex_renderToHTMLTree,
+
+  /**
+   * extends internal font metrics object with a new object
+   * each key in the new object represents a font name
+  */
+  __setFontMetrics: setFontMetrics,
+
+  /**
+   * adds a new symbol to builtin symbols table
+   */
+  __defineSymbol: defineSymbol,
+
+  /**
+   * adds a new macro to builtin macro list
+   */
+  __defineMacro: defineMacro,
+
+  /**
+   * Expose the dom tree node types, which can be useful for type checking nodes.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __domTree: {
+    Span: domTree_Span,
+    Anchor: domTree_Anchor,
+    SymbolNode: domTree_SymbolNode,
+    SvgNode: SvgNode,
+    PathNode: domTree_PathNode,
+    LineNode: LineNode
+  }
+});
+// CONCATENATED MODULE: ./katex.webpack.js
+/**
+ * This is the webpack entry point for KaTeX. As ECMAScript, flow[1] and jest[2]
+ * doesn't support CSS modules natively, a separate entry point is used and
+ * it is not flowtyped.
+ *
+ * [1] https://gist.github.com/lambdahands/d19e0da96285b749f0ef
+ * [2] https://facebook.github.io/jest/docs/en/webpack.html
+ */
+
+
+/* harmony default export */ var katex_webpack = __webpack_exports__["default"] = (katex_0);
+
+/***/ })
+/******/ ])["default"];
+});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/katex.min.css b/docs/static/katex/v0.12.0/katex.min.css
new file mode 100644
index 000000000..98b7c7bde
--- /dev/null
+++ b/docs/static/katex/v0.12.0/katex.min.css
@@ -0,0 +1 @@
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n=this.fetch();if(-1!==t.endOfExpression.indexOf(n.text))break;if(r&&n.text===r)break;if(e&&ia[n.text]&&ia[n.text].infix)break;var i=this.parseAtom(r);if(!i)break;"internal"!==i.type&&a.push(i)}return"text"===this.mode&&this.formLigatures(a),this.handleInfixNodes(a)},e.handleInfixNodes=function(t){for(var e,r=-1,a=0;a<t.length;a++)if("infix"===t[a].type){if(-1!==r)throw new o("only one infix operator per group",t[a].token);r=a,e=t[a].replaceWith}if(-1!==r&&e){var n,i,s=t.slice(0,r),l=t.slice(r+1);return n=1===s.length&&"ordgroup"===s[0].type?s[0]:{type:"ordgroup",mode:this.mode,body:s},i=1===l.length&&"ordgroup"===l[0].type?l[0]:{type:"ordgroup",mode:this.mode,body:l},["\\\\abovefrac"===e?this.callFunction(e,[n,t[r],i],[]):this.callFunction(e,[n,i],[])]}return t},e.handleSupSubscript=function(e){var r=this.fetch(),a=r.text;this.consume();var n=this.parseGroup(e,!1,t.SUPSUB_GREEDINESS,void 0,void 0,!0);if(!n)throw new o("Expected group after '"+a+"'",r);return n},e.formatUnsupportedCmd=function(t){for(var e=[],r=0;r<t.length;r++)e.push({type:"textord",mode:"text",text:t[r]});var a={type:"text",mode:this.mode,body:e};return{type:"color",mode:this.mode,color:this.settings.errorColor,body:[a]}},e.parseAtom=function(t){var e,r,a=this.parseGroup("atom",!1,null,t);if("text"===this.mode)return a;for(;;){this.consumeSpaces();var n=this.fetch();if("\\limits"===n.text||"\\nolimits"===n.text){if(a&&"op"===a.type){var i="\\limits"===n.text;a.limits=i,a.alwaysHandleSupSub=!0}else{if(!a||"operatorname"!==a.type||!a.alwaysHandleSupSub)throw new o("Limit controls must follow a math operator",n);var s="\\limits"===n.text;a.limits=s}this.consume()}else if("^"===n.text){if(e)throw new o("Double superscript",n);e=this.handleSupSubscript("superscript")}else if("_"===n.text){if(r)throw new o("Double subscript",n);r=this.handleSupSubscript("subscript")}else{if("'"!==n.text)break;if(e)throw new o("Double superscript",n);var l={type:"textord",mode:this.mode,text:"\\prime"},h=[l];for(this.consume();"'"===this.fetch().text;)h.push(l),this.consume();"^"===this.fetch().text&&h.push(this.handleSupSubscript("superscript")),e={type:"ordgroup",mode:this.mode,body:h}}}return e||r?{type:"supsub",mode:this.mode,base:a,sup:e,sub:r}:a},e.parseFunction=function(t,e,r){var a=this.fetch(),n=a.text,i=ia[n];if(!i)return null;if(this.consume(),null!=r&&i.greediness<=r)throw new o("Got function '"+n+"' with no arguments"+(e?" as "+e:""),a);if("text"===this.mode&&!i.allowedInText)throw new o("Can't use function '"+n+"' in text mode",a);if("math"===this.mode&&!1===i.allowedInMath)throw new o("Can't use function '"+n+"' in math mode",a);var s=this.parseArguments(n,i),l=s.args,h=s.optArgs;return this.callFunction(n,l,h,a,t)},e.callFunction=function(t,e,r,a,n){var i={funcName:t,parser:this,token:a,breakOnTokenText:n},s=ia[t];if(s&&s.handler)return s.handler(i,e,r);throw new o("No function handler for "+t)},e.parseArguments=function(t,e){var r=e.numArgs+e.numOptionalArgs;if(0===r)return{args:[],optArgs:[]};for(var a=e.greediness,n=[],i=[],s=0;s<r;s++){var l=e.argTypes&&e.argTypes[s],h=s<e.numOptionalArgs,m=s>0&&!h||0===s&&!h&&"math"===this.mode,c=this.parseGroupOfType("argument to '"+t+"'",l,h,a,m);if(!c){if(h){i.push(null);continue}throw new o("Expected group after '"+t+"'",this.fetch())}(h?i:n).push(c)}return{args:n,optArgs:i}},e.parseGroupOfType=function(t,e,r,a,n){switch(e){case"color":return n&&this.consumeSpaces(),this.parseColorGroup(r);case"size":return n&&this.consumeSpaces(),this.parseSizeGroup(r);case"url":return this.parseUrlGroup(r,n);case"math":case"text":return this.parseGroup(t,r,a,void 0,e,n);case"hbox":var i=this.parseGroup(t,r,a,void 0,"text",n);return i?{type:"styling",mode:i.mode,body:[i],style:"text"}:i;case"raw":if(n&&this.consumeSpaces(),r&&"{"===this.fetch().text)return null;var s=this.parseStringGroup("raw",r,!0);if(s)return{type:"raw",mode:"text",string:s.text};throw new o("Expected raw group",this.fetch());case"original":case null:case void 0:return this.parseGroup(t,r,a,void 0,void 0,n);default:throw new o("Unknown group type as "+t,this.fetch())}},e.consumeSpaces=function(){for(;" "===this.fetch().text;)this.consume()},e.parseStringGroup=function(t,e,r){var a=e?"[":"{",n=e?"]":"}",i=this.fetch();if(i.text!==a){if(e)return null;if(r&&"EOF"!==i.text&&/[^{}[\]]/.test(i.text))return this.consume(),i}var s=this.mode;this.mode="text",this.expect(a);for(var l,h="",m=this.fetch(),c=0,u=m;(l=this.fetch()).text!==n||r&&c>0;){switch(l.text){case"EOF":throw new o("Unexpected end of input in "+t,m.range(u,h));case a:c++;break;case n:c--}h+=(u=l).text,this.consume()}return this.expect(n),this.mode=s,m.range(u,h)},e.parseRegexGroup=function(t,e){var r=this.mode;this.mode="text";for(var a,n=this.fetch(),i=n,s="";"EOF"!==(a=this.fetch()).text&&t.test(s+a.text);)s+=(i=a).text,this.consume();if(""===s)throw new o("Invalid "+e+": '"+n.text+"'",n);return this.mode=r,n.range(i,s)},e.parseColorGroup=function(t){var e=this.parseStringGroup("color",t);if(!e)return null;var r=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(e.text);if(!r)throw new o("Invalid color: '"+e.text+"'",e);var a=r[0];return/^[0-9a-f]{6}$/i.test(a)&&(a="#"+a),{type:"color-token",mode:this.mode,color:a}},e.parseSizeGroup=function(t){var e,r=!1;if(!(e=t||"{"===this.fetch().text?this.parseStringGroup("size",t):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size")))return null;t||0!==e.text.length||(e.text="0pt",r=!0);var a=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(e.text);if(!a)throw new o("Invalid size: '"+e.text+"'",e);var n={number:+(a[1]+a[2]),unit:a[3]};if(!At(n))throw new o("Invalid unit: '"+n.unit+"'",e);return{type:"size",mode:this.mode,value:n,isBlank:r}},e.parseUrlGroup=function(t,e){this.gullet.lexer.setCatcode("%",13);var r=this.parseStringGroup("url",t,!0);if(this.gullet.lexer.setCatcode("%",14),!r)return null;var a=r.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:a}},e.parseGroup=function(e,r,n,i,s,l){var h=this.mode;s&&this.switchMode(s),l&&this.consumeSpaces();var m,c=this.fetch(),u=c.text;if(r?"["===u:"{"===u||"\\begingroup"===u){this.consume();var p=t.endOfGroup[u];this.gullet.beginGroup();var d=this.parseExpression(!1,p),f=this.fetch();this.expect(p),this.gullet.endGroup(),m={type:"ordgroup",mode:this.mode,loc:a.range(c,f),body:d,semisimple:"\\begingroup"===u||void 0}}else if(r)m=null;else if(null==(m=this.parseFunction(i,e,n)||this.parseSymbol())&&"\\"===u[0]&&!ba.hasOwnProperty(u)){if(this.settings.throwOnError)throw new o("Undefined control sequence: "+u,c);m=this.formatUnsupportedCmd(u),this.consume()}return s&&this.switchMode(h),m},e.formLigatures=function(t){for(var e=t.length-1,r=0;r<e;++r){var n=t[r],i=n.text;"-"===i&&"-"===t[r+1].text&&(r+1<e&&"-"===t[r+2].text?(t.splice(r,3,{type:"textord",mode:"text",loc:a.range(n,t[r+2]),text:"---"}),e-=2):(t.splice(r,2,{type:"textord",mode:"text",loc:a.range(n,t[r+1]),text:"--"}),e-=1)),"'"!==i&&"`"!==i||t[r+1].text!==i||(t.splice(r,2,{type:"textord",mode:"text",loc:a.range(n,t[r+1]),text:i+i}),e-=1)}},e.parseSymbol=function(){var t=this.fetch(),e=t.text;if(/^\\verb[^a-zA-Z]/.test(e)){this.consume();var r=e.slice(5),n="*"===r.charAt(0);if(n&&(r=r.slice(1)),r.length<2||r.charAt(0)!==r.slice(-1))throw new o("\\verb assertion failed --\n                    please report what input caused this bug");return{type:"verb",mode:"text",body:r=r.slice(1,-1),star:n}}ka.hasOwnProperty(e[0])&&!j[this.mode][e[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+e[0]+'" used in math mode',t),e=ka[e[0]]+e.substr(1));var i,s=sa.exec(e);if(s&&("i"===(e=e.substring(0,s.index))?e="\u0131":"j"===e&&(e="\u0237")),j[this.mode][e]){this.settings.strict&&"math"===this.mode&&"\xc7\xd0\xde\xe7\xfe".indexOf(e)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+e[0]+'" used in math mode',t);var l,h=j[this.mode][e].group,m=a.range(t);if(W.hasOwnProperty(h)){var c=h;l={type:"atom",mode:this.mode,family:c,loc:m,text:e}}else l={type:h,mode:this.mode,loc:m,text:e};i=l}else{if(!(e.charCodeAt(0)>=128))return null;this.settings.strict&&(M(e.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+e[0]+'" used in math mode',t):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+e[0]+'" ('+e.charCodeAt(0)+")",t)),i={type:"textord",mode:"text",loc:a.range(t),text:e}}if(this.consume(),s)for(var u=0;u<s[0].length;u++){var p=s[0][u];if(!wa[p])throw new o("Unknown accent ' "+p+"'",t);var d=wa[p][this.mode];if(!d)throw new o("Accent "+p+" unsupported in "+this.mode+" mode",t);i={type:"accent",mode:this.mode,loc:a.range(t),label:d,isStretchy:!1,isShifty:!0,base:i}}return i},t}();Sa.endOfExpression=["}","\\endgroup","\\end","\\right","&"],Sa.endOfGroup={"[":"]","{":"}","\\begingroup":"\\endgroup"},Sa.SUPSUB_GREEDINESS=1;var Ma=function(t,e){if(!("string"==typeof t||t instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var r=new Sa(t,e);delete r.gullet.macros.current["\\df@tag"];var a=r.parse();if(r.gullet.macros.get("\\df@tag")){if(!e.displayMode)throw new o("\\tag works only in display equations");r.gullet.feed("\\df@tag"),a=[{type:"tag",mode:"text",body:a,tag:r.parse()}]}return a},za=function(t,e,r){e.textContent="";var a=Ta(t,r).toNode();e.appendChild(a)};"undefined"!=typeof document&&"CSS1Compat"!==document.compatMode&&("undefined"!=typeof console&&console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."),za=function(){throw new o("KaTeX doesn't work in quirks mode.")});var Aa=function(t,e,r){if(r.throwOnError||!(t instanceof o))throw t;var a=Dt.makeSpan(["katex-error"],[new E(e)]);return a.setAttribute("title",t.toString()),a.setAttribute("style","color:"+r.errorColor),a},Ta=function(t,e){var r=new u(e);try{var a=Ma(t,r);return ke(a,t,r)}catch(e){return Aa(e,t,r)}},Ba={version:"0.12.0",render:za,renderToString:function(t,e){return Ta(t,e).toMarkup()},ParseError:o,__parse:function(t,e){var r=new u(e);return Ma(t,r)},__renderToDomTree:Ta,__renderToHTMLTree:function(t,e){var r=new u(e);try{return function(t,e,r){var a=le(t,ye(r)),n=Dt.makeSpan(["katex"],[a]);return we(n,r)}(Ma(t,r),0,r)}catch(e){return Aa(e,t,r)}},__setFontMetrics:function(t,e){F[t]=e},__defineSymbol:$,__defineMacro:pa,__domTree:{Span:N,Anchor:I,SymbolNode:E,SvgNode:L,PathNode:P,LineNode:D}};e.default=Ba}]).default});
\ No newline at end of file
diff --git a/docs/static/katex/v0.12.0/katex.mjs b/docs/static/katex/v0.12.0/katex.mjs
new file mode 100644
index 000000000..76938229f
--- /dev/null
+++ b/docs/static/katex/v0.12.0/katex.mjs
@@ -0,0 +1,16911 @@
+/**
+ * Lexing or parsing positional information for error reporting.
+ * This object is immutable.
+ */
+class SourceLocation {
+  // The + prefix indicates that these fields aren't writeable
+  // Lexer holding the input string.
+  // Start offset, zero-based inclusive.
+  // End offset, zero-based exclusive.
+  constructor(lexer, start, end) {
+    this.lexer = void 0;
+    this.start = void 0;
+    this.end = void 0;
+    this.lexer = lexer;
+    this.start = start;
+    this.end = end;
+  }
+  /**
+   * Merges two `SourceLocation`s from location providers, given they are
+   * provided in order of appearance.
+   * - Returns the first one's location if only the first is provided.
+   * - Returns a merged range of the first and the last if both are provided
+   *   and their lexers match.
+   * - Otherwise, returns null.
+   */
+
+
+  static range(first, second) {
+    if (!second) {
+      return first && first.loc;
+    } else if (!first || !first.loc || !second.loc || first.loc.lexer !== second.loc.lexer) {
+      return null;
+    } else {
+      return new SourceLocation(first.loc.lexer, first.loc.start, second.loc.end);
+    }
+  }
+
+}
+
+/**
+ * Interface required to break circular dependency between Token, Lexer, and
+ * ParseError.
+ */
+
+/**
+ * The resulting token returned from `lex`.
+ *
+ * It consists of the token text plus some position information.
+ * The position information is essentially a range in an input string,
+ * but instead of referencing the bare input string, we refer to the lexer.
+ * That way it is possible to attach extra metadata to the input string,
+ * like for example a file name or similar.
+ *
+ * The position information is optional, so it is OK to construct synthetic
+ * tokens if appropriate. Not providing available position information may
+ * lead to degraded error reporting, though.
+ */
+class Token {
+  // don't expand the token
+  // used in \noexpand
+  constructor(text, // the text of this token
+  loc) {
+    this.text = void 0;
+    this.loc = void 0;
+    this.noexpand = void 0;
+    this.treatAsRelax = void 0;
+    this.text = text;
+    this.loc = loc;
+  }
+  /**
+   * Given a pair of tokens (this and endToken), compute a `Token` encompassing
+   * the whole input range enclosed by these two.
+   */
+
+
+  range(endToken, // last token of the range, inclusive
+  text) // the text of the newly constructed token
+  {
+    return new Token(text, SourceLocation.range(this, endToken));
+  }
+
+}
+
+/**
+ * This is the ParseError class, which is the main error thrown by KaTeX
+ * functions when something has gone wrong. This is used to distinguish internal
+ * errors from errors in the expression that the user provided.
+ *
+ * If possible, a caller should provide a Token or ParseNode with information
+ * about where in the source string the problem occurred.
+ */
+class ParseError {
+  // Error position based on passed-in Token or ParseNode.
+  constructor(message, // The error message
+  token) // An object providing position information
+  {
+    this.position = void 0;
+    let error = "KaTeX parse error: " + message;
+    let start;
+    const loc = token && token.loc;
+
+    if (loc && loc.start <= loc.end) {
+      // If we have the input and a position, make the error a bit fancier
+      // Get the input
+      const input = loc.lexer.input; // Prepend some information
+
+      start = loc.start;
+      const end = loc.end;
+
+      if (start === input.length) {
+        error += " at end of input: ";
+      } else {
+        error += " at position " + (start + 1) + ": ";
+      } // Underline token in question using combining underscores
+
+
+      const underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error
+
+      let left;
+
+      if (start > 15) {
+        left = "…" + input.slice(start - 15, start);
+      } else {
+        left = input.slice(0, start);
+      }
+
+      let right;
+
+      if (end + 15 < input.length) {
+        right = input.slice(end, end + 15) + "…";
+      } else {
+        right = input.slice(end);
+      }
+
+      error += left + underlined + right;
+    } // Some hackery to make ParseError a prototype of Error
+    // See http://stackoverflow.com/a/8460753
+
+
+    const self = new Error(error);
+    self.name = "ParseError"; // $FlowFixMe
+
+    self.__proto__ = ParseError.prototype; // $FlowFixMe
+
+    self.position = start;
+    return self;
+  }
+
+} // $FlowFixMe More hackery
+
+
+ParseError.prototype.__proto__ = Error.prototype;
+
+/**
+ * This file contains a list of utility functions which are useful in other
+ * files.
+ */
+
+/**
+ * Return whether an element is contained in a list
+ */
+const contains = function contains(list, elem) {
+  return list.indexOf(elem) !== -1;
+};
+/**
+ * Provide a default value if a setting is undefined
+ * NOTE: Couldn't use `T` as the output type due to facebook/flow#5022.
+ */
+
+
+const deflt = function deflt(setting, defaultIfUndefined) {
+  return setting === undefined ? defaultIfUndefined : setting;
+}; // hyphenate and escape adapted from Facebook's React under Apache 2 license
+
+
+const uppercase = /([A-Z])/g;
+
+const hyphenate = function hyphenate(str) {
+  return str.replace(uppercase, "-$1").toLowerCase();
+};
+
+const ESCAPE_LOOKUP = {
+  "&": "&amp;",
+  ">": "&gt;",
+  "<": "&lt;",
+  "\"": "&quot;",
+  "'": "&#x27;"
+};
+const ESCAPE_REGEX = /[&><"']/g;
+/**
+ * Escapes text to prevent scripting attacks.
+ */
+
+function escape(text) {
+  return String(text).replace(ESCAPE_REGEX, match => ESCAPE_LOOKUP[match]);
+}
+/**
+ * Sometimes we want to pull out the innermost element of a group. In most
+ * cases, this will just be the group itself, but when ordgroups and colors have
+ * a single element, we want to pull that out.
+ */
+
+
+const getBaseElem = function getBaseElem(group) {
+  if (group.type === "ordgroup") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "color") {
+    if (group.body.length === 1) {
+      return getBaseElem(group.body[0]);
+    } else {
+      return group;
+    }
+  } else if (group.type === "font") {
+    return getBaseElem(group.body);
+  } else {
+    return group;
+  }
+};
+/**
+ * TeXbook algorithms often reference "character boxes", which are simply groups
+ * with a single character in them. To decide if something is a character box,
+ * we find its innermost group, and see if it is a single character.
+ */
+
+
+const isCharacterBox = function isCharacterBox(group) {
+  const baseElem = getBaseElem(group); // These are all they types of groups which hold single characters
+
+  return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom";
+};
+
+const assert = function assert(value) {
+  if (!value) {
+    throw new Error('Expected non-null, but got ' + String(value));
+  }
+
+  return value;
+};
+/**
+ * Return the protocol of a URL, or "_relative" if the URL does not specify a
+ * protocol (and thus is relative).
+ */
+
+const protocolFromUrl = function protocolFromUrl(url) {
+  const protocol = /^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(url);
+  return protocol != null ? protocol[1] : "_relative";
+};
+var utils = {
+  contains,
+  deflt,
+  escape,
+  hyphenate,
+  getBaseElem,
+  isCharacterBox,
+  protocolFromUrl
+};
+
+/* eslint no-console:0 */
+
+/**
+ * The main Settings object
+ *
+ * The current options stored are:
+ *  - displayMode: Whether the expression should be typeset as inline math
+ *                 (false, the default), meaning that the math starts in
+ *                 \textstyle and is placed in an inline-block); or as display
+ *                 math (true), meaning that the math starts in \displaystyle
+ *                 and is placed in a block with vertical margin.
+ */
+class Settings {
+  constructor(options) {
+    this.displayMode = void 0;
+    this.output = void 0;
+    this.leqno = void 0;
+    this.fleqn = void 0;
+    this.throwOnError = void 0;
+    this.errorColor = void 0;
+    this.macros = void 0;
+    this.minRuleThickness = void 0;
+    this.colorIsTextColor = void 0;
+    this.strict = void 0;
+    this.trust = void 0;
+    this.maxSize = void 0;
+    this.maxExpand = void 0;
+    this.globalGroup = void 0;
+    // allow null options
+    options = options || {};
+    this.displayMode = utils.deflt(options.displayMode, false);
+    this.output = utils.deflt(options.output, "htmlAndMathml");
+    this.leqno = utils.deflt(options.leqno, false);
+    this.fleqn = utils.deflt(options.fleqn, false);
+    this.throwOnError = utils.deflt(options.throwOnError, true);
+    this.errorColor = utils.deflt(options.errorColor, "#cc0000");
+    this.macros = options.macros || {};
+    this.minRuleThickness = Math.max(0, utils.deflt(options.minRuleThickness, 0));
+    this.colorIsTextColor = utils.deflt(options.colorIsTextColor, false);
+    this.strict = utils.deflt(options.strict, "warn");
+    this.trust = utils.deflt(options.trust, false);
+    this.maxSize = Math.max(0, utils.deflt(options.maxSize, Infinity));
+    this.maxExpand = Math.max(0, utils.deflt(options.maxExpand, 1000));
+    this.globalGroup = utils.deflt(options.globalGroup, false);
+  }
+  /**
+   * Report nonstrict (non-LaTeX-compatible) input.
+   * Can safely not be called if `this.strict` is false in JavaScript.
+   */
+
+
+  reportNonstrict(errorCode, errorMsg, token) {
+    let strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      strict = strict(errorCode, errorMsg, token);
+    }
+
+    if (!strict || strict === "ignore") {
+      return;
+    } else if (strict === true || strict === "error") {
+      throw new ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + `${errorMsg} [${errorCode}]`, token);
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + `${errorMsg} [${errorCode}]`);
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + `unrecognized '${strict}': ${errorMsg} [${errorCode}]`);
+    }
+  }
+  /**
+   * Check whether to apply strict (LaTeX-adhering) behavior for unusual
+   * input (like `\\`).  Unlike `nonstrict`, will not throw an error;
+   * instead, "error" translates to a return value of `true`, while "ignore"
+   * translates to a return value of `false`.  May still print a warning:
+   * "warn" prints a warning and returns `false`.
+   * This is for the second category of `errorCode`s listed in the README.
+   */
+
+
+  useStrictBehavior(errorCode, errorMsg, token) {
+    let strict = this.strict;
+
+    if (typeof strict === "function") {
+      // Allow return value of strict function to be boolean or string
+      // (or null/undefined, meaning no further processing).
+      // But catch any exceptions thrown by function, treating them
+      // like "error".
+      try {
+        strict = strict(errorCode, errorMsg, token);
+      } catch (error) {
+        strict = "error";
+      }
+    }
+
+    if (!strict || strict === "ignore") {
+      return false;
+    } else if (strict === true || strict === "error") {
+      return true;
+    } else if (strict === "warn") {
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + `${errorMsg} [${errorCode}]`);
+      return false;
+    } else {
+      // won't happen in type-safe code
+      typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + `unrecognized '${strict}': ${errorMsg} [${errorCode}]`);
+      return false;
+    }
+  }
+  /**
+   * Check whether to test potentially dangerous input, and return
+   * `true` (trusted) or `false` (untrusted).  The sole argument `context`
+   * should be an object with `command` field specifying the relevant LaTeX
+   * command (as a string starting with `\`), and any other arguments, etc.
+   * If `context` has a `url` field, a `protocol` field will automatically
+   * get added by this function (changing the specified object).
+   */
+
+
+  isTrusted(context) {
+    if (context.url && !context.protocol) {
+      context.protocol = utils.protocolFromUrl(context.url);
+    }
+
+    const trust = typeof this.trust === "function" ? this.trust(context) : this.trust;
+    return Boolean(trust);
+  }
+
+}
+
+/**
+ * This file contains information and classes for the various kinds of styles
+ * used in TeX. It provides a generic `Style` class, which holds information
+ * about a specific style. It then provides instances of all the different kinds
+ * of styles possible, and provides functions to move between them and get
+ * information about them.
+ */
+
+/**
+ * The main style class. Contains a unique id for the style, a size (which is
+ * the same for cramped and uncramped version of a style), and a cramped flag.
+ */
+class Style {
+  constructor(id, size, cramped) {
+    this.id = void 0;
+    this.size = void 0;
+    this.cramped = void 0;
+    this.id = id;
+    this.size = size;
+    this.cramped = cramped;
+  }
+  /**
+   * Get the style of a superscript given a base in the current style.
+   */
+
+
+  sup() {
+    return styles[sup[this.id]];
+  }
+  /**
+   * Get the style of a subscript given a base in the current style.
+   */
+
+
+  sub() {
+    return styles[sub[this.id]];
+  }
+  /**
+   * Get the style of a fraction numerator given the fraction in the current
+   * style.
+   */
+
+
+  fracNum() {
+    return styles[fracNum[this.id]];
+  }
+  /**
+   * Get the style of a fraction denominator given the fraction in the current
+   * style.
+   */
+
+
+  fracDen() {
+    return styles[fracDen[this.id]];
+  }
+  /**
+   * Get the cramped version of a style (in particular, cramping a cramped style
+   * doesn't change the style).
+   */
+
+
+  cramp() {
+    return styles[cramp[this.id]];
+  }
+  /**
+   * Get a text or display version of this style.
+   */
+
+
+  text() {
+    return styles[text[this.id]];
+  }
+  /**
+   * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
+   */
+
+
+  isTight() {
+    return this.size >= 2;
+  }
+
+} // Export an interface for type checking, but don't expose the implementation.
+// This way, no more styles can be generated.
+
+
+// IDs of the different styles
+const D = 0;
+const Dc = 1;
+const T = 2;
+const Tc = 3;
+const S = 4;
+const Sc = 5;
+const SS = 6;
+const SSc = 7; // Instances of the different styles
+
+const styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another
+
+const sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
+const sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
+const fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
+const fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
+const cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
+const text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles.
+
+var Style$1 = {
+  DISPLAY: styles[D],
+  TEXT: styles[T],
+  SCRIPT: styles[S],
+  SCRIPTSCRIPT: styles[SS]
+};
+
+/*
+ * This file defines the Unicode scripts and script families that we
+ * support. To add new scripts or families, just add a new entry to the
+ * scriptData array below. Adding scripts to the scriptData array allows
+ * characters from that script to appear in \text{} environments.
+ */
+
+/**
+ * Each script or script family has a name and an array of blocks.
+ * Each block is an array of two numbers which specify the start and
+ * end points (inclusive) of a block of Unicode codepoints.
+ */
+
+/**
+ * Unicode block data for the families of scripts we support in \text{}.
+ * Scripts only need to appear here if they do not have font metrics.
+ */
+const scriptData = [{
+  // Latin characters beyond the Latin-1 characters we have metrics for.
+  // Needed for Czech, Hungarian and Turkish text, for example.
+  name: 'latin',
+  blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B
+  [0x0300, 0x036f]]
+}, {
+  // The Cyrillic script used by Russian and related languages.
+  // A Cyrillic subset used to be supported as explicitly defined
+  // symbols in symbols.js
+  name: 'cyrillic',
+  blocks: [[0x0400, 0x04ff]]
+}, {
+  // The Brahmic scripts of South and Southeast Asia
+  // Devanagari (0900–097F)
+  // Bengali (0980–09FF)
+  // Gurmukhi (0A00–0A7F)
+  // Gujarati (0A80–0AFF)
+  // Oriya (0B00–0B7F)
+  // Tamil (0B80–0BFF)
+  // Telugu (0C00–0C7F)
+  // Kannada (0C80–0CFF)
+  // Malayalam (0D00–0D7F)
+  // Sinhala (0D80–0DFF)
+  // Thai (0E00–0E7F)
+  // Lao (0E80–0EFF)
+  // Tibetan (0F00–0FFF)
+  // Myanmar (1000–109F)
+  name: 'brahmic',
+  blocks: [[0x0900, 0x109F]]
+}, {
+  name: 'georgian',
+  blocks: [[0x10A0, 0x10ff]]
+}, {
+  // Chinese and Japanese.
+  // The "k" in cjk is for Korean, but we've separated Korean out
+  name: "cjk",
+  blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana
+  [0x4E00, 0x9FAF], // CJK ideograms
+  [0xFF00, 0xFF60]]
+}, {
+  // Korean
+  name: 'hangul',
+  blocks: [[0xAC00, 0xD7AF]]
+}];
+/**
+ * Given a codepoint, return the name of the script or script family
+ * it is from, or null if it is not part of a known block
+ */
+
+function scriptFromCodepoint(codepoint) {
+  for (let i = 0; i < scriptData.length; i++) {
+    const script = scriptData[i];
+
+    for (let i = 0; i < script.blocks.length; i++) {
+      const block = script.blocks[i];
+
+      if (codepoint >= block[0] && codepoint <= block[1]) {
+        return script.name;
+      }
+    }
+  }
+
+  return null;
+}
+/**
+ * A flattened version of all the supported blocks in a single array.
+ * This is an optimization to make supportedCodepoint() fast.
+ */
+
+const allBlocks = [];
+scriptData.forEach(s => s.blocks.forEach(b => allBlocks.push(...b)));
+/**
+ * Given a codepoint, return true if it falls within one of the
+ * scripts or script families defined above and false otherwise.
+ *
+ * Micro benchmarks shows that this is faster than
+ * /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test()
+ * in Firefox, Chrome and Node.
+ */
+
+function supportedCodepoint(codepoint) {
+  for (let i = 0; i < allBlocks.length; i += 2) {
+    if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) {
+      return true;
+    }
+  }
+
+  return false;
+}
+
+/**
+ * This file provides support to domTree.js and delimiter.js.
+ * It's a storehouse of path geometry for SVG images.
+ */
+// In all paths below, the viewBox-to-em scale is 1000:1.
+const hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping.
+// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option.
+// Think of variable extraViniculum as two detours in the SVG path.
+// The detour begins at the lower left of the area labeled extraViniculum below.
+// The detour proceeds one extraViniculum distance up and slightly to the right,
+// displacing the radiused corner between surd and viniculum. The radius is
+// traversed as usual, then the detour resumes. It goes right, to the end of
+// the very long viniculumn, then down one extraViniculum distance,
+// after which it resumes regular path geometry for the radical.
+
+/*                                                  viniculum
+                                                   /
+         /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum
+        / █████████████████████←0.04em (40 unit) std viniculum thickness
+       / /
+      / /
+     / /\
+    / / surd
+*/
+
+const sqrtMain = function sqrtMain(extraViniculum, hLinePad) {
+  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
+  return `M95,${622 + extraViniculum + hLinePad}
+c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
+c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
+c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
+s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
+c69,-144,104.5,-217.7,106.5,-221
+l${extraViniculum / 2.075} -${extraViniculum}
+c5.3,-9.3,12,-14,20,-14
+H400000v${40 + extraViniculum}H845.2724
+s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
+c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
+M${834 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) {
+  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
+  return `M263,${601 + extraViniculum + hLinePad}c0.7,0,18,39.7,52,119
+c34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120
+c340,-704.7,510.7,-1060.3,512,-1067
+l${extraViniculum / 2.084} -${extraViniculum}
+c4.7,-7.3,11,-11,19,-11
+H40000v${40 + extraViniculum}H1012.3
+s-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232
+c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
+s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
+c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
+M${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) {
+  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
+  return `M983 ${10 + extraViniculum + hLinePad}
+l${extraViniculum / 3.13} -${extraViniculum}
+c4,-6.7,10,-10,18,-10 H400000v${40 + extraViniculum}
+H1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7
+s-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744
+c-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30
+c26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722
+c56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5
+c53.7,-170.3,84.5,-266.8,92.5,-289.5z
+M${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) {
+  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
+  return `M424,${2398 + extraViniculum + hLinePad}
+c-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514
+c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20
+s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121
+s209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081
+l${extraViniculum / 4.223} -${extraViniculum}c4,-6.7,10,-10,18,-10 H400000
+v${40 + extraViniculum}H1014.6
+s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
+c-2,6,-10,9,-24,9
+c-8,0,-12,-0.7,-12,-2z M${1001 + extraViniculum} ${hLinePad}
+h400000v${40 + extraViniculum}h-400000z`;
+};
+
+const sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) {
+  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
+  return `M473,${2713 + extraViniculum + hLinePad}
+c339.3,-1799.3,509.3,-2700,510,-2702 l${extraViniculum / 5.298} -${extraViniculum}
+c3.3,-7.3,9.3,-11,18,-11 H400000v${40 + extraViniculum}H1017.7
+s-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9
+c-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200
+c0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26
+s76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,
+606zM${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}H1017.7z`;
+};
+
+const sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) {
+  // sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular
+  // One path edge has a variable length. It runs vertically from the viniculumn
+  // to a point near (14 units) the bottom of the surd. The viniculum
+  // is normally 40 units thick. So the length of the line in question is:
+  const vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum;
+  return `M702 ${extraViniculum + hLinePad}H400000${40 + extraViniculum}
+H742v${vertSegment}l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1
+h-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170
+c-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667
+219 661 l218 661zM702 ${hLinePad}H400000v${40 + extraViniculum}H742z`;
+};
+
+const sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) {
+  extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox.
+
+  let path = "";
+
+  switch (size) {
+    case "sqrtMain":
+      path = sqrtMain(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize1":
+      path = sqrtSize1(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize2":
+      path = sqrtSize2(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize3":
+      path = sqrtSize3(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtSize4":
+      path = sqrtSize4(extraViniculum, hLinePad);
+      break;
+
+    case "sqrtTall":
+      path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight);
+  }
+
+  return path;
+};
+const path = {
+  // Two paths that cover gaps in built-up parentheses.
+  leftParenInner: `M291 0 H417 V300 H291 z`,
+  rightParenInner: `M457 0 H583 V300 H457 z`,
+  // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
+  doubleleftarrow: `M262 157
+l10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3
+ 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28
+ 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5
+c2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5
+ 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87
+-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7
+-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z
+m8 0v40h399730v-40zm0 194v40h399730v-40z`,
+  // doublerightarrow is from glyph U+21D2 in font KaTeX Main
+  doublerightarrow: `M399738 392l
+-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5
+ 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88
+-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68
+-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18
+-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782
+c-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3
+-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z`,
+  // leftarrow is from glyph U+2190 in font KaTeX Main
+  leftarrow: `M400000 241H110l3-3c68.7-52.7 113.7-120
+ 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
+-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
+c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
+ 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
+ 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
+ l-3-3h399890zM100 241v40h399900v-40z`,
+  // overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular
+  leftbrace: `M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
+-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
+ 5-6 9-10 13-.7 1-7.3 1-20 1H6z`,
+  leftbraceunder: `M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
+ 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
+ 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
+-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z`,
+  // overgroup is from the MnSymbol package (public domain)
+  leftgroup: `M400000 80
+H435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0
+ 435 0h399565z`,
+  leftgroupunder: `M400000 262
+H435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219
+ 435 219h399565z`,
+  // Harpoons are from glyph U+21BD in font KaTeX Main
+  leftharpoon: `M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3
+-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5
+-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7
+-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z`,
+  leftharpoonplus: `M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5
+ 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3
+-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7
+-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z
+m0 0v40h400000v-40z`,
+  leftharpoondown: `M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333
+ 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5
+ 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667
+-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z`,
+  leftharpoondownplus: `M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12
+ 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7
+-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0
+v40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z`,
+  // hook is from glyph U+21A9 in font KaTeX Main
+  lefthook: `M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5
+-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3
+-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21
+ 71.5 23h399859zM103 281v-40h399897v40z`,
+  leftlinesegment: `M40 281 V428 H0 V94 H40 V241 H400000 v40z
+M40 281 V428 H0 V94 H40 V241 H400000 v40z`,
+  leftmapsto: `M40 281 V448H0V74H40V241H400000v40z
+M40 281 V448H0V74H40V241H400000v40z`,
+  // tofrom is from glyph U+21C4 in font KaTeX AMS Regular
+  leftToFrom: `M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23
+-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8
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+ 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z`,
+  longequal: `M0 50 h400000 v40H0z m0 194h40000v40H0z
+M0 50 h400000 v40H0z m0 194h40000v40H0z`,
+  midbrace: `M200428 334
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+ 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11
+ 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z`,
+  midbraceunder: `M199572 214
+c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
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+-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z`,
+  oiintSize1: `M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6
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+m368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8
+60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z`,
+  oiintSize2: `M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8
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+m502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2
+c0 110 84 276 504 276s502.4-166 502.4-276z`,
+  oiiintSize1: `M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6
+-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z
+m525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0
+85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z`,
+  oiiintSize2: `M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8
+-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z
+m770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1
+c0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z`,
+  rightarrow: `M0 241v40h399891c-47.3 35.3-84 78-110 128
+-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
+ 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
+ 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
+-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
+-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
+ 151.7 139 205zm0 0v40h399900v-40z`,
+  rightbrace: `M400000 542l
+-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5
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+c124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z`,
+  rightbraceunder: `M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
+ 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
+-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z`,
+  rightgroup: `M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0
+ 3-1 3-3v-38c-76-158-257-219-435-219H0z`,
+  rightgroupunder: `M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18
+ 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z`,
+  rightharpoon: `M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3
+-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2
+-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58
+ 69.2 92 94.5zm0 0v40h399900v-40z`,
+  rightharpoonplus: `M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11
+-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7
+ 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z
+m0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z`,
+  rightharpoondown: `M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8
+ 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5
+-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95
+-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z`,
+  rightharpoondownplus: `M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8
+ 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3
+ 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3
+-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z
+m0-194v40h400000v-40zm0 0v40h400000v-40z`,
+  righthook: `M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3
+ 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0
+-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21
+ 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z`,
+  rightlinesegment: `M399960 241 V94 h40 V428 h-40 V281 H0 v-40z
+M399960 241 V94 h40 V428 h-40 V281 H0 v-40z`,
+  rightToFrom: `M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23
+ 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32
+-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142
+-167z M100 147v40h399900v-40zM0 341v40h399900v-40z`,
+  // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
+  twoheadleftarrow: `M0 167c68 40
+ 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69
+-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3
+-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19
+-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101
+ 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z`,
+  twoheadrightarrow: `M400000 167
+c-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3
+ 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42
+ 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333
+-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70
+ 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z`,
+  // tilde1 is a modified version of a glyph from the MnSymbol package
+  tilde1: `M200 55.538c-77 0-168 73.953-177 73.953-3 0-7
+-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0
+ 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0
+ 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128
+-68.267.847-113-73.952-191-73.952z`,
+  // ditto tilde2, tilde3, & tilde4
+  tilde2: `M344 55.266c-142 0-300.638 81.316-311.5 86.418
+-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9
+ 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114
+c1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751
+ 181.476 676 181.476c-149 0-189-126.21-332-126.21z`,
+  tilde3: `M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457
+-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0
+ 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697
+ 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696
+ -338 0-409-156.573-744-156.573z`,
+  tilde4: `M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345
+-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409
+ 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9
+ 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409
+ -175.236-744-175.236z`,
+  // vec is from glyph U+20D7 in font KaTeX Main
+  vec: `M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
+3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
+10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
+-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
+-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
+H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
+c-16-25.333-24-45-24-59z`,
+  // widehat1 is a modified version of a glyph from the MnSymbol package
+  widehat1: `M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22
+c-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z`,
+  // ditto widehat2, widehat3, & widehat4
+  widehat2: `M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10
+-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
+  widehat3: `M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10
+-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
+  widehat4: `M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10
+-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z`,
+  // widecheck paths are all inverted versions of widehat
+  widecheck1: `M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,
+-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z`,
+  widecheck2: `M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,
+-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
+  widecheck3: `M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,
+-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
+  widecheck4: `M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,
+-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z`,
+  // The next ten paths support reaction arrows from the mhchem package.
+  // Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX
+  // baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main
+  baraboveleftarrow: `M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202
+c4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5
+c-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130
+s-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47
+121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6
+s2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11
+c0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z
+M100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z`,
+  // rightarrowabovebar is mostly from glyph U+2192, KaTeX Main
+  rightarrowabovebar: `M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32
+-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0
+13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39
+-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5
+-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
+-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
+151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z`,
+  // The short left harpoon has 0.5em (i.e. 500 units) kern on the left end.
+  // Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em
+  baraboveshortleftharpoon: `M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11
+c1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17
+c2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21
+c-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40
+c-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z
+M0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z`,
+  rightharpoonaboveshortbar: `M0,241 l0,40c399126,0,399993,0,399993,0
+c4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,
+-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6
+c-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z
+M0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z`,
+  shortbaraboveleftharpoon: `M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11
+c1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,
+1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,
+-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z
+M93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z`,
+  shortrightharpoonabovebar: `M53,241l0,40c398570,0,399437,0,399437,0
+c4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,
+-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6
+c-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z
+M500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z`
+};
+
+/**
+ * This node represents a document fragment, which contains elements, but when
+ * placed into the DOM doesn't have any representation itself. It only contains
+ * children and doesn't have any DOM node properties.
+ */
+class DocumentFragment {
+  // HtmlDomNode
+  // Never used; needed for satisfying interface.
+  constructor(children) {
+    this.children = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.children = children;
+    this.classes = [];
+    this.height = 0;
+    this.depth = 0;
+    this.maxFontSize = 0;
+    this.style = {};
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /** Convert the fragment into a node. */
+
+
+  toNode() {
+    const frag = document.createDocumentFragment();
+
+    for (let i = 0; i < this.children.length; i++) {
+      frag.appendChild(this.children[i].toNode());
+    }
+
+    return frag;
+  }
+  /** Convert the fragment into HTML markup. */
+
+
+  toMarkup() {
+    let markup = ""; // Simply concatenate the markup for the children together.
+
+    for (let i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText. Applies to
+   * MathDomNode's only.
+   */
+
+
+  toText() {
+    // To avoid this, we would subclass documentFragment separately for
+    // MathML, but polyfills for subclassing is expensive per PR 1469.
+    // $FlowFixMe: Only works for ChildType = MathDomNode.
+    const toText = child => child.toText();
+
+    return this.children.map(toText).join("");
+  }
+
+}
+
+/**
+ * These objects store the data about the DOM nodes we create, as well as some
+ * extra data. They can then be transformed into real DOM nodes with the
+ * `toNode` function or HTML markup using `toMarkup`. They are useful for both
+ * storing extra properties on the nodes, as well as providing a way to easily
+ * work with the DOM.
+ *
+ * Similar functions for working with MathML nodes exist in mathMLTree.js.
+ *
+ * TODO: refactor `span` and `anchor` into common superclass when
+ * target environments support class inheritance
+ */
+
+/**
+ * Create an HTML className based on a list of classes. In addition to joining
+ * with spaces, we also remove empty classes.
+ */
+const createClass = function createClass(classes) {
+  return classes.filter(cls => cls).join(" ");
+};
+
+const initNode = function initNode(classes, options, style) {
+  this.classes = classes || [];
+  this.attributes = {};
+  this.height = 0;
+  this.depth = 0;
+  this.maxFontSize = 0;
+  this.style = style || {};
+
+  if (options) {
+    if (options.style.isTight()) {
+      this.classes.push("mtight");
+    }
+
+    const color = options.getColor();
+
+    if (color) {
+      this.style.color = color;
+    }
+  }
+};
+/**
+ * Convert into an HTML node
+ */
+
+
+const toNode = function toNode(tagName) {
+  const node = document.createElement(tagName); // Apply the class
+
+  node.className = createClass(this.classes); // Apply inline styles
+
+  for (const style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      // $FlowFixMe Flow doesn't seem to understand span.style's type.
+      node.style[style] = this.style[style];
+    }
+  } // Apply attributes
+
+
+  for (const attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      node.setAttribute(attr, this.attributes[attr]);
+    }
+  } // Append the children, also as HTML nodes
+
+
+  for (let i = 0; i < this.children.length; i++) {
+    node.appendChild(this.children[i].toNode());
+  }
+
+  return node;
+};
+/**
+ * Convert into an HTML markup string
+ */
+
+
+const toMarkup = function toMarkup(tagName) {
+  let markup = `<${tagName}`; // Add the class
+
+  if (this.classes.length) {
+    markup += ` class="${utils.escape(createClass(this.classes))}"`;
+  }
+
+  let styles = ""; // Add the styles, after hyphenation
+
+  for (const style in this.style) {
+    if (this.style.hasOwnProperty(style)) {
+      styles += `${utils.hyphenate(style)}:${this.style[style]};`;
+    }
+  }
+
+  if (styles) {
+    markup += ` style="${utils.escape(styles)}"`;
+  } // Add the attributes
+
+
+  for (const attr in this.attributes) {
+    if (this.attributes.hasOwnProperty(attr)) {
+      markup += ` ${attr}="${utils.escape(this.attributes[attr])}"`;
+    }
+  }
+
+  markup += ">"; // Add the markup of the children, also as markup
+
+  for (let i = 0; i < this.children.length; i++) {
+    markup += this.children[i].toMarkup();
+  }
+
+  markup += `</${tagName}>`;
+  return markup;
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+// This type does not include all CSS properties. Additional properties should
+// be added as needed.
+
+
+/**
+ * This node represents a span node, with a className, a list of children, and
+ * an inline style. It also contains information about its height, depth, and
+ * maxFontSize.
+ *
+ * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan
+ * otherwise. This typesafety is important when HTML builders access a span's
+ * children.
+ */
+class Span {
+  constructor(classes, children, options, style) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options, style);
+    this.children = children || [];
+  }
+  /**
+   * Sets an arbitrary attribute on the span. Warning: use this wisely. Not
+   * all browsers support attributes the same, and having too many custom
+   * attributes is probably bad.
+   */
+
+
+  setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+
+  toNode() {
+    return toNode.call(this, "span");
+  }
+
+  toMarkup() {
+    return toMarkup.call(this, "span");
+  }
+
+}
+/**
+ * This node represents an anchor (<a>) element with a hyperlink.  See `span`
+ * for further details.
+ */
+
+class Anchor {
+  constructor(href, classes, children, options) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    initNode.call(this, classes, options);
+    this.children = children || [];
+    this.setAttribute('href', href);
+  }
+
+  setAttribute(attribute, value) {
+    this.attributes[attribute] = value;
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+
+  toNode() {
+    return toNode.call(this, "a");
+  }
+
+  toMarkup() {
+    return toMarkup.call(this, "a");
+  }
+
+}
+/**
+ * This node represents an image embed (<img>) element.
+ */
+
+class Img {
+  constructor(src, alt, style) {
+    this.src = void 0;
+    this.alt = void 0;
+    this.classes = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.maxFontSize = void 0;
+    this.style = void 0;
+    this.alt = alt;
+    this.src = src;
+    this.classes = ["mord"];
+    this.style = style;
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+
+  toNode() {
+    const node = document.createElement("img");
+    node.src = this.src;
+    node.alt = this.alt;
+    node.className = "mord"; // Apply inline styles
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        // $FlowFixMe
+        node.style[style] = this.style[style];
+      }
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    let markup = `<img  src='${this.src} 'alt='${this.alt}' `; // Add the styles, after hyphenation
+
+    let styles = "";
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += `${utils.hyphenate(style)}:${this.style[style]};`;
+      }
+    }
+
+    if (styles) {
+      markup += ` style="${utils.escape(styles)}"`;
+    }
+
+    markup += "'/>";
+    return markup;
+  }
+
+}
+const iCombinations = {
+  'î': '\u0131\u0302',
+  'ï': '\u0131\u0308',
+  'í': '\u0131\u0301',
+  // 'ī': '\u0131\u0304', // enable when we add Extended Latin
+  'ì': '\u0131\u0300'
+};
+/**
+ * A symbol node contains information about a single symbol. It either renders
+ * to a single text node, or a span with a single text node in it, depending on
+ * whether it has CSS classes, styles, or needs italic correction.
+ */
+
+class SymbolNode {
+  constructor(text, height, depth, italic, skew, width, classes, style) {
+    this.text = void 0;
+    this.height = void 0;
+    this.depth = void 0;
+    this.italic = void 0;
+    this.skew = void 0;
+    this.width = void 0;
+    this.maxFontSize = void 0;
+    this.classes = void 0;
+    this.style = void 0;
+    this.text = text;
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.italic = italic || 0;
+    this.skew = skew || 0;
+    this.width = width || 0;
+    this.classes = classes || [];
+    this.style = style || {};
+    this.maxFontSize = 0; // Mark text from non-Latin scripts with specific classes so that we
+    // can specify which fonts to use.  This allows us to render these
+    // characters with a serif font in situations where the browser would
+    // either default to a sans serif or render a placeholder character.
+    // We use CSS class names like cjk_fallback, hangul_fallback and
+    // brahmic_fallback. See ./unicodeScripts.js for the set of possible
+    // script names
+
+    const script = scriptFromCodepoint(this.text.charCodeAt(0));
+
+    if (script) {
+      this.classes.push(script + "_fallback");
+    }
+
+    if (/[îïíì]/.test(this.text)) {
+      // add ī when we add Extended Latin
+      this.text = iCombinations[this.text];
+    }
+  }
+
+  hasClass(className) {
+    return utils.contains(this.classes, className);
+  }
+  /**
+   * Creates a text node or span from a symbol node. Note that a span is only
+   * created if it is needed.
+   */
+
+
+  toNode() {
+    const node = document.createTextNode(this.text);
+    let span = null;
+
+    if (this.italic > 0) {
+      span = document.createElement("span");
+      span.style.marginRight = this.italic + "em";
+    }
+
+    if (this.classes.length > 0) {
+      span = span || document.createElement("span");
+      span.className = createClass(this.classes);
+    }
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type.
+
+        span.style[style] = this.style[style];
+      }
+    }
+
+    if (span) {
+      span.appendChild(node);
+      return span;
+    } else {
+      return node;
+    }
+  }
+  /**
+   * Creates markup for a symbol node.
+   */
+
+
+  toMarkup() {
+    // TODO(alpert): More duplication than I'd like from
+    // span.prototype.toMarkup and symbolNode.prototype.toNode...
+    let needsSpan = false;
+    let markup = "<span";
+
+    if (this.classes.length) {
+      needsSpan = true;
+      markup += " class=\"";
+      markup += utils.escape(createClass(this.classes));
+      markup += "\"";
+    }
+
+    let styles = "";
+
+    if (this.italic > 0) {
+      styles += "margin-right:" + this.italic + "em;";
+    }
+
+    for (const style in this.style) {
+      if (this.style.hasOwnProperty(style)) {
+        styles += utils.hyphenate(style) + ":" + this.style[style] + ";";
+      }
+    }
+
+    if (styles) {
+      needsSpan = true;
+      markup += " style=\"" + utils.escape(styles) + "\"";
+    }
+
+    const escaped = utils.escape(this.text);
+
+    if (needsSpan) {
+      markup += ">";
+      markup += escaped;
+      markup += "</span>";
+      return markup;
+    } else {
+      return escaped;
+    }
+  }
+
+}
+/**
+ * SVG nodes are used to render stretchy wide elements.
+ */
+
+class SvgNode {
+  constructor(children, attributes) {
+    this.children = void 0;
+    this.attributes = void 0;
+    this.children = children || [];
+    this.attributes = attributes || {};
+  }
+
+  toNode() {
+    const svgNS = "http://www.w3.org/2000/svg";
+    const node = document.createElementNS(svgNS, "svg"); // Apply attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (let i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    let markup = "<svg"; // Apply attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += ` ${attr}='${this.attributes[attr]}'`;
+      }
+    }
+
+    markup += ">";
+
+    for (let i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</svg>";
+    return markup;
+  }
+
+}
+class PathNode {
+  constructor(pathName, alternate) {
+    this.pathName = void 0;
+    this.alternate = void 0;
+    this.pathName = pathName;
+    this.alternate = alternate; // Used only for \sqrt
+  }
+
+  toNode() {
+    const svgNS = "http://www.w3.org/2000/svg";
+    const node = document.createElementNS(svgNS, "path");
+
+    if (this.alternate) {
+      node.setAttribute("d", this.alternate);
+    } else {
+      node.setAttribute("d", path[this.pathName]);
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    if (this.alternate) {
+      return `<path d='${this.alternate}'/>`;
+    } else {
+      return `<path d='${path[this.pathName]}'/>`;
+    }
+  }
+
+}
+class LineNode {
+  constructor(attributes) {
+    this.attributes = void 0;
+    this.attributes = attributes || {};
+  }
+
+  toNode() {
+    const svgNS = "http://www.w3.org/2000/svg";
+    const node = document.createElementNS(svgNS, "line"); // Apply attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    return node;
+  }
+
+  toMarkup() {
+    let markup = "<line";
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += ` ${attr}='${this.attributes[attr]}'`;
+      }
+    }
+
+    markup += "/>";
+    return markup;
+  }
+
+}
+function assertSymbolDomNode(group) {
+  if (group instanceof SymbolNode) {
+    return group;
+  } else {
+    throw new Error(`Expected symbolNode but got ${String(group)}.`);
+  }
+}
+function assertSpan(group) {
+  if (group instanceof Span) {
+    return group;
+  } else {
+    throw new Error(`Expected span<HtmlDomNode> but got ${String(group)}.`);
+  }
+}
+
+// This file is GENERATED by buildMetrics.sh. DO NOT MODIFY.
+var metricMap = {
+  "AMS-Regular": {
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+    "70": [0, 0.61111, 0, 0, 0.525],
+    "71": [0, 0.61111, 0, 0, 0.525],
+    "72": [0, 0.61111, 0, 0, 0.525],
+    "73": [0, 0.61111, 0, 0, 0.525],
+    "74": [0, 0.61111, 0, 0, 0.525],
+    "75": [0, 0.61111, 0, 0, 0.525],
+    "76": [0, 0.61111, 0, 0, 0.525],
+    "77": [0, 0.61111, 0, 0, 0.525],
+    "78": [0, 0.61111, 0, 0, 0.525],
+    "79": [0, 0.61111, 0, 0, 0.525],
+    "80": [0, 0.61111, 0, 0, 0.525],
+    "81": [0.13889, 0.61111, 0, 0, 0.525],
+    "82": [0, 0.61111, 0, 0, 0.525],
+    "83": [0, 0.61111, 0, 0, 0.525],
+    "84": [0, 0.61111, 0, 0, 0.525],
+    "85": [0, 0.61111, 0, 0, 0.525],
+    "86": [0, 0.61111, 0, 0, 0.525],
+    "87": [0, 0.61111, 0, 0, 0.525],
+    "88": [0, 0.61111, 0, 0, 0.525],
+    "89": [0, 0.61111, 0, 0, 0.525],
+    "90": [0, 0.61111, 0, 0, 0.525],
+    "91": [0.08333, 0.69444, 0, 0, 0.525],
+    "92": [0.08333, 0.69444, 0, 0, 0.525],
+    "93": [0.08333, 0.69444, 0, 0, 0.525],
+    "94": [0, 0.61111, 0, 0, 0.525],
+    "95": [0.09514, 0, 0, 0, 0.525],
+    "96": [0, 0.61111, 0, 0, 0.525],
+    "97": [0, 0.43056, 0, 0, 0.525],
+    "98": [0, 0.61111, 0, 0, 0.525],
+    "99": [0, 0.43056, 0, 0, 0.525],
+    "100": [0, 0.61111, 0, 0, 0.525],
+    "101": [0, 0.43056, 0, 0, 0.525],
+    "102": [0, 0.61111, 0, 0, 0.525],
+    "103": [0.22222, 0.43056, 0, 0, 0.525],
+    "104": [0, 0.61111, 0, 0, 0.525],
+    "105": [0, 0.61111, 0, 0, 0.525],
+    "106": [0.22222, 0.61111, 0, 0, 0.525],
+    "107": [0, 0.61111, 0, 0, 0.525],
+    "108": [0, 0.61111, 0, 0, 0.525],
+    "109": [0, 0.43056, 0, 0, 0.525],
+    "110": [0, 0.43056, 0, 0, 0.525],
+    "111": [0, 0.43056, 0, 0, 0.525],
+    "112": [0.22222, 0.43056, 0, 0, 0.525],
+    "113": [0.22222, 0.43056, 0, 0, 0.525],
+    "114": [0, 0.43056, 0, 0, 0.525],
+    "115": [0, 0.43056, 0, 0, 0.525],
+    "116": [0, 0.55358, 0, 0, 0.525],
+    "117": [0, 0.43056, 0, 0, 0.525],
+    "118": [0, 0.43056, 0, 0, 0.525],
+    "119": [0, 0.43056, 0, 0, 0.525],
+    "120": [0, 0.43056, 0, 0, 0.525],
+    "121": [0.22222, 0.43056, 0, 0, 0.525],
+    "122": [0, 0.43056, 0, 0, 0.525],
+    "123": [0.08333, 0.69444, 0, 0, 0.525],
+    "124": [0.08333, 0.69444, 0, 0, 0.525],
+    "125": [0.08333, 0.69444, 0, 0, 0.525],
+    "126": [0, 0.61111, 0, 0, 0.525],
+    "127": [0, 0.61111, 0, 0, 0.525],
+    "160": [0, 0, 0, 0, 0.525],
+    "176": [0, 0.61111, 0, 0, 0.525],
+    "184": [0.19445, 0, 0, 0, 0.525],
+    "305": [0, 0.43056, 0, 0, 0.525],
+    "567": [0.22222, 0.43056, 0, 0, 0.525],
+    "711": [0, 0.56597, 0, 0, 0.525],
+    "713": [0, 0.56555, 0, 0, 0.525],
+    "714": [0, 0.61111, 0, 0, 0.525],
+    "715": [0, 0.61111, 0, 0, 0.525],
+    "728": [0, 0.61111, 0, 0, 0.525],
+    "730": [0, 0.61111, 0, 0, 0.525],
+    "770": [0, 0.61111, 0, 0, 0.525],
+    "771": [0, 0.61111, 0, 0, 0.525],
+    "776": [0, 0.61111, 0, 0, 0.525],
+    "915": [0, 0.61111, 0, 0, 0.525],
+    "916": [0, 0.61111, 0, 0, 0.525],
+    "920": [0, 0.61111, 0, 0, 0.525],
+    "923": [0, 0.61111, 0, 0, 0.525],
+    "926": [0, 0.61111, 0, 0, 0.525],
+    "928": [0, 0.61111, 0, 0, 0.525],
+    "931": [0, 0.61111, 0, 0, 0.525],
+    "933": [0, 0.61111, 0, 0, 0.525],
+    "934": [0, 0.61111, 0, 0, 0.525],
+    "936": [0, 0.61111, 0, 0, 0.525],
+    "937": [0, 0.61111, 0, 0, 0.525],
+    "8216": [0, 0.61111, 0, 0, 0.525],
+    "8217": [0, 0.61111, 0, 0, 0.525],
+    "8242": [0, 0.61111, 0, 0, 0.525],
+    "9251": [0.11111, 0.21944, 0, 0, 0.525]
+  }
+};
+
+/**
+ * This file contains metrics regarding fonts and individual symbols. The sigma
+ * and xi variables, as well as the metricMap map contain data extracted from
+ * TeX, TeX font metrics, and the TTF files. These data are then exposed via the
+ * `metrics` variable and the getCharacterMetrics function.
+ */
+// In TeX, there are actually three sets of dimensions, one for each of
+// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4:
+// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt).  These are
+// provided in the the arrays below, in that order.
+//
+// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively.
+// This was determined by running the following script:
+//
+//     latex -interaction=nonstopmode \
+//     '\documentclass{article}\usepackage{amsmath}\begin{document}' \
+//     '$a$ \expandafter\show\the\textfont2' \
+//     '\expandafter\show\the\scriptfont2' \
+//     '\expandafter\show\the\scriptscriptfont2' \
+//     '\stop'
+//
+// The metrics themselves were retreived using the following commands:
+//
+//     tftopl cmsy10
+//     tftopl cmsy7
+//     tftopl cmsy5
+//
+// The output of each of these commands is quite lengthy.  The only part we
+// care about is the FONTDIMEN section. Each value is measured in EMs.
+const sigmasAndXis = {
+  slant: [0.250, 0.250, 0.250],
+  // sigma1
+  space: [0.000, 0.000, 0.000],
+  // sigma2
+  stretch: [0.000, 0.000, 0.000],
+  // sigma3
+  shrink: [0.000, 0.000, 0.000],
+  // sigma4
+  xHeight: [0.431, 0.431, 0.431],
+  // sigma5
+  quad: [1.000, 1.171, 1.472],
+  // sigma6
+  extraSpace: [0.000, 0.000, 0.000],
+  // sigma7
+  num1: [0.677, 0.732, 0.925],
+  // sigma8
+  num2: [0.394, 0.384, 0.387],
+  // sigma9
+  num3: [0.444, 0.471, 0.504],
+  // sigma10
+  denom1: [0.686, 0.752, 1.025],
+  // sigma11
+  denom2: [0.345, 0.344, 0.532],
+  // sigma12
+  sup1: [0.413, 0.503, 0.504],
+  // sigma13
+  sup2: [0.363, 0.431, 0.404],
+  // sigma14
+  sup3: [0.289, 0.286, 0.294],
+  // sigma15
+  sub1: [0.150, 0.143, 0.200],
+  // sigma16
+  sub2: [0.247, 0.286, 0.400],
+  // sigma17
+  supDrop: [0.386, 0.353, 0.494],
+  // sigma18
+  subDrop: [0.050, 0.071, 0.100],
+  // sigma19
+  delim1: [2.390, 1.700, 1.980],
+  // sigma20
+  delim2: [1.010, 1.157, 1.420],
+  // sigma21
+  axisHeight: [0.250, 0.250, 0.250],
+  // sigma22
+  // These font metrics are extracted from TeX by using tftopl on cmex10.tfm;
+  // they correspond to the font parameters of the extension fonts (family 3).
+  // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to
+  // match cmex7, we'd use cmex7.tfm values for script and scriptscript
+  // values.
+  defaultRuleThickness: [0.04, 0.049, 0.049],
+  // xi8; cmex7: 0.049
+  bigOpSpacing1: [0.111, 0.111, 0.111],
+  // xi9
+  bigOpSpacing2: [0.166, 0.166, 0.166],
+  // xi10
+  bigOpSpacing3: [0.2, 0.2, 0.2],
+  // xi11
+  bigOpSpacing4: [0.6, 0.611, 0.611],
+  // xi12; cmex7: 0.611
+  bigOpSpacing5: [0.1, 0.143, 0.143],
+  // xi13; cmex7: 0.143
+  // The \sqrt rule width is taken from the height of the surd character.
+  // Since we use the same font at all sizes, this thickness doesn't scale.
+  sqrtRuleThickness: [0.04, 0.04, 0.04],
+  // This value determines how large a pt is, for metrics which are defined
+  // in terms of pts.
+  // This value is also used in katex.less; if you change it make sure the
+  // values match.
+  ptPerEm: [10.0, 10.0, 10.0],
+  // The space between adjacent `|` columns in an array definition. From
+  // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm.
+  doubleRuleSep: [0.2, 0.2, 0.2],
+  // The width of separator lines in {array} environments. From
+  // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm.
+  arrayRuleWidth: [0.04, 0.04, 0.04],
+  // Two values from LaTeX source2e:
+  fboxsep: [0.3, 0.3, 0.3],
+  //        3 pt / ptPerEm
+  fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm
+
+}; // This map contains a mapping from font name and character code to character
+// should have Latin-1 and Cyrillic characters, but may not depending on the
+// operating system.  The metrics do not account for extra height from the
+// accents.  In the case of Cyrillic characters which have both ascenders and
+// descenders we prefer approximations with ascenders, primarily to prevent
+// the fraction bar or root line from intersecting the glyph.
+// TODO(kevinb) allow union of multiple glyph metrics for better accuracy.
+
+const extraCharacterMap = {
+  // Latin-1
+  'Å': 'A',
+  'Ç': 'C',
+  'Ð': 'D',
+  'Þ': 'o',
+  'å': 'a',
+  'ç': 'c',
+  'ð': 'd',
+  'þ': 'o',
+  // Cyrillic
+  'А': 'A',
+  'Б': 'B',
+  'В': 'B',
+  'Г': 'F',
+  'Д': 'A',
+  'Е': 'E',
+  'Ж': 'K',
+  'З': '3',
+  'И': 'N',
+  'Й': 'N',
+  'К': 'K',
+  'Л': 'N',
+  'М': 'M',
+  'Н': 'H',
+  'О': 'O',
+  'П': 'N',
+  'Р': 'P',
+  'С': 'C',
+  'Т': 'T',
+  'У': 'y',
+  'Ф': 'O',
+  'Х': 'X',
+  'Ц': 'U',
+  'Ч': 'h',
+  'Ш': 'W',
+  'Щ': 'W',
+  'Ъ': 'B',
+  'Ы': 'X',
+  'Ь': 'B',
+  'Э': '3',
+  'Ю': 'X',
+  'Я': 'R',
+  'а': 'a',
+  'б': 'b',
+  'в': 'a',
+  'г': 'r',
+  'д': 'y',
+  'е': 'e',
+  'ж': 'm',
+  'з': 'e',
+  'и': 'n',
+  'й': 'n',
+  'к': 'n',
+  'л': 'n',
+  'м': 'm',
+  'н': 'n',
+  'о': 'o',
+  'п': 'n',
+  'р': 'p',
+  'с': 'c',
+  'т': 'o',
+  'у': 'y',
+  'ф': 'b',
+  'х': 'x',
+  'ц': 'n',
+  'ч': 'n',
+  'ш': 'w',
+  'щ': 'w',
+  'ъ': 'a',
+  'ы': 'm',
+  'ь': 'a',
+  'э': 'e',
+  'ю': 'm',
+  'я': 'r'
+};
+
+/**
+ * This function adds new font metrics to default metricMap
+ * It can also override existing metrics
+ */
+function setFontMetrics(fontName, metrics) {
+  metricMap[fontName] = metrics;
+}
+/**
+ * This function is a convenience function for looking up information in the
+ * metricMap table. It takes a character as a string, and a font.
+ *
+ * Note: the `width` property may be undefined if fontMetricsData.js wasn't
+ * built using `Make extended_metrics`.
+ */
+
+function getCharacterMetrics(character, font, mode) {
+  if (!metricMap[font]) {
+    throw new Error(`Font metrics not found for font: ${font}.`);
+  }
+
+  let ch = character.charCodeAt(0);
+  let metrics = metricMap[font][ch];
+
+  if (!metrics && character[0] in extraCharacterMap) {
+    ch = extraCharacterMap[character[0]].charCodeAt(0);
+    metrics = metricMap[font][ch];
+  }
+
+  if (!metrics && mode === 'text') {
+    // We don't typically have font metrics for Asian scripts.
+    // But since we support them in text mode, we need to return
+    // some sort of metrics.
+    // So if the character is in a script we support but we
+    // don't have metrics for it, just use the metrics for
+    // the Latin capital letter M. This is close enough because
+    // we (currently) only care about the height of the glpyh
+    // not its width.
+    if (supportedCodepoint(ch)) {
+      metrics = metricMap[font][77]; // 77 is the charcode for 'M'
+    }
+  }
+
+  if (metrics) {
+    return {
+      depth: metrics[0],
+      height: metrics[1],
+      italic: metrics[2],
+      skew: metrics[3],
+      width: metrics[4]
+    };
+  }
+}
+const fontMetricsBySizeIndex = {};
+/**
+ * Get the font metrics for a given size.
+ */
+
+function getGlobalMetrics(size) {
+  let sizeIndex;
+
+  if (size >= 5) {
+    sizeIndex = 0;
+  } else if (size >= 3) {
+    sizeIndex = 1;
+  } else {
+    sizeIndex = 2;
+  }
+
+  if (!fontMetricsBySizeIndex[sizeIndex]) {
+    const metrics = fontMetricsBySizeIndex[sizeIndex] = {
+      cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18
+    };
+
+    for (const key in sigmasAndXis) {
+      if (sigmasAndXis.hasOwnProperty(key)) {
+        metrics[key] = sigmasAndXis[key][sizeIndex];
+      }
+    }
+  }
+
+  return fontMetricsBySizeIndex[sizeIndex];
+}
+
+/**
+ * This file holds a list of all no-argument functions and single-character
+ * symbols (like 'a' or ';').
+ *
+ * For each of the symbols, there are three properties they can have:
+ * - font (required): the font to be used for this symbol. Either "main" (the
+     normal font), or "ams" (the ams fonts).
+ * - group (required): the ParseNode group type the symbol should have (i.e.
+     "textord", "mathord", etc).
+     See https://github.com/KaTeX/KaTeX/wiki/Examining-TeX#group-types
+ * - replace: the character that this symbol or function should be
+ *   replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi
+ *   character in the main font).
+ *
+ * The outermost map in the table indicates what mode the symbols should be
+ * accepted in (e.g. "math" or "text").
+ */
+// Some of these have a "-token" suffix since these are also used as `ParseNode`
+// types for raw text tokens, and we want to avoid conflicts with higher-level
+// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by
+// looking up the `symbols` map.
+const ATOMS = {
+  "bin": 1,
+  "close": 1,
+  "inner": 1,
+  "open": 1,
+  "punct": 1,
+  "rel": 1
+};
+const NON_ATOMS = {
+  "accent-token": 1,
+  "mathord": 1,
+  "op-token": 1,
+  "spacing": 1,
+  "textord": 1
+};
+const symbols = {
+  "math": {},
+  "text": {}
+};
+/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */
+
+function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) {
+  symbols[mode][name] = {
+    font,
+    group,
+    replace
+  };
+
+  if (acceptUnicodeChar && replace) {
+    symbols[mode][replace] = symbols[mode][name];
+  }
+} // Some abbreviations for commonly used strings.
+// This helps minify the code, and also spotting typos using jshint.
+// modes:
+
+const math = "math";
+const text$1 = "text"; // fonts:
+
+const main = "main";
+const ams = "ams"; // groups:
+
+const accent = "accent-token";
+const bin = "bin";
+const close = "close";
+const inner = "inner";
+const mathord = "mathord";
+const op = "op-token";
+const open = "open";
+const punct = "punct";
+const rel = "rel";
+const spacing = "spacing";
+const textord = "textord"; // Now comes the symbol table
+// Relation Symbols
+
+defineSymbol(math, main, rel, "\u2261", "\\equiv", true);
+defineSymbol(math, main, rel, "\u227a", "\\prec", true);
+defineSymbol(math, main, rel, "\u227b", "\\succ", true);
+defineSymbol(math, main, rel, "\u223c", "\\sim", true);
+defineSymbol(math, main, rel, "\u22a5", "\\perp");
+defineSymbol(math, main, rel, "\u2aaf", "\\preceq", true);
+defineSymbol(math, main, rel, "\u2ab0", "\\succeq", true);
+defineSymbol(math, main, rel, "\u2243", "\\simeq", true);
+defineSymbol(math, main, rel, "\u2223", "\\mid", true);
+defineSymbol(math, main, rel, "\u226a", "\\ll", true);
+defineSymbol(math, main, rel, "\u226b", "\\gg", true);
+defineSymbol(math, main, rel, "\u224d", "\\asymp", true);
+defineSymbol(math, main, rel, "\u2225", "\\parallel");
+defineSymbol(math, main, rel, "\u22c8", "\\bowtie", true);
+defineSymbol(math, main, rel, "\u2323", "\\smile", true);
+defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq", true);
+defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq", true);
+defineSymbol(math, main, rel, "\u2250", "\\doteq", true);
+defineSymbol(math, main, rel, "\u2322", "\\frown", true);
+defineSymbol(math, main, rel, "\u220b", "\\ni", true);
+defineSymbol(math, main, rel, "\u221d", "\\propto", true);
+defineSymbol(math, main, rel, "\u22a2", "\\vdash", true);
+defineSymbol(math, main, rel, "\u22a3", "\\dashv", true);
+defineSymbol(math, main, rel, "\u220b", "\\owns"); // Punctuation
+
+defineSymbol(math, main, punct, "\u002e", "\\ldotp");
+defineSymbol(math, main, punct, "\u22c5", "\\cdotp"); // Misc Symbols
+
+defineSymbol(math, main, textord, "\u0023", "\\#");
+defineSymbol(text$1, main, textord, "\u0023", "\\#");
+defineSymbol(math, main, textord, "\u0026", "\\&");
+defineSymbol(text$1, main, textord, "\u0026", "\\&");
+defineSymbol(math, main, textord, "\u2135", "\\aleph", true);
+defineSymbol(math, main, textord, "\u2200", "\\forall", true);
+defineSymbol(math, main, textord, "\u210f", "\\hbar", true);
+defineSymbol(math, main, textord, "\u2203", "\\exists", true);
+defineSymbol(math, main, textord, "\u2207", "\\nabla", true);
+defineSymbol(math, main, textord, "\u266d", "\\flat", true);
+defineSymbol(math, main, textord, "\u2113", "\\ell", true);
+defineSymbol(math, main, textord, "\u266e", "\\natural", true);
+defineSymbol(math, main, textord, "\u2663", "\\clubsuit", true);
+defineSymbol(math, main, textord, "\u2118", "\\wp", true);
+defineSymbol(math, main, textord, "\u266f", "\\sharp", true);
+defineSymbol(math, main, textord, "\u2662", "\\diamondsuit", true);
+defineSymbol(math, main, textord, "\u211c", "\\Re", true);
+defineSymbol(math, main, textord, "\u2661", "\\heartsuit", true);
+defineSymbol(math, main, textord, "\u2111", "\\Im", true);
+defineSymbol(math, main, textord, "\u2660", "\\spadesuit", true);
+defineSymbol(text$1, main, textord, "\u00a7", "\\S", true);
+defineSymbol(text$1, main, textord, "\u00b6", "\\P", true); // Math and Text
+
+defineSymbol(math, main, textord, "\u2020", "\\dag");
+defineSymbol(text$1, main, textord, "\u2020", "\\dag");
+defineSymbol(text$1, main, textord, "\u2020", "\\textdagger");
+defineSymbol(math, main, textord, "\u2021", "\\ddag");
+defineSymbol(text$1, main, textord, "\u2021", "\\ddag");
+defineSymbol(text$1, main, textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters
+
+defineSymbol(math, main, close, "\u23b1", "\\rmoustache", true);
+defineSymbol(math, main, open, "\u23b0", "\\lmoustache", true);
+defineSymbol(math, main, close, "\u27ef", "\\rgroup", true);
+defineSymbol(math, main, open, "\u27ee", "\\lgroup", true); // Binary Operators
+
+defineSymbol(math, main, bin, "\u2213", "\\mp", true);
+defineSymbol(math, main, bin, "\u2296", "\\ominus", true);
+defineSymbol(math, main, bin, "\u228e", "\\uplus", true);
+defineSymbol(math, main, bin, "\u2293", "\\sqcap", true);
+defineSymbol(math, main, bin, "\u2217", "\\ast");
+defineSymbol(math, main, bin, "\u2294", "\\sqcup", true);
+defineSymbol(math, main, bin, "\u25ef", "\\bigcirc");
+defineSymbol(math, main, bin, "\u2219", "\\bullet");
+defineSymbol(math, main, bin, "\u2021", "\\ddagger");
+defineSymbol(math, main, bin, "\u2240", "\\wr", true);
+defineSymbol(math, main, bin, "\u2a3f", "\\amalg");
+defineSymbol(math, main, bin, "\u0026", "\\And"); // from amsmath
+// Arrow Symbols
+
+defineSymbol(math, main, rel, "\u27f5", "\\longleftarrow", true);
+defineSymbol(math, main, rel, "\u21d0", "\\Leftarrow", true);
+defineSymbol(math, main, rel, "\u27f8", "\\Longleftarrow", true);
+defineSymbol(math, main, rel, "\u27f6", "\\longrightarrow", true);
+defineSymbol(math, main, rel, "\u21d2", "\\Rightarrow", true);
+defineSymbol(math, main, rel, "\u27f9", "\\Longrightarrow", true);
+defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow", true);
+defineSymbol(math, main, rel, "\u27f7", "\\longleftrightarrow", true);
+defineSymbol(math, main, rel, "\u21d4", "\\Leftrightarrow", true);
+defineSymbol(math, main, rel, "\u27fa", "\\Longleftrightarrow", true);
+defineSymbol(math, main, rel, "\u21a6", "\\mapsto", true);
+defineSymbol(math, main, rel, "\u27fc", "\\longmapsto", true);
+defineSymbol(math, main, rel, "\u2197", "\\nearrow", true);
+defineSymbol(math, main, rel, "\u21a9", "\\hookleftarrow", true);
+defineSymbol(math, main, rel, "\u21aa", "\\hookrightarrow", true);
+defineSymbol(math, main, rel, "\u2198", "\\searrow", true);
+defineSymbol(math, main, rel, "\u21bc", "\\leftharpoonup", true);
+defineSymbol(math, main, rel, "\u21c0", "\\rightharpoonup", true);
+defineSymbol(math, main, rel, "\u2199", "\\swarrow", true);
+defineSymbol(math, main, rel, "\u21bd", "\\leftharpoondown", true);
+defineSymbol(math, main, rel, "\u21c1", "\\rightharpoondown", true);
+defineSymbol(math, main, rel, "\u2196", "\\nwarrow", true);
+defineSymbol(math, main, rel, "\u21cc", "\\rightleftharpoons", true); // AMS Negated Binary Relations
+
+defineSymbol(math, ams, rel, "\u226e", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro.
+
+defineSymbol(math, ams, rel, "\ue010", "\\@nleqslant");
+defineSymbol(math, ams, rel, "\ue011", "\\@nleqq");
+defineSymbol(math, ams, rel, "\u2a87", "\\lneq", true);
+defineSymbol(math, ams, rel, "\u2268", "\\lneqq", true);
+defineSymbol(math, ams, rel, "\ue00c", "\\@lvertneqq");
+defineSymbol(math, ams, rel, "\u22e6", "\\lnsim", true);
+defineSymbol(math, ams, rel, "\u2a89", "\\lnapprox", true);
+defineSymbol(math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u22e0", "\\npreceq", true);
+defineSymbol(math, ams, rel, "\u22e8", "\\precnsim", true);
+defineSymbol(math, ams, rel, "\u2ab9", "\\precnapprox", true);
+defineSymbol(math, ams, rel, "\u2241", "\\nsim", true);
+defineSymbol(math, ams, rel, "\ue006", "\\@nshortmid");
+defineSymbol(math, ams, rel, "\u2224", "\\nmid", true);
+defineSymbol(math, ams, rel, "\u22ac", "\\nvdash", true);
+defineSymbol(math, ams, rel, "\u22ad", "\\nvDash", true);
+defineSymbol(math, ams, rel, "\u22ea", "\\ntriangleleft");
+defineSymbol(math, ams, rel, "\u22ec", "\\ntrianglelefteq", true);
+defineSymbol(math, ams, rel, "\u228a", "\\subsetneq", true);
+defineSymbol(math, ams, rel, "\ue01a", "\\@varsubsetneq");
+defineSymbol(math, ams, rel, "\u2acb", "\\subsetneqq", true);
+defineSymbol(math, ams, rel, "\ue017", "\\@varsubsetneqq");
+defineSymbol(math, ams, rel, "\u226f", "\\ngtr", true);
+defineSymbol(math, ams, rel, "\ue00f", "\\@ngeqslant");
+defineSymbol(math, ams, rel, "\ue00e", "\\@ngeqq");
+defineSymbol(math, ams, rel, "\u2a88", "\\gneq", true);
+defineSymbol(math, ams, rel, "\u2269", "\\gneqq", true);
+defineSymbol(math, ams, rel, "\ue00d", "\\@gvertneqq");
+defineSymbol(math, ams, rel, "\u22e7", "\\gnsim", true);
+defineSymbol(math, ams, rel, "\u2a8a", "\\gnapprox", true);
+defineSymbol(math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u22e1", "\\nsucceq", true);
+defineSymbol(math, ams, rel, "\u22e9", "\\succnsim", true);
+defineSymbol(math, ams, rel, "\u2aba", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u2246", "\\ncong", true);
+defineSymbol(math, ams, rel, "\ue007", "\\@nshortparallel");
+defineSymbol(math, ams, rel, "\u2226", "\\nparallel", true);
+defineSymbol(math, ams, rel, "\u22af", "\\nVDash", true);
+defineSymbol(math, ams, rel, "\u22eb", "\\ntriangleright");
+defineSymbol(math, ams, rel, "\u22ed", "\\ntrianglerighteq", true);
+defineSymbol(math, ams, rel, "\ue018", "\\@nsupseteqq");
+defineSymbol(math, ams, rel, "\u228b", "\\supsetneq", true);
+defineSymbol(math, ams, rel, "\ue01b", "\\@varsupsetneq");
+defineSymbol(math, ams, rel, "\u2acc", "\\supsetneqq", true);
+defineSymbol(math, ams, rel, "\ue019", "\\@varsupsetneqq");
+defineSymbol(math, ams, rel, "\u22ae", "\\nVdash", true);
+defineSymbol(math, ams, rel, "\u2ab5", "\\precneqq", true);
+defineSymbol(math, ams, rel, "\u2ab6", "\\succneqq", true);
+defineSymbol(math, ams, rel, "\ue016", "\\@nsubseteqq");
+defineSymbol(math, ams, bin, "\u22b4", "\\unlhd");
+defineSymbol(math, ams, bin, "\u22b5", "\\unrhd"); // AMS Negated Arrows
+
+defineSymbol(math, ams, rel, "\u219a", "\\nleftarrow", true);
+defineSymbol(math, ams, rel, "\u219b", "\\nrightarrow", true);
+defineSymbol(math, ams, rel, "\u21cd", "\\nLeftarrow", true);
+defineSymbol(math, ams, rel, "\u21cf", "\\nRightarrow", true);
+defineSymbol(math, ams, rel, "\u21ae", "\\nleftrightarrow", true);
+defineSymbol(math, ams, rel, "\u21ce", "\\nLeftrightarrow", true); // AMS Misc
+
+defineSymbol(math, ams, rel, "\u25b3", "\\vartriangle");
+defineSymbol(math, ams, textord, "\u210f", "\\hslash");
+defineSymbol(math, ams, textord, "\u25bd", "\\triangledown");
+defineSymbol(math, ams, textord, "\u25ca", "\\lozenge");
+defineSymbol(math, ams, textord, "\u24c8", "\\circledS");
+defineSymbol(math, ams, textord, "\u00ae", "\\circledR");
+defineSymbol(text$1, ams, textord, "\u00ae", "\\circledR");
+defineSymbol(math, ams, textord, "\u2221", "\\measuredangle", true);
+defineSymbol(math, ams, textord, "\u2204", "\\nexists");
+defineSymbol(math, ams, textord, "\u2127", "\\mho");
+defineSymbol(math, ams, textord, "\u2132", "\\Finv", true);
+defineSymbol(math, ams, textord, "\u2141", "\\Game", true);
+defineSymbol(math, ams, textord, "\u2035", "\\backprime");
+defineSymbol(math, ams, textord, "\u25b2", "\\blacktriangle");
+defineSymbol(math, ams, textord, "\u25bc", "\\blacktriangledown");
+defineSymbol(math, ams, textord, "\u25a0", "\\blacksquare");
+defineSymbol(math, ams, textord, "\u29eb", "\\blacklozenge");
+defineSymbol(math, ams, textord, "\u2605", "\\bigstar");
+defineSymbol(math, ams, textord, "\u2222", "\\sphericalangle", true);
+defineSymbol(math, ams, textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 to \matheth. We map to AMS function \eth
+
+defineSymbol(math, ams, textord, "\u00f0", "\\eth", true);
+defineSymbol(text$1, main, textord, "\u00f0", "\u00f0");
+defineSymbol(math, ams, textord, "\u2571", "\\diagup");
+defineSymbol(math, ams, textord, "\u2572", "\\diagdown");
+defineSymbol(math, ams, textord, "\u25a1", "\\square");
+defineSymbol(math, ams, textord, "\u25a1", "\\Box");
+defineSymbol(math, ams, textord, "\u25ca", "\\Diamond"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen
+
+defineSymbol(math, ams, textord, "\u00a5", "\\yen", true);
+defineSymbol(text$1, ams, textord, "\u00a5", "\\yen", true);
+defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true);
+defineSymbol(text$1, ams, textord, "\u2713", "\\checkmark"); // AMS Hebrew
+
+defineSymbol(math, ams, textord, "\u2136", "\\beth", true);
+defineSymbol(math, ams, textord, "\u2138", "\\daleth", true);
+defineSymbol(math, ams, textord, "\u2137", "\\gimel", true); // AMS Greek
+
+defineSymbol(math, ams, textord, "\u03dd", "\\digamma", true);
+defineSymbol(math, ams, textord, "\u03f0", "\\varkappa"); // AMS Delimiters
+
+defineSymbol(math, ams, open, "\u250c", "\\@ulcorner", true);
+defineSymbol(math, ams, close, "\u2510", "\\@urcorner", true);
+defineSymbol(math, ams, open, "\u2514", "\\@llcorner", true);
+defineSymbol(math, ams, close, "\u2518", "\\@lrcorner", true); // AMS Binary Relations
+
+defineSymbol(math, ams, rel, "\u2266", "\\leqq", true);
+defineSymbol(math, ams, rel, "\u2a7d", "\\leqslant", true);
+defineSymbol(math, ams, rel, "\u2a95", "\\eqslantless", true);
+defineSymbol(math, ams, rel, "\u2272", "\\lesssim", true);
+defineSymbol(math, ams, rel, "\u2a85", "\\lessapprox", true);
+defineSymbol(math, ams, rel, "\u224a", "\\approxeq", true);
+defineSymbol(math, ams, bin, "\u22d6", "\\lessdot");
+defineSymbol(math, ams, rel, "\u22d8", "\\lll", true);
+defineSymbol(math, ams, rel, "\u2276", "\\lessgtr", true);
+defineSymbol(math, ams, rel, "\u22da", "\\lesseqgtr", true);
+defineSymbol(math, ams, rel, "\u2a8b", "\\lesseqqgtr", true);
+defineSymbol(math, ams, rel, "\u2251", "\\doteqdot");
+defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq", true);
+defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq", true);
+defineSymbol(math, ams, rel, "\u223d", "\\backsim", true);
+defineSymbol(math, ams, rel, "\u22cd", "\\backsimeq", true);
+defineSymbol(math, ams, rel, "\u2ac5", "\\subseteqq", true);
+defineSymbol(math, ams, rel, "\u22d0", "\\Subset", true);
+defineSymbol(math, ams, rel, "\u228f", "\\sqsubset", true);
+defineSymbol(math, ams, rel, "\u227c", "\\preccurlyeq", true);
+defineSymbol(math, ams, rel, "\u22de", "\\curlyeqprec", true);
+defineSymbol(math, ams, rel, "\u227e", "\\precsim", true);
+defineSymbol(math, ams, rel, "\u2ab7", "\\precapprox", true);
+defineSymbol(math, ams, rel, "\u22b2", "\\vartriangleleft");
+defineSymbol(math, ams, rel, "\u22b4", "\\trianglelefteq");
+defineSymbol(math, ams, rel, "\u22a8", "\\vDash", true);
+defineSymbol(math, ams, rel, "\u22aa", "\\Vvdash", true);
+defineSymbol(math, ams, rel, "\u2323", "\\smallsmile");
+defineSymbol(math, ams, rel, "\u2322", "\\smallfrown");
+defineSymbol(math, ams, rel, "\u224f", "\\bumpeq", true);
+defineSymbol(math, ams, rel, "\u224e", "\\Bumpeq", true);
+defineSymbol(math, ams, rel, "\u2267", "\\geqq", true);
+defineSymbol(math, ams, rel, "\u2a7e", "\\geqslant", true);
+defineSymbol(math, ams, rel, "\u2a96", "\\eqslantgtr", true);
+defineSymbol(math, ams, rel, "\u2273", "\\gtrsim", true);
+defineSymbol(math, ams, rel, "\u2a86", "\\gtrapprox", true);
+defineSymbol(math, ams, bin, "\u22d7", "\\gtrdot");
+defineSymbol(math, ams, rel, "\u22d9", "\\ggg", true);
+defineSymbol(math, ams, rel, "\u2277", "\\gtrless", true);
+defineSymbol(math, ams, rel, "\u22db", "\\gtreqless", true);
+defineSymbol(math, ams, rel, "\u2a8c", "\\gtreqqless", true);
+defineSymbol(math, ams, rel, "\u2256", "\\eqcirc", true);
+defineSymbol(math, ams, rel, "\u2257", "\\circeq", true);
+defineSymbol(math, ams, rel, "\u225c", "\\triangleq", true);
+defineSymbol(math, ams, rel, "\u223c", "\\thicksim");
+defineSymbol(math, ams, rel, "\u2248", "\\thickapprox");
+defineSymbol(math, ams, rel, "\u2ac6", "\\supseteqq", true);
+defineSymbol(math, ams, rel, "\u22d1", "\\Supset", true);
+defineSymbol(math, ams, rel, "\u2290", "\\sqsupset", true);
+defineSymbol(math, ams, rel, "\u227d", "\\succcurlyeq", true);
+defineSymbol(math, ams, rel, "\u22df", "\\curlyeqsucc", true);
+defineSymbol(math, ams, rel, "\u227f", "\\succsim", true);
+defineSymbol(math, ams, rel, "\u2ab8", "\\succapprox", true);
+defineSymbol(math, ams, rel, "\u22b3", "\\vartriangleright");
+defineSymbol(math, ams, rel, "\u22b5", "\\trianglerighteq");
+defineSymbol(math, ams, rel, "\u22a9", "\\Vdash", true);
+defineSymbol(math, ams, rel, "\u2223", "\\shortmid");
+defineSymbol(math, ams, rel, "\u2225", "\\shortparallel");
+defineSymbol(math, ams, rel, "\u226c", "\\between", true);
+defineSymbol(math, ams, rel, "\u22d4", "\\pitchfork", true);
+defineSymbol(math, ams, rel, "\u221d", "\\varpropto");
+defineSymbol(math, ams, rel, "\u25c0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(math, ams, rel, "\u2234", "\\therefore", true);
+defineSymbol(math, ams, rel, "\u220d", "\\backepsilon");
+defineSymbol(math, ams, rel, "\u25b6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom.
+// We kept the amssymb atom type, which is rel.
+
+defineSymbol(math, ams, rel, "\u2235", "\\because", true);
+defineSymbol(math, ams, rel, "\u22d8", "\\llless");
+defineSymbol(math, ams, rel, "\u22d9", "\\gggtr");
+defineSymbol(math, ams, bin, "\u22b2", "\\lhd");
+defineSymbol(math, ams, bin, "\u22b3", "\\rhd");
+defineSymbol(math, ams, rel, "\u2242", "\\eqsim", true);
+defineSymbol(math, main, rel, "\u22c8", "\\Join");
+defineSymbol(math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators
+
+defineSymbol(math, ams, bin, "\u2214", "\\dotplus", true);
+defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus");
+defineSymbol(math, ams, bin, "\u22d2", "\\Cap", true);
+defineSymbol(math, ams, bin, "\u22d3", "\\Cup", true);
+defineSymbol(math, ams, bin, "\u2a5e", "\\doublebarwedge", true);
+defineSymbol(math, ams, bin, "\u229f", "\\boxminus", true);
+defineSymbol(math, ams, bin, "\u229e", "\\boxplus", true);
+defineSymbol(math, ams, bin, "\u22c7", "\\divideontimes", true);
+defineSymbol(math, ams, bin, "\u22c9", "\\ltimes", true);
+defineSymbol(math, ams, bin, "\u22ca", "\\rtimes", true);
+defineSymbol(math, ams, bin, "\u22cb", "\\leftthreetimes", true);
+defineSymbol(math, ams, bin, "\u22cc", "\\rightthreetimes", true);
+defineSymbol(math, ams, bin, "\u22cf", "\\curlywedge", true);
+defineSymbol(math, ams, bin, "\u22ce", "\\curlyvee", true);
+defineSymbol(math, ams, bin, "\u229d", "\\circleddash", true);
+defineSymbol(math, ams, bin, "\u229b", "\\circledast", true);
+defineSymbol(math, ams, bin, "\u22c5", "\\centerdot");
+defineSymbol(math, ams, bin, "\u22ba", "\\intercal", true);
+defineSymbol(math, ams, bin, "\u22d2", "\\doublecap");
+defineSymbol(math, ams, bin, "\u22d3", "\\doublecup");
+defineSymbol(math, ams, bin, "\u22a0", "\\boxtimes", true); // AMS Arrows
+// Note: unicode-math maps \u21e2 to their own function \rightdasharrow.
+// We'll map it to AMS function \dashrightarrow. It produces the same atom.
+
+defineSymbol(math, ams, rel, "\u21e2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u21e0", "\\dashleftarrow", true);
+defineSymbol(math, ams, rel, "\u21c7", "\\leftleftarrows", true);
+defineSymbol(math, ams, rel, "\u21c6", "\\leftrightarrows", true);
+defineSymbol(math, ams, rel, "\u21da", "\\Lleftarrow", true);
+defineSymbol(math, ams, rel, "\u219e", "\\twoheadleftarrow", true);
+defineSymbol(math, ams, rel, "\u21a2", "\\leftarrowtail", true);
+defineSymbol(math, ams, rel, "\u21ab", "\\looparrowleft", true);
+defineSymbol(math, ams, rel, "\u21cb", "\\leftrightharpoons", true);
+defineSymbol(math, ams, rel, "\u21b6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u21ba", "\\circlearrowleft", true);
+defineSymbol(math, ams, rel, "\u21b0", "\\Lsh", true);
+defineSymbol(math, ams, rel, "\u21c8", "\\upuparrows", true);
+defineSymbol(math, ams, rel, "\u21bf", "\\upharpoonleft", true);
+defineSymbol(math, ams, rel, "\u21c3", "\\downharpoonleft", true);
+defineSymbol(math, ams, rel, "\u22b8", "\\multimap", true);
+defineSymbol(math, ams, rel, "\u21ad", "\\leftrightsquigarrow", true);
+defineSymbol(math, ams, rel, "\u21c9", "\\rightrightarrows", true);
+defineSymbol(math, ams, rel, "\u21c4", "\\rightleftarrows", true);
+defineSymbol(math, ams, rel, "\u21a0", "\\twoheadrightarrow", true);
+defineSymbol(math, ams, rel, "\u21a3", "\\rightarrowtail", true);
+defineSymbol(math, ams, rel, "\u21ac", "\\looparrowright", true);
+defineSymbol(math, ams, rel, "\u21b7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym.
+
+defineSymbol(math, ams, rel, "\u21bb", "\\circlearrowright", true);
+defineSymbol(math, ams, rel, "\u21b1", "\\Rsh", true);
+defineSymbol(math, ams, rel, "\u21ca", "\\downdownarrows", true);
+defineSymbol(math, ams, rel, "\u21be", "\\upharpoonright", true);
+defineSymbol(math, ams, rel, "\u21c2", "\\downharpoonright", true);
+defineSymbol(math, ams, rel, "\u21dd", "\\rightsquigarrow", true);
+defineSymbol(math, ams, rel, "\u21dd", "\\leadsto");
+defineSymbol(math, ams, rel, "\u21db", "\\Rrightarrow", true);
+defineSymbol(math, ams, rel, "\u21be", "\\restriction");
+defineSymbol(math, main, textord, "\u2018", "`");
+defineSymbol(math, main, textord, "$", "\\$");
+defineSymbol(text$1, main, textord, "$", "\\$");
+defineSymbol(text$1, main, textord, "$", "\\textdollar");
+defineSymbol(math, main, textord, "%", "\\%");
+defineSymbol(text$1, main, textord, "%", "\\%");
+defineSymbol(math, main, textord, "_", "\\_");
+defineSymbol(text$1, main, textord, "_", "\\_");
+defineSymbol(text$1, main, textord, "_", "\\textunderscore");
+defineSymbol(math, main, textord, "\u2220", "\\angle", true);
+defineSymbol(math, main, textord, "\u221e", "\\infty", true);
+defineSymbol(math, main, textord, "\u2032", "\\prime");
+defineSymbol(math, main, textord, "\u25b3", "\\triangle");
+defineSymbol(math, main, textord, "\u0393", "\\Gamma", true);
+defineSymbol(math, main, textord, "\u0394", "\\Delta", true);
+defineSymbol(math, main, textord, "\u0398", "\\Theta", true);
+defineSymbol(math, main, textord, "\u039b", "\\Lambda", true);
+defineSymbol(math, main, textord, "\u039e", "\\Xi", true);
+defineSymbol(math, main, textord, "\u03a0", "\\Pi", true);
+defineSymbol(math, main, textord, "\u03a3", "\\Sigma", true);
+defineSymbol(math, main, textord, "\u03a5", "\\Upsilon", true);
+defineSymbol(math, main, textord, "\u03a6", "\\Phi", true);
+defineSymbol(math, main, textord, "\u03a8", "\\Psi", true);
+defineSymbol(math, main, textord, "\u03a9", "\\Omega", true);
+defineSymbol(math, main, textord, "A", "\u0391");
+defineSymbol(math, main, textord, "B", "\u0392");
+defineSymbol(math, main, textord, "E", "\u0395");
+defineSymbol(math, main, textord, "Z", "\u0396");
+defineSymbol(math, main, textord, "H", "\u0397");
+defineSymbol(math, main, textord, "I", "\u0399");
+defineSymbol(math, main, textord, "K", "\u039A");
+defineSymbol(math, main, textord, "M", "\u039C");
+defineSymbol(math, main, textord, "N", "\u039D");
+defineSymbol(math, main, textord, "O", "\u039F");
+defineSymbol(math, main, textord, "P", "\u03A1");
+defineSymbol(math, main, textord, "T", "\u03A4");
+defineSymbol(math, main, textord, "X", "\u03A7");
+defineSymbol(math, main, textord, "\u00ac", "\\neg", true);
+defineSymbol(math, main, textord, "\u00ac", "\\lnot");
+defineSymbol(math, main, textord, "\u22a4", "\\top");
+defineSymbol(math, main, textord, "\u22a5", "\\bot");
+defineSymbol(math, main, textord, "\u2205", "\\emptyset");
+defineSymbol(math, ams, textord, "\u2205", "\\varnothing");
+defineSymbol(math, main, mathord, "\u03b1", "\\alpha", true);
+defineSymbol(math, main, mathord, "\u03b2", "\\beta", true);
+defineSymbol(math, main, mathord, "\u03b3", "\\gamma", true);
+defineSymbol(math, main, mathord, "\u03b4", "\\delta", true);
+defineSymbol(math, main, mathord, "\u03f5", "\\epsilon", true);
+defineSymbol(math, main, mathord, "\u03b6", "\\zeta", true);
+defineSymbol(math, main, mathord, "\u03b7", "\\eta", true);
+defineSymbol(math, main, mathord, "\u03b8", "\\theta", true);
+defineSymbol(math, main, mathord, "\u03b9", "\\iota", true);
+defineSymbol(math, main, mathord, "\u03ba", "\\kappa", true);
+defineSymbol(math, main, mathord, "\u03bb", "\\lambda", true);
+defineSymbol(math, main, mathord, "\u03bc", "\\mu", true);
+defineSymbol(math, main, mathord, "\u03bd", "\\nu", true);
+defineSymbol(math, main, mathord, "\u03be", "\\xi", true);
+defineSymbol(math, main, mathord, "\u03bf", "\\omicron", true);
+defineSymbol(math, main, mathord, "\u03c0", "\\pi", true);
+defineSymbol(math, main, mathord, "\u03c1", "\\rho", true);
+defineSymbol(math, main, mathord, "\u03c3", "\\sigma", true);
+defineSymbol(math, main, mathord, "\u03c4", "\\tau", true);
+defineSymbol(math, main, mathord, "\u03c5", "\\upsilon", true);
+defineSymbol(math, main, mathord, "\u03d5", "\\phi", true);
+defineSymbol(math, main, mathord, "\u03c7", "\\chi", true);
+defineSymbol(math, main, mathord, "\u03c8", "\\psi", true);
+defineSymbol(math, main, mathord, "\u03c9", "\\omega", true);
+defineSymbol(math, main, mathord, "\u03b5", "\\varepsilon", true);
+defineSymbol(math, main, mathord, "\u03d1", "\\vartheta", true);
+defineSymbol(math, main, mathord, "\u03d6", "\\varpi", true);
+defineSymbol(math, main, mathord, "\u03f1", "\\varrho", true);
+defineSymbol(math, main, mathord, "\u03c2", "\\varsigma", true);
+defineSymbol(math, main, mathord, "\u03c6", "\\varphi", true);
+defineSymbol(math, main, bin, "\u2217", "*");
+defineSymbol(math, main, bin, "+", "+");
+defineSymbol(math, main, bin, "\u2212", "-");
+defineSymbol(math, main, bin, "\u22c5", "\\cdot", true);
+defineSymbol(math, main, bin, "\u2218", "\\circ");
+defineSymbol(math, main, bin, "\u00f7", "\\div", true);
+defineSymbol(math, main, bin, "\u00b1", "\\pm", true);
+defineSymbol(math, main, bin, "\u00d7", "\\times", true);
+defineSymbol(math, main, bin, "\u2229", "\\cap", true);
+defineSymbol(math, main, bin, "\u222a", "\\cup", true);
+defineSymbol(math, main, bin, "\u2216", "\\setminus");
+defineSymbol(math, main, bin, "\u2227", "\\land");
+defineSymbol(math, main, bin, "\u2228", "\\lor");
+defineSymbol(math, main, bin, "\u2227", "\\wedge", true);
+defineSymbol(math, main, bin, "\u2228", "\\vee", true);
+defineSymbol(math, main, textord, "\u221a", "\\surd");
+defineSymbol(math, main, open, "\u27e8", "\\langle", true);
+defineSymbol(math, main, open, "\u2223", "\\lvert");
+defineSymbol(math, main, open, "\u2225", "\\lVert");
+defineSymbol(math, main, close, "?", "?");
+defineSymbol(math, main, close, "!", "!");
+defineSymbol(math, main, close, "\u27e9", "\\rangle", true);
+defineSymbol(math, main, close, "\u2223", "\\rvert");
+defineSymbol(math, main, close, "\u2225", "\\rVert");
+defineSymbol(math, main, rel, "=", "=");
+defineSymbol(math, main, rel, ":", ":");
+defineSymbol(math, main, rel, "\u2248", "\\approx", true);
+defineSymbol(math, main, rel, "\u2245", "\\cong", true);
+defineSymbol(math, main, rel, "\u2265", "\\ge");
+defineSymbol(math, main, rel, "\u2265", "\\geq", true);
+defineSymbol(math, main, rel, "\u2190", "\\gets");
+defineSymbol(math, main, rel, ">", "\\gt", true);
+defineSymbol(math, main, rel, "\u2208", "\\in", true);
+defineSymbol(math, main, rel, "\ue020", "\\@not");
+defineSymbol(math, main, rel, "\u2282", "\\subset", true);
+defineSymbol(math, main, rel, "\u2283", "\\supset", true);
+defineSymbol(math, main, rel, "\u2286", "\\subseteq", true);
+defineSymbol(math, main, rel, "\u2287", "\\supseteq", true);
+defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq", true);
+defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq", true);
+defineSymbol(math, main, rel, "\u22a8", "\\models");
+defineSymbol(math, main, rel, "\u2190", "\\leftarrow", true);
+defineSymbol(math, main, rel, "\u2264", "\\le");
+defineSymbol(math, main, rel, "\u2264", "\\leq", true);
+defineSymbol(math, main, rel, "<", "\\lt", true);
+defineSymbol(math, main, rel, "\u2192", "\\rightarrow", true);
+defineSymbol(math, main, rel, "\u2192", "\\to");
+defineSymbol(math, ams, rel, "\u2271", "\\ngeq", true);
+defineSymbol(math, ams, rel, "\u2270", "\\nleq", true);
+defineSymbol(math, main, spacing, "\u00a0", "\\ ");
+defineSymbol(math, main, spacing, "\u00a0", "~");
+defineSymbol(math, main, spacing, "\u00a0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%
+
+defineSymbol(math, main, spacing, "\u00a0", "\\nobreakspace");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\ ");
+defineSymbol(text$1, main, spacing, "\u00a0", " ");
+defineSymbol(text$1, main, spacing, "\u00a0", "~");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\space");
+defineSymbol(text$1, main, spacing, "\u00a0", "\\nobreakspace");
+defineSymbol(math, main, spacing, null, "\\nobreak");
+defineSymbol(math, main, spacing, null, "\\allowbreak");
+defineSymbol(math, main, punct, ",", ",");
+defineSymbol(math, main, punct, ";", ";");
+defineSymbol(math, ams, bin, "\u22bc", "\\barwedge", true);
+defineSymbol(math, ams, bin, "\u22bb", "\\veebar", true);
+defineSymbol(math, main, bin, "\u2299", "\\odot", true);
+defineSymbol(math, main, bin, "\u2295", "\\oplus", true);
+defineSymbol(math, main, bin, "\u2297", "\\otimes", true);
+defineSymbol(math, main, textord, "\u2202", "\\partial", true);
+defineSymbol(math, main, bin, "\u2298", "\\oslash", true);
+defineSymbol(math, ams, bin, "\u229a", "\\circledcirc", true);
+defineSymbol(math, ams, bin, "\u22a1", "\\boxdot", true);
+defineSymbol(math, main, bin, "\u25b3", "\\bigtriangleup");
+defineSymbol(math, main, bin, "\u25bd", "\\bigtriangledown");
+defineSymbol(math, main, bin, "\u2020", "\\dagger");
+defineSymbol(math, main, bin, "\u22c4", "\\diamond");
+defineSymbol(math, main, bin, "\u22c6", "\\star");
+defineSymbol(math, main, bin, "\u25c3", "\\triangleleft");
+defineSymbol(math, main, bin, "\u25b9", "\\triangleright");
+defineSymbol(math, main, open, "{", "\\{");
+defineSymbol(text$1, main, textord, "{", "\\{");
+defineSymbol(text$1, main, textord, "{", "\\textbraceleft");
+defineSymbol(math, main, close, "}", "\\}");
+defineSymbol(text$1, main, textord, "}", "\\}");
+defineSymbol(text$1, main, textord, "}", "\\textbraceright");
+defineSymbol(math, main, open, "{", "\\lbrace");
+defineSymbol(math, main, close, "}", "\\rbrace");
+defineSymbol(math, main, open, "[", "\\lbrack", true);
+defineSymbol(text$1, main, textord, "[", "\\lbrack", true);
+defineSymbol(math, main, close, "]", "\\rbrack", true);
+defineSymbol(text$1, main, textord, "]", "\\rbrack", true);
+defineSymbol(math, main, open, "(", "\\lparen", true);
+defineSymbol(math, main, close, ")", "\\rparen", true);
+defineSymbol(text$1, main, textord, "<", "\\textless", true); // in T1 fontenc
+
+defineSymbol(text$1, main, textord, ">", "\\textgreater", true); // in T1 fontenc
+
+defineSymbol(math, main, open, "\u230a", "\\lfloor", true);
+defineSymbol(math, main, close, "\u230b", "\\rfloor", true);
+defineSymbol(math, main, open, "\u2308", "\\lceil", true);
+defineSymbol(math, main, close, "\u2309", "\\rceil", true);
+defineSymbol(math, main, textord, "\\", "\\backslash");
+defineSymbol(math, main, textord, "\u2223", "|");
+defineSymbol(math, main, textord, "\u2223", "\\vert");
+defineSymbol(text$1, main, textord, "|", "\\textbar", true); // in T1 fontenc
+
+defineSymbol(math, main, textord, "\u2225", "\\|");
+defineSymbol(math, main, textord, "\u2225", "\\Vert");
+defineSymbol(text$1, main, textord, "\u2225", "\\textbardbl");
+defineSymbol(text$1, main, textord, "~", "\\textasciitilde");
+defineSymbol(text$1, main, textord, "\\", "\\textbackslash");
+defineSymbol(text$1, main, textord, "^", "\\textasciicircum");
+defineSymbol(math, main, rel, "\u2191", "\\uparrow", true);
+defineSymbol(math, main, rel, "\u21d1", "\\Uparrow", true);
+defineSymbol(math, main, rel, "\u2193", "\\downarrow", true);
+defineSymbol(math, main, rel, "\u21d3", "\\Downarrow", true);
+defineSymbol(math, main, rel, "\u2195", "\\updownarrow", true);
+defineSymbol(math, main, rel, "\u21d5", "\\Updownarrow", true);
+defineSymbol(math, main, op, "\u2210", "\\coprod");
+defineSymbol(math, main, op, "\u22c1", "\\bigvee");
+defineSymbol(math, main, op, "\u22c0", "\\bigwedge");
+defineSymbol(math, main, op, "\u2a04", "\\biguplus");
+defineSymbol(math, main, op, "\u22c2", "\\bigcap");
+defineSymbol(math, main, op, "\u22c3", "\\bigcup");
+defineSymbol(math, main, op, "\u222b", "\\int");
+defineSymbol(math, main, op, "\u222b", "\\intop");
+defineSymbol(math, main, op, "\u222c", "\\iint");
+defineSymbol(math, main, op, "\u222d", "\\iiint");
+defineSymbol(math, main, op, "\u220f", "\\prod");
+defineSymbol(math, main, op, "\u2211", "\\sum");
+defineSymbol(math, main, op, "\u2a02", "\\bigotimes");
+defineSymbol(math, main, op, "\u2a01", "\\bigoplus");
+defineSymbol(math, main, op, "\u2a00", "\\bigodot");
+defineSymbol(math, main, op, "\u222e", "\\oint");
+defineSymbol(math, main, op, "\u2a06", "\\bigsqcup");
+defineSymbol(math, main, op, "\u222b", "\\smallint");
+defineSymbol(text$1, main, inner, "\u2026", "\\textellipsis");
+defineSymbol(math, main, inner, "\u2026", "\\mathellipsis");
+defineSymbol(text$1, main, inner, "\u2026", "\\ldots", true);
+defineSymbol(math, main, inner, "\u2026", "\\ldots", true);
+defineSymbol(math, main, inner, "\u22ef", "\\@cdots", true);
+defineSymbol(math, main, inner, "\u22f1", "\\ddots", true);
+defineSymbol(math, main, textord, "\u22ee", "\\varvdots"); // \vdots is a macro
+
+defineSymbol(math, main, accent, "\u02ca", "\\acute");
+defineSymbol(math, main, accent, "\u02cb", "\\grave");
+defineSymbol(math, main, accent, "\u00a8", "\\ddot");
+defineSymbol(math, main, accent, "\u007e", "\\tilde");
+defineSymbol(math, main, accent, "\u02c9", "\\bar");
+defineSymbol(math, main, accent, "\u02d8", "\\breve");
+defineSymbol(math, main, accent, "\u02c7", "\\check");
+defineSymbol(math, main, accent, "\u005e", "\\hat");
+defineSymbol(math, main, accent, "\u20d7", "\\vec");
+defineSymbol(math, main, accent, "\u02d9", "\\dot");
+defineSymbol(math, main, accent, "\u02da", "\\mathring"); // \imath and \jmath should be invariant to \mathrm, \mathbf, etc., so use PUA
+
+defineSymbol(math, main, mathord, "\ue131", "\\@imath");
+defineSymbol(math, main, mathord, "\ue237", "\\@jmath");
+defineSymbol(math, main, textord, "\u0131", "\u0131");
+defineSymbol(math, main, textord, "\u0237", "\u0237");
+defineSymbol(text$1, main, textord, "\u0131", "\\i", true);
+defineSymbol(text$1, main, textord, "\u0237", "\\j", true);
+defineSymbol(text$1, main, textord, "\u00df", "\\ss", true);
+defineSymbol(text$1, main, textord, "\u00e6", "\\ae", true);
+defineSymbol(text$1, main, textord, "\u0153", "\\oe", true);
+defineSymbol(text$1, main, textord, "\u00f8", "\\o", true);
+defineSymbol(text$1, main, textord, "\u00c6", "\\AE", true);
+defineSymbol(text$1, main, textord, "\u0152", "\\OE", true);
+defineSymbol(text$1, main, textord, "\u00d8", "\\O", true);
+defineSymbol(text$1, main, accent, "\u02ca", "\\'"); // acute
+
+defineSymbol(text$1, main, accent, "\u02cb", "\\`"); // grave
+
+defineSymbol(text$1, main, accent, "\u02c6", "\\^"); // circumflex
+
+defineSymbol(text$1, main, accent, "\u02dc", "\\~"); // tilde
+
+defineSymbol(text$1, main, accent, "\u02c9", "\\="); // macron
+
+defineSymbol(text$1, main, accent, "\u02d8", "\\u"); // breve
+
+defineSymbol(text$1, main, accent, "\u02d9", "\\."); // dot above
+
+defineSymbol(text$1, main, accent, "\u02da", "\\r"); // ring above
+
+defineSymbol(text$1, main, accent, "\u02c7", "\\v"); // caron
+
+defineSymbol(text$1, main, accent, "\u00a8", '\\"'); // diaresis
+
+defineSymbol(text$1, main, accent, "\u02dd", "\\H"); // double acute
+
+defineSymbol(text$1, main, accent, "\u25ef", "\\textcircled"); // \bigcirc glyph
+// These ligatures are detected and created in Parser.js's `formLigatures`.
+
+const ligatures = {
+  "--": true,
+  "---": true,
+  "``": true,
+  "''": true
+};
+defineSymbol(text$1, main, textord, "\u2013", "--", true);
+defineSymbol(text$1, main, textord, "\u2013", "\\textendash");
+defineSymbol(text$1, main, textord, "\u2014", "---", true);
+defineSymbol(text$1, main, textord, "\u2014", "\\textemdash");
+defineSymbol(text$1, main, textord, "\u2018", "`", true);
+defineSymbol(text$1, main, textord, "\u2018", "\\textquoteleft");
+defineSymbol(text$1, main, textord, "\u2019", "'", true);
+defineSymbol(text$1, main, textord, "\u2019", "\\textquoteright");
+defineSymbol(text$1, main, textord, "\u201c", "``", true);
+defineSymbol(text$1, main, textord, "\u201c", "\\textquotedblleft");
+defineSymbol(text$1, main, textord, "\u201d", "''", true);
+defineSymbol(text$1, main, textord, "\u201d", "\\textquotedblright"); //  \degree from gensymb package
+
+defineSymbol(math, main, textord, "\u00b0", "\\degree", true);
+defineSymbol(text$1, main, textord, "\u00b0", "\\degree"); // \textdegree from inputenc package
+
+defineSymbol(text$1, main, textord, "\u00b0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math
+// mode, but among our fonts, only Main-Regular defines this character "163".
+
+defineSymbol(math, main, textord, "\u00a3", "\\pounds");
+defineSymbol(math, main, textord, "\u00a3", "\\mathsterling", true);
+defineSymbol(text$1, main, textord, "\u00a3", "\\pounds");
+defineSymbol(text$1, main, textord, "\u00a3", "\\textsterling", true);
+defineSymbol(math, ams, textord, "\u2720", "\\maltese");
+defineSymbol(text$1, ams, textord, "\u2720", "\\maltese"); // There are lots of symbols which are the same, so we add them in afterwards.
+// All of these are textords in math mode
+
+const mathTextSymbols = "0123456789/@.\"";
+
+for (let i = 0; i < mathTextSymbols.length; i++) {
+  const ch = mathTextSymbols.charAt(i);
+  defineSymbol(math, main, textord, ch, ch);
+} // All of these are textords in text mode
+
+
+const textSymbols = "0123456789!@*()-=+\";:?/.,";
+
+for (let i = 0; i < textSymbols.length; i++) {
+  const ch = textSymbols.charAt(i);
+  defineSymbol(text$1, main, textord, ch, ch);
+} // All of these are textords in text mode, and mathords in math mode
+
+
+const letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
+
+for (let i = 0; i < letters.length; i++) {
+  const ch = letters.charAt(i);
+  defineSymbol(math, main, mathord, ch, ch);
+  defineSymbol(text$1, main, textord, ch, ch);
+} // Blackboard bold and script letters in Unicode range
+
+
+defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold
+
+defineSymbol(text$1, ams, textord, "C", "\u2102");
+defineSymbol(math, ams, textord, "H", "\u210D");
+defineSymbol(text$1, ams, textord, "H", "\u210D");
+defineSymbol(math, ams, textord, "N", "\u2115");
+defineSymbol(text$1, ams, textord, "N", "\u2115");
+defineSymbol(math, ams, textord, "P", "\u2119");
+defineSymbol(text$1, ams, textord, "P", "\u2119");
+defineSymbol(math, ams, textord, "Q", "\u211A");
+defineSymbol(text$1, ams, textord, "Q", "\u211A");
+defineSymbol(math, ams, textord, "R", "\u211D");
+defineSymbol(text$1, ams, textord, "R", "\u211D");
+defineSymbol(math, ams, textord, "Z", "\u2124");
+defineSymbol(text$1, ams, textord, "Z", "\u2124");
+defineSymbol(math, main, mathord, "h", "\u210E"); // italic h, Planck constant
+
+defineSymbol(text$1, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters.
+// We support some letters in the Unicode range U+1D400 to U+1D7FF,
+// Mathematical Alphanumeric Symbols.
+// Some editors do not deal well with wide characters. So don't write the
+// string into this file. Instead, create the string from the surrogate pair.
+
+let wideChar = "";
+
+for (let i = 0; i < letters.length; i++) {
+  const ch = letters.charAt(i); // The hex numbers in the next line are a surrogate pair.
+  // 0xD835 is the high surrogate for all letters in the range we support.
+  // 0xDC00 is the low surrogate for bold A.
+
+  wideChar = String.fromCharCode(0xD835, 0xDC00 + i); // A-Z a-z bold
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDC34 + i); // A-Z a-z italic
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDC68 + i); // A-Z a-z bold italic
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDD04 + i); // A-Z a-z Fractur
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDDA0 + i); // A-Z a-z sans-serif
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDDD4 + i); // A-Z a-z sans bold
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDE08 + i); // A-Z a-z sans italic
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDE70 + i); // A-Z a-z monospace
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+
+  if (i < 26) {
+    // KaTeX fonts have only capital letters for blackboard bold and script.
+    // See exception for k below.
+    wideChar = String.fromCharCode(0xD835, 0xDD38 + i); // A-Z double struck
+
+    defineSymbol(math, main, mathord, ch, wideChar);
+    defineSymbol(text$1, main, textord, ch, wideChar);
+    wideChar = String.fromCharCode(0xD835, 0xDC9C + i); // A-Z script
+
+    defineSymbol(math, main, mathord, ch, wideChar);
+    defineSymbol(text$1, main, textord, ch, wideChar);
+  } // TODO: Add bold script when it is supported by a KaTeX font.
+
+} // "k" is the only double struck lower case letter in the KaTeX fonts.
+
+
+wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck
+
+defineSymbol(math, main, mathord, "k", wideChar);
+defineSymbol(text$1, main, textord, "k", wideChar); // Next, some wide character numerals
+
+for (let i = 0; i < 10; i++) {
+  const ch = i.toString();
+  wideChar = String.fromCharCode(0xD835, 0xDFCE + i); // 0-9 bold
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDFE2 + i); // 0-9 sans serif
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDFEC + i); // 0-9 bold sans
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+  wideChar = String.fromCharCode(0xD835, 0xDFF6 + i); // 0-9 monospace
+
+  defineSymbol(math, main, mathord, ch, wideChar);
+  defineSymbol(text$1, main, textord, ch, wideChar);
+} // We add these Latin-1 letters as symbols for backwards-compatibility,
+// but they are not actually in the font, nor are they supported by the
+// Unicode accent mechanism, so they fall back to Times font and look ugly.
+// TODO(edemaine): Fix this.
+
+
+const extraLatin = "\u00c7\u00d0\u00de\u00e7\u00fe";
+
+for (let i = 0; i < extraLatin.length; i++) {
+  const ch = extraLatin.charAt(i);
+  defineSymbol(math, main, mathord, ch, ch);
+  defineSymbol(text$1, main, textord, ch, ch);
+}
+
+/**
+ * This file provides support for Unicode range U+1D400 to U+1D7FF,
+ * Mathematical Alphanumeric Symbols.
+ *
+ * Function wideCharacterFont takes a wide character as input and returns
+ * the font information necessary to render it properly.
+ */
+/**
+ * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf
+ * That document sorts characters into groups by font type, say bold or italic.
+ *
+ * In the arrays below, each subarray consists three elements:
+ *      * The CSS class of that group when in math mode.
+ *      * The CSS class of that group when in text mode.
+ *      * The font name, so that KaTeX can get font metrics.
+ */
+
+const wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright
+["mathbf", "textbf", "Main-Bold"], // a-z bold upright
+["mathnormal", "textit", "Math-Italic"], // A-Z italic
+["mathnormal", "textit", "Math-Italic"], // a-z italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic
+["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic
+// Map fancy A-Z letters to script, not calligraphic.
+// This aligns with unicode-math and math fonts (except Cambria Math).
+["mathscr", "textscr", "Script-Regular"], // A-Z script
+["", "", ""], // a-z script.  No font
+["", "", ""], // A-Z bold script. No font
+["", "", ""], // a-z bold script. No font
+["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur
+["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur
+["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck
+["mathbb", "textbb", "AMS-Regular"], // k double-struck
+["", "", ""], // A-Z bold Fraktur No font metrics
+["", "", ""], // a-z bold Fraktur.   No font.
+["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif
+["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif
+["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif
+["", "", ""], // A-Z bold italic sans. No font
+["", "", ""], // a-z bold italic sans. No font
+["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace
+["mathtt", "texttt", "Typewriter-Regular"]];
+const wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold
+["", "", ""], // 0-9 double-struck. No KaTeX font.
+["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif
+["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif
+["mathtt", "texttt", "Typewriter-Regular"]];
+const wideCharacterFont = function wideCharacterFont(wideChar, mode) {
+  // IE doesn't support codePointAt(). So work with the surrogate pair.
+  const H = wideChar.charCodeAt(0); // high surrogate
+
+  const L = wideChar.charCodeAt(1); // low surrogate
+
+  const codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000;
+  const j = mode === "math" ? 0 : 1; // column index for CSS class.
+
+  if (0x1D400 <= codePoint && codePoint < 0x1D6A4) {
+    // wideLatinLetterData contains exactly 26 chars on each row.
+    // So we can calculate the relevant row. No traverse necessary.
+    const i = Math.floor((codePoint - 0x1D400) / 26);
+    return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]];
+  } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) {
+    // Numerals, ten per row.
+    const i = Math.floor((codePoint - 0x1D7CE) / 10);
+    return [wideNumeralData[i][2], wideNumeralData[i][j]];
+  } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) {
+    // dotless i or j
+    return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]];
+  } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) {
+    // Greek letters. Not supported, yet.
+    return ["", ""];
+  } else {
+    // We don't support any wide characters outside 1D400–1D7FF.
+    throw new ParseError("Unsupported character: " + wideChar);
+  }
+};
+
+/**
+ * This file contains information about the options that the Parser carries
+ * around with it while parsing. Data is held in an `Options` object, and when
+ * recursing, a new `Options` object can be created with the `.with*` and
+ * `.reset` functions.
+ */
+const sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize].
+// The size mappings are taken from TeX with \normalsize=10pt.
+[1, 1, 1], // size1: [5, 5, 5]              \tiny
+[2, 1, 1], // size2: [6, 5, 5]
+[3, 1, 1], // size3: [7, 5, 5]              \scriptsize
+[4, 2, 1], // size4: [8, 6, 5]              \footnotesize
+[5, 2, 1], // size5: [9, 6, 5]              \small
+[6, 3, 1], // size6: [10, 7, 5]             \normalsize
+[7, 4, 2], // size7: [12, 8, 6]             \large
+[8, 6, 3], // size8: [14.4, 10, 7]          \Large
+[9, 7, 6], // size9: [17.28, 12, 10]        \LARGE
+[10, 8, 7], // size10: [20.74, 14.4, 12]     \huge
+[11, 10, 9]];
+const sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if
+// you change size indexes, change that function.
+0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488];
+
+const sizeAtStyle = function sizeAtStyle(size, style) {
+  return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1];
+}; // In these types, "" (empty string) means "no change".
+
+
+/**
+ * This is the main options class. It contains the current style, size, color,
+ * and font.
+ *
+ * Options objects should not be modified. To create a new Options with
+ * different properties, call a `.having*` method.
+ */
+class Options {
+  // A font family applies to a group of fonts (i.e. SansSerif), while a font
+  // represents a specific font (i.e. SansSerif Bold).
+  // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm
+
+  /**
+   * The base size index.
+   */
+  constructor(data) {
+    this.style = void 0;
+    this.color = void 0;
+    this.size = void 0;
+    this.textSize = void 0;
+    this.phantom = void 0;
+    this.font = void 0;
+    this.fontFamily = void 0;
+    this.fontWeight = void 0;
+    this.fontShape = void 0;
+    this.sizeMultiplier = void 0;
+    this.maxSize = void 0;
+    this.minRuleThickness = void 0;
+    this._fontMetrics = void 0;
+    this.style = data.style;
+    this.color = data.color;
+    this.size = data.size || Options.BASESIZE;
+    this.textSize = data.textSize || this.size;
+    this.phantom = !!data.phantom;
+    this.font = data.font || "";
+    this.fontFamily = data.fontFamily || "";
+    this.fontWeight = data.fontWeight || '';
+    this.fontShape = data.fontShape || '';
+    this.sizeMultiplier = sizeMultipliers[this.size - 1];
+    this.maxSize = data.maxSize;
+    this.minRuleThickness = data.minRuleThickness;
+    this._fontMetrics = undefined;
+  }
+  /**
+   * Returns a new options object with the same properties as "this".  Properties
+   * from "extension" will be copied to the new options object.
+   */
+
+
+  extend(extension) {
+    const data = {
+      style: this.style,
+      size: this.size,
+      textSize: this.textSize,
+      color: this.color,
+      phantom: this.phantom,
+      font: this.font,
+      fontFamily: this.fontFamily,
+      fontWeight: this.fontWeight,
+      fontShape: this.fontShape,
+      maxSize: this.maxSize,
+      minRuleThickness: this.minRuleThickness
+    };
+
+    for (const key in extension) {
+      if (extension.hasOwnProperty(key)) {
+        data[key] = extension[key];
+      }
+    }
+
+    return new Options(data);
+  }
+  /**
+   * Return an options object with the given style. If `this.style === style`,
+   * returns `this`.
+   */
+
+
+  havingStyle(style) {
+    if (this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: sizeAtStyle(this.textSize, style)
+      });
+    }
+  }
+  /**
+   * Return an options object with a cramped version of the current style. If
+   * the current style is cramped, returns `this`.
+   */
+
+
+  havingCrampedStyle() {
+    return this.havingStyle(this.style.cramp());
+  }
+  /**
+   * Return an options object with the given size and in at least `\textstyle`.
+   * Returns `this` if appropriate.
+   */
+
+
+  havingSize(size) {
+    if (this.size === size && this.textSize === size) {
+      return this;
+    } else {
+      return this.extend({
+        style: this.style.text(),
+        size: size,
+        textSize: size,
+        sizeMultiplier: sizeMultipliers[size - 1]
+      });
+    }
+  }
+  /**
+   * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted,
+   * changes to at least `\textstyle`.
+   */
+
+
+  havingBaseStyle(style) {
+    style = style || this.style.text();
+    const wantSize = sizeAtStyle(Options.BASESIZE, style);
+
+    if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) {
+      return this;
+    } else {
+      return this.extend({
+        style: style,
+        size: wantSize
+      });
+    }
+  }
+  /**
+   * Remove the effect of sizing changes such as \Huge.
+   * Keep the effect of the current style, such as \scriptstyle.
+   */
+
+
+  havingBaseSizing() {
+    let size;
+
+    switch (this.style.id) {
+      case 4:
+      case 5:
+        size = 3; // normalsize in scriptstyle
+
+        break;
+
+      case 6:
+      case 7:
+        size = 1; // normalsize in scriptscriptstyle
+
+        break;
+
+      default:
+        size = 6;
+      // normalsize in textstyle or displaystyle
+    }
+
+    return this.extend({
+      style: this.style.text(),
+      size: size
+    });
+  }
+  /**
+   * Create a new options object with the given color.
+   */
+
+
+  withColor(color) {
+    return this.extend({
+      color: color
+    });
+  }
+  /**
+   * Create a new options object with "phantom" set to true.
+   */
+
+
+  withPhantom() {
+    return this.extend({
+      phantom: true
+    });
+  }
+  /**
+   * Creates a new options object with the given math font or old text font.
+   * @type {[type]}
+   */
+
+
+  withFont(font) {
+    return this.extend({
+      font
+    });
+  }
+  /**
+   * Create a new options objects with the given fontFamily.
+   */
+
+
+  withTextFontFamily(fontFamily) {
+    return this.extend({
+      fontFamily,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+
+
+  withTextFontWeight(fontWeight) {
+    return this.extend({
+      fontWeight,
+      font: ""
+    });
+  }
+  /**
+   * Creates a new options object with the given font weight
+   */
+
+
+  withTextFontShape(fontShape) {
+    return this.extend({
+      fontShape,
+      font: ""
+    });
+  }
+  /**
+   * Return the CSS sizing classes required to switch from enclosing options
+   * `oldOptions` to `this`. Returns an array of classes.
+   */
+
+
+  sizingClasses(oldOptions) {
+    if (oldOptions.size !== this.size) {
+      return ["sizing", "reset-size" + oldOptions.size, "size" + this.size];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the CSS sizing classes required to switch to the base size. Like
+   * `this.havingSize(BASESIZE).sizingClasses(this)`.
+   */
+
+
+  baseSizingClasses() {
+    if (this.size !== Options.BASESIZE) {
+      return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE];
+    } else {
+      return [];
+    }
+  }
+  /**
+   * Return the font metrics for this size.
+   */
+
+
+  fontMetrics() {
+    if (!this._fontMetrics) {
+      this._fontMetrics = getGlobalMetrics(this.size);
+    }
+
+    return this._fontMetrics;
+  }
+  /**
+   * Gets the CSS color of the current options object
+   */
+
+
+  getColor() {
+    if (this.phantom) {
+      return "transparent";
+    } else {
+      return this.color;
+    }
+  }
+
+}
+
+Options.BASESIZE = 6;
+
+/**
+ * This file does conversion between units.  In particular, it provides
+ * calculateSize to convert other units into ems.
+ */
+// Thus, multiplying a length by this number converts the length from units
+// into pts.  Dividing the result by ptPerEm gives the number of ems
+// *assuming* a font size of ptPerEm (normal size, normal style).
+
+const ptPerUnit = {
+  // https://en.wikibooks.org/wiki/LaTeX/Lengths and
+  // https://tex.stackexchange.com/a/8263
+  "pt": 1,
+  // TeX point
+  "mm": 7227 / 2540,
+  // millimeter
+  "cm": 7227 / 254,
+  // centimeter
+  "in": 72.27,
+  // inch
+  "bp": 803 / 800,
+  // big (PostScript) points
+  "pc": 12,
+  // pica
+  "dd": 1238 / 1157,
+  // didot
+  "cc": 14856 / 1157,
+  // cicero (12 didot)
+  "nd": 685 / 642,
+  // new didot
+  "nc": 1370 / 107,
+  // new cicero (12 new didot)
+  "sp": 1 / 65536,
+  // scaled point (TeX's internal smallest unit)
+  // https://tex.stackexchange.com/a/41371
+  "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX
+
+}; // Dictionary of relative units, for fast validity testing.
+
+const relativeUnit = {
+  "ex": true,
+  "em": true,
+  "mu": true
+};
+
+/**
+ * Determine whether the specified unit (either a string defining the unit
+ * or a "size" parse node containing a unit field) is valid.
+ */
+const validUnit = function validUnit(unit) {
+  if (typeof unit !== "string") {
+    unit = unit.unit;
+  }
+
+  return unit in ptPerUnit || unit in relativeUnit || unit === "ex";
+};
+/*
+ * Convert a "size" parse node (with numeric "number" and string "unit" fields,
+ * as parsed by functions.js argType "size") into a CSS em value for the
+ * current style/scale.  `options` gives the current options.
+ */
+
+const calculateSize = function calculateSize(sizeValue, options) {
+  let scale;
+
+  if (sizeValue.unit in ptPerUnit) {
+    // Absolute units
+    scale = ptPerUnit[sizeValue.unit] // Convert unit to pt
+    / options.fontMetrics().ptPerEm // Convert pt to CSS em
+    / options.sizeMultiplier; // Unscale to make absolute units
+  } else if (sizeValue.unit === "mu") {
+    // `mu` units scale with scriptstyle/scriptscriptstyle.
+    scale = options.fontMetrics().cssEmPerMu;
+  } else {
+    // Other relative units always refer to the *textstyle* font
+    // in the current size.
+    let unitOptions;
+
+    if (options.style.isTight()) {
+      // isTight() means current style is script/scriptscript.
+      unitOptions = options.havingStyle(options.style.text());
+    } else {
+      unitOptions = options;
+    } // TODO: In TeX these units are relative to the quad of the current
+    // *text* font, e.g. cmr10. KaTeX instead uses values from the
+    // comparably-sized *Computer Modern symbol* font. At 10pt, these
+    // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641;
+    // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$.
+    // TeX \showlists shows a kern of 1.13889 * fontsize;
+    // KaTeX shows a kern of 1.171 * fontsize.
+
+
+    if (sizeValue.unit === "ex") {
+      scale = unitOptions.fontMetrics().xHeight;
+    } else if (sizeValue.unit === "em") {
+      scale = unitOptions.fontMetrics().quad;
+    } else {
+      throw new ParseError("Invalid unit: '" + sizeValue.unit + "'");
+    }
+
+    if (unitOptions !== options) {
+      scale *= unitOptions.sizeMultiplier / options.sizeMultiplier;
+    }
+  }
+
+  return Math.min(sizeValue.number * scale, options.maxSize);
+};
+
+/* eslint no-console:0 */
+
+/**
+ * Looks up the given symbol in fontMetrics, after applying any symbol
+ * replacements defined in symbol.js
+ */
+const lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this.
+fontName, mode) {
+  // Replace the value with its replaced value from symbol.js
+  if (symbols[mode][value] && symbols[mode][value].replace) {
+    value = symbols[mode][value].replace;
+  }
+
+  return {
+    value: value,
+    metrics: getCharacterMetrics(value, fontName, mode)
+  };
+};
+/**
+ * Makes a symbolNode after translation via the list of symbols in symbols.js.
+ * Correctly pulls out metrics for the character, and optionally takes a list of
+ * classes to be attached to the node.
+ *
+ * TODO: make argument order closer to makeSpan
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ * TODO(#953): Make `options` mandatory and always pass it in.
+ */
+
+
+const makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
+  const lookup = lookupSymbol(value, fontName, mode);
+  const metrics = lookup.metrics;
+  value = lookup.value;
+  let symbolNode;
+
+  if (metrics) {
+    let italic = metrics.italic;
+
+    if (mode === "text" || options && options.font === "mathit") {
+      italic = 0;
+    }
+
+    symbolNode = new SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes);
+  } else {
+    // TODO(emily): Figure out a good way to only print this in development
+    typeof console !== "undefined" && console.warn("No character metrics " + `for '${value}' in style '${fontName}' and mode '${mode}'`);
+    symbolNode = new SymbolNode(value, 0, 0, 0, 0, 0, classes);
+  }
+
+  if (options) {
+    symbolNode.maxFontSize = options.sizeMultiplier;
+
+    if (options.style.isTight()) {
+      symbolNode.classes.push("mtight");
+    }
+
+    const color = options.getColor();
+
+    if (color) {
+      symbolNode.style.color = color;
+    }
+  }
+
+  return symbolNode;
+};
+/**
+ * Makes a symbol in Main-Regular or AMS-Regular.
+ * Used for rel, bin, open, close, inner, and punct.
+ */
+
+
+const mathsym = function mathsym(value, mode, options, classes) {
+  if (classes === void 0) {
+    classes = [];
+  }
+
+  // Decide what font to render the symbol in by its entry in the symbols
+  // table.
+  // Have a special case for when the value = \ because the \ is used as a
+  // textord in unsupported command errors but cannot be parsed as a regular
+  // text ordinal and is therefore not present as a symbol in the symbols
+  // table for text, as well as a special case for boldsymbol because it
+  // can be used for bold + and -
+  if (options.font === "boldsymbol" && lookupSymbol(value, "Main-Bold", mode).metrics) {
+    return makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"]));
+  } else if (value === "\\" || symbols[mode][value].font === "main") {
+    return makeSymbol(value, "Main-Regular", mode, options, classes);
+  } else {
+    return makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"]));
+  }
+};
+/**
+ * Determines which of the two font names (Main-Bold and Math-BoldItalic) and
+ * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol",
+ * depending on the symbol.  Use this function instead of fontMap for font
+ * "boldsymbol".
+ */
+
+
+const boldsymbol = function boldsymbol(value, mode, options, classes, type) {
+  if (type !== "textord" && lookupSymbol(value, "Math-BoldItalic", mode).metrics) {
+    return {
+      fontName: "Math-BoldItalic",
+      fontClass: "boldsymbol"
+    };
+  } else {
+    // Some glyphs do not exist in Math-BoldItalic so we need to use
+    // Main-Bold instead.
+    return {
+      fontName: "Main-Bold",
+      fontClass: "mathbf"
+    };
+  }
+};
+/**
+ * Makes either a mathord or textord in the correct font and color.
+ */
+
+
+const makeOrd = function makeOrd(group, options, type) {
+  const mode = group.mode;
+  const text = group.text;
+  const classes = ["mord"]; // Math mode or Old font (i.e. \rm)
+
+  const isFont = mode === "math" || mode === "text" && options.font;
+  const fontOrFamily = isFont ? options.font : options.fontFamily;
+
+  if (text.charCodeAt(0) === 0xD835) {
+    // surrogate pairs get special treatment
+    const _wideCharacterFont = wideCharacterFont(text, mode),
+          wideFontName = _wideCharacterFont[0],
+          wideFontClass = _wideCharacterFont[1];
+
+    return makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass));
+  } else if (fontOrFamily) {
+    let fontName;
+    let fontClasses;
+
+    if (fontOrFamily === "boldsymbol") {
+      const fontData = boldsymbol(text, mode, options, classes, type);
+      fontName = fontData.fontName;
+      fontClasses = [fontData.fontClass];
+    } else if (isFont) {
+      fontName = fontMap[fontOrFamily].fontName;
+      fontClasses = [fontOrFamily];
+    } else {
+      fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape);
+      fontClasses = [fontOrFamily, options.fontWeight, options.fontShape];
+    }
+
+    if (lookupSymbol(text, fontName, mode).metrics) {
+      return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
+    } else if (ligatures.hasOwnProperty(text) && fontName.substr(0, 10) === "Typewriter") {
+      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
+      const parts = [];
+
+      for (let i = 0; i < text.length; i++) {
+        parts.push(makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses)));
+      }
+
+      return makeFragment(parts);
+    }
+  } // Makes a symbol in the default font for mathords and textords.
+
+
+  if (type === "mathord") {
+    return makeSymbol(text, "Math-Italic", mode, options, classes.concat(["mathnormal"]));
+  } else if (type === "textord") {
+    const font = symbols[mode][text] && symbols[mode][text].font;
+
+    if (font === "ams") {
+      const fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape);
+      return makeSymbol(text, fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape));
+    } else if (font === "main" || !font) {
+      const fontName = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
+      return makeSymbol(text, fontName, mode, options, classes.concat(options.fontWeight, options.fontShape));
+    } else {
+      // fonts added by plugins
+      const fontName = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class
+
+      return makeSymbol(text, fontName, mode, options, classes.concat(fontName, options.fontWeight, options.fontShape));
+    }
+  } else {
+    throw new Error("unexpected type: " + type + " in makeOrd");
+  }
+};
+/**
+ * Returns true if subsequent symbolNodes have the same classes, skew, maxFont,
+ * and styles.
+ */
+
+
+const canCombine = (prev, next) => {
+  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
+    return false;
+  }
+
+  for (const style in prev.style) {
+    if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
+      return false;
+    }
+  }
+
+  for (const style in next.style) {
+    if (next.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
+      return false;
+    }
+  }
+
+  return true;
+};
+/**
+ * Combine consequetive domTree.symbolNodes into a single symbolNode.
+ * Note: this function mutates the argument.
+ */
+
+
+const tryCombineChars = chars => {
+  for (let i = 0; i < chars.length - 1; i++) {
+    const prev = chars[i];
+    const next = chars[i + 1];
+
+    if (prev instanceof SymbolNode && next instanceof SymbolNode && canCombine(prev, next)) {
+      prev.text += next.text;
+      prev.height = Math.max(prev.height, next.height);
+      prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use
+      // it to add padding to the right of the span created from
+      // the combined characters.
+
+      prev.italic = next.italic;
+      chars.splice(i + 1, 1);
+      i--;
+    }
+  }
+
+  return chars;
+};
+/**
+ * Calculate the height, depth, and maxFontSize of an element based on its
+ * children.
+ */
+
+
+const sizeElementFromChildren = function sizeElementFromChildren(elem) {
+  let height = 0;
+  let depth = 0;
+  let maxFontSize = 0;
+
+  for (let i = 0; i < elem.children.length; i++) {
+    const child = elem.children[i];
+
+    if (child.height > height) {
+      height = child.height;
+    }
+
+    if (child.depth > depth) {
+      depth = child.depth;
+    }
+
+    if (child.maxFontSize > maxFontSize) {
+      maxFontSize = child.maxFontSize;
+    }
+  }
+
+  elem.height = height;
+  elem.depth = depth;
+  elem.maxFontSize = maxFontSize;
+};
+/**
+ * Makes a span with the given list of classes, list of children, and options.
+ *
+ * TODO(#953): Ensure that `options` is always provided (currently some call
+ * sites don't pass it) and make the type below mandatory.
+ * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
+ * should if present come first in `classes`.
+ */
+
+
+const makeSpan = function makeSpan(classes, children, options, style) {
+  const span = new Span(classes, children, options, style);
+  sizeElementFromChildren(span);
+  return span;
+}; // SVG one is simpler -- doesn't require height, depth, max-font setting.
+// This is also a separate method for typesafety.
+
+
+const makeSvgSpan = (classes, children, options, style) => new Span(classes, children, options, style);
+
+const makeLineSpan = function makeLineSpan(className, options, thickness) {
+  const line = makeSpan([className], [], options);
+  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
+  line.style.borderBottomWidth = line.height + "em";
+  line.maxFontSize = 1.0;
+  return line;
+};
+/**
+ * Makes an anchor with the given href, list of classes, list of children,
+ * and options.
+ */
+
+
+const makeAnchor = function makeAnchor(href, classes, children, options) {
+  const anchor = new Anchor(href, classes, children, options);
+  sizeElementFromChildren(anchor);
+  return anchor;
+};
+/**
+ * Makes a document fragment with the given list of children.
+ */
+
+
+const makeFragment = function makeFragment(children) {
+  const fragment = new DocumentFragment(children);
+  sizeElementFromChildren(fragment);
+  return fragment;
+};
+/**
+ * Wraps group in a span if it's a document fragment, allowing to apply classes
+ * and styles
+ */
+
+
+const wrapFragment = function wrapFragment(group, options) {
+  if (group instanceof DocumentFragment) {
+    return makeSpan([], [group], options);
+  }
+
+  return group;
+}; // These are exact object types to catch typos in the names of the optional fields.
+
+
+// Computes the updated `children` list and the overall depth.
+//
+// This helper function for makeVList makes it easier to enforce type safety by
+// allowing early exits (returns) in the logic.
+const getVListChildrenAndDepth = function getVListChildrenAndDepth(params) {
+  if (params.positionType === "individualShift") {
+    const oldChildren = params.children;
+    const children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be
+    // shifted to the correct specified shift
+
+    const depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
+    let currPos = depth;
+
+    for (let i = 1; i < oldChildren.length; i++) {
+      const diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth;
+      const size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth);
+      currPos = currPos + diff;
+      children.push({
+        type: "kern",
+        size
+      });
+      children.push(oldChildren[i]);
+    }
+
+    return {
+      children,
+      depth
+    };
+  }
+
+  let depth;
+
+  if (params.positionType === "top") {
+    // We always start at the bottom, so calculate the bottom by adding up
+    // all the sizes
+    let bottom = params.positionData;
+
+    for (let i = 0; i < params.children.length; i++) {
+      const child = params.children[i];
+      bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth;
+    }
+
+    depth = bottom;
+  } else if (params.positionType === "bottom") {
+    depth = -params.positionData;
+  } else {
+    const firstChild = params.children[0];
+
+    if (firstChild.type !== "elem") {
+      throw new Error('First child must have type "elem".');
+    }
+
+    if (params.positionType === "shift") {
+      depth = -firstChild.elem.depth - params.positionData;
+    } else if (params.positionType === "firstBaseline") {
+      depth = -firstChild.elem.depth;
+    } else {
+      throw new Error(`Invalid positionType ${params.positionType}.`);
+    }
+  }
+
+  return {
+    children: params.children,
+    depth
+  };
+};
+/**
+ * Makes a vertical list by stacking elements and kerns on top of each other.
+ * Allows for many different ways of specifying the positioning method.
+ *
+ * See VListParam documentation above.
+ */
+
+
+const makeVList = function makeVList(params, options) {
+  const _getVListChildrenAndD = getVListChildrenAndDepth(params),
+        children = _getVListChildrenAndD.children,
+        depth = _getVListChildrenAndD.depth; // Create a strut that is taller than any list item. The strut is added to
+  // each item, where it will determine the item's baseline. Since it has
+  // `overflow:hidden`, the strut's top edge will sit on the item's line box's
+  // top edge and the strut's bottom edge will sit on the item's baseline,
+  // with no additional line-height spacing. This allows the item baseline to
+  // be positioned precisely without worrying about font ascent and
+  // line-height.
+
+
+  let pstrutSize = 0;
+
+  for (let i = 0; i < children.length; i++) {
+    const child = children[i];
+
+    if (child.type === "elem") {
+      const elem = child.elem;
+      pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height);
+    }
+  }
+
+  pstrutSize += 2;
+  const pstrut = makeSpan(["pstrut"], []);
+  pstrut.style.height = pstrutSize + "em"; // Create a new list of actual children at the correct offsets
+
+  const realChildren = [];
+  let minPos = depth;
+  let maxPos = depth;
+  let currPos = depth;
+
+  for (let i = 0; i < children.length; i++) {
+    const child = children[i];
+
+    if (child.type === "kern") {
+      currPos += child.size;
+    } else {
+      const elem = child.elem;
+      const classes = child.wrapperClasses || [];
+      const style = child.wrapperStyle || {};
+      const childWrap = makeSpan(classes, [pstrut, elem], undefined, style);
+      childWrap.style.top = -pstrutSize - currPos - elem.depth + "em";
+
+      if (child.marginLeft) {
+        childWrap.style.marginLeft = child.marginLeft;
+      }
+
+      if (child.marginRight) {
+        childWrap.style.marginRight = child.marginRight;
+      }
+
+      realChildren.push(childWrap);
+      currPos += elem.height + elem.depth;
+    }
+
+    minPos = Math.min(minPos, currPos);
+    maxPos = Math.max(maxPos, currPos);
+  } // The vlist contents go in a table-cell with `vertical-align:bottom`.
+  // This cell's bottom edge will determine the containing table's baseline
+  // without overly expanding the containing line-box.
+
+
+  const vlist = makeSpan(["vlist"], realChildren);
+  vlist.style.height = maxPos + "em"; // A second row is used if necessary to represent the vlist's depth.
+
+  let rows;
+
+  if (minPos < 0) {
+    // We will define depth in an empty span with display: table-cell.
+    // It should render with the height that we define. But Chrome, in
+    // contenteditable mode only, treats that span as if it contains some
+    // text content. And that min-height over-rides our desired height.
+    // So we put another empty span inside the depth strut span.
+    const emptySpan = makeSpan([], []);
+    const depthStrut = makeSpan(["vlist"], [emptySpan]);
+    depthStrut.style.height = -minPos + "em"; // Safari wants the first row to have inline content; otherwise it
+    // puts the bottom of the *second* row on the baseline.
+
+    const topStrut = makeSpan(["vlist-s"], [new SymbolNode("\u200b")]);
+    rows = [makeSpan(["vlist-r"], [vlist, topStrut]), makeSpan(["vlist-r"], [depthStrut])];
+  } else {
+    rows = [makeSpan(["vlist-r"], [vlist])];
+  }
+
+  const vtable = makeSpan(["vlist-t"], rows);
+
+  if (rows.length === 2) {
+    vtable.classes.push("vlist-t2");
+  }
+
+  vtable.height = maxPos;
+  vtable.depth = -minPos;
+  return vtable;
+}; // Glue is a concept from TeX which is a flexible space between elements in
+// either a vertical or horizontal list. In KaTeX, at least for now, it's
+// static space between elements in a horizontal layout.
+
+
+const makeGlue = (measurement, options) => {
+  // Make an empty span for the space
+  const rule = makeSpan(["mspace"], [], options);
+  const size = calculateSize(measurement, options);
+  rule.style.marginRight = `${size}em`;
+  return rule;
+}; // Takes font options, and returns the appropriate fontLookup name
+
+
+const retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) {
+  let baseFontName = "";
+
+  switch (fontFamily) {
+    case "amsrm":
+      baseFontName = "AMS";
+      break;
+
+    case "textrm":
+      baseFontName = "Main";
+      break;
+
+    case "textsf":
+      baseFontName = "SansSerif";
+      break;
+
+    case "texttt":
+      baseFontName = "Typewriter";
+      break;
+
+    default:
+      baseFontName = fontFamily;
+    // use fonts added by a plugin
+  }
+
+  let fontStylesName;
+
+  if (fontWeight === "textbf" && fontShape === "textit") {
+    fontStylesName = "BoldItalic";
+  } else if (fontWeight === "textbf") {
+    fontStylesName = "Bold";
+  } else if (fontWeight === "textit") {
+    fontStylesName = "Italic";
+  } else {
+    fontStylesName = "Regular";
+  }
+
+  return `${baseFontName}-${fontStylesName}`;
+};
+/**
+ * Maps TeX font commands to objects containing:
+ * - variant: string used for "mathvariant" attribute in buildMathML.js
+ * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics
+ */
+// A map between tex font commands an MathML mathvariant attribute values
+
+
+const fontMap = {
+  // styles
+  "mathbf": {
+    variant: "bold",
+    fontName: "Main-Bold"
+  },
+  "mathrm": {
+    variant: "normal",
+    fontName: "Main-Regular"
+  },
+  "textit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  "mathit": {
+    variant: "italic",
+    fontName: "Main-Italic"
+  },
+  "mathnormal": {
+    variant: "italic",
+    fontName: "Math-Italic"
+  },
+  // "boldsymbol" is missing because they require the use of multiple fonts:
+  // Math-BoldItalic and Main-Bold.  This is handled by a special case in
+  // makeOrd which ends up calling boldsymbol.
+  // families
+  "mathbb": {
+    variant: "double-struck",
+    fontName: "AMS-Regular"
+  },
+  "mathcal": {
+    variant: "script",
+    fontName: "Caligraphic-Regular"
+  },
+  "mathfrak": {
+    variant: "fraktur",
+    fontName: "Fraktur-Regular"
+  },
+  "mathscr": {
+    variant: "script",
+    fontName: "Script-Regular"
+  },
+  "mathsf": {
+    variant: "sans-serif",
+    fontName: "SansSerif-Regular"
+  },
+  "mathtt": {
+    variant: "monospace",
+    fontName: "Typewriter-Regular"
+  }
+};
+const svgData = {
+  //   path, width, height
+  vec: ["vec", 0.471, 0.714],
+  // values from the font glyph
+  oiintSize1: ["oiintSize1", 0.957, 0.499],
+  // oval to overlay the integrand
+  oiintSize2: ["oiintSize2", 1.472, 0.659],
+  oiiintSize1: ["oiiintSize1", 1.304, 0.499],
+  oiiintSize2: ["oiiintSize2", 1.98, 0.659],
+  leftParenInner: ["leftParenInner", 0.875, 0.3],
+  rightParenInner: ["rightParenInner", 0.875, 0.3]
+};
+
+const staticSvg = function staticSvg(value, options) {
+  // Create a span with inline SVG for the element.
+  const _svgData$value = svgData[value],
+        pathName = _svgData$value[0],
+        width = _svgData$value[1],
+        height = _svgData$value[2];
+  const path = new PathNode(pathName);
+  const svgNode = new SvgNode([path], {
+    "width": width + "em",
+    "height": height + "em",
+    // Override CSS rule `.katex svg { width: 100% }`
+    "style": "width:" + width + "em",
+    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
+    "preserveAspectRatio": "xMinYMin"
+  });
+  const span = makeSvgSpan(["overlay"], [svgNode], options);
+  span.height = height;
+  span.style.height = height + "em";
+  span.style.width = width + "em";
+  return span;
+};
+
+var buildCommon = {
+  fontMap,
+  makeSymbol,
+  mathsym,
+  makeSpan,
+  makeSvgSpan,
+  makeLineSpan,
+  makeAnchor,
+  makeFragment,
+  wrapFragment,
+  makeVList,
+  makeOrd,
+  makeGlue,
+  staticSvg,
+  svgData,
+  tryCombineChars
+};
+
+/**
+ * Describes spaces between different classes of atoms.
+ */
+const thinspace = {
+  number: 3,
+  unit: "mu"
+};
+const mediumspace = {
+  number: 4,
+  unit: "mu"
+};
+const thickspace = {
+  number: 5,
+  unit: "mu"
+}; // Making the type below exact with all optional fields doesn't work due to
+// - https://github.com/facebook/flow/issues/4582
+// - https://github.com/facebook/flow/issues/5688
+// However, since *all* fields are optional, $Shape<> works as suggested in 5688
+// above.
+
+// Spacing relationships for display and text styles
+const spacings = {
+  mord: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mbin: {
+    mord: mediumspace,
+    mop: mediumspace,
+    mopen: mediumspace,
+    minner: mediumspace
+  },
+  mrel: {
+    mord: thickspace,
+    mop: thickspace,
+    mopen: thickspace,
+    minner: thickspace
+  },
+  mopen: {},
+  mclose: {
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    minner: thinspace
+  },
+  mpunct: {
+    mord: thinspace,
+    mop: thinspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mclose: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  },
+  minner: {
+    mord: thinspace,
+    mop: thinspace,
+    mbin: mediumspace,
+    mrel: thickspace,
+    mopen: thinspace,
+    mpunct: thinspace,
+    minner: thinspace
+  }
+}; // Spacing relationships for script and scriptscript styles
+
+const tightSpacings = {
+  mord: {
+    mop: thinspace
+  },
+  mop: {
+    mord: thinspace,
+    mop: thinspace
+  },
+  mbin: {},
+  mrel: {},
+  mopen: {},
+  mclose: {
+    mop: thinspace
+  },
+  mpunct: {},
+  minner: {
+    mop: thinspace
+  }
+};
+
+/** Context provided to function handlers for error messages. */
+// Note: reverse the order of the return type union will cause a flow error.
+// See https://github.com/facebook/flow/issues/3663.
+// More general version of `HtmlBuilder` for nodes (e.g. \sum, accent types)
+// whose presence impacts super/subscripting. In this case, ParseNode<"supsub">
+// delegates its HTML building to the HtmlBuilder corresponding to these nodes.
+
+/**
+ * Final function spec for use at parse time.
+ * This is almost identical to `FunctionPropSpec`, except it
+ * 1. includes the function handler, and
+ * 2. requires all arguments except argTypes.
+ * It is generated by `defineFunction()` below.
+ */
+
+/**
+ * All registered functions.
+ * `functions.js` just exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary.
+ */
+const _functions = {};
+/**
+ * All HTML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+const _htmlGroupBuilders = {};
+/**
+ * All MathML builders. Should be only used in the `define*` and the `build*ML`
+ * functions.
+ */
+
+const _mathmlGroupBuilders = {};
+function defineFunction(_ref) {
+  let type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of functions
+  const data = {
+    type,
+    numArgs: props.numArgs,
+    argTypes: props.argTypes,
+    greediness: props.greediness === undefined ? 1 : props.greediness,
+    allowedInText: !!props.allowedInText,
+    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
+    numOptionalArgs: props.numOptionalArgs || 0,
+    infix: !!props.infix,
+    handler: handler
+  };
+
+  for (let i = 0; i < names.length; ++i) {
+    _functions[names[i]] = data;
+  }
+
+  if (type) {
+    if (htmlBuilder) {
+      _htmlGroupBuilders[type] = htmlBuilder;
+    }
+
+    if (mathmlBuilder) {
+      _mathmlGroupBuilders[type] = mathmlBuilder;
+    }
+  }
+}
+/**
+ * Use this to register only the HTML and MathML builders for a function (e.g.
+ * if the function's ParseNode is generated in Parser.js rather than via a
+ * stand-alone handler provided to `defineFunction`).
+ */
+
+function defineFunctionBuilders(_ref2) {
+  let type = _ref2.type,
+      htmlBuilder = _ref2.htmlBuilder,
+      mathmlBuilder = _ref2.mathmlBuilder;
+  defineFunction({
+    type,
+    names: [],
+    props: {
+      numArgs: 0
+    },
+
+    handler() {
+      throw new Error('Should never be called.');
+    },
+
+    htmlBuilder,
+    mathmlBuilder
+  });
+} // Since the corresponding buildHTML/buildMathML function expects a
+// list of elements, we normalize for different kinds of arguments
+
+const ordargument = function ordargument(arg) {
+  return arg.type === "ordgroup" ? arg.body : [arg];
+};
+
+/**
+ * This file does the main work of building a domTree structure from a parse
+ * tree. The entry point is the `buildHTML` function, which takes a parse tree.
+ * Then, the buildExpression, buildGroup, and various groupBuilders functions
+ * are called, to produce a final HTML tree.
+ */
+const makeSpan$1 = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`)
+// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6,
+// and the text before Rule 19.
+
+const binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
+const binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
+const styleMap = {
+  "display": Style$1.DISPLAY,
+  "text": Style$1.TEXT,
+  "script": Style$1.SCRIPT,
+  "scriptscript": Style$1.SCRIPTSCRIPT
+};
+const DomEnum = {
+  mord: "mord",
+  mop: "mop",
+  mbin: "mbin",
+  mrel: "mrel",
+  mopen: "mopen",
+  mclose: "mclose",
+  mpunct: "mpunct",
+  minner: "minner"
+};
+
+/**
+ * Take a list of nodes, build them in order, and return a list of the built
+ * nodes. documentFragments are flattened into their contents, so the
+ * returned list contains no fragments. `isRealGroup` is true if `expression`
+ * is a real group (no atoms will be added on either side), as opposed to
+ * a partial group (e.g. one created by \color). `surrounding` is an array
+ * consisting type of nodes that will be added to the left and right.
+ */
+const buildExpression = function buildExpression(expression, options, isRealGroup, surrounding) {
+  if (surrounding === void 0) {
+    surrounding = [null, null];
+  }
+
+  // Parse expressions into `groups`.
+  const groups = [];
+
+  for (let i = 0; i < expression.length; i++) {
+    const output = buildGroup(expression[i], options);
+
+    if (output instanceof DocumentFragment) {
+      const children = output.children;
+      groups.push(...children);
+    } else {
+      groups.push(output);
+    }
+  } // If `expression` is a partial group, let the parent handle spacings
+  // to avoid processing groups multiple times.
+
+
+  if (!isRealGroup) {
+    return groups;
+  }
+
+  let glueOptions = options;
+
+  if (expression.length === 1) {
+    const node = expression[0];
+
+    if (node.type === "sizing") {
+      glueOptions = options.havingSize(node.size);
+    } else if (node.type === "styling") {
+      glueOptions = options.havingStyle(styleMap[node.style]);
+    }
+  } // Dummy spans for determining spacings between surrounding atoms.
+  // If `expression` has no atoms on the left or right, class "leftmost"
+  // or "rightmost", respectively, is used to indicate it.
+
+
+  const dummyPrev = makeSpan$1([surrounding[0] || "leftmost"], [], options);
+  const dummyNext = makeSpan$1([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element
+  // of its `classes` array. A later cleanup should ensure this, for
+  // instance by changing the signature of `makeSpan`.
+  // Before determining what spaces to insert, perform bin cancellation.
+  // Binary operators change to ordinary symbols in some contexts.
+
+  const isRoot = isRealGroup === "root";
+  traverseNonSpaceNodes(groups, (node, prev) => {
+    const prevType = prev.classes[0];
+    const type = node.classes[0];
+
+    if (prevType === "mbin" && utils.contains(binRightCanceller, type)) {
+      prev.classes[0] = "mord";
+    } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) {
+      node.classes[0] = "mord";
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext, isRoot);
+  traverseNonSpaceNodes(groups, (node, prev) => {
+    const prevType = getTypeOfDomTree(prev);
+    const type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style.
+
+    const space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null;
+
+    if (space) {
+      // Insert glue (spacing) after the `prev`.
+      return buildCommon.makeGlue(space, glueOptions);
+    }
+  }, {
+    node: dummyPrev
+  }, dummyNext, isRoot);
+  return groups;
+}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and
+// previous node as arguments, optionally returning a node to insert after the
+// previous node. `prev` is an object with the previous node and `insertAfter`
+// function to insert after it. `next` is a node that will be added to the right.
+// Used for bin cancellation and inserting spacings.
+
+const traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next, isRoot) {
+  if (next) {
+    // temporarily append the right node, if exists
+    nodes.push(next);
+  }
+
+  let i = 0;
+
+  for (; i < nodes.length; i++) {
+    const node = nodes[i];
+    const partialGroup = checkPartialGroup(node);
+
+    if (partialGroup) {
+      // Recursive DFS
+      // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array
+      traverseNonSpaceNodes(partialGroup.children, callback, prev, null, isRoot);
+      continue;
+    } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit
+    // spacing should go between atoms of different classes
+
+
+    const nonspace = !node.hasClass("mspace");
+
+    if (nonspace) {
+      const result = callback(node, prev.node);
+
+      if (result) {
+        if (prev.insertAfter) {
+          prev.insertAfter(result);
+        } else {
+          // insert at front
+          nodes.unshift(result);
+          i++;
+        }
+      }
+    }
+
+    if (nonspace) {
+      prev.node = node;
+    } else if (isRoot && node.hasClass("newline")) {
+      prev.node = makeSpan$1(["leftmost"]); // treat like beginning of line
+    }
+
+    prev.insertAfter = (index => n => {
+      nodes.splice(index + 1, 0, n);
+      i++;
+    })(i);
+  }
+
+  if (next) {
+    nodes.pop();
+  }
+}; // Check if given node is a partial group, i.e., does not affect spacing around.
+
+
+const checkPartialGroup = function checkPartialGroup(node) {
+  if (node instanceof DocumentFragment || node instanceof Anchor || node instanceof Span && node.hasClass("enclosing")) {
+    return node;
+  }
+
+  return null;
+}; // Return the outermost node of a domTree.
+
+
+const getOutermostNode = function getOutermostNode(node, side) {
+  const partialGroup = checkPartialGroup(node);
+
+  if (partialGroup) {
+    const children = partialGroup.children;
+
+    if (children.length) {
+      if (side === "right") {
+        return getOutermostNode(children[children.length - 1], "right");
+      } else if (side === "left") {
+        return getOutermostNode(children[0], "left");
+      }
+    }
+  }
+
+  return node;
+}; // Return math atom class (mclass) of a domTree.
+// If `side` is given, it will get the type of the outermost node at given side.
+
+
+const getTypeOfDomTree = function getTypeOfDomTree(node, side) {
+  if (!node) {
+    return null;
+  }
+
+  if (side) {
+    node = getOutermostNode(node, side);
+  } // This makes a lot of assumptions as to where the type of atom
+  // appears.  We should do a better job of enforcing this.
+
+
+  return DomEnum[node.classes[0]] || null;
+};
+const makeNullDelimiter = function makeNullDelimiter(options, classes) {
+  const moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses());
+  return makeSpan$1(classes.concat(moreClasses));
+};
+/**
+ * buildGroup is the function that takes a group and calls the correct groupType
+ * function for it. It also handles the interaction of size and style changes
+ * between parents and children.
+ */
+
+const buildGroup = function buildGroup(group, options, baseOptions) {
+  if (!group) {
+    return makeSpan$1();
+  }
+
+  if (_htmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    let groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account
+    // for that size difference.
+
+    if (baseOptions && options.size !== baseOptions.size) {
+      groupNode = makeSpan$1(options.sizingClasses(baseOptions), [groupNode], options);
+      const multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier;
+      groupNode.height *= multiplier;
+      groupNode.depth *= multiplier;
+    }
+
+    return groupNode;
+  } else {
+    throw new ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`)
+ * into an unbreakable HTML node of class .base, with proper struts to
+ * guarantee correct vertical extent.  `buildHTML` calls this repeatedly to
+ * make up the entire expression as a sequence of unbreakable units.
+ */
+
+function buildHTMLUnbreakable(children, options) {
+  // Compute height and depth of this chunk.
+  const body = makeSpan$1(["base"], children, options); // Add strut, which ensures that the top of the HTML element falls at
+  // the height of the expression, and the bottom of the HTML element
+  // falls at the depth of the expression.
+
+  const strut = makeSpan$1(["strut"]);
+  strut.style.height = body.height + body.depth + "em";
+  strut.style.verticalAlign = -body.depth + "em";
+  body.children.unshift(strut);
+  return body;
+}
+/**
+ * Take an entire parse tree, and build it into an appropriate set of HTML
+ * nodes.
+ */
+
+
+function buildHTML(tree, options) {
+  // Strip off outer tag wrapper for processing below.
+  let tag = null;
+
+  if (tree.length === 1 && tree[0].type === "tag") {
+    tag = tree[0].tag;
+    tree = tree[0].body;
+  } // Build the expression contained in the tree
+
+
+  const expression = buildExpression(tree, options, "root");
+  const children = []; // Create one base node for each chunk between potential line breaks.
+  // The TeXBook [p.173] says "A formula will be broken only after a
+  // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary
+  // operation symbol like $+$ or $-$ or $\times$, where the relation or
+  // binary operation is on the ``outer level'' of the formula (i.e., not
+  // enclosed in {...} and not part of an \over construction)."
+
+  let parts = [];
+
+  for (let i = 0; i < expression.length; i++) {
+    parts.push(expression[i]);
+
+    if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) {
+      // Put any post-operator glue on same line as operator.
+      // Watch for \nobreak along the way, and stop at \newline.
+      let nobreak = false;
+
+      while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) {
+        i++;
+        parts.push(expression[i]);
+
+        if (expression[i].hasClass("nobreak")) {
+          nobreak = true;
+        }
+      } // Don't allow break if \nobreak among the post-operator glue.
+
+
+      if (!nobreak) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      }
+    } else if (expression[i].hasClass("newline")) {
+      // Write the line except the newline
+      parts.pop();
+
+      if (parts.length > 0) {
+        children.push(buildHTMLUnbreakable(parts, options));
+        parts = [];
+      } // Put the newline at the top level
+
+
+      children.push(expression[i]);
+    }
+  }
+
+  if (parts.length > 0) {
+    children.push(buildHTMLUnbreakable(parts, options));
+  } // Now, if there was a tag, build it too and append it as a final child.
+
+
+  let tagChild;
+
+  if (tag) {
+    tagChild = buildHTMLUnbreakable(buildExpression(tag, options, true));
+    tagChild.classes = ["tag"];
+    children.push(tagChild);
+  }
+
+  const htmlNode = makeSpan$1(["katex-html"], children);
+  htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children
+  // (the height of the enclosing htmlNode) for proper vertical alignment.
+
+  if (tagChild) {
+    const strut = tagChild.children[0];
+    strut.style.height = htmlNode.height + htmlNode.depth + "em";
+    strut.style.verticalAlign = -htmlNode.depth + "em";
+  }
+
+  return htmlNode;
+}
+
+/**
+ * These objects store data about MathML nodes. This is the MathML equivalent
+ * of the types in domTree.js. Since MathML handles its own rendering, and
+ * since we're mainly using MathML to improve accessibility, we don't manage
+ * any of the styling state that the plain DOM nodes do.
+ *
+ * The `toNode` and `toMarkup` functions work simlarly to how they do in
+ * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.
+ */
+function newDocumentFragment(children) {
+  return new DocumentFragment(children);
+}
+/**
+ * This node represents a general purpose MathML node of any type. The
+ * constructor requires the type of node to create (for example, `"mo"` or
+ * `"mspace"`, corresponding to `<mo>` and `<mspace>` tags).
+ */
+
+class MathNode {
+  constructor(type, children) {
+    this.type = void 0;
+    this.attributes = void 0;
+    this.children = void 0;
+    this.type = type;
+    this.attributes = {};
+    this.children = children || [];
+  }
+  /**
+   * Sets an attribute on a MathML node. MathML depends on attributes to convey a
+   * semantic content, so this is used heavily.
+   */
+
+
+  setAttribute(name, value) {
+    this.attributes[name] = value;
+  }
+  /**
+   * Gets an attribute on a MathML node.
+   */
+
+
+  getAttribute(name) {
+    return this.attributes[name];
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+
+
+  toNode() {
+    const node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        node.setAttribute(attr, this.attributes[attr]);
+      }
+    }
+
+    for (let i = 0; i < this.children.length; i++) {
+      node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+
+
+  toMarkup() {
+    let markup = "<" + this.type; // Add the attributes
+
+    for (const attr in this.attributes) {
+      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+        markup += " " + attr + "=\"";
+        markup += utils.escape(this.attributes[attr]);
+        markup += "\"";
+      }
+    }
+
+    markup += ">";
+
+    for (let i = 0; i < this.children.length; i++) {
+      markup += this.children[i].toMarkup();
+    }
+
+    markup += "</" + this.type + ">";
+    return markup;
+  }
+  /**
+   * Converts the math node into a string, similar to innerText, but escaped.
+   */
+
+
+  toText() {
+    return this.children.map(child => child.toText()).join("");
+  }
+
+}
+/**
+ * This node represents a piece of text.
+ */
+
+class TextNode {
+  constructor(text) {
+    this.text = void 0;
+    this.text = text;
+  }
+  /**
+   * Converts the text node into a DOM text node.
+   */
+
+
+  toNode() {
+    return document.createTextNode(this.text);
+  }
+  /**
+   * Converts the text node into escaped HTML markup
+   * (representing the text itself).
+   */
+
+
+  toMarkup() {
+    return utils.escape(this.toText());
+  }
+  /**
+   * Converts the text node into a string
+   * (representing the text iteself).
+   */
+
+
+  toText() {
+    return this.text;
+  }
+
+}
+/**
+ * This node represents a space, but may render as <mspace.../> or as text,
+ * depending on the width.
+ */
+
+class SpaceNode {
+  /**
+   * Create a Space node with width given in CSS ems.
+   */
+  constructor(width) {
+    this.width = void 0;
+    this.character = void 0;
+    this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html
+    // for a table of space-like characters.  We use Unicode
+    // representations instead of &LongNames; as it's not clear how to
+    // make the latter via document.createTextNode.
+
+    if (width >= 0.05555 && width <= 0.05556) {
+      this.character = "\u200a"; // &VeryThinSpace;
+    } else if (width >= 0.1666 && width <= 0.1667) {
+      this.character = "\u2009"; // &ThinSpace;
+    } else if (width >= 0.2222 && width <= 0.2223) {
+      this.character = "\u2005"; // &MediumSpace;
+    } else if (width >= 0.2777 && width <= 0.2778) {
+      this.character = "\u2005\u200a"; // &ThickSpace;
+    } else if (width >= -0.05556 && width <= -0.05555) {
+      this.character = "\u200a\u2063"; // &NegativeVeryThinSpace;
+    } else if (width >= -0.1667 && width <= -0.1666) {
+      this.character = "\u2009\u2063"; // &NegativeThinSpace;
+    } else if (width >= -0.2223 && width <= -0.2222) {
+      this.character = "\u205f\u2063"; // &NegativeMediumSpace;
+    } else if (width >= -0.2778 && width <= -0.2777) {
+      this.character = "\u2005\u2063"; // &NegativeThickSpace;
+    } else {
+      this.character = null;
+    }
+  }
+  /**
+   * Converts the math node into a MathML-namespaced DOM element.
+   */
+
+
+  toNode() {
+    if (this.character) {
+      return document.createTextNode(this.character);
+    } else {
+      const node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
+      node.setAttribute("width", this.width + "em");
+      return node;
+    }
+  }
+  /**
+   * Converts the math node into an HTML markup string.
+   */
+
+
+  toMarkup() {
+    if (this.character) {
+      return `<mtext>${this.character}</mtext>`;
+    } else {
+      return `<mspace width="${this.width}em"/>`;
+    }
+  }
+  /**
+   * Converts the math node into a string, similar to innerText.
+   */
+
+
+  toText() {
+    if (this.character) {
+      return this.character;
+    } else {
+      return " ";
+    }
+  }
+
+}
+
+var mathMLTree = {
+  MathNode,
+  TextNode,
+  SpaceNode,
+  newDocumentFragment
+};
+
+/**
+ * This file converts a parse tree into a cooresponding MathML tree. The main
+ * entry point is the `buildMathML` function, which takes a parse tree from the
+ * parser.
+ */
+
+/**
+ * Takes a symbol and converts it into a MathML text node after performing
+ * optional replacement from symbols.js.
+ */
+const makeText = function makeText(text, mode, options) {
+  if (symbols[mode][text] && symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.substr(4, 2) === "tt" || options.font && options.font.substr(4, 2) === "tt"))) {
+    text = symbols[mode][text].replace;
+  }
+
+  return new mathMLTree.TextNode(text);
+};
+/**
+ * Wrap the given array of nodes in an <mrow> node if needed, i.e.,
+ * unless the array has length 1.  Always returns a single node.
+ */
+
+const makeRow = function makeRow(body) {
+  if (body.length === 1) {
+    return body[0];
+  } else {
+    return new mathMLTree.MathNode("mrow", body);
+  }
+};
+/**
+ * Returns the math variant as a string or null if none is required.
+ */
+
+const getVariant = function getVariant(group, options) {
+  // Handle \text... font specifiers as best we can.
+  // MathML has a limited list of allowable mathvariant specifiers; see
+  // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt
+  if (options.fontFamily === "texttt") {
+    return "monospace";
+  } else if (options.fontFamily === "textsf") {
+    if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+      return "sans-serif-bold-italic";
+    } else if (options.fontShape === "textit") {
+      return "sans-serif-italic";
+    } else if (options.fontWeight === "textbf") {
+      return "bold-sans-serif";
+    } else {
+      return "sans-serif";
+    }
+  } else if (options.fontShape === "textit" && options.fontWeight === "textbf") {
+    return "bold-italic";
+  } else if (options.fontShape === "textit") {
+    return "italic";
+  } else if (options.fontWeight === "textbf") {
+    return "bold";
+  }
+
+  const font = options.font;
+
+  if (!font || font === "mathnormal") {
+    return null;
+  }
+
+  const mode = group.mode;
+
+  if (font === "mathit") {
+    return "italic";
+  } else if (font === "boldsymbol") {
+    return group.type === "textord" ? "bold" : "bold-italic";
+  } else if (font === "mathbf") {
+    return "bold";
+  } else if (font === "mathbb") {
+    return "double-struck";
+  } else if (font === "mathfrak") {
+    return "fraktur";
+  } else if (font === "mathscr" || font === "mathcal") {
+    // MathML makes no distinction between script and caligrahpic
+    return "script";
+  } else if (font === "mathsf") {
+    return "sans-serif";
+  } else if (font === "mathtt") {
+    return "monospace";
+  }
+
+  let text = group.text;
+
+  if (utils.contains(["\\imath", "\\jmath"], text)) {
+    return null;
+  }
+
+  if (symbols[mode][text] && symbols[mode][text].replace) {
+    text = symbols[mode][text].replace;
+  }
+
+  const fontName = buildCommon.fontMap[font].fontName;
+
+  if (getCharacterMetrics(text, fontName, mode)) {
+    return buildCommon.fontMap[font].variant;
+  }
+
+  return null;
+};
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes.  Also combine consecutive <mtext> outputs into a single
+ * <mtext> tag.
+ */
+
+const buildExpression$1 = function buildExpression(expression, options, isOrdgroup) {
+  if (expression.length === 1) {
+    const group = buildGroup$1(expression[0], options);
+
+    if (isOrdgroup && group instanceof MathNode && group.type === "mo") {
+      // When TeX writers want to suppress spacing on an operator,
+      // they often put the operator by itself inside braces.
+      group.setAttribute("lspace", "0em");
+      group.setAttribute("rspace", "0em");
+    }
+
+    return [group];
+  }
+
+  const groups = [];
+  let lastGroup;
+
+  for (let i = 0; i < expression.length; i++) {
+    const group = buildGroup$1(expression[i], options);
+
+    if (group instanceof MathNode && lastGroup instanceof MathNode) {
+      // Concatenate adjacent <mtext>s
+      if (group.type === 'mtext' && lastGroup.type === 'mtext' && group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) {
+        lastGroup.children.push(...group.children);
+        continue; // Concatenate adjacent <mn>s
+      } else if (group.type === 'mn' && lastGroup.type === 'mn') {
+        lastGroup.children.push(...group.children);
+        continue; // Concatenate <mn>...</mn> followed by <mi>.</mi>
+      } else if (group.type === 'mi' && group.children.length === 1 && lastGroup.type === 'mn') {
+        const child = group.children[0];
+
+        if (child instanceof TextNode && child.text === '.') {
+          lastGroup.children.push(...group.children);
+          continue;
+        }
+      } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) {
+        const lastChild = lastGroup.children[0];
+
+        if (lastChild instanceof TextNode && lastChild.text === '\u0338' && (group.type === 'mo' || group.type === 'mi' || group.type === 'mn')) {
+          const child = group.children[0];
+
+          if (child instanceof TextNode && child.text.length > 0) {
+            // Overlay with combining character long solidus
+            child.text = child.text.slice(0, 1) + "\u0338" + child.text.slice(1);
+            groups.pop();
+          }
+        }
+      }
+    }
+
+    groups.push(group);
+    lastGroup = group;
+  }
+
+  return groups;
+};
+/**
+ * Equivalent to buildExpression, but wraps the elements in an <mrow>
+ * if there's more than one.  Returns a single node instead of an array.
+ */
+
+const buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
+  return makeRow(buildExpression$1(expression, options, isOrdgroup));
+};
+/**
+ * Takes a group from the parser and calls the appropriate groupBuilders function
+ * on it to produce a MathML node.
+ */
+
+const buildGroup$1 = function buildGroup(group, options) {
+  if (!group) {
+    return new mathMLTree.MathNode("mrow");
+  }
+
+  if (_mathmlGroupBuilders[group.type]) {
+    // Call the groupBuilders function
+    const result = _mathmlGroupBuilders[group.type](group, options);
+    return result;
+  } else {
+    throw new ParseError("Got group of unknown type: '" + group.type + "'");
+  }
+};
+/**
+ * Takes a full parse tree and settings and builds a MathML representation of
+ * it. In particular, we put the elements from building the parse tree into a
+ * <semantics> tag so we can also include that TeX source as an annotation.
+ *
+ * Note that we actually return a domTree element with a `<math>` inside it so
+ * we can do appropriate styling.
+ */
+
+function buildMathML(tree, texExpression, options, isDisplayMode, forMathmlOnly) {
+  const expression = buildExpression$1(tree, options); // Wrap up the expression in an mrow so it is presented in the semantics
+  // tag correctly, unless it's a single <mrow> or <mtable>.
+
+  let wrapper;
+
+  if (expression.length === 1 && expression[0] instanceof MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) {
+    wrapper = expression[0];
+  } else {
+    wrapper = new mathMLTree.MathNode("mrow", expression);
+  } // Build a TeX annotation of the source
+
+
+  const annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]);
+  annotation.setAttribute("encoding", "application/x-tex");
+  const semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]);
+  const math = new mathMLTree.MathNode("math", [semantics]);
+  math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML");
+
+  if (isDisplayMode) {
+    math.setAttribute("display", "block");
+  } // You can't style <math> nodes, so we wrap the node in a span.
+  // NOTE: The span class is not typed to have <math> nodes as children, and
+  // we don't want to make the children type more generic since the children
+  // of span are expected to have more fields in `buildHtml` contexts.
+
+
+  const wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe
+
+  return buildCommon.makeSpan([wrapperClass], [math]);
+}
+
+const optionsFromSettings = function optionsFromSettings(settings) {
+  return new Options({
+    style: settings.displayMode ? Style$1.DISPLAY : Style$1.TEXT,
+    maxSize: settings.maxSize,
+    minRuleThickness: settings.minRuleThickness
+  });
+};
+
+const displayWrap = function displayWrap(node, settings) {
+  if (settings.displayMode) {
+    const classes = ["katex-display"];
+
+    if (settings.leqno) {
+      classes.push("leqno");
+    }
+
+    if (settings.fleqn) {
+      classes.push("fleqn");
+    }
+
+    node = buildCommon.makeSpan(classes, [node]);
+  }
+
+  return node;
+};
+
+const buildTree = function buildTree(tree, expression, settings) {
+  const options = optionsFromSettings(settings);
+  let katexNode;
+
+  if (settings.output === "mathml") {
+    return buildMathML(tree, expression, options, settings.displayMode, true);
+  } else if (settings.output === "html") {
+    const htmlNode = buildHTML(tree, options);
+    katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  } else {
+    const mathMLNode = buildMathML(tree, expression, options, settings.displayMode, false);
+    const htmlNode = buildHTML(tree, options);
+    katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, htmlNode]);
+  }
+
+  return displayWrap(katexNode, settings);
+};
+const buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
+  const options = optionsFromSettings(settings);
+  const htmlNode = buildHTML(tree, options);
+  const katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
+  return displayWrap(katexNode, settings);
+};
+
+/**
+ * This file provides support to buildMathML.js and buildHTML.js
+ * for stretchy wide elements rendered from SVG files
+ * and other CSS trickery.
+ */
+const stretchyCodePoint = {
+  widehat: "^",
+  widecheck: "ˇ",
+  widetilde: "~",
+  utilde: "~",
+  overleftarrow: "\u2190",
+  underleftarrow: "\u2190",
+  xleftarrow: "\u2190",
+  overrightarrow: "\u2192",
+  underrightarrow: "\u2192",
+  xrightarrow: "\u2192",
+  underbrace: "\u23df",
+  overbrace: "\u23de",
+  overgroup: "\u23e0",
+  undergroup: "\u23e1",
+  overleftrightarrow: "\u2194",
+  underleftrightarrow: "\u2194",
+  xleftrightarrow: "\u2194",
+  Overrightarrow: "\u21d2",
+  xRightarrow: "\u21d2",
+  overleftharpoon: "\u21bc",
+  xleftharpoonup: "\u21bc",
+  overrightharpoon: "\u21c0",
+  xrightharpoonup: "\u21c0",
+  xLeftarrow: "\u21d0",
+  xLeftrightarrow: "\u21d4",
+  xhookleftarrow: "\u21a9",
+  xhookrightarrow: "\u21aa",
+  xmapsto: "\u21a6",
+  xrightharpoondown: "\u21c1",
+  xleftharpoondown: "\u21bd",
+  xrightleftharpoons: "\u21cc",
+  xleftrightharpoons: "\u21cb",
+  xtwoheadleftarrow: "\u219e",
+  xtwoheadrightarrow: "\u21a0",
+  xlongequal: "=",
+  xtofrom: "\u21c4",
+  xrightleftarrows: "\u21c4",
+  xrightequilibrium: "\u21cc",
+  // Not a perfect match.
+  xleftequilibrium: "\u21cb" // None better available.
+
+};
+
+const mathMLnode = function mathMLnode(label) {
+  const node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.substr(1)])]);
+  node.setAttribute("stretchy", "true");
+  return node;
+}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts.
+// Copyright (c) 2009-2010, Design Science, Inc. (<www.mathjax.org>)
+// Copyright (c) 2014-2017 Khan Academy (<www.khanacademy.org>)
+// Licensed under the SIL Open Font License, Version 1.1.
+// See \nhttp://scripts.sil.org/OFL
+// Very Long SVGs
+//    Many of the KaTeX stretchy wide elements use a long SVG image and an
+//    overflow: hidden tactic to achieve a stretchy image while avoiding
+//    distortion of arrowheads or brace corners.
+//    The SVG typically contains a very long (400 em) arrow.
+//    The SVG is in a container span that has overflow: hidden, so the span
+//    acts like a window that exposes only part of the  SVG.
+//    The SVG always has a longer, thinner aspect ratio than the container span.
+//    After the SVG fills 100% of the height of the container span,
+//    there is a long arrow shaft left over. That left-over shaft is not shown.
+//    Instead, it is sliced off because the span's CSS has overflow: hidden.
+//    Thus, the reader sees an arrow that matches the subject matter width
+//    without distortion.
+//    Some functions, such as \cancel, need to vary their aspect ratio. These
+//    functions do not get the overflow SVG treatment.
+// Second Brush Stroke
+//    Low resolution monitors struggle to display images in fine detail.
+//    So browsers apply anti-aliasing. A long straight arrow shaft therefore
+//    will sometimes appear as if it has a blurred edge.
+//    To mitigate this, these SVG files contain a second "brush-stroke" on the
+//    arrow shafts. That is, a second long thin rectangular SVG path has been
+//    written directly on top of each arrow shaft. This reinforcement causes
+//    some of the screen pixels to display as black instead of the anti-aliased
+//    gray pixel that a  single path would generate. So we get arrow shafts
+//    whose edges appear to be sharper.
+// In the katexImagesData object just below, the dimensions all
+// correspond to path geometry inside the relevant SVG.
+// For example, \overrightarrow uses the same arrowhead as glyph U+2192
+// from the KaTeX Main font. The scaling factor is 1000.
+// That is, inside the font, that arrowhead is 522 units tall, which
+// corresponds to 0.522 em inside the document.
+
+
+const katexImagesData = {
+  //   path(s), minWidth, height, align
+  overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
+  underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
+  xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"],
+  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
+  Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"],
+  xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"],
+  xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"],
+  overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"],
+  xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"],
+  overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
+  xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"],
+  xlongequal: [["longequal"], 0.888, 334, "xMinYMin"],
+  xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"],
+  xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"],
+  overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548],
+  underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548],
+  underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
+  xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522],
+  xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560],
+  xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716],
+  xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716],
+  xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522],
+  xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522],
+  overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
+  overgroup: [["leftgroup", "rightgroup"], 0.888, 342],
+  undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342],
+  xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522],
+  xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528],
+  // The next three arrows are from the mhchem package.
+  // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the
+  // document as \xrightarrow or \xrightleftharpoons. Those have
+  // min-length = 1.75em, so we set min-length on these next three to match.
+  xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
+  xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
+  xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716]
+};
+
+const groupLength = function groupLength(arg) {
+  if (arg.type === "ordgroup") {
+    return arg.body.length;
+  } else {
+    return 1;
+  }
+};
+
+const svgSpan = function svgSpan(group, options) {
+  // Create a span with inline SVG for the element.
+  function buildSvgSpan_() {
+    let viewBoxWidth = 400000; // default
+
+    const label = group.label.substr(1);
+
+    if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) {
+      // Each type in the `if` statement corresponds to one of the ParseNode
+      // types below. This narrowing is required to access `grp.base`.
+      const grp = group; // There are four SVG images available for each function.
+      // Choose a taller image when there are more characters.
+
+      const numChars = groupLength(grp.base);
+      let viewBoxHeight;
+      let pathName;
+      let height;
+
+      if (numChars > 5) {
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxHeight = 420;
+          viewBoxWidth = 2364;
+          height = 0.42;
+          pathName = label + "4";
+        } else {
+          viewBoxHeight = 312;
+          viewBoxWidth = 2340;
+          height = 0.34;
+          pathName = "tilde4";
+        }
+      } else {
+        const imgIndex = [1, 1, 2, 2, 3, 3][numChars];
+
+        if (label === "widehat" || label === "widecheck") {
+          viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex];
+          viewBoxHeight = [0, 239, 300, 360, 420][imgIndex];
+          height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex];
+          pathName = label + imgIndex;
+        } else {
+          viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex];
+          viewBoxHeight = [0, 260, 286, 306, 312][imgIndex];
+          height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex];
+          pathName = "tilde" + imgIndex;
+        }
+      }
+
+      const path = new PathNode(pathName);
+      const svgNode = new SvgNode([path], {
+        "width": "100%",
+        "height": height + "em",
+        "viewBox": `0 0 ${viewBoxWidth} ${viewBoxHeight}`,
+        "preserveAspectRatio": "none"
+      });
+      return {
+        span: buildCommon.makeSvgSpan([], [svgNode], options),
+        minWidth: 0,
+        height
+      };
+    } else {
+      const spans = [];
+      const data = katexImagesData[label];
+      const paths = data[0],
+            minWidth = data[1],
+            viewBoxHeight = data[2];
+      const height = viewBoxHeight / 1000;
+      const numSvgChildren = paths.length;
+      let widthClasses;
+      let aligns;
+
+      if (numSvgChildren === 1) {
+        // $FlowFixMe: All these cases must be of the 4-tuple type.
+        const align1 = data[3];
+        widthClasses = ["hide-tail"];
+        aligns = [align1];
+      } else if (numSvgChildren === 2) {
+        widthClasses = ["halfarrow-left", "halfarrow-right"];
+        aligns = ["xMinYMin", "xMaxYMin"];
+      } else if (numSvgChildren === 3) {
+        widthClasses = ["brace-left", "brace-center", "brace-right"];
+        aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"];
+      } else {
+        throw new Error(`Correct katexImagesData or update code here to support
+                    ${numSvgChildren} children.`);
+      }
+
+      for (let i = 0; i < numSvgChildren; i++) {
+        const path = new PathNode(paths[i]);
+        const svgNode = new SvgNode([path], {
+          "width": "400em",
+          "height": height + "em",
+          "viewBox": `0 0 ${viewBoxWidth} ${viewBoxHeight}`,
+          "preserveAspectRatio": aligns[i] + " slice"
+        });
+        const span = buildCommon.makeSvgSpan([widthClasses[i]], [svgNode], options);
+
+        if (numSvgChildren === 1) {
+          return {
+            span,
+            minWidth,
+            height
+          };
+        } else {
+          span.style.height = height + "em";
+          spans.push(span);
+        }
+      }
+
+      return {
+        span: buildCommon.makeSpan(["stretchy"], spans, options),
+        minWidth,
+        height
+      };
+    }
+  } // buildSvgSpan_()
+
+
+  const _buildSvgSpan_ = buildSvgSpan_(),
+        span = _buildSvgSpan_.span,
+        minWidth = _buildSvgSpan_.minWidth,
+        height = _buildSvgSpan_.height; // Note that we are returning span.depth = 0.
+  // Any adjustments relative to the baseline must be done in buildHTML.
+
+
+  span.height = height;
+  span.style.height = height + "em";
+
+  if (minWidth > 0) {
+    span.style.minWidth = minWidth + "em";
+  }
+
+  return span;
+};
+
+const encloseSpan = function encloseSpan(inner, label, pad, options) {
+  // Return an image span for \cancel, \bcancel, \xcancel, or \fbox
+  let img;
+  const totalHeight = inner.height + inner.depth + 2 * pad;
+
+  if (/fbox|color/.test(label)) {
+    img = buildCommon.makeSpan(["stretchy", label], [], options);
+
+    if (label === "fbox") {
+      const color = options.color && options.getColor();
+
+      if (color) {
+        img.style.borderColor = color;
+      }
+    }
+  } else {
+    // \cancel, \bcancel, or \xcancel
+    // Since \cancel's SVG is inline and it omits the viewBox attribute,
+    // its stroke-width will not vary with span area.
+    const lines = [];
+
+    if (/^[bx]cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "0",
+        "x2": "100%",
+        "y2": "100%",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    if (/^x?cancel$/.test(label)) {
+      lines.push(new LineNode({
+        "x1": "0",
+        "y1": "100%",
+        "x2": "100%",
+        "y2": "0",
+        "stroke-width": "0.046em"
+      }));
+    }
+
+    const svgNode = new SvgNode(lines, {
+      "width": "100%",
+      "height": totalHeight + "em"
+    });
+    img = buildCommon.makeSvgSpan([], [svgNode], options);
+  }
+
+  img.height = totalHeight;
+  img.style.height = totalHeight + "em";
+  return img;
+};
+
+var stretchy = {
+  encloseSpan,
+  mathMLnode,
+  svgSpan
+};
+
+/**
+ * Asserts that the node is of the given type and returns it with stricter
+ * typing. Throws if the node's type does not match.
+ */
+function assertNodeType(node, type) {
+  if (!node || node.type !== type) {
+    throw new Error(`Expected node of type ${type}, but got ` + (node ? `node of type ${node.type}` : String(node)));
+  }
+
+  return node;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function assertSymbolNodeType(node) {
+  const typedNode = checkSymbolNodeType(node);
+
+  if (!typedNode) {
+    throw new Error(`Expected node of symbol group type, but got ` + (node ? `node of type ${node.type}` : String(node)));
+  }
+
+  return typedNode;
+}
+/**
+ * Returns the node more strictly typed iff it is of the given type. Otherwise,
+ * returns null.
+ */
+
+function checkSymbolNodeType(node) {
+  if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) {
+    // $FlowFixMe
+    return node;
+  }
+
+  return null;
+}
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but
+const htmlBuilder = (grp, options) => {
+  // Accents are handled in the TeXbook pg. 443, rule 12.
+  let base;
+  let group;
+  let supSubGroup;
+
+  if (grp && grp.type === "supsub") {
+    // If our base is a character box, and we have superscripts and
+    // subscripts, the supsub will defer to us. In particular, we want
+    // to attach the superscripts and subscripts to the inner body (so
+    // that the position of the superscripts and subscripts won't be
+    // affected by the height of the accent). We accomplish this by
+    // sticking the base of the accent into the base of the supsub, and
+    // rendering that, while keeping track of where the accent is.
+    // The real accent group is the base of the supsub group
+    group = assertNodeType(grp.base, "accent"); // The character box is the base of the accent group
+
+    base = group.base; // Stick the character box into the base of the supsub group
+
+    grp.base = base; // Rerender the supsub group with its new base, and store that
+    // result.
+
+    supSubGroup = assertSpan(buildGroup(grp, options)); // reset original base
+
+    grp.base = group;
+  } else {
+    group = assertNodeType(grp, "accent");
+    base = group.base;
+  } // Build the base group
+
+
+  const body = buildGroup(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character?
+
+  const mustShift = group.isShifty && utils.isCharacterBox(base); // Calculate the skew of the accent. This is based on the line "If the
+  // nucleus is not a single character, let s = 0; otherwise set s to the
+  // kern amount for the nucleus followed by the \skewchar of its font."
+  // Note that our skew metrics are just the kern between each character
+  // and the skewchar.
+
+  let skew = 0;
+
+  if (mustShift) {
+    // If the base is a character box, then we want the skew of the
+    // innermost character. To do that, we find the innermost character:
+    const baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it
+
+    const baseGroup = buildGroup(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol.
+
+    skew = assertSymbolDomNode(baseGroup).skew; // Note that we now throw away baseGroup, because the layers we
+    // removed with getBaseElem might contain things like \color which
+    // we can't get rid of.
+    // TODO(emily): Find a better way to get the skew
+  } // calculate the amount of space between the body and the accent
+
+
+  let clearance = Math.min(body.height, options.fontMetrics().xHeight); // Build the accent
+
+  let accentBody;
+
+  if (!group.isStretchy) {
+    let accent;
+    let width;
+
+    if (group.label === "\\vec") {
+      // Before version 0.9, \vec used the combining font glyph U+20D7.
+      // But browsers, especially Safari, are not consistent in how they
+      // render combining characters when not preceded by a character.
+      // So now we use an SVG.
+      // If Safari reforms, we should consider reverting to the glyph.
+      accent = buildCommon.staticSvg("vec", options);
+      width = buildCommon.svgData.vec[1];
+    } else {
+      accent = buildCommon.makeOrd({
+        mode: group.mode,
+        text: group.label
+      }, options, "textord");
+      accent = assertSymbolDomNode(accent); // Remove the italic correction of the accent, because it only serves to
+      // shift the accent over to a place we don't want.
+
+      accent.italic = 0;
+      width = accent.width;
+    }
+
+    accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be
+    // at least the width of the accent, and overlap directly onto the
+    // character without any vertical offset.
+
+    const accentFull = group.label === "\\textcircled";
+
+    if (accentFull) {
+      accentBody.classes.push('accent-full');
+      clearance = body.height;
+    } // Shift the accent over by the skew.
+
+
+    let left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }`
+    // so that the accent doesn't contribute to the bounding box.
+    // We need to shift the character by its width (effectively half
+    // its width) to compensate.
+
+    if (!accentFull) {
+      left -= width / 2;
+    }
+
+    accentBody.style.left = left + "em"; // \textcircled uses the \bigcirc glyph, so it needs some
+    // vertical adjustment to match LaTeX.
+
+    if (group.label === "\\textcircled") {
+      accentBody.style.top = ".2em";
+    }
+
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: -clearance
+      }, {
+        type: "elem",
+        elem: accentBody
+      }]
+    }, options);
+  } else {
+    accentBody = stretchy.svgSpan(group, options);
+    accentBody = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"],
+        wrapperStyle: skew > 0 ? {
+          width: `calc(100% - ${2 * skew}em)`,
+          marginLeft: `${2 * skew}em`
+        } : undefined
+      }]
+    }, options);
+  }
+
+  const accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options);
+
+  if (supSubGroup) {
+    // Here, we replace the "base" child of the supsub with our newly
+    // generated accent.
+    supSubGroup.children[0] = accentWrap; // Since we don't rerun the height calculation after replacing the
+    // accent, we manually recalculate height.
+
+    supSubGroup.height = Math.max(accentWrap.height, supSubGroup.height); // Accents should always be ords, even when their innards are not.
+
+    supSubGroup.classes[0] = "mord";
+    return supSubGroup;
+  } else {
+    return accentWrap;
+  }
+};
+
+const mathmlBuilder = (group, options) => {
+  const accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [makeText(group.label, group.mode)]);
+  const node = new mathMLTree.MathNode("mover", [buildGroup$1(group.base, options), accentNode]);
+  node.setAttribute("accent", "true");
+  return node;
+};
+
+const NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(accent => `\\${accent}`).join("|")); // Accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const base = args[0];
+    const isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName);
+    const isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck";
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: isStretchy,
+      isShifty: isShifty,
+      base: base
+    };
+  },
+  htmlBuilder,
+  mathmlBuilder
+}); // Text-mode accents
+
+defineFunction({
+  type: "accent",
+  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\r", "\\H", "\\v", "\\textcircled"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    allowedInMath: false
+  },
+  handler: (context, args) => {
+    const base = args[0];
+    return {
+      type: "accent",
+      mode: context.parser.mode,
+      label: context.funcName,
+      isStretchy: false,
+      isShifty: true,
+      base: base
+    };
+  },
+  htmlBuilder,
+  mathmlBuilder
+});
+
+// Horizontal overlap functions
+defineFunction({
+  type: "accentUnder",
+  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
+  props: {
+    numArgs: 1
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const base = args[0];
+    return {
+      type: "accentUnder",
+      mode: parser.mode,
+      label: funcName,
+      base: base
+    };
+  },
+  htmlBuilder: (group, options) => {
+    // Treat under accents much like underlines.
+    const innerGroup = buildGroup(group.base, options);
+    const accentBody = stretchy.svgSpan(group, options);
+    const kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns
+
+    const vlist = buildCommon.makeVList({
+      positionType: "top",
+      positionData: innerGroup.height,
+      children: [{
+        type: "elem",
+        elem: accentBody,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: kern
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const accentNode = stretchy.mathMLnode(group.label);
+    const node = new mathMLTree.MathNode("munder", [buildGroup$1(group.base, options), accentNode]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+});
+
+// Helper function
+const paddedNode = group => {
+  const node = new mathMLTree.MathNode("mpadded", group ? [group] : []);
+  node.setAttribute("width", "+0.6em");
+  node.setAttribute("lspace", "0.3em");
+  return node;
+}; // Stretchy arrows with an optional argument
+
+
+defineFunction({
+  type: "xArrow",
+  names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension.
+  // Direct use of these functions is discouraged and may break someday.
+  "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "xArrow",
+      mode: parser.mode,
+      label: funcName,
+      body: args[0],
+      below: optArgs[0]
+    };
+  },
+
+  // Flow is unable to correctly infer the type of `group`, even though it's
+  // unamibiguously determined from the passed-in `type` above.
+  htmlBuilder(group, options) {
+    const style = options.style; // Build the argument groups in the appropriate style.
+    // Ref: amsmath.dtx:   \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}%
+    // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+    let newOptions = options.havingStyle(style.sup());
+    const upperGroup = buildCommon.wrapFragment(buildGroup(group.body, newOptions, options), options);
+    upperGroup.classes.push("x-arrow-pad");
+    let lowerGroup;
+
+    if (group.below) {
+      // Build the lower group
+      newOptions = options.havingStyle(style.sub());
+      lowerGroup = buildCommon.wrapFragment(buildGroup(group.below, newOptions, options), options);
+      lowerGroup.classes.push("x-arrow-pad");
+    }
+
+    const arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0.
+    // The point we want on the math axis is at 0.5 * arrowBody.height.
+
+    const arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi
+
+    let upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu
+
+    if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") {
+      upperShift -= upperGroup.depth; // shift up if depth encroaches
+    } // Generate the vlist
+
+
+    let vlist;
+
+    if (lowerGroup) {
+      const lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111;
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }, {
+          type: "elem",
+          elem: lowerGroup,
+          shift: lowerShift
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: upperGroup,
+          shift: upperShift
+        }, {
+          type: "elem",
+          elem: arrowBody,
+          shift: arrowShift
+        }]
+      }, options);
+    } // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+    return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options);
+  },
+
+  mathmlBuilder(group, options) {
+    const arrowNode = stretchy.mathMLnode(group.label);
+    let node;
+
+    if (group.body) {
+      const upperNode = paddedNode(buildGroup$1(group.body, options));
+
+      if (group.below) {
+        const lowerNode = paddedNode(buildGroup$1(group.below, options));
+        node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]);
+      } else {
+        node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]);
+      }
+    } else if (group.below) {
+      const lowerNode = paddedNode(buildGroup$1(group.below, options));
+      node = new mathMLTree.MathNode("munder", [arrowNode, lowerNode]);
+    } else {
+      // This should never happen.
+      // Parser.js throws an error if there is no argument.
+      node = paddedNode();
+      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
+    }
+
+    return node;
+  }
+
+});
+
+// {123} and converts into symbol with code 123.  It is used by the *macro*
+// \char defined in macros.js.
+
+defineFunction({
+  type: "textord",
+  names: ["\\@char"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const arg = assertNodeType(args[0], "ordgroup");
+    const group = arg.body;
+    let number = "";
+
+    for (let i = 0; i < group.length; i++) {
+      const node = assertNodeType(group[i], "textord");
+      number += node.text;
+    }
+
+    const code = parseInt(number);
+
+    if (isNaN(code)) {
+      throw new ParseError(`\\@char has non-numeric argument ${number}`);
+    }
+
+    return {
+      type: "textord",
+      mode: parser.mode,
+      text: String.fromCharCode(code)
+    };
+  }
+
+});
+
+const htmlBuilder$1 = (group, options) => {
+  const elements = buildExpression(group.body, options.withColor(group.color), false); // \color isn't supposed to affect the type of the elements it contains.
+  // To accomplish this, we wrap the results in a fragment, so the inner
+  // elements will be able to directly interact with their neighbors. For
+  // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3`
+
+  return buildCommon.makeFragment(elements);
+};
+
+const mathmlBuilder$1 = (group, options) => {
+  const inner = buildExpression$1(group.body, options.withColor(group.color));
+  const node = new mathMLTree.MathNode("mstyle", inner);
+  node.setAttribute("mathcolor", group.color);
+  return node;
+};
+
+defineFunction({
+  type: "color",
+  names: ["\\textcolor"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "original"]
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const color = assertNodeType(args[0], "color-token").color;
+    const body = args[1];
+    return {
+      type: "color",
+      mode: parser.mode,
+      color,
+      body: ordargument(body)
+    };
+  },
+
+  htmlBuilder: htmlBuilder$1,
+  mathmlBuilder: mathmlBuilder$1
+});
+defineFunction({
+  type: "color",
+  names: ["\\color"],
+  props: {
+    numArgs: 1,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color"]
+  },
+
+  handler(_ref2, args) {
+    let parser = _ref2.parser,
+        breakOnTokenText = _ref2.breakOnTokenText;
+    const color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current
+    // color, mimicking the behavior of color.sty.
+    // This is currently used just to correctly color a \right
+    // that follows a \color command.
+
+    parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored.
+
+    const body = parser.parseExpression(true, breakOnTokenText);
+    return {
+      type: "color",
+      mode: parser.mode,
+      color,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$1,
+  mathmlBuilder: mathmlBuilder$1
+});
+
+// Row breaks within tabular environments, and line breaks at top level
+// same signature, we implement them as one megafunction, with newRow
+// indicating whether we're in the \cr case, and newLine indicating whether
+// to break the line in the \newline case.
+
+defineFunction({
+  type: "cr",
+  names: ["\\cr", "\\newline"],
+  props: {
+    numArgs: 0,
+    numOptionalArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const size = optArgs[0];
+    const newRow = funcName === "\\cr";
+    let newLine = false;
+
+    if (!newRow) {
+      if (parser.settings.displayMode && parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode")) {
+        newLine = false;
+      } else {
+        newLine = true;
+      }
+    }
+
+    return {
+      type: "cr",
+      mode: parser.mode,
+      newLine,
+      newRow,
+      size: size && assertNodeType(size, "size").value
+    };
+  },
+
+  // The following builders are called only at the top level,
+  // not within tabular/array environments.
+  htmlBuilder(group, options) {
+    if (group.newRow) {
+      throw new ParseError("\\cr valid only within a tabular/array environment");
+    }
+
+    const span = buildCommon.makeSpan(["mspace"], [], options);
+
+    if (group.newLine) {
+      span.classes.push("newline");
+
+      if (group.size) {
+        span.style.marginTop = calculateSize(group.size, options) + "em";
+      }
+    }
+
+    return span;
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mspace");
+
+    if (group.newLine) {
+      node.setAttribute("linebreak", "newline");
+
+      if (group.size) {
+        node.setAttribute("height", calculateSize(group.size, options) + "em");
+      }
+    }
+
+    return node;
+  }
+
+});
+
+const globalMap = {
+  "\\global": "\\global",
+  "\\long": "\\\\globallong",
+  "\\\\globallong": "\\\\globallong",
+  "\\def": "\\gdef",
+  "\\gdef": "\\gdef",
+  "\\edef": "\\xdef",
+  "\\xdef": "\\xdef",
+  "\\let": "\\\\globallet",
+  "\\futurelet": "\\\\globalfuture"
+};
+
+const checkControlSequence = tok => {
+  const name = tok.text;
+
+  if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) {
+    throw new ParseError("Expected a control sequence", tok);
+  }
+
+  return name;
+};
+
+const getRHS = parser => {
+  let tok = parser.gullet.popToken();
+
+  if (tok.text === "=") {
+    // consume optional equals
+    tok = parser.gullet.popToken();
+
+    if (tok.text === " ") {
+      // consume one optional space
+      tok = parser.gullet.popToken();
+    }
+  }
+
+  return tok;
+};
+
+const letCommand = (parser, name, tok, global) => {
+  let macro = parser.gullet.macros.get(tok.text);
+
+  if (macro == null) {
+    // don't expand it later even if a macro with the same name is defined
+    // e.g., \let\foo=\frac \def\frac{\relax} \frac12
+    tok.noexpand = true;
+    macro = {
+      tokens: [tok],
+      numArgs: 0,
+      // reproduce the same behavior in expansion
+      unexpandable: !parser.gullet.isExpandable(tok.text)
+    };
+  }
+
+  parser.gullet.macros.set(name, macro, global);
+}; // <assignment> -> <non-macro assignment>|<macro assignment>
+// <non-macro assignment> -> <simple assignment>|\global<non-macro assignment>
+// <macro assignment> -> <definition>|<prefix><macro assignment>
+// <prefix> -> \global|\long|\outer
+
+
+defineFunction({
+  type: "internal",
+  names: ["\\global", "\\long", "\\\\globallong"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(_ref) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    parser.consumeSpaces();
+    const token = parser.fetch();
+
+    if (globalMap[token.text]) {
+      // KaTeX doesn't have \par, so ignore \long
+      if (funcName === "\\global" || funcName === "\\\\globallong") {
+        token.text = globalMap[token.text];
+      }
+
+      return assertNodeType(parser.parseFunction(), "internal");
+    }
+
+    throw new ParseError(`Invalid token after macro prefix`, token);
+  }
+
+}); // Basic support for macro definitions: \def, \gdef, \edef, \xdef
+// <definition> -> <def><control sequence><definition text>
+// <def> -> \def|\gdef|\edef|\xdef
+// <definition text> -> <parameter text><left brace><balanced text><right brace>
+
+defineFunction({
+  type: "internal",
+  names: ["\\def", "\\gdef", "\\edef", "\\xdef"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(_ref2) {
+    let parser = _ref2.parser,
+        funcName = _ref2.funcName;
+    let arg = parser.gullet.consumeArgs(1)[0];
+
+    if (arg.length !== 1) {
+      throw new ParseError("\\gdef's first argument must be a macro name");
+    }
+
+    const name = arg[0].text; // Count argument specifiers, and check they are in the order #1 #2 ...
+
+    let numArgs = 0;
+    arg = parser.gullet.consumeArgs(1)[0];
+
+    while (arg.length === 1 && arg[0].text === "#") {
+      arg = parser.gullet.consumeArgs(1)[0];
+
+      if (arg.length !== 1) {
+        throw new ParseError(`Invalid argument number length "${arg.length}"`);
+      }
+
+      if (!/^[1-9]$/.test(arg[0].text)) {
+        throw new ParseError(`Invalid argument number "${arg[0].text}"`);
+      }
+
+      numArgs++;
+
+      if (parseInt(arg[0].text) !== numArgs) {
+        throw new ParseError(`Argument number "${arg[0].text}" out of order`);
+      }
+
+      arg = parser.gullet.consumeArgs(1)[0];
+    }
+
+    if (funcName === "\\edef" || funcName === "\\xdef") {
+      arg = parser.gullet.expandTokens(arg);
+      arg.reverse(); // to fit in with stack order
+    } // Final arg is the expansion of the macro
+
+
+    parser.gullet.macros.set(name, {
+      tokens: arg,
+      numArgs
+    }, funcName === globalMap[funcName]);
+    return {
+      type: "internal",
+      mode: parser.mode
+    };
+  }
+
+}); // <simple assignment> -> <let assignment>
+// <let assignment> -> \futurelet<control sequence><token><token>
+//     | \let<control sequence><equals><one optional space><token>
+// <equals> -> <optional spaces>|<optional spaces>=
+
+defineFunction({
+  type: "internal",
+  names: ["\\let", "\\\\globallet"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(_ref3) {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    const name = checkControlSequence(parser.gullet.popToken());
+    parser.gullet.consumeSpaces();
+    const tok = getRHS(parser);
+    letCommand(parser, name, tok, funcName === "\\\\globallet");
+    return {
+      type: "internal",
+      mode: parser.mode
+    };
+  }
+
+}); // ref: https://www.tug.org/TUGboat/tb09-3/tb22bechtolsheim.pdf
+
+defineFunction({
+  type: "internal",
+  names: ["\\futurelet", "\\\\globalfuture"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(_ref4) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    const name = checkControlSequence(parser.gullet.popToken());
+    const middle = parser.gullet.popToken();
+    const tok = parser.gullet.popToken();
+    letCommand(parser, name, tok, funcName === "\\\\globalfuture");
+    parser.gullet.pushToken(tok);
+    parser.gullet.pushToken(middle);
+    return {
+      type: "internal",
+      mode: parser.mode
+    };
+  }
+
+});
+
+/**
+ * This file deals with creating delimiters of various sizes. The TeXbook
+ * discusses these routines on page 441-442, in the "Another subroutine sets box
+ * x to a specified variable delimiter" paragraph.
+ *
+ * There are three main routines here. `makeSmallDelim` makes a delimiter in the
+ * normal font, but in either text, script, or scriptscript style.
+ * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,
+ * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of
+ * smaller pieces that are stacked on top of one another.
+ *
+ * The functions take a parameter `center`, which determines if the delimiter
+ * should be centered around the axis.
+ *
+ * Then, there are three exposed functions. `sizedDelim` makes a delimiter in
+ * one of the given sizes. This is used for things like `\bigl`.
+ * `customSizedDelim` makes a delimiter with a given total height+depth. It is
+ * called in places like `\sqrt`. `leftRightDelim` makes an appropriate
+ * delimiter which surrounds an expression of a given height an depth. It is
+ * used in `\left` and `\right`.
+ */
+
+/**
+ * Get the metrics for a given symbol and font, after transformation (i.e.
+ * after following replacement from symbols.js)
+ */
+const getMetrics = function getMetrics(symbol, font, mode) {
+  const replace = symbols.math[symbol] && symbols.math[symbol].replace;
+  const metrics = getCharacterMetrics(replace || symbol, font, mode);
+
+  if (!metrics) {
+    throw new Error(`Unsupported symbol ${symbol} and font size ${font}.`);
+  }
+
+  return metrics;
+};
+/**
+ * Puts a delimiter span in a given style, and adds appropriate height, depth,
+ * and maxFontSizes.
+ */
+
+
+const styleWrap = function styleWrap(delim, toStyle, options, classes) {
+  const newOptions = options.havingBaseStyle(toStyle);
+  const span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options);
+  const delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier;
+  span.height *= delimSizeMultiplier;
+  span.depth *= delimSizeMultiplier;
+  span.maxFontSize = newOptions.sizeMultiplier;
+  return span;
+};
+
+const centerSpan = function centerSpan(span, options, style) {
+  const newOptions = options.havingBaseStyle(style);
+  const shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight;
+  span.classes.push("delimcenter");
+  span.style.top = shift + "em";
+  span.height -= shift;
+  span.depth += shift;
+};
+/**
+ * Makes a small delimiter. This is a delimiter that comes in the Main-Regular
+ * font, but is restyled to either be in textstyle, scriptstyle, or
+ * scriptscriptstyle.
+ */
+
+
+const makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
+  const text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
+  const span = styleWrap(text, style, options, classes);
+
+  if (center) {
+    centerSpan(span, options, style);
+  }
+
+  return span;
+};
+/**
+ * Builds a symbol in the given font size (note size is an integer)
+ */
+
+
+const mathrmSize = function mathrmSize(value, size, mode, options) {
+  return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options);
+};
+/**
+ * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,
+ * Size3, or Size4 fonts. It is always rendered in textstyle.
+ */
+
+
+const makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
+  const inner = mathrmSize(delim, size, mode, options);
+  const span = styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), Style$1.TEXT, options, classes);
+
+  if (center) {
+    centerSpan(span, options, Style$1.TEXT);
+  }
+
+  return span;
+};
+/**
+ * Make an inner span with the given offset and in the given font. This is used
+ * in `makeStackedDelim` to make the stacking pieces for the delimiter.
+ */
+
+
+const makeInner = function makeInner(symbol, font, mode) {
+  let sizeClass; // Apply the correct CSS class to choose the right font.
+
+  if (font === "Size1-Regular") {
+    sizeClass = "delim-size1";
+  } else
+    /* if (font === "Size4-Regular") */
+    {
+      sizeClass = "delim-size4";
+    }
+
+  const inner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); // Since this will be passed into `makeVList` in the end, wrap the element
+  // in the appropriate tag that VList uses.
+
+  return {
+    type: "elem",
+    elem: inner
+  };
+}; // Helper for makeStackedDelim
+
+
+const lap = {
+  type: "kern",
+  size: -0.005
+};
+/**
+ * Make a stacked delimiter out of a given delimiter, with the total height at
+ * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.
+ */
+
+const makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) {
+  // There are four parts, the top, an optional middle, a repeated part, and a
+  // bottom.
+  let top;
+  let middle;
+  let repeat;
+  let bottom;
+  top = repeat = bottom = delim;
+  middle = null; // Also keep track of what font the delimiters are in
+
+  let font = "Size1-Regular"; // We set the parts and font based on the symbol. Note that we use
+  // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the
+  // repeats of the arrows
+
+  if (delim === "\\uparrow") {
+    repeat = bottom = "\u23d0";
+  } else if (delim === "\\Uparrow") {
+    repeat = bottom = "\u2016";
+  } else if (delim === "\\downarrow") {
+    top = repeat = "\u23d0";
+  } else if (delim === "\\Downarrow") {
+    top = repeat = "\u2016";
+  } else if (delim === "\\updownarrow") {
+    top = "\\uparrow";
+    repeat = "\u23d0";
+    bottom = "\\downarrow";
+  } else if (delim === "\\Updownarrow") {
+    top = "\\Uparrow";
+    repeat = "\u2016";
+    bottom = "\\Downarrow";
+  } else if (delim === "[" || delim === "\\lbrack") {
+    top = "\u23a1";
+    repeat = "\u23a2";
+    bottom = "\u23a3";
+    font = "Size4-Regular";
+  } else if (delim === "]" || delim === "\\rbrack") {
+    top = "\u23a4";
+    repeat = "\u23a5";
+    bottom = "\u23a6";
+    font = "Size4-Regular";
+  } else if (delim === "\\lfloor" || delim === "\u230a") {
+    repeat = top = "\u23a2";
+    bottom = "\u23a3";
+    font = "Size4-Regular";
+  } else if (delim === "\\lceil" || delim === "\u2308") {
+    top = "\u23a1";
+    repeat = bottom = "\u23a2";
+    font = "Size4-Regular";
+  } else if (delim === "\\rfloor" || delim === "\u230b") {
+    repeat = top = "\u23a5";
+    bottom = "\u23a6";
+    font = "Size4-Regular";
+  } else if (delim === "\\rceil" || delim === "\u2309") {
+    top = "\u23a4";
+    repeat = bottom = "\u23a5";
+    font = "Size4-Regular";
+  } else if (delim === "(" || delim === "\\lparen") {
+    top = "\u239b";
+    repeat = "\u239c";
+    bottom = "\u239d";
+    font = "Size4-Regular";
+  } else if (delim === ")" || delim === "\\rparen") {
+    top = "\u239e";
+    repeat = "\u239f";
+    bottom = "\u23a0";
+    font = "Size4-Regular";
+  } else if (delim === "\\{" || delim === "\\lbrace") {
+    top = "\u23a7";
+    middle = "\u23a8";
+    bottom = "\u23a9";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\}" || delim === "\\rbrace") {
+    top = "\u23ab";
+    middle = "\u23ac";
+    bottom = "\u23ad";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\lgroup" || delim === "\u27ee") {
+    top = "\u23a7";
+    bottom = "\u23a9";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\rgroup" || delim === "\u27ef") {
+    top = "\u23ab";
+    bottom = "\u23ad";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\lmoustache" || delim === "\u23b0") {
+    top = "\u23a7";
+    bottom = "\u23ad";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } else if (delim === "\\rmoustache" || delim === "\u23b1") {
+    top = "\u23ab";
+    bottom = "\u23a9";
+    repeat = "\u23aa";
+    font = "Size4-Regular";
+  } // Get the metrics of the four sections
+
+
+  const topMetrics = getMetrics(top, font, mode);
+  const topHeightTotal = topMetrics.height + topMetrics.depth;
+  const repeatMetrics = getMetrics(repeat, font, mode);
+  const repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
+  const bottomMetrics = getMetrics(bottom, font, mode);
+  const bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
+  let middleHeightTotal = 0;
+  let middleFactor = 1;
+
+  if (middle !== null) {
+    const middleMetrics = getMetrics(middle, font, mode);
+    middleHeightTotal = middleMetrics.height + middleMetrics.depth;
+    middleFactor = 2; // repeat symmetrically above and below middle
+  } // Calcuate the minimal height that the delimiter can have.
+  // It is at least the size of the top, bottom, and optional middle combined.
+
+
+  const minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need
+
+  const repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols
+
+  const realHeightTotal = minHeight + repeatCount * middleFactor * repeatHeightTotal; // The center of the delimiter is placed at the center of the axis. Note
+  // that in this context, "center" means that the delimiter should be
+  // centered around the axis in the current style, while normally it is
+  // centered around the axis in textstyle.
+
+  let axisHeight = options.fontMetrics().axisHeight;
+
+  if (center) {
+    axisHeight *= options.sizeMultiplier;
+  } // Calculate the depth
+
+
+  const depth = realHeightTotal / 2 - axisHeight; // This function differs from the TeX procedure in one way.
+  // We shift each repeat element downwards by 0.005em, to prevent a gap
+  // due to browser floating point rounding error.
+  // Then, at the last element-to element joint, we add one extra repeat
+  // element to cover the gap created by the shifts.
+  // Find the shift needed to align the upper end of the extra element at a point
+  // 0.005em above the lower end of the top element.
+
+  const shiftOfExtraElement = (repeatCount + 1) * 0.005 - repeatHeightTotal; // Now, we start building the pieces that will go into the vlist
+  // Keep a list of the inner pieces
+
+  const inners = []; // Add the bottom symbol
+
+  inners.push(makeInner(bottom, font, mode));
+
+  if (middle === null) {
+    // Add that many symbols
+    for (let i = 0; i < repeatCount; i++) {
+      inners.push(lap); // overlap
+
+      inners.push(makeInner(repeat, font, mode));
+    }
+  } else {
+    // When there is a middle bit, we need the middle part and two repeated
+    // sections
+    for (let i = 0; i < repeatCount; i++) {
+      inners.push(lap);
+      inners.push(makeInner(repeat, font, mode));
+    } // Insert one extra repeat element.
+
+
+    inners.push({
+      type: "kern",
+      size: shiftOfExtraElement
+    });
+    inners.push(makeInner(repeat, font, mode));
+    inners.push(lap); // Now insert the middle of the brace.
+
+    inners.push(makeInner(middle, font, mode));
+
+    for (let i = 0; i < repeatCount; i++) {
+      inners.push(lap);
+      inners.push(makeInner(repeat, font, mode));
+    }
+  } // To cover the gap create by the overlaps, insert one more repeat element,
+  // at a position that juts 0.005 above the bottom of the top element.
+
+
+  if ((repeat === "\u239c" || repeat === "\u239f") && repeatCount === 0) {
+    // Parentheses need a short repeat element in order to avoid an overrun.
+    // We'll make a 0.3em tall element from a SVG.
+    const overlap = buildCommon.svgData.leftParenInner[2] / 2;
+    inners.push({
+      type: "kern",
+      size: -overlap
+    });
+    const pathName = repeat === "\u239c" ? "leftParenInner" : "rightParenInner";
+    const innerSpan = buildCommon.staticSvg(pathName, options);
+    inners.push({
+      type: "elem",
+      elem: innerSpan
+    });
+    inners.push({
+      type: "kern",
+      size: -overlap
+    });
+  } else {
+    inners.push({
+      type: "kern",
+      size: shiftOfExtraElement
+    });
+    inners.push(makeInner(repeat, font, mode));
+    inners.push(lap);
+  } // Add the top symbol
+
+
+  inners.push(makeInner(top, font, mode)); // Finally, build the vlist
+
+  const newOptions = options.havingBaseStyle(Style$1.TEXT);
+  const inner = buildCommon.makeVList({
+    positionType: "bottom",
+    positionData: depth,
+    children: inners
+  }, newOptions);
+  return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), Style$1.TEXT, options, classes);
+}; // All surds have 0.08em padding above the viniculum inside the SVG.
+// That keeps browser span height rounding error from pinching the line.
+
+
+const vbPad = 80; // padding above the surd, measured inside the viewBox.
+
+const emPad = 0.08; // padding, in ems, measured in the document.
+
+const sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) {
+  const path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight);
+  const pathNode = new PathNode(sqrtName, path);
+  const svg = new SvgNode([pathNode], {
+    // Note: 1000:1 ratio of viewBox to document em width.
+    "width": "400em",
+    "height": height + "em",
+    "viewBox": "0 0 400000 " + viewBoxHeight,
+    "preserveAspectRatio": "xMinYMin slice"
+  });
+  return buildCommon.makeSvgSpan(["hide-tail"], [svg], options);
+};
+/**
+ * Make a sqrt image of the given height,
+ */
+
+
+const makeSqrtImage = function makeSqrtImage(height, options) {
+  // Define a newOptions that removes the effect of size changes such as \Huge.
+  // We don't pick different a height surd for \Huge. For it, we scale up.
+  const newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds.
+
+  const delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions);
+  let sizeMultiplier = newOptions.sizeMultiplier; // default
+  // The standard sqrt SVGs each have a 0.04em thick viniculum.
+  // If Settings.minRuleThickness is larger than that, we add extraViniculum.
+
+  const extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol.
+
+  let span;
+  let spanHeight = 0;
+  let texHeight = 0;
+  let viewBoxHeight = 0;
+  let advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd.
+  // Then browser rounding error on the parent span height will not
+  // encroach on the ink of the viniculum. But that padding is not
+  // included in the TeX-like `height` used for calculation of
+  // vertical alignment. So texHeight = span.height < span.style.height.
+
+  if (delim.type === "small") {
+    // Get an SVG that is derived from glyph U+221A in font KaTeX-Main.
+    // 1000 unit normal glyph height.
+    viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad;
+
+    if (height < 1.0) {
+      sizeMultiplier = 1.0; // mimic a \textfont radical
+    } else if (height < 1.4) {
+      sizeMultiplier = 0.7; // mimic a \scriptfont radical
+    }
+
+    spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier;
+    texHeight = (1.00 + extraViniculum) / sizeMultiplier;
+    span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.853em";
+    advanceWidth = 0.833 / sizeMultiplier; // from the font.
+  } else if (delim.type === "large") {
+    // These SVGs come from fonts: KaTeX_Size1, _Size2, etc.
+    viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size];
+    texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier;
+    spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier;
+    span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "1.02em";
+    advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font.
+  } else {
+    // Tall sqrt. In TeX, this would be stacked using multiple glyphs.
+    // We'll use a single SVG to accomplish the same thing.
+    spanHeight = height + extraViniculum + emPad;
+    texHeight = height + extraViniculum;
+    viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad;
+    span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options);
+    span.style.minWidth = "0.742em";
+    advanceWidth = 1.056;
+  }
+
+  span.height = texHeight;
+  span.style.height = spanHeight + "em";
+  return {
+    span,
+    advanceWidth,
+    // Calculate the actual line width.
+    // This actually should depend on the chosen font -- e.g. \boldmath
+    // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and
+    // have thicker rules.
+    ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier
+  };
+}; // There are three kinds of delimiters, delimiters that stack when they become
+// too large
+
+
+const stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack
+
+const stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"]; // and delimiters that never stack
+
+const stackNeverDelimiters = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"]; // Metrics of the different sizes. Found by looking at TeX's output of
+// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$
+// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.
+
+const sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];
+/**
+ * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.
+ */
+
+const makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) {
+  // < and > turn into \langle and \rangle in delimiters
+  if (delim === "<" || delim === "\\lt" || delim === "\u27e8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") {
+    delim = "\\rangle";
+  } // Sized delimiters are never centered.
+
+
+  if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) {
+    return makeLargeDelim(delim, size, false, options, mode, classes);
+  } else if (utils.contains(stackAlwaysDelimiters, delim)) {
+    return makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes);
+  } else {
+    throw new ParseError("Illegal delimiter: '" + delim + "'");
+  }
+};
+/**
+ * There are three different sequences of delimiter sizes that the delimiters
+ * follow depending on the kind of delimiter. This is used when creating custom
+ * sized delimiters to decide whether to create a small, large, or stacked
+ * delimiter.
+ *
+ * In real TeX, these sequences aren't explicitly defined, but are instead
+ * defined inside the font metrics. Since there are only three sequences that
+ * are possible for the delimiters that TeX defines, it is easier to just encode
+ * them explicitly here.
+ */
+
+
+// Delimiters that never stack try small delimiters and large delimiters only
+const stackNeverDelimiterSequence = [{
+  type: "small",
+  style: Style$1.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: Style$1.SCRIPT
+}, {
+  type: "small",
+  style: Style$1.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}]; // Delimiters that always stack try the small delimiters first, then stack
+
+const stackAlwaysDelimiterSequence = [{
+  type: "small",
+  style: Style$1.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: Style$1.SCRIPT
+}, {
+  type: "small",
+  style: Style$1.TEXT
+}, {
+  type: "stack"
+}]; // Delimiters that stack when large try the small and then large delimiters, and
+// stack afterwards
+
+const stackLargeDelimiterSequence = [{
+  type: "small",
+  style: Style$1.SCRIPTSCRIPT
+}, {
+  type: "small",
+  style: Style$1.SCRIPT
+}, {
+  type: "small",
+  style: Style$1.TEXT
+}, {
+  type: "large",
+  size: 1
+}, {
+  type: "large",
+  size: 2
+}, {
+  type: "large",
+  size: 3
+}, {
+  type: "large",
+  size: 4
+}, {
+  type: "stack"
+}];
+/**
+ * Get the font used in a delimiter based on what kind of delimiter it is.
+ * TODO(#963) Use more specific font family return type once that is introduced.
+ */
+
+const delimTypeToFont = function delimTypeToFont(type) {
+  if (type.type === "small") {
+    return "Main-Regular";
+  } else if (type.type === "large") {
+    return "Size" + type.size + "-Regular";
+  } else if (type.type === "stack") {
+    return "Size4-Regular";
+  } else {
+    throw new Error(`Add support for delim type '${type.type}' here.`);
+  }
+};
+/**
+ * Traverse a sequence of types of delimiters to decide what kind of delimiter
+ * should be used to create a delimiter of the given height+depth.
+ */
+
+
+const traverseSequence = function traverseSequence(delim, height, sequence, options) {
+  // Here, we choose the index we should start at in the sequences. In smaller
+  // sizes (which correspond to larger numbers in style.size) we start earlier
+  // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts
+  // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2
+  const start = Math.min(2, 3 - options.style.size);
+
+  for (let i = start; i < sequence.length; i++) {
+    if (sequence[i].type === "stack") {
+      // This is always the last delimiter, so we just break the loop now.
+      break;
+    }
+
+    const metrics = getMetrics(delim, delimTypeToFont(sequence[i]), "math");
+    let heightDepth = metrics.height + metrics.depth; // Small delimiters are scaled down versions of the same font, so we
+    // account for the style change size.
+
+    if (sequence[i].type === "small") {
+      const newOptions = options.havingBaseStyle(sequence[i].style);
+      heightDepth *= newOptions.sizeMultiplier;
+    } // Check if the delimiter at this size works for the given height.
+
+
+    if (heightDepth > height) {
+      return sequence[i];
+    }
+  } // If we reached the end of the sequence, return the last sequence element.
+
+
+  return sequence[sequence.length - 1];
+};
+/**
+ * Make a delimiter of a given height+depth, with optional centering. Here, we
+ * traverse the sequences, and create a delimiter that the sequence tells us to.
+ */
+
+
+const makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) {
+  if (delim === "<" || delim === "\\lt" || delim === "\u27e8") {
+    delim = "\\langle";
+  } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") {
+    delim = "\\rangle";
+  } // Decide what sequence to use
+
+
+  let sequence;
+
+  if (utils.contains(stackNeverDelimiters, delim)) {
+    sequence = stackNeverDelimiterSequence;
+  } else if (utils.contains(stackLargeDelimiters, delim)) {
+    sequence = stackLargeDelimiterSequence;
+  } else {
+    sequence = stackAlwaysDelimiterSequence;
+  } // Look through the sequence
+
+
+  const delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs.
+  // Depending on the sequence element we decided on, call the
+  // appropriate function.
+
+  if (delimType.type === "small") {
+    return makeSmallDelim(delim, delimType.style, center, options, mode, classes);
+  } else if (delimType.type === "large") {
+    return makeLargeDelim(delim, delimType.size, center, options, mode, classes);
+  } else
+    /* if (delimType.type === "stack") */
+    {
+      return makeStackedDelim(delim, height, center, options, mode, classes);
+    }
+};
+/**
+ * Make a delimiter for use with `\left` and `\right`, given a height and depth
+ * of an expression that the delimiters surround.
+ */
+
+
+const makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) {
+  // We always center \left/\right delimiters, so the axis is always shifted
+  const axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right
+
+  const delimiterFactor = 901;
+  const delimiterExtend = 5.0 / options.fontMetrics().ptPerEm;
+  const maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight);
+  const totalHeight = Math.max( // In real TeX, calculations are done using integral values which are
+  // 65536 per pt, or 655360 per em. So, the division here truncates in
+  // TeX but doesn't here, producing different results. If we wanted to
+  // exactly match TeX's calculation, we could do
+  //   Math.floor(655360 * maxDistFromAxis / 500) *
+  //    delimiterFactor / 655360
+  // (To see the difference, compare
+  //    x^{x^{\left(\rule{0.1em}{0.68em}\right)}}
+  // in TeX and KaTeX)
+  maxDistFromAxis / 500 * delimiterFactor, 2 * maxDistFromAxis - delimiterExtend); // Finally, we defer to `makeCustomSizedDelim` with our calculated total
+  // height
+
+  return makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes);
+};
+
+var delimiter = {
+  sqrtImage: makeSqrtImage,
+  sizedDelim: makeSizedDelim,
+  customSizedDelim: makeCustomSizedDelim,
+  leftRightDelim: makeLeftRightDelim
+};
+
+// Extra data needed for the delimiter handler down below
+const delimiterSizes = {
+  "\\bigl": {
+    mclass: "mopen",
+    size: 1
+  },
+  "\\Bigl": {
+    mclass: "mopen",
+    size: 2
+  },
+  "\\biggl": {
+    mclass: "mopen",
+    size: 3
+  },
+  "\\Biggl": {
+    mclass: "mopen",
+    size: 4
+  },
+  "\\bigr": {
+    mclass: "mclose",
+    size: 1
+  },
+  "\\Bigr": {
+    mclass: "mclose",
+    size: 2
+  },
+  "\\biggr": {
+    mclass: "mclose",
+    size: 3
+  },
+  "\\Biggr": {
+    mclass: "mclose",
+    size: 4
+  },
+  "\\bigm": {
+    mclass: "mrel",
+    size: 1
+  },
+  "\\Bigm": {
+    mclass: "mrel",
+    size: 2
+  },
+  "\\biggm": {
+    mclass: "mrel",
+    size: 3
+  },
+  "\\Biggm": {
+    mclass: "mrel",
+    size: 4
+  },
+  "\\big": {
+    mclass: "mord",
+    size: 1
+  },
+  "\\Big": {
+    mclass: "mord",
+    size: 2
+  },
+  "\\bigg": {
+    mclass: "mord",
+    size: 3
+  },
+  "\\Bigg": {
+    mclass: "mord",
+    size: 4
+  }
+};
+const delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27e8", "\\rangle", "\u27e9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."];
+
+// Delimiter functions
+function checkDelimiter(delim, context) {
+  const symDelim = checkSymbolNodeType(delim);
+
+  if (symDelim && utils.contains(delimiters, symDelim.text)) {
+    return symDelim;
+  } else if (symDelim) {
+    throw new ParseError(`Invalid delimiter '${symDelim.text}' after '${context.funcName}'`, delim);
+  } else {
+    throw new ParseError(`Invalid delimiter type '${delim.type}'`, delim);
+  }
+}
+
+defineFunction({
+  type: "delimsizing",
+  names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const delim = checkDelimiter(args[0], context);
+    return {
+      type: "delimsizing",
+      mode: context.parser.mode,
+      size: delimiterSizes[context.funcName].size,
+      mclass: delimiterSizes[context.funcName].mclass,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: (group, options) => {
+    if (group.delim === ".") {
+      // Empty delimiters still count as elements, even though they don't
+      // show anything.
+      return buildCommon.makeSpan([group.mclass]);
+    } // Use delimiter.sizedDelim to generate the delimiter.
+
+
+    return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]);
+  },
+  mathmlBuilder: group => {
+    const children = [];
+
+    if (group.delim !== ".") {
+      children.push(makeText(group.delim, group.mode));
+    }
+
+    const node = new mathMLTree.MathNode("mo", children);
+
+    if (group.mclass === "mopen" || group.mclass === "mclose") {
+      // Only some of the delimsizing functions act as fences, and they
+      // return "mopen" or "mclose" mclass.
+      node.setAttribute("fence", "true");
+    } else {
+      // Explicitly disable fencing if it's not a fence, to override the
+      // defaults.
+      node.setAttribute("fence", "false");
+    }
+
+    return node;
+  }
+});
+
+function assertParsed(group) {
+  if (!group.body) {
+    throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
+  }
+}
+
+defineFunction({
+  type: "leftright-right",
+  names: ["\\right"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    // \left case below triggers parsing of \right in
+    //   `const right = parser.parseFunction();`
+    // uses this return value.
+    const color = context.parser.gullet.macros.get("\\current@color");
+
+    if (color && typeof color !== "string") {
+      throw new ParseError("\\current@color set to non-string in \\right");
+    }
+
+    return {
+      type: "leftright-right",
+      mode: context.parser.mode,
+      delim: checkDelimiter(args[0], context).text,
+      color // undefined if not set via \color
+
+    };
+  }
+});
+defineFunction({
+  type: "leftright",
+  names: ["\\left"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const delim = checkDelimiter(args[0], context);
+    const parser = context.parser; // Parse out the implicit body
+
+    ++parser.leftrightDepth; // parseExpression stops before '\\right'
+
+    const body = parser.parseExpression(false);
+    --parser.leftrightDepth; // Check the next token
+
+    parser.expect("\\right", false);
+    const right = assertNodeType(parser.parseFunction(), "leftright-right");
+    return {
+      type: "leftright",
+      mode: parser.mode,
+      body,
+      left: delim.text,
+      right: right.delim,
+      rightColor: right.color
+    };
+  },
+  htmlBuilder: (group, options) => {
+    assertParsed(group); // Build the inner expression
+
+    const inner = buildExpression(group.body, options, true, ["mopen", "mclose"]);
+    let innerHeight = 0;
+    let innerDepth = 0;
+    let hadMiddle = false; // Calculate its height and depth
+
+    for (let i = 0; i < inner.length; i++) {
+      // Property `isMiddle` not defined on `span`. See comment in
+      // "middle"'s htmlBuilder.
+      // $FlowFixMe
+      if (inner[i].isMiddle) {
+        hadMiddle = true;
+      } else {
+        innerHeight = Math.max(inner[i].height, innerHeight);
+        innerDepth = Math.max(inner[i].depth, innerDepth);
+      }
+    } // The size of delimiters is the same, regardless of what style we are
+    // in. Thus, to correctly calculate the size of delimiter we need around
+    // a group, we scale down the inner size based on the size.
+
+
+    innerHeight *= options.sizeMultiplier;
+    innerDepth *= options.sizeMultiplier;
+    let leftDelim;
+
+    if (group.left === ".") {
+      // Empty delimiters in \left and \right make null delimiter spaces.
+      leftDelim = makeNullDelimiter(options, ["mopen"]);
+    } else {
+      // Otherwise, use leftRightDelim to generate the correct sized
+      // delimiter.
+      leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]);
+    } // Add it to the beginning of the expression
+
+
+    inner.unshift(leftDelim); // Handle middle delimiters
+
+    if (hadMiddle) {
+      for (let i = 1; i < inner.length; i++) {
+        const middleDelim = inner[i]; // Property `isMiddle` not defined on `span`. See comment in
+        // "middle"'s htmlBuilder.
+        // $FlowFixMe
+
+        const isMiddle = middleDelim.isMiddle;
+
+        if (isMiddle) {
+          // Apply the options that were active when \middle was called
+          inner[i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []);
+        }
+      }
+    }
+
+    let rightDelim; // Same for the right delimiter, but using color specified by \color
+
+    if (group.right === ".") {
+      rightDelim = makeNullDelimiter(options, ["mclose"]);
+    } else {
+      const colorOptions = group.rightColor ? options.withColor(group.rightColor) : options;
+      rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]);
+    } // Add it to the end of the expression.
+
+
+    inner.push(rightDelim);
+    return buildCommon.makeSpan(["minner"], inner, options);
+  },
+  mathmlBuilder: (group, options) => {
+    assertParsed(group);
+    const inner = buildExpression$1(group.body, options);
+
+    if (group.left !== ".") {
+      const leftNode = new mathMLTree.MathNode("mo", [makeText(group.left, group.mode)]);
+      leftNode.setAttribute("fence", "true");
+      inner.unshift(leftNode);
+    }
+
+    if (group.right !== ".") {
+      const rightNode = new mathMLTree.MathNode("mo", [makeText(group.right, group.mode)]);
+      rightNode.setAttribute("fence", "true");
+
+      if (group.rightColor) {
+        rightNode.setAttribute("mathcolor", group.rightColor);
+      }
+
+      inner.push(rightNode);
+    }
+
+    return makeRow(inner);
+  }
+});
+defineFunction({
+  type: "middle",
+  names: ["\\middle"],
+  props: {
+    numArgs: 1
+  },
+  handler: (context, args) => {
+    const delim = checkDelimiter(args[0], context);
+
+    if (!context.parser.leftrightDepth) {
+      throw new ParseError("\\middle without preceding \\left", delim);
+    }
+
+    return {
+      type: "middle",
+      mode: context.parser.mode,
+      delim: delim.text
+    };
+  },
+  htmlBuilder: (group, options) => {
+    let middleDelim;
+
+    if (group.delim === ".") {
+      middleDelim = makeNullDelimiter(options, []);
+    } else {
+      middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []);
+      const isMiddle = {
+        delim: group.delim,
+        options
+      }; // Property `isMiddle` not defined on `span`. It is only used in
+      // this file above.
+      // TODO: Fix this violation of the `span` type and possibly rename
+      // things since `isMiddle` sounds like a boolean, but is a struct.
+      // $FlowFixMe
+
+      middleDelim.isMiddle = isMiddle;
+    }
+
+    return middleDelim;
+  },
+  mathmlBuilder: (group, options) => {
+    // A Firefox \middle will strech a character vertically only if it
+    // is in the fence part of the operator dictionary at:
+    // https://www.w3.org/TR/MathML3/appendixc.html.
+    // So we need to avoid U+2223 and use plain "|" instead.
+    const textNode = group.delim === "\\vert" || group.delim === "|" ? makeText("|", "text") : makeText(group.delim, group.mode);
+    const middleNode = new mathMLTree.MathNode("mo", [textNode]);
+    middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each <mo> element.
+    // \middle should get delimiter spacing instead.
+
+    middleNode.setAttribute("lspace", "0.05em");
+    middleNode.setAttribute("rspace", "0.05em");
+    return middleNode;
+  }
+});
+
+const htmlBuilder$2 = (group, options) => {
+  // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox
+  // Some groups can return document fragments.  Handle those by wrapping
+  // them in a span.
+  const inner = buildCommon.wrapFragment(buildGroup(group.body, options), options);
+  const label = group.label.substr(1);
+  const scale = options.sizeMultiplier;
+  let img;
+  let imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different
+  // depending on whether the subject is wider than it is tall, or vice versa.
+  // We don't know the width of a group, so as a proxy, we test if
+  // the subject is a single character. This captures most of the
+  // subjects that should get the "tall" treatment.
+
+  const isSingleChar = utils.isCharacterBox(group.body);
+
+  if (label === "sout") {
+    img = buildCommon.makeSpan(["stretchy", "sout"]);
+    img.height = options.fontMetrics().defaultRuleThickness / scale;
+    imgShift = -0.5 * options.fontMetrics().xHeight;
+  } else {
+    // Add horizontal padding
+    if (/cancel/.test(label)) {
+      if (!isSingleChar) {
+        inner.classes.push("cancel-pad");
+      }
+    } else {
+      inner.classes.push("boxpad");
+    } // Add vertical padding
+
+
+    let vertPad = 0;
+    let ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2"
+
+    if (/box/.test(label)) {
+      ruleThickness = Math.max(options.fontMetrics().fboxrule, // default
+      options.minRuleThickness // User override.
+      );
+      vertPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
+    } else {
+      vertPad = isSingleChar ? 0.2 : 0;
+    }
+
+    img = stretchy.encloseSpan(inner, label, vertPad, options);
+
+    if (/fbox|boxed|fcolorbox/.test(label)) {
+      img.style.borderStyle = "solid";
+      img.style.borderWidth = `${ruleThickness}em`;
+    }
+
+    imgShift = inner.depth + vertPad;
+
+    if (group.backgroundColor) {
+      img.style.backgroundColor = group.backgroundColor;
+
+      if (group.borderColor) {
+        img.style.borderColor = group.borderColor;
+      }
+    }
+  }
+
+  let vlist;
+
+  if (group.backgroundColor) {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Put the color background behind inner;
+      {
+        type: "elem",
+        elem: img,
+        shift: imgShift
+      }, {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }]
+    }, options);
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [// Write the \cancel stroke on top of inner.
+      {
+        type: "elem",
+        elem: inner,
+        shift: 0
+      }, {
+        type: "elem",
+        elem: img,
+        shift: imgShift,
+        wrapperClasses: /cancel/.test(label) ? ["svg-align"] : []
+      }]
+    }, options);
+  }
+
+  if (/cancel/.test(label)) {
+    // The cancel package documentation says that cancel lines add their height
+    // to the expression, but tests show that isn't how it actually works.
+    vlist.height = inner.height;
+    vlist.depth = inner.depth;
+  }
+
+  if (/cancel/.test(label) && !isSingleChar) {
+    // cancel does not create horiz space for its line extension.
+    return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options);
+  } else {
+    return buildCommon.makeSpan(["mord"], [vlist], options);
+  }
+};
+
+const mathmlBuilder$2 = (group, options) => {
+  let fboxsep = 0;
+  const node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildGroup$1(group.body, options)]);
+
+  switch (group.label) {
+    case "\\cancel":
+      node.setAttribute("notation", "updiagonalstrike");
+      break;
+
+    case "\\bcancel":
+      node.setAttribute("notation", "downdiagonalstrike");
+      break;
+
+    case "\\sout":
+      node.setAttribute("notation", "horizontalstrike");
+      break;
+
+    case "\\fbox":
+      node.setAttribute("notation", "box");
+      break;
+
+    case "\\fcolorbox":
+    case "\\colorbox":
+      // <menclose> doesn't have a good notation option. So use <mpadded>
+      // instead. Set some attributes that come included with <menclose>.
+      fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm;
+      node.setAttribute("width", `+${2 * fboxsep}pt`);
+      node.setAttribute("height", `+${2 * fboxsep}pt`);
+      node.setAttribute("lspace", `${fboxsep}pt`); //
+
+      node.setAttribute("voffset", `${fboxsep}pt`);
+
+      if (group.label === "\\fcolorbox") {
+        const thk = Math.max(options.fontMetrics().fboxrule, // default
+        options.minRuleThickness // user override
+        );
+        node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor));
+      }
+
+      break;
+
+    case "\\xcancel":
+      node.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
+      break;
+  }
+
+  if (group.backgroundColor) {
+    node.setAttribute("mathbackground", group.backgroundColor);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "enclose",
+  names: ["\\colorbox"],
+  props: {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "text"]
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const color = assertNodeType(args[0], "color-token").color;
+    const body = args[1];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor: color,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$2,
+  mathmlBuilder: mathmlBuilder$2
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fcolorbox"],
+  props: {
+    numArgs: 3,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "color", "text"]
+  },
+
+  handler(_ref2, args, optArgs) {
+    let parser = _ref2.parser,
+        funcName = _ref2.funcName;
+    const borderColor = assertNodeType(args[0], "color-token").color;
+    const backgroundColor = assertNodeType(args[1], "color-token").color;
+    const body = args[2];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      backgroundColor,
+      borderColor,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$2,
+  mathmlBuilder: mathmlBuilder$2
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\fbox"],
+  props: {
+    numArgs: 1,
+    argTypes: ["hbox"],
+    allowedInText: true
+  },
+
+  handler(_ref3, args) {
+    let parser = _ref3.parser;
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: "\\fbox",
+      body: args[0]
+    };
+  }
+
+});
+defineFunction({
+  type: "enclose",
+  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref4, args, optArgs) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    const body = args[0];
+    return {
+      type: "enclose",
+      mode: parser.mode,
+      label: funcName,
+      body
+    };
+  },
+
+  htmlBuilder: htmlBuilder$2,
+  mathmlBuilder: mathmlBuilder$2
+});
+
+/**
+ * All registered environments.
+ * `environments.js` exports this same dictionary again and makes it public.
+ * `Parser.js` requires this dictionary via `environments.js`.
+ */
+const _environments = {};
+function defineEnvironment(_ref) {
+  let type = _ref.type,
+      names = _ref.names,
+      props = _ref.props,
+      handler = _ref.handler,
+      htmlBuilder = _ref.htmlBuilder,
+      mathmlBuilder = _ref.mathmlBuilder;
+  // Set default values of environments.
+  const data = {
+    type,
+    numArgs: props.numArgs || 0,
+    greediness: 1,
+    allowedInText: false,
+    numOptionalArgs: 0,
+    handler
+  };
+
+  for (let i = 0; i < names.length; ++i) {
+    // TODO: The value type of _environments should be a type union of all
+    // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is
+    // an existential type.
+    // $FlowFixMe
+    _environments[names[i]] = data;
+  }
+
+  if (htmlBuilder) {
+    _htmlGroupBuilders[type] = htmlBuilder;
+  }
+
+  if (mathmlBuilder) {
+    _mathmlGroupBuilders[type] = mathmlBuilder;
+  }
+}
+
+function getHLines(parser) {
+  // Return an array. The array length = number of hlines.
+  // Each element in the array tells if the line is dashed.
+  const hlineInfo = [];
+  parser.consumeSpaces();
+  let nxt = parser.fetch().text;
+
+  while (nxt === "\\hline" || nxt === "\\hdashline") {
+    parser.consume();
+    hlineInfo.push(nxt === "\\hdashline");
+    parser.consumeSpaces();
+    nxt = parser.fetch().text;
+  }
+
+  return hlineInfo;
+}
+/**
+ * Parse the body of the environment, with rows delimited by \\ and
+ * columns delimited by &, and create a nested list in row-major order
+ * with one group per cell.  If given an optional argument style
+ * ("text", "display", etc.), then each cell is cast into that style.
+ */
+
+
+function parseArray(parser, _ref, style) {
+  let hskipBeforeAndAfter = _ref.hskipBeforeAndAfter,
+      addJot = _ref.addJot,
+      cols = _ref.cols,
+      arraystretch = _ref.arraystretch,
+      colSeparationType = _ref.colSeparationType;
+  // Parse body of array with \\ temporarily mapped to \cr
+  parser.gullet.beginGroup();
+  parser.gullet.macros.set("\\\\", "\\cr"); // Get current arraystretch if it's not set by the environment
+
+  if (!arraystretch) {
+    const stretch = parser.gullet.expandMacroAsText("\\arraystretch");
+
+    if (stretch == null) {
+      // Default \arraystretch from lttab.dtx
+      arraystretch = 1;
+    } else {
+      arraystretch = parseFloat(stretch);
+
+      if (!arraystretch || arraystretch < 0) {
+        throw new ParseError(`Invalid \\arraystretch: ${stretch}`);
+      }
+    }
+  } // Start group for first cell
+
+
+  parser.gullet.beginGroup();
+  let row = [];
+  const body = [row];
+  const rowGaps = [];
+  const hLinesBeforeRow = []; // Test for \hline at the top of the array.
+
+  hLinesBeforeRow.push(getHLines(parser));
+
+  while (true) {
+    // eslint-disable-line no-constant-condition
+    // Parse each cell in its own group (namespace)
+    let cell = parser.parseExpression(false, "\\cr");
+    parser.gullet.endGroup();
+    parser.gullet.beginGroup();
+    cell = {
+      type: "ordgroup",
+      mode: parser.mode,
+      body: cell
+    };
+
+    if (style) {
+      cell = {
+        type: "styling",
+        mode: parser.mode,
+        style,
+        body: [cell]
+      };
+    }
+
+    row.push(cell);
+    const next = parser.fetch().text;
+
+    if (next === "&") {
+      parser.consume();
+    } else if (next === "\\end") {
+      // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
+      // the last line is empty.
+      // NOTE: Currently, `cell` is the last item added into `row`.
+      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0) {
+        body.pop();
+      }
+
+      if (hLinesBeforeRow.length < body.length + 1) {
+        hLinesBeforeRow.push([]);
+      }
+
+      break;
+    } else if (next === "\\cr") {
+      const cr = assertNodeType(parser.parseFunction(), "cr");
+      rowGaps.push(cr.size); // check for \hline(s) following the row separator
+
+      hLinesBeforeRow.push(getHLines(parser));
+      row = [];
+      body.push(row);
+    } else {
+      throw new ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
+    }
+  } // End cell group
+
+
+  parser.gullet.endGroup(); // End array group defining \\
+
+  parser.gullet.endGroup();
+  return {
+    type: "array",
+    mode: parser.mode,
+    addJot,
+    arraystretch,
+    body,
+    cols,
+    rowGaps,
+    hskipBeforeAndAfter,
+    hLinesBeforeRow,
+    colSeparationType
+  };
+} // Decides on a style for cells in an array according to whether the given
+// environment name starts with the letter 'd'.
+
+
+function dCellStyle(envName) {
+  if (envName.substr(0, 1) === "d") {
+    return "display";
+  } else {
+    return "text";
+  }
+}
+
+const htmlBuilder$3 = function htmlBuilder(group, options) {
+  let r;
+  let c;
+  const nr = group.body.length;
+  const hLinesBeforeRow = group.hLinesBeforeRow;
+  let nc = 0;
+  let body = new Array(nr);
+  const hlines = [];
+  const ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em.
+  options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override.
+  ); // Horizontal spacing
+
+  const pt = 1 / options.fontMetrics().ptPerEm;
+  let arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls
+
+  if (group.colSeparationType && group.colSeparationType === "small") {
+    // We're in a {smallmatrix}. Default column space is \thickspace,
+    // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}.
+    // But that needs adjustment because LaTeX applies \scriptstyle to the
+    // entire array, including the colspace, but this function applies
+    // \scriptstyle only inside each element.
+    const localMultiplier = options.havingStyle(Style$1.SCRIPT).sizeMultiplier;
+    arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier);
+  } // Vertical spacing
+
+
+  const baselineskip = 12 * pt; // see size10.clo
+  // Default \jot from ltmath.dtx
+  // TODO(edemaine): allow overriding \jot via \setlength (#687)
+
+  const jot = 3 * pt;
+  const arrayskip = group.arraystretch * baselineskip;
+  const arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and
+
+  const arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx
+
+  let totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any.
+
+  function setHLinePos(hlinesInGap) {
+    for (let i = 0; i < hlinesInGap.length; ++i) {
+      if (i > 0) {
+        totalHeight += 0.25;
+      }
+
+      hlines.push({
+        pos: totalHeight,
+        isDashed: hlinesInGap[i]
+      });
+    }
+  }
+
+  setHLinePos(hLinesBeforeRow[0]);
+
+  for (r = 0; r < group.body.length; ++r) {
+    const inrow = group.body[r];
+    let height = arstrutHeight; // \@array adds an \@arstrut
+
+    let depth = arstrutDepth; // to each tow (via the template)
+
+    if (nc < inrow.length) {
+      nc = inrow.length;
+    }
+
+    const outrow = new Array(inrow.length);
+
+    for (c = 0; c < inrow.length; ++c) {
+      const elt = buildGroup(inrow[c], options);
+
+      if (depth < elt.depth) {
+        depth = elt.depth;
+      }
+
+      if (height < elt.height) {
+        height = elt.height;
+      }
+
+      outrow[c] = elt;
+    }
+
+    const rowGap = group.rowGaps[r];
+    let gap = 0;
+
+    if (rowGap) {
+      gap = calculateSize(rowGap, options);
+
+      if (gap > 0) {
+        // \@argarraycr
+        gap += arstrutDepth;
+
+        if (depth < gap) {
+          depth = gap; // \@xargarraycr
+        }
+
+        gap = 0;
+      }
+    } // In AMS multiline environments such as aligned and gathered, rows
+    // correspond to lines that have additional \jot added to the
+    // \baselineskip via \openup.
+
+
+    if (group.addJot) {
+      depth += jot;
+    }
+
+    outrow.height = height;
+    outrow.depth = depth;
+    totalHeight += height;
+    outrow.pos = totalHeight;
+    totalHeight += depth + gap; // \@yargarraycr
+
+    body[r] = outrow; // Set a position for \hline(s), if any.
+
+    setHLinePos(hLinesBeforeRow[r + 1]);
+  }
+
+  const offset = totalHeight / 2 + options.fontMetrics().axisHeight;
+  const colDescriptions = group.cols || [];
+  const cols = [];
+  let colSep;
+  let colDescrNum;
+
+  for (c = 0, colDescrNum = 0; // Continue while either there are more columns or more column
+  // descriptions, so trailing separators don't get lost.
+  c < nc || colDescrNum < colDescriptions.length; ++c, ++colDescrNum) {
+    let colDescr = colDescriptions[colDescrNum] || {};
+    let firstSeparator = true;
+
+    while (colDescr.type === "separator") {
+      // If there is more than one separator in a row, add a space
+      // between them.
+      if (!firstSeparator) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = options.fontMetrics().doubleRuleSep + "em";
+        cols.push(colSep);
+      }
+
+      if (colDescr.separator === "|" || colDescr.separator === ":") {
+        const lineType = colDescr.separator === "|" ? "solid" : "dashed";
+        const separator = buildCommon.makeSpan(["vertical-separator"], [], options);
+        separator.style.height = totalHeight + "em";
+        separator.style.borderRightWidth = `${ruleThickness}em`;
+        separator.style.borderRightStyle = lineType;
+        separator.style.margin = `0 -${ruleThickness / 2}em`;
+        separator.style.verticalAlign = -(totalHeight - offset) + "em";
+        cols.push(separator);
+      } else {
+        throw new ParseError("Invalid separator type: " + colDescr.separator);
+      }
+
+      colDescrNum++;
+      colDescr = colDescriptions[colDescrNum] || {};
+      firstSeparator = false;
+    }
+
+    if (c >= nc) {
+      continue;
+    }
+
+    let sepwidth;
+
+    if (c > 0 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.pregap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+
+    let col = [];
+
+    for (r = 0; r < nr; ++r) {
+      const row = body[r];
+      const elem = row[c];
+
+      if (!elem) {
+        continue;
+      }
+
+      const shift = row.pos - offset;
+      elem.depth = row.depth;
+      elem.height = row.height;
+      col.push({
+        type: "elem",
+        elem: elem,
+        shift: shift
+      });
+    }
+
+    col = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: col
+    }, options);
+    col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]);
+    cols.push(col);
+
+    if (c < nc - 1 || group.hskipBeforeAndAfter) {
+      sepwidth = utils.deflt(colDescr.postgap, arraycolsep);
+
+      if (sepwidth !== 0) {
+        colSep = buildCommon.makeSpan(["arraycolsep"], []);
+        colSep.style.width = sepwidth + "em";
+        cols.push(colSep);
+      }
+    }
+  }
+
+  body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any.
+
+  if (hlines.length > 0) {
+    const line = buildCommon.makeLineSpan("hline", options, ruleThickness);
+    const dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness);
+    const vListElems = [{
+      type: "elem",
+      elem: body,
+      shift: 0
+    }];
+
+    while (hlines.length > 0) {
+      const hline = hlines.pop();
+      const lineShift = hline.pos - offset;
+
+      if (hline.isDashed) {
+        vListElems.push({
+          type: "elem",
+          elem: dashes,
+          shift: lineShift
+        });
+      } else {
+        vListElems.push({
+          type: "elem",
+          elem: line,
+          shift: lineShift
+        });
+      }
+    }
+
+    body = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: vListElems
+    }, options);
+  }
+
+  return buildCommon.makeSpan(["mord"], [body], options);
+};
+
+const alignMap = {
+  c: "center ",
+  l: "left ",
+  r: "right "
+};
+
+const mathmlBuilder$3 = function mathmlBuilder(group, options) {
+  let table = new mathMLTree.MathNode("mtable", group.body.map(function (row) {
+    return new mathMLTree.MathNode("mtr", row.map(function (cell) {
+      return new mathMLTree.MathNode("mtd", [buildGroup$1(cell, options)]);
+    }));
+  })); // Set column alignment, row spacing, column spacing, and
+  // array lines by setting attributes on the table element.
+  // Set the row spacing. In MathML, we specify a gap distance.
+  // We do not use rowGap[] because MathML automatically increases
+  // cell height with the height/depth of the element content.
+  // LaTeX \arraystretch multiplies the row baseline-to-baseline distance.
+  // We simulate this by adding (arraystretch - 1)em to the gap. This
+  // does a reasonable job of adjusting arrays containing 1 em tall content.
+  // The 0.16 and 0.09 values are found emprically. They produce an array
+  // similar to LaTeX and in which content does not interfere with \hines.
+
+  const gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
+  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
+  table.setAttribute("rowspacing", gap + "em"); // MathML table lines go only between cells.
+  // To place a line on an edge we'll use <menclose>, if necessary.
+
+  let menclose = "";
+  let align = "";
+
+  if (group.cols && group.cols.length > 0) {
+    // Find column alignment, column spacing, and  vertical lines.
+    const cols = group.cols;
+    let columnLines = "";
+    let prevTypeWasAlign = false;
+    let iStart = 0;
+    let iEnd = cols.length;
+
+    if (cols[0].type === "separator") {
+      menclose += "top ";
+      iStart = 1;
+    }
+
+    if (cols[cols.length - 1].type === "separator") {
+      menclose += "bottom ";
+      iEnd -= 1;
+    }
+
+    for (let i = iStart; i < iEnd; i++) {
+      if (cols[i].type === "align") {
+        align += alignMap[cols[i].align];
+
+        if (prevTypeWasAlign) {
+          columnLines += "none ";
+        }
+
+        prevTypeWasAlign = true;
+      } else if (cols[i].type === "separator") {
+        // MathML accepts only single lines between cells.
+        // So we read only the first of consecutive separators.
+        if (prevTypeWasAlign) {
+          columnLines += cols[i].separator === "|" ? "solid " : "dashed ";
+          prevTypeWasAlign = false;
+        }
+      }
+    }
+
+    table.setAttribute("columnalign", align.trim());
+
+    if (/[sd]/.test(columnLines)) {
+      table.setAttribute("columnlines", columnLines.trim());
+    }
+  } // Set column spacing.
+
+
+  if (group.colSeparationType === "align") {
+    const cols = group.cols || [];
+    let spacing = "";
+
+    for (let i = 1; i < cols.length; i++) {
+      spacing += i % 2 ? "0em " : "1em ";
+    }
+
+    table.setAttribute("columnspacing", spacing.trim());
+  } else if (group.colSeparationType === "alignat") {
+    table.setAttribute("columnspacing", "0em");
+  } else if (group.colSeparationType === "small") {
+    table.setAttribute("columnspacing", "0.2778em");
+  } else {
+    table.setAttribute("columnspacing", "1em");
+  } // Address \hline and \hdashline
+
+
+  let rowLines = "";
+  const hlines = group.hLinesBeforeRow;
+  menclose += hlines[0].length > 0 ? "left " : "";
+  menclose += hlines[hlines.length - 1].length > 0 ? "right " : "";
+
+  for (let i = 1; i < hlines.length - 1; i++) {
+    rowLines += hlines[i].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
+    : hlines[i][0] ? "dashed " : "solid ";
+  }
+
+  if (/[sd]/.test(rowLines)) {
+    table.setAttribute("rowlines", rowLines.trim());
+  }
+
+  if (menclose !== "") {
+    table = new mathMLTree.MathNode("menclose", [table]);
+    table.setAttribute("notation", menclose.trim());
+  }
+
+  if (group.arraystretch && group.arraystretch < 1) {
+    // A small array. Wrap in scriptstyle so row gap is not too large.
+    table = new mathMLTree.MathNode("mstyle", [table]);
+    table.setAttribute("scriptlevel", "1");
+  }
+
+  return table;
+}; // Convenience function for aligned and alignedat environments.
+
+
+const alignedHandler = function alignedHandler(context, args) {
+  const cols = [];
+  const res = parseArray(context.parser, {
+    cols,
+    addJot: true
+  }, "display"); // Determining number of columns.
+  // 1. If the first argument is given, we use it as a number of columns,
+  //    and makes sure that each row doesn't exceed that number.
+  // 2. Otherwise, just count number of columns = maximum number
+  //    of cells in each row ("aligned" mode -- isAligned will be true).
+  //
+  // At the same time, prepend empty group {} at beginning of every second
+  // cell in each row (starting with second cell) so that operators become
+  // binary.  This behavior is implemented in amsmath's \start@aligned.
+
+  let numMaths;
+  let numCols = 0;
+  const emptyGroup = {
+    type: "ordgroup",
+    mode: context.mode,
+    body: []
+  };
+
+  if (args[0] && args[0].type === "ordgroup") {
+    let arg0 = "";
+
+    for (let i = 0; i < args[0].body.length; i++) {
+      const textord = assertNodeType(args[0].body[i], "textord");
+      arg0 += textord.text;
+    }
+
+    numMaths = Number(arg0);
+    numCols = numMaths * 2;
+  }
+
+  const isAligned = !numCols;
+  res.body.forEach(function (row) {
+    for (let i = 1; i < row.length; i += 2) {
+      // Modify ordgroup node within styling node
+      const styling = assertNodeType(row[i], "styling");
+      const ordgroup = assertNodeType(styling.body[0], "ordgroup");
+      ordgroup.body.unshift(emptyGroup);
+    }
+
+    if (!isAligned) {
+      // Case 1
+      const curMaths = row.length / 2;
+
+      if (numMaths < curMaths) {
+        throw new ParseError("Too many math in a row: " + `expected ${numMaths}, but got ${curMaths}`, row[0]);
+      }
+    } else if (numCols < row.length) {
+      // Case 2
+      numCols = row.length;
+    }
+  }); // Adjusting alignment.
+  // In aligned mode, we add one \qquad between columns;
+  // otherwise we add nothing.
+
+  for (let i = 0; i < numCols; ++i) {
+    let align = "r";
+    let pregap = 0;
+
+    if (i % 2 === 1) {
+      align = "l";
+    } else if (i > 0 && isAligned) {
+      // "aligned" mode.
+      pregap = 1; // add one \quad
+    }
+
+    cols[i] = {
+      type: "align",
+      align: align,
+      pregap: pregap,
+      postgap: 0
+    };
+  }
+
+  res.colSeparationType = isAligned ? "align" : "alignat";
+  return res;
+}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation
+// is part of the source2e.pdf file of LaTeX2e source documentation.
+// {darray} is an {array} environment where cells are set in \displaystyle,
+// as defined in nccmath.sty.
+
+
+defineEnvironment({
+  type: "array",
+  names: ["array", "darray"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(context, args) {
+    // Since no types are specified above, the two possibilities are
+    // - The argument is wrapped in {} or [], in which case Parser's
+    //   parseGroup() returns an "ordgroup" wrapping some symbol node.
+    // - The argument is a bare symbol node.
+    const symNode = checkSymbolNodeType(args[0]);
+    const colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    const cols = colalign.map(function (nde) {
+      const node = assertSymbolNodeType(nde);
+      const ca = node.text;
+
+      if ("lcr".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      } else if (ca === "|") {
+        return {
+          type: "separator",
+          separator: "|"
+        };
+      } else if (ca === ":") {
+        return {
+          type: "separator",
+          separator: ":"
+        };
+      }
+
+      throw new ParseError("Unknown column alignment: " + ca, nde);
+    });
+    const res = {
+      cols,
+      hskipBeforeAndAfter: true // \@preamble in lttab.dtx
+
+    };
+    return parseArray(context.parser, res, dCellStyle(context.envName));
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // The matrix environments of amsmath builds on the array environment
+// of LaTeX, which is discussed above.
+
+defineEnvironment({
+  type: "array",
+  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const delimiters = {
+      "matrix": null,
+      "pmatrix": ["(", ")"],
+      "bmatrix": ["[", "]"],
+      "Bmatrix": ["\\{", "\\}"],
+      "vmatrix": ["|", "|"],
+      "Vmatrix": ["\\Vert", "\\Vert"]
+    }[context.envName]; // \hskip -\arraycolsep in amsmath
+
+    const payload = {
+      hskipBeforeAndAfter: false
+    };
+    const res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return delimiters ? {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: delimiters[0],
+      right: delimiters[1],
+      rightColor: undefined // \right uninfluenced by \color in array
+
+    } : res;
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+});
+defineEnvironment({
+  type: "array",
+  names: ["smallmatrix"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const payload = {
+      arraystretch: 0.5
+    };
+    const res = parseArray(context.parser, payload, "script");
+    res.colSeparationType = "small";
+    return res;
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+});
+defineEnvironment({
+  type: "array",
+  names: ["subarray"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(context, args) {
+    // Parsing of {subarray} is similar to {array}
+    const symNode = checkSymbolNodeType(args[0]);
+    const colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
+    const cols = colalign.map(function (nde) {
+      const node = assertSymbolNodeType(nde);
+      const ca = node.text; // {subarray} only recognizes "l" & "c"
+
+      if ("lc".indexOf(ca) !== -1) {
+        return {
+          type: "align",
+          align: ca
+        };
+      }
+
+      throw new ParseError("Unknown column alignment: " + ca, nde);
+    });
+
+    if (cols.length > 1) {
+      throw new ParseError("{subarray} can contain only one column");
+    }
+
+    let res = {
+      cols,
+      hskipBeforeAndAfter: false,
+      arraystretch: 0.5
+    };
+    res = parseArray(context.parser, res, "script");
+
+    if (res.body.length > 0 && res.body[0].length > 1) {
+      throw new ParseError("{subarray} can contain only one column");
+    }
+
+    return res;
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // A cases environment (in amsmath.sty) is almost equivalent to
+// \def\arraystretch{1.2}%
+// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
+// {dcases} is a {cases} environment where cells are set in \displaystyle,
+// as defined in mathtools.sty.
+// {rcases} is another mathtools environment. It's brace is on the right side.
+
+defineEnvironment({
+  type: "array",
+  names: ["cases", "dcases", "rcases", "drcases"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const payload = {
+      arraystretch: 1.2,
+      cols: [{
+        type: "align",
+        align: "l",
+        pregap: 0,
+        // TODO(kevinb) get the current style.
+        // For now we use the metrics for TEXT style which is what we were
+        // doing before.  Before attempting to get the current style we
+        // should look at TeX's behavior especially for \over and matrices.
+        postgap: 1.0
+        /* 1em quad */
+
+      }, {
+        type: "align",
+        align: "l",
+        pregap: 0,
+        postgap: 0
+      }]
+    };
+    const res = parseArray(context.parser, payload, dCellStyle(context.envName));
+    return {
+      type: "leftright",
+      mode: context.mode,
+      body: [res],
+      left: context.envName.indexOf("r") > -1 ? "." : "\\{",
+      right: context.envName.indexOf("r") > -1 ? "\\}" : ".",
+      rightColor: undefined
+    };
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // An aligned environment is like the align* environment
+// except it operates within math mode.
+// Note that we assume \nomallineskiplimit to be zero,
+// so that \strut@ is the same as \strut.
+
+defineEnvironment({
+  type: "array",
+  names: ["aligned"],
+  props: {
+    numArgs: 0
+  },
+  handler: alignedHandler,
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // A gathered environment is like an array environment with one centered
+// column, but where rows are considered lines so get \jot line spacing
+// and contents are set in \displaystyle.
+
+defineEnvironment({
+  type: "array",
+  names: ["gathered"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(context) {
+    const res = {
+      cols: [{
+        type: "align",
+        align: "c"
+      }],
+      addJot: true
+    };
+    return parseArray(context.parser, res, "display");
+  },
+
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // alignat environment is like an align environment, but one must explicitly
+// specify maximum number of columns in each row, and can adjust spacing between
+// each columns.
+
+defineEnvironment({
+  type: "array",
+  names: ["alignedat"],
+  // One for numbered and for unnumbered;
+  // but, KaTeX doesn't supports math numbering yet,
+  // they make no difference for now.
+  props: {
+    numArgs: 1
+  },
+  handler: alignedHandler,
+  htmlBuilder: htmlBuilder$3,
+  mathmlBuilder: mathmlBuilder$3
+}); // Catch \hline outside array environment
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\hline", "\\hdashline"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: true
+  },
+
+  handler(context, args) {
+    throw new ParseError(`${context.funcName} valid only within array environment`);
+  }
+
+});
+
+const environments = _environments;
+
+// defineEnvironment definitions.
+// $FlowFixMe, "environment" handler returns an environment ParseNode
+
+defineFunction({
+  type: "environment",
+  names: ["\\begin", "\\end"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"]
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const nameGroup = args[0];
+
+    if (nameGroup.type !== "ordgroup") {
+      throw new ParseError("Invalid environment name", nameGroup);
+    }
+
+    let envName = "";
+
+    for (let i = 0; i < nameGroup.body.length; ++i) {
+      envName += assertNodeType(nameGroup.body[i], "textord").text;
+    }
+
+    if (funcName === "\\begin") {
+      // begin...end is similar to left...right
+      if (!environments.hasOwnProperty(envName)) {
+        throw new ParseError("No such environment: " + envName, nameGroup);
+      } // Build the environment object. Arguments and other information will
+      // be made available to the begin and end methods using properties.
+
+
+      const env = environments[envName];
+
+      const _parser$parseArgument = parser.parseArguments("\\begin{" + envName + "}", env),
+            args = _parser$parseArgument.args,
+            optArgs = _parser$parseArgument.optArgs;
+
+      const context = {
+        mode: parser.mode,
+        envName,
+        parser
+      };
+      const result = env.handler(context, args, optArgs);
+      parser.expect("\\end", false);
+      const endNameToken = parser.nextToken;
+      const end = assertNodeType(parser.parseFunction(), "environment");
+
+      if (end.name !== envName) {
+        throw new ParseError(`Mismatch: \\begin{${envName}} matched by \\end{${end.name}}`, endNameToken);
+      }
+
+      return result;
+    }
+
+    return {
+      type: "environment",
+      mode: parser.mode,
+      name: envName,
+      nameGroup
+    };
+  }
+
+});
+
+const makeSpan$2 = buildCommon.makeSpan;
+
+function htmlBuilder$4(group, options) {
+  const elements = buildExpression(group.body, options, true);
+  return makeSpan$2([group.mclass], elements, options);
+}
+
+function mathmlBuilder$4(group, options) {
+  let node;
+  const inner = buildExpression$1(group.body, options);
+
+  if (group.mclass === "minner") {
+    return mathMLTree.newDocumentFragment(inner);
+  } else if (group.mclass === "mord") {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mi";
+    } else {
+      node = new mathMLTree.MathNode("mi", inner);
+    }
+  } else {
+    if (group.isCharacterBox) {
+      node = inner[0];
+      node.type = "mo";
+    } else {
+      node = new mathMLTree.MathNode("mo", inner);
+    } // Set spacing based on what is the most likely adjacent atom type.
+    // See TeXbook p170.
+
+
+    if (group.mclass === "mbin") {
+      node.attributes.lspace = "0.22em"; // medium space
+
+      node.attributes.rspace = "0.22em";
+    } else if (group.mclass === "mpunct") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0.17em"; // thinspace
+    } else if (group.mclass === "mopen" || group.mclass === "mclose") {
+      node.attributes.lspace = "0em";
+      node.attributes.rspace = "0em";
+    } // MathML <mo> default space is 5/18 em, so <mrel> needs no action.
+    // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo
+
+  }
+
+  return node;
+} // Math class commands except \mathop
+
+
+defineFunction({
+  type: "mclass",
+  names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: "m" + funcName.substr(5),
+      // TODO(kevinb): don't prefix with 'm'
+      body: ordargument(body),
+      isCharacterBox: utils.isCharacterBox(body)
+    };
+  },
+
+  htmlBuilder: htmlBuilder$4,
+  mathmlBuilder: mathmlBuilder$4
+});
+const binrelClass = arg => {
+  // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument.
+  // (by rendering separately and with {}s before and after, and measuring
+  // the change in spacing).  We'll do roughly the same by detecting the
+  // atom type directly.
+  const atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg;
+
+  if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) {
+    return "m" + atom.family;
+  } else {
+    return "mord";
+  }
+}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord.
+// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX.
+
+defineFunction({
+  type: "mclass",
+  names: ["\\@binrel"],
+  props: {
+    numArgs: 2
+  },
+
+  handler(_ref2, args) {
+    let parser = _ref2.parser;
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(args[0]),
+      body: [args[1]],
+      isCharacterBox: utils.isCharacterBox(args[1])
+    };
+  }
+
+}); // Build a relation or stacked op by placing one symbol on top of another
+
+defineFunction({
+  type: "mclass",
+  names: ["\\stackrel", "\\overset", "\\underset"],
+  props: {
+    numArgs: 2
+  },
+
+  handler(_ref3, args) {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    const baseArg = args[1];
+    const shiftedArg = args[0];
+    let mclass;
+
+    if (funcName !== "\\stackrel") {
+      // LaTeX applies \binrel spacing to \overset and \underset.
+      mclass = binrelClass(baseArg);
+    } else {
+      mclass = "mrel"; // for \stackrel
+    }
+
+    const baseOp = {
+      type: "op",
+      mode: baseArg.mode,
+      limits: true,
+      alwaysHandleSupSub: true,
+      parentIsSupSub: false,
+      symbol: false,
+      suppressBaseShift: funcName !== "\\stackrel",
+      body: ordargument(baseArg)
+    };
+    const supsub = {
+      type: "supsub",
+      mode: shiftedArg.mode,
+      base: baseOp,
+      sup: funcName === "\\underset" ? null : shiftedArg,
+      sub: funcName === "\\underset" ? shiftedArg : null
+    };
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass,
+      body: [supsub],
+      isCharacterBox: utils.isCharacterBox(supsub)
+    };
+  },
+
+  htmlBuilder: htmlBuilder$4,
+  mathmlBuilder: mathmlBuilder$4
+});
+
+// TODO(kevinb): implement \\sl and \\sc
+
+const htmlBuilder$5 = (group, options) => {
+  const font = group.font;
+  const newOptions = options.withFont(font);
+  return buildGroup(group.body, newOptions);
+};
+
+const mathmlBuilder$5 = (group, options) => {
+  const font = group.font;
+  const newOptions = options.withFont(font);
+  return buildGroup$1(group.body, newOptions);
+};
+
+const fontAliases = {
+  "\\Bbb": "\\mathbb",
+  "\\bold": "\\mathbf",
+  "\\frak": "\\mathfrak",
+  "\\bm": "\\boldsymbol"
+};
+defineFunction({
+  type: "font",
+  names: [// styles, except \boldsymbol defined below
+  "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families
+  "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below
+  "\\Bbb", "\\bold", "\\frak"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    let func = funcName;
+
+    if (func in fontAliases) {
+      func = fontAliases[func];
+    }
+
+    return {
+      type: "font",
+      mode: parser.mode,
+      font: func.slice(1),
+      body
+    };
+  },
+  htmlBuilder: htmlBuilder$5,
+  mathmlBuilder: mathmlBuilder$5
+});
+defineFunction({
+  type: "mclass",
+  names: ["\\boldsymbol", "\\bm"],
+  props: {
+    numArgs: 1,
+    greediness: 2
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const body = args[0];
+    const isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the
+    // argument's bin|rel|ord status
+
+    return {
+      type: "mclass",
+      mode: parser.mode,
+      mclass: binrelClass(body),
+      body: [{
+        type: "font",
+        mode: parser.mode,
+        font: "boldsymbol",
+        body
+      }],
+      isCharacterBox: isCharacterBox
+    };
+  }
+}); // Old font changing functions
+
+defineFunction({
+  type: "font",
+  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: (_ref3, args) => {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName,
+        breakOnTokenText = _ref3.breakOnTokenText;
+    const mode = parser.mode;
+    const body = parser.parseExpression(true, breakOnTokenText);
+    const style = `math${funcName.slice(1)}`;
+    return {
+      type: "font",
+      mode: mode,
+      font: style,
+      body: {
+        type: "ordgroup",
+        mode: parser.mode,
+        body
+      }
+    };
+  },
+  htmlBuilder: htmlBuilder$5,
+  mathmlBuilder: mathmlBuilder$5
+});
+
+const adjustStyle = (size, originalStyle) => {
+  // Figure out what style this fraction should be in based on the
+  // function used
+  let style = originalStyle;
+
+  if (size === "display") {
+    // Get display style as a default.
+    // If incoming style is sub/sup, use style.text() to get correct size.
+    style = style.id >= Style$1.SCRIPT.id ? style.text() : Style$1.DISPLAY;
+  } else if (size === "text" && style.size === Style$1.DISPLAY.size) {
+    // We're in a \tfrac but incoming style is displaystyle, so:
+    style = Style$1.TEXT;
+  } else if (size === "script") {
+    style = Style$1.SCRIPT;
+  } else if (size === "scriptscript") {
+    style = Style$1.SCRIPTSCRIPT;
+  }
+
+  return style;
+};
+
+const htmlBuilder$6 = (group, options) => {
+  // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
+  const style = adjustStyle(group.size, options.style);
+  const nstyle = style.fracNum();
+  const dstyle = style.fracDen();
+  let newOptions;
+  newOptions = options.havingStyle(nstyle);
+  const numerm = buildGroup(group.numer, newOptions, options);
+
+  if (group.continued) {
+    // \cfrac inserts a \strut into the numerator.
+    // Get \strut dimensions from TeXbook page 353.
+    const hStrut = 8.5 / options.fontMetrics().ptPerEm;
+    const dStrut = 3.5 / options.fontMetrics().ptPerEm;
+    numerm.height = numerm.height < hStrut ? hStrut : numerm.height;
+    numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth;
+  }
+
+  newOptions = options.havingStyle(dstyle);
+  const denomm = buildGroup(group.denom, newOptions, options);
+  let rule;
+  let ruleWidth;
+  let ruleSpacing;
+
+  if (group.hasBarLine) {
+    if (group.barSize) {
+      ruleWidth = calculateSize(group.barSize, options);
+      rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth);
+    } else {
+      rule = buildCommon.makeLineSpan("frac-line", options);
+    }
+
+    ruleWidth = rule.height;
+    ruleSpacing = rule.height;
+  } else {
+    rule = null;
+    ruleWidth = 0;
+    ruleSpacing = options.fontMetrics().defaultRuleThickness;
+  } // Rule 15b
+
+
+  let numShift;
+  let clearance;
+  let denomShift;
+
+  if (style.size === Style$1.DISPLAY.size || group.size === "display") {
+    numShift = options.fontMetrics().num1;
+
+    if (ruleWidth > 0) {
+      clearance = 3 * ruleSpacing;
+    } else {
+      clearance = 7 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom1;
+  } else {
+    if (ruleWidth > 0) {
+      numShift = options.fontMetrics().num2;
+      clearance = ruleSpacing;
+    } else {
+      numShift = options.fontMetrics().num3;
+      clearance = 3 * ruleSpacing;
+    }
+
+    denomShift = options.fontMetrics().denom2;
+  }
+
+  let frac;
+
+  if (!rule) {
+    // Rule 15c
+    const candidateClearance = numShift - numerm.depth - (denomm.height - denomShift);
+
+    if (candidateClearance < clearance) {
+      numShift += 0.5 * (clearance - candidateClearance);
+      denomShift += 0.5 * (clearance - candidateClearance);
+    }
+
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } else {
+    // Rule 15d
+    const axisHeight = options.fontMetrics().axisHeight;
+
+    if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) {
+      numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth));
+    }
+
+    if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) {
+      denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift));
+    }
+
+    const midShift = -(axisHeight - 0.5 * ruleWidth);
+    frac = buildCommon.makeVList({
+      positionType: "individualShift",
+      children: [{
+        type: "elem",
+        elem: denomm,
+        shift: denomShift
+      }, {
+        type: "elem",
+        elem: rule,
+        shift: midShift
+      }, {
+        type: "elem",
+        elem: numerm,
+        shift: -numShift
+      }]
+    }, options);
+  } // Since we manually change the style sometimes (with \dfrac or \tfrac),
+  // account for the possible size change here.
+
+
+  newOptions = options.havingStyle(style);
+  frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier;
+  frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e
+
+  let delimSize;
+
+  if (style.size === Style$1.DISPLAY.size) {
+    delimSize = options.fontMetrics().delim1;
+  } else {
+    delimSize = options.fontMetrics().delim2;
+  }
+
+  let leftDelim;
+  let rightDelim;
+
+  if (group.leftDelim == null) {
+    leftDelim = makeNullDelimiter(options, ["mopen"]);
+  } else {
+    leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]);
+  }
+
+  if (group.continued) {
+    rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac
+  } else if (group.rightDelim == null) {
+    rightDelim = makeNullDelimiter(options, ["mclose"]);
+  } else {
+    rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]);
+  }
+
+  return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options);
+};
+
+const mathmlBuilder$6 = (group, options) => {
+  let node = new mathMLTree.MathNode("mfrac", [buildGroup$1(group.numer, options), buildGroup$1(group.denom, options)]);
+
+  if (!group.hasBarLine) {
+    node.setAttribute("linethickness", "0px");
+  } else if (group.barSize) {
+    const ruleWidth = calculateSize(group.barSize, options);
+    node.setAttribute("linethickness", ruleWidth + "em");
+  }
+
+  const style = adjustStyle(group.size, options.style);
+
+  if (style.size !== options.style.size) {
+    node = new mathMLTree.MathNode("mstyle", [node]);
+    const isDisplay = style.size === Style$1.DISPLAY.size ? "true" : "false";
+    node.setAttribute("displaystyle", isDisplay);
+    node.setAttribute("scriptlevel", "0");
+  }
+
+  if (group.leftDelim != null || group.rightDelim != null) {
+    const withDelims = [];
+
+    if (group.leftDelim != null) {
+      const leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]);
+      leftOp.setAttribute("fence", "true");
+      withDelims.push(leftOp);
+    }
+
+    withDelims.push(node);
+
+    if (group.rightDelim != null) {
+      const rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]);
+      rightOp.setAttribute("fence", "true");
+      withDelims.push(rightOp);
+    }
+
+    return makeRow(withDelims);
+  }
+
+  return node;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\cfrac", "\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
+  "\\\\bracefrac", "\\\\brackfrac"],
+  props: {
+    numArgs: 2,
+    greediness: 2
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const numer = args[0];
+    const denom = args[1];
+    let hasBarLine;
+    let leftDelim = null;
+    let rightDelim = null;
+    let size = "auto";
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\frac":
+      case "\\tfrac":
+        hasBarLine = true;
+        break;
+
+      case "\\\\atopfrac":
+        hasBarLine = false;
+        break;
+
+      case "\\dbinom":
+      case "\\binom":
+      case "\\tbinom":
+        hasBarLine = false;
+        leftDelim = "(";
+        rightDelim = ")";
+        break;
+
+      case "\\\\bracefrac":
+        hasBarLine = false;
+        leftDelim = "\\{";
+        rightDelim = "\\}";
+        break;
+
+      case "\\\\brackfrac":
+        hasBarLine = false;
+        leftDelim = "[";
+        rightDelim = "]";
+        break;
+
+      default:
+        throw new Error("Unrecognized genfrac command");
+    }
+
+    switch (funcName) {
+      case "\\cfrac":
+      case "\\dfrac":
+      case "\\dbinom":
+        size = "display";
+        break;
+
+      case "\\tfrac":
+      case "\\tbinom":
+        size = "text";
+        break;
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      continued: funcName === "\\cfrac",
+      numer,
+      denom,
+      hasBarLine,
+      leftDelim,
+      rightDelim,
+      size,
+      barSize: null
+    };
+  },
+  htmlBuilder: htmlBuilder$6,
+  mathmlBuilder: mathmlBuilder$6
+}); // Infix generalized fractions -- these are not rendered directly, but replaced
+// immediately by one of the variants above.
+
+defineFunction({
+  type: "infix",
+  names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"],
+  props: {
+    numArgs: 0,
+    infix: true
+  },
+
+  handler(_ref2) {
+    let parser = _ref2.parser,
+        funcName = _ref2.funcName,
+        token = _ref2.token;
+    let replaceWith;
+
+    switch (funcName) {
+      case "\\over":
+        replaceWith = "\\frac";
+        break;
+
+      case "\\choose":
+        replaceWith = "\\binom";
+        break;
+
+      case "\\atop":
+        replaceWith = "\\\\atopfrac";
+        break;
+
+      case "\\brace":
+        replaceWith = "\\\\bracefrac";
+        break;
+
+      case "\\brack":
+        replaceWith = "\\\\brackfrac";
+        break;
+
+      default:
+        throw new Error("Unrecognized infix genfrac command");
+    }
+
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith,
+      token
+    };
+  }
+
+});
+const stylArray = ["display", "text", "script", "scriptscript"];
+
+const delimFromValue = function delimFromValue(delimString) {
+  let delim = null;
+
+  if (delimString.length > 0) {
+    delim = delimString;
+    delim = delim === "." ? null : delim;
+  }
+
+  return delim;
+};
+
+defineFunction({
+  type: "genfrac",
+  names: ["\\genfrac"],
+  props: {
+    numArgs: 6,
+    greediness: 6,
+    argTypes: ["math", "math", "size", "text", "math", "math"]
+  },
+
+  handler(_ref3, args) {
+    let parser = _ref3.parser;
+    const numer = args[4];
+    const denom = args[5]; // Look into the parse nodes to get the desired delimiters.
+
+    const leftDelim = args[0].type === "atom" && args[0].family === "open" ? delimFromValue(args[0].text) : null;
+    const rightDelim = args[1].type === "atom" && args[1].family === "close" ? delimFromValue(args[1].text) : null;
+    const barNode = assertNodeType(args[2], "size");
+    let hasBarLine;
+    let barSize = null;
+
+    if (barNode.isBlank) {
+      // \genfrac acts differently than \above.
+      // \genfrac treats an empty size group as a signal to use a
+      // standard bar size. \above would see size = 0 and omit the bar.
+      hasBarLine = true;
+    } else {
+      barSize = barNode.value;
+      hasBarLine = barSize.number > 0;
+    } // Find out if we want displaystyle, textstyle, etc.
+
+
+    let size = "auto";
+    let styl = args[3];
+
+    if (styl.type === "ordgroup") {
+      if (styl.body.length > 0) {
+        const textOrd = assertNodeType(styl.body[0], "textord");
+        size = stylArray[Number(textOrd.text)];
+      }
+    } else {
+      styl = assertNodeType(styl, "textord");
+      size = stylArray[Number(styl.text)];
+    }
+
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer,
+      denom,
+      continued: false,
+      hasBarLine,
+      barSize,
+      leftDelim,
+      rightDelim,
+      size
+    };
+  },
+
+  htmlBuilder: htmlBuilder$6,
+  mathmlBuilder: mathmlBuilder$6
+}); // \above is an infix fraction that also defines a fraction bar size.
+
+defineFunction({
+  type: "infix",
+  names: ["\\above"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    infix: true
+  },
+
+  handler(_ref4, args) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName,
+        token = _ref4.token;
+    return {
+      type: "infix",
+      mode: parser.mode,
+      replaceWith: "\\\\abovefrac",
+      size: assertNodeType(args[0], "size").value,
+      token
+    };
+  }
+
+});
+defineFunction({
+  type: "genfrac",
+  names: ["\\\\abovefrac"],
+  props: {
+    numArgs: 3,
+    argTypes: ["math", "size", "math"]
+  },
+  handler: (_ref5, args) => {
+    let parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    const numer = args[0];
+    const barSize = assert(assertNodeType(args[1], "infix").size);
+    const denom = args[2];
+    const hasBarLine = barSize.number > 0;
+    return {
+      type: "genfrac",
+      mode: parser.mode,
+      numer,
+      denom,
+      continued: false,
+      hasBarLine,
+      barSize,
+      leftDelim: null,
+      rightDelim: null,
+      size: "auto"
+    };
+  },
+  htmlBuilder: htmlBuilder$6,
+  mathmlBuilder: mathmlBuilder$6
+});
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but
+const htmlBuilder$7 = (grp, options) => {
+  const style = options.style; // Pull out the `ParseNode<"horizBrace">` if `grp` is a "supsub" node.
+
+  let supSubGroup;
+  let group;
+
+  if (grp.type === "supsub") {
+    // Ref: LaTeX source2e: }}}}\limits}
+    // i.e. LaTeX treats the brace similar to an op and passes it
+    // with \limits, so we need to assign supsub style.
+    supSubGroup = grp.sup ? buildGroup(grp.sup, options.havingStyle(style.sup()), options) : buildGroup(grp.sub, options.havingStyle(style.sub()), options);
+    group = assertNodeType(grp.base, "horizBrace");
+  } else {
+    group = assertNodeType(grp, "horizBrace");
+  } // Build the base group
+
+
+  const body = buildGroup(group.base, options.havingBaseStyle(Style$1.DISPLAY)); // Create the stretchy element
+
+  const braceBody = stretchy.svgSpan(group, options); // Generate the vlist, with the appropriate kerns        ┏━━━━━━━━┓
+  // This first vlist contains the content and the brace:   equation
+
+  let vlist;
+
+  if (group.isOver) {
+    vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: body
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: braceBody
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[1].classes.push("svg-align");
+  } else {
+    vlist = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: body.depth + 0.1 + braceBody.height,
+      children: [{
+        type: "elem",
+        elem: braceBody
+      }, {
+        type: "kern",
+        size: 0.1
+      }, {
+        type: "elem",
+        elem: body
+      }]
+    }, options); // $FlowFixMe: Replace this with passing "svg-align" into makeVList.
+
+    vlist.children[0].children[0].children[0].classes.push("svg-align");
+  }
+
+  if (supSubGroup) {
+    // To write the supsub, wrap the first vlist in another vlist:
+    // They can't all go in the same vlist, because the note might be
+    // wider than the equation. We want the equation to control the
+    // brace width.
+    //      note          long note           long note
+    //   ┏━━━━━━━━┓   or    ┏━━━┓     not    ┏━━━━━━━━━┓
+    //    equation           eqn                 eqn
+    const vSpan = buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+
+    if (group.isOver) {
+      vlist = buildCommon.makeVList({
+        positionType: "firstBaseline",
+        children: [{
+          type: "elem",
+          elem: vSpan
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: supSubGroup
+        }]
+      }, options);
+    } else {
+      vlist = buildCommon.makeVList({
+        positionType: "bottom",
+        positionData: vSpan.depth + 0.2 + supSubGroup.height + supSubGroup.depth,
+        children: [{
+          type: "elem",
+          elem: supSubGroup
+        }, {
+          type: "kern",
+          size: 0.2
+        }, {
+          type: "elem",
+          elem: vSpan
+        }]
+      }, options);
+    }
+  }
+
+  return buildCommon.makeSpan(["mord", group.isOver ? "mover" : "munder"], [vlist], options);
+};
+
+const mathmlBuilder$7 = (group, options) => {
+  const accentNode = stretchy.mathMLnode(group.label);
+  return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildGroup$1(group.base, options), accentNode]);
+}; // Horizontal stretchy braces
+
+
+defineFunction({
+  type: "horizBrace",
+  names: ["\\overbrace", "\\underbrace"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    return {
+      type: "horizBrace",
+      mode: parser.mode,
+      label: funcName,
+      isOver: /^\\over/.test(funcName),
+      base: args[0]
+    };
+  },
+
+  htmlBuilder: htmlBuilder$7,
+  mathmlBuilder: mathmlBuilder$7
+});
+
+defineFunction({
+  type: "href",
+  names: ["\\href"],
+  props: {
+    numArgs: 2,
+    argTypes: ["url", "original"],
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    const body = args[1];
+    const href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\href",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\href");
+    }
+
+    return {
+      type: "href",
+      mode: parser.mode,
+      href,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.body, options, false);
+    return buildCommon.makeAnchor(group.href, [], elements, options);
+  },
+  mathmlBuilder: (group, options) => {
+    let math = buildExpressionRow(group.body, options);
+
+    if (!(math instanceof MathNode)) {
+      math = new MathNode("mrow", [math]);
+    }
+
+    math.setAttribute("href", group.href);
+    return math;
+  }
+});
+defineFunction({
+  type: "href",
+  names: ["\\url"],
+  props: {
+    numArgs: 1,
+    argTypes: ["url"],
+    allowedInText: true
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const href = assertNodeType(args[0], "url").url;
+
+    if (!parser.settings.isTrusted({
+      command: "\\url",
+      url: href
+    })) {
+      return parser.formatUnsupportedCmd("\\url");
+    }
+
+    const chars = [];
+
+    for (let i = 0; i < href.length; i++) {
+      let c = href[i];
+
+      if (c === "~") {
+        c = "\\textasciitilde";
+      }
+
+      chars.push({
+        type: "textord",
+        mode: "text",
+        text: c
+      });
+    }
+
+    const body = {
+      type: "text",
+      mode: parser.mode,
+      font: "\\texttt",
+      body: chars
+    };
+    return {
+      type: "href",
+      mode: parser.mode,
+      href,
+      body: ordargument(body)
+    };
+  }
+});
+
+defineFunction({
+  type: "html",
+  names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"],
+  props: {
+    numArgs: 2,
+    argTypes: ["raw", "original"],
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName,
+        token = _ref.token;
+    const value = assertNodeType(args[0], "raw").string;
+    const body = args[1];
+
+    if (parser.settings.strict) {
+      parser.settings.reportNonstrict("htmlExtension", "HTML extension is disabled on strict mode");
+    }
+
+    let trustContext;
+    const attributes = {};
+
+    switch (funcName) {
+      case "\\htmlClass":
+        attributes.class = value;
+        trustContext = {
+          command: "\\htmlClass",
+          class: value
+        };
+        break;
+
+      case "\\htmlId":
+        attributes.id = value;
+        trustContext = {
+          command: "\\htmlId",
+          id: value
+        };
+        break;
+
+      case "\\htmlStyle":
+        attributes.style = value;
+        trustContext = {
+          command: "\\htmlStyle",
+          style: value
+        };
+        break;
+
+      case "\\htmlData":
+        {
+          const data = value.split(",");
+
+          for (let i = 0; i < data.length; i++) {
+            const keyVal = data[i].split("=");
+
+            if (keyVal.length !== 2) {
+              throw new ParseError("Error parsing key-value for \\htmlData");
+            }
+
+            attributes["data-" + keyVal[0].trim()] = keyVal[1].trim();
+          }
+
+          trustContext = {
+            command: "\\htmlData",
+            attributes
+          };
+          break;
+        }
+
+      default:
+        throw new Error("Unrecognized html command");
+    }
+
+    if (!parser.settings.isTrusted(trustContext)) {
+      return parser.formatUnsupportedCmd(funcName);
+    }
+
+    return {
+      type: "html",
+      mode: parser.mode,
+      attributes,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.body, options, false);
+    const classes = ["enclosing"];
+
+    if (group.attributes.class) {
+      classes.push(...group.attributes.class.trim().split(/\s+/));
+    }
+
+    const span = buildCommon.makeSpan(classes, elements, options);
+
+    for (const attr in group.attributes) {
+      if (attr !== "class" && group.attributes.hasOwnProperty(attr)) {
+        span.setAttribute(attr, group.attributes[attr]);
+      }
+    }
+
+    return span;
+  },
+  mathmlBuilder: (group, options) => {
+    return buildExpressionRow(group.body, options);
+  }
+});
+
+defineFunction({
+  type: "htmlmathml",
+  names: ["\\html@mathml"],
+  props: {
+    numArgs: 2,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    return {
+      type: "htmlmathml",
+      mode: parser.mode,
+      html: ordargument(args[0]),
+      mathml: ordargument(args[1])
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.html, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: (group, options) => {
+    return buildExpressionRow(group.mathml, options);
+  }
+});
+
+const sizeData = function sizeData(str) {
+  if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(str)) {
+    // str is a number with no unit specified.
+    // default unit is bp, per graphix package.
+    return {
+      number: +str,
+      unit: "bp"
+    };
+  } else {
+    const match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(str);
+
+    if (!match) {
+      throw new ParseError("Invalid size: '" + str + "' in \\includegraphics");
+    }
+
+    const data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new ParseError("Invalid unit: '" + data.unit + "' in \\includegraphics.");
+    }
+
+    return data;
+  }
+};
+
+defineFunction({
+  type: "includegraphics",
+  names: ["\\includegraphics"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    argTypes: ["raw", "url"],
+    allowedInText: false
+  },
+  handler: (_ref, args, optArgs) => {
+    let parser = _ref.parser;
+    let width = {
+      number: 0,
+      unit: "em"
+    };
+    let height = {
+      number: 0.9,
+      unit: "em"
+    }; // sorta character sized.
+
+    let totalheight = {
+      number: 0,
+      unit: "em"
+    };
+    let alt = "";
+
+    if (optArgs[0]) {
+      const attributeStr = assertNodeType(optArgs[0], "raw").string; // Parser.js does not parse key/value pairs. We get a string.
+
+      const attributes = attributeStr.split(",");
+
+      for (let i = 0; i < attributes.length; i++) {
+        const keyVal = attributes[i].split("=");
+
+        if (keyVal.length === 2) {
+          const str = keyVal[1].trim();
+
+          switch (keyVal[0].trim()) {
+            case "alt":
+              alt = str;
+              break;
+
+            case "width":
+              width = sizeData(str);
+              break;
+
+            case "height":
+              height = sizeData(str);
+              break;
+
+            case "totalheight":
+              totalheight = sizeData(str);
+              break;
+
+            default:
+              throw new ParseError("Invalid key: '" + keyVal[0] + "' in \\includegraphics.");
+          }
+        }
+      }
+    }
+
+    const src = assertNodeType(args[0], "url").url;
+
+    if (alt === "") {
+      // No alt given. Use the file name. Strip away the path.
+      alt = src;
+      alt = alt.replace(/^.*[\\/]/, '');
+      alt = alt.substring(0, alt.lastIndexOf('.'));
+    }
+
+    if (!parser.settings.isTrusted({
+      command: "\\includegraphics",
+      url: src
+    })) {
+      return parser.formatUnsupportedCmd("\\includegraphics");
+    }
+
+    return {
+      type: "includegraphics",
+      mode: parser.mode,
+      alt: alt,
+      width: width,
+      height: height,
+      totalheight: totalheight,
+      src: src
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const height = calculateSize(group.height, options);
+    let depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = calculateSize(group.totalheight, options) - height;
+      depth = Number(depth.toFixed(2));
+    }
+
+    let width = 0;
+
+    if (group.width.number > 0) {
+      width = calculateSize(group.width, options);
+    }
+
+    const style = {
+      height: height + depth + "em"
+    };
+
+    if (width > 0) {
+      style.width = width + "em";
+    }
+
+    if (depth > 0) {
+      style.verticalAlign = -depth + "em";
+    }
+
+    const node = new Img(group.src, group.alt, style);
+    node.height = height;
+    node.depth = depth;
+    return node;
+  },
+  mathmlBuilder: (group, options) => {
+    const node = new mathMLTree.MathNode("mglyph", []);
+    node.setAttribute("alt", group.alt);
+    const height = calculateSize(group.height, options);
+    let depth = 0;
+
+    if (group.totalheight.number > 0) {
+      depth = calculateSize(group.totalheight, options) - height;
+      depth = depth.toFixed(2);
+      node.setAttribute("valign", "-" + depth + "em");
+    }
+
+    node.setAttribute("height", height + depth + "em");
+
+    if (group.width.number > 0) {
+      const width = calculateSize(group.width, options);
+      node.setAttribute("width", width + "em");
+    }
+
+    node.setAttribute("src", group.src);
+    return node;
+  }
+});
+
+// Horizontal spacing commands
+
+defineFunction({
+  type: "kern",
+  names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
+  props: {
+    numArgs: 1,
+    argTypes: ["size"],
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const size = assertNodeType(args[0], "size");
+
+    if (parser.settings.strict) {
+      const mathFunction = funcName[1] === 'm'; // \mkern, \mskip
+
+      const muUnit = size.value.unit === 'mu';
+
+      if (mathFunction) {
+        if (!muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", `LaTeX's ${funcName} supports only mu units, ` + `not ${size.value.unit} units`);
+        }
+
+        if (parser.mode !== "math") {
+          parser.settings.reportNonstrict("mathVsTextUnits", `LaTeX's ${funcName} works only in math mode`);
+        }
+      } else {
+        // !mathFunction
+        if (muUnit) {
+          parser.settings.reportNonstrict("mathVsTextUnits", `LaTeX's ${funcName} doesn't support mu units`);
+        }
+      }
+    }
+
+    return {
+      type: "kern",
+      mode: parser.mode,
+      dimension: size.value
+    };
+  },
+
+  htmlBuilder(group, options) {
+    return buildCommon.makeGlue(group.dimension, options);
+  },
+
+  mathmlBuilder(group, options) {
+    const dimension = calculateSize(group.dimension, options);
+    return new mathMLTree.SpaceNode(dimension);
+  }
+
+});
+
+// Horizontal overlap functions
+defineFunction({
+  type: "lap",
+  names: ["\\mathllap", "\\mathrlap", "\\mathclap"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "lap",
+      mode: parser.mode,
+      alignment: funcName.slice(5),
+      body
+    };
+  },
+  htmlBuilder: (group, options) => {
+    // mathllap, mathrlap, mathclap
+    let inner;
+
+    if (group.alignment === "clap") {
+      // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/
+      inner = buildCommon.makeSpan([], [buildGroup(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span
+
+      inner = buildCommon.makeSpan(["inner"], [inner], options);
+    } else {
+      inner = buildCommon.makeSpan(["inner"], [buildGroup(group.body, options)]);
+    }
+
+    const fix = buildCommon.makeSpan(["fix"], []);
+    let node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the
+    // two items involved in the lap.
+    // Next, use a strut to set the height of the HTML bounding box.
+    // Otherwise, a tall argument may be misplaced.
+    // This code resolved issue #1153
+
+    const strut = buildCommon.makeSpan(["strut"]);
+    strut.style.height = node.height + node.depth + "em";
+    strut.style.verticalAlign = -node.depth + "em";
+    node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall.
+    // This code resolves issue #1234
+
+    node = buildCommon.makeSpan(["thinbox"], [node], options);
+    return buildCommon.makeSpan(["mord", "vbox"], [node], options);
+  },
+  mathmlBuilder: (group, options) => {
+    // mathllap, mathrlap, mathclap
+    const node = new mathMLTree.MathNode("mpadded", [buildGroup$1(group.body, options)]);
+
+    if (group.alignment !== "rlap") {
+      const offset = group.alignment === "llap" ? "-1" : "-0.5";
+      node.setAttribute("lspace", offset + "width");
+    }
+
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+
+defineFunction({
+  type: "styling",
+  names: ["\\(", "$"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+
+  handler(_ref, args) {
+    let funcName = _ref.funcName,
+        parser = _ref.parser;
+    const outerMode = parser.mode;
+    parser.switchMode("math");
+    const close = funcName === "\\(" ? "\\)" : "$";
+    const body = parser.parseExpression(false, close);
+    parser.expect(close);
+    parser.switchMode(outerMode);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      style: "text",
+      body
+    };
+  }
+
+}); // Check for extra closing math delimiters
+
+defineFunction({
+  type: "text",
+  // Doesn't matter what this is.
+  names: ["\\)", "\\]"],
+  props: {
+    numArgs: 0,
+    allowedInText: true,
+    allowedInMath: false
+  },
+
+  handler(context, args) {
+    throw new ParseError(`Mismatched ${context.funcName}`);
+  }
+
+});
+
+const chooseMathStyle = (group, options) => {
+  switch (options.style.size) {
+    case Style$1.DISPLAY.size:
+      return group.display;
+
+    case Style$1.TEXT.size:
+      return group.text;
+
+    case Style$1.SCRIPT.size:
+      return group.script;
+
+    case Style$1.SCRIPTSCRIPT.size:
+      return group.scriptscript;
+
+    default:
+      return group.text;
+  }
+};
+
+defineFunction({
+  type: "mathchoice",
+  names: ["\\mathchoice"],
+  props: {
+    numArgs: 4
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    return {
+      type: "mathchoice",
+      mode: parser.mode,
+      display: ordargument(args[0]),
+      text: ordargument(args[1]),
+      script: ordargument(args[2]),
+      scriptscript: ordargument(args[3])
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const body = chooseMathStyle(group, options);
+    const elements = buildExpression(body, options, false);
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: (group, options) => {
+    const body = chooseMathStyle(group, options);
+    return buildExpressionRow(body, options);
+  }
+});
+
+// For an operator with limits, assemble the base, sup, and sub into a span.
+const assembleSupSub = (base, supGroup, subGroup, options, style, slant, baseShift) => {
+  base = buildCommon.makeSpan([], [base]);
+  let sub;
+  let sup; // We manually have to handle the superscripts and subscripts. This,
+  // aside from the kern calculations, is copied from supsub.
+
+  if (supGroup) {
+    const elem = buildGroup(supGroup, options.havingStyle(style.sup()), options);
+    sup = {
+      elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth)
+    };
+  }
+
+  if (subGroup) {
+    const elem = buildGroup(subGroup, options.havingStyle(style.sub()), options);
+    sub = {
+      elem,
+      kern: Math.max(options.fontMetrics().bigOpSpacing2, options.fontMetrics().bigOpSpacing4 - elem.height)
+    };
+  } // Build the final group as a vlist of the possible subscript, base,
+  // and possible superscript.
+
+
+  let finalGroup;
+
+  if (sup && sub) {
+    const bottom = options.fontMetrics().bigOpSpacing5 + sub.elem.height + sub.elem.depth + sub.kern + base.depth + baseShift;
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: bottom,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else if (sub) {
+    const top = base.height - baseShift; // Shift the limits by the slant of the symbol. Note
+    // that we are supposed to shift the limits by 1/2 of the slant,
+    // but since we are centering the limits adding a full slant of
+    // margin will shift by 1/2 that.
+
+    finalGroup = buildCommon.makeVList({
+      positionType: "top",
+      positionData: top,
+      children: [{
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }, {
+        type: "elem",
+        elem: sub.elem,
+        marginLeft: -slant + "em"
+      }, {
+        type: "kern",
+        size: sub.kern
+      }, {
+        type: "elem",
+        elem: base
+      }]
+    }, options);
+  } else if (sup) {
+    const bottom = base.depth + baseShift;
+    finalGroup = buildCommon.makeVList({
+      positionType: "bottom",
+      positionData: bottom,
+      children: [{
+        type: "elem",
+        elem: base
+      }, {
+        type: "kern",
+        size: sup.kern
+      }, {
+        type: "elem",
+        elem: sup.elem,
+        marginLeft: slant + "em"
+      }, {
+        type: "kern",
+        size: options.fontMetrics().bigOpSpacing5
+      }]
+    }, options);
+  } else {
+    // This case probably shouldn't occur (this would mean the
+    // supsub was sending us a group with no superscript or
+    // subscript) but be safe.
+    return base;
+  }
+
+  return buildCommon.makeSpan(["mop", "op-limits"], [finalGroup], options);
+};
+
+// Limits, symbols
+// Most operators have a large successor symbol, but these don't.
+const noSuccessor = ["\\smallint"]; // NOTE: Unlike most `htmlBuilder`s, this one handles not only "op", but also
+// "supsub" since some of them (like \int) can affect super/subscripting.
+
+const htmlBuilder$8 = (grp, options) => {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  let supGroup;
+  let subGroup;
+  let hasLimits = false;
+  let group;
+
+  if (grp.type === "supsub") {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = grp.sup;
+    subGroup = grp.sub;
+    group = assertNodeType(grp.base, "op");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "op");
+  }
+
+  const style = options.style;
+  let large = false;
+
+  if (style.size === Style$1.DISPLAY.size && group.symbol && !utils.contains(noSuccessor, group.name)) {
+    // Most symbol operators get larger in displaystyle (rule 13)
+    large = true;
+  }
+
+  let base;
+
+  if (group.symbol) {
+    // If this is a symbol, create the symbol.
+    const fontName = large ? "Size2-Regular" : "Size1-Regular";
+    let stash = "";
+
+    if (group.name === "\\oiint" || group.name === "\\oiiint") {
+      // No font glyphs yet, so use a glyph w/o the oval.
+      // TODO: When font glyphs are available, delete this code.
+      stash = group.name.substr(1); // $FlowFixMe
+
+      group.name = stash === "oiint" ? "\\iint" : "\\iiint";
+    }
+
+    base = buildCommon.makeSymbol(group.name, fontName, "math", options, ["mop", "op-symbol", large ? "large-op" : "small-op"]);
+
+    if (stash.length > 0) {
+      // We're in \oiint or \oiiint. Overlay the oval.
+      // TODO: When font glyphs are available, delete this code.
+      const italic = base.italic;
+      const oval = buildCommon.staticSvg(stash + "Size" + (large ? "2" : "1"), options);
+      base = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: [{
+          type: "elem",
+          elem: base,
+          shift: 0
+        }, {
+          type: "elem",
+          elem: oval,
+          shift: large ? 0.08 : 0
+        }]
+      }, options); // $FlowFixMe
+
+      group.name = "\\" + stash;
+      base.classes.unshift("mop"); // $FlowFixMe
+
+      base.italic = italic;
+    }
+  } else if (group.body) {
+    // If this is a list, compose that list.
+    const inner = buildExpression(group.body, options, true);
+
+    if (inner.length === 1 && inner[0] instanceof SymbolNode) {
+      base = inner[0];
+      base.classes[0] = "mop"; // replace old mclass
+    } else {
+      base = buildCommon.makeSpan(["mop"], buildCommon.tryCombineChars(inner), options);
+    }
+  } else {
+    // Otherwise, this is a text operator. Build the text from the
+    // operator's name.
+    // TODO(emily): Add a space in the middle of some of these
+    // operators, like \limsup
+    const output = [];
+
+    for (let i = 1; i < group.name.length; i++) {
+      output.push(buildCommon.mathsym(group.name[i], group.mode, options));
+    }
+
+    base = buildCommon.makeSpan(["mop"], output, options);
+  } // If content of op is a single symbol, shift it vertically.
+
+
+  let baseShift = 0;
+  let slant = 0;
+
+  if ((base instanceof SymbolNode || group.name === "\\oiint" || group.name === "\\oiiint") && !group.suppressBaseShift) {
+    // We suppress the shift of the base of \overset and \underset. Otherwise,
+    // shift the symbol so its center lies on the axis (rule 13). It
+    // appears that our fonts have the centers of the symbols already
+    // almost on the axis, so these numbers are very small. Note we
+    // don't actually apply this here, but instead it is used either in
+    // the vlist creation or separately when there are no limits.
+    baseShift = (base.height - base.depth) / 2 - options.fontMetrics().axisHeight; // The slant of the symbol is just its italic correction.
+    // $FlowFixMe
+
+    slant = base.italic;
+  }
+
+  if (hasLimits) {
+    return assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift);
+  } else {
+    if (baseShift) {
+      base.style.position = "relative";
+      base.style.top = baseShift + "em";
+    }
+
+    return base;
+  }
+};
+
+const mathmlBuilder$8 = (group, options) => {
+  let node;
+
+  if (group.symbol) {
+    // This is a symbol. Just add the symbol.
+    node = new MathNode("mo", [makeText(group.name, group.mode)]);
+
+    if (utils.contains(noSuccessor, group.name)) {
+      node.setAttribute("largeop", "false");
+    }
+  } else if (group.body) {
+    // This is an operator with children. Add them.
+    node = new MathNode("mo", buildExpression$1(group.body, options));
+  } else {
+    // This is a text operator. Add all of the characters from the
+    // operator's name.
+    node = new MathNode("mi", [new TextNode(group.name.slice(1))]); // Append an <mo>&ApplyFunction;</mo>.
+    // ref: https://www.w3.org/TR/REC-MathML/chap3_2.html#sec3.2.4
+
+    const operator = new MathNode("mo", [makeText("\u2061", "text")]);
+
+    if (group.parentIsSupSub) {
+      node = new MathNode("mo", [node, operator]);
+    } else {
+      node = newDocumentFragment([node, operator]);
+    }
+  }
+
+  return node;
+};
+
+const singleCharBigOps = {
+  "\u220F": "\\prod",
+  "\u2210": "\\coprod",
+  "\u2211": "\\sum",
+  "\u22c0": "\\bigwedge",
+  "\u22c1": "\\bigvee",
+  "\u22c2": "\\bigcap",
+  "\u22c3": "\\bigcup",
+  "\u2a00": "\\bigodot",
+  "\u2a01": "\\bigoplus",
+  "\u2a02": "\\bigotimes",
+  "\u2a04": "\\biguplus",
+  "\u2a06": "\\bigsqcup"
+};
+defineFunction({
+  type: "op",
+  names: ["\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", "\u220F", "\u2210", "\u2211", "\u22c0", "\u22c1", "\u22c2", "\u22c3", "\u2a00", "\u2a01", "\u2a02", "\u2a04", "\u2a06"],
+  props: {
+    numArgs: 0
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    let fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharBigOps[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // Note: calling defineFunction with a type that's already been defined only
+// works because the same htmlBuilder and mathmlBuilder are being used.
+
+defineFunction({
+  type: "op",
+  names: ["\\mathop"],
+  props: {
+    numArgs: 1
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const body = args[0];
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // There are 2 flags for operators; whether they produce limits in
+// displaystyle, and whether they are symbols and should grow in
+// displaystyle. These four groups cover the four possible choices.
+
+const singleCharIntegrals = {
+  "\u222b": "\\int",
+  "\u222c": "\\iint",
+  "\u222d": "\\iiint",
+  "\u222e": "\\oint",
+  "\u222f": "\\oiint",
+  "\u2230": "\\oiiint"
+}; // No limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\arcsin", "\\arccos", "\\arctan", "\\arctg", "\\arcctg", "\\arg", "\\ch", "\\cos", "\\cosec", "\\cosh", "\\cot", "\\cotg", "\\coth", "\\csc", "\\ctg", "\\cth", "\\deg", "\\dim", "\\exp", "\\hom", "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", "\\sh", "\\tan", "\\tanh", "\\tg", "\\th"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(_ref3) {
+    let parser = _ref3.parser,
+        funcName = _ref3.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // Limits, not symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(_ref4) {
+    let parser = _ref4.parser,
+        funcName = _ref4.funcName;
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: true,
+      parentIsSupSub: false,
+      symbol: false,
+      name: funcName
+    };
+  },
+
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+}); // No limits, symbols
+
+defineFunction({
+  type: "op",
+  names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222b", "\u222c", "\u222d", "\u222e", "\u222f", "\u2230"],
+  props: {
+    numArgs: 0
+  },
+
+  handler(_ref5) {
+    let parser = _ref5.parser,
+        funcName = _ref5.funcName;
+    let fName = funcName;
+
+    if (fName.length === 1) {
+      fName = singleCharIntegrals[fName];
+    }
+
+    return {
+      type: "op",
+      mode: parser.mode,
+      limits: false,
+      parentIsSupSub: false,
+      symbol: true,
+      name: fName
+    };
+  },
+
+  htmlBuilder: htmlBuilder$8,
+  mathmlBuilder: mathmlBuilder$8
+});
+
+// NOTE: Unlike most `htmlBuilder`s, this one handles not only
+// "operatorname", but also  "supsub" since \operatorname* can
+const htmlBuilder$9 = (grp, options) => {
+  // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+  let supGroup;
+  let subGroup;
+  let hasLimits = false;
+  let group;
+
+  if (grp.type === "supsub") {
+    // If we have limits, supsub will pass us its group to handle. Pull
+    // out the superscript and subscript and set the group to the op in
+    // its base.
+    supGroup = grp.sup;
+    subGroup = grp.sub;
+    group = assertNodeType(grp.base, "operatorname");
+    hasLimits = true;
+  } else {
+    group = assertNodeType(grp, "operatorname");
+  }
+
+  let base;
+
+  if (group.body.length > 0) {
+    const body = group.body.map(child => {
+      // $FlowFixMe: Check if the node has a string `text` property.
+      const childText = child.text;
+
+      if (typeof childText === "string") {
+        return {
+          type: "textord",
+          mode: child.mode,
+          text: childText
+        };
+      } else {
+        return child;
+      }
+    }); // Consolidate function names into symbol characters.
+
+    const expression = buildExpression(body, options.withFont("mathrm"), true);
+
+    for (let i = 0; i < expression.length; i++) {
+      const child = expression[i];
+
+      if (child instanceof SymbolNode) {
+        // Per amsopn package,
+        // change minus to hyphen and \ast to asterisk
+        child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+      }
+    }
+
+    base = buildCommon.makeSpan(["mop"], expression, options);
+  } else {
+    base = buildCommon.makeSpan(["mop"], [], options);
+  }
+
+  if (hasLimits) {
+    return assembleSupSub(base, supGroup, subGroup, options, options.style, 0, 0);
+  } else {
+    return base;
+  }
+};
+
+const mathmlBuilder$9 = (group, options) => {
+  // The steps taken here are similar to the html version.
+  let expression = buildExpression$1(group.body, options.withFont("mathrm")); // Is expression a string or has it something like a fraction?
+
+  let isAllString = true; // default
+
+  for (let i = 0; i < expression.length; i++) {
+    const node = expression[i];
+
+    if (node instanceof mathMLTree.SpaceNode) ; else if (node instanceof mathMLTree.MathNode) {
+      switch (node.type) {
+        case "mi":
+        case "mn":
+        case "ms":
+        case "mspace":
+        case "mtext":
+          break;
+        // Do nothing yet.
+
+        case "mo":
+          {
+            const child = node.children[0];
+
+            if (node.children.length === 1 && child instanceof mathMLTree.TextNode) {
+              child.text = child.text.replace(/\u2212/, "-").replace(/\u2217/, "*");
+            } else {
+              isAllString = false;
+            }
+
+            break;
+          }
+
+        default:
+          isAllString = false;
+      }
+    } else {
+      isAllString = false;
+    }
+  }
+
+  if (isAllString) {
+    // Write a single TextNode instead of multiple nested tags.
+    const word = expression.map(node => node.toText()).join("");
+    expression = [new mathMLTree.TextNode(word)];
+  }
+
+  const identifier = new mathMLTree.MathNode("mi", expression);
+  identifier.setAttribute("mathvariant", "normal"); // \u2061 is the same as &ApplyFunction;
+  // ref: https://www.w3schools.com/charsets/ref_html_entities_a.asp
+
+  const operator = new mathMLTree.MathNode("mo", [makeText("\u2061", "text")]);
+
+  if (group.parentIsSupSub) {
+    return new mathMLTree.MathNode("mo", [identifier, operator]);
+  } else {
+    return mathMLTree.newDocumentFragment([identifier, operator]);
+  }
+}; // \operatorname
+// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@
+
+
+defineFunction({
+  type: "operatorname",
+  names: ["\\operatorname", "\\operatorname*"],
+  props: {
+    numArgs: 1
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "operatorname",
+      mode: parser.mode,
+      body: ordargument(body),
+      alwaysHandleSupSub: funcName === "\\operatorname*",
+      limits: false,
+      parentIsSupSub: false
+    };
+  },
+  htmlBuilder: htmlBuilder$9,
+  mathmlBuilder: mathmlBuilder$9
+});
+
+defineFunctionBuilders({
+  type: "ordgroup",
+
+  htmlBuilder(group, options) {
+    if (group.semisimple) {
+      return buildCommon.makeFragment(buildExpression(group.body, options, false));
+    }
+
+    return buildCommon.makeSpan(["mord"], buildExpression(group.body, options, true), options);
+  },
+
+  mathmlBuilder(group, options) {
+    return buildExpressionRow(group.body, options, true);
+  }
+
+});
+
+defineFunction({
+  type: "overline",
+  names: ["\\overline"],
+  props: {
+    numArgs: 1
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const body = args[0];
+    return {
+      type: "overline",
+      mode: parser.mode,
+      body
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Overlines are handled in the TeXbook pg 443, Rule 9.
+    // Build the inner group in the cramped style.
+    const innerGroup = buildGroup(group.body, options.havingCrampedStyle()); // Create the line above the body
+
+    const line = buildCommon.makeLineSpan("overline-line", options); // Generate the vlist, with the appropriate kerns
+
+    const defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    const vlist = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: innerGroup
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: defaultRuleThickness
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "overline"], [vlist], options);
+  },
+
+  mathmlBuilder(group, options) {
+    const operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]);
+    operator.setAttribute("stretchy", "true");
+    const node = new mathMLTree.MathNode("mover", [buildGroup$1(group.body, options), operator]);
+    node.setAttribute("accent", "true");
+    return node;
+  }
+
+});
+
+defineFunction({
+  type: "phantom",
+  names: ["\\phantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let parser = _ref.parser;
+    const body = args[0];
+    return {
+      type: "phantom",
+      mode: parser.mode,
+      body: ordargument(body)
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const elements = buildExpression(group.body, options.withPhantom(), false); // \phantom isn't supposed to affect the elements it contains.
+    // See "color" for more details.
+
+    return buildCommon.makeFragment(elements);
+  },
+  mathmlBuilder: (group, options) => {
+    const inner = buildExpression$1(group.body, options);
+    return new mathMLTree.MathNode("mphantom", inner);
+  }
+});
+defineFunction({
+  type: "hphantom",
+  names: ["\\hphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref2, args) => {
+    let parser = _ref2.parser;
+    const body = args[0];
+    return {
+      type: "hphantom",
+      mode: parser.mode,
+      body
+    };
+  },
+  htmlBuilder: (group, options) => {
+    let node = buildCommon.makeSpan([], [buildGroup(group.body, options.withPhantom())]);
+    node.height = 0;
+    node.depth = 0;
+
+    if (node.children) {
+      for (let i = 0; i < node.children.length; i++) {
+        node.children[i].height = 0;
+        node.children[i].depth = 0;
+      }
+    } // See smash for comment re: use of makeVList
+
+
+    node = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \smash as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [node], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const inner = buildExpression$1(ordargument(group.body), options);
+    const phantom = new mathMLTree.MathNode("mphantom", inner);
+    const node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("height", "0px");
+    node.setAttribute("depth", "0px");
+    return node;
+  }
+});
+defineFunction({
+  type: "vphantom",
+  names: ["\\vphantom"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref3, args) => {
+    let parser = _ref3.parser;
+    const body = args[0];
+    return {
+      type: "vphantom",
+      mode: parser.mode,
+      body
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const inner = buildCommon.makeSpan(["inner"], [buildGroup(group.body, options.withPhantom())]);
+    const fix = buildCommon.makeSpan(["fix"], []);
+    return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const inner = buildExpression$1(ordargument(group.body), options);
+    const phantom = new mathMLTree.MathNode("mphantom", inner);
+    const node = new mathMLTree.MathNode("mpadded", [phantom]);
+    node.setAttribute("width", "0px");
+    return node;
+  }
+});
+
+defineFunction({
+  type: "raisebox",
+  names: ["\\raisebox"],
+  props: {
+    numArgs: 2,
+    argTypes: ["size", "hbox"],
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    const amount = assertNodeType(args[0], "size").value;
+    const body = args[1];
+    return {
+      type: "raisebox",
+      mode: parser.mode,
+      dy: amount,
+      body
+    };
+  },
+
+  htmlBuilder(group, options) {
+    const body = buildGroup(group.body, options);
+    const dy = calculateSize(group.dy, options);
+    return buildCommon.makeVList({
+      positionType: "shift",
+      positionData: -dy,
+      children: [{
+        type: "elem",
+        elem: body
+      }]
+    }, options);
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mpadded", [buildGroup$1(group.body, options)]);
+    const dy = group.dy.number + group.dy.unit;
+    node.setAttribute("voffset", dy);
+    return node;
+  }
+
+});
+
+defineFunction({
+  type: "rule",
+  names: ["\\rule"],
+  props: {
+    numArgs: 2,
+    numOptionalArgs: 1,
+    argTypes: ["size", "size", "size"]
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser;
+    const shift = optArgs[0];
+    const width = assertNodeType(args[0], "size");
+    const height = assertNodeType(args[1], "size");
+    return {
+      type: "rule",
+      mode: parser.mode,
+      shift: shift && assertNodeType(shift, "size").value,
+      width: width.value,
+      height: height.value
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Make an empty span for the rule
+    const rule = buildCommon.makeSpan(["mord", "rule"], [], options); // Calculate the shift, width, and height of the rule, and account for units
+
+    const width = calculateSize(group.width, options);
+    const height = calculateSize(group.height, options);
+    const shift = group.shift ? calculateSize(group.shift, options) : 0; // Style the rule to the right size
+
+    rule.style.borderRightWidth = width + "em";
+    rule.style.borderTopWidth = height + "em";
+    rule.style.bottom = shift + "em"; // Record the height and width
+
+    rule.width = width;
+    rule.height = height + shift;
+    rule.depth = -shift; // Font size is the number large enough that the browser will
+    // reserve at least `absHeight` space above the baseline.
+    // The 1.125 factor was empirically determined
+
+    rule.maxFontSize = height * 1.125 * options.sizeMultiplier;
+    return rule;
+  },
+
+  mathmlBuilder(group, options) {
+    const width = calculateSize(group.width, options);
+    const height = calculateSize(group.height, options);
+    const shift = group.shift ? calculateSize(group.shift, options) : 0;
+    const color = options.color && options.getColor() || "black";
+    const rule = new mathMLTree.MathNode("mspace");
+    rule.setAttribute("mathbackground", color);
+    rule.setAttribute("width", width + "em");
+    rule.setAttribute("height", height + "em");
+    const wrapper = new mathMLTree.MathNode("mpadded", [rule]);
+
+    if (shift >= 0) {
+      wrapper.setAttribute("height", "+" + shift + "em");
+    } else {
+      wrapper.setAttribute("height", shift + "em");
+      wrapper.setAttribute("depth", "+" + -shift + "em");
+    }
+
+    wrapper.setAttribute("voffset", shift + "em");
+    return wrapper;
+  }
+
+});
+
+function sizingGroup(value, options, baseOptions) {
+  const inner = buildExpression(value, options, false);
+  const multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier; // Add size-resetting classes to the inner list and set maxFontSize
+  // manually. Handle nested size changes.
+
+  for (let i = 0; i < inner.length; i++) {
+    const pos = inner[i].classes.indexOf("sizing");
+
+    if (pos < 0) {
+      Array.prototype.push.apply(inner[i].classes, options.sizingClasses(baseOptions));
+    } else if (inner[i].classes[pos + 1] === "reset-size" + options.size) {
+      // This is a nested size change: e.g., inner[i] is the "b" in
+      // `\Huge a \small b`. Override the old size (the `reset-` class)
+      // but not the new size.
+      inner[i].classes[pos + 1] = "reset-size" + baseOptions.size;
+    }
+
+    inner[i].height *= multiplier;
+    inner[i].depth *= multiplier;
+  }
+
+  return buildCommon.makeFragment(inner);
+}
+const sizeFuncs = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"];
+const htmlBuilder$a = (group, options) => {
+  // Handle sizing operators like \Huge. Real TeX doesn't actually allow
+  // these functions inside of math expressions, so we do some special
+  // handling.
+  const newOptions = options.havingSize(group.size);
+  return sizingGroup(group.body, newOptions, options);
+};
+defineFunction({
+  type: "sizing",
+  names: sizeFuncs,
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+  handler: (_ref, args) => {
+    let breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    const body = parser.parseExpression(false, breakOnTokenText);
+    return {
+      type: "sizing",
+      mode: parser.mode,
+      // Figure out what size to use based on the list of functions above
+      size: sizeFuncs.indexOf(funcName) + 1,
+      body
+    };
+  },
+  htmlBuilder: htmlBuilder$a,
+  mathmlBuilder: (group, options) => {
+    const newOptions = options.havingSize(group.size);
+    const inner = buildExpression$1(group.body, newOptions);
+    const node = new mathMLTree.MathNode("mstyle", inner); // TODO(emily): This doesn't produce the correct size for nested size
+    // changes, because we don't keep state of what style we're currently
+    // in, so we can't reset the size to normal before changing it.  Now
+    // that we're passing an options parameter we should be able to fix
+    // this.
+
+    node.setAttribute("mathsize", newOptions.sizeMultiplier + "em");
+    return node;
+  }
+});
+
+// smash, with optional [tb], as in AMS
+defineFunction({
+  type: "smash",
+  names: ["\\smash"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1,
+    allowedInText: true
+  },
+  handler: (_ref, args, optArgs) => {
+    let parser = _ref.parser;
+    let smashHeight = false;
+    let smashDepth = false;
+    const tbArg = optArgs[0] && assertNodeType(optArgs[0], "ordgroup");
+
+    if (tbArg) {
+      // Optional [tb] argument is engaged.
+      // ref: amsmath: \renewcommand{\smash}[1][tb]{%
+      //               def\mb@t{\ht}\def\mb@b{\dp}\def\mb@tb{\ht\z@\z@\dp}%
+      let letter = "";
+
+      for (let i = 0; i < tbArg.body.length; ++i) {
+        const node = tbArg.body[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+        letter = node.text;
+
+        if (letter === "t") {
+          smashHeight = true;
+        } else if (letter === "b") {
+          smashDepth = true;
+        } else {
+          smashHeight = false;
+          smashDepth = false;
+          break;
+        }
+      }
+    } else {
+      smashHeight = true;
+      smashDepth = true;
+    }
+
+    const body = args[0];
+    return {
+      type: "smash",
+      mode: parser.mode,
+      body,
+      smashHeight,
+      smashDepth
+    };
+  },
+  htmlBuilder: (group, options) => {
+    const node = buildCommon.makeSpan([], [buildGroup(group.body, options)]);
+
+    if (!group.smashHeight && !group.smashDepth) {
+      return node;
+    }
+
+    if (group.smashHeight) {
+      node.height = 0; // In order to influence makeVList, we have to reset the children.
+
+      if (node.children) {
+        for (let i = 0; i < node.children.length; i++) {
+          node.children[i].height = 0;
+        }
+      }
+    }
+
+    if (group.smashDepth) {
+      node.depth = 0;
+
+      if (node.children) {
+        for (let i = 0; i < node.children.length; i++) {
+          node.children[i].depth = 0;
+        }
+      }
+    } // At this point, we've reset the TeX-like height and depth values.
+    // But the span still has an HTML line height.
+    // makeVList applies "display: table-cell", which prevents the browser
+    // from acting on that line height. So we'll call makeVList now.
+
+
+    const smashedNode = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: node
+      }]
+    }, options); // For spacing, TeX treats \hphantom as a math group (same spacing as ord).
+
+    return buildCommon.makeSpan(["mord"], [smashedNode], options);
+  },
+  mathmlBuilder: (group, options) => {
+    const node = new mathMLTree.MathNode("mpadded", [buildGroup$1(group.body, options)]);
+
+    if (group.smashHeight) {
+      node.setAttribute("height", "0px");
+    }
+
+    if (group.smashDepth) {
+      node.setAttribute("depth", "0px");
+    }
+
+    return node;
+  }
+});
+
+defineFunction({
+  type: "sqrt",
+  names: ["\\sqrt"],
+  props: {
+    numArgs: 1,
+    numOptionalArgs: 1
+  },
+
+  handler(_ref, args, optArgs) {
+    let parser = _ref.parser;
+    const index = optArgs[0];
+    const body = args[0];
+    return {
+      type: "sqrt",
+      mode: parser.mode,
+      body,
+      index
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Square roots are handled in the TeXbook pg. 443, Rule 11.
+    // First, we do the same steps as in overline to build the inner group
+    // and line
+    let inner = buildGroup(group.body, options.havingCrampedStyle());
+
+    if (inner.height === 0) {
+      // Render a small surd.
+      inner.height = options.fontMetrics().xHeight;
+    } // Some groups can return document fragments.  Handle those by wrapping
+    // them in a span.
+
+
+    inner = buildCommon.wrapFragment(inner, options); // Calculate the minimum size for the \surd delimiter
+
+    const metrics = options.fontMetrics();
+    const theta = metrics.defaultRuleThickness;
+    let phi = theta;
+
+    if (options.style.id < Style$1.TEXT.id) {
+      phi = options.fontMetrics().xHeight;
+    } // Calculate the clearance between the body and line
+
+
+    let lineClearance = theta + phi / 4;
+    const minDelimiterHeight = inner.height + inner.depth + lineClearance + theta; // Create a sqrt SVG of the required minimum size
+
+    const _delimiter$sqrtImage = delimiter.sqrtImage(minDelimiterHeight, options),
+          img = _delimiter$sqrtImage.span,
+          ruleWidth = _delimiter$sqrtImage.ruleWidth,
+          advanceWidth = _delimiter$sqrtImage.advanceWidth;
+
+    const delimDepth = img.height - ruleWidth; // Adjust the clearance based on the delimiter size
+
+    if (delimDepth > inner.height + inner.depth + lineClearance) {
+      lineClearance = (lineClearance + delimDepth - inner.height - inner.depth) / 2;
+    } // Shift the sqrt image
+
+
+    const imgShift = img.height - inner.height - lineClearance - ruleWidth;
+    inner.style.paddingLeft = advanceWidth + "em"; // Overlay the image and the argument.
+
+    const body = buildCommon.makeVList({
+      positionType: "firstBaseline",
+      children: [{
+        type: "elem",
+        elem: inner,
+        wrapperClasses: ["svg-align"]
+      }, {
+        type: "kern",
+        size: -(inner.height + imgShift)
+      }, {
+        type: "elem",
+        elem: img
+      }, {
+        type: "kern",
+        size: ruleWidth
+      }]
+    }, options);
+
+    if (!group.index) {
+      return buildCommon.makeSpan(["mord", "sqrt"], [body], options);
+    } else {
+      // Handle the optional root index
+      // The index is always in scriptscript style
+      const newOptions = options.havingStyle(Style$1.SCRIPTSCRIPT);
+      const rootm = buildGroup(group.index, newOptions, options); // The amount the index is shifted by. This is taken from the TeX
+      // source, in the definition of `\r@@t`.
+
+      const toShift = 0.6 * (body.height - body.depth); // Build a VList with the superscript shifted up correctly
+
+      const rootVList = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -toShift,
+        children: [{
+          type: "elem",
+          elem: rootm
+        }]
+      }, options); // Add a class surrounding it so we can add on the appropriate
+      // kerning
+
+      const rootVListWrap = buildCommon.makeSpan(["root"], [rootVList]);
+      return buildCommon.makeSpan(["mord", "sqrt"], [rootVListWrap, body], options);
+    }
+  },
+
+  mathmlBuilder(group, options) {
+    const body = group.body,
+          index = group.index;
+    return index ? new mathMLTree.MathNode("mroot", [buildGroup$1(body, options), buildGroup$1(index, options)]) : new mathMLTree.MathNode("msqrt", [buildGroup$1(body, options)]);
+  }
+
+});
+
+const styleMap$1 = {
+  "display": Style$1.DISPLAY,
+  "text": Style$1.TEXT,
+  "script": Style$1.SCRIPT,
+  "scriptscript": Style$1.SCRIPTSCRIPT
+};
+defineFunction({
+  type: "styling",
+  names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let breakOnTokenText = _ref.breakOnTokenText,
+        funcName = _ref.funcName,
+        parser = _ref.parser;
+    // parse out the implicit body
+    const body = parser.parseExpression(true, breakOnTokenText); // TODO: Refactor to avoid duplicating styleMap in multiple places (e.g.
+    // here and in buildHTML and de-dupe the enumeration of all the styles).
+    // $FlowFixMe: The names above exactly match the styles.
+
+    const style = funcName.slice(1, funcName.length - 5);
+    return {
+      type: "styling",
+      mode: parser.mode,
+      // Figure out what style to use by pulling out the style from
+      // the function name
+      style,
+      body
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Style changes are handled in the TeXbook on pg. 442, Rule 3.
+    const newStyle = styleMap$1[group.style];
+    const newOptions = options.havingStyle(newStyle).withFont('');
+    return sizingGroup(group.body, newOptions, options);
+  },
+
+  mathmlBuilder(group, options) {
+    // Figure out what style we're changing to.
+    const newStyle = styleMap$1[group.style];
+    const newOptions = options.havingStyle(newStyle);
+    const inner = buildExpression$1(group.body, newOptions);
+    const node = new mathMLTree.MathNode("mstyle", inner);
+    const styleAttributes = {
+      "display": ["0", "true"],
+      "text": ["0", "false"],
+      "script": ["1", "false"],
+      "scriptscript": ["2", "false"]
+    };
+    const attr = styleAttributes[group.style];
+    node.setAttribute("scriptlevel", attr[0]);
+    node.setAttribute("displaystyle", attr[1]);
+    return node;
+  }
+
+});
+
+/**
+ * Sometimes, groups perform special rules when they have superscripts or
+ * subscripts attached to them. This function lets the `supsub` group know that
+ * Sometimes, groups perform special rules when they have superscripts or
+ * its inner element should handle the superscripts and subscripts instead of
+ * handling them itself.
+ */
+const htmlBuilderDelegate = function htmlBuilderDelegate(group, options) {
+  const base = group.base;
+
+  if (!base) {
+    return null;
+  } else if (base.type === "op") {
+    // Operators handle supsubs differently when they have limits
+    // (e.g. `\displaystyle\sum_2^3`)
+    const delegate = base.limits && (options.style.size === Style$1.DISPLAY.size || base.alwaysHandleSupSub);
+    return delegate ? htmlBuilder$8 : null;
+  } else if (base.type === "operatorname") {
+    const delegate = base.alwaysHandleSupSub && (options.style.size === Style$1.DISPLAY.size || base.limits);
+    return delegate ? htmlBuilder$9 : null;
+  } else if (base.type === "accent") {
+    return utils.isCharacterBox(base.base) ? htmlBuilder : null;
+  } else if (base.type === "horizBrace") {
+    const isSup = !group.sub;
+    return isSup === base.isOver ? htmlBuilder$7 : null;
+  } else {
+    return null;
+  }
+}; // Super scripts and subscripts, whose precise placement can depend on other
+// functions that precede them.
+
+
+defineFunctionBuilders({
+  type: "supsub",
+
+  htmlBuilder(group, options) {
+    // Superscript and subscripts are handled in the TeXbook on page
+    // 445-446, rules 18(a-f).
+    // Here is where we defer to the inner group if it should handle
+    // superscripts and subscripts itself.
+    const builderDelegate = htmlBuilderDelegate(group, options);
+
+    if (builderDelegate) {
+      return builderDelegate(group, options);
+    }
+
+    const valueBase = group.base,
+          valueSup = group.sup,
+          valueSub = group.sub;
+    const base = buildGroup(valueBase, options);
+    let supm;
+    let subm;
+    const metrics = options.fontMetrics(); // Rule 18a
+
+    let supShift = 0;
+    let subShift = 0;
+    const isCharacterBox = valueBase && utils.isCharacterBox(valueBase);
+
+    if (valueSup) {
+      const newOptions = options.havingStyle(options.style.sup());
+      supm = buildGroup(valueSup, newOptions, options);
+
+      if (!isCharacterBox) {
+        supShift = base.height - newOptions.fontMetrics().supDrop * newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    }
+
+    if (valueSub) {
+      const newOptions = options.havingStyle(options.style.sub());
+      subm = buildGroup(valueSub, newOptions, options);
+
+      if (!isCharacterBox) {
+        subShift = base.depth + newOptions.fontMetrics().subDrop * newOptions.sizeMultiplier / options.sizeMultiplier;
+      }
+    } // Rule 18c
+
+
+    let minSupShift;
+
+    if (options.style === Style$1.DISPLAY) {
+      minSupShift = metrics.sup1;
+    } else if (options.style.cramped) {
+      minSupShift = metrics.sup3;
+    } else {
+      minSupShift = metrics.sup2;
+    } // scriptspace is a font-size-independent size, so scale it
+    // appropriately for use as the marginRight.
+
+
+    const multiplier = options.sizeMultiplier;
+    const marginRight = 0.5 / metrics.ptPerEm / multiplier + "em";
+    let marginLeft = null;
+
+    if (subm) {
+      // Subscripts shouldn't be shifted by the base's italic correction.
+      // Account for that by shifting the subscript back the appropriate
+      // amount. Note we only do this when the base is a single symbol.
+      const isOiint = group.base && group.base.type === "op" && group.base.name && (group.base.name === "\\oiint" || group.base.name === "\\oiiint");
+
+      if (base instanceof SymbolNode || isOiint) {
+        // $FlowFixMe
+        marginLeft = -base.italic + "em";
+      }
+    }
+
+    let supsub;
+
+    if (supm && subm) {
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      subShift = Math.max(subShift, metrics.sub2);
+      const ruleWidth = metrics.defaultRuleThickness; // Rule 18e
+
+      const maxWidth = 4 * ruleWidth;
+
+      if (supShift - supm.depth - (subm.height - subShift) < maxWidth) {
+        subShift = maxWidth - (supShift - supm.depth) + subm.height;
+        const psi = 0.8 * metrics.xHeight - (supShift - supm.depth);
+
+        if (psi > 0) {
+          supShift += psi;
+          subShift -= psi;
+        }
+      }
+
+      const vlistElem = [{
+        type: "elem",
+        elem: subm,
+        shift: subShift,
+        marginRight,
+        marginLeft
+      }, {
+        type: "elem",
+        elem: supm,
+        shift: -supShift,
+        marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "individualShift",
+        children: vlistElem
+      }, options);
+    } else if (subm) {
+      // Rule 18b
+      subShift = Math.max(subShift, metrics.sub1, subm.height - 0.8 * metrics.xHeight);
+      const vlistElem = [{
+        type: "elem",
+        elem: subm,
+        marginLeft,
+        marginRight
+      }];
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: subShift,
+        children: vlistElem
+      }, options);
+    } else if (supm) {
+      // Rule 18c, d
+      supShift = Math.max(supShift, minSupShift, supm.depth + 0.25 * metrics.xHeight);
+      supsub = buildCommon.makeVList({
+        positionType: "shift",
+        positionData: -supShift,
+        children: [{
+          type: "elem",
+          elem: supm,
+          marginRight
+        }]
+      }, options);
+    } else {
+      throw new Error("supsub must have either sup or sub.");
+    } // Wrap the supsub vlist in a span.msupsub to reset text-align.
+
+
+    const mclass = getTypeOfDomTree(base, "right") || "mord";
+    return buildCommon.makeSpan([mclass], [base, buildCommon.makeSpan(["msupsub"], [supsub])], options);
+  },
+
+  mathmlBuilder(group, options) {
+    // Is the inner group a relevant horizonal brace?
+    let isBrace = false;
+    let isOver;
+    let isSup;
+
+    if (group.base && group.base.type === "horizBrace") {
+      isSup = !!group.sup;
+
+      if (isSup === group.base.isOver) {
+        isBrace = true;
+        isOver = group.base.isOver;
+      }
+    }
+
+    if (group.base && (group.base.type === "op" || group.base.type === "operatorname")) {
+      group.base.parentIsSupSub = true;
+    }
+
+    const children = [buildGroup$1(group.base, options)];
+
+    if (group.sub) {
+      children.push(buildGroup$1(group.sub, options));
+    }
+
+    if (group.sup) {
+      children.push(buildGroup$1(group.sup, options));
+    }
+
+    let nodeType;
+
+    if (isBrace) {
+      nodeType = isOver ? "mover" : "munder";
+    } else if (!group.sub) {
+      const base = group.base;
+
+      if (base && base.type === "op" && base.limits && (options.style === Style$1.DISPLAY || base.alwaysHandleSupSub)) {
+        nodeType = "mover";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === Style$1.DISPLAY)) {
+        nodeType = "mover";
+      } else {
+        nodeType = "msup";
+      }
+    } else if (!group.sup) {
+      const base = group.base;
+
+      if (base && base.type === "op" && base.limits && (options.style === Style$1.DISPLAY || base.alwaysHandleSupSub)) {
+        nodeType = "munder";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (base.limits || options.style === Style$1.DISPLAY)) {
+        nodeType = "munder";
+      } else {
+        nodeType = "msub";
+      }
+    } else {
+      const base = group.base;
+
+      if (base && base.type === "op" && base.limits && options.style === Style$1.DISPLAY) {
+        nodeType = "munderover";
+      } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub && (options.style === Style$1.DISPLAY || base.limits)) {
+        nodeType = "munderover";
+      } else {
+        nodeType = "msubsup";
+      }
+    }
+
+    const node = new mathMLTree.MathNode(nodeType, children);
+    return node;
+  }
+
+});
+
+defineFunctionBuilders({
+  type: "atom",
+
+  htmlBuilder(group, options) {
+    return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]);
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mo", [makeText(group.text, group.mode)]);
+
+    if (group.family === "bin") {
+      const variant = getVariant(group, options);
+
+      if (variant === "bold-italic") {
+        node.setAttribute("mathvariant", variant);
+      }
+    } else if (group.family === "punct") {
+      node.setAttribute("separator", "true");
+    } else if (group.family === "open" || group.family === "close") {
+      // Delims built here should not stretch vertically.
+      // See delimsizing.js for stretchy delims.
+      node.setAttribute("stretchy", "false");
+    }
+
+    return node;
+  }
+
+});
+
+// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in
+const defaultVariant = {
+  "mi": "italic",
+  "mn": "normal",
+  "mtext": "normal"
+};
+defineFunctionBuilders({
+  type: "mathord",
+
+  htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "mathord");
+  },
+
+  mathmlBuilder(group, options) {
+    const node = new mathMLTree.MathNode("mi", [makeText(group.text, group.mode, options)]);
+    const variant = getVariant(group, options) || "italic";
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+
+});
+defineFunctionBuilders({
+  type: "textord",
+
+  htmlBuilder(group, options) {
+    return buildCommon.makeOrd(group, options, "textord");
+  },
+
+  mathmlBuilder(group, options) {
+    const text = makeText(group.text, group.mode, options);
+    const variant = getVariant(group, options) || "normal";
+    let node;
+
+    if (group.mode === 'text') {
+      node = new mathMLTree.MathNode("mtext", [text]);
+    } else if (/[0-9]/.test(group.text)) {
+      // TODO(kevinb) merge adjacent <mn> nodes
+      // do it as a post processing step
+      node = new mathMLTree.MathNode("mn", [text]);
+    } else if (group.text === "\\prime") {
+      node = new mathMLTree.MathNode("mo", [text]);
+    } else {
+      node = new mathMLTree.MathNode("mi", [text]);
+    }
+
+    if (variant !== defaultVariant[node.type]) {
+      node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+  }
+
+});
+
+const cssSpace = {
+  "\\nobreak": "nobreak",
+  "\\allowbreak": "allowbreak"
+}; // A lookup table to determine whether a spacing function/symbol should be
+// treated like a regular space character.  If a symbol or command is a key
+// in this table, then it should be a regular space character.  Furthermore,
+// the associated value may have a `className` specifying an extra CSS class
+// to add to the created `span`.
+
+const regularSpace = {
+  " ": {},
+  "\\ ": {},
+  "~": {
+    className: "nobreak"
+  },
+  "\\space": {},
+  "\\nobreakspace": {
+    className: "nobreak"
+  }
+}; // ParseNode<"spacing"> created in Parser.js from the "spacing" symbol Groups in
+// src/symbols.js.
+
+defineFunctionBuilders({
+  type: "spacing",
+
+  htmlBuilder(group, options) {
+    if (regularSpace.hasOwnProperty(group.text)) {
+      const className = regularSpace[group.text].className || ""; // Spaces are generated by adding an actual space. Each of these
+      // things has an entry in the symbols table, so these will be turned
+      // into appropriate outputs.
+
+      if (group.mode === "text") {
+        const ord = buildCommon.makeOrd(group, options, "textord");
+        ord.classes.push(className);
+        return ord;
+      } else {
+        return buildCommon.makeSpan(["mspace", className], [buildCommon.mathsym(group.text, group.mode, options)], options);
+      }
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // Spaces based on just a CSS class.
+      return buildCommon.makeSpan(["mspace", cssSpace[group.text]], [], options);
+    } else {
+      throw new ParseError(`Unknown type of space "${group.text}"`);
+    }
+  },
+
+  mathmlBuilder(group, options) {
+    let node;
+
+    if (regularSpace.hasOwnProperty(group.text)) {
+      node = new mathMLTree.MathNode("mtext", [new mathMLTree.TextNode("\u00a0")]);
+    } else if (cssSpace.hasOwnProperty(group.text)) {
+      // CSS-based MathML spaces (\nobreak, \allowbreak) are ignored
+      return new mathMLTree.MathNode("mspace");
+    } else {
+      throw new ParseError(`Unknown type of space "${group.text}"`);
+    }
+
+    return node;
+  }
+
+});
+
+const pad = () => {
+  const padNode = new mathMLTree.MathNode("mtd", []);
+  padNode.setAttribute("width", "50%");
+  return padNode;
+};
+
+defineFunctionBuilders({
+  type: "tag",
+
+  mathmlBuilder(group, options) {
+    const table = new mathMLTree.MathNode("mtable", [new mathMLTree.MathNode("mtr", [pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.body, options)]), pad(), new mathMLTree.MathNode("mtd", [buildExpressionRow(group.tag, options)])])]);
+    table.setAttribute("width", "100%");
+    return table; // TODO: Left-aligned tags.
+    // Currently, the group and options passed here do not contain
+    // enough info to set tag alignment. `leqno` is in Settings but it is
+    // not passed to Options. On the HTML side, leqno is
+    // set by a CSS class applied in buildTree.js. That would have worked
+    // in MathML if browsers supported <mlabeledtr>. Since they don't, we
+    // need to rewrite the way this function is called.
+  }
+
+});
+
+const textFontFamilies = {
+  "\\text": undefined,
+  "\\textrm": "textrm",
+  "\\textsf": "textsf",
+  "\\texttt": "texttt",
+  "\\textnormal": "textrm"
+};
+const textFontWeights = {
+  "\\textbf": "textbf",
+  "\\textmd": "textmd"
+};
+const textFontShapes = {
+  "\\textit": "textit",
+  "\\textup": "textup"
+};
+
+const optionsWithFont = (group, options) => {
+  const font = group.font; // Checks if the argument is a font family or a font style.
+
+  if (!font) {
+    return options;
+  } else if (textFontFamilies[font]) {
+    return options.withTextFontFamily(textFontFamilies[font]);
+  } else if (textFontWeights[font]) {
+    return options.withTextFontWeight(textFontWeights[font]);
+  } else {
+    return options.withTextFontShape(textFontShapes[font]);
+  }
+};
+
+defineFunction({
+  type: "text",
+  names: [// Font families
+  "\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", // Font weights
+  "\\textbf", "\\textmd", // Font Shapes
+  "\\textit", "\\textup"],
+  props: {
+    numArgs: 1,
+    argTypes: ["text"],
+    greediness: 2,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser,
+        funcName = _ref.funcName;
+    const body = args[0];
+    return {
+      type: "text",
+      mode: parser.mode,
+      body: ordargument(body),
+      font: funcName
+    };
+  },
+
+  htmlBuilder(group, options) {
+    const newOptions = optionsWithFont(group, options);
+    const inner = buildExpression(group.body, newOptions, true);
+    return buildCommon.makeSpan(["mord", "text"], buildCommon.tryCombineChars(inner), newOptions);
+  },
+
+  mathmlBuilder(group, options) {
+    const newOptions = optionsWithFont(group, options);
+    return buildExpressionRow(group.body, newOptions);
+  }
+
+});
+
+defineFunction({
+  type: "underline",
+  names: ["\\underline"],
+  props: {
+    numArgs: 1,
+    allowedInText: true
+  },
+
+  handler(_ref, args) {
+    let parser = _ref.parser;
+    return {
+      type: "underline",
+      mode: parser.mode,
+      body: args[0]
+    };
+  },
+
+  htmlBuilder(group, options) {
+    // Underlines are handled in the TeXbook pg 443, Rule 10.
+    // Build the inner group.
+    const innerGroup = buildGroup(group.body, options); // Create the line to go below the body
+
+    const line = buildCommon.makeLineSpan("underline-line", options); // Generate the vlist, with the appropriate kerns
+
+    const defaultRuleThickness = options.fontMetrics().defaultRuleThickness;
+    const vlist = buildCommon.makeVList({
+      positionType: "top",
+      positionData: innerGroup.height,
+      children: [{
+        type: "kern",
+        size: defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: line
+      }, {
+        type: "kern",
+        size: 3 * defaultRuleThickness
+      }, {
+        type: "elem",
+        elem: innerGroup
+      }]
+    }, options);
+    return buildCommon.makeSpan(["mord", "underline"], [vlist], options);
+  },
+
+  mathmlBuilder(group, options) {
+    const operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]);
+    operator.setAttribute("stretchy", "true");
+    const node = new mathMLTree.MathNode("munder", [buildGroup$1(group.body, options), operator]);
+    node.setAttribute("accentunder", "true");
+    return node;
+  }
+
+});
+
+defineFunction({
+  type: "verb",
+  names: ["\\verb"],
+  props: {
+    numArgs: 0,
+    allowedInText: true
+  },
+
+  handler(context, args, optArgs) {
+    // \verb and \verb* are dealt with directly in Parser.js.
+    // If we end up here, it's because of a failure to match the two delimiters
+    // in the regex in Lexer.js.  LaTeX raises the following error when \verb is
+    // terminated by end of line (or file).
+    throw new ParseError("\\verb ended by end of line instead of matching delimiter");
+  },
+
+  htmlBuilder(group, options) {
+    const text = makeVerb(group);
+    const body = []; // \verb enters text mode and therefore is sized like \textstyle
+
+    const newOptions = options.havingStyle(options.style.text());
+
+    for (let i = 0; i < text.length; i++) {
+      let c = text[i];
+
+      if (c === '~') {
+        c = '\\textasciitilde';
+      }
+
+      body.push(buildCommon.makeSymbol(c, "Typewriter-Regular", group.mode, newOptions, ["mord", "texttt"]));
+    }
+
+    return buildCommon.makeSpan(["mord", "text"].concat(newOptions.sizingClasses(options)), buildCommon.tryCombineChars(body), newOptions);
+  },
+
+  mathmlBuilder(group, options) {
+    const text = new mathMLTree.TextNode(makeVerb(group));
+    const node = new mathMLTree.MathNode("mtext", [text]);
+    node.setAttribute("mathvariant", "monospace");
+    return node;
+  }
+
+});
+/**
+ * Converts verb group into body string.
+ *
+ * \verb* replaces each space with an open box \u2423
+ * \verb replaces each space with a no-break space \xA0
+ */
+
+const makeVerb = group => group.body.replace(/ /g, group.star ? '\u2423' : '\xA0');
+
+/** Include this to ensure that all functions are defined. */
+const functions = _functions;
+
+/**
+ * The Lexer class handles tokenizing the input in various ways. Since our
+ * parser expects us to be able to backtrack, the lexer allows lexing from any
+ * given starting point.
+ *
+ * Its main exposed function is the `lex` function, which takes a position to
+ * lex from and a type of token to lex. It defers to the appropriate `_innerLex`
+ * function.
+ *
+ * The various `_innerLex` functions perform the actual lexing of different
+ * kinds.
+ */
+
+/* The following tokenRegex
+ * - matches typical whitespace (but not NBSP etc.) using its first group
+ * - does not match any control character \x00-\x1f except whitespace
+ * - does not match a bare backslash
+ * - matches any ASCII character except those just mentioned
+ * - does not match the BMP private use area \uE000-\uF8FF
+ * - does not match bare surrogate code units
+ * - matches any BMP character except for those just described
+ * - matches any valid Unicode surrogate pair
+ * - matches a backslash followed by one or more letters
+ * - matches a backslash followed by any BMP character, including newline
+ * Just because the Lexer matches something doesn't mean it's valid input:
+ * If there is no matching function or symbol definition, the Parser will
+ * still reject the input.
+ */
+const spaceRegexString = "[ \r\n\t]";
+const controlWordRegexString = "\\\\[a-zA-Z@]+";
+const controlSymbolRegexString = "\\\\[^\uD800-\uDFFF]";
+const controlWordWhitespaceRegexString = `${controlWordRegexString}${spaceRegexString}*`;
+const controlWordWhitespaceRegex = new RegExp(`^(${controlWordRegexString})${spaceRegexString}*$`);
+const combiningDiacriticalMarkString = "[\u0300-\u036f]";
+const combiningDiacriticalMarksEndRegex = new RegExp(`${combiningDiacriticalMarkString}+$`);
+const tokenRegexString = `(${spaceRegexString}+)|` + // whitespace
+"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + // single codepoint
+`${combiningDiacriticalMarkString}*` + // ...plus accents
+"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + // surrogate pair
+`${combiningDiacriticalMarkString}*` + // ...plus accents
+"|\\\\verb\\*([^]).*?\\3" + // \verb*
+"|\\\\verb([^*a-zA-Z]).*?\\4" + // \verb unstarred
+"|\\\\operatorname\\*" + // \operatorname*
+`|${controlWordWhitespaceRegexString}` + // \macroName + spaces
+`|${controlSymbolRegexString})`; // \\, \', etc.
+
+/** Main Lexer class */
+
+class Lexer {
+  // category codes, only supports comment characters (14) for now
+  constructor(input, settings) {
+    this.input = void 0;
+    this.settings = void 0;
+    this.tokenRegex = void 0;
+    this.catcodes = void 0;
+    // Separate accents from characters
+    this.input = input;
+    this.settings = settings;
+    this.tokenRegex = new RegExp(tokenRegexString, 'g');
+    this.catcodes = {
+      "%": 14 // comment character
+
+    };
+  }
+
+  setCatcode(char, code) {
+    this.catcodes[char] = code;
+  }
+  /**
+   * This function lexes a single token.
+   */
+
+
+  lex() {
+    const input = this.input;
+    const pos = this.tokenRegex.lastIndex;
+
+    if (pos === input.length) {
+      return new Token("EOF", new SourceLocation(this, pos, pos));
+    }
+
+    const match = this.tokenRegex.exec(input);
+
+    if (match === null || match.index !== pos) {
+      throw new ParseError(`Unexpected character: '${input[pos]}'`, new Token(input[pos], new SourceLocation(this, pos, pos + 1)));
+    }
+
+    let text = match[2] || " ";
+
+    if (this.catcodes[text] === 14) {
+      // comment character
+      const nlIndex = input.indexOf('\n', this.tokenRegex.lastIndex);
+
+      if (nlIndex === -1) {
+        this.tokenRegex.lastIndex = input.length; // EOF
+
+        this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would " + "fail because of commenting the end of math mode (e.g. $)");
+      } else {
+        this.tokenRegex.lastIndex = nlIndex + 1;
+      }
+
+      return this.lex();
+    } // Trim any trailing whitespace from control word match
+
+
+    const controlMatch = text.match(controlWordWhitespaceRegex);
+
+    if (controlMatch) {
+      text = controlMatch[1];
+    }
+
+    return new Token(text, new SourceLocation(this, pos, this.tokenRegex.lastIndex));
+  }
+
+}
+
+/**
+ * A `Namespace` refers to a space of nameable things like macros or lengths,
+ * which can be `set` either globally or local to a nested group, using an
+ * undo stack similar to how TeX implements this functionality.
+ * Performance-wise, `get` and local `set` take constant time, while global
+ * `set` takes time proportional to the depth of group nesting.
+ */
+class Namespace {
+  /**
+   * Both arguments are optional.  The first argument is an object of
+   * built-in mappings which never change.  The second argument is an object
+   * of initial (global-level) mappings, which will constantly change
+   * according to any global/top-level `set`s done.
+   */
+  constructor(builtins, globalMacros) {
+    if (builtins === void 0) {
+      builtins = {};
+    }
+
+    if (globalMacros === void 0) {
+      globalMacros = {};
+    }
+
+    this.current = void 0;
+    this.builtins = void 0;
+    this.undefStack = void 0;
+    this.current = globalMacros;
+    this.builtins = builtins;
+    this.undefStack = [];
+  }
+  /**
+   * Start a new nested group, affecting future local `set`s.
+   */
+
+
+  beginGroup() {
+    this.undefStack.push({});
+  }
+  /**
+   * End current nested group, restoring values before the group began.
+   */
+
+
+  endGroup() {
+    if (this.undefStack.length === 0) {
+      throw new ParseError("Unbalanced namespace destruction: attempt " + "to pop global namespace; please report this as a bug");
+    }
+
+    const undefs = this.undefStack.pop();
+
+    for (const undef in undefs) {
+      if (undefs.hasOwnProperty(undef)) {
+        if (undefs[undef] === undefined) {
+          delete this.current[undef];
+        } else {
+          this.current[undef] = undefs[undef];
+        }
+      }
+    }
+  }
+  /**
+   * Detect whether `name` has a definition.  Equivalent to
+   * `get(name) != null`.
+   */
+
+
+  has(name) {
+    return this.current.hasOwnProperty(name) || this.builtins.hasOwnProperty(name);
+  }
+  /**
+   * Get the current value of a name, or `undefined` if there is no value.
+   *
+   * Note: Do not use `if (namespace.get(...))` to detect whether a macro
+   * is defined, as the definition may be the empty string which evaluates
+   * to `false` in JavaScript.  Use `if (namespace.get(...) != null)` or
+   * `if (namespace.has(...))`.
+   */
+
+
+  get(name) {
+    if (this.current.hasOwnProperty(name)) {
+      return this.current[name];
+    } else {
+      return this.builtins[name];
+    }
+  }
+  /**
+   * Set the current value of a name, and optionally set it globally too.
+   * Local set() sets the current value and (when appropriate) adds an undo
+   * operation to the undo stack.  Global set() may change the undo
+   * operation at every level, so takes time linear in their number.
+   */
+
+
+  set(name, value, global) {
+    if (global === void 0) {
+      global = false;
+    }
+
+    if (global) {
+      // Global set is equivalent to setting in all groups.  Simulate this
+      // by destroying any undos currently scheduled for this name,
+      // and adding an undo with the *new* value (in case it later gets
+      // locally reset within this environment).
+      for (let i = 0; i < this.undefStack.length; i++) {
+        delete this.undefStack[i][name];
+      }
+
+      if (this.undefStack.length > 0) {
+        this.undefStack[this.undefStack.length - 1][name] = value;
+      }
+    } else {
+      // Undo this set at end of this group (possibly to `undefined`),
+      // unless an undo is already in place, in which case that older
+      // value is the correct one.
+      const top = this.undefStack[this.undefStack.length - 1];
+
+      if (top && !top.hasOwnProperty(name)) {
+        top[name] = this.current[name];
+      }
+    }
+
+    this.current[name] = value;
+  }
+
+}
+
+/**
+ * Predefined macros for KaTeX.
+ * This can be used to define some commands in terms of others.
+ */
+const builtinMacros = {};
+
+function defineMacro(name, body) {
+  builtinMacros[name] = body;
+} //////////////////////////////////////////////////////////////////////
+// macro tools
+
+defineMacro("\\noexpand", function (context) {
+  // The expansion is the token itself; but that token is interpreted
+  // as if its meaning were ‘\relax’ if it is a control sequence that
+  // would ordinarily be expanded by TeX’s expansion rules.
+  const t = context.popToken();
+
+  if (context.isExpandable(t.text)) {
+    t.noexpand = true;
+    t.treatAsRelax = true;
+  }
+
+  return {
+    tokens: [t],
+    numArgs: 0
+  };
+});
+defineMacro("\\expandafter", function (context) {
+  // TeX first reads the token that comes immediately after \expandafter,
+  // without expanding it; let’s call this token t. Then TeX reads the
+  // token that comes after t (and possibly more tokens, if that token
+  // has an argument), replacing it by its expansion. Finally TeX puts
+  // t back in front of that expansion.
+  const t = context.popToken();
+  context.expandOnce(true); // expand only an expandable token
+
+  return {
+    tokens: [t],
+    numArgs: 0
+  };
+}); // LaTeX's \@firstoftwo{#1}{#2} expands to #1, skipping #2
+// TeX source: \long\def\@firstoftwo#1#2{#1}
+
+defineMacro("\\@firstoftwo", function (context) {
+  const args = context.consumeArgs(2);
+  return {
+    tokens: args[0],
+    numArgs: 0
+  };
+}); // LaTeX's \@secondoftwo{#1}{#2} expands to #2, skipping #1
+// TeX source: \long\def\@secondoftwo#1#2{#2}
+
+defineMacro("\\@secondoftwo", function (context) {
+  const args = context.consumeArgs(2);
+  return {
+    tokens: args[1],
+    numArgs: 0
+  };
+}); // LaTeX's \@ifnextchar{#1}{#2}{#3} looks ahead to the next (unexpanded)
+// symbol that isn't a space, consuming any spaces but not consuming the
+// first nonspace character.  If that nonspace character matches #1, then
+// the macro expands to #2; otherwise, it expands to #3.
+
+defineMacro("\\@ifnextchar", function (context) {
+  const args = context.consumeArgs(3); // symbol, if, else
+
+  context.consumeSpaces();
+  const nextToken = context.future();
+
+  if (args[0].length === 1 && args[0][0].text === nextToken.text) {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[2],
+      numArgs: 0
+    };
+  }
+}); // LaTeX's \@ifstar{#1}{#2} looks ahead to the next (unexpanded) symbol.
+// If it is `*`, then it consumes the symbol, and the macro expands to #1;
+// otherwise, the macro expands to #2 (without consuming the symbol).
+// TeX source: \def\@ifstar#1{\@ifnextchar *{\@firstoftwo{#1}}}
+
+defineMacro("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"); // LaTeX's \TextOrMath{#1}{#2} expands to #1 in text mode, #2 in math mode
+
+defineMacro("\\TextOrMath", function (context) {
+  const args = context.consumeArgs(2);
+
+  if (context.mode === 'text') {
+    return {
+      tokens: args[0],
+      numArgs: 0
+    };
+  } else {
+    return {
+      tokens: args[1],
+      numArgs: 0
+    };
+  }
+}); // Lookup table for parsing numbers in base 8 through 16
+
+const digitToNumber = {
+  "0": 0,
+  "1": 1,
+  "2": 2,
+  "3": 3,
+  "4": 4,
+  "5": 5,
+  "6": 6,
+  "7": 7,
+  "8": 8,
+  "9": 9,
+  "a": 10,
+  "A": 10,
+  "b": 11,
+  "B": 11,
+  "c": 12,
+  "C": 12,
+  "d": 13,
+  "D": 13,
+  "e": 14,
+  "E": 14,
+  "f": 15,
+  "F": 15
+}; // TeX \char makes a literal character (catcode 12) using the following forms:
+// (see The TeXBook, p. 43)
+//   \char123  -- decimal
+//   \char'123 -- octal
+//   \char"123 -- hex
+//   \char`x   -- character that can be written (i.e. isn't active)
+//   \char`\x  -- character that cannot be written (e.g. %)
+// These all refer to characters from the font, so we turn them into special
+// calls to a function \@char dealt with in the Parser.
+
+defineMacro("\\char", function (context) {
+  let token = context.popToken();
+  let base;
+  let number = '';
+
+  if (token.text === "'") {
+    base = 8;
+    token = context.popToken();
+  } else if (token.text === '"') {
+    base = 16;
+    token = context.popToken();
+  } else if (token.text === "`") {
+    token = context.popToken();
+
+    if (token.text[0] === "\\") {
+      number = token.text.charCodeAt(1);
+    } else if (token.text === "EOF") {
+      throw new ParseError("\\char` missing argument");
+    } else {
+      number = token.text.charCodeAt(0);
+    }
+  } else {
+    base = 10;
+  }
+
+  if (base) {
+    // Parse a number in the given base, starting with first `token`.
+    number = digitToNumber[token.text];
+
+    if (number == null || number >= base) {
+      throw new ParseError(`Invalid base-${base} digit ${token.text}`);
+    }
+
+    let digit;
+
+    while ((digit = digitToNumber[context.future().text]) != null && digit < base) {
+      number *= base;
+      number += digit;
+      context.popToken();
+    }
+  }
+
+  return `\\@char{${number}}`;
+}); // \newcommand{\macro}[args]{definition}
+// \renewcommand{\macro}[args]{definition}
+// TODO: Optional arguments: \newcommand{\macro}[args][default]{definition}
+
+const newcommand = (context, existsOK, nonexistsOK) => {
+  let arg = context.consumeArgs(1)[0];
+
+  if (arg.length !== 1) {
+    throw new ParseError("\\newcommand's first argument must be a macro name");
+  }
+
+  const name = arg[0].text;
+  const exists = context.isDefined(name);
+
+  if (exists && !existsOK) {
+    throw new ParseError(`\\newcommand{${name}} attempting to redefine ` + `${name}; use \\renewcommand`);
+  }
+
+  if (!exists && !nonexistsOK) {
+    throw new ParseError(`\\renewcommand{${name}} when command ${name} ` + `does not yet exist; use \\newcommand`);
+  }
+
+  let numArgs = 0;
+  arg = context.consumeArgs(1)[0];
+
+  if (arg.length === 1 && arg[0].text === "[") {
+    let argText = '';
+    let token = context.expandNextToken();
+
+    while (token.text !== "]" && token.text !== "EOF") {
+      // TODO: Should properly expand arg, e.g., ignore {}s
+      argText += token.text;
+      token = context.expandNextToken();
+    }
+
+    if (!argText.match(/^\s*[0-9]+\s*$/)) {
+      throw new ParseError(`Invalid number of arguments: ${argText}`);
+    }
+
+    numArgs = parseInt(argText);
+    arg = context.consumeArgs(1)[0];
+  } // Final arg is the expansion of the macro
+
+
+  context.macros.set(name, {
+    tokens: arg,
+    numArgs
+  });
+  return '';
+};
+
+defineMacro("\\newcommand", context => newcommand(context, false, true));
+defineMacro("\\renewcommand", context => newcommand(context, true, false));
+defineMacro("\\providecommand", context => newcommand(context, true, true)); // terminal (console) tools
+
+defineMacro("\\message", context => {
+  const arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console
+
+  console.log(arg.reverse().map(token => token.text).join(""));
+  return '';
+});
+defineMacro("\\errmessage", context => {
+  const arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console
+
+  console.error(arg.reverse().map(token => token.text).join(""));
+  return '';
+});
+defineMacro("\\show", context => {
+  const tok = context.popToken();
+  const name = tok.text; // eslint-disable-next-line no-console
+
+  console.log(tok, context.macros.get(name), functions[name], symbols.math[name], symbols.text[name]);
+  return '';
+}); //////////////////////////////////////////////////////////////////////
+// Grouping
+// \let\bgroup={ \let\egroup=}
+
+defineMacro("\\bgroup", "{");
+defineMacro("\\egroup", "}"); // Symbols from latex.ltx:
+// \def\lq{`}
+// \def\rq{'}
+// \def \aa {\r a}
+// \def \AA {\r A}
+
+defineMacro("\\lq", "`");
+defineMacro("\\rq", "'");
+defineMacro("\\aa", "\\r a");
+defineMacro("\\AA", "\\r A"); // Copyright (C) and registered (R) symbols. Use raw symbol in MathML.
+// \DeclareTextCommandDefault{\textcopyright}{\textcircled{c}}
+// \DeclareTextCommandDefault{\textregistered}{\textcircled{%
+//      \check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}}
+// \DeclareRobustCommand{\copyright}{%
+//    \ifmmode{\nfss@text{\textcopyright}}\else\textcopyright\fi}
+
+defineMacro("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`©}");
+defineMacro("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}");
+defineMacro("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`®}"); // Characters omitted from Unicode range 1D400–1D7FF
+
+defineMacro("\u212C", "\\mathscr{B}"); // script
+
+defineMacro("\u2130", "\\mathscr{E}");
+defineMacro("\u2131", "\\mathscr{F}");
+defineMacro("\u210B", "\\mathscr{H}");
+defineMacro("\u2110", "\\mathscr{I}");
+defineMacro("\u2112", "\\mathscr{L}");
+defineMacro("\u2133", "\\mathscr{M}");
+defineMacro("\u211B", "\\mathscr{R}");
+defineMacro("\u212D", "\\mathfrak{C}"); // Fraktur
+
+defineMacro("\u210C", "\\mathfrak{H}");
+defineMacro("\u2128", "\\mathfrak{Z}"); // Define \Bbbk with a macro that works in both HTML and MathML.
+
+defineMacro("\\Bbbk", "\\Bbb{k}"); // Unicode middle dot
+// The KaTeX fonts do not contain U+00B7. Instead, \cdotp displays
+// the dot at U+22C5 and gives it punct spacing.
+
+defineMacro("\u00b7", "\\cdotp"); // \llap and \rlap render their contents in text mode
+
+defineMacro("\\llap", "\\mathllap{\\textrm{#1}}");
+defineMacro("\\rlap", "\\mathrlap{\\textrm{#1}}");
+defineMacro("\\clap", "\\mathclap{\\textrm{#1}}"); // \not is defined by base/fontmath.ltx via
+// \DeclareMathSymbol{\not}{\mathrel}{symbols}{"36}
+// It's thus treated like a \mathrel, but defined by a symbol that has zero
+// width but extends to the right.  We use \rlap to get that spacing.
+// For MathML we write U+0338 here. buildMathML.js will then do the overlay.
+
+defineMacro("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'); // Negated symbols from base/fontmath.ltx:
+// \def\neq{\not=} \let\ne=\neq
+// \DeclareRobustCommand
+//   \notin{\mathrel{\m@th\mathpalette\c@ncel\in}}
+// \def\c@ncel#1#2{\m@th\ooalign{$\hfil#1\mkern1mu/\hfil$\crcr$#1#2$}}
+
+defineMacro("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`≠}}");
+defineMacro("\\ne", "\\neq");
+defineMacro("\u2260", "\\neq");
+defineMacro("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}" + "{\\mathrel{\\char`∉}}");
+defineMacro("\u2209", "\\notin"); // Unicode stacked relations
+
+defineMacro("\u2258", "\\html@mathml{" + "\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}" + "}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}");
+defineMacro("\u225A", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225A}}");
+defineMacro("\u225B", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}" + "{\\mathrel{\\char`\u225B}}");
+defineMacro("\u225D", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}" + "{\\mathrel{\\char`\u225D}}");
+defineMacro("\u225E", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}" + "{\\mathrel{\\char`\u225E}}");
+defineMacro("\u225F", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225F}}"); // Misc Unicode
+
+defineMacro("\u27C2", "\\perp");
+defineMacro("\u203C", "\\mathclose{!\\mkern-0.8mu!}");
+defineMacro("\u220C", "\\notni");
+defineMacro("\u231C", "\\ulcorner");
+defineMacro("\u231D", "\\urcorner");
+defineMacro("\u231E", "\\llcorner");
+defineMacro("\u231F", "\\lrcorner");
+defineMacro("\u00A9", "\\copyright");
+defineMacro("\u00AE", "\\textregistered");
+defineMacro("\uFE0F", "\\textregistered"); // The KaTeX fonts have corners at codepoints that don't match Unicode.
+// For MathML purposes, use the Unicode code point.
+
+defineMacro("\\ulcorner", "\\html@mathml{\\@ulcorner}{\\mathop{\\char\"231c}}");
+defineMacro("\\urcorner", "\\html@mathml{\\@urcorner}{\\mathop{\\char\"231d}}");
+defineMacro("\\llcorner", "\\html@mathml{\\@llcorner}{\\mathop{\\char\"231e}}");
+defineMacro("\\lrcorner", "\\html@mathml{\\@lrcorner}{\\mathop{\\char\"231f}}"); //////////////////////////////////////////////////////////////////////
+// LaTeX_2ε
+// \vdots{\vbox{\baselineskip4\p@  \lineskiplimit\z@
+// \kern6\p@\hbox{.}\hbox{.}\hbox{.}}}
+// We'll call \varvdots, which gets a glyph from symbols.js.
+// The zero-width rule gets us an equivalent to the vertical 6pt kern.
+
+defineMacro("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}");
+defineMacro("\u22ee", "\\vdots"); //////////////////////////////////////////////////////////////////////
+// amsmath.sty
+// http://mirrors.concertpass.com/tex-archive/macros/latex/required/amsmath/amsmath.pdf
+// Italic Greek capital letters.  AMS defines these with \DeclareMathSymbol,
+// but they are equivalent to \mathit{\Letter}.
+
+defineMacro("\\varGamma", "\\mathit{\\Gamma}");
+defineMacro("\\varDelta", "\\mathit{\\Delta}");
+defineMacro("\\varTheta", "\\mathit{\\Theta}");
+defineMacro("\\varLambda", "\\mathit{\\Lambda}");
+defineMacro("\\varXi", "\\mathit{\\Xi}");
+defineMacro("\\varPi", "\\mathit{\\Pi}");
+defineMacro("\\varSigma", "\\mathit{\\Sigma}");
+defineMacro("\\varUpsilon", "\\mathit{\\Upsilon}");
+defineMacro("\\varPhi", "\\mathit{\\Phi}");
+defineMacro("\\varPsi", "\\mathit{\\Psi}");
+defineMacro("\\varOmega", "\\mathit{\\Omega}"); //\newcommand{\substack}[1]{\subarray{c}#1\endsubarray}
+
+defineMacro("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"); // \renewcommand{\colon}{\nobreak\mskip2mu\mathpunct{}\nonscript
+// \mkern-\thinmuskip{:}\mskip6muplus1mu\relax}
+
+defineMacro("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}" + "\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu"); // \newcommand{\boxed}[1]{\fbox{\m@th$\displaystyle#1$}}
+
+defineMacro("\\boxed", "\\fbox{$\\displaystyle{#1}$}"); // \def\iff{\DOTSB\;\Longleftrightarrow\;}
+// \def\implies{\DOTSB\;\Longrightarrow\;}
+// \def\impliedby{\DOTSB\;\Longleftarrow\;}
+
+defineMacro("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;");
+defineMacro("\\implies", "\\DOTSB\\;\\Longrightarrow\\;");
+defineMacro("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;"); // AMSMath's automatic \dots, based on \mdots@@ macro.
+
+const dotsByToken = {
+  ',': '\\dotsc',
+  '\\not': '\\dotsb',
+  // \keybin@ checks for the following:
+  '+': '\\dotsb',
+  '=': '\\dotsb',
+  '<': '\\dotsb',
+  '>': '\\dotsb',
+  '-': '\\dotsb',
+  '*': '\\dotsb',
+  ':': '\\dotsb',
+  // Symbols whose definition starts with \DOTSB:
+  '\\DOTSB': '\\dotsb',
+  '\\coprod': '\\dotsb',
+  '\\bigvee': '\\dotsb',
+  '\\bigwedge': '\\dotsb',
+  '\\biguplus': '\\dotsb',
+  '\\bigcap': '\\dotsb',
+  '\\bigcup': '\\dotsb',
+  '\\prod': '\\dotsb',
+  '\\sum': '\\dotsb',
+  '\\bigotimes': '\\dotsb',
+  '\\bigoplus': '\\dotsb',
+  '\\bigodot': '\\dotsb',
+  '\\bigsqcup': '\\dotsb',
+  '\\And': '\\dotsb',
+  '\\longrightarrow': '\\dotsb',
+  '\\Longrightarrow': '\\dotsb',
+  '\\longleftarrow': '\\dotsb',
+  '\\Longleftarrow': '\\dotsb',
+  '\\longleftrightarrow': '\\dotsb',
+  '\\Longleftrightarrow': '\\dotsb',
+  '\\mapsto': '\\dotsb',
+  '\\longmapsto': '\\dotsb',
+  '\\hookrightarrow': '\\dotsb',
+  '\\doteq': '\\dotsb',
+  // Symbols whose definition starts with \mathbin:
+  '\\mathbin': '\\dotsb',
+  // Symbols whose definition starts with \mathrel:
+  '\\mathrel': '\\dotsb',
+  '\\relbar': '\\dotsb',
+  '\\Relbar': '\\dotsb',
+  '\\xrightarrow': '\\dotsb',
+  '\\xleftarrow': '\\dotsb',
+  // Symbols whose definition starts with \DOTSI:
+  '\\DOTSI': '\\dotsi',
+  '\\int': '\\dotsi',
+  '\\oint': '\\dotsi',
+  '\\iint': '\\dotsi',
+  '\\iiint': '\\dotsi',
+  '\\iiiint': '\\dotsi',
+  '\\idotsint': '\\dotsi',
+  // Symbols whose definition starts with \DOTSX:
+  '\\DOTSX': '\\dotsx'
+};
+defineMacro("\\dots", function (context) {
+  // TODO: If used in text mode, should expand to \textellipsis.
+  // However, in KaTeX, \textellipsis and \ldots behave the same
+  // (in text mode), and it's unlikely we'd see any of the math commands
+  // that affect the behavior of \dots when in text mode.  So fine for now
+  // (until we support \ifmmode ... \else ... \fi).
+  let thedots = '\\dotso';
+  const next = context.expandAfterFuture().text;
+
+  if (next in dotsByToken) {
+    thedots = dotsByToken[next];
+  } else if (next.substr(0, 4) === '\\not') {
+    thedots = '\\dotsb';
+  } else if (next in symbols.math) {
+    if (utils.contains(['bin', 'rel'], symbols.math[next].group)) {
+      thedots = '\\dotsb';
+    }
+  }
+
+  return thedots;
+});
+const spaceAfterDots = {
+  // \rightdelim@ checks for the following:
+  ')': true,
+  ']': true,
+  '\\rbrack': true,
+  '\\}': true,
+  '\\rbrace': true,
+  '\\rangle': true,
+  '\\rceil': true,
+  '\\rfloor': true,
+  '\\rgroup': true,
+  '\\rmoustache': true,
+  '\\right': true,
+  '\\bigr': true,
+  '\\biggr': true,
+  '\\Bigr': true,
+  '\\Biggr': true,
+  // \extra@ also tests for the following:
+  '$': true,
+  // \extrap@ checks for the following:
+  ';': true,
+  '.': true,
+  ',': true
+};
+defineMacro("\\dotso", function (context) {
+  const next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\dotsc", function (context) {
+  const next = context.future().text; // \dotsc uses \extra@ but not \extrap@, instead specially checking for
+  // ';' and '.', but doesn't check for ','.
+
+  if (next in spaceAfterDots && next !== ',') {
+    return "\\ldots\\,";
+  } else {
+    return "\\ldots";
+  }
+});
+defineMacro("\\cdots", function (context) {
+  const next = context.future().text;
+
+  if (next in spaceAfterDots) {
+    return "\\@cdots\\,";
+  } else {
+    return "\\@cdots";
+  }
+});
+defineMacro("\\dotsb", "\\cdots");
+defineMacro("\\dotsm", "\\cdots");
+defineMacro("\\dotsi", "\\!\\cdots"); // amsmath doesn't actually define \dotsx, but \dots followed by a macro
+// starting with \DOTSX implies \dotso, and then \extra@ detects this case
+// and forces the added `\,`.
+
+defineMacro("\\dotsx", "\\ldots\\,"); // \let\DOTSI\relax
+// \let\DOTSB\relax
+// \let\DOTSX\relax
+
+defineMacro("\\DOTSI", "\\relax");
+defineMacro("\\DOTSB", "\\relax");
+defineMacro("\\DOTSX", "\\relax"); // Spacing, based on amsmath.sty's override of LaTeX defaults
+// \DeclareRobustCommand{\tmspace}[3]{%
+//   \ifmmode\mskip#1#2\else\kern#1#3\fi\relax}
+
+defineMacro("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"); // \renewcommand{\,}{\tmspace+\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\,", "\\tmspace+{3mu}{.1667em}"); // \let\thinspace\,
+
+defineMacro("\\thinspace", "\\,"); // \def\>{\mskip\medmuskip}
+// \renewcommand{\:}{\tmspace+\medmuskip{.2222em}}
+// TODO: \> and math mode of \: should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\>", "\\mskip{4mu}");
+defineMacro("\\:", "\\tmspace+{4mu}{.2222em}"); // \let\medspace\:
+
+defineMacro("\\medspace", "\\:"); // \renewcommand{\;}{\tmspace+\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip = 5mu plus 5mu
+
+defineMacro("\\;", "\\tmspace+{5mu}{.2777em}"); // \let\thickspace\;
+
+defineMacro("\\thickspace", "\\;"); // \renewcommand{\!}{\tmspace-\thinmuskip{.1667em}}
+// TODO: math mode should use \thinmuskip
+
+defineMacro("\\!", "\\tmspace-{3mu}{.1667em}"); // \let\negthinspace\!
+
+defineMacro("\\negthinspace", "\\!"); // \newcommand{\negmedspace}{\tmspace-\medmuskip{.2222em}}
+// TODO: math mode should use \medmuskip
+
+defineMacro("\\negmedspace", "\\tmspace-{4mu}{.2222em}"); // \newcommand{\negthickspace}{\tmspace-\thickmuskip{.2777em}}
+// TODO: math mode should use \thickmuskip
+
+defineMacro("\\negthickspace", "\\tmspace-{5mu}{.277em}"); // \def\enspace{\kern.5em }
+
+defineMacro("\\enspace", "\\kern.5em "); // \def\enskip{\hskip.5em\relax}
+
+defineMacro("\\enskip", "\\hskip.5em\\relax"); // \def\quad{\hskip1em\relax}
+
+defineMacro("\\quad", "\\hskip1em\\relax"); // \def\qquad{\hskip2em\relax}
+
+defineMacro("\\qquad", "\\hskip2em\\relax"); // \tag@in@display form of \tag
+
+defineMacro("\\tag", "\\@ifstar\\tag@literal\\tag@paren");
+defineMacro("\\tag@paren", "\\tag@literal{({#1})}");
+defineMacro("\\tag@literal", context => {
+  if (context.macros.get("\\df@tag")) {
+    throw new ParseError("Multiple \\tag");
+  }
+
+  return "\\gdef\\df@tag{\\text{#1}}";
+}); // \renewcommand{\bmod}{\nonscript\mskip-\medmuskip\mkern5mu\mathbin
+//   {\operator@font mod}\penalty900
+//   \mkern5mu\nonscript\mskip-\medmuskip}
+// \newcommand{\pod}[1]{\allowbreak
+//   \if@display\mkern18mu\else\mkern8mu\fi(#1)}
+// \renewcommand{\pmod}[1]{\pod{{\operator@font mod}\mkern6mu#1}}
+// \newcommand{\mod}[1]{\allowbreak\if@display\mkern18mu
+//   \else\mkern12mu\fi{\operator@font mod}\,\,#1}
+// TODO: math mode should use \medmuskip = 4mu plus 2mu minus 4mu
+
+defineMacro("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}" + "\\mathbin{\\rm mod}" + "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}");
+defineMacro("\\pod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)");
+defineMacro("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}");
+defineMacro("\\mod", "\\allowbreak" + "\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}" + "{\\rm mod}\\,\\,#1"); // \pmb    --   A simulation of bold.
+// The version in ambsy.sty works by typesetting three copies of the argument
+// with small offsets. We use two copies. We omit the vertical offset because
+// of rendering problems that makeVList encounters in Safari.
+
+defineMacro("\\pmb", "\\html@mathml{" + "\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}" + "{\\mathbf{#1}}"); //////////////////////////////////////////////////////////////////////
+// LaTeX source2e
+// \\ defaults to \newline, but changes to \cr within array environment
+
+defineMacro("\\\\", "\\newline"); // \def\TeX{T\kern-.1667em\lower.5ex\hbox{E}\kern-.125emX\@}
+// TODO: Doesn't normally work in math mode because \@ fails.  KaTeX doesn't
+// support \@ yet, so that's omitted, and we add \text so that the result
+// doesn't look funny in math mode.
+
+defineMacro("\\TeX", "\\textrm{\\html@mathml{" + "T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX" + "}{TeX}}"); // \DeclareRobustCommand{\LaTeX}{L\kern-.36em%
+//         {\sbox\z@ T%
+//          \vbox to\ht\z@{\hbox{\check@mathfonts
+//                               \fontsize\sf@size\z@
+//                               \math@fontsfalse\selectfont
+//                               A}%
+//                         \vss}%
+//         }%
+//         \kern-.15em%
+//         \TeX}
+// This code aligns the top of the A with the T (from the perspective of TeX's
+// boxes, though visually the A appears to extend above slightly).
+// We compute the corresponding \raisebox when A is rendered in \normalsize
+// \scriptstyle, which has a scale factor of 0.7 (see Options.js).
+
+const latexRaiseA = metricMap['Main-Regular']["T".charCodeAt(0)][1] - 0.7 * metricMap['Main-Regular']["A".charCodeAt(0)][1] + "em";
+defineMacro("\\LaTeX", "\\textrm{\\html@mathml{" + `L\\kern-.36em\\raisebox{${latexRaiseA}}{\\scriptstyle A}` + "\\kern-.15em\\TeX}{LaTeX}}"); // New KaTeX logo based on tweaking LaTeX logo
+
+defineMacro("\\KaTeX", "\\textrm{\\html@mathml{" + `K\\kern-.17em\\raisebox{${latexRaiseA}}{\\scriptstyle A}` + "\\kern-.15em\\TeX}{KaTeX}}"); // \DeclareRobustCommand\hspace{\@ifstar\@hspacer\@hspace}
+// \def\@hspace#1{\hskip  #1\relax}
+// \def\@hspacer#1{\vrule \@width\z@\nobreak
+//                 \hskip #1\hskip \z@skip}
+
+defineMacro("\\hspace", "\\@ifstar\\@hspacer\\@hspace");
+defineMacro("\\@hspace", "\\hskip #1\\relax");
+defineMacro("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"); //////////////////////////////////////////////////////////////////////
+// mathtools.sty
+//\providecommand\ordinarycolon{:}
+
+defineMacro("\\ordinarycolon", ":"); //\def\vcentcolon{\mathrel{\mathop\ordinarycolon}}
+//TODO(edemaine): Not yet centered. Fix via \raisebox or #726
+
+defineMacro("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"); // \providecommand*\dblcolon{\vcentcolon\mathrel{\mkern-.9mu}\vcentcolon}
+
+defineMacro("\\dblcolon", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}" + "{\\mathop{\\char\"2237}}"); // \providecommand*\coloneqq{\vcentcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\coloneqq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2254}}"); // ≔
+// \providecommand*\Coloneqq{\dblcolon\mathrel{\mkern-1.2mu}=}
+
+defineMacro("\\Coloneqq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}" + "{\\mathop{\\char\"2237\\char\"3d}}"); // \providecommand*\coloneq{\vcentcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\coloneq", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"3a\\char\"2212}}"); // \providecommand*\Coloneq{\dblcolon\mathrel{\mkern-1.2mu}\mathrel{-}}
+
+defineMacro("\\Coloneq", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}" + "{\\mathop{\\char\"2237\\char\"2212}}"); // \providecommand*\eqqcolon{=\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2255}}"); // ≕
+// \providecommand*\Eqqcolon{=\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqqcolon", "\\html@mathml{" + "\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"3d\\char\"2237}}"); // \providecommand*\eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\vcentcolon}
+
+defineMacro("\\eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}" + "{\\mathop{\\char\"2239}}"); // \providecommand*\Eqcolon{\mathrel{-}\mathrel{\mkern-1.2mu}\dblcolon}
+
+defineMacro("\\Eqcolon", "\\html@mathml{" + "\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}" + "{\\mathop{\\char\"2212\\char\"2237}}"); // \providecommand*\colonapprox{\vcentcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\colonapprox", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"3a\\char\"2248}}"); // \providecommand*\Colonapprox{\dblcolon\mathrel{\mkern-1.2mu}\approx}
+
+defineMacro("\\Colonapprox", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}" + "{\\mathop{\\char\"2237\\char\"2248}}"); // \providecommand*\colonsim{\vcentcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\colonsim", "\\html@mathml{" + "\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"3a\\char\"223c}}"); // \providecommand*\Colonsim{\dblcolon\mathrel{\mkern-1.2mu}\sim}
+
+defineMacro("\\Colonsim", "\\html@mathml{" + "\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}" + "{\\mathop{\\char\"2237\\char\"223c}}"); // Some Unicode characters are implemented with macros to mathtools functions.
+
+defineMacro("\u2237", "\\dblcolon"); // ::
+
+defineMacro("\u2239", "\\eqcolon"); // -:
+
+defineMacro("\u2254", "\\coloneqq"); // :=
+
+defineMacro("\u2255", "\\eqqcolon"); // =:
+
+defineMacro("\u2A74", "\\Coloneqq"); // ::=
+//////////////////////////////////////////////////////////////////////
+// colonequals.sty
+// Alternate names for mathtools's macros:
+
+defineMacro("\\ratio", "\\vcentcolon");
+defineMacro("\\coloncolon", "\\dblcolon");
+defineMacro("\\colonequals", "\\coloneqq");
+defineMacro("\\coloncolonequals", "\\Coloneqq");
+defineMacro("\\equalscolon", "\\eqqcolon");
+defineMacro("\\equalscoloncolon", "\\Eqqcolon");
+defineMacro("\\colonminus", "\\coloneq");
+defineMacro("\\coloncolonminus", "\\Coloneq");
+defineMacro("\\minuscolon", "\\eqcolon");
+defineMacro("\\minuscoloncolon", "\\Eqcolon"); // \colonapprox name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonapprox", "\\Colonapprox"); // \colonsim name is same in mathtools and colonequals.
+
+defineMacro("\\coloncolonsim", "\\Colonsim"); // Additional macros, implemented by analogy with mathtools definitions:
+
+defineMacro("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}");
+defineMacro("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}");
+defineMacro("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"); // Present in newtxmath, pxfonts and txfonts
+
+defineMacro("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220C}}");
+defineMacro("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}");
+defineMacro("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"); //////////////////////////////////////////////////////////////////////
+// MathML alternates for KaTeX glyphs in the Unicode private area
+
+defineMacro("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}");
+defineMacro("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}");
+defineMacro("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}");
+defineMacro("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}");
+defineMacro("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}");
+defineMacro("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}");
+defineMacro("\\nshortmid", "\\html@mathml{\\@nshortmid}{∤}");
+defineMacro("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{∦}");
+defineMacro("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}");
+defineMacro("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}");
+defineMacro("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{⊊}");
+defineMacro("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{⫋}");
+defineMacro("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{⊋}");
+defineMacro("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{⫌}");
+defineMacro("\\imath", "\\html@mathml{\\@imath}{\u0131}");
+defineMacro("\\jmath", "\\html@mathml{\\@jmath}{\u0237}"); //////////////////////////////////////////////////////////////////////
+// stmaryrd and semantic
+// The stmaryrd and semantic packages render the next four items by calling a
+// glyph. Those glyphs do not exist in the KaTeX fonts. Hence the macros.
+
+defineMacro("\\llbracket", "\\html@mathml{" + "\\mathopen{[\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u27e6}}");
+defineMacro("\\rrbracket", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu]}}" + "{\\mathclose{\\char`\u27e7}}");
+defineMacro("\u27e6", "\\llbracket"); // blackboard bold [
+
+defineMacro("\u27e7", "\\rrbracket"); // blackboard bold ]
+
+defineMacro("\\lBrace", "\\html@mathml{" + "\\mathopen{\\{\\mkern-3.2mu[}}" + "{\\mathopen{\\char`\u2983}}");
+defineMacro("\\rBrace", "\\html@mathml{" + "\\mathclose{]\\mkern-3.2mu\\}}}" + "{\\mathclose{\\char`\u2984}}");
+defineMacro("\u2983", "\\lBrace"); // blackboard bold {
+
+defineMacro("\u2984", "\\rBrace"); // blackboard bold }
+// TODO: Create variable sized versions of the last two items. I believe that
+// will require new font glyphs.
+// The stmaryrd function `\minuso` provides a "Plimsoll" symbol that
+// superimposes the characters \circ and \mathminus. Used in chemistry.
+
+defineMacro("\\minuso", "\\mathbin{\\html@mathml{" + "{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}" + "{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}" + "{\\char`⦵}}");
+defineMacro("⦵", "\\minuso"); //////////////////////////////////////////////////////////////////////
+// texvc.sty
+// The texvc package contains macros available in mediawiki pages.
+// We omit the functions deprecated at
+// https://en.wikipedia.org/wiki/Help:Displaying_a_formula#Deprecated_syntax
+// We also omit texvc's \O, which conflicts with \text{\O}
+
+defineMacro("\\darr", "\\downarrow");
+defineMacro("\\dArr", "\\Downarrow");
+defineMacro("\\Darr", "\\Downarrow");
+defineMacro("\\lang", "\\langle");
+defineMacro("\\rang", "\\rangle");
+defineMacro("\\uarr", "\\uparrow");
+defineMacro("\\uArr", "\\Uparrow");
+defineMacro("\\Uarr", "\\Uparrow");
+defineMacro("\\N", "\\mathbb{N}");
+defineMacro("\\R", "\\mathbb{R}");
+defineMacro("\\Z", "\\mathbb{Z}");
+defineMacro("\\alef", "\\aleph");
+defineMacro("\\alefsym", "\\aleph");
+defineMacro("\\Alpha", "\\mathrm{A}");
+defineMacro("\\Beta", "\\mathrm{B}");
+defineMacro("\\bull", "\\bullet");
+defineMacro("\\Chi", "\\mathrm{X}");
+defineMacro("\\clubs", "\\clubsuit");
+defineMacro("\\cnums", "\\mathbb{C}");
+defineMacro("\\Complex", "\\mathbb{C}");
+defineMacro("\\Dagger", "\\ddagger");
+defineMacro("\\diamonds", "\\diamondsuit");
+defineMacro("\\empty", "\\emptyset");
+defineMacro("\\Epsilon", "\\mathrm{E}");
+defineMacro("\\Eta", "\\mathrm{H}");
+defineMacro("\\exist", "\\exists");
+defineMacro("\\harr", "\\leftrightarrow");
+defineMacro("\\hArr", "\\Leftrightarrow");
+defineMacro("\\Harr", "\\Leftrightarrow");
+defineMacro("\\hearts", "\\heartsuit");
+defineMacro("\\image", "\\Im");
+defineMacro("\\infin", "\\infty");
+defineMacro("\\Iota", "\\mathrm{I}");
+defineMacro("\\isin", "\\in");
+defineMacro("\\Kappa", "\\mathrm{K}");
+defineMacro("\\larr", "\\leftarrow");
+defineMacro("\\lArr", "\\Leftarrow");
+defineMacro("\\Larr", "\\Leftarrow");
+defineMacro("\\lrarr", "\\leftrightarrow");
+defineMacro("\\lrArr", "\\Leftrightarrow");
+defineMacro("\\Lrarr", "\\Leftrightarrow");
+defineMacro("\\Mu", "\\mathrm{M}");
+defineMacro("\\natnums", "\\mathbb{N}");
+defineMacro("\\Nu", "\\mathrm{N}");
+defineMacro("\\Omicron", "\\mathrm{O}");
+defineMacro("\\plusmn", "\\pm");
+defineMacro("\\rarr", "\\rightarrow");
+defineMacro("\\rArr", "\\Rightarrow");
+defineMacro("\\Rarr", "\\Rightarrow");
+defineMacro("\\real", "\\Re");
+defineMacro("\\reals", "\\mathbb{R}");
+defineMacro("\\Reals", "\\mathbb{R}");
+defineMacro("\\Rho", "\\mathrm{P}");
+defineMacro("\\sdot", "\\cdot");
+defineMacro("\\sect", "\\S");
+defineMacro("\\spades", "\\spadesuit");
+defineMacro("\\sub", "\\subset");
+defineMacro("\\sube", "\\subseteq");
+defineMacro("\\supe", "\\supseteq");
+defineMacro("\\Tau", "\\mathrm{T}");
+defineMacro("\\thetasym", "\\vartheta"); // TODO: defineMacro("\\varcoppa", "\\\mbox{\\coppa}");
+
+defineMacro("\\weierp", "\\wp");
+defineMacro("\\Zeta", "\\mathrm{Z}"); //////////////////////////////////////////////////////////////////////
+// statmath.sty
+// https://ctan.math.illinois.edu/macros/latex/contrib/statmath/statmath.pdf
+
+defineMacro("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}");
+defineMacro("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}");
+defineMacro("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"); //////////////////////////////////////////////////////////////////////
+// braket.sty
+// http://ctan.math.washington.edu/tex-archive/macros/latex/contrib/braket/braket.pdf
+
+defineMacro("\\bra", "\\mathinner{\\langle{#1}|}");
+defineMacro("\\ket", "\\mathinner{|{#1}\\rangle}");
+defineMacro("\\braket", "\\mathinner{\\langle{#1}\\rangle}");
+defineMacro("\\Bra", "\\left\\langle#1\\right|");
+defineMacro("\\Ket", "\\left|#1\\right\\rangle"); // Custom Khan Academy colors, should be moved to an optional package
+
+defineMacro("\\blue", "\\textcolor{##6495ed}{#1}");
+defineMacro("\\orange", "\\textcolor{##ffa500}{#1}");
+defineMacro("\\pink", "\\textcolor{##ff00af}{#1}");
+defineMacro("\\red", "\\textcolor{##df0030}{#1}");
+defineMacro("\\green", "\\textcolor{##28ae7b}{#1}");
+defineMacro("\\gray", "\\textcolor{gray}{#1}");
+defineMacro("\\purple", "\\textcolor{##9d38bd}{#1}");
+defineMacro("\\blueA", "\\textcolor{##ccfaff}{#1}");
+defineMacro("\\blueB", "\\textcolor{##80f6ff}{#1}");
+defineMacro("\\blueC", "\\textcolor{##63d9ea}{#1}");
+defineMacro("\\blueD", "\\textcolor{##11accd}{#1}");
+defineMacro("\\blueE", "\\textcolor{##0c7f99}{#1}");
+defineMacro("\\tealA", "\\textcolor{##94fff5}{#1}");
+defineMacro("\\tealB", "\\textcolor{##26edd5}{#1}");
+defineMacro("\\tealC", "\\textcolor{##01d1c1}{#1}");
+defineMacro("\\tealD", "\\textcolor{##01a995}{#1}");
+defineMacro("\\tealE", "\\textcolor{##208170}{#1}");
+defineMacro("\\greenA", "\\textcolor{##b6ffb0}{#1}");
+defineMacro("\\greenB", "\\textcolor{##8af281}{#1}");
+defineMacro("\\greenC", "\\textcolor{##74cf70}{#1}");
+defineMacro("\\greenD", "\\textcolor{##1fab54}{#1}");
+defineMacro("\\greenE", "\\textcolor{##0d923f}{#1}");
+defineMacro("\\goldA", "\\textcolor{##ffd0a9}{#1}");
+defineMacro("\\goldB", "\\textcolor{##ffbb71}{#1}");
+defineMacro("\\goldC", "\\textcolor{##ff9c39}{#1}");
+defineMacro("\\goldD", "\\textcolor{##e07d10}{#1}");
+defineMacro("\\goldE", "\\textcolor{##a75a05}{#1}");
+defineMacro("\\redA", "\\textcolor{##fca9a9}{#1}");
+defineMacro("\\redB", "\\textcolor{##ff8482}{#1}");
+defineMacro("\\redC", "\\textcolor{##f9685d}{#1}");
+defineMacro("\\redD", "\\textcolor{##e84d39}{#1}");
+defineMacro("\\redE", "\\textcolor{##bc2612}{#1}");
+defineMacro("\\maroonA", "\\textcolor{##ffbde0}{#1}");
+defineMacro("\\maroonB", "\\textcolor{##ff92c6}{#1}");
+defineMacro("\\maroonC", "\\textcolor{##ed5fa6}{#1}");
+defineMacro("\\maroonD", "\\textcolor{##ca337c}{#1}");
+defineMacro("\\maroonE", "\\textcolor{##9e034e}{#1}");
+defineMacro("\\purpleA", "\\textcolor{##ddd7ff}{#1}");
+defineMacro("\\purpleB", "\\textcolor{##c6b9fc}{#1}");
+defineMacro("\\purpleC", "\\textcolor{##aa87ff}{#1}");
+defineMacro("\\purpleD", "\\textcolor{##7854ab}{#1}");
+defineMacro("\\purpleE", "\\textcolor{##543b78}{#1}");
+defineMacro("\\mintA", "\\textcolor{##f5f9e8}{#1}");
+defineMacro("\\mintB", "\\textcolor{##edf2df}{#1}");
+defineMacro("\\mintC", "\\textcolor{##e0e5cc}{#1}");
+defineMacro("\\grayA", "\\textcolor{##f6f7f7}{#1}");
+defineMacro("\\grayB", "\\textcolor{##f0f1f2}{#1}");
+defineMacro("\\grayC", "\\textcolor{##e3e5e6}{#1}");
+defineMacro("\\grayD", "\\textcolor{##d6d8da}{#1}");
+defineMacro("\\grayE", "\\textcolor{##babec2}{#1}");
+defineMacro("\\grayF", "\\textcolor{##888d93}{#1}");
+defineMacro("\\grayG", "\\textcolor{##626569}{#1}");
+defineMacro("\\grayH", "\\textcolor{##3b3e40}{#1}");
+defineMacro("\\grayI", "\\textcolor{##21242c}{#1}");
+defineMacro("\\kaBlue", "\\textcolor{##314453}{#1}");
+defineMacro("\\kaGreen", "\\textcolor{##71B307}{#1}");
+
+/**
+ * This file contains the “gullet” where macros are expanded
+ * until only non-macro tokens remain.
+ */
+// List of commands that act like macros but aren't defined as a macro,
+// function, or symbol.  Used in `isDefined`.
+const implicitCommands = {
+  "\\relax": true,
+  // MacroExpander.js
+  "^": true,
+  // Parser.js
+  "_": true,
+  // Parser.js
+  "\\limits": true,
+  // Parser.js
+  "\\nolimits": true // Parser.js
+
+};
+class MacroExpander {
+  constructor(input, settings, mode) {
+    this.settings = void 0;
+    this.expansionCount = void 0;
+    this.lexer = void 0;
+    this.macros = void 0;
+    this.stack = void 0;
+    this.mode = void 0;
+    this.settings = settings;
+    this.expansionCount = 0;
+    this.feed(input); // Make new global namespace
+
+    this.macros = new Namespace(builtinMacros, settings.macros);
+    this.mode = mode;
+    this.stack = []; // contains tokens in REVERSE order
+  }
+  /**
+   * Feed a new input string to the same MacroExpander
+   * (with existing macros etc.).
+   */
+
+
+  feed(input) {
+    this.lexer = new Lexer(input, this.settings);
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+
+
+  switchMode(newMode) {
+    this.mode = newMode;
+  }
+  /**
+   * Start a new group nesting within all namespaces.
+   */
+
+
+  beginGroup() {
+    this.macros.beginGroup();
+  }
+  /**
+   * End current group nesting within all namespaces.
+   */
+
+
+  endGroup() {
+    this.macros.endGroup();
+  }
+  /**
+   * Returns the topmost token on the stack, without expanding it.
+   * Similar in behavior to TeX's `\futurelet`.
+   */
+
+
+  future() {
+    if (this.stack.length === 0) {
+      this.pushToken(this.lexer.lex());
+    }
+
+    return this.stack[this.stack.length - 1];
+  }
+  /**
+   * Remove and return the next unexpanded token.
+   */
+
+
+  popToken() {
+    this.future(); // ensure non-empty stack
+
+    return this.stack.pop();
+  }
+  /**
+   * Add a given token to the token stack.  In particular, this get be used
+   * to put back a token returned from one of the other methods.
+   */
+
+
+  pushToken(token) {
+    this.stack.push(token);
+  }
+  /**
+   * Append an array of tokens to the token stack.
+   */
+
+
+  pushTokens(tokens) {
+    this.stack.push(...tokens);
+  }
+  /**
+   * Consume all following space tokens, without expansion.
+   */
+
+
+  consumeSpaces() {
+    for (;;) {
+      const token = this.future();
+
+      if (token.text === " ") {
+        this.stack.pop();
+      } else {
+        break;
+      }
+    }
+  }
+  /**
+   * Consume the specified number of arguments from the token stream,
+   * and return the resulting array of arguments.
+   */
+
+
+  consumeArgs(numArgs) {
+    const args = []; // obtain arguments, either single token or balanced {…} group
+
+    for (let i = 0; i < numArgs; ++i) {
+      this.consumeSpaces(); // ignore spaces before each argument
+
+      const startOfArg = this.popToken();
+
+      if (startOfArg.text === "{") {
+        const arg = [];
+        let depth = 1;
+
+        while (depth !== 0) {
+          const tok = this.popToken();
+          arg.push(tok);
+
+          if (tok.text === "{") {
+            ++depth;
+          } else if (tok.text === "}") {
+            --depth;
+          } else if (tok.text === "EOF") {
+            throw new ParseError("End of input in macro argument", startOfArg);
+          }
+        }
+
+        arg.pop(); // remove last }
+
+        arg.reverse(); // like above, to fit in with stack order
+
+        args[i] = arg;
+      } else if (startOfArg.text === "EOF") {
+        throw new ParseError("End of input expecting macro argument");
+      } else {
+        args[i] = [startOfArg];
+      }
+    }
+
+    return args;
+  }
+  /**
+   * Expand the next token only once if possible.
+   *
+   * If the token is expanded, the resulting tokens will be pushed onto
+   * the stack in reverse order and will be returned as an array,
+   * also in reverse order.
+   *
+   * If not, the next token will be returned without removing it
+   * from the stack.  This case can be detected by a `Token` return value
+   * instead of an `Array` return value.
+   *
+   * In either case, the next token will be on the top of the stack,
+   * or the stack will be empty.
+   *
+   * Used to implement `expandAfterFuture` and `expandNextToken`.
+   *
+   * At the moment, macro expansion doesn't handle delimited macros,
+   * i.e. things like those defined by \def\foo#1\end{…}.
+   * See the TeX book page 202ff. for details on how those should behave.
+   *
+   * If expandableOnly, only expandable tokens are expanded and
+   * an undefined control sequence results in an error.
+   */
+
+
+  expandOnce(expandableOnly) {
+    const topToken = this.popToken();
+    const name = topToken.text;
+    const expansion = !topToken.noexpand ? this._getExpansion(name) : null;
+
+    if (expansion == null || expandableOnly && expansion.unexpandable) {
+      if (expandableOnly && expansion == null && name[0] === "\\" && !this.isDefined(name)) {
+        throw new ParseError("Undefined control sequence: " + name);
+      }
+
+      this.pushToken(topToken);
+      return topToken;
+    }
+
+    this.expansionCount++;
+
+    if (this.expansionCount > this.settings.maxExpand) {
+      throw new ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting");
+    }
+
+    let tokens = expansion.tokens;
+
+    if (expansion.numArgs) {
+      const args = this.consumeArgs(expansion.numArgs); // paste arguments in place of the placeholders
+
+      tokens = tokens.slice(); // make a shallow copy
+
+      for (let i = tokens.length - 1; i >= 0; --i) {
+        let tok = tokens[i];
+
+        if (tok.text === "#") {
+          if (i === 0) {
+            throw new ParseError("Incomplete placeholder at end of macro body", tok);
+          }
+
+          tok = tokens[--i]; // next token on stack
+
+          if (tok.text === "#") {
+            // ## → #
+            tokens.splice(i + 1, 1); // drop first #
+          } else if (/^[1-9]$/.test(tok.text)) {
+            // replace the placeholder with the indicated argument
+            tokens.splice(i, 2, ...args[+tok.text - 1]);
+          } else {
+            throw new ParseError("Not a valid argument number", tok);
+          }
+        }
+      }
+    } // Concatenate expansion onto top of stack.
+
+
+    this.pushTokens(tokens);
+    return tokens;
+  }
+  /**
+   * Expand the next token only once (if possible), and return the resulting
+   * top token on the stack (without removing anything from the stack).
+   * Similar in behavior to TeX's `\expandafter\futurelet`.
+   * Equivalent to expandOnce() followed by future().
+   */
+
+
+  expandAfterFuture() {
+    this.expandOnce();
+    return this.future();
+  }
+  /**
+   * Recursively expand first token, then return first non-expandable token.
+   */
+
+
+  expandNextToken() {
+    for (;;) {
+      const expanded = this.expandOnce(); // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token) {
+        // \relax stops the expansion, but shouldn't get returned (a
+        // null return value couldn't get implemented as a function).
+        // the token after \noexpand is interpreted as if its meaning
+        // were ‘\relax’
+        if (expanded.text === "\\relax" || expanded.treatAsRelax) {
+          this.stack.pop();
+        } else {
+          return this.stack.pop(); // === expanded
+        }
+      }
+    } // Flow unable to figure out that this pathway is impossible.
+    // https://github.com/facebook/flow/issues/4808
+
+
+    throw new Error(); // eslint-disable-line no-unreachable
+  }
+  /**
+   * Fully expand the given macro name and return the resulting list of
+   * tokens, or return `undefined` if no such macro is defined.
+   */
+
+
+  expandMacro(name) {
+    return this.macros.has(name) ? this.expandTokens([new Token(name)]) : undefined;
+  }
+  /**
+   * Fully expand the given token stream and return the resulting list of tokens
+   */
+
+
+  expandTokens(tokens) {
+    const output = [];
+    const oldStackLength = this.stack.length;
+    this.pushTokens(tokens);
+
+    while (this.stack.length > oldStackLength) {
+      const expanded = this.expandOnce(true); // expand only expandable tokens
+      // expandOnce returns Token if and only if it's fully expanded.
+
+      if (expanded instanceof Token) {
+        if (expanded.treatAsRelax) {
+          // the expansion of \noexpand is the token itself
+          expanded.noexpand = false;
+          expanded.treatAsRelax = false;
+        }
+
+        output.push(this.stack.pop());
+      }
+    }
+
+    return output;
+  }
+  /**
+   * Fully expand the given macro name and return the result as a string,
+   * or return `undefined` if no such macro is defined.
+   */
+
+
+  expandMacroAsText(name) {
+    const tokens = this.expandMacro(name);
+
+    if (tokens) {
+      return tokens.map(token => token.text).join("");
+    } else {
+      return tokens;
+    }
+  }
+  /**
+   * Returns the expanded macro as a reversed array of tokens and a macro
+   * argument count.  Or returns `null` if no such macro.
+   */
+
+
+  _getExpansion(name) {
+    const definition = this.macros.get(name);
+
+    if (definition == null) {
+      // mainly checking for undefined here
+      return definition;
+    }
+
+    const expansion = typeof definition === "function" ? definition(this) : definition;
+
+    if (typeof expansion === "string") {
+      let numArgs = 0;
+
+      if (expansion.indexOf("#") !== -1) {
+        const stripped = expansion.replace(/##/g, "");
+
+        while (stripped.indexOf("#" + (numArgs + 1)) !== -1) {
+          ++numArgs;
+        }
+      }
+
+      const bodyLexer = new Lexer(expansion, this.settings);
+      const tokens = [];
+      let tok = bodyLexer.lex();
+
+      while (tok.text !== "EOF") {
+        tokens.push(tok);
+        tok = bodyLexer.lex();
+      }
+
+      tokens.reverse(); // to fit in with stack using push and pop
+
+      const expanded = {
+        tokens,
+        numArgs
+      };
+      return expanded;
+    }
+
+    return expansion;
+  }
+  /**
+   * Determine whether a command is currently "defined" (has some
+   * functionality), meaning that it's a macro (in the current group),
+   * a function, a symbol, or one of the special commands listed in
+   * `implicitCommands`.
+   */
+
+
+  isDefined(name) {
+    return this.macros.has(name) || functions.hasOwnProperty(name) || symbols.math.hasOwnProperty(name) || symbols.text.hasOwnProperty(name) || implicitCommands.hasOwnProperty(name);
+  }
+  /**
+   * Determine whether a command is expandable.
+   */
+
+
+  isExpandable(name) {
+    const macro = this.macros.get(name);
+    return macro != null ? typeof macro === "string" || typeof macro === "function" || !macro.unexpandable // TODO(ylem): #2085
+    : functions.hasOwnProperty(name)
+    /* && !functions[name].primitive*/
+    ;
+  }
+
+}
+
+/* eslint no-constant-condition:0 */
+
+const unicodeAccents = {
+  "́": {
+    "text": "\\'",
+    "math": "\\acute"
+  },
+  "̀": {
+    "text": "\\`",
+    "math": "\\grave"
+  },
+  "̈": {
+    "text": "\\\"",
+    "math": "\\ddot"
+  },
+  "̃": {
+    "text": "\\~",
+    "math": "\\tilde"
+  },
+  "̄": {
+    "text": "\\=",
+    "math": "\\bar"
+  },
+  "̆": {
+    "text": "\\u",
+    "math": "\\breve"
+  },
+  "̌": {
+    "text": "\\v",
+    "math": "\\check"
+  },
+  "̂": {
+    "text": "\\^",
+    "math": "\\hat"
+  },
+  "̇": {
+    "text": "\\.",
+    "math": "\\dot"
+  },
+  "̊": {
+    "text": "\\r",
+    "math": "\\mathring"
+  },
+  "̋": {
+    "text": "\\H"
+  }
+};
+const unicodeSymbols = {
+  "á": "á",
+  "à": "à",
+  "ä": "ä",
+  "ǟ": "ǟ",
+  "ã": "ã",
+  "ā": "ā",
+  "ă": "ă",
+  "ắ": "ắ",
+  "ằ": "ằ",
+  "ẵ": "ẵ",
+  "ǎ": "ǎ",
+  "â": "â",
+  "ấ": "ấ",
+  "ầ": "ầ",
+  "ẫ": "ẫ",
+  "ȧ": "ȧ",
+  "ǡ": "ǡ",
+  "å": "å",
+  "ǻ": "ǻ",
+  "ḃ": "ḃ",
+  "ć": "ć",
+  "č": "č",
+  "ĉ": "ĉ",
+  "ċ": "ċ",
+  "ď": "ď",
+  "ḋ": "ḋ",
+  "é": "é",
+  "è": "è",
+  "ë": "ë",
+  "ẽ": "ẽ",
+  "ē": "ē",
+  "ḗ": "ḗ",
+  "ḕ": "ḕ",
+  "ĕ": "ĕ",
+  "ě": "ě",
+  "ê": "ê",
+  "ế": "ế",
+  "ề": "ề",
+  "ễ": "ễ",
+  "ė": "ė",
+  "ḟ": "ḟ",
+  "ǵ": "ǵ",
+  "ḡ": "ḡ",
+  "ğ": "ğ",
+  "ǧ": "ǧ",
+  "ĝ": "ĝ",
+  "ġ": "ġ",
+  "ḧ": "ḧ",
+  "ȟ": "ȟ",
+  "ĥ": "ĥ",
+  "ḣ": "ḣ",
+  "í": "í",
+  "ì": "ì",
+  "ï": "ï",
+  "ḯ": "ḯ",
+  "ĩ": "ĩ",
+  "ī": "ī",
+  "ĭ": "ĭ",
+  "ǐ": "ǐ",
+  "î": "î",
+  "ǰ": "ǰ",
+  "ĵ": "ĵ",
+  "ḱ": "ḱ",
+  "ǩ": "ǩ",
+  "ĺ": "ĺ",
+  "ľ": "ľ",
+  "ḿ": "ḿ",
+  "ṁ": "ṁ",
+  "ń": "ń",
+  "ǹ": "ǹ",
+  "ñ": "ñ",
+  "ň": "ň",
+  "ṅ": "ṅ",
+  "ó": "ó",
+  "ò": "ò",
+  "ö": "ö",
+  "ȫ": "ȫ",
+  "õ": "õ",
+  "ṍ": "ṍ",
+  "ṏ": "ṏ",
+  "ȭ": "ȭ",
+  "ō": "ō",
+  "ṓ": "ṓ",
+  "ṑ": "ṑ",
+  "ŏ": "ŏ",
+  "ǒ": "ǒ",
+  "ô": "ô",
+  "ố": "ố",
+  "ồ": "ồ",
+  "ỗ": "ỗ",
+  "ȯ": "ȯ",
+  "ȱ": "ȱ",
+  "ő": "ő",
+  "ṕ": "ṕ",
+  "ṗ": "ṗ",
+  "ŕ": "ŕ",
+  "ř": "ř",
+  "ṙ": "ṙ",
+  "ś": "ś",
+  "ṥ": "ṥ",
+  "š": "š",
+  "ṧ": "ṧ",
+  "ŝ": "ŝ",
+  "ṡ": "ṡ",
+  "ẗ": "ẗ",
+  "ť": "ť",
+  "ṫ": "ṫ",
+  "ú": "ú",
+  "ù": "ù",
+  "ü": "ü",
+  "ǘ": "ǘ",
+  "ǜ": "ǜ",
+  "ǖ": "ǖ",
+  "ǚ": "ǚ",
+  "ũ": "ũ",
+  "ṹ": "ṹ",
+  "ū": "ū",
+  "ṻ": "ṻ",
+  "ŭ": "ŭ",
+  "ǔ": "ǔ",
+  "û": "û",
+  "ů": "ů",
+  "ű": "ű",
+  "ṽ": "ṽ",
+  "ẃ": "ẃ",
+  "ẁ": "ẁ",
+  "ẅ": "ẅ",
+  "ŵ": "ŵ",
+  "ẇ": "ẇ",
+  "ẘ": "ẘ",
+  "ẍ": "ẍ",
+  "ẋ": "ẋ",
+  "ý": "ý",
+  "ỳ": "ỳ",
+  "ÿ": "ÿ",
+  "ỹ": "ỹ",
+  "ȳ": "ȳ",
+  "ŷ": "ŷ",
+  "ẏ": "ẏ",
+  "ẙ": "ẙ",
+  "ź": "ź",
+  "ž": "ž",
+  "ẑ": "ẑ",
+  "ż": "ż",
+  "Á": "Á",
+  "À": "À",
+  "Ä": "Ä",
+  "Ǟ": "Ǟ",
+  "Ã": "Ã",
+  "Ā": "Ā",
+  "Ă": "Ă",
+  "Ắ": "Ắ",
+  "Ằ": "Ằ",
+  "Ẵ": "Ẵ",
+  "Ǎ": "Ǎ",
+  "Â": "Â",
+  "Ấ": "Ấ",
+  "Ầ": "Ầ",
+  "Ẫ": "Ẫ",
+  "Ȧ": "Ȧ",
+  "Ǡ": "Ǡ",
+  "Å": "Å",
+  "Ǻ": "Ǻ",
+  "Ḃ": "Ḃ",
+  "Ć": "Ć",
+  "Č": "Č",
+  "Ĉ": "Ĉ",
+  "Ċ": "Ċ",
+  "Ď": "Ď",
+  "Ḋ": "Ḋ",
+  "É": "É",
+  "È": "È",
+  "Ë": "Ë",
+  "Ẽ": "Ẽ",
+  "Ē": "Ē",
+  "Ḗ": "Ḗ",
+  "Ḕ": "Ḕ",
+  "Ĕ": "Ĕ",
+  "Ě": "Ě",
+  "Ê": "Ê",
+  "Ế": "Ế",
+  "Ề": "Ề",
+  "Ễ": "Ễ",
+  "Ė": "Ė",
+  "Ḟ": "Ḟ",
+  "Ǵ": "Ǵ",
+  "Ḡ": "Ḡ",
+  "Ğ": "Ğ",
+  "Ǧ": "Ǧ",
+  "Ĝ": "Ĝ",
+  "Ġ": "Ġ",
+  "Ḧ": "Ḧ",
+  "Ȟ": "Ȟ",
+  "Ĥ": "Ĥ",
+  "Ḣ": "Ḣ",
+  "Í": "Í",
+  "Ì": "Ì",
+  "Ï": "Ï",
+  "Ḯ": "Ḯ",
+  "Ĩ": "Ĩ",
+  "Ī": "Ī",
+  "Ĭ": "Ĭ",
+  "Ǐ": "Ǐ",
+  "Î": "Î",
+  "İ": "İ",
+  "Ĵ": "Ĵ",
+  "Ḱ": "Ḱ",
+  "Ǩ": "Ǩ",
+  "Ĺ": "Ĺ",
+  "Ľ": "Ľ",
+  "Ḿ": "Ḿ",
+  "Ṁ": "Ṁ",
+  "Ń": "Ń",
+  "Ǹ": "Ǹ",
+  "Ñ": "Ñ",
+  "Ň": "Ň",
+  "Ṅ": "Ṅ",
+  "Ó": "Ó",
+  "Ò": "Ò",
+  "Ö": "Ö",
+  "Ȫ": "Ȫ",
+  "Õ": "Õ",
+  "Ṍ": "Ṍ",
+  "Ṏ": "Ṏ",
+  "Ȭ": "Ȭ",
+  "Ō": "Ō",
+  "Ṓ": "Ṓ",
+  "Ṑ": "Ṑ",
+  "Ŏ": "Ŏ",
+  "Ǒ": "Ǒ",
+  "Ô": "Ô",
+  "Ố": "Ố",
+  "Ồ": "Ồ",
+  "Ỗ": "Ỗ",
+  "Ȯ": "Ȯ",
+  "Ȱ": "Ȱ",
+  "Ő": "Ő",
+  "Ṕ": "Ṕ",
+  "Ṗ": "Ṗ",
+  "Ŕ": "Ŕ",
+  "Ř": "Ř",
+  "Ṙ": "Ṙ",
+  "Ś": "Ś",
+  "Ṥ": "Ṥ",
+  "Š": "Š",
+  "Ṧ": "Ṧ",
+  "Ŝ": "Ŝ",
+  "Ṡ": "Ṡ",
+  "Ť": "Ť",
+  "Ṫ": "Ṫ",
+  "Ú": "Ú",
+  "Ù": "Ù",
+  "Ü": "Ü",
+  "Ǘ": "Ǘ",
+  "Ǜ": "Ǜ",
+  "Ǖ": "Ǖ",
+  "Ǚ": "Ǚ",
+  "Ũ": "Ũ",
+  "Ṹ": "Ṹ",
+  "Ū": "Ū",
+  "Ṻ": "Ṻ",
+  "Ŭ": "Ŭ",
+  "Ǔ": "Ǔ",
+  "Û": "Û",
+  "Ů": "Ů",
+  "Ű": "Ű",
+  "Ṽ": "Ṽ",
+  "Ẃ": "Ẃ",
+  "Ẁ": "Ẁ",
+  "Ẅ": "Ẅ",
+  "Ŵ": "Ŵ",
+  "Ẇ": "Ẇ",
+  "Ẍ": "Ẍ",
+  "Ẋ": "Ẋ",
+  "Ý": "Ý",
+  "Ỳ": "Ỳ",
+  "Ÿ": "Ÿ",
+  "Ỹ": "Ỹ",
+  "Ȳ": "Ȳ",
+  "Ŷ": "Ŷ",
+  "Ẏ": "Ẏ",
+  "Ź": "Ź",
+  "Ž": "Ž",
+  "Ẑ": "Ẑ",
+  "Ż": "Ż",
+  "ά": "ά",
+  "ὰ": "ὰ",
+  "ᾱ": "ᾱ",
+  "ᾰ": "ᾰ",
+  "έ": "έ",
+  "ὲ": "ὲ",
+  "ή": "ή",
+  "ὴ": "ὴ",
+  "ί": "ί",
+  "ὶ": "ὶ",
+  "ϊ": "ϊ",
+  "ΐ": "ΐ",
+  "ῒ": "ῒ",
+  "ῑ": "ῑ",
+  "ῐ": "ῐ",
+  "ό": "ό",
+  "ὸ": "ὸ",
+  "ύ": "ύ",
+  "ὺ": "ὺ",
+  "ϋ": "ϋ",
+  "ΰ": "ΰ",
+  "ῢ": "ῢ",
+  "ῡ": "ῡ",
+  "ῠ": "ῠ",
+  "ώ": "ώ",
+  "ὼ": "ὼ",
+  "Ύ": "Ύ",
+  "Ὺ": "Ὺ",
+  "Ϋ": "Ϋ",
+  "Ῡ": "Ῡ",
+  "Ῠ": "Ῠ",
+  "Ώ": "Ώ",
+  "Ὼ": "Ὼ"
+};
+
+/**
+ * This file contains the parser used to parse out a TeX expression from the
+ * input. Since TeX isn't context-free, standard parsers don't work particularly
+ * well.
+ *
+ * The strategy of this parser is as such:
+ *
+ * The main functions (the `.parse...` ones) take a position in the current
+ * parse string to parse tokens from. The lexer (found in Lexer.js, stored at
+ * this.gullet.lexer) also supports pulling out tokens at arbitrary places. When
+ * individual tokens are needed at a position, the lexer is called to pull out a
+ * token, which is then used.
+ *
+ * The parser has a property called "mode" indicating the mode that
+ * the parser is currently in. Currently it has to be one of "math" or
+ * "text", which denotes whether the current environment is a math-y
+ * one or a text-y one (e.g. inside \text). Currently, this serves to
+ * limit the functions which can be used in text mode.
+ *
+ * The main functions then return an object which contains the useful data that
+ * was parsed at its given point, and a new position at the end of the parsed
+ * data. The main functions can call each other and continue the parsing by
+ * using the returned position as a new starting point.
+ *
+ * There are also extra `.handle...` functions, which pull out some reused
+ * functionality into self-contained functions.
+ *
+ * The functions return ParseNodes.
+ */
+class Parser {
+  constructor(input, settings) {
+    this.mode = void 0;
+    this.gullet = void 0;
+    this.settings = void 0;
+    this.leftrightDepth = void 0;
+    this.nextToken = void 0;
+    // Start in math mode
+    this.mode = "math"; // Create a new macro expander (gullet) and (indirectly via that) also a
+    // new lexer (mouth) for this parser (stomach, in the language of TeX)
+
+    this.gullet = new MacroExpander(input, settings, this.mode); // Store the settings for use in parsing
+
+    this.settings = settings; // Count leftright depth (for \middle errors)
+
+    this.leftrightDepth = 0;
+  }
+  /**
+   * Checks a result to make sure it has the right type, and throws an
+   * appropriate error otherwise.
+   */
+
+
+  expect(text, consume) {
+    if (consume === void 0) {
+      consume = true;
+    }
+
+    if (this.fetch().text !== text) {
+      throw new ParseError(`Expected '${text}', got '${this.fetch().text}'`, this.fetch());
+    }
+
+    if (consume) {
+      this.consume();
+    }
+  }
+  /**
+   * Discards the current lookahead token, considering it consumed.
+   */
+
+
+  consume() {
+    this.nextToken = null;
+  }
+  /**
+   * Return the current lookahead token, or if there isn't one (at the
+   * beginning, or if the previous lookahead token was consume()d),
+   * fetch the next token as the new lookahead token and return it.
+   */
+
+
+  fetch() {
+    if (this.nextToken == null) {
+      this.nextToken = this.gullet.expandNextToken();
+    }
+
+    return this.nextToken;
+  }
+  /**
+   * Switches between "text" and "math" modes.
+   */
+
+
+  switchMode(newMode) {
+    this.mode = newMode;
+    this.gullet.switchMode(newMode);
+  }
+  /**
+   * Main parsing function, which parses an entire input.
+   */
+
+
+  parse() {
+    if (!this.settings.globalGroup) {
+      // Create a group namespace for the math expression.
+      // (LaTeX creates a new group for every $...$, $$...$$, \[...\].)
+      this.gullet.beginGroup();
+    } // Use old \color behavior (same as LaTeX's \textcolor) if requested.
+    // We do this within the group for the math expression, so it doesn't
+    // pollute settings.macros.
+
+
+    if (this.settings.colorIsTextColor) {
+      this.gullet.macros.set("\\color", "\\textcolor");
+    } // Try to parse the input
+
+
+    const parse = this.parseExpression(false); // If we succeeded, make sure there's an EOF at the end
+
+    this.expect("EOF"); // End the group namespace for the expression
+
+    if (!this.settings.globalGroup) {
+      this.gullet.endGroup();
+    }
+
+    return parse;
+  }
+
+  parseExpression(breakOnInfix, breakOnTokenText) {
+    const body = []; // Keep adding atoms to the body until we can't parse any more atoms (either
+    // we reached the end, a }, or a \right)
+
+    while (true) {
+      // Ignore spaces in math mode
+      if (this.mode === "math") {
+        this.consumeSpaces();
+      }
+
+      const lex = this.fetch();
+
+      if (Parser.endOfExpression.indexOf(lex.text) !== -1) {
+        break;
+      }
+
+      if (breakOnTokenText && lex.text === breakOnTokenText) {
+        break;
+      }
+
+      if (breakOnInfix && functions[lex.text] && functions[lex.text].infix) {
+        break;
+      }
+
+      const atom = this.parseAtom(breakOnTokenText);
+
+      if (!atom) {
+        break;
+      } else if (atom.type === "internal") {
+        continue;
+      }
+
+      body.push(atom);
+    }
+
+    if (this.mode === "text") {
+      this.formLigatures(body);
+    }
+
+    return this.handleInfixNodes(body);
+  }
+  /**
+   * Rewrites infix operators such as \over with corresponding commands such
+   * as \frac.
+   *
+   * There can only be one infix operator per group.  If there's more than one
+   * then the expression is ambiguous.  This can be resolved by adding {}.
+   */
+
+
+  handleInfixNodes(body) {
+    let overIndex = -1;
+    let funcName;
+
+    for (let i = 0; i < body.length; i++) {
+      if (body[i].type === "infix") {
+        if (overIndex !== -1) {
+          throw new ParseError("only one infix operator per group", body[i].token);
+        }
+
+        overIndex = i;
+        funcName = body[i].replaceWith;
+      }
+    }
+
+    if (overIndex !== -1 && funcName) {
+      let numerNode;
+      let denomNode;
+      const numerBody = body.slice(0, overIndex);
+      const denomBody = body.slice(overIndex + 1);
+
+      if (numerBody.length === 1 && numerBody[0].type === "ordgroup") {
+        numerNode = numerBody[0];
+      } else {
+        numerNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: numerBody
+        };
+      }
+
+      if (denomBody.length === 1 && denomBody[0].type === "ordgroup") {
+        denomNode = denomBody[0];
+      } else {
+        denomNode = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: denomBody
+        };
+      }
+
+      let node;
+
+      if (funcName === "\\\\abovefrac") {
+        node = this.callFunction(funcName, [numerNode, body[overIndex], denomNode], []);
+      } else {
+        node = this.callFunction(funcName, [numerNode, denomNode], []);
+      }
+
+      return [node];
+    } else {
+      return body;
+    }
+  } // The greediness of a superscript or subscript
+
+
+  /**
+   * Handle a subscript or superscript with nice errors.
+   */
+  handleSupSubscript(name) {
+    const symbolToken = this.fetch();
+    const symbol = symbolToken.text;
+    this.consume();
+    const group = this.parseGroup(name, false, Parser.SUPSUB_GREEDINESS, undefined, undefined, true); // ignore spaces before sup/subscript argument
+
+    if (!group) {
+      throw new ParseError("Expected group after '" + symbol + "'", symbolToken);
+    }
+
+    return group;
+  }
+  /**
+   * Converts the textual input of an unsupported command into a text node
+   * contained within a color node whose color is determined by errorColor
+   */
+
+
+  formatUnsupportedCmd(text) {
+    const textordArray = [];
+
+    for (let i = 0; i < text.length; i++) {
+      textordArray.push({
+        type: "textord",
+        mode: "text",
+        text: text[i]
+      });
+    }
+
+    const textNode = {
+      type: "text",
+      mode: this.mode,
+      body: textordArray
+    };
+    const colorNode = {
+      type: "color",
+      mode: this.mode,
+      color: this.settings.errorColor,
+      body: [textNode]
+    };
+    return colorNode;
+  }
+  /**
+   * Parses a group with optional super/subscripts.
+   */
+
+
+  parseAtom(breakOnTokenText) {
+    // The body of an atom is an implicit group, so that things like
+    // \left(x\right)^2 work correctly.
+    const base = this.parseGroup("atom", false, null, breakOnTokenText); // In text mode, we don't have superscripts or subscripts
+
+    if (this.mode === "text") {
+      return base;
+    } // Note that base may be empty (i.e. null) at this point.
+
+
+    let superscript;
+    let subscript;
+
+    while (true) {
+      // Guaranteed in math mode, so eat any spaces first.
+      this.consumeSpaces(); // Lex the first token
+
+      const lex = this.fetch();
+
+      if (lex.text === "\\limits" || lex.text === "\\nolimits") {
+        // We got a limit control
+        if (base && base.type === "op") {
+          const limits = lex.text === "\\limits";
+          base.limits = limits;
+          base.alwaysHandleSupSub = true;
+        } else if (base && base.type === "operatorname" && base.alwaysHandleSupSub) {
+          const limits = lex.text === "\\limits";
+          base.limits = limits;
+        } else {
+          throw new ParseError("Limit controls must follow a math operator", lex);
+        }
+
+        this.consume();
+      } else if (lex.text === "^") {
+        // We got a superscript start
+        if (superscript) {
+          throw new ParseError("Double superscript", lex);
+        }
+
+        superscript = this.handleSupSubscript("superscript");
+      } else if (lex.text === "_") {
+        // We got a subscript start
+        if (subscript) {
+          throw new ParseError("Double subscript", lex);
+        }
+
+        subscript = this.handleSupSubscript("subscript");
+      } else if (lex.text === "'") {
+        // We got a prime
+        if (superscript) {
+          throw new ParseError("Double superscript", lex);
+        }
+
+        const prime = {
+          type: "textord",
+          mode: this.mode,
+          text: "\\prime"
+        }; // Many primes can be grouped together, so we handle this here
+
+        const primes = [prime];
+        this.consume(); // Keep lexing tokens until we get something that's not a prime
+
+        while (this.fetch().text === "'") {
+          // For each one, add another prime to the list
+          primes.push(prime);
+          this.consume();
+        } // If there's a superscript following the primes, combine that
+        // superscript in with the primes.
+
+
+        if (this.fetch().text === "^") {
+          primes.push(this.handleSupSubscript("superscript"));
+        } // Put everything into an ordgroup as the superscript
+
+
+        superscript = {
+          type: "ordgroup",
+          mode: this.mode,
+          body: primes
+        };
+      } else {
+        // If it wasn't ^, _, or ', stop parsing super/subscripts
+        break;
+      }
+    } // Base must be set if superscript or subscript are set per logic above,
+    // but need to check here for type check to pass.
+
+
+    if (superscript || subscript) {
+      // If we got either a superscript or subscript, create a supsub
+      return {
+        type: "supsub",
+        mode: this.mode,
+        base: base,
+        sup: superscript,
+        sub: subscript
+      };
+    } else {
+      // Otherwise return the original body
+      return base;
+    }
+  }
+  /**
+   * Parses an entire function, including its base and all of its arguments.
+   */
+
+
+  parseFunction(breakOnTokenText, name, // For error reporting.
+  greediness) {
+    const token = this.fetch();
+    const func = token.text;
+    const funcData = functions[func];
+
+    if (!funcData) {
+      return null;
+    }
+
+    this.consume(); // consume command token
+
+    if (greediness != null && funcData.greediness <= greediness) {
+      throw new ParseError("Got function '" + func + "' with no arguments" + (name ? " as " + name : ""), token);
+    } else if (this.mode === "text" && !funcData.allowedInText) {
+      throw new ParseError("Can't use function '" + func + "' in text mode", token);
+    } else if (this.mode === "math" && funcData.allowedInMath === false) {
+      throw new ParseError("Can't use function '" + func + "' in math mode", token);
+    }
+
+    const _this$parseArguments = this.parseArguments(func, funcData),
+          args = _this$parseArguments.args,
+          optArgs = _this$parseArguments.optArgs;
+
+    return this.callFunction(func, args, optArgs, token, breakOnTokenText);
+  }
+  /**
+   * Call a function handler with a suitable context and arguments.
+   */
+
+
+  callFunction(name, args, optArgs, token, breakOnTokenText) {
+    const context = {
+      funcName: name,
+      parser: this,
+      token,
+      breakOnTokenText
+    };
+    const func = functions[name];
+
+    if (func && func.handler) {
+      return func.handler(context, args, optArgs);
+    } else {
+      throw new ParseError(`No function handler for ${name}`);
+    }
+  }
+  /**
+   * Parses the arguments of a function or environment
+   */
+
+
+  parseArguments(func, // Should look like "\name" or "\begin{name}".
+  funcData) {
+    const totalArgs = funcData.numArgs + funcData.numOptionalArgs;
+
+    if (totalArgs === 0) {
+      return {
+        args: [],
+        optArgs: []
+      };
+    }
+
+    const baseGreediness = funcData.greediness;
+    const args = [];
+    const optArgs = [];
+
+    for (let i = 0; i < totalArgs; i++) {
+      const argType = funcData.argTypes && funcData.argTypes[i];
+      const isOptional = i < funcData.numOptionalArgs; // Ignore spaces between arguments.  As the TeXbook says:
+      // "After you have said ‘\def\row#1#2{...}’, you are allowed to
+      //  put spaces between the arguments (e.g., ‘\row x n’), because
+      //  TeX doesn’t use single spaces as undelimited arguments."
+
+      const consumeSpaces = i > 0 && !isOptional || // Also consume leading spaces in math mode, as parseSymbol
+      // won't know what to do with them.  This can only happen with
+      // macros, e.g. \frac\foo\foo where \foo expands to a space symbol.
+      // In LaTeX, the \foo's get treated as (blank) arguments.
+      // In KaTeX, for now, both spaces will get consumed.
+      // TODO(edemaine)
+      i === 0 && !isOptional && this.mode === "math";
+      const arg = this.parseGroupOfType(`argument to '${func}'`, argType, isOptional, baseGreediness, consumeSpaces);
+
+      if (!arg) {
+        if (isOptional) {
+          optArgs.push(null);
+          continue;
+        }
+
+        throw new ParseError(`Expected group after '${func}'`, this.fetch());
+      }
+
+      (isOptional ? optArgs : args).push(arg);
+    }
+
+    return {
+      args,
+      optArgs
+    };
+  }
+  /**
+   * Parses a group when the mode is changing.
+   */
+
+
+  parseGroupOfType(name, type, optional, greediness, consumeSpaces) {
+    switch (type) {
+      case "color":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseColorGroup(optional);
+
+      case "size":
+        if (consumeSpaces) {
+          this.consumeSpaces();
+        }
+
+        return this.parseSizeGroup(optional);
+
+      case "url":
+        return this.parseUrlGroup(optional, consumeSpaces);
+
+      case "math":
+      case "text":
+        return this.parseGroup(name, optional, greediness, undefined, type, consumeSpaces);
+
+      case "hbox":
+        {
+          // hbox argument type wraps the argument in the equivalent of
+          // \hbox, which is like \text but switching to \textstyle size.
+          const group = this.parseGroup(name, optional, greediness, undefined, "text", consumeSpaces);
+
+          if (!group) {
+            return group;
+          }
+
+          const styledGroup = {
+            type: "styling",
+            mode: group.mode,
+            body: [group],
+            style: "text" // simulate \textstyle
+
+          };
+          return styledGroup;
+        }
+
+      case "raw":
+        {
+          if (consumeSpaces) {
+            this.consumeSpaces();
+          }
+
+          if (optional && this.fetch().text === "{") {
+            return null;
+          }
+
+          const token = this.parseStringGroup("raw", optional, true);
+
+          if (token) {
+            return {
+              type: "raw",
+              mode: "text",
+              string: token.text
+            };
+          } else {
+            throw new ParseError("Expected raw group", this.fetch());
+          }
+        }
+
+      case "original":
+      case null:
+      case undefined:
+        return this.parseGroup(name, optional, greediness, undefined, undefined, consumeSpaces);
+
+      default:
+        throw new ParseError("Unknown group type as " + name, this.fetch());
+    }
+  }
+  /**
+   * Discard any space tokens, fetching the next non-space token.
+   */
+
+
+  consumeSpaces() {
+    while (this.fetch().text === " ") {
+      this.consume();
+    }
+  }
+  /**
+   * Parses a group, essentially returning the string formed by the
+   * brace-enclosed tokens plus some position information.
+   */
+
+
+  parseStringGroup(modeName, // Used to describe the mode in error messages.
+  optional, raw) {
+    const groupBegin = optional ? "[" : "{";
+    const groupEnd = optional ? "]" : "}";
+    const beginToken = this.fetch();
+
+    if (beginToken.text !== groupBegin) {
+      if (optional) {
+        return null;
+      } else if (raw && beginToken.text !== "EOF" && /[^{}[\]]/.test(beginToken.text)) {
+        this.consume();
+        return beginToken;
+      }
+    }
+
+    const outerMode = this.mode;
+    this.mode = "text";
+    this.expect(groupBegin);
+    let str = "";
+    const firstToken = this.fetch();
+    let nested = 0; // allow nested braces in raw string group
+
+    let lastToken = firstToken;
+    let nextToken;
+
+    while ((nextToken = this.fetch()).text !== groupEnd || raw && nested > 0) {
+      switch (nextToken.text) {
+        case "EOF":
+          throw new ParseError("Unexpected end of input in " + modeName, firstToken.range(lastToken, str));
+
+        case groupBegin:
+          nested++;
+          break;
+
+        case groupEnd:
+          nested--;
+          break;
+      }
+
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    this.expect(groupEnd);
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a regex-delimited group: the largest sequence of tokens
+   * whose concatenated strings match `regex`. Returns the string
+   * formed by the tokens plus some position information.
+   */
+
+
+  parseRegexGroup(regex, modeName) {
+    const outerMode = this.mode;
+    this.mode = "text";
+    const firstToken = this.fetch();
+    let lastToken = firstToken;
+    let str = "";
+    let nextToken;
+
+    while ((nextToken = this.fetch()).text !== "EOF" && regex.test(str + nextToken.text)) {
+      lastToken = nextToken;
+      str += lastToken.text;
+      this.consume();
+    }
+
+    if (str === "") {
+      throw new ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken);
+    }
+
+    this.mode = outerMode;
+    return firstToken.range(lastToken, str);
+  }
+  /**
+   * Parses a color description.
+   */
+
+
+  parseColorGroup(optional) {
+    const res = this.parseStringGroup("color", optional);
+
+    if (!res) {
+      return null;
+    }
+
+    const match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text);
+
+    if (!match) {
+      throw new ParseError("Invalid color: '" + res.text + "'", res);
+    }
+
+    let color = match[0];
+
+    if (/^[0-9a-f]{6}$/i.test(color)) {
+      // We allow a 6-digit HTML color spec without a leading "#".
+      // This follows the xcolor package's HTML color model.
+      // Predefined color names are all missed by this RegEx pattern.
+      color = "#" + color;
+    }
+
+    return {
+      type: "color-token",
+      mode: this.mode,
+      color
+    };
+  }
+  /**
+   * Parses a size specification, consisting of magnitude and unit.
+   */
+
+
+  parseSizeGroup(optional) {
+    let res;
+    let isBlank = false;
+
+    if (!optional && this.fetch().text !== "{") {
+      res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size");
+    } else {
+      res = this.parseStringGroup("size", optional);
+    }
+
+    if (!res) {
+      return null;
+    }
+
+    if (!optional && res.text.length === 0) {
+      // Because we've tested for what is !optional, this block won't
+      // affect \kern, \hspace, etc. It will capture the mandatory arguments
+      // to \genfrac and \above.
+      res.text = "0pt"; // Enable \above{}
+
+      isBlank = true; // This is here specifically for \genfrac
+    }
+
+    const match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text);
+
+    if (!match) {
+      throw new ParseError("Invalid size: '" + res.text + "'", res);
+    }
+
+    const data = {
+      number: +(match[1] + match[2]),
+      // sign + magnitude, cast to number
+      unit: match[3]
+    };
+
+    if (!validUnit(data)) {
+      throw new ParseError("Invalid unit: '" + data.unit + "'", res);
+    }
+
+    return {
+      type: "size",
+      mode: this.mode,
+      value: data,
+      isBlank
+    };
+  }
+  /**
+   * Parses an URL, checking escaped letters and allowed protocols,
+   * and setting the catcode of % as an active character (as in \hyperref).
+   */
+
+
+  parseUrlGroup(optional, consumeSpaces) {
+    this.gullet.lexer.setCatcode("%", 13); // active character
+
+    const res = this.parseStringGroup("url", optional, true); // get raw string
+
+    this.gullet.lexer.setCatcode("%", 14); // comment character
+
+    if (!res) {
+      return null;
+    } // hyperref package allows backslashes alone in href, but doesn't
+    // generate valid links in such cases; we interpret this as
+    // "undefined" behaviour, and keep them as-is. Some browser will
+    // replace backslashes with forward slashes.
+
+
+    const url = res.text.replace(/\\([#$%&~_^{}])/g, '$1');
+    return {
+      type: "url",
+      mode: this.mode,
+      url
+    };
+  }
+  /**
+   * If `optional` is false or absent, this parses an ordinary group,
+   * which is either a single nucleus (like "x") or an expression
+   * in braces (like "{x+y}") or an implicit group, a group that starts
+   * at the current position, and ends right before a higher explicit
+   * group ends, or at EOF.
+   * If `optional` is true, it parses either a bracket-delimited expression
+   * (like "[x+y]") or returns null to indicate the absence of a
+   * bracket-enclosed group.
+   * If `mode` is present, switches to that mode while parsing the group,
+   * and switches back after.
+   */
+
+
+  parseGroup(name, // For error reporting.
+  optional, greediness, breakOnTokenText, mode, consumeSpaces) {
+    // Switch to specified mode
+    const outerMode = this.mode;
+
+    if (mode) {
+      this.switchMode(mode);
+    } // Consume spaces if requested, crucially *after* we switch modes,
+    // so that the next non-space token is parsed in the correct mode.
+
+
+    if (consumeSpaces) {
+      this.consumeSpaces();
+    } // Get first token
+
+
+    const firstToken = this.fetch();
+    const text = firstToken.text;
+    let result; // Try to parse an open brace or \begingroup
+
+    if (optional ? text === "[" : text === "{" || text === "\\begingroup") {
+      this.consume();
+      const groupEnd = Parser.endOfGroup[text]; // Start a new group namespace
+
+      this.gullet.beginGroup(); // If we get a brace, parse an expression
+
+      const expression = this.parseExpression(false, groupEnd);
+      const lastToken = this.fetch(); // Check that we got a matching closing brace
+
+      this.expect(groupEnd); // End group namespace
+
+      this.gullet.endGroup();
+      result = {
+        type: "ordgroup",
+        mode: this.mode,
+        loc: SourceLocation.range(firstToken, lastToken),
+        body: expression,
+        // A group formed by \begingroup...\endgroup is a semi-simple group
+        // which doesn't affect spacing in math mode, i.e., is transparent.
+        // https://tex.stackexchange.com/questions/1930/when-should-one-
+        // use-begingroup-instead-of-bgroup
+        semisimple: text === "\\begingroup" || undefined
+      };
+    } else if (optional) {
+      // Return nothing for an optional group
+      result = null;
+    } else {
+      // If there exists a function with this name, parse the function.
+      // Otherwise, just return a nucleus
+      result = this.parseFunction(breakOnTokenText, name, greediness) || this.parseSymbol();
+
+      if (result == null && text[0] === "\\" && !implicitCommands.hasOwnProperty(text)) {
+        if (this.settings.throwOnError) {
+          throw new ParseError("Undefined control sequence: " + text, firstToken);
+        }
+
+        result = this.formatUnsupportedCmd(text);
+        this.consume();
+      }
+    } // Switch mode back
+
+
+    if (mode) {
+      this.switchMode(outerMode);
+    }
+
+    return result;
+  }
+  /**
+   * Form ligature-like combinations of characters for text mode.
+   * This includes inputs like "--", "---", "``" and "''".
+   * The result will simply replace multiple textord nodes with a single
+   * character in each value by a single textord node having multiple
+   * characters in its value.  The representation is still ASCII source.
+   * The group will be modified in place.
+   */
+
+
+  formLigatures(group) {
+    let n = group.length - 1;
+
+    for (let i = 0; i < n; ++i) {
+      const a = group[i]; // $FlowFixMe: Not every node type has a `text` property.
+
+      const v = a.text;
+
+      if (v === "-" && group[i + 1].text === "-") {
+        if (i + 1 < n && group[i + 2].text === "-") {
+          group.splice(i, 3, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 2]),
+            text: "---"
+          });
+          n -= 2;
+        } else {
+          group.splice(i, 2, {
+            type: "textord",
+            mode: "text",
+            loc: SourceLocation.range(a, group[i + 1]),
+            text: "--"
+          });
+          n -= 1;
+        }
+      }
+
+      if ((v === "'" || v === "`") && group[i + 1].text === v) {
+        group.splice(i, 2, {
+          type: "textord",
+          mode: "text",
+          loc: SourceLocation.range(a, group[i + 1]),
+          text: v + v
+        });
+        n -= 1;
+      }
+    }
+  }
+  /**
+   * Parse a single symbol out of the string. Here, we handle single character
+   * symbols and special functions like \verb.
+   */
+
+
+  parseSymbol() {
+    const nucleus = this.fetch();
+    let text = nucleus.text;
+
+    if (/^\\verb[^a-zA-Z]/.test(text)) {
+      this.consume();
+      let arg = text.slice(5);
+      const star = arg.charAt(0) === "*";
+
+      if (star) {
+        arg = arg.slice(1);
+      } // Lexer's tokenRegex is constructed to always have matching
+      // first/last characters.
+
+
+      if (arg.length < 2 || arg.charAt(0) !== arg.slice(-1)) {
+        throw new ParseError(`\\verb assertion failed --
+                    please report what input caused this bug`);
+      }
+
+      arg = arg.slice(1, -1); // remove first and last char
+
+      return {
+        type: "verb",
+        mode: "text",
+        body: arg,
+        star
+      };
+    } // At this point, we should have a symbol, possibly with accents.
+    // First expand any accented base symbol according to unicodeSymbols.
+
+
+    if (unicodeSymbols.hasOwnProperty(text[0]) && !symbols[this.mode][text[0]]) {
+      // This behavior is not strict (XeTeX-compatible) in math mode.
+      if (this.settings.strict && this.mode === "math") {
+        this.settings.reportNonstrict("unicodeTextInMathMode", `Accented Unicode text character "${text[0]}" used in ` + `math mode`, nucleus);
+      }
+
+      text = unicodeSymbols[text[0]] + text.substr(1);
+    } // Strip off any combining characters
+
+
+    const match = combiningDiacriticalMarksEndRegex.exec(text);
+
+    if (match) {
+      text = text.substring(0, match.index);
+
+      if (text === 'i') {
+        text = '\u0131'; // dotless i, in math and text mode
+      } else if (text === 'j') {
+        text = '\u0237'; // dotless j, in math and text mode
+      }
+    } // Recognize base symbol
+
+
+    let symbol;
+
+    if (symbols[this.mode][text]) {
+      if (this.settings.strict && this.mode === 'math' && extraLatin.indexOf(text) >= 0) {
+        this.settings.reportNonstrict("unicodeTextInMathMode", `Latin-1/Unicode text character "${text[0]}" used in ` + `math mode`, nucleus);
+      }
+
+      const group = symbols[this.mode][text].group;
+      const loc = SourceLocation.range(nucleus);
+      let s;
+
+      if (ATOMS.hasOwnProperty(group)) {
+        // $FlowFixMe
+        const family = group;
+        s = {
+          type: "atom",
+          mode: this.mode,
+          family,
+          loc,
+          text
+        };
+      } else {
+        // $FlowFixMe
+        s = {
+          type: group,
+          mode: this.mode,
+          loc,
+          text
+        };
+      }
+
+      symbol = s;
+    } else if (text.charCodeAt(0) >= 0x80) {
+      // no symbol for e.g. ^
+      if (this.settings.strict) {
+        if (!supportedCodepoint(text.charCodeAt(0))) {
+          this.settings.reportNonstrict("unknownSymbol", `Unrecognized Unicode character "${text[0]}"` + ` (${text.charCodeAt(0)})`, nucleus);
+        } else if (this.mode === "math") {
+          this.settings.reportNonstrict("unicodeTextInMathMode", `Unicode text character "${text[0]}" used in math mode`, nucleus);
+        }
+      } // All nonmathematical Unicode characters are rendered as if they
+      // are in text mode (wrapped in \text) because that's what it
+      // takes to render them in LaTeX.  Setting `mode: this.mode` is
+      // another natural choice (the user requested math mode), but
+      // this makes it more difficult for getCharacterMetrics() to
+      // distinguish Unicode characters without metrics and those for
+      // which we want to simulate the letter M.
+
+
+      symbol = {
+        type: "textord",
+        mode: "text",
+        loc: SourceLocation.range(nucleus),
+        text
+      };
+    } else {
+      return null; // EOF, ^, _, {, }, etc.
+    }
+
+    this.consume(); // Transform combining characters into accents
+
+    if (match) {
+      for (let i = 0; i < match[0].length; i++) {
+        const accent = match[0][i];
+
+        if (!unicodeAccents[accent]) {
+          throw new ParseError(`Unknown accent ' ${accent}'`, nucleus);
+        }
+
+        const command = unicodeAccents[accent][this.mode];
+
+        if (!command) {
+          throw new ParseError(`Accent ${accent} unsupported in ${this.mode} mode`, nucleus);
+        }
+
+        symbol = {
+          type: "accent",
+          mode: this.mode,
+          loc: SourceLocation.range(nucleus),
+          label: command,
+          isStretchy: false,
+          isShifty: true,
+          base: symbol
+        };
+      }
+    }
+
+    return symbol;
+  }
+
+}
+Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
+Parser.endOfGroup = {
+  "[": "]",
+  "{": "}",
+  "\\begingroup": "\\endgroup"
+  /**
+   * Parses an "expression", which is a list of atoms.
+   *
+   * `breakOnInfix`: Should the parsing stop when we hit infix nodes? This
+   *                 happens when functions have higher precendence han infix
+   *                 nodes in implicit parses.
+   *
+   * `breakOnTokenText`: The text of the token that the expression should end
+   *                     with, or `null` if something else should end the
+   *                     expression.
+   */
+
+};
+Parser.SUPSUB_GREEDINESS = 1;
+
+/**
+ * Provides a single function for parsing an expression using a Parser
+ * TODO(emily): Remove this
+ */
+
+/**
+ * Parses an expression using a Parser, then returns the parsed result.
+ */
+const parseTree = function parseTree(toParse, settings) {
+  if (!(typeof toParse === 'string' || toParse instanceof String)) {
+    throw new TypeError('KaTeX can only parse string typed expression');
+  }
+
+  const parser = new Parser(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors
+
+  delete parser.gullet.macros.current["\\df@tag"];
+  let tree = parser.parse(); // If the input used \tag, it will set the \df@tag macro to the tag.
+  // In this case, we separately parse the tag and wrap the tree.
+
+  if (parser.gullet.macros.get("\\df@tag")) {
+    if (!settings.displayMode) {
+      throw new ParseError("\\tag works only in display equations");
+    }
+
+    parser.gullet.feed("\\df@tag");
+    tree = [{
+      type: "tag",
+      mode: "text",
+      body: tree,
+      tag: parser.parse()
+    }];
+  }
+
+  return tree;
+};
+
+/* eslint no-console:0 */
+
+/**
+ * Parse and build an expression, and place that expression in the DOM node
+ * given.
+ */
+let render = function render(expression, baseNode, options) {
+  baseNode.textContent = "";
+  const node = renderToDomTree(expression, options).toNode();
+  baseNode.appendChild(node);
+}; // KaTeX's styles don't work properly in quirks mode. Print out an error, and
+// disable rendering.
+
+
+if (typeof document !== "undefined") {
+  if (document.compatMode !== "CSS1Compat") {
+    typeof console !== "undefined" && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your " + "website has a suitable doctype.");
+
+    render = function render() {
+      throw new ParseError("KaTeX doesn't work in quirks mode.");
+    };
+  }
+}
+/**
+ * Parse and build an expression, and return the markup for that.
+ */
+
+
+const renderToString = function renderToString(expression, options) {
+  const markup = renderToDomTree(expression, options).toMarkup();
+  return markup;
+};
+/**
+ * Parse an expression and return the parse tree.
+ */
+
+
+const generateParseTree = function generateParseTree(expression, options) {
+  const settings = new Settings(options);
+  return parseTree(expression, settings);
+};
+/**
+ * If the given error is a KaTeX ParseError and options.throwOnError is false,
+ * renders the invalid LaTeX as a span with hover title giving the KaTeX
+ * error message.  Otherwise, simply throws the error.
+ */
+
+
+const renderError = function renderError(error, expression, options) {
+  if (options.throwOnError || !(error instanceof ParseError)) {
+    throw error;
+  }
+
+  const node = buildCommon.makeSpan(["katex-error"], [new SymbolNode(expression)]);
+  node.setAttribute("title", error.toString());
+  node.setAttribute("style", `color:${options.errorColor}`);
+  return node;
+};
+/**
+ * Generates and returns the katex build tree. This is used for advanced
+ * use cases (like rendering to custom output).
+ */
+
+
+const renderToDomTree = function renderToDomTree(expression, options) {
+  const settings = new Settings(options);
+
+  try {
+    const tree = parseTree(expression, settings);
+    return buildTree(tree, expression, settings);
+  } catch (error) {
+    return renderError(error, expression, settings);
+  }
+};
+/**
+ * Generates and returns the katex build tree, with just HTML (no MathML).
+ * This is used for advanced use cases (like rendering to custom output).
+ */
+
+
+const renderToHTMLTree = function renderToHTMLTree(expression, options) {
+  const settings = new Settings(options);
+
+  try {
+    const tree = parseTree(expression, settings);
+    return buildHTMLTree(tree, expression, settings);
+  } catch (error) {
+    return renderError(error, expression, settings);
+  }
+};
+
+var katex = {
+  /**
+   * Current KaTeX version
+   */
+  version: "0.12.0",
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination, and adds
+   * it as a child to the specified DOM node.
+   */
+  render,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML combination string,
+   * for sending to the client.
+   */
+  renderToString,
+
+  /**
+   * KaTeX error, usually during parsing.
+   */
+  ParseError,
+
+  /**
+   * Parses the given LaTeX into KaTeX's internal parse tree structure,
+   * without rendering to HTML or MathML.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __parse: generateParseTree,
+
+  /**
+   * Renders the given LaTeX into an HTML+MathML internal DOM tree
+   * representation, without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToDomTree: renderToDomTree,
+
+  /**
+   * Renders the given LaTeX into an HTML internal DOM tree representation,
+   * without MathML and without flattening that representation to a string.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __renderToHTMLTree: renderToHTMLTree,
+
+  /**
+   * extends internal font metrics object with a new object
+   * each key in the new object represents a font name
+  */
+  __setFontMetrics: setFontMetrics,
+
+  /**
+   * adds a new symbol to builtin symbols table
+   */
+  __defineSymbol: defineSymbol,
+
+  /**
+   * adds a new macro to builtin macro list
+   */
+  __defineMacro: defineMacro,
+
+  /**
+   * Expose the dom tree node types, which can be useful for type checking nodes.
+   *
+   * NOTE: This method is not currently recommended for public use.
+   * The internal tree representation is unstable and is very likely
+   * to change. Use at your own risk.
+   */
+  __domTree: {
+    Span,
+    Anchor,
+    SymbolNode,
+    SvgNode,
+    PathNode,
+    LineNode
+  }
+};
+
+export default katex;
diff --git a/docs/static/matomo.js b/docs/static/matomo.js
new file mode 100644
index 000000000..eb1c02d57
--- /dev/null
+++ b/docs/static/matomo.js
@@ -0,0 +1,11 @@
+var _paq = window._paq || [];
+/* tracker methods like "setCustomDimension" should be called before "trackPageView" */
+_paq.push(['trackPageView']);
+_paq.push(['enableLinkTracking']);
+(function() {
+  var u="//matomo.standardnotes.org/";
+  _paq.push(['setTrackerUrl', u+'matomo.php']);
+  _paq.push(['setSiteId', '7']);
+  var d=document, g=d.createElement('script'), s=d.getElementsByTagName('script')[0];
+  g.type='text/javascript'; g.async=true; g.defer=true; g.src=u+'matomo.js'; s.parentNode.insertBefore(g,s);
+})();
\ No newline at end of file
diff --git a/package.json b/package.json
index 3cf184837..ddaf4efe5 100644
--- a/package.json
+++ b/package.json
@@ -12,7 +12,8 @@
       "packages/*",
       "packages/components/src/Packages/Deprecated/*",
       "packages/components/src/Packages/Editors/*",
-      "packages/components/src/Packages/Themes/*"
+      "packages/components/src/Packages/Themes/*",
+      "docs"
     ]
   },
   "engines": {
@@ -22,7 +23,7 @@
     "lint": "yarn workspaces foreach -pt --parallel --jobs 10 --verbose --exclude @standardnotes/components-meta run lint",
     "test": "yarn workspaces foreach -pt --parallel --jobs 10 --verbose --exclude @standardnotes/components-meta run test",
     "clean": "lerna run clean",
-    "build:all": "yarn workspaces foreach -pt --verbose --exclude @standardnotes/components-meta run build",
+    "build:all": "yarn workspaces foreach -pt --verbose --exclude '{@standardnotes/components-meta,@standardnotes/docs}' run build",
     "build:components": "yarn workspaces foreach -pt --verbose --interlaced -R --from @standardnotes/components-meta run build",
     "build:web": "yarn workspaces foreach -pt --verbose -R --from @standardnotes/web --exclude @standardnotes/components-meta run build",
     "build:desktop": "yarn workspaces foreach -pt --verbose -R --from @standardnotes/desktop --exclude @standardnotes/components-meta run build",
diff --git a/yarn.lock b/yarn.lock
index fb5259f11..63da11454 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -12,6 +12,173 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@algolia/autocomplete-core@npm:1.7.1":
+  version: 1.7.1
+  resolution: "@algolia/autocomplete-core@npm:1.7.1"
+  dependencies:
+    "@algolia/autocomplete-shared": 1.7.1
+  checksum: 511176e9c2a9f2e2be62552e48e72dadfcc6638cda4a2990fd3453aed3ce4e7d8ca1bd6a9ccb912430c77734b00a8b836aaad97facc1987157af4ac00f590f4a
+  languageName: node
+  linkType: hard
+
+"@algolia/autocomplete-preset-algolia@npm:1.7.1":
+  version: 1.7.1
+  resolution: "@algolia/autocomplete-preset-algolia@npm:1.7.1"
+  dependencies:
+    "@algolia/autocomplete-shared": 1.7.1
+  peerDependencies:
+    "@algolia/client-search": ^4.9.1
+    algoliasearch: ^4.9.1
+  checksum: cb031d5ed43f2e10f325f6291cfab851cc5622d96ae8ba1913815ead16b7ce2969b0c51f921d54c47195b2200af8ceecf1c587d2580f842c337f1d8e2f6317c2
+  languageName: node
+  linkType: hard
+
+"@algolia/autocomplete-shared@npm:1.7.1":
+  version: 1.7.1
+  resolution: "@algolia/autocomplete-shared@npm:1.7.1"
+  checksum: 0e137f1a470fab9b1bc493284b0be9b83503bda8aa37be9726a8fddf4791dccbd28f9eec399a7c75c1eb3196510dac7be454307fc97fbca2999f3fbc30756c28
+  languageName: node
+  linkType: hard
+
+"@algolia/cache-browser-local-storage@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/cache-browser-local-storage@npm:4.13.1"
+  dependencies:
+    "@algolia/cache-common": 4.13.1
+  checksum: ee7674971ab22c34f17cdf06589286695b40efaa7fd9b8f25833735bbd39919f2fe4973ca4de314f639574ae28d087ff43abef50e9e16b2f51b459a451e4c38d
+  languageName: node
+  linkType: hard
+
+"@algolia/cache-common@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/cache-common@npm:4.13.1"
+  checksum: 0ec5f1344177fbcfa5e2386e3841d7e162f0f9de06a9c3faa31a5f4793153f4d084ec08f22a10645ebce35d5146944f52c59d657c980c19a0bb9079b1f338f47
+  languageName: node
+  linkType: hard
+
+"@algolia/cache-in-memory@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/cache-in-memory@npm:4.13.1"
+  dependencies:
+    "@algolia/cache-common": 4.13.1
+  checksum: d1a5935de618d2480bc25f9c563fd45383a024d3f64e44ad35d1eb18b59b7654ec1cfd7dcb1fc7bd391709e85f4cd7f4602f54772ba85d1993520ce48252f22e
+  languageName: node
+  linkType: hard
+
+"@algolia/client-account@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/client-account@npm:4.13.1"
+  dependencies:
+    "@algolia/client-common": 4.13.1
+    "@algolia/client-search": 4.13.1
+    "@algolia/transporter": 4.13.1
+  checksum: 3a3fb580c5ef2b57dbcf005a74a56590a87658532d114b4be8c0eb20eb1169d932090b9688eb8690782c71e99650f37896d4e3386b325c292f01f4c0821502c5
+  languageName: node
+  linkType: hard
+
+"@algolia/client-analytics@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/client-analytics@npm:4.13.1"
+  dependencies:
+    "@algolia/client-common": 4.13.1
+    "@algolia/client-search": 4.13.1
+    "@algolia/requester-common": 4.13.1
+    "@algolia/transporter": 4.13.1
+  checksum: b593011160d024cddd1871ed70e7ef5231d7e6a7bac94a6b990d81aea6965b51181232b98c64f0eab7a45ab639d43d252b8655f34c8c9b8d1563ab8653da8c9b
+  languageName: node
+  linkType: hard
+
+"@algolia/client-common@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/client-common@npm:4.13.1"
+  dependencies:
+    "@algolia/requester-common": 4.13.1
+    "@algolia/transporter": 4.13.1
+  checksum: 4a3d5a14f4ad95740414419ceb4b2df60ebbc53a25a0ffb2a96e46f34fe797bf82e85c376bb5cdd9456717cd2e3115444dd18aaa238005efe622c0589ec9e9a5
+  languageName: node
+  linkType: hard
+
+"@algolia/client-personalization@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/client-personalization@npm:4.13.1"
+  dependencies:
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+    "@algolia/requester-common": 4.13.1
+    "@algolia/transporter": 4.13.1
+  checksum: 9a318235f54e9e0a9cc5a6b54d84fe2cfd78fdc616172ca9be4ace9519d89ac1c32025f7d365db349b48e23f7e9c2a46da7b24c435584f633e5f55050df340d4
+  languageName: node
+  linkType: hard
+
+"@algolia/client-search@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/client-search@npm:4.13.1"
+  dependencies:
+    "@algolia/client-common": 4.13.1
+    "@algolia/requester-common": 4.13.1
+    "@algolia/transporter": 4.13.1
+  checksum: 44e630b866756ce5ece0c86eaa9f48fe9d4e8faabcc63d3eece851f9496d97e14f2576ea83cdbc154a7af6e11e75ec3671356053026577c7db316a8405d6ebfc
+  languageName: node
+  linkType: hard
+
+"@algolia/events@npm:^4.0.1":
+  version: 4.0.1
+  resolution: "@algolia/events@npm:4.0.1"
+  checksum: 4f63943f4554cfcfed91d8b8c009a49dca192b81056d8c75e532796f64828cd69899852013e81ff3fff07030df8782b9b95c19a3da0845786bdfe22af42442c2
+  languageName: node
+  linkType: hard
+
+"@algolia/logger-common@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/logger-common@npm:4.13.1"
+  checksum: 7330b794af2e4d648b2e4edcfbdda9ea1c154b2f4107505f6d6b0ec513d90df9e809ef55775c2baccfb909ed894ccc55c626665d44a86a12fb9e9b499eb25d6f
+  languageName: node
+  linkType: hard
+
+"@algolia/logger-console@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/logger-console@npm:4.13.1"
+  dependencies:
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+  checksum: c78f50a784196387c3b1577b683acd66f8aa2d37fc022638f0e8d9635f0c003407d7595c4080e46bd47e1d1e635cace396f75b93c71c465bb0cfbd456dc91ad7
+  languageName: node
+  linkType: hard
+
+"@algolia/requester-browser-xhr@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/requester-browser-xhr@npm:4.13.1"
+  dependencies:
+    "@algolia/requester-common": 4.13.1
+  checksum: 6ae8e3b03b66410e809aa649b93d6f72fd4520c8f50517b37646b37d80c55ec1f519f2059ecc5a63929ba9ca0ce1ef45cd3a7d20f7abdda4f216a67d93736765
+  languageName: node
+  linkType: hard
+
+"@algolia/requester-common@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/requester-common@npm:4.13.1"
+  checksum: 4e8039f7fda7dd8bfb8689bfda9cb7297972e27c329e2b813e8df7390d6dd7ce169907e307b039c57905010d6468e85908830d6be0eeef3664c8fc01fafff957
+  languageName: node
+  linkType: hard
+
+"@algolia/requester-node-http@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/requester-node-http@npm:4.13.1"
+  dependencies:
+    "@algolia/requester-common": 4.13.1
+  checksum: d25fe56c4acc5e032a2a1d0b5a85b2cebb58c0a581ed9f862df9e43378e7523948ca9aa377589405efe7bc951b0ea6e0011963d73a8b11a5f0d426123f9bb4ec
+  languageName: node
+  linkType: hard
+
+"@algolia/transporter@npm:4.13.1":
+  version: 4.13.1
+  resolution: "@algolia/transporter@npm:4.13.1"
+  dependencies:
+    "@algolia/cache-common": 4.13.1
+    "@algolia/logger-common": 4.13.1
+    "@algolia/requester-common": 4.13.1
+  checksum: c99451f37172ae499bf0aa83d32b1785b63744498c1978c274ddf865ae5a91c05d92570450ebb39ae91a3d4d4593415aaad9c93c4d78229ddc8ba8b42fb0ce3a
+  languageName: node
+  linkType: hard
+
 "@ampproject/remapping@npm:^2.1.0":
   version: 2.2.0
   resolution: "@ampproject/remapping@npm:2.2.0"
@@ -62,6 +229,15 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/code-frame@npm:7.10.4":
+  version: 7.10.4
+  resolution: "@babel/code-frame@npm:7.10.4"
+  dependencies:
+    "@babel/highlight": ^7.10.4
+  checksum: feb4543c8a509fe30f0f6e8d7aa84f82b41148b963b826cd330e34986f649a85cb63b2f13dd4effdf434ac555d16f14940b8ea5f4433297c2f5ff85486ded019
+  languageName: node
+  linkType: hard
+
 "@babel/code-frame@npm:7.12.11":
   version: 7.12.11
   resolution: "@babel/code-frame@npm:7.12.11"
@@ -71,7 +247,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/code-frame@npm:^7.0.0, @babel/code-frame@npm:^7.10.4, @babel/code-frame@npm:^7.12.13, @babel/code-frame@npm:^7.16.0, @babel/code-frame@npm:^7.18.6, @babel/code-frame@npm:^7.8.3":
+"@babel/code-frame@npm:^7.0.0, @babel/code-frame@npm:^7.10.4, @babel/code-frame@npm:^7.12.13, @babel/code-frame@npm:^7.16.0, @babel/code-frame@npm:^7.18.6, @babel/code-frame@npm:^7.5.5, @babel/code-frame@npm:^7.8.3":
   version: 7.18.6
   resolution: "@babel/code-frame@npm:7.18.6"
   dependencies:
@@ -87,7 +263,31 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/core@npm:^7.1.0, @babel/core@npm:^7.1.6, @babel/core@npm:^7.11.1, @babel/core@npm:^7.12.10, @babel/core@npm:^7.12.3, @babel/core@npm:^7.13.10, @babel/core@npm:^7.13.13, @babel/core@npm:^7.13.14, @babel/core@npm:^7.13.8, @babel/core@npm:^7.14.0, @babel/core@npm:^7.14.6, @babel/core@npm:^7.15.5, @babel/core@npm:^7.16.0, @babel/core@npm:^7.17.10, @babel/core@npm:^7.17.9, @babel/core@npm:^7.18.2, @babel/core@npm:^7.18.5, @babel/core@npm:^7.7.0, @babel/core@npm:^7.7.2, @babel/core@npm:^7.7.7, @babel/core@npm:^7.8.0":
+"@babel/core@npm:7.12.9":
+  version: 7.12.9
+  resolution: "@babel/core@npm:7.12.9"
+  dependencies:
+    "@babel/code-frame": ^7.10.4
+    "@babel/generator": ^7.12.5
+    "@babel/helper-module-transforms": ^7.12.1
+    "@babel/helpers": ^7.12.5
+    "@babel/parser": ^7.12.7
+    "@babel/template": ^7.12.7
+    "@babel/traverse": ^7.12.9
+    "@babel/types": ^7.12.7
+    convert-source-map: ^1.7.0
+    debug: ^4.1.0
+    gensync: ^1.0.0-beta.1
+    json5: ^2.1.2
+    lodash: ^4.17.19
+    resolve: ^1.3.2
+    semver: ^5.4.1
+    source-map: ^0.5.0
+  checksum: 4d34eca4688214a4eb6bd5dde906b69a7824f17b931f52cd03628a8ac94d8fbe15565aebffdde106e974c8738cd64ac62c6a6060baa7139a06db1f18c4ff872d
+  languageName: node
+  linkType: hard
+
+"@babel/core@npm:^7.1.0, @babel/core@npm:^7.1.6, @babel/core@npm:^7.11.1, @babel/core@npm:^7.12.10, @babel/core@npm:^7.12.16, @babel/core@npm:^7.12.3, @babel/core@npm:^7.13.10, @babel/core@npm:^7.13.13, @babel/core@npm:^7.13.14, @babel/core@npm:^7.13.8, @babel/core@npm:^7.14.0, @babel/core@npm:^7.14.6, @babel/core@npm:^7.15.5, @babel/core@npm:^7.16.0, @babel/core@npm:^7.17.10, @babel/core@npm:^7.17.9, @babel/core@npm:^7.18.2, @babel/core@npm:^7.18.5, @babel/core@npm:^7.7.0, @babel/core@npm:^7.7.2, @babel/core@npm:^7.7.7, @babel/core@npm:^7.8.0":
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   resolution: "@babel/core@npm:7.18.6"
   dependencies:
@@ -124,6 +324,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/generator@npm:^7.12.15, @babel/generator@npm:^7.12.5, @babel/generator@npm:^7.18.2":
+  version: 7.18.7
+  resolution: "@babel/generator@npm:7.18.7"
+  dependencies:
+    "@babel/types": ^7.18.7
+    "@jridgewell/gen-mapping": ^0.3.2
+    jsesc: ^2.5.1
+  checksum: aad4b6873130165e9483af2888bce5a3a5ad9cca0757fc90ae11a0396757d0b295a3bff49282c8df8ab01b31972cc855ae88fd9ddc9ab00d9427dc0e01caeea9
+  languageName: node
+  linkType: hard
+
 "@babel/generator@npm:^7.14.0, @babel/generator@npm:^7.18.6, @babel/generator@npm:^7.7.2":
   version: 7.18.6
   resolution: "@babel/generator@npm:7.18.6"
@@ -268,7 +479,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@babel/helper-module-transforms@npm:^7.18.6":
+"@babel/helper-module-transforms@npm:^7.12.1, @babel/helper-module-transforms@npm:^7.18.6":
   version: 7.18.6
   resolution: "@babel/helper-module-transforms@npm:7.18.6"
   dependencies:
@@ -293,6 +504,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@babel/helper-plugin-utils@npm:7.10.4":
+  version: 7.10.4
+  resolution: "@babel/helper-plugin-utils@npm:7.10.4"
+  checksum: 639ed8fc462b97a83226cee6bb081b1d77e7f73e8b033d2592ed107ee41d96601e321e5ea53a33e47469c7f1146b250a3dcda5ab873c7de162ab62120c341a41
+  languageName: node
+  linkType: hard
+
 "@babel/helper-plugin-utils@npm:^7.0.0, @babel/helper-plugin-utils@npm:^7.10.4, @babel/helper-plugin-utils@npm:^7.12.13, @babel/helper-plugin-utils@npm:^7.13.0, @babel/helper-plugin-utils@npm:^7.14.5, @babel/helper-plugin-utils@npm:^7.18.6, @babel/helper-plugin-utils@npm:^7.8.0, @babel/helper-plugin-utils@npm:^7.8.3":
   version: 7.18.6
   resolution: "@babel/helper-plugin-utils@npm:7.18.6"
@@ -380,7 +598,7 @@ __metadata:
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   linkType: hard
 
-"@babel/helpers@npm:^7.18.6":
+"@babel/helpers@npm:^7.12.5, @babel/helpers@npm:^7.18.6":
   version: 7.18.6
   resolution: "@babel/helpers@npm:7.18.6"
   dependencies:
@@ -402,7 +620,7 @@ __metadata:
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   resolution: "@babel/parser@npm:7.18.6"
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   resolution: "@babel/plugin-proposal-nullish-coalescing-operator@npm:7.18.6"
   dependencies:
@@ -573,6 +791,19 @@ __metadata:
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   linkType: hard
 
+"@babel/plugin-proposal-object-rest-spread@npm:7.12.1":
+  version: 7.12.1
+  resolution: "@babel/plugin-proposal-object-rest-spread@npm:7.12.1"
+  dependencies:
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+    "@babel/plugin-syntax-object-rest-spread": ^7.8.0
+    "@babel/plugin-transform-parameters": ^7.12.1
+  peerDependencies:
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+  checksum: 221a41630c9a7162bf0416c71695b3f7f38482078a1d0d3af7abdc4f07ea1c9feed890399158d56c1d0278c971fe6f565ce822e9351e4481f7d98e9ff735dced
+  languageName: node
+  linkType: hard
+
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   resolution: "@babel/plugin-proposal-object-rest-spread@npm:7.18.6"
@@ -600,7 +831,7 @@ __metadata:
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-"@babel/plugin-proposal-optional-chaining@npm:^7.0.0, @babel/plugin-proposal-optional-chaining@npm:^7.1.0, @babel/plugin-proposal-optional-chaining@npm:^7.16.0, @babel/plugin-proposal-optional-chaining@npm:^7.18.6":
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   resolution: "@babel/plugin-proposal-optional-chaining@npm:7.18.6"
   dependencies:
@@ -783,6 +1014,17 @@ __metadata:
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   linkType: hard
 
+"@babel/plugin-syntax-jsx@npm:7.12.1":
+  version: 7.12.1
+  resolution: "@babel/plugin-syntax-jsx@npm:7.12.1"
+  dependencies:
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+  peerDependencies:
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+  checksum: d4b9b589c484b2e0856799770f060dff34c67b24d7f4526f66309a0e0e9cf388a5c1f2c0da329d1973cc87d1b2cede8f3dc8facfac59e785d6393a003bcdd0f9
+  languageName: node
+  linkType: hard
+
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   version: 7.18.6
   resolution: "@babel/plugin-syntax-jsx@npm:7.18.6"
@@ -827,7 +1069,7 @@ __metadata:
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-"@babel/plugin-syntax-object-rest-spread@npm:^7.0.0, @babel/plugin-syntax-object-rest-spread@npm:^7.8.3":
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   resolution: "@babel/plugin-syntax-object-rest-spread@npm:7.8.3"
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-"@babel/plugin-transform-parameters@npm:^7.0.0, @babel/plugin-transform-parameters@npm:^7.18.6":
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   resolution: "@babel/plugin-transform-parameters@npm:7.18.6"
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-"@babel/runtime-corejs3@npm:^7.10.2":
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   resolution: "@babel/runtime-corejs3@npm:7.18.6"
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-"@babel/template@npm:^7.0.0, @babel/template@npm:^7.18.6, @babel/template@npm:^7.3.3":
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   resolution: "@babel/traverse@npm:7.18.6"
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   languageName: node
   linkType: hard
 
+"@babel/types@npm:^7.12.7, @babel/types@npm:^7.18.7":
+  version: 7.18.7
+  resolution: "@babel/types@npm:7.18.7"
+  dependencies:
+    "@babel/helper-validator-identifier": ^7.18.6
+    to-fast-properties: ^2.0.0
+  checksum: 3114ce161c4ebcb70271e168aa5af5cecedf3278209161d5ba6124bd3f9cb02e3f3ace587ad1b53f7baa153b6b3714720721c72a9ef3ec451663862f9cc1f014
+  languageName: node
+  linkType: hard
+
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   version: 0.2.3
   resolution: "@bcoe/v8-coverage@npm:0.2.3"
@@ -1643,6 +1895,17 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@choojs/findup@npm:^0.2.1":
+  version: 0.2.1
+  resolution: "@choojs/findup@npm:0.2.1"
+  dependencies:
+    commander: ^2.15.1
+  bin:
+    findup: bin/findup.js
+  checksum: 9496321caa276f2a560ebae0e7607ba009012e8eff16db68fb405561ec482606edecf1c5ce1956805d77721c2db34c4bd9e2e95a2be2eec1c5ae8bb289ed5fd2
+  languageName: node
+  linkType: hard
+
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   resolution: "@cnakazawa/watch@npm:1.0.4"
@@ -1971,6 +2234,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@colors/colors@npm:1.5.0":
+  version: 1.5.0
+  resolution: "@colors/colors@npm:1.5.0"
+  checksum: d64d5260bed1d5012ae3fc617d38d1afc0329fec05342f4e6b838f46998855ba56e0a73833f4a80fa8378c84810da254f76a8a19c39d038260dc06dc4e007425
+  languageName: node
+  linkType: hard
+
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   version: 17.0.3
   resolution: "@commitlint/cli@npm:17.0.3"
@@ -2338,6 +2608,656 @@ __metadata:
   languageName: node
   linkType: hard
 
+"@docsearch/css@npm:3.1.1":
+  version: 3.1.1
+  resolution: "@docsearch/css@npm:3.1.1"
+  checksum: bbcee5b5cf050bffd6d0e6123f0cbcf3167569998fda5ae1b6def54eb341f23f592a30830e655fc8485591f9950abe4d63767ce7dbc91f88dec25e42ee2d951a
+  languageName: node
+  linkType: hard
+
+"@docsearch/react@npm:^3.0.0-alpha.33":
+  version: 3.1.1
+  resolution: "@docsearch/react@npm:3.1.1"
+  dependencies:
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+    "@algolia/autocomplete-preset-algolia": 1.7.1
+    "@docsearch/css": 3.1.1
+    algoliasearch: ^4.0.0
+  peerDependencies:
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+    react: ">= 16.8.0 < 19.0.0"
+    react-dom: ">= 16.8.0 < 19.0.0"
+  checksum: 36035fc878b563e49b3aafc102372075118f2ebaea74b29f0048da6a92025ff9e14936706280f70003076aa5e9272eb6370f3564601a79660bd83bc62778934f
+  languageName: node
+  linkType: hard
+
+"@docusaurus/core@npm:2.0.0-alpha.73":
+  version: 2.0.0-alpha.73
+  resolution: "@docusaurus/core@npm:2.0.0-alpha.73"
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+    "@babel/generator": ^7.12.15
+    "@babel/plugin-proposal-nullish-coalescing-operator": ^7.12.13
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+    "@babel/plugin-transform-runtime": ^7.12.15
+    "@babel/preset-env": ^7.12.16
+    "@babel/preset-react": ^7.12.13
+    "@babel/preset-typescript": ^7.12.16
+    "@babel/runtime": ^7.12.5
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+    "@babel/traverse": ^7.12.13
+    "@docusaurus/cssnano-preset": 2.0.0-alpha.73
+    "@docusaurus/react-loadable": 5.5.0
+    "@docusaurus/types": 2.0.0-alpha.73
+    "@docusaurus/utils": 2.0.0-alpha.73
+    "@docusaurus/utils-validation": 2.0.0-alpha.73
+    "@endiliey/static-site-generator-webpack-plugin": ^4.0.0
+    "@svgr/webpack": ^5.5.0
+    autoprefixer: ^10.2.5
+    babel-loader: ^8.2.2
+    babel-plugin-dynamic-import-node: 2.3.0
+    boxen: ^5.0.0
+    cache-loader: ^4.1.0
+    chalk: ^4.1.0
+    chokidar: ^3.5.1
+    clean-css: ^5.1.1
+    commander: ^5.1.0
+    copy-webpack-plugin: ^6.4.1
+    core-js: ^3.9.1
+    css-loader: ^5.1.1
+    del: ^6.0.0
+    detect-port: ^1.3.0
+    eta: ^1.12.1
+    express: ^4.17.1
+    file-loader: ^6.2.0
+    fs-extra: ^9.1.0
+    github-slugger: ^1.3.0
+    globby: ^11.0.2
+    html-minifier-terser: ^5.1.1
+    html-tags: ^3.1.0
+    html-webpack-plugin: ^4.5.0
+    import-fresh: ^3.3.0
+    is-root: ^2.1.0
+    leven: ^3.1.0
+    lodash: ^4.17.20
+    mini-css-extract-plugin: ^0.8.0
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+    nprogress: ^0.2.0
+    null-loader: ^4.0.0
+    optimize-css-assets-webpack-plugin: ^5.0.4
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+    postcss: ^8.2.7
+    postcss-loader: ^4.1.0
+    prompts: ^2.4.0
+    react-dev-utils: ^11.0.1
+    react-helmet: ^6.1.0
+    react-loadable: ^5.5.0
+    react-loadable-ssr-addon: ^0.3.0
+    react-router: ^5.2.0
+    react-router-config: ^5.1.1
+    react-router-dom: ^5.2.0
+    resolve-pathname: ^3.0.0
+    rtl-detect: ^1.0.2
+    semver: ^7.3.4
+    serve-handler: ^6.1.3
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+    terser-webpack-plugin: ^4.1.0
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+    webpack-bundle-analyzer: ^4.4.0
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+    webpackbar: ^5.0.0-3
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+    react-dom: ^16.8.4 || ^17.0.0
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+  linkType: hard
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+  resolution: "@docusaurus/core@npm:2.0.0-beta.21"
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+    copy-webpack-plugin: ^11.0.0
+    core-js: ^3.22.7
+    css-loader: ^6.7.1
+    css-minimizer-webpack-plugin: ^4.0.0
+    cssnano: ^5.1.9
+    del: ^6.1.1
+    detect-port: ^1.3.0
+    escape-html: ^1.0.3
+    eta: ^1.12.3
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+    fs-extra: ^10.1.0
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+    html-tags: ^3.2.0
+    html-webpack-plugin: ^5.5.0
+    import-fresh: ^3.3.0
+    leven: ^3.1.0
+    lodash: ^4.17.21
+    mini-css-extract-plugin: ^2.6.0
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+    prompts: ^2.4.2
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+    react-helmet-async: ^1.3.0
+    react-loadable: "npm:@docusaurus/react-loadable@5.5.2"
+    react-loadable-ssr-addon-v5-slorber: ^1.0.1
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+    react-router-dom: ^5.3.3
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+  languageName: node
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+  languageName: node
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+
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+  languageName: node
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+
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+
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+  languageName: node
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+
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   linkType: hard
 
+"clsx@npm:^1.1.1":
+  version: 1.2.0
+  resolution: "clsx@npm:1.2.0"
+  checksum: 551a0b4f182270cf9ab26b5f4f93d3b01a663b66adeaff58e4c51bc5170a2bfaed03779513925c63d2d31d748c5bc4f1cbad7d3e76a051f5a9301754563ff43a
+  languageName: node
+  linkType: hard
+
 "co@npm:^4.6.0":
   version: 4.6.0
   resolution: "co@npm:4.6.0"
@@ -11538,6 +12932,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"code-point-at@npm:^1.0.0":
+  version: 1.1.0
+  resolution: "code-point-at@npm:1.1.0"
+  checksum: 17d5666611f9b16d64fdf48176d9b7fb1c7d1c1607a189f7e600040a11a6616982876af148230336adb7d8fe728a559f743a4e29db3747e3b1a32fa7f4529681
+  languageName: node
+  linkType: hard
+
 "codemirror-spell-checker@npm:1.1.2":
   version: 1.1.2
   resolution: "codemirror-spell-checker@npm:1.1.2"
@@ -11561,6 +12962,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"collapse-white-space@npm:^1.0.2":
+  version: 1.0.6
+  resolution: "collapse-white-space@npm:1.0.6"
+  checksum: 9673fb797952c5c888341435596c69388b22cd5560c8cd3f40edb72734a9c820f56a7c9525166bcb7068b5d5805372e6fd0c4b9f2869782ad070cb5d3faf26e7
+  languageName: node
+  linkType: hard
+
 "collect-v8-coverage@npm:^1.0.0":
   version: 1.0.1
   resolution: "collect-v8-coverage@npm:1.0.1"
@@ -11629,7 +13037,7 @@ __metadata:
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-"color@npm:^3.1.3":
+"color@npm:^3.0.0, color@npm:^3.1.3":
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   resolution: "color@npm:3.2.1"
   dependencies:
@@ -11698,6 +13106,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"combine-promises@npm:^1.1.0":
+  version: 1.1.0
+  resolution: "combine-promises@npm:1.1.0"
+  checksum: 23b55f66d5cea3ddf39608c07f7a96065c7bb7cc4f54c7f217040771262ad97e808b30f7f267c553a9ca95552fc9813fb465232f5d82e190e118b33238186af8
+  languageName: node
+  linkType: hard
+
 "combine-source-map@npm:^0.8.0, combine-source-map@npm:~0.8.0":
   version: 0.8.0
   resolution: "combine-source-map@npm:0.8.0"
@@ -11719,6 +13134,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"comma-separated-tokens@npm:^1.0.0":
+  version: 1.0.8
+  resolution: "comma-separated-tokens@npm:1.0.8"
+  checksum: 0adcb07174fa4d08cf0f5c8e3aec40a36b5ff0c2c720e5e23f50fe02e6789d1d00a67036c80e0c1e1539f41d3e7f0101b074039dd833b4e4a59031b659d6ca0d
+  languageName: node
+  linkType: hard
+
 "comma-separated-tokens@npm:^2.0.0":
   version: 2.0.2
   resolution: "comma-separated-tokens@npm:2.0.2"
@@ -11733,7 +13155,7 @@ __metadata:
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-"commander@npm:2, commander@npm:^2.11.0, commander@npm:^2.18.0, commander@npm:^2.19.0, commander@npm:^2.20.0":
+"commander@npm:2, commander@npm:^2.11.0, commander@npm:^2.15.1, commander@npm:^2.18.0, commander@npm:^2.19.0, commander@npm:^2.20.0":
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@@ -11756,14 +13178,14 @@ __metadata:
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-"commander@npm:^4.0.1":
+"commander@npm:^4.0.1, commander@npm:^4.1.1":
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   resolution: "commander@npm:4.1.1"
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   languageName: node
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-"commander@npm:^5.0.0":
+"commander@npm:^5.0.0, commander@npm:^5.1.0":
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   resolution: "commander@npm:5.1.0"
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@@ -11987,6 +13409,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"connect-history-api-fallback@npm:^2.0.0":
+  version: 2.0.0
+  resolution: "connect-history-api-fallback@npm:2.0.0"
+  checksum: dc5368690f4a5c413889792f8df70d5941ca9da44523cde3f87af0745faee5ee16afb8195434550f0504726642734f2683d6c07f8b460f828a12c45fbd4c9a68
+  languageName: node
+  linkType: hard
+
 "connect@npm:^3.6.5":
   version: 3.7.0
   resolution: "connect@npm:3.7.0"
@@ -11999,6 +13428,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"consola@npm:^2.15.3":
+  version: 2.15.3
+  resolution: "consola@npm:2.15.3"
+  checksum: 8ef7a09b703ec67ac5c389a372a33b6dc97eda6c9876443a60d76a3076eea0259e7f67a4e54fd5a52f97df73690822d090cf8b7e102b5761348afef7c6d03e28
+  languageName: node
+  linkType: hard
+
 "console-browserify@npm:^1.1.0":
   version: 1.2.0
   resolution: "console-browserify@npm:1.2.0"
@@ -12006,7 +13442,7 @@ __metadata:
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-"console-control-strings@npm:^1.0.0, console-control-strings@npm:^1.1.0":
+"console-control-strings@npm:^1.0.0, console-control-strings@npm:^1.1.0, console-control-strings@npm:~1.1.0":
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@@ -12020,6 +13456,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"content-disposition@npm:0.5.2":
+  version: 0.5.2
+  resolution: "content-disposition@npm:0.5.2"
+  checksum: 298d7da63255a38f7858ee19c7b6aae32b167e911293174b4c1349955e97e78e1d0b0d06c10e229405987275b417cf36ff65cbd4821a98bc9df4e41e9372cde7
+  languageName: node
+  linkType: hard
+
 "content-disposition@npm:0.5.4":
   version: 0.5.4
   resolution: "content-disposition@npm:0.5.4"
@@ -12221,6 +13664,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"copy-text-to-clipboard@npm:^3.0.0":
+  version: 3.0.1
+  resolution: "copy-text-to-clipboard@npm:3.0.1"
+  checksum: 4c301b9a65c8bf337e26a74d28849096651697fac829a364c463df81ba5ddfeea0741214f9f1232832fffd229ebd5659d3abcccea3fe54d7010a22e515cc38bc
+  languageName: node
+  linkType: hard
+
 "copy-webpack-plugin@npm:*, copy-webpack-plugin@npm:^11.0.0":
   version: 11.0.0
   resolution: "copy-webpack-plugin@npm:11.0.0"
@@ -12275,6 +13725,27 @@ __metadata:
   languageName: node
   linkType: hard
 
+"copy-webpack-plugin@npm:^6.4.1":
+  version: 6.4.1
+  resolution: "copy-webpack-plugin@npm:6.4.1"
+  dependencies:
+    cacache: ^15.0.5
+    fast-glob: ^3.2.4
+    find-cache-dir: ^3.3.1
+    glob-parent: ^5.1.1
+    globby: ^11.0.1
+    loader-utils: ^2.0.0
+    normalize-path: ^3.0.0
+    p-limit: ^3.0.2
+    schema-utils: ^3.0.0
+    serialize-javascript: ^5.0.1
+    webpack-sources: ^1.4.3
+  peerDependencies:
+    webpack: ^4.37.0 || ^5.0.0
+  checksum: b597938a6bb4a272ee94604e90088f1f9452309b5d41f377f81090ec69968e984c77764da76c9ad07c8692ec018abbe815fd685b9e74b57e2dd1f3180ada60ce
+  languageName: node
+  linkType: hard
+
 "core-js-compat@npm:^3.21.0, core-js-compat@npm:^3.22.1":
   version: 3.23.3
   resolution: "core-js-compat@npm:3.23.3"
@@ -12299,7 +13770,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"core-js@npm:^3.16.2, core-js@npm:^3.19.2":
+"core-js@npm:^3.16.2, core-js@npm:^3.19.2, core-js@npm:^3.22.7, core-js@npm:^3.9.1":
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@@ -12341,7 +13812,7 @@ __metadata:
   languageName: node
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-"cosmiconfig@npm:^5.0.5, cosmiconfig@npm:^5.1.0, cosmiconfig@npm:^5.2.1":
+"cosmiconfig@npm:^5.0.0, cosmiconfig@npm:^5.0.5, cosmiconfig@npm:^5.1.0, cosmiconfig@npm:^5.2.1":
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   resolution: "cosmiconfig@npm:5.2.1"
   dependencies:
@@ -12458,6 +13929,26 @@ __metadata:
   languageName: node
   linkType: hard
 
+"cross-fetch@npm:^3.1.5":
+  version: 3.1.5
+  resolution: "cross-fetch@npm:3.1.5"
+  dependencies:
+    node-fetch: 2.6.7
+  checksum: f6b8c6ee3ef993ace6277fd789c71b6acf1b504fd5f5c7128df4ef2f125a429e29cd62dc8c127523f04a5f2fa4771ed80e3f3d9695617f441425045f505cf3bb
+  languageName: node
+  linkType: hard
+
+"cross-spawn@npm:7.0.3, cross-spawn@npm:^7.0.1, cross-spawn@npm:^7.0.2, cross-spawn@npm:^7.0.3":
+  version: 7.0.3
+  resolution: "cross-spawn@npm:7.0.3"
+  dependencies:
+    path-key: ^3.1.0
+    shebang-command: ^2.0.0
+    which: ^2.0.1
+  checksum: 671cc7c7288c3a8406f3c69a3ae2fc85555c04169e9d611def9a675635472614f1c0ed0ef80955d5b6d4e724f6ced67f0ad1bb006c2ea643488fcfef994d7f52
+  languageName: node
+  linkType: hard
+
 "cross-spawn@npm:^0.2.3":
   version: 0.2.9
   resolution: "cross-spawn@npm:0.2.9"
@@ -12501,17 +13992,6 @@ __metadata:
   languageName: node
   linkType: hard
 
-"cross-spawn@npm:^7.0.1, cross-spawn@npm:^7.0.2, cross-spawn@npm:^7.0.3":
-  version: 7.0.3
-  resolution: "cross-spawn@npm:7.0.3"
-  dependencies:
-    path-key: ^3.1.0
-    shebang-command: ^2.0.0
-    which: ^2.0.1
-  checksum: 671cc7c7288c3a8406f3c69a3ae2fc85555c04169e9d611def9a675635472614f1c0ed0ef80955d5b6d4e724f6ced67f0ad1bb006c2ea643488fcfef994d7f52
-  languageName: node
-  linkType: hard
-
 "crypto-browserify@npm:^3.0.0, crypto-browserify@npm:^3.11.0":
   version: 3.12.0
   resolution: "crypto-browserify@npm:3.12.0"
@@ -12574,6 +14054,23 @@ __metadata:
   languageName: node
   linkType: hard
 
+"css-color-names@npm:0.0.4, css-color-names@npm:^0.0.4":
+  version: 0.0.4
+  resolution: "css-color-names@npm:0.0.4"
+  checksum: 9c6106320430a9da3a13daab8d8b4def39113edbfb68042444585d9a214af5fd5cb384b9be45124bc75f88261d461b517e00e278f4d2e0ab5a619b182f9f0e2d
+  languageName: node
+  linkType: hard
+
+"css-declaration-sorter@npm:^4.0.1":
+  version: 4.0.1
+  resolution: "css-declaration-sorter@npm:4.0.1"
+  dependencies:
+    postcss: ^7.0.1
+    timsort: ^0.3.0
+  checksum: c38c00245c6706bd1127a6a2807bbdea3a2621c1f4e4bcb4710f6736c15c4ec414e02213adeab2171623351616090cb96374f683b90ec2aad18903066c4526d7
+  languageName: node
+  linkType: hard
+
 "css-declaration-sorter@npm:^6.3.0":
   version: 6.3.0
   resolution: "css-declaration-sorter@npm:6.3.0"
@@ -12614,7 +14111,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"css-loader@npm:^5.0.1, css-loader@npm:^5.1.0, css-loader@npm:^5.1.3, css-loader@npm:^5.2.0, css-loader@npm:^5.2.6":
+"css-loader@npm:^5.0.1, css-loader@npm:^5.1.0, css-loader@npm:^5.1.1, css-loader@npm:^5.1.3, css-loader@npm:^5.2.0, css-loader@npm:^5.2.6":
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   resolution: "css-loader@npm:5.2.7"
   dependencies:
@@ -12703,6 +14200,31 @@ __metadata:
   languageName: node
   linkType: hard
 
+"css-minimizer-webpack-plugin@npm:^4.0.0":
+  version: 4.0.0
+  resolution: "css-minimizer-webpack-plugin@npm:4.0.0"
+  dependencies:
+    cssnano: ^5.1.8
+    jest-worker: ^27.5.1
+    postcss: ^8.4.13
+    schema-utils: ^4.0.0
+    serialize-javascript: ^6.0.0
+    source-map: ^0.6.1
+  peerDependencies:
+    webpack: ^5.0.0
+  peerDependenciesMeta:
+    "@parcel/css":
+      optional: true
+    clean-css:
+      optional: true
+    csso:
+      optional: true
+    esbuild:
+      optional: true
+  checksum: 18487ee9aacdb0cc4e9fc1921f5d7a519c94203332b845b9a6d95434365d275fafff7dbfe21355347b8bbb8266078b7e60f7bac771f15eb30dfed5a29016debc
+  languageName: node
+  linkType: hard
+
 "css-prefers-color-scheme@npm:^6.0.3":
   version: 6.0.3
   resolution: "css-prefers-color-scheme@npm:6.0.3"
@@ -12746,6 +14268,18 @@ __metadata:
   languageName: node
   linkType: hard
 
+"css-select@npm:~1.2.0":
+  version: 1.2.0
+  resolution: "css-select@npm:1.2.0"
+  dependencies:
+    boolbase: ~1.0.0
+    css-what: 2.1
+    domutils: 1.5.1
+    nth-check: ~1.0.1
+  checksum: 607cca60d2f5c56701fe5f800bbe668b114395c503d4e4808edbbbe70b8be3c96a6407428dc0227fcbdf335b20468e6a9e7fd689185edfb57d402e1e4837c9b7
+  languageName: node
+  linkType: hard
+
 "css-to-react-native@npm:^3.0.0":
   version: 3.0.0
   resolution: "css-to-react-native@npm:3.0.0"
@@ -12777,6 +14311,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"css-what@npm:2.1":
+  version: 2.1.3
+  resolution: "css-what@npm:2.1.3"
+  checksum: a52d56c591a7e1c37506d0d8c4fdef72537fb8eb4cb68711485997a88d76b5a3342b73a7c79176268f95b428596c447ad7fa3488224a6b8b532e2f1f2ee8545c
+  languageName: node
+  linkType: hard
+
 "css-what@npm:^3.2.1":
   version: 3.4.2
   resolution: "css-what@npm:3.4.2"
@@ -12825,6 +14366,74 @@ __metadata:
   languageName: node
   linkType: hard
 
+"cssnano-preset-advanced@npm:^4.0.7":
+  version: 4.0.8
+  resolution: "cssnano-preset-advanced@npm:4.0.8"
+  dependencies:
+    autoprefixer: ^9.4.7
+    cssnano-preset-default: ^4.0.8
+    postcss-discard-unused: ^4.0.1
+    postcss-merge-idents: ^4.0.1
+    postcss-reduce-idents: ^4.0.2
+    postcss-zindex: ^4.0.1
+  checksum: 0aff8ef48377cf707a7ab2a5626fea92556096e0bc34d7f90284f05e34ef26f736cc2cebd7e83b624f21c272336fce526ba6197dac5a1970880d009a3fd9dad6
+  languageName: node
+  linkType: hard
+
+"cssnano-preset-advanced@npm:^5.3.5":
+  version: 5.3.8
+  resolution: "cssnano-preset-advanced@npm:5.3.8"
+  dependencies:
+    autoprefixer: ^10.3.7
+    cssnano-preset-default: ^5.2.12
+    postcss-discard-unused: ^5.1.0
+    postcss-merge-idents: ^5.1.1
+    postcss-reduce-idents: ^5.2.0
+    postcss-zindex: ^5.1.0
+  peerDependencies:
+    postcss: ^8.2.15
+  checksum: ba18332d39b629393931410779b1e15f7f6019aa223fa419fad4ee9eecfa586f3f9e659acabb83a91db8998c95d91efc43d15551cfadbf8b587c5a90bf9002d9
+  languageName: node
+  linkType: hard
+
+"cssnano-preset-default@npm:^4.0.8":
+  version: 4.0.8
+  resolution: "cssnano-preset-default@npm:4.0.8"
+  dependencies:
+    css-declaration-sorter: ^4.0.1
+    cssnano-util-raw-cache: ^4.0.1
+    postcss: ^7.0.0
+    postcss-calc: ^7.0.1
+    postcss-colormin: ^4.0.3
+    postcss-convert-values: ^4.0.1
+    postcss-discard-comments: ^4.0.2
+    postcss-discard-duplicates: ^4.0.2
+    postcss-discard-empty: ^4.0.1
+    postcss-discard-overridden: ^4.0.1
+    postcss-merge-longhand: ^4.0.11
+    postcss-merge-rules: ^4.0.3
+    postcss-minify-font-values: ^4.0.2
+    postcss-minify-gradients: ^4.0.2
+    postcss-minify-params: ^4.0.2
+    postcss-minify-selectors: ^4.0.2
+    postcss-normalize-charset: ^4.0.1
+    postcss-normalize-display-values: ^4.0.2
+    postcss-normalize-positions: ^4.0.2
+    postcss-normalize-repeat-style: ^4.0.2
+    postcss-normalize-string: ^4.0.2
+    postcss-normalize-timing-functions: ^4.0.2
+    postcss-normalize-unicode: ^4.0.1
+    postcss-normalize-url: ^4.0.1
+    postcss-normalize-whitespace: ^4.0.2
+    postcss-ordered-values: ^4.1.2
+    postcss-reduce-initial: ^4.0.3
+    postcss-reduce-transforms: ^4.0.2
+    postcss-svgo: ^4.0.3
+    postcss-unique-selectors: ^4.0.1
+  checksum: eb32c9fdd8bd4683e33d62284b6a9c4eb705b745235f4bb51a5571e1eb6738f636958fc9a6218fb51de43e0e2f74386a705b4c7ff2d1dcc611647953ba6ce159
+  languageName: node
+  linkType: hard
+
 "cssnano-preset-default@npm:^5.2.12":
   version: 5.2.12
   resolution: "cssnano-preset-default@npm:5.2.12"
@@ -12864,6 +14473,36 @@ __metadata:
   languageName: node
   linkType: hard
 
+"cssnano-util-get-arguments@npm:^4.0.0":
+  version: 4.0.0
+  resolution: "cssnano-util-get-arguments@npm:4.0.0"
+  checksum: 34222a1e848d573b74892eda7d7560c5422efa56f87d2b5242f9791593c6aa4ddc9d55e8e1708fb2f0d6f87c456314b78d93d3eec97d946ff756c63b09b72222
+  languageName: node
+  linkType: hard
+
+"cssnano-util-get-match@npm:^4.0.0":
+  version: 4.0.0
+  resolution: "cssnano-util-get-match@npm:4.0.0"
+  checksum: 56eacea0eb3d923359c9714ab25edde5eb4859e495954615d5529e81cdfabc2d41b57055c7f6a2f08e7d89df3a2794ef659306b539505d7f4e7202b897396fc2
+  languageName: node
+  linkType: hard
+
+"cssnano-util-raw-cache@npm:^4.0.1":
+  version: 4.0.1
+  resolution: "cssnano-util-raw-cache@npm:4.0.1"
+  dependencies:
+    postcss: ^7.0.0
+  checksum: 66a23e5e5255ff65d0f49f135d0ddfdb96433aeceb2708a31e4b4a652110755f103f6c91e0f439c8f3052818eb2b04ebf6334680a810296290e2c3467c14202b
+  languageName: node
+  linkType: hard
+
+"cssnano-util-same-parent@npm:^4.0.0":
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+  resolution: "cssnano-util-same-parent@npm:4.0.1"
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+  languageName: node
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+  languageName: node
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+  resolution: "entities@npm:1.1.2"
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+  languageName: node
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+  languageName: node
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+  resolution: "fast-url-parser@npm:1.1.3"
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+  resolution: "fbemitter@npm:3.0.0"
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+  languageName: node
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+  languageName: node
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+  resolution: "fbjs@npm:3.0.4"
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+    object-assign: ^4.1.0
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+  languageName: node
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+
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+  resolution: "feed@npm:4.2.2"
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+
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   resolution: "figgy-pudding@npm:3.5.2"
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+  resolution: "filesize@npm:6.1.0"
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+  languageName: node
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+
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+  resolution: "find-up@npm:4.1.0"
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+  languageName: node
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+
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-  languageName: node
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+  resolution: "flux@npm:4.0.3"
+  dependencies:
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+
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+  resolution: "fork-ts-checker-webpack-plugin@npm:4.1.6"
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+  languageName: node
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+
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+  resolution: "gauge@npm:2.7.4"
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+  languageName: node
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+
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+  resolution: "katex@npm:0.12.0"
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+
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+
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+  resolution: "mdast-util-to-hast@npm:10.0.1"
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+  languageName: node
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+
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+  resolution: "mdast-util-to-string@npm:2.0.0"
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+  languageName: node
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+
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+  languageName: node
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+  languageName: node
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+  languageName: node
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+
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+
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+  languageName: node
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+
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+    semver: ^7.3.2
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+  languageName: node
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+  languageName: node
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+    meow: ^9.0.0
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+    node-gyp: ^7.1.0
+    npmlog: ^4.0.0
+    request: ^2.88.0
+    sass-graph: 2.2.5
+    stdout-stream: ^1.4.0
+    true-case-path: ^1.0.2
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+  languageName: node
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+
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+  resolution: "normalize-url@npm:3.3.0"
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+  languageName: node
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+
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+  resolution: "npmlog@npm:4.1.2"
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+  languageName: node
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+
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-"nth-check@npm:^1.0.2":
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+  resolution: "nprogress@npm:0.2.0"
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+  languageName: node
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+  resolution: "null-loader@npm:4.0.1"
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+  languageName: node
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+
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+  languageName: node
+  linkType: hard
+
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+  resolution: "optimize-css-assets-webpack-plugin@npm:5.0.8"
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+  languageName: node
+  linkType: hard
+
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+  resolution: "parse-entities@npm:2.0.0"
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+  languageName: node
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+
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@@ -25181,6 +27775,13 @@ __metadata:
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+"parse-numeric-range@npm:^1.2.0":
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+  resolution: "parse-numeric-range@npm:1.3.0"
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+  languageName: node
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+
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   resolution: "parseurl@npm:1.3.3"
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@@ -25350,6 +27958,22 @@ __metadata:
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+  resolution: "path-to-regexp@npm:2.2.1"
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+  resolution: "path-to-regexp@npm:1.8.0"
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+  languageName: node
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+  resolution: "pnp-webpack-plugin@npm:1.7.0"
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+  resolution: "postcss-calc@npm:7.0.5"
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+  languageName: node
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+  resolution: "postcss-colormin@npm:4.0.3"
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+    color: ^3.0.0
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+  languageName: node
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+  resolution: "postcss-convert-values@npm:4.0.1"
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+  languageName: node
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+  resolution: "postcss-discard-comments@npm:4.0.2"
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+  languageName: node
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+  resolution: "postcss-discard-duplicates@npm:4.0.2"
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+  languageName: node
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+  resolution: "postcss-discard-empty@npm:4.0.1"
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+  languageName: node
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+
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+  resolution: "postcss-discard-overridden@npm:4.0.1"
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+  languageName: node
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+
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@@ -25768,6 +28471,28 @@ __metadata:
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+"postcss-discard-unused@npm:^4.0.1":
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+  resolution: "postcss-discard-unused@npm:4.0.1"
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+  languageName: node
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+  resolution: "postcss-discard-unused@npm:5.1.0"
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+
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+"postcss-loader@npm:^4.1.0":
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+  resolution: "postcss-loader@npm:4.3.0"
+  dependencies:
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+    loader-utils: ^2.0.0
+    schema-utils: ^3.0.0
+    semver: ^7.3.4
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+    webpack: ^4.0.0 || ^5.0.0
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+  languageName: node
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+
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+"postcss-merge-idents@npm:^4.0.1":
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+  resolution: "postcss-merge-idents@npm:4.0.1"
+  dependencies:
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+    has: ^1.0.0
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+    postcss-value-parser: ^3.0.0
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+  languageName: node
+  linkType: hard
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+"postcss-merge-idents@npm:^5.1.1":
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+  resolution: "postcss-merge-idents@npm:5.1.1"
+  dependencies:
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+    postcss-value-parser: ^4.2.0
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+  languageName: node
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+  resolution: "postcss-merge-longhand@npm:4.0.11"
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+    postcss: ^7.0.0
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+  languageName: node
+  linkType: hard
+
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   resolution: "postcss-merge-longhand@npm:5.1.6"
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+"postcss-merge-rules@npm:^4.0.3":
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+  resolution: "postcss-merge-rules@npm:4.0.3"
+  dependencies:
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+    caniuse-api: ^3.0.0
+    cssnano-util-same-parent: ^4.0.0
+    postcss: ^7.0.0
+    postcss-selector-parser: ^3.0.0
+    vendors: ^1.0.0
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+  languageName: node
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+
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+"postcss-minify-font-values@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-minify-font-values@npm:4.0.2"
+  dependencies:
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+  languageName: node
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+
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   resolution: "postcss-minify-font-values@npm:5.1.0"
@@ -25997,6 +28798,18 @@ __metadata:
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+"postcss-minify-gradients@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-minify-gradients@npm:4.0.2"
+  dependencies:
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+    is-color-stop: ^1.0.0
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+  languageName: node
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+
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   resolution: "postcss-minify-gradients@npm:5.1.1"
@@ -26010,6 +28823,20 @@ __metadata:
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+"postcss-minify-params@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-minify-params@npm:4.0.2"
+  dependencies:
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+    browserslist: ^4.0.0
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+    postcss: ^7.0.0
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+    uniqs: ^2.0.0
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+  languageName: node
+  linkType: hard
+
 "postcss-minify-params@npm:^5.1.3":
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   resolution: "postcss-minify-params@npm:5.1.3"
@@ -26023,6 +28850,18 @@ __metadata:
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+"postcss-minify-selectors@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-minify-selectors@npm:4.0.2"
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+  languageName: node
+  linkType: hard
+
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   resolution: "postcss-minify-selectors@npm:5.2.1"
@@ -26142,6 +28981,15 @@ __metadata:
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+"postcss-normalize-charset@npm:^4.0.1":
+  version: 4.0.1
+  resolution: "postcss-normalize-charset@npm:4.0.1"
+  dependencies:
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+  languageName: node
+  linkType: hard
+
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   resolution: "postcss-normalize-charset@npm:5.1.0"
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+"postcss-normalize-display-values@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-normalize-display-values@npm:4.0.2"
+  dependencies:
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+    postcss: ^7.0.0
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+  languageName: node
+  linkType: hard
+
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   resolution: "postcss-normalize-display-values@npm:5.1.0"
@@ -26162,6 +29021,18 @@ __metadata:
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+"postcss-normalize-positions@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-normalize-positions@npm:4.0.2"
+  dependencies:
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+    has: ^1.0.0
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+  languageName: node
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+
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   resolution: "postcss-normalize-positions@npm:5.1.1"
@@ -26173,6 +29044,18 @@ __metadata:
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+"postcss-normalize-repeat-style@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-normalize-repeat-style@npm:4.0.2"
+  dependencies:
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+  languageName: node
+  linkType: hard
+
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   resolution: "postcss-normalize-repeat-style@npm:5.1.1"
@@ -26184,6 +29067,17 @@ __metadata:
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+"postcss-normalize-string@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-normalize-string@npm:4.0.2"
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+  languageName: node
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+
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   resolution: "postcss-normalize-string@npm:5.1.0"
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+"postcss-normalize-timing-functions@npm:^4.0.2":
+  version: 4.0.2
+  resolution: "postcss-normalize-timing-functions@npm:4.0.2"
+  dependencies:
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+  languageName: node
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+  resolution: "postcss-normalize-url@npm:4.0.1"
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+  resolution: "postcss-reduce-transforms@npm:4.0.2"
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+  languageName: node
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+  languageName: node
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+  languageName: node
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+  resolution: "pretty-time@npm:1.1.0"
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+  languageName: node
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+  resolution: "prism-react-renderer@npm:1.3.5"
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+  languageName: node
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+  languageName: node
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+
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+"promise@npm:^7.1.1":
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+  resolution: "promise@npm:7.3.1"
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+  languageName: node
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+
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   resolution: "promise@npm:8.1.0"
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+  languageName: node
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+
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+  languageName: node
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+
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+"queue@npm:6.0.2":
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+  languageName: node
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+  resolution: "react-base16-styling@npm:0.6.0"
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+"require-like@npm:>= 0.1.1":
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+  resolution: "require-like@npm:0.1.2"
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+  languageName: node
+  linkType: hard
+
 "require-main-filename@npm:^2.0.0":
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   resolution: "require-main-filename@npm:2.0.0"
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+"resolve-pathname@npm:^3.0.0":
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+  resolution: "resolve-pathname@npm:3.0.0"
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+  languageName: node
+  linkType: hard
+
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   resolution: "resolve-url-loader@npm:4.0.0"
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+  resolution: "rgb-regex@npm:1.0.1"
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+  languageName: node
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+
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+  resolution: "rgba-regex@npm:1.0.0"
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+  languageName: node
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+
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   resolution: "rimraf@npm:2.7.1"
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+"rtl-detect@npm:^1.0.2, rtl-detect@npm:^1.0.4":
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+  resolution: "rtl-detect@npm:1.0.4"
+  checksum: d562535baa0db62f57f0a1d4676297bff72fd6b94e88f0f0900d5c3e810ab512c5c4cadffd3e05fbe8d9c74310c919afa3ea8c1001c244e5555e8eef12d02d6f
+  languageName: node
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+
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+  resolution: "rtlcss@npm:2.6.2"
+  dependencies:
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+    chalk: ^2.4.2
+    mkdirp: ^0.5.1
+    postcss: ^6.0.23
+    strip-json-comments: ^2.0.0
+  bin:
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+  checksum: 78ee29d26adf34fa41feb6576d80ab1422f71607cf67830bf2e7beeef603bdbb3bce0716e4326655dcba57635f19fbfd8dec932b25ef2e299f3499e8d18ee1de
+  languageName: node
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+
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+"rxjs@npm:^6.6.3":
+  version: 6.6.7
+  resolution: "rxjs@npm:6.6.7"
+  dependencies:
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+  languageName: node
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+
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+  resolution: "sass-graph@npm:2.2.5"
+  dependencies:
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+    lodash: ^4.0.0
+    scss-tokenizer: ^0.2.3
+    yargs: ^13.3.2
+  bin:
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+  checksum: 283b6e5a38c8b4fca77cdc4fc1da9641679120dba80e89361c82b6a3975f90d01cc78129f9f8fd148822e5a648f540c58c9a38b8c2b11ca97abc4f381613c013
+  languageName: node
+  linkType: hard
+
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+"scss-tokenizer@npm:^0.2.3":
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+  resolution: "scss-tokenizer@npm:0.2.3"
+  dependencies:
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+  languageName: node
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+
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+  resolution: "section-matter@npm:1.0.0"
+  dependencies:
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+    kind-of: ^6.0.0
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+  languageName: node
+  linkType: hard
+
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+  resolution: "serialize-javascript@npm:5.0.1"
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+  checksum: bb45a427690c3d2711e28499de0fbf25036af1e23c63c6a9237ed0aa572fd0941fcdefe50a2dccf26d9df8c8b86ae38659e19d8ba7afd3fbc1f1c7539a2a48d2
+  languageName: node
+  linkType: hard
+
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   resolution: "serialize-javascript@npm:6.0.0"
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+  resolution: "serve-handler@npm:6.1.3"
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+  languageName: node
+  linkType: hard
+
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   resolution: "serve-index@npm:1.9.1"
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+  resolution: "shell-quote@npm:1.7.2"
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+  languageName: node
+  linkType: hard
+
 "shell-quote@npm:^1.4.2, shell-quote@npm:^1.6.1, shell-quote@npm:^1.7.2, shell-quote@npm:^1.7.3":
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+"shelljs@npm:^0.8.4, shelljs@npm:^0.8.5":
+  version: 0.8.5
+  resolution: "shelljs@npm:0.8.5"
+  dependencies:
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+    interpret: ^1.0.0
+    rechoir: ^0.6.2
+  bin:
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+  checksum: 7babc46f732a98f4c054ec1f048b55b9149b98aa2da32f6cf9844c434b43c6251efebd6eec120937bd0999e13811ebd45efe17410edb3ca938f82f9381302748
+  languageName: node
+  linkType: hard
+
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   resolution: "side-channel@npm:1.0.4"
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+"sirv@npm:^1.0.7":
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+  resolution: "sirv@npm:1.0.19"
+  dependencies:
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+    mrmime: ^1.0.0
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+  languageName: node
+  linkType: hard
+
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   resolution: "sisteransi@npm:1.0.5"
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+  resolution: "sitemap@npm:6.4.0"
+  dependencies:
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+    "@types/sax": ^1.2.1
+    arg: ^5.0.0
+    sax: ^1.2.4
+  bin:
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+  checksum: 499f6929cc6faef45944509705e8c07b7062be0ea1643ecdc6e489b32652c7ca44da4949861fcac62b9044eb6c3ff3049478d06f27019a3c230409aca377c71a
+  languageName: node
+  linkType: hard
+
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   resolution: "slash@npm:1.0.0"
@@ -30341,6 +34032,20 @@ __metadata:
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+  resolution: "sort-css-media-queries@npm:1.5.0"
+  checksum: 20c6b571f6818721613843f91b34e4ace5e33b5ab11211577ab12135b45ac718ae853892b789029ba33437b0e514f85ba8a79f13aa0481f5ba460f1552be278e
+  languageName: node
+  linkType: hard
+
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+  resolution: "sort-css-media-queries@npm:2.0.4"
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+  languageName: node
+  linkType: hard
+
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   resolution: "sort-keys@npm:1.1.2"
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-"source-map@npm:^0.5.3, source-map@npm:^0.5.6, source-map@npm:^0.5.7, source-map@npm:~0.5.3":
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+  resolution: "source-map@npm:0.4.4"
+  dependencies:
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+  languageName: node
+  linkType: hard
+
+"source-map@npm:^0.5.0, source-map@npm:^0.5.3, source-map@npm:^0.5.6, source-map@npm:^0.5.7, source-map@npm:~0.5.3":
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+"space-separated-tokens@npm:^1.0.0":
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+  resolution: "space-separated-tokens@npm:1.1.5"
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+  languageName: node
+  linkType: hard
+
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@@ -30721,6 +34442,13 @@ __metadata:
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+"state-toggle@npm:^1.0.0":
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+  resolution: "state-toggle@npm:1.0.3"
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+  languageName: node
+  linkType: hard
+
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   resolution: "static-extend@npm:0.1.2"
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+"std-env@npm:^2.2.1":
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+  resolution: "std-env@npm:2.3.1"
+  dependencies:
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+  languageName: node
+  linkType: hard
+
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+  languageName: node
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+
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+"string-width@npm:^1.0.1":
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+  resolution: "string-width@npm:1.0.2"
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+  languageName: node
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+
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+  resolution: "strip-ansi@npm:6.0.0"
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+  languageName: node
+  linkType: hard
+
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   resolution: "strip-ansi@npm:3.0.1"
@@ -31057,6 +34821,13 @@ __metadata:
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+"strip-bom-string@npm:^1.0.0":
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+  resolution: "strip-bom-string@npm:1.0.0"
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+  languageName: node
+  linkType: hard
+
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   resolution: "strip-bom@npm:3.0.0"
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+  resolution: "strip-json-comments@npm:2.0.1"
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+  languageName: node
+  linkType: hard
+
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   resolution: "strip-json-comments@npm:3.1.1"
@@ -31115,13 +34893,6 @@ __metadata:
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-"strip-json-comments@npm:~2.0.1":
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-  languageName: node
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-
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@@ -31208,6 +34979,15 @@ __metadata:
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+  resolution: "style-to-object@npm:0.3.0"
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+  languageName: node
+  linkType: hard
+
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   resolution: "styled-components@npm:5.3.5"
@@ -31230,6 +35010,17 @@ __metadata:
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+  resolution: "stylehacks@npm:4.0.3"
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+    postcss: ^7.0.0
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+  languageName: node
+  linkType: hard
+
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   resolution: "stylehacks@npm:5.1.0"
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+  resolution: "terser-webpack-plugin@npm:4.2.3"
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+    jest-worker: ^26.5.0
+    p-limit: ^3.0.2
+    schema-utils: ^3.0.0
+    serialize-javascript: ^5.0.1
+    source-map: ^0.6.1
+    terser: ^5.3.4
+    webpack-sources: ^1.4.3
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+  languageName: node
+  linkType: hard
+
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@@ -31846,7 +35656,14 @@ __metadata:
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-"tiny-invariant@npm:^1.0.6":
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+  version: 0.3.0
+  resolution: "timsort@npm:0.3.0"
+  checksum: 1a66cb897dacabd7dd7c91b7e2301498ca9e224de2edb9e42d19f5b17c4b6dc62a8d4cbc64f28be82aaf1541cb5a78ab49aa818f42a2989ebe049a64af731e2a
+  languageName: node
+  linkType: hard
+
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-"tiny-warning@npm:^1.0.3":
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@@ -31990,6 +35807,13 @@ __metadata:
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+"totalist@npm:^1.0.0":
+  version: 1.1.0
+  resolution: "totalist@npm:1.1.0"
+  checksum: dfab80c7104a1d170adc8c18782d6c04b7df08352dec452191208c66395f7ef2af7537ddfa2cf1decbdcfab1a47afbbf0dec6543ea191da98c1c6e1599f86adc
+  languageName: node
+  linkType: hard
+
 "tough-cookie@npm:^4.0.0":
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   resolution: "tough-cookie@npm:4.0.0"
@@ -32068,6 +35892,27 @@ __metadata:
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+"trim-trailing-lines@npm:^1.0.0":
+  version: 1.1.4
+  resolution: "trim-trailing-lines@npm:1.1.4"
+  checksum: 5d39d21c0d4b258667012fcd784f73129e148ea1c213b1851d8904f80499fc91df6710c94c7dd49a486a32da2b9cb86020dda79f285a9a2586cfa622f80490c2
+  languageName: node
+  linkType: hard
+
+"trim@npm:0.0.1":
+  version: 0.0.1
+  resolution: "trim@npm:0.0.1"
+  checksum: 2b4646dff99a222e8e1526edd4e3a43bbd925af0b8e837c340455d250157e7deefaa4da49bb891ab841e5c27b1afc5e9e32d4b57afb875d2dfcabf4e319b8f7f
+  languageName: node
+  linkType: hard
+
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+  resolution: "trough@npm:1.0.5"
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+  languageName: node
+  linkType: hard
+
 "trough@npm:^2.0.0":
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   resolution: "trough@npm:2.1.0"
@@ -32249,6 +36094,16 @@ __metadata:
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+"ts-pnp@npm:^1.1.6":
+  version: 1.2.0
+  resolution: "ts-pnp@npm:1.2.0"
+  peerDependenciesMeta:
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+  checksum: c2a698b85d521298fe6f2435fbf2d3dc5834b423ea25abd321805ead3f399dbeedce7ca09492d7eb005b9d2c009c6b9587055bc3ab273dc6b9e40eefd7edb5b2
+  languageName: node
+  linkType: hard
+
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   resolution: "tsconfig-paths@npm:3.14.1"
@@ -32261,14 +36116,14 @@ __metadata:
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-"tslib@npm:^1.8.1":
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-"tslib@npm:^2.0.0, tslib@npm:^2.0.1, tslib@npm:^2.0.3, tslib@npm:^2.1.0, tslib@npm:^2.3.0, tslib@npm:^2.3.1":
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@@ -32411,6 +36266,13 @@ __metadata:
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+"type-fest@npm:^2.5.0":
+  version: 2.16.0
+  resolution: "type-fest@npm:2.16.0"
+  checksum: 897fc5f6833de5ade5c4841d034bdfb6aaa168f24f725354ad13320b2a463b9df03a7a664b836b4c3bc7d9f92b22a25c26fe24668a35caf3b7a9ea5fcb847b8d
+  languageName: node
+  linkType: hard
+
 "type-is@npm:~1.6.18":
   version: 1.6.18
   resolution: "type-is@npm:1.6.18"
@@ -32496,6 +36358,13 @@ __metadata:
   languageName: node
   linkType: hard
 
+"ua-parser-js@npm:^0.7.30":
+  version: 0.7.31
+  resolution: "ua-parser-js@npm:0.7.31"
+  checksum: e2f8324a83d1715601576af85b2b6c03890699aaa7272950fc77ea925c70c5e4f75060ae147dc92124e49f7f0e3d6dd2b0a91e7f40d267e92df8894be967ba8b
+  languageName: node
+  linkType: hard
+
 "uc.micro@npm:^1.0.1, uc.micro@npm:^1.0.5":
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   resolution: "uc.micro@npm:1.0.6"
@@ -32584,6 +36453,16 @@ __metadata:
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   linkType: hard
 
+"unherit@npm:^1.0.4":
+  version: 1.1.3
+  resolution: "unherit@npm:1.1.3"
+  dependencies:
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+    xtend: ^4.0.0
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+  languageName: node
+  linkType: hard
+
 "unicode-canonical-property-names-ecmascript@npm:^2.0.0":
   version: 2.0.0
   resolution: "unicode-canonical-property-names-ecmascript@npm:2.0.0"
@@ -32624,6 +36503,20 @@ __metadata:
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+"unified@npm:9.2.0":
+  version: 9.2.0
+  resolution: "unified@npm:9.2.0"
+  dependencies:
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+    extend: ^3.0.0
+    is-buffer: ^2.0.0
+    is-plain-obj: ^2.0.0
+    trough: ^1.0.0
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+  languageName: node
+  linkType: hard
+
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   resolution: "unified@npm:10.1.2"
@@ -32639,6 +36532,33 @@ __metadata:
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+"unified@npm:^8.4.2":
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+  resolution: "unified@npm:8.4.2"
+  dependencies:
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+    extend: ^3.0.0
+    is-plain-obj: ^2.0.0
+    trough: ^1.0.0
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+  languageName: node
+  linkType: hard
+
+"unified@npm:^9.0.0":
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+  resolution: "unified@npm:9.2.2"
+  dependencies:
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+    extend: ^3.0.0
+    is-buffer: ^2.0.0
+    is-plain-obj: ^2.0.0
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+  languageName: node
+  linkType: hard
+
 "union-value@npm:^1.0.0":
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   resolution: "union-value@npm:1.0.1"
@@ -32669,6 +36589,20 @@ __metadata:
   languageName: node
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+"uniq@npm:^1.0.1":
+  version: 1.0.1
+  resolution: "uniq@npm:1.0.1"
+  checksum: 8206535f83745ea83f9da7035f3b983fd6ed5e35b8ed7745441944e4065b616bc67cf0d0a23a86b40ee0074426f0607f0a138f9b78e124eb6a7a6a6966055709
+  languageName: node
+  linkType: hard
+
+"uniqs@npm:^2.0.0":
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+  resolution: "uniqs@npm:2.0.0"
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+  languageName: node
+  linkType: hard
+
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   resolution: "unique-filename@npm:1.1.1"
@@ -32705,6 +36639,36 @@ __metadata:
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+"unist-builder@npm:2.0.3, unist-builder@npm:^2.0.0":
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+  resolution: "unist-builder@npm:2.0.3"
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+  languageName: node
+  linkType: hard
+
+"unist-util-find-after@npm:^3.0.0":
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+  resolution: "unist-util-find-after@npm:3.0.0"
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+  languageName: node
+  linkType: hard
+
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+  resolution: "unist-util-generated@npm:1.1.6"
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+  languageName: node
+  linkType: hard
+
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+  resolution: "unist-util-is@npm:4.1.0"
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+  languageName: node
+  linkType: hard
+
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   resolution: "unist-util-is@npm:5.1.1"
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+  resolution: "unist-util-position@npm:3.1.0"
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+  languageName: node
+  linkType: hard
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+  resolution: "unist-util-remove-position@npm:2.0.1"
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+  languageName: node
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+  version: 1.0.5
+  resolution: "zwitch@npm:1.0.5"
+  checksum: 28a1bebacab3bc60150b6b0a2ba1db2ad033f068e81f05e4892ec0ea13ae63f5d140a1d692062ac0657840c8da076f35b94433b5f1c329d7803b247de80f064a
+  languageName: node
+  linkType: hard
+
 "zwitch@npm:^2.0.0":
   version: 2.0.2
   resolution: "zwitch@npm:2.0.2"