diff --git a/.claude/settings.local.json b/.claude/settings.local.json
index d3259e7..21fd6d8 100644
--- a/.claude/settings.local.json
+++ b/.claude/settings.local.json
@@ -2,7 +2,11 @@
   "permissions": {
     "allow": [
       "Bash(npx tailwindcss:*)",
-      "Bash(npm install)"
+      "Bash(npm install)",
+      "Bash(grep -E \"\\\\.\\(html|css|js|yml|json|scss\\)$\")",
+      "Bash(grep:*)",
+      "Bash(wc -l /Users/andrea/Developer/mrandri19.github.io/_posts/*.md)",
+      "Bash(find:*)"
     ]
   }
 }
diff --git a/.github/workflows/jekyll.yml b/.github/workflows/jekyll.yml
index de4a208..0920589 100644
--- a/.github/workflows/jekyll.yml
+++ b/.github/workflows/jekyll.yml
@@ -1,56 +1,34 @@
-# This workflow uses actions that are not certified by GitHub.
-# They are provided by a third-party and are governed by
-# separate terms of service, privacy policy, and support
-# documentation.
-
-# Sample workflow for building and deploying a Jekyll site to GitHub Pages
-name: Deploy Jekyll site to Pages
+name: Deploy Astro site to Pages
 
 on:
-  # Runs on pushes targeting the default branch
   push:
     branches: ["master"]
-
-  # Allows you to run this workflow manually from the Actions tab
   workflow_dispatch:
 
-# Sets permissions of the GITHUB_TOKEN to allow deployment to GitHub Pages
 permissions:
   contents: read
   pages: write
   id-token: write
 
-# Allow only one concurrent deployment, skipping runs queued between the run in-progress and latest queued.
-# However, do NOT cancel in-progress runs as we want to allow these production deployments to complete.
 concurrency:
   group: "pages"
   cancel-in-progress: false
 
 jobs:
-  # Build job
   build:
     runs-on: ubuntu-latest
     steps:
-      - name: Checkout
-        uses: actions/checkout@v4
-      - name: Setup Ruby
-        uses: ruby/setup-ruby@v1
+      - uses: actions/checkout@v4
+      - uses: actions/setup-node@v4
+        with:
+          node-version: '20'
+          cache: 'npm'
+      - run: npm ci
+      - run: npx astro build
+      - uses: actions/upload-pages-artifact@v3
         with:
-          ruby-version: '3.1'
-          bundler-cache: true
-      - name: Setup Pages
-        id: pages
-        uses: actions/configure-pages@v4
-      - name: Build with Jekyll
-        # Outputs to the './_site' directory by default
-        run: bundle exec jekyll build --baseurl "${{ steps.pages.outputs.base_path }}"
-        env:
-          JEKYLL_ENV: production
-      - name: Upload artifact
-        # Automatically uploads an artifact from the './_site' directory by default
-        uses: actions/upload-pages-artifact@v3
+          path: ./dist
 
-  # Deployment job
   deploy:
     environment:
       name: github-pages
diff --git a/.gitignore b/.gitignore
index 1fc9591..79f3090 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,5 +1,5 @@
-_site
-.sass-cache
-.jekyll-metadata
+dist/
+.astro/
+node_modules/
 .vscode
-node_modules/
\ No newline at end of file
+_site/
diff --git a/404.html b/404.html
deleted file mode 100644
index c472b4e..0000000
--- a/404.html
+++ /dev/null
@@ -1,24 +0,0 @@
----
-layout: default
----
-
-<style type="text/css" media="screen">
-  .container {
-    margin: 10px auto;
-    max-width: 600px;
-    text-align: center;
-  }
-  h1 {
-    margin: 30px 0;
-    font-size: 4em;
-    line-height: 1;
-    letter-spacing: -1px;
-  }
-</style>
-
-<div class="container">
-  <h1>404</h1>
-
-  <p><strong>Page not found :(</strong></p>
-  <p>The requested page could not be found.</p>
-</div>
diff --git a/Gemfile b/Gemfile
deleted file mode 100644
index feff040..0000000
--- a/Gemfile
+++ /dev/null
@@ -1,9 +0,0 @@
-source "https://rubygems.org"
-
-# This is the default theme for new Jekyll sites. You may change this to anything you like.
-gem "minima", "~> 2.5.1"
-
-# If you want to use GitHub Pages, remove the "gem "jekyll"" above and
-# uncomment the line below. To upgrade, run `bundle update github-pages`.
-gem "github-pages", group: :jekyll_plugins
-
diff --git a/Gemfile.lock b/Gemfile.lock
deleted file mode 100644
index 39499a2..0000000
--- a/Gemfile.lock
+++ /dev/null
@@ -1,287 +0,0 @@
-GEM
-  remote: https://rubygems.org/
-  specs:
-    activesupport (6.0.4.4)
-      concurrent-ruby (~> 1.0, >= 1.0.2)
-      i18n (>= 0.7, < 2)
-      minitest (~> 5.1)
-      tzinfo (~> 1.1)
-      zeitwerk (~> 2.2, >= 2.2.2)
-    addressable (2.8.0)
-      public_suffix (>= 2.0.2, < 5.0)
-    coffee-script (2.4.1)
-      coffee-script-source
-      execjs
-    coffee-script-source (1.11.1)
-    colorator (1.1.0)
-    commonmarker (0.17.13)
-      ruby-enum (~> 0.5)
-    concurrent-ruby (1.1.9)
-    dnsruby (1.61.7)
-      simpleidn (~> 0.1)
-    em-websocket (0.5.3)
-      eventmachine (>= 0.12.9)
-      http_parser.rb (~> 0)
-    ethon (0.15.0)
-      ffi (>= 1.15.0)
-    eventmachine (1.2.7)
-    execjs (2.8.1)
-    faraday (1.9.3)
-      faraday-em_http (~> 1.0)
-      faraday-em_synchrony (~> 1.0)
-      faraday-excon (~> 1.1)
-      faraday-httpclient (~> 1.0)
-      faraday-multipart (~> 1.0)
-      faraday-net_http (~> 1.0)
-      faraday-net_http_persistent (~> 1.0)
-      faraday-patron (~> 1.0)
-      faraday-rack (~> 1.0)
-      faraday-retry (~> 1.0)
-      ruby2_keywords (>= 0.0.4)
-    faraday-em_http (1.0.0)
-    faraday-em_synchrony (1.0.0)
-    faraday-excon (1.1.0)
-    faraday-httpclient (1.0.1)
-    faraday-multipart (1.0.3)
-      multipart-post (>= 1.2, < 3)
-    faraday-net_http (1.0.1)
-    faraday-net_http_persistent (1.2.0)
-    faraday-patron (1.0.0)
-    faraday-rack (1.0.0)
-    faraday-retry (1.0.3)
-    ffi (1.15.5)
-    forwardable-extended (2.6.0)
-    gemoji (3.0.1)
-    github-pages (223)
-      github-pages-health-check (= 1.17.9)
-      jekyll (= 3.9.0)
-      jekyll-avatar (= 0.7.0)
-      jekyll-coffeescript (= 1.1.1)
-      jekyll-commonmark-ghpages (= 0.1.6)
-      jekyll-default-layout (= 0.1.4)
-      jekyll-feed (= 0.15.1)
-      jekyll-gist (= 1.5.0)
-      jekyll-github-metadata (= 2.13.0)
-      jekyll-include-cache (= 0.2.1)
-      jekyll-mentions (= 1.6.0)
-      jekyll-optional-front-matter (= 0.3.2)
-      jekyll-paginate (= 1.1.0)
-      jekyll-readme-index (= 0.3.0)
-      jekyll-redirect-from (= 0.16.0)
-      jekyll-relative-links (= 0.6.1)
-      jekyll-remote-theme (= 0.4.3)
-      jekyll-sass-converter (= 1.5.2)
-      jekyll-seo-tag (= 2.7.1)
-      jekyll-sitemap (= 1.4.0)
-      jekyll-swiss (= 1.0.0)
-      jekyll-theme-architect (= 0.2.0)
-      jekyll-theme-cayman (= 0.2.0)
-      jekyll-theme-dinky (= 0.2.0)
-      jekyll-theme-hacker (= 0.2.0)
-      jekyll-theme-leap-day (= 0.2.0)
-      jekyll-theme-merlot (= 0.2.0)
-      jekyll-theme-midnight (= 0.2.0)
-      jekyll-theme-minimal (= 0.2.0)
-      jekyll-theme-modernist (= 0.2.0)
-      jekyll-theme-primer (= 0.6.0)
-      jekyll-theme-slate (= 0.2.0)
-      jekyll-theme-tactile (= 0.2.0)
-      jekyll-theme-time-machine (= 0.2.0)
-      jekyll-titles-from-headings (= 0.5.3)
-      jemoji (= 0.12.0)
-      kramdown (= 2.3.1)
-      kramdown-parser-gfm (= 1.1.0)
-      liquid (= 4.0.3)
-      mercenary (~> 0.3)
-      minima (= 2.5.1)
-      nokogiri (>= 1.12.5, < 2.0)
-      rouge (= 3.26.0)
-      terminal-table (~> 1.4)
-    github-pages-health-check (1.17.9)
-      addressable (~> 2.3)
-      dnsruby (~> 1.60)
-      octokit (~> 4.0)
-      public_suffix (>= 3.0, < 5.0)
-      typhoeus (~> 1.3)
-    html-pipeline (2.14.0)
-      activesupport (>= 2)
-      nokogiri (>= 1.4)
-    http_parser.rb (0.8.0)
-    i18n (0.9.5)
-      concurrent-ruby (~> 1.0)
-    jekyll (3.9.0)
-      addressable (~> 2.4)
-      colorator (~> 1.0)
-      em-websocket (~> 0.5)
-      i18n (~> 0.7)
-      jekyll-sass-converter (~> 1.0)
-      jekyll-watch (~> 2.0)
-      kramdown (>= 1.17, < 3)
-      liquid (~> 4.0)
-      mercenary (~> 0.3.3)
-      pathutil (~> 0.9)
-      rouge (>= 1.7, < 4)
-      safe_yaml (~> 1.0)
-    jekyll-avatar (0.7.0)
-      jekyll (>= 3.0, < 5.0)
-    jekyll-coffeescript (1.1.1)
-      coffee-script (~> 2.2)
-      coffee-script-source (~> 1.11.1)
-    jekyll-commonmark (1.3.1)
-      commonmarker (~> 0.14)
-      jekyll (>= 3.7, < 5.0)
-    jekyll-commonmark-ghpages (0.1.6)
-      commonmarker (~> 0.17.6)
-      jekyll-commonmark (~> 1.2)
-      rouge (>= 2.0, < 4.0)
-    jekyll-default-layout (0.1.4)
-      jekyll (~> 3.0)
-    jekyll-feed (0.15.1)
-      jekyll (>= 3.7, < 5.0)
-    jekyll-gist (1.5.0)
-      octokit (~> 4.2)
-    jekyll-github-metadata (2.13.0)
-      jekyll (>= 3.4, < 5.0)
-      octokit (~> 4.0, != 4.4.0)
-    jekyll-include-cache (0.2.1)
-      jekyll (>= 3.7, < 5.0)
-    jekyll-mentions (1.6.0)
-      html-pipeline (~> 2.3)
-      jekyll (>= 3.7, < 5.0)
-    jekyll-optional-front-matter (0.3.2)
-      jekyll (>= 3.0, < 5.0)
-    jekyll-paginate (1.1.0)
-    jekyll-readme-index (0.3.0)
-      jekyll (>= 3.0, < 5.0)
-    jekyll-redirect-from (0.16.0)
-      jekyll (>= 3.3, < 5.0)
-    jekyll-relative-links (0.6.1)
-      jekyll (>= 3.3, < 5.0)
-    jekyll-remote-theme (0.4.3)
-      addressable (~> 2.0)
-      jekyll (>= 3.5, < 5.0)
-      jekyll-sass-converter (>= 1.0, <= 3.0.0, != 2.0.0)
-      rubyzip (>= 1.3.0, < 3.0)
-    jekyll-sass-converter (1.5.2)
-      sass (~> 3.4)
-    jekyll-seo-tag (2.7.1)
-      jekyll (>= 3.8, < 5.0)
-    jekyll-sitemap (1.4.0)
-      jekyll (>= 3.7, < 5.0)
-    jekyll-swiss (1.0.0)
-    jekyll-theme-architect (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-cayman (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-dinky (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-hacker (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-leap-day (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-merlot (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-midnight (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-minimal (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-modernist (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-primer (0.6.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-github-metadata (~> 2.9)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-slate (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-tactile (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-theme-time-machine (0.2.0)
-      jekyll (> 3.5, < 5.0)
-      jekyll-seo-tag (~> 2.0)
-    jekyll-titles-from-headings (0.5.3)
-      jekyll (>= 3.3, < 5.0)
-    jekyll-watch (2.2.1)
-      listen (~> 3.0)
-    jemoji (0.12.0)
-      gemoji (~> 3.0)
-      html-pipeline (~> 2.2)
-      jekyll (>= 3.0, < 5.0)
-    kramdown (2.3.1)
-      rexml
-    kramdown-parser-gfm (1.1.0)
-      kramdown (~> 2.0)
-    liquid (4.0.3)
-    listen (3.7.0)
-      rb-fsevent (~> 0.10, >= 0.10.3)
-      rb-inotify (~> 0.9, >= 0.9.10)
-    mercenary (0.3.6)
-    mini_portile2 (2.8.0)
-    minima (2.5.1)
-      jekyll (>= 3.5, < 5.0)
-      jekyll-feed (~> 0.9)
-      jekyll-seo-tag (~> 2.1)
-    minitest (5.15.0)
-    multipart-post (2.1.1)
-    nokogiri (1.13.3)
-      mini_portile2 (~> 2.8.0)
-      racc (~> 1.4)
-    octokit (4.21.0)
-      faraday (>= 0.9)
-      sawyer (~> 0.8.0, >= 0.5.3)
-    pathutil (0.16.2)
-      forwardable-extended (~> 2.6)
-    public_suffix (4.0.6)
-    racc (1.6.0)
-    rb-fsevent (0.11.0)
-    rb-inotify (0.10.1)
-      ffi (~> 1.0)
-    rexml (3.2.5)
-    rouge (3.26.0)
-    ruby-enum (0.9.0)
-      i18n
-    ruby2_keywords (0.0.5)
-    rubyzip (2.3.2)
-    safe_yaml (1.0.5)
-    sass (3.7.4)
-      sass-listen (~> 4.0.0)
-    sass-listen (4.0.0)
-      rb-fsevent (~> 0.9, >= 0.9.4)
-      rb-inotify (~> 0.9, >= 0.9.7)
-    sawyer (0.8.2)
-      addressable (>= 2.3.5)
-      faraday (> 0.8, < 2.0)
-    simpleidn (0.2.1)
-      unf (~> 0.1.4)
-    terminal-table (1.8.0)
-      unicode-display_width (~> 1.1, >= 1.1.1)
-    thread_safe (0.3.6)
-    typhoeus (1.4.0)
-      ethon (>= 0.9.0)
-    tzinfo (1.2.9)
-      thread_safe (~> 0.1)
-    unf (0.1.4)
-      unf_ext
-    unf_ext (0.0.8)
-    unicode-display_width (1.8.0)
-    zeitwerk (2.5.3)
-
-PLATFORMS
-  ruby
-
-DEPENDENCIES
-  github-pages
-  minima (~> 2.5.1)
-
-BUNDLED WITH
-   2.1.4
diff --git a/README.md b/README.md
index fec3089..2ae7508 100644
--- a/README.md
+++ b/README.md
@@ -2,32 +2,21 @@
 
 ## Building
 
-### Blog
+### Development
 
 ```shell
-# Use rvm to install ruby2.7.3 (needed for jekyll 3.9, which is required by github-pages 219)
-rvm install 2.7.3
-# Set ruby2.7.3 as default
-rvm --default 2.7.3
-# Use ruby2.7.3 in this shell
-rvm use 2.7.3
-
-cd mrandri19.github.io
-# Download dependencies described in Gemfile and update Gemfile.lock
-bundle install
-# Serve the website, reloading on changes
-bundle exec jekyll serve --livereload
+npm install
+npm run dev
 ```
 
-### Homepage
+### Production build
 
 ```shell
-# install tailwindcss (needed only once)
-npm i tailwindcss
-# rebuild the css on changes
-npx tailwindcss -i index-style.css -o index-style.out.css --watch
+npm run build
 ```
 
+Output goes to `./dist/`.
+
 ### Converting notebooks to markdown
 
 ```shell
@@ -39,21 +28,3 @@ pandoc \
     --extract-media=assets/images/introduction-to-variational-inference \
     05-introduction-to-variational-inference.ipynb
 ```
-
-### Installing ruby and running bundle on ARM64 macs
-
-```shell
-brew install openssl@1.1
-
-export PATH="$(brew --prefix)/opt/openssl@1.1/bin:$PATH"
-export LDFLAGS="-L$(brew --prefix)/opt/openssl@1.1/lib"
-export CPPFLAGS="-I$(brew --prefix)/opt/openssl@1.1/include"
-export PKG_CONFIG_PATH="$(brew --prefix)/opt/openssl@1.1/lib/pkgconfig"
-
-rvm autolibs disable
-
-export RUBY_CFLAGS=-DUSE_FFI_CLOSURE_ALLOC
-export optflags="-Wno-error=implicit-function-declaration"
-
-rvm install 2.7.3 --with-openssl-dir=$(brew --prefix)/opt/openssl@1.1
-```
diff --git a/WORK.md b/WORK.md
new file mode 100644
index 0000000..56cae73
--- /dev/null
+++ b/WORK.md
@@ -0,0 +1,81 @@
+# Jekyll → Astro Migration
+
+Executed the migration plan at `.claude/plans/indexed-weaving-wreath.md` on 2026-04-06.
+
+## What was done
+
+### Step 1 — Astro scaffold
+
+- Created `astro.config.mjs` with static output, `build.format: 'file'`, Shiki dual-theme (catppuccin-latte/catppuccin-mocha), remark-math + rehype-katex plugins, and Tailwind integration
+- Created `tailwind.config.mjs` (replaces `tailwind.config.js`) with updated content paths, `darkMode: 'media'`, and `@tailwindcss/typography` plugin
+- Created `tsconfig.json` extending `astro/tsconfigs/strict`
+- Updated `package.json` with Astro and all dependencies (`astro`, `@astrojs/tailwind`, `@astrojs/rss`, `@tailwindcss/typography`, `remark-math`, `rehype-katex`, `katex`)
+- Created `src/content/config.ts` — content collection schema (title, author?, draft?)
+- Created `src/styles/global.css` — Tailwind directives, Source Serif Pro `@font-face`, Shiki dark/light CSS variable overrides
+- Moved assets to `public/`: `assets/images/`, `assets/js/`, `assets/pdf/`, `index-images/`, `Source_Serif_Pro/`, `Source_Sans_Pro/`, favicons, `manifest.json`, `site.webmanifest`, `hes_my_quant.pdf`
+
+### Step 2 — Layouts
+
+- `src/layouts/BaseLayout.astro` — shared HTML shell with title prop, favicons, GA4 analytics, dark mode body classes (`bg-white dark:bg-gray-900`)
+- `src/layouts/PostLayout.astro` — extends BaseLayout; blog header nav (Blog/Homepage links), KaTeX CSS link in head, `<article class="prose dark:prose-invert font-serif">` wrapper, post title and formatted date
+
+### Step 3 — Homepage
+
+- `src/pages/index.astro` — identical HTML content to the original `index.html`, using BaseLayout for the shell. Homepage-specific CSS (section margins, clearfix, bullet styling) moved to an Astro `<style>` block. `index-style.out.css` link removed (Tailwind compiled at build time).
+
+### Step 4 — Blog posts
+
+All 12 posts copied from `_posts/` to `src/content/posts/` with these transformations:
+
+| Transformation | Posts affected |
+|---|---|
+| Remove `layout: post` from frontmatter | All 12 |
+| Replace `{% highlight lang %}…{% endhighlight %}` with fenced code blocks | npm (5 blocks), quadcopter (1 block) |
+| Replace `{% post_url … %}` with hardcoded URLs | text-rendering-ep2 (3 occurrences) |
+| Remove `{% raw %}`/`{% endraw %}` tags | bayesian-linear-regression |
+| Strip client-side KaTeX/MathJax `<link>` and `<script>` tags | 7 math posts |
+| Strip `# \| code-fold: true` Quarto comments | option-implied (9), volatility-smile (4) |
+| Replace jupyter frontmatter with simple `title:` | one-dimensional-variational-inference |
+| Normalize inline math: `$$x$$` → `$x$`, trim `$ x $` → `$x$` | All math posts |
+
+### Step 5 — Blog listing, RSS, 404
+
+- `src/pages/blog.astro` — queries content collection, sorts by date descending, renders date + title list
+- `src/pages/[...slug].astro` — dynamic route; parses `YYYY-MM-DD-slug` filenames into `YYYY/MM/DD/slug` URL paths, preserving Jekyll's URL scheme
+- `src/pages/feed.xml.js` — RSS feed via `@astrojs/rss`
+- `src/pages/404.astro` — simple 404 page
+
+### Step 7 — GitHub Actions
+
+Replaced `.github/workflows/jekyll.yml` with an Astro deploy workflow: Node 20, `npm ci`, `npx astro build`, `actions/upload-pages-artifact` from `./dist`.
+
+### Step 8 — Cleanup
+
+Deleted Jekyll artifacts: `Gemfile`, `Gemfile.lock`, `_config.yml`, `_includes/`, `_layouts/`, `assets/main.scss`, `assets/katex/`, `blog.md`, `404.html`, `index.html`, `index-style.css`, `index-style.out.css`, `postcss.config.js`, `tailwind.config.js`.
+
+Updated `.gitignore`: added `dist/`, `.astro/`, `_site/`; removed Jekyll-specific entries.
+
+## Build result
+
+```
+15 page(s) built — no errors, no warnings
+```
+
+Pages built:
+- `/index.html` — homepage
+- `/blog.html` — post listing (12 posts, newest first)
+- `/feed.xml` — RSS feed
+- `/404.html` — 404 page
+- `/YYYY/MM/DD/slug.html` — all 12 posts at original Jekyll URLs
+
+## Technical issues encountered and fixed
+
+**remark-math version bug** — remark-math v5 + mdast-util-math v2.0.2 crashed with `Cannot set properties of undefined (setting 'value')` in `exitMathText` for any post containing inline math. Fixed by upgrading to remark-math v6 (mdast-util-math v3).
+
+**Inline `$$…$$` used for inline math** — Several posts used `$$x$$` inline (MathJax convention) which remark-math treats as display/block math. Converted to `$x$` with a Python script that preserves standalone `$$` block delimiters on their own lines.
+
+**Spaces in inline math** — Posts had `$ x $` with leading/trailing spaces (invalid in remark-math's inline math syntax), causing parser stack corruption. Fixed by trimming: `$ x $` → `$x$`.
+
+**Astro `entry.id` vs `entry.slug`** — `entry.id` in Astro content collections includes the `.md` extension, producing URLs like `…/post.md.html`. Fixed by using `entry.slug` everywhere, which strips the extension.
+
+**Tailwind config dynamic import** — `await import('@tailwindcss/typography')` in the config caused a jiti (Tailwind's config loader) error. Fixed by using a static `import typography from '@tailwindcss/typography'` at the top of the file.
diff --git a/_config.yml b/_config.yml
deleted file mode 100644
index 8d2e356..0000000
--- a/_config.yml
+++ /dev/null
@@ -1,13 +0,0 @@
-title: Home
-email: andrecogno@hotmail.it
-baseurl: "" # the subpath of your site, e.g. /blog
-url: "https://mrandri19.github.io"
-github_username: mrandri19
-google_analytics: G-FBTQYT7Z06
-description: "my blog"
-
-# Build settings
-markdown: kramdown
-theme: minima
-header_pages:
-  - blog.md
diff --git a/_includes/analytics.html b/_includes/analytics.html
deleted file mode 100644
index 2bdfa5b..0000000
--- a/_includes/analytics.html
+++ /dev/null
@@ -1,14 +0,0 @@
-<!-- Global site tag (gtag.js) - Google Analytics -->
-<script
-  async
-  src="https://www.googletagmanager.com/gtag/js?id=G-FBTQYT7Z06"
-></script>
-<script>
-  window.dataLayer = window.dataLayer || [];
-  function gtag() {
-    dataLayer.push(arguments);
-  }
-  gtag("js", new Date());
-
-  gtag("config", "{{ site.google_analytics }}");
-</script>
diff --git a/_includes/header.html b/_includes/header.html
deleted file mode 100644
index b20e0f2..0000000
--- a/_includes/header.html
+++ /dev/null
@@ -1,32 +0,0 @@
-<header class="site-header" role="banner">
-
-  <div class="wrapper">
-    {%- assign default_paths = site.pages | map: "path" -%}
-    {%- assign page_paths = site.header_pages | default: default_paths -%}
-    <a class="site-title" rel="author" href="{{ '/blog' | relative_url }}">Blog</a>
-    <a class="site-title" rel="author" href="{{ '/' | relative_url }}" style="margin-left: 1.4rem;">Homepage</a>
-
-    {%- if page_paths -%}
-    <nav class="site-nav">
-      <input type="checkbox" id="nav-trigger" class="nav-trigger" />
-      <label for="nav-trigger">
-        <span class="menu-icon">
-          <svg viewBox="0 0 18 15" width="18px" height="15px">
-            <path
-              d="M18,1.484c0,0.82-0.665,1.484-1.484,1.484H1.484C0.665,2.969,0,2.304,0,1.484l0,0C0,0.665,0.665,0,1.484,0 h15.032C17.335,0,18,0.665,18,1.484L18,1.484z M18,7.516C18,8.335,17.335,9,16.516,9H1.484C0.665,9,0,8.335,0,7.516l0,0 c0-0.82,0.665-1.484,1.484-1.484h15.032C17.335,6.031,18,6.696,18,7.516L18,7.516z M18,13.516C18,14.335,17.335,15,16.516,15H1.484 C0.665,15,0,14.335,0,13.516l0,0c0-0.82,0.665-1.483,1.484-1.483h15.032C17.335,12.031,18,12.695,18,13.516L18,13.516z" />
-          </svg>
-        </span>
-      </label>
-
-      <div class="trigger">
-        {%- for path in page_paths -%}
-        {%- assign my_page = site.pages | where: "path", path | first -%}
-        {%- if my_page.title -%}
-        <a class="page-link" href="{{ my_page.url | relative_url }}">{{ my_page.title | escape }}</a>
-        {%- endif -%}
-        {%- endfor -%}
-      </div>
-    </nav>
-    {%- endif -%}
-  </div>
-</header>
diff --git a/_layouts/base.html b/_layouts/base.html
deleted file mode 100644
index 56e782b..0000000
--- a/_layouts/base.html
+++ /dev/null
@@ -1,22 +0,0 @@
-<!DOCTYPE html>
-<html lang="{{ page.lang | default: site.lang | default: " en" }}">
-
-{%- include head.html -%}
-
-{% include analytics.html %}
-
-<body>
-
-  {%- include header.html -%}
-
-  <main class="page-content" aria-label="Content">
-    <div class="wrapper">
-      {{ content }}
-    </div>
-  </main>
-
-  {%- include footer.html -%}
-
-</body>
-
-</html>
diff --git a/_layouts/home.html b/_layouts/home.html
deleted file mode 100644
index d0aed14..0000000
--- a/_layouts/home.html
+++ /dev/null
@@ -1,34 +0,0 @@
----
-layout: base
----
-
-<div class="home">
-  {%- if page.title -%}
-  <h1 class="page-heading">{{ page.title }}</h1>
-  {%- endif -%}
-
-  {{ content }}
-
-  {%- if site.posts.size > 0 -%}
-  <h2 class="post-list-heading">{{ page.list_title | default: "Posts" }}</h2>
-  <ul class="post-list">
-    {%- for post in site.posts -%}
-    <li>
-      {%- assign date_format = site.minima.date_format | default: "%b %-d, %Y" -%}
-      <span class="post-meta">{{ post.date | date: date_format }}</span>
-      <h3>
-        <a class="post-link" href="{{ post.url | relative_url }}">
-          {{ post.title | escape }}
-        </a>
-      </h3>
-      {%- if site.show_excerpts -%}
-      {{ post.excerpt }}
-      {%- endif -%}
-    </li>
-    {%- endfor -%}
-  </ul>
-
-  <p class="rss-subscribe">subscribe <a href="{{ " /feed.xml" | relative_url }}">via RSS</a></p>
-  {%- endif -%}
-
-</div>
diff --git a/assets/katex/README.md b/assets/katex/README.md
deleted file mode 100644
index bce29dc..0000000
--- a/assets/katex/README.md
+++ /dev/null
@@ -1,119 +0,0 @@
-# [<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)
-[![semantic-release](https://img.shields.io/badge/%20%20%F0%9F%93%A6%F0%9F%9A%80-semantic--release-e10079.svg)](https://github.com/semantic-release/semantic-release)
-[![CI](https://github.com/KaTeX/KaTeX/workflows/CI/badge.svg?branch=main&event=push)](https://github.com/KaTeX/KaTeX/actions?query=workflow%3ACI)
-[![codecov](https://codecov.io/gh/KaTeX/KaTeX/branch/main/graph/badge.svg)](https://codecov.io/gh/KaTeX/KaTeX)
-[![Discussions](https://img.shields.io/badge/Discussions-join-brightgreen)](https://github.com/KaTeX/KaTeX/discussions)
-[![jsDelivr](https://data.jsdelivr.com/v1/package/npm/katex/badge?style=rounded)](https://www.jsdelivr.com/package/npm/katex)
-![katex.min.js size](https://img.badgesize.io/https://unpkg.com/katex/dist/katex.min.js?compression=gzip)
-[![Gitpod ready-to-code](https://img.shields.io/badge/Gitpod-ready--to--code-blue?logo=gitpod)](https://gitpod.io/#https://github.com/KaTeX/KaTeX)
-[![Financial Contributors on Open Collective](https://opencollective.com/katex/all/badge.svg?label=financial+contributors)](https://opencollective.com/katex)
-
-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](https://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@0.16.7/dist/katex.min.css" integrity="sha384-3UiQGuEI4TTMaFmGIZumfRPtfKQ3trwQE2JgosJxCnGmQpL/lJdjpcHkaaFwHlcI" crossorigin="anonymous">
-
-    <!-- The loading of KaTeX is deferred to speed up page rendering -->
-    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.7/dist/katex.min.js" integrity="sha384-G0zcxDFp5LWZtDuRMnBkk3EphCK1lhEf4UEyEM693ka574TZGwo4IWwS6QLzM/2t" crossorigin="anonymous"></script>
-
-    <!-- To automatically render math in text elements, include the auto-render extension: -->
-    <script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.7/dist/contrib/auto-render.min.js" integrity="sha384-+VBxd3r6XgURycqtZ117nYw44OOcIax56Z4dCRWbxyPt0Koah1uHoK0o4+/RRE05" 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)!
-
-## Contributors
-
-### Code Contributors
-
-This project exists thanks to all the people who contribute code. If you'd like to help, see [our guide to contributing code](CONTRIBUTING.md).
-<a href="https://github.com/KaTeX/KaTeX/graphs/contributors"><img src="https://contributors-svg.opencollective.com/katex/contributors.svg?width=890&button=false" alt="Code contributors" /></a>
-
-### Financial Contributors
-
-Become a financial contributor and help us sustain our community.
-
-#### Individuals
-
-<a href="https://opencollective.com/katex"><img src="https://opencollective.com/katex/individuals.svg?width=890" alt="Contribute on Open Collective"></a>
-
-#### Organizations
-
-Support this project with your organization. Your logo will show up here with a link to your website.
-
-<a href="https://opencollective.com/katex/organization/0/website"><img src="https://opencollective.com/katex/organization/0/avatar.svg" alt="Organization 1"></a>
-<a href="https://opencollective.com/katex/organization/1/website"><img src="https://opencollective.com/katex/organization/1/avatar.svg" alt="Organization 2"></a>
-<a href="https://opencollective.com/katex/organization/2/website"><img src="https://opencollective.com/katex/organization/2/avatar.svg" alt="Organization 3"></a>
-<a href="https://opencollective.com/katex/organization/3/website"><img src="https://opencollective.com/katex/organization/3/avatar.svg" alt="Organization 4"></a>
-<a href="https://opencollective.com/katex/organization/4/website"><img src="https://opencollective.com/katex/organization/4/avatar.svg" alt="Organization 5"></a>
-<a href="https://opencollective.com/katex/organization/5/website"><img src="https://opencollective.com/katex/organization/5/avatar.svg" alt="Organization 6"></a>
-<a href="https://opencollective.com/katex/organization/6/website"><img src="https://opencollective.com/katex/organization/6/avatar.svg" alt="Organization 7"></a>
-<a href="https://opencollective.com/katex/organization/7/website"><img src="https://opencollective.com/katex/organization/7/avatar.svg" alt="Organization 8"></a>
-<a href="https://opencollective.com/katex/organization/8/website"><img src="https://opencollective.com/katex/organization/8/avatar.svg" alt="Organization 9"></a>
-<a href="https://opencollective.com/katex/organization/9/website"><img src="https://opencollective.com/katex/organization/9/avatar.svg" alt="Organization 10"></a>
-
-## License
-
-KaTeX is licensed under the [MIT License](https://opensource.org/licenses/MIT).
diff --git a/assets/katex/contrib/auto-render.js b/assets/katex/contrib/auto-render.js
deleted file mode 100644
index 0ec4f69..0000000
--- a/assets/katex/contrib/auto-render.js
+++ /dev/null
@@ -1,349 +0,0 @@
-(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__771__) {
-return /******/ (function() { // webpackBootstrap
-/******/ 	"use strict";
-/******/ 	var __webpack_modules__ = ({
-
-/***/ 771:
-/***/ (function(module) {
-
-module.exports = __WEBPACK_EXTERNAL_MODULE__771__;
-
-/***/ })
-
-/******/ 	});
-/************************************************************************/
-/******/ 	// The module cache
-/******/ 	var __webpack_module_cache__ = {};
-/******/ 	
-/******/ 	// The require function
-/******/ 	function __webpack_require__(moduleId) {
-/******/ 		// Check if module is in cache
-/******/ 		var cachedModule = __webpack_module_cache__[moduleId];
-/******/ 		if (cachedModule !== undefined) {
-/******/ 			return cachedModule.exports;
-/******/ 		}
-/******/ 		// Create a new module (and put it into the cache)
-/******/ 		var module = __webpack_module_cache__[moduleId] = {
-/******/ 			// no module.id needed
-/******/ 			// no module.loaded needed
-/******/ 			exports: {}
-/******/ 		};
-/******/ 	
-/******/ 		// Execute the module function
-/******/ 		__webpack_modules__[moduleId](module, module.exports, __webpack_require__);
-/******/ 	
-/******/ 		// Return the exports of the module
-/******/ 		return module.exports;
-/******/ 	}
-/******/ 	
-/************************************************************************/
-/******/ 	/* webpack/runtime/compat get default export */
-/******/ 	!function() {
-/******/ 		// getDefaultExport function for compatibility with non-harmony modules
-/******/ 		__webpack_require__.n = function(module) {
-/******/ 			var getter = module && module.__esModule ?
-/******/ 				function() { return module['default']; } :
-/******/ 				function() { return module; };
-/******/ 			__webpack_require__.d(getter, { a: getter });
-/******/ 			return getter;
-/******/ 		};
-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/define property getters */
-/******/ 	!function() {
-/******/ 		// define getter functions for harmony exports
-/******/ 		__webpack_require__.d = function(exports, definition) {
-/******/ 			for(var key in definition) {
-/******/ 				if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {
-/******/ 					Object.defineProperty(exports, key, { enumerable: true, get: definition[key] });
-/******/ 				}
-/******/ 			}
-/******/ 		};
-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/hasOwnProperty shorthand */
-/******/ 	!function() {
-/******/ 		__webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); }
-/******/ 	}();
-/******/ 	
-/************************************************************************/
-var __webpack_exports__ = {};
-// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk.
-!function() {
-
-// EXPORTS
-__webpack_require__.d(__webpack_exports__, {
-  "default": function() { return /* binding */ auto_render; }
-});
-
-// EXTERNAL MODULE: external "katex"
-var external_katex_ = __webpack_require__(771);
-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 escapeRegex = function escapeRegex(string) {
-  return string.replace(/[-/\\^$*+?.()|[\]{}]/g, "\\$&");
-};
-
-var amsRegex = /^\\begin{/;
-
-var splitAtDelimiters = function splitAtDelimiters(text, delimiters) {
-  var index;
-  var data = [];
-  var regexLeft = new RegExp("(" + delimiters.map(function (x) {
-    return escapeRegex(x.left);
-  }).join("|") + ")");
-
-  while (true) {
-    index = text.search(regexLeft);
-
-    if (index === -1) {
-      break;
-    }
-
-    if (index > 0) {
-      data.push({
-        type: "text",
-        data: text.slice(0, index)
-      });
-      text = text.slice(index); // now text starts with delimiter
-    } // ... so this always succeeds:
-
-
-    var i = delimiters.findIndex(function (delim) {
-      return text.startsWith(delim.left);
-    });
-    index = findEndOfMath(delimiters[i].right, text, delimiters[i].left.length);
-
-    if (index === -1) {
-      break;
-    }
-
-    var rawData = text.slice(0, index + delimiters[i].right.length);
-    var math = amsRegex.test(rawData) ? rawData : text.slice(delimiters[i].left.length, index);
-    data.push({
-      type: "math",
-      data: math,
-      rawData: rawData,
-      display: delimiters[i].display
-    });
-    text = text.slice(index + delimiters[i].right.length);
-  }
-
-  if (text !== "") {
-    data.push({
-      type: "text",
-      data: text
-    });
-  }
-
-  return data;
-};
-
-/* harmony default export */ var auto_render_splitAtDelimiters = (splitAtDelimiters);
-;// CONCATENATED MODULE: ./contrib/auto-render/auto-render.js
-/* eslint no-console:0 */
-
-
-/* Note: optionsCopy is mutated by this method. If it is ever exposed in the
- * API, we should copy it before mutating.
- */
-
-var renderMathInText = function renderMathInText(text, optionsCopy) {
-  var data = auto_render_splitAtDelimiters(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().render(math, span, optionsCopy);
-      } catch (e) {
-        if (!(e instanceof (external_katex_default()).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
-      // Concatenate all sibling text nodes.
-      // Webkit browsers split very large text nodes into smaller ones,
-      // so the delimiters may be split across different nodes.
-      var textContentConcat = childNode.textContent;
-      var sibling = childNode.nextSibling;
-      var nSiblings = 0;
-
-      while (sibling && sibling.nodeType === Node.TEXT_NODE) {
-        textContentConcat += sibling.textContent;
-        sibling = sibling.nextSibling;
-        nSiblings++;
-      }
-
-      var frag = renderMathInText(textContentConcat, optionsCopy);
-
-      if (frag) {
-        // Remove extra text nodes
-        for (var j = 0; j < nSiblings; j++) {
-          childNode.nextSibling.remove();
-        }
-
-        i += frag.childNodes.length - 1;
-        elem.replaceChild(frag, childNode);
-      } else {
-        // If the concatenated text does not contain math
-        // the siblings will not either
-        i += nSiblings;
-      }
-    } 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 after $$
-  // Render AMS environments even if outside $$…$$ delimiters.
-  {
-    left: "\\begin{equation}",
-    right: "\\end{equation}",
-    display: true
-  }, {
-    left: "\\begin{align}",
-    right: "\\end{align}",
-    display: true
-  }, {
-    left: "\\begin{alignat}",
-    right: "\\end{alignat}",
-    display: true
-  }, {
-    left: "\\begin{gather}",
-    right: "\\end{gather}",
-    display: true
-  }, {
-    left: "\\begin{CD}",
-    right: "\\end{CD}",
-    display: true
-  }, {
-    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 = (renderMathInElement);
-}();
-__webpack_exports__ = __webpack_exports__["default"];
-/******/ 	return __webpack_exports__;
-/******/ })()
-;
-});
\ No newline at end of file
diff --git a/assets/katex/contrib/auto-render.min.js b/assets/katex/contrib/auto-render.min.js
deleted file mode 100644
index 74f07c2..0000000
--- a/assets/katex/contrib/auto-render.min.js
+++ /dev/null
@@ -1 +0,0 @@
-!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(){"use strict";var t={771:function(t){t.exports=e}},r={};function n(e){var i=r[e];if(void 0!==i)return i.exports;var a=r[e]={exports:{}};return t[e](a,a.exports,n),a.exports}n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,{a:t}),t},n.d=function(e,t){for(var r in t)n.o(t,r)&&!n.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var i={};return function(){n.d(i,{default:function(){return s}});var e=n(771),t=n.n(e),r=function(e,t,r){for(var n=r,i=0,a=e.length;n<t.length;){var o=t[n];if(i<=0&&t.slice(n,n+a)===e)return n;"\\"===o?n++:"{"===o?i++:"}"===o&&i--,n++}return-1},a=/^\\begin{/,o=function(e,t){for(var n,i=[],o=new RegExp("("+t.map((function(e){return e.left.replace(/[-/\\^$*+?.()|[\]{}]/g,"\\$&")})).join("|")+")");-1!==(n=e.search(o));){n>0&&(i.push({type:"text",data:e.slice(0,n)}),e=e.slice(n));var l=t.findIndex((function(t){return e.startsWith(t.left)}));if(-1===(n=r(t[l].right,e,t[l].left.length)))break;var d=e.slice(0,n+t[l].right.length),s=a.test(d)?d:e.slice(t[l].left.length,n);i.push({type:"math",data:s,rawData:d,display:t[l].display}),e=e.slice(n+t[l].right.length)}return""!==e&&i.push({type:"text",data:e}),i},l=function(e,r){var n=o(e,r.delimiters);if(1===n.length&&"text"===n[0].type)return null;for(var i=document.createDocumentFragment(),a=0;a<n.length;a++)if("text"===n[a].type)i.appendChild(document.createTextNode(n[a].data));else{var l=document.createElement("span"),d=n[a].data;r.displayMode=n[a].display;try{r.preProcess&&(d=r.preProcess(d)),t().render(d,l,r)}catch(e){if(!(e instanceof t().ParseError))throw e;r.errorCallback("KaTeX auto-render: Failed to parse `"+n[a].data+"` with ",e),i.appendChild(document.createTextNode(n[a].rawData));continue}i.appendChild(l)}return i},d=function e(t,r){for(var n=0;n<t.childNodes.length;n++){var i=t.childNodes[n];if(3===i.nodeType){for(var a=i.textContent,o=i.nextSibling,d=0;o&&o.nodeType===Node.TEXT_NODE;)a+=o.textContent,o=o.nextSibling,d++;var s=l(a,r);if(s){for(var f=0;f<d;f++)i.nextSibling.remove();n+=s.childNodes.length-1,t.replaceChild(s,i)}else n+=d}else 1===i.nodeType&&function(){var t=" "+i.className+" ";-1===r.ignoredTags.indexOf(i.nodeName.toLowerCase())&&r.ignoredClasses.every((function(e){return-1===t.indexOf(" "+e+" ")}))&&e(i,r)}()}},s=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:"\\begin{equation}",right:"\\end{equation}",display:!0},{left:"\\begin{align}",right:"\\end{align}",display:!0},{left:"\\begin{alignat}",right:"\\end{alignat}",display:!0},{left:"\\begin{gather}",right:"\\end{gather}",display:!0},{left:"\\begin{CD}",right:"\\end{CD}",display:!0},{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||{},d(e,r)}}(),i=i.default}()}));
\ No newline at end of file
diff --git a/assets/katex/contrib/auto-render.mjs b/assets/katex/contrib/auto-render.mjs
deleted file mode 100644
index 5ad25e6..0000000
--- a/assets/katex/contrib/auto-render.mjs
+++ /dev/null
@@ -1,244 +0,0 @@
-import katex from '../katex.mjs';
-
-/* 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 escapeRegex = function escapeRegex(string) {
-  return string.replace(/[-/\\^$*+?.()|[\]{}]/g, "\\$&");
-};
-
-var amsRegex = /^\\begin{/;
-
-var splitAtDelimiters = function splitAtDelimiters(text, delimiters) {
-  var index;
-  var data = [];
-  var regexLeft = new RegExp("(" + delimiters.map(x => escapeRegex(x.left)).join("|") + ")");
-
-  while (true) {
-    index = text.search(regexLeft);
-
-    if (index === -1) {
-      break;
-    }
-
-    if (index > 0) {
-      data.push({
-        type: "text",
-        data: text.slice(0, index)
-      });
-      text = text.slice(index); // now text starts with delimiter
-    } // ... so this always succeeds:
-
-
-    var i = delimiters.findIndex(delim => text.startsWith(delim.left));
-    index = findEndOfMath(delimiters[i].right, text, delimiters[i].left.length);
-
-    if (index === -1) {
-      break;
-    }
-
-    var rawData = text.slice(0, index + delimiters[i].right.length);
-    var math = amsRegex.test(rawData) ? rawData : text.slice(delimiters[i].left.length, index);
-    data.push({
-      type: "math",
-      data: math,
-      rawData,
-      display: delimiters[i].display
-    });
-    text = text.slice(index + delimiters[i].right.length);
-  }
-
-  if (text !== "") {
-    data.push({
-      type: "text",
-      data: text
-    });
-  }
-
-  return data;
-};
-
-/* eslint no-console:0 */
-/* Note: optionsCopy is mutated by this method. If it is ever exposed in the
- * API, we should copy it before mutating.
- */
-
-var renderMathInText = function renderMathInText(text, optionsCopy) {
-  var data = splitAtDelimiters(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);
-        }
-
-        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;
-};
-
-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
-      // Concatenate all sibling text nodes.
-      // Webkit browsers split very large text nodes into smaller ones,
-      // so the delimiters may be split across different nodes.
-      var textContentConcat = childNode.textContent;
-      var sibling = childNode.nextSibling;
-      var nSiblings = 0;
-
-      while (sibling && sibling.nodeType === Node.TEXT_NODE) {
-        textContentConcat += sibling.textContent;
-        sibling = sibling.nextSibling;
-        nSiblings++;
-      }
-
-      var frag = renderMathInText(textContentConcat, optionsCopy);
-
-      if (frag) {
-        // Remove extra text nodes
-        for (var j = 0; j < nSiblings; j++) {
-          childNode.nextSibling.remove();
-        }
-
-        i += frag.childNodes.length - 1;
-        elem.replaceChild(frag, childNode);
-      } else {
-        // If the concatenated text does not contain math
-        // the siblings will not either
-        i += nSiblings;
-      }
-    } else if (childNode.nodeType === 1) {
-      (function () {
-        // Element node
-        var className = ' ' + childNode.className + ' ';
-        var 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.
-
-  }
-};
-
-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 after $$
-  // Render AMS environments even if outside $$…$$ delimiters.
-  {
-    left: "\\begin{equation}",
-    right: "\\end{equation}",
-    display: true
-  }, {
-    left: "\\begin{align}",
-    right: "\\end{align}",
-    display: true
-  }, {
-    left: "\\begin{alignat}",
-    right: "\\end{alignat}",
-    display: true
-  }, {
-    left: "\\begin{gather}",
-    right: "\\end{gather}",
-    display: true
-  }, {
-    left: "\\begin{CD}",
-    right: "\\end{CD}",
-    display: true
-  }, {
-    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 { renderMathInElement as default };
diff --git a/assets/katex/contrib/copy-tex.js b/assets/katex/contrib/copy-tex.js
deleted file mode 100644
index 2897f1e..0000000
--- a/assets/katex/contrib/copy-tex.js
+++ /dev/null
@@ -1,130 +0,0 @@
-(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() { // webpackBootstrap
-/******/ 	"use strict";
-var __webpack_exports__ = {};
-
-;// 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.
-
-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();
-    } else if (element.parentNode) {
-      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 if (_element.parentNode) {
-        _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
- // Return <div class="katex"> element containing node, or null if not found.
-
-function closestKatex(node) {
-  // If node is a Text Node, for example, go up to containing Element,
-  // where we can apply the `closest` method.
-  var element = node instanceof Element ? node : node.parentElement;
-  return element && element.closest('.katex');
-} // Global copy handler to modify behavior on/within .katex elements.
-
-
-document.addEventListener('copy', function (event) {
-  var selection = window.getSelection();
-
-  if (selection.isCollapsed || !event.clipboardData) {
-    return; // default action OK if selection is empty or unchangeable
-  }
-
-  var clipboardData = event.clipboardData;
-  var range = selection.getRangeAt(0); // When start point is within a formula, expand to entire formula.
-
-  var startKatex = closestKatex(range.startContainer);
-
-  if (startKatex) {
-    range.setStartBefore(startKatex);
-  } // Similarly, when end point is within a formula, expand to entire formula.
-
-
-  var endKatex = closestKatex(range.endContainer);
-
-  if (endKatex) {
-    range.setEndAfter(endKatex);
-  }
-
-  var fragment = range.cloneContents();
-
-  if (!fragment.querySelector('.katex-mathml')) {
-    return; // default action OK if no .katex-mathml elements
-  }
-
-  var htmlContents = Array.prototype.map.call(fragment.childNodes, function (el) {
-    return el instanceof Text ? el.textContent : el.outerHTML;
-  }).join(''); // Preserve usual HTML copy/paste behavior.
-
-  clipboardData.setData('text/html', htmlContents); // Rewrite plain-text version.
-
-  clipboardData.setData('text/plain', katex2tex(fragment).textContent); // Prevent normal copy handling.
-
-  event.preventDefault();
-});
-__webpack_exports__ = __webpack_exports__["default"];
-/******/ 	return __webpack_exports__;
-/******/ })()
-;
-});
\ No newline at end of file
diff --git a/assets/katex/contrib/copy-tex.min.js b/assets/katex/contrib/copy-tex.min.js
deleted file mode 100644
index 5a1ec34..0000000
--- a/assets/katex/contrib/copy-tex.min.js
+++ /dev/null
@@ -1 +0,0 @@
-!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(){"use strict";var e={},t={inline:["$","$"],display:["$$","$$"]};var n=function(e,n){void 0===n&&(n=t);for(var r=e.querySelectorAll(".katex-mathml + .katex-html"),a=0;a<r.length;a++){var o=r[a];o.remove?o.remove():o.parentNode&&o.parentNode.removeChild(o)}for(var i=e.querySelectorAll(".katex-mathml"),l=0;l<i.length;l++){var f=i[l],c=f.querySelector("annotation");c&&(f.replaceWith?f.replaceWith(c):f.parentNode&&f.parentNode.replaceChild(c,f),c.innerHTML=n.inline[0]+c.innerHTML+n.inline[1])}for(var d=e.querySelectorAll(".katex-display annotation"),s=0;s<d.length;s++){var p=d[s];p.innerHTML=n.display[0]+p.innerHTML.substr(n.inline[0].length,p.innerHTML.length-n.inline[0].length-n.inline[1].length)+n.display[1]}return e};function r(e){var t=e instanceof Element?e:e.parentElement;return t&&t.closest(".katex")}return document.addEventListener("copy",(function(e){var t=window.getSelection();if(!t.isCollapsed&&e.clipboardData){var a=e.clipboardData,o=t.getRangeAt(0),i=r(o.startContainer);i&&o.setStartBefore(i);var l=r(o.endContainer);l&&o.setEndAfter(l);var f=o.cloneContents();if(f.querySelector(".katex-mathml")){var c=Array.prototype.map.call(f.childNodes,(function(e){return e instanceof Text?e.textContent:e.outerHTML})).join("");a.setData("text/html",c),a.setData("text/plain",n(f).textContent),e.preventDefault()}}})),e=e.default}()}));
\ No newline at end of file
diff --git a/assets/katex/contrib/copy-tex.mjs b/assets/katex/contrib/copy-tex.mjs
deleted file mode 100644
index cb9d657..0000000
--- a/assets/katex/contrib/copy-tex.mjs
+++ /dev/null
@@ -1,105 +0,0 @@
-// 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.
-
-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();
-    } else if (element.parentNode) {
-      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 if (_element.parentNode) {
-        _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;
-}
-
-function closestKatex(node) {
-  // If node is a Text Node, for example, go up to containing Element,
-  // where we can apply the `closest` method.
-  var element = node instanceof Element ? node : node.parentElement;
-  return element && element.closest('.katex');
-} // Global copy handler to modify behavior on/within .katex elements.
-
-
-document.addEventListener('copy', function (event) {
-  var selection = window.getSelection();
-
-  if (selection.isCollapsed || !event.clipboardData) {
-    return; // default action OK if selection is empty or unchangeable
-  }
-
-  var clipboardData = event.clipboardData;
-  var range = selection.getRangeAt(0); // When start point is within a formula, expand to entire formula.
-
-  var startKatex = closestKatex(range.startContainer);
-
-  if (startKatex) {
-    range.setStartBefore(startKatex);
-  } // Similarly, when end point is within a formula, expand to entire formula.
-
-
-  var endKatex = closestKatex(range.endContainer);
-
-  if (endKatex) {
-    range.setEndAfter(endKatex);
-  }
-
-  var fragment = range.cloneContents();
-
-  if (!fragment.querySelector('.katex-mathml')) {
-    return; // default action OK if no .katex-mathml elements
-  }
-
-  var htmlContents = Array.prototype.map.call(fragment.childNodes, el => el instanceof Text ? el.textContent : el.outerHTML).join(''); // Preserve usual HTML copy/paste behavior.
-
-  clipboardData.setData('text/html', htmlContents); // Rewrite plain-text version.
-
-  clipboardData.setData('text/plain', katexReplaceWithTex(fragment).textContent); // Prevent normal copy handling.
-
-  event.preventDefault();
-});
diff --git a/assets/katex/contrib/mathtex-script-type.js b/assets/katex/contrib/mathtex-script-type.js
deleted file mode 100644
index d82c41d..0000000
--- a/assets/katex/contrib/mathtex-script-type.js
+++ /dev/null
@@ -1,112 +0,0 @@
-(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__771__) {
-return /******/ (function() { // webpackBootstrap
-/******/ 	"use strict";
-/******/ 	var __webpack_modules__ = ({
-
-/***/ 771:
-/***/ (function(module) {
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-
-/***/ })
-
-/******/ 	});
-/************************************************************************/
-/******/ 	// The module cache
-/******/ 	var __webpack_module_cache__ = {};
-/******/ 	
-/******/ 	// The require function
-/******/ 	function __webpack_require__(moduleId) {
-/******/ 		// Check if module is in cache
-/******/ 		var cachedModule = __webpack_module_cache__[moduleId];
-/******/ 		if (cachedModule !== undefined) {
-/******/ 			return cachedModule.exports;
-/******/ 		}
-/******/ 		// Create a new module (and put it into the cache)
-/******/ 		var module = __webpack_module_cache__[moduleId] = {
-/******/ 			// no module.id needed
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-/******/ 			exports: {}
-/******/ 		};
-/******/ 	
-/******/ 		// Execute the module function
-/******/ 		__webpack_modules__[moduleId](module, module.exports, __webpack_require__);
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-/******/ 		// Return the exports of the module
-/******/ 		return module.exports;
-/******/ 	}
-/******/ 	
-/************************************************************************/
-/******/ 	/* webpack/runtime/compat get default export */
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-/******/ 			__webpack_require__.d(getter, { a: getter });
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-/******/ 	
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-/******/ 	!function() {
-/******/ 		// define getter functions for harmony exports
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-/******/ 	}();
-/******/ 	
-/************************************************************************/
-var __webpack_exports__ = {};
-// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk.
-!function() {
-/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(771);
-/* 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|$)/) != null;
-  var katexElement = document.createElement(display ? "div" : "span");
-  katexElement.setAttribute("class", display ? "equation" : "inline-equation");
-
-  try {
-    katex__WEBPACK_IMPORTED_MODULE_0___default().render(script.text, katexElement, {
-      displayMode: display
-    });
-  } catch (err) {
-    //console.error(err); linter doesn't like this
-    katexElement.textContent = script.text;
-  }
-
-  script.parentNode.replaceChild(katexElement, script);
-});
-}();
-__webpack_exports__ = __webpack_exports__["default"];
-/******/ 	return __webpack_exports__;
-/******/ })()
-;
-});
\ No newline at end of file
diff --git a/assets/katex/contrib/mathtex-script-type.min.js b/assets/katex/contrib/mathtex-script-type.min.js
deleted file mode 100644
index af02830..0000000
--- a/assets/katex/contrib/mathtex-script-type.min.js
+++ /dev/null
@@ -1 +0,0 @@
-!function(e,t){if("object"==typeof exports&&"object"==typeof module)module.exports=t(require("katex"));else if("function"==typeof define&&define.amd)define(["katex"],t);else{var r="object"==typeof exports?t(require("katex")):t(e.katex);for(var n in r)("object"==typeof exports?exports:e)[n]=r[n]}}("undefined"!=typeof self?self:this,(function(e){return function(){"use strict";var t={771:function(t){t.exports=e}},r={};function n(e){var o=r[e];if(void 0!==o)return o.exports;var i=r[e]={exports:{}};return t[e](i,i.exports,n),i.exports}n.n=function(e){var t=e&&e.__esModule?function(){return e.default}:function(){return e};return n.d(t,{a:t}),t},n.d=function(e,t){for(var r in t)n.o(t,r)&&!n.o(e,r)&&Object.defineProperty(e,r,{enumerable:!0,get:t[r]})},n.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)};var o,i,a,u={};return o=n(771),i=n.n(o),a=document.body.getElementsByTagName("script"),(a=Array.prototype.slice.call(a)).forEach((function(e){if(!e.type||!e.type.match(/math\/tex/i))return-1;var t=null!=e.type.match(/mode\s*=\s*display(;|\s|\n|$)/),r=document.createElement(t?"div":"span");r.setAttribute("class",t?"equation":"inline-equation");try{i().render(e.text,r,{displayMode:t})}catch(t){r.textContent=e.text}e.parentNode.replaceChild(r,e)})),u=u.default}()}));
\ No newline at end of file
diff --git a/assets/katex/contrib/mathtex-script-type.mjs b/assets/katex/contrib/mathtex-script-type.mjs
deleted file mode 100644
index 1083b92..0000000
--- a/assets/katex/contrib/mathtex-script-type.mjs
+++ /dev/null
@@ -1,24 +0,0 @@
-import katex from '../katex.mjs';
-
-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.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/assets/katex/contrib/mhchem.js b/assets/katex/contrib/mhchem.js
deleted file mode 100644
index 8b49131..0000000
--- a/assets/katex/contrib/mhchem.js
+++ /dev/null
@@ -1,3216 +0,0 @@
-(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__771__) {
-return /******/ (function() { // webpackBootstrap
-/******/ 	"use strict";
-/******/ 	var __webpack_modules__ = ({
-
-/***/ 771:
-/***/ (function(module) {
-
-module.exports = __WEBPACK_EXTERNAL_MODULE__771__;
-
-/***/ })
-
-/******/ 	});
-/************************************************************************/
-/******/ 	// The module cache
-/******/ 	var __webpack_module_cache__ = {};
-/******/ 	
-/******/ 	// The require function
-/******/ 	function __webpack_require__(moduleId) {
-/******/ 		// Check if module is in cache
-/******/ 		var cachedModule = __webpack_module_cache__[moduleId];
-/******/ 		if (cachedModule !== undefined) {
-/******/ 			return cachedModule.exports;
-/******/ 		}
-/******/ 		// Create a new module (and put it into the cache)
-/******/ 		var module = __webpack_module_cache__[moduleId] = {
-/******/ 			// no module.id needed
-/******/ 			// no module.loaded needed
-/******/ 			exports: {}
-/******/ 		};
-/******/ 	
-/******/ 		// Execute the module function
-/******/ 		__webpack_modules__[moduleId](module, module.exports, __webpack_require__);
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-/******/ 		// Return the exports of the module
-/******/ 		return module.exports;
-/******/ 	}
-/******/ 	
-/************************************************************************/
-/******/ 	/* webpack/runtime/compat get default export */
-/******/ 	!function() {
-/******/ 		// getDefaultExport function for compatibility with non-harmony modules
-/******/ 		__webpack_require__.n = function(module) {
-/******/ 			var getter = module && module.__esModule ?
-/******/ 				function() { return module['default']; } :
-/******/ 				function() { return module; };
-/******/ 			__webpack_require__.d(getter, { a: getter });
-/******/ 			return getter;
-/******/ 		};
-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/define property getters */
-/******/ 	!function() {
-/******/ 		// define getter functions for harmony exports
-/******/ 		__webpack_require__.d = function(exports, definition) {
-/******/ 			for(var key in definition) {
-/******/ 				if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {
-/******/ 					Object.defineProperty(exports, key, { enumerable: true, get: definition[key] });
-/******/ 				}
-/******/ 			}
-/******/ 		};
-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/hasOwnProperty shorthand */
-/******/ 	!function() {
-/******/ 		__webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); }
-/******/ 	}();
-/******/ 	
-/************************************************************************/
-var __webpack_exports__ = {};
-// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk.
-!function() {
-/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(771);
-/* 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().__defineMacro("\\ce", function (context) {
-  return chemParse(context.consumeArgs(1)[0], "ce");
-});
-
-katex__WEBPACK_IMPORTED_MODULE_0___default().__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().__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.length && 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 analysis
-// Will show type error at calling position
-//
-
-/** @param {number} a */
-
-function assertNever(a) {}
-/** @param {string} a */
-
-
-function assertString(a) {}
-}();
-__webpack_exports__ = __webpack_exports__["default"];
-/******/ 	return __webpack_exports__;
-/******/ })()
-;
-});
\ No newline at end of file
diff --git a/assets/katex/contrib/mhchem.min.js b/assets/katex/contrib/mhchem.min.js
deleted file mode 100644
index 63c7ec0..0000000
--- a/assets/katex/contrib/mhchem.min.js
+++ /dev/null
@@ -1 +0,0 @@
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numeral":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"state of aggregation":e="\\mskip2mu "+r._goInner(t.p1);break;case"state of aggregation subscript":e="\\mskip1mu "+r._goInner(t.p1);break;case"bond":if(!(e=r._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{"+r._goInner(t.p1)+"}{"+r._goInner(t.p2)+"}";e="\\mathchoice{\\textstyle"+a+"}{"+a+"}{"+a+"}{"+a+"}";break;case"tex-math":case"1st-level escape":e=t.p1+" ";break;case"frac-ce":e="\\frac{"+r._goInner(t.p1)+"}{"+r._goInner(t.p2)+"}";break;case"overset":e="\\overset{"+r._goInner(t.p1)+"}{"+r._goInner(t.p2)+"}";break;case"underset":e="\\underset{"+r._goInner(t.p1)+"}{"+r._goInner(t.p2)+"}";break;case"underbrace":e="\\underbrace{"+r._goInner(t.p1)+"}_{"+r._goInner(t.p2)+"}";break;case"color":e="{\\color{"+t.color1+"}{"+r._goInner(t.color2)+"}}";break;case"color0":e="\\color{"+t.color+"}";break;case"arrow":var i={rd:r._goInner(t.rd),rq:r._goInner(t.rq)},c="\\x"+r._getArrow(t.r);i.rq&&(c+="[{"+i.rq+"}]"),e=c+=i.rd?"{"+i.rd+"}":"{}";break;case"operator":e=r._getOperator(t.kind_);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."]}}}}(),a=a.default}()}));
\ No newline at end of file
diff --git a/assets/katex/contrib/mhchem.mjs b/assets/katex/contrib/mhchem.mjs
deleted file mode 100644
index 7d93825..0000000
--- a/assets/katex/contrib/mhchem.mjs
+++ /dev/null
@@ -1,3109 +0,0 @@
-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.length && 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/assets/katex/contrib/render-a11y-string.js b/assets/katex/contrib/render-a11y-string.js
deleted file mode 100644
index 7db8452..0000000
--- a/assets/katex/contrib/render-a11y-string.js
+++ /dev/null
@@ -1,881 +0,0 @@
-(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__771__) {
-return /******/ (function() { // webpackBootstrap
-/******/ 	"use strict";
-/******/ 	var __webpack_modules__ = ({
-
-/***/ 771:
-/***/ (function(module) {
-
-module.exports = __WEBPACK_EXTERNAL_MODULE__771__;
-
-/***/ })
-
-/******/ 	});
-/************************************************************************/
-/******/ 	// The module cache
-/******/ 	var __webpack_module_cache__ = {};
-/******/ 	
-/******/ 	// The require function
-/******/ 	function __webpack_require__(moduleId) {
-/******/ 		// Check if module is in cache
-/******/ 		var cachedModule = __webpack_module_cache__[moduleId];
-/******/ 		if (cachedModule !== undefined) {
-/******/ 			return cachedModule.exports;
-/******/ 		}
-/******/ 		// Create a new module (and put it into the cache)
-/******/ 		var module = __webpack_module_cache__[moduleId] = {
-/******/ 			// no module.id needed
-/******/ 			// no module.loaded needed
-/******/ 			exports: {}
-/******/ 		};
-/******/ 	
-/******/ 		// Execute the module function
-/******/ 		__webpack_modules__[moduleId](module, module.exports, __webpack_require__);
-/******/ 	
-/******/ 		// Return the exports of the module
-/******/ 		return module.exports;
-/******/ 	}
-/******/ 	
-/************************************************************************/
-/******/ 	/* webpack/runtime/compat get default export */
-/******/ 	!function() {
-/******/ 		// getDefaultExport function for compatibility with non-harmony modules
-/******/ 		__webpack_require__.n = function(module) {
-/******/ 			var getter = module && module.__esModule ?
-/******/ 				function() { return module['default']; } :
-/******/ 				function() { return module; };
-/******/ 			__webpack_require__.d(getter, { a: getter });
-/******/ 			return getter;
-/******/ 		};
-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/define property getters */
-/******/ 	!function() {
-/******/ 		// define getter functions for harmony exports
-/******/ 		__webpack_require__.d = function(exports, definition) {
-/******/ 			for(var key in definition) {
-/******/ 				if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {
-/******/ 					Object.defineProperty(exports, key, { enumerable: true, get: definition[key] });
-/******/ 				}
-/******/ 			}
-/******/ 		};
-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/hasOwnProperty shorthand */
-/******/ 	!function() {
-/******/ 		__webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); }
-/******/ 	}();
-/******/ 	
-/************************************************************************/
-var __webpack_exports__ = {};
-// This entry need to be wrapped in an IIFE because it need to be isolated against other modules in the chunk.
-!function() {
-/* harmony import */ var katex__WEBPACK_IMPORTED_MODULE_0__ = __webpack_require__(771);
-/* 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 "hbox":
-      {
-        buildA11yStrings(tree.body, a11yStrings, atomType);
-        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 "pmb":
-      {
-        a11yStrings.push("bold");
-        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;
-        } else if (/phase/.test(tree.label)) {
-          buildRegion(a11yStrings, function (regionStrings) {
-            regionStrings.push("start phase angle");
-            buildA11yStrings(tree.body, regionStrings, atomType);
-            regionStrings.push("end phase angle");
-          });
-          break;
-        }
-
-        throw new Error("KaTeX-a11y: enclose node with " + tree.label + " not supported yet");
-      }
-
-    case "vcenter":
-      {
-        buildA11yStrings(tree.body, a11yStrings, atomType);
-        break;
-      }
-
-    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 "cdlabel":
-      {
-        throw new Error("KaTeX-a11y: cdlabel not implemented yet");
-      }
-
-    case "cdlabelparent":
-      {
-        throw new Error("KaTeX-a11y: cdlabelparent 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 style we're using, e.g. display, 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().__parse(text, settings);
-
-  var a11yStrings = buildA11yStrings(tree, [], "normal");
-  return flatten(a11yStrings).join(", ");
-};
-
-/* harmony default export */ __webpack_exports__["default"] = (renderA11yString);
-}();
-__webpack_exports__ = __webpack_exports__["default"];
-/******/ 	return __webpack_exports__;
-/******/ })()
-;
-});
\ No newline at end of file
diff --git a/assets/katex/contrib/render-a11y-string.min.js b/assets/katex/contrib/render-a11y-string.min.js
deleted file mode 100644
index 3539b88..0000000
--- a/assets/katex/contrib/render-a11y-string.min.js
+++ /dev/null
@@ -1 +0,0 @@
-!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 a="object"==typeof exports?r(require("katex")):r(e.katex);for(var t in a)("object"==typeof exports?exports:e)[t]=a[t]}}("undefined"!=typeof self?self:this,(function(e){return function(){"use strict";var r={771:function(r){r.exports=e}},a={};function t(e){var o=a[e];if(void 0!==o)return o.exports;var n=a[e]={exports:{}};return r[e](n,n.exports,t),n.exports}t.n=function(e){var r=e&&e.__esModule?function(){return e.default}:function(){return e};return t.d(r,{a:r}),r},t.d=function(e,r){for(var a in r)t.o(r,a)&&!t.o(e,a)&&Object.defineProperty(e,a,{enumerable:!0,get:r[a]})},t.o=function(e,r){return Object.prototype.hasOwnProperty.call(e,r)};var o,n,s,i,l,c,u,p,d,h,b,m,f,w,g={};return o=t(771),n=t.n(o),s={"(":"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"},i={prime:"prime",degree:"degrees",circle:"degrees",2:"squared",3:"cubed"},l={"|":"open vertical bar",".":""},c={"|":"close vertical bar",".":""},u={"+":"plus","-":"minus","\\pm":"plus minus","\\cdot":"dot","*":"times","/":"divided by","\\times":"times","\\div":"divided by","\\circ":"circle","\\bullet":"bullet"},p={"=":"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"},d={"\\underleftarrow":"left arrow","\\underrightarrow":"right arrow","\\underleftrightarrow":"left-right arrow","\\undergroup":"group","\\underlinesegment":"line segment","\\utilde":"tilde"},h=function(e,r,a){var t;e&&(/^\d+$/.test(t="open"===r?e in l?l[e]:s[e]||e:"close"===r?e in c?c[e]:s[e]||e:"bin"===r?u[e]||e:"rel"===r?p[e]||e:s[e]||e)&&a.length>0&&/^\d+$/.test(a[a.length-1])?a[a.length-1]+=t:t&&a.push(t))},b=function(e,r){var a=[];e.push(a),r(a)},m=function(e,r,a){switch(e.type){case"accent":b(r,(function(r){f(e.base,r,a),r.push("with"),h(e.label,"normal",r),r.push("on top")}));break;case"accentUnder":b(r,(function(r){f(e.base,r,a),r.push("with"),h(d[e.label],"normal",r),r.push("underneath")}));break;case"accent-token":case"color-token":case"kern":case"leftright-right":case"size":case"infix":case"internal":break;case"atom":var t=e.text;switch(e.family){case"bin":h(t,"bin",r);break;case"close":h(t,"close",r);break;case"inner":h(e.text,"inner",r);break;case"open":h(t,"open",r);break;case"punct":h(t,"punct",r);break;case"rel":h(t,"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,a),r.push("end color "+o)}));break;case"delimsizing":e.delim&&"."!==e.delim&&h(e.delim,"normal",r);break;case"genfrac":b(r,(function(r){var t=e.leftDelim,o=e.rightDelim;e.hasBarLine?(r.push("start fraction"),t&&h(t,"open",r),f(e.numer,r,a),r.push("divided by"),f(e.denom,r,a),o&&h(o,"close",r),r.push("end fraction")):(r.push("start binomial"),t&&h(t,"open",r),f(e.numer,r,a),r.push("over"),f(e.denom,r,a),o&&h(o,"close",r),r.push("end binomial"))}));break;case"hbox":case"lap":case"ordgroup":case"raisebox":case"sizing":case"styling":case"smash":case"vcenter":case"operatorname":case"font":case"html":f(e.body,r,a);break;case"leftright":b(r,(function(r){h(e.left,"open",r),f(e.body,r,a),h(e.right,"close",r)}));break;case"mathord":h(e.text,"normal",r);break;case"op":var n=e.body,s=e.name;n?f(n,r,a):s&&h(s,"normal",r);break;case"op-token":case"textord":h(e.text,a,r);break;case"overline":b(r,(function(r){r.push("start overline"),f(e.body,r,a),r.push("end overline")}));break;case"pmb":r.push("bold");break;case"phantom":r.push("empty space");break;case"rule":r.push("rectangle");break;case"spacing":r.push("space");break;case"sqrt":b(r,(function(r){var t=e.body,o=e.index;if(o)return"3"===w(f(o,[],a)).join(",")?(r.push("cube root of"),f(t,r,a),void r.push("end cube root")):(r.push("root"),r.push("start index"),f(o,r,a),void r.push("end index"));r.push("square root of"),f(t,r,a),r.push("end square root")}));break;case"supsub":var l=e.base,c=e.sub,u=e.sup,p=!1;if(l&&(f(l,r,a),p="op"===l.type&&"\\log"===l.name),c){var m=p?"base":"subscript";b(r,(function(e){e.push("start "+m),f(c,e,a),e.push("end "+m)}))}u&&b(r,(function(e){var r=w(f(u,[],a)).join(",");r in i?e.push(i[r]):(e.push("start superscript"),f(u,e,a),e.push("end superscript"))}));break;case"text":if("\\textbf"===e.font){b(r,(function(r){r.push("start bold text"),f(e.body,r,a),r.push("end bold text")}));break}b(r,(function(r){r.push("start text"),f(e.body,r,a),r.push("end text")}));break;case"enclose":if(/cancel/.test(e.label)){b(r,(function(r){r.push("start cancel"),f(e.body,r,a),r.push("end cancel")}));break}if(/box/.test(e.label)){b(r,(function(r){r.push("start box"),f(e.body,r,a),r.push("end box")}));break}if(/sout/.test(e.label)){b(r,(function(r){r.push("start strikeout"),f(e.body,r,a),r.push("end strikeout")}));break}if(/phase/.test(e.label)){b(r,(function(r){r.push("start phase angle"),f(e.body,r,a),r.push("end phase angle")}));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"array":throw new Error("KaTeX-a11y: array not implemented yet");case"raw":throw new Error("KaTeX-a11y: raw not implemented yet");case"url":throw new Error("KaTeX-a11y: url not implemented yet");case"tag":throw new Error("KaTeX-a11y: tag not implemented yet");case"verb":h("start verbatim","normal",r),h(e.body,"normal",r),h("end verbatim","normal",r);break;case"environment":throw new Error("KaTeX-a11y: environment not implemented yet");case"horizBrace":h("start "+e.label.slice(1),"normal",r),f(e.base,r,a),h("end "+e.label.slice(1),"normal",r);break;case"includegraphics":throw new Error("KaTeX-a11y: includegraphics not implemented yet");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,a),r.push("end underline")}));break;case"xArrow":throw new Error("KaTeX-a11y: xArrow not implemented yet");case"cdlabel":throw new Error("KaTeX-a11y: cdlabel not implemented yet");case"cdlabelparent":throw new Error("KaTeX-a11y: cdlabelparent not implemented yet");case"mclass":var g=e.mclass.slice(1);f(e.body,r,g);break;case"mathchoice":f(e.text,r,a);break;case"htmlmathml":f(e.mathml,r,a);break;case"middle":h(e.delim,a,r);break;default:throw e.type,new Error("KaTeX a11y un-recognized type: "+e.type)}},f=function e(r,a,t){if(void 0===a&&(a=[]),r instanceof Array)for(var o=0;o<r.length;o++)e(r[o],a,t);else m(r,a,t);return a},w=function e(r){var a=[];return r.forEach((function(r){r instanceof Array?a=a.concat(e(r)):a.push(r)})),a},g.default=function(e,r){var a=n().__parse(e,r),t=f(a,[],"normal");return w(t).join(", ")},g=g.default}()}));
\ No newline at end of file
diff --git a/assets/katex/contrib/render-a11y-string.mjs b/assets/katex/contrib/render-a11y-string.mjs
deleted file mode 100644
index d23d20a..0000000
--- a/assets/katex/contrib/render-a11y-string.mjs
+++ /dev/null
@@ -1,800 +0,0 @@
-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.
- */
-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 = (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 = (a11yStrings, callback) => {
-  var regionStrings = [];
-  a11yStrings.push(regionStrings);
-  callback(regionStrings);
-};
-
-var 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":
-      {
-        var {
-          text
-        } = tree;
-
-        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, 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
-          var {
-            leftDelim,
-            rightDelim
-          } = tree; // 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 "hbox":
-      {
-        buildA11yStrings(tree.body, a11yStrings, atomType);
-        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":
-      {
-        var {
-          body,
-          name
-        } = tree;
-
-        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 "pmb":
-      {
-        a11yStrings.push("bold");
-        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 => {
-          var {
-            body,
-            index
-          } = tree;
-
-          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,
-          sub,
-          sup
-        } = tree;
-        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;
-        } else if (/phase/.test(tree.label)) {
-          buildRegion(a11yStrings, function (regionStrings) {
-            regionStrings.push("start phase angle");
-            buildA11yStrings(tree.body, regionStrings, atomType);
-            regionStrings.push("end phase angle");
-          });
-          break;
-        }
-
-        throw new Error("KaTeX-a11y: enclose node with " + tree.label + " not supported yet");
-      }
-
-    case "vcenter":
-      {
-        buildA11yStrings(tree.body, a11yStrings, atomType);
-        break;
-      }
-
-    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 "cdlabel":
-      {
-        throw new Error("KaTeX-a11y: cdlabel not implemented yet");
-      }
-
-    case "cdlabelparent":
-      {
-        throw new Error("KaTeX-a11y: cdlabelparent 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 style we're using, e.g. display, 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.__parse(text, settings);
-
-  var a11yStrings = buildA11yStrings(tree, [], "normal");
-  return flatten(a11yStrings).join(", ");
-};
-
-export { renderA11yString as default };
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-}
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-  display: block;
-  text-align: center;
-  white-space: nowrap;
-}
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-  display: block;
-  position: relative;
-}
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-  position: absolute;
-  right: 0;
-}
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-  left: 0;
-  right: auto;
-}
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-  text-align: left;
-  padding-left: 2em;
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-body {
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-
diff --git a/assets/katex/katex.js b/assets/katex/katex.js
deleted file mode 100644
index acd46c4..0000000
--- a/assets/katex/katex.js
+++ /dev/null
@@ -1,18807 +0,0 @@
-(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() { // webpackBootstrap
-/******/ 	"use strict";
-/******/ 	// The require scope
-/******/ 	var __webpack_require__ = {};
-/******/ 	
-/************************************************************************/
-/******/ 	/* webpack/runtime/define property getters */
-/******/ 	!function() {
-/******/ 		// define getter functions for harmony exports
-/******/ 		__webpack_require__.d = function(exports, definition) {
-/******/ 			for(var key in definition) {
-/******/ 				if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {
-/******/ 					Object.defineProperty(exports, key, { enumerable: true, get: definition[key] });
-/******/ 				}
-/******/ 			}
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-/******/ 	}();
-/******/ 	
-/******/ 	/* webpack/runtime/hasOwnProperty shorthand */
-/******/ 	!function() {
-/******/ 		__webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); }
-/******/ 	}();
-/******/ 	
-/************************************************************************/
-var __webpack_exports__ = {};
-
-// EXPORTS
-__webpack_require__.d(__webpack_exports__, {
-  "default": function() { return /* binding */ katex_webpack; }
-});
-
-;// 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 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: 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.
- */
-
-
-
-// TODO: automatically generate documentation
-// TODO: check all properties on Settings exist
-// TODO: check the type of a property on Settings matches
-var SETTINGS_SCHEMA = {
-  displayMode: {
-    type: "boolean",
-    description: "Render math in display mode, which puts the math in " + "display style (so \\int and \\sum are large, for example), and " + "centers the math on the page on its own line.",
-    cli: "-d, --display-mode"
-  },
-  output: {
-    type: {
-      enum: ["htmlAndMathml", "html", "mathml"]
-    },
-    description: "Determines the markup language of the output.",
-    cli: "-F, --format <type>"
-  },
-  leqno: {
-    type: "boolean",
-    description: "Render display math in leqno style (left-justified tags)."
-  },
-  fleqn: {
-    type: "boolean",
-    description: "Render display math flush left."
-  },
-  throwOnError: {
-    type: "boolean",
-    default: true,
-    cli: "-t, --no-throw-on-error",
-    cliDescription: "Render errors (in the color given by --error-color) ins" + "tead of throwing a ParseError exception when encountering an error."
-  },
-  errorColor: {
-    type: "string",
-    default: "#cc0000",
-    cli: "-c, --error-color <color>",
-    cliDescription: "A color string given in the format 'rgb' or 'rrggbb' " + "(no #). This option determines the color of errors rendered by the " + "-t option.",
-    cliProcessor: function cliProcessor(color) {
-      return "#" + color;
-    }
-  },
-  macros: {
-    type: "object",
-    cli: "-m, --macro <def>",
-    cliDescription: "Define custom macro of the form '\\foo:expansion' (use " + "multiple -m arguments for multiple macros).",
-    cliDefault: [],
-    cliProcessor: function cliProcessor(def, defs) {
-      defs.push(def);
-      return defs;
-    }
-  },
-  minRuleThickness: {
-    type: "number",
-    description: "Specifies a minimum thickness, in ems, for fraction lines," + " `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, " + "`\\hdashline`, `\\underline`, `\\overline`, and the borders of " + "`\\fbox`, `\\boxed`, and `\\fcolorbox`.",
-    processor: function processor(t) {
-      return Math.max(0, t);
-    },
-    cli: "--min-rule-thickness <size>",
-    cliProcessor: parseFloat
-  },
-  colorIsTextColor: {
-    type: "boolean",
-    description: "Makes \\color behave like LaTeX's 2-argument \\textcolor, " + "instead of LaTeX's one-argument \\color mode change.",
-    cli: "-b, --color-is-text-color"
-  },
-  strict: {
-    type: [{
-      enum: ["warn", "ignore", "error"]
-    }, "boolean", "function"],
-    description: "Turn on strict / LaTeX faithfulness mode, which throws an " + "error if the input uses features that are not supported by LaTeX.",
-    cli: "-S, --strict",
-    cliDefault: false
-  },
-  trust: {
-    type: ["boolean", "function"],
-    description: "Trust the input, enabling all HTML features such as \\url.",
-    cli: "-T, --trust"
-  },
-  maxSize: {
-    type: "number",
-    default: Infinity,
-    description: "If non-zero, all user-specified sizes, e.g. in " + "\\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, " + "elements and spaces can be arbitrarily large",
-    processor: function processor(s) {
-      return Math.max(0, s);
-    },
-    cli: "-s, --max-size <n>",
-    cliProcessor: parseInt
-  },
-  maxExpand: {
-    type: "number",
-    default: 1000,
-    description: "Limit the number of macro expansions to the specified " + "number, to prevent e.g. infinite macro loops. If set to Infinity, " + "the macro expander will try to fully expand as in LaTeX.",
-    processor: function processor(n) {
-      return Math.max(0, n);
-    },
-    cli: "-e, --max-expand <n>",
-    cliProcessor: function cliProcessor(n) {
-      return n === "Infinity" ? Infinity : parseInt(n);
-    }
-  },
-  globalGroup: {
-    type: "boolean",
-    cli: false
-  }
-};
-
-function getDefaultValue(schema) {
-  if (schema.default) {
-    return schema.default;
-  }
-
-  var type = schema.type;
-  var defaultType = Array.isArray(type) ? type[0] : type;
-
-  if (typeof defaultType !== 'string') {
-    return defaultType.enum[0];
-  }
-
-  switch (defaultType) {
-    case 'boolean':
-      return false;
-
-    case 'string':
-      return '';
-
-    case 'number':
-      return 0;
-
-    case 'object':
-      return {};
-  }
-}
-/**
- * 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 = /*#__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 || {};
-
-    for (var prop in SETTINGS_SCHEMA) {
-      if (SETTINGS_SCHEMA.hasOwnProperty(prop)) {
-        // $FlowFixMe
-        var schema = SETTINGS_SCHEMA[prop]; // TODO: validate options
-        // $FlowFixMe
-
-        this[prop] = options[prop] !== undefined ? schema.processor ? schema.processor(options[prop]) : options[prop] : getDefaultValue(schema);
-      }
-    }
-  }
-  /**
-   * 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 styles[_sup[this.id]];
-  }
-  /**
-   * Get the style of a subscript given a base in the current style.
-   */
-  ;
-
-  _proto.sub = function sub() {
-    return styles[_sub[this.id]];
-  }
-  /**
-   * Get the style of a fraction numerator given the fraction in the current
-   * style.
-   */
-  ;
-
-  _proto.fracNum = function fracNum() {
-    return styles[_fracNum[this.id]];
-  }
-  /**
-   * Get the style of a fraction denominator given the fraction in the current
-   * style.
-   */
-  ;
-
-  _proto.fracDen = function fracDen() {
-    return 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 styles[_cramp[this.id]];
-  }
-  /**
-   * Get a text or display version of this style.
-   */
-  ;
-
-  _proto.text = function text() {
-    return 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 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: styles[D],
-  TEXT: styles[T],
-  SCRIPT: styles[S],
-  SCRIPTSCRIPT: 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] // Combining Diacritical marks
-  ]
-}, {
-  // 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]]
-}, {
-  // Armenian
-  name: 'armenian',
-  blocks: [[0x0530, 0x058F]]
-}, {
-  // 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] // Fullwidth punctuation
-  // TODO: add halfwidth Katakana and Romanji glyphs
-  ]
-}, {
-  // 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 vinculum. Prevents image cropping.
-// The vinculum of a \sqrt can be made thicker by a KaTeX rendering option.
-// Think of variable extraVinculum as two detours in the SVG path.
-// The detour begins at the lower left of the area labeled extraVinculum below.
-// The detour proceeds one extraVinculum distance up and slightly to the right,
-// displacing the radiused corner between surd and vinculum. The radius is
-// traversed as usual, then the detour resumes. It goes right, to the end of
-// the very long vinculum, then down one extraVinculum distance,
-// after which it resumes regular path geometry for the radical.
-
-/*                                                  vinculum
-                                                   /
-         /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraVinculum
-        / █████████████████████←0.04em (40 unit) std vinculum thickness
-       / /
-      / /
-     / /\
-    / / surd
-*/
-
-var sqrtMain = function sqrtMain(extraVinculum, hLinePad) {
-  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
-  return "M95," + (622 + extraVinculum + 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" + extraVinculum / 2.075 + " -" + extraVinculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize1 = function sqrtSize1(extraVinculum, hLinePad) {
-  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
-  return "M263," + (601 + extraVinculum + 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" + extraVinculum / 2.084 + " -" + extraVinculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize2 = function sqrtSize2(extraVinculum, hLinePad) {
-  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
-  return "M983 " + (10 + extraVinculum + hLinePad) + "\nl" + extraVinculum / 3.13 + " -" + extraVinculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraVinculum) + "\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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize3 = function sqrtSize3(extraVinculum, hLinePad) {
-  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
-  return "M424," + (2398 + extraVinculum + 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" + extraVinculum / 4.223 + " -" + extraVinculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "\nh400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize4 = function sqrtSize4(extraVinculum, hLinePad) {
-  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
-  return "M473," + (2713 + extraVinculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraVinculum / 5.298 + " -" + extraVinculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "H1017.7z";
-};
-
-var phasePath = function phasePath(y) {
-  var x = y / 2; // x coordinate at top of angle
-
-  return "M400000 " + y + " H0 L" + x + " 0 l65 45 L145 " + (y - 80) + " H400000z";
-};
-
-var sqrtTall = function sqrtTall(extraVinculum, 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 vinculum
-  // to a point near (14 units) the bottom of the surd. The vinculum
-  // is normally 40 units thick. So the length of the line in question is:
-  var vertSegment = viewBoxHeight - 54 - hLinePad - extraVinculum;
-  return "M702 " + (extraVinculum + hLinePad) + "H400000" + (40 + extraVinculum) + "\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 + extraVinculum) + "H742z";
-};
-
-var sqrtPath = function sqrtPath(size, extraVinculum, viewBoxHeight) {
-  extraVinculum = 1000 * extraVinculum; // Convert from document ems to viewBox.
-
-  var path = "";
-
-  switch (size) {
-    case "sqrtMain":
-      path = sqrtMain(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize1":
-      path = sqrtSize1(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize2":
-      path = sqrtSize2(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize3":
-      path = sqrtSize3(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize4":
-      path = sqrtSize4(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtTall":
-      path = sqrtTall(extraVinculum, hLinePad, viewBoxHeight);
-  }
-
-  return path;
-};
-var innerPath = function innerPath(name, height) {
-  // The inner part of stretchy tall delimiters
-  switch (name) {
-    case "\u239C":
-      return "M291 0 H417 V" + height + " H291z M291 0 H417 V" + height + " H291z";
-
-    case "\u2223":
-      return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z";
-
-    case "\u2225":
-      return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z" + ("M367 0 H410 V" + height + " H367z M367 0 H410 V" + height + " H367z");
-
-    case "\u239F":
-      return "M457 0 H583 V" + height + " H457z M457 0 H583 V" + height + " H457z";
-
-    case "\u23A2":
-      return "M319 0 H403 V" + height + " H319z M319 0 H403 V" + height + " H319z";
-
-    case "\u23A5":
-      return "M263 0 H347 V" + height + " H263z M263 0 H347 V" + height + " H263z";
-
-    case "\u23AA":
-      return "M384 0 H504 V" + height + " H384z M384 0 H504 V" + height + " H384z";
-
-    case "\u23D0":
-      return "M312 0 H355 V" + height + " H312z M312 0 H355 V" + height + " H312z";
-
-    case "\u2016":
-      return "M257 0 H300 V" + height + " H257z M257 0 H300 V" + height + " H257z" + ("M478 0 H521 V" + height + " H478z M478 0 H521 V" + height + " H478z");
-
-    default:
-      return "";
-  }
-};
-var 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 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"
-};
-var tallDelim = function tallDelim(label, midHeight) {
-  switch (label) {
-    case "lbrack":
-      return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v1759 h347 v-84\nH403z M403 1759 V0 H319 V1759 v" + midHeight + " v1759 h84z";
-
-    case "rbrack":
-      return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v1759 H0 v84 H347z\nM347 1759 V0 H263 V1759 v" + midHeight + " v1759 h84z";
-
-    case "vert":
-      return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z";
-
-    case "doublevert":
-      return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z\nM367 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M410 15 H367 v585 v" + midHeight + " v585 h43z";
-
-    case "lfloor":
-      return "M319 602 V0 H403 V602 v" + midHeight + " v1715 h263 v84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z";
-
-    case "rfloor":
-      return "M319 602 V0 H403 V602 v" + midHeight + " v1799 H0 v-84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z";
-
-    case "lceil":
-      return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v602 h84z\nM403 1759 V0 H319 V1759 v" + midHeight + " v602 h84z";
-
-    case "rceil":
-      return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v602 h84z\nM347 1759 V0 h-84 V1759 v" + midHeight + " v602 h84z";
-
-    case "lparen":
-      return "M863,9c0,-2,-2,-5,-6,-9c0,0,-17,0,-17,0c-12.7,0,-19.3,0.3,-20,1\nc-5.3,5.3,-10.3,11,-15,17c-242.7,294.7,-395.3,682,-458,1162c-21.3,163.3,-33.3,349,\n-36,557 l0," + (midHeight + 84) + "c0.2,6,0,26,0,60c2,159.3,10,310.7,24,454c53.3,528,210,\n949.7,470,1265c4.7,6,9.7,11.7,15,17c0.7,0.7,7,1,19,1c0,0,18,0,18,0c4,-4,6,-7,6,-9\nc0,-2.7,-3.3,-8.7,-10,-18c-135.3,-192.7,-235.5,-414.3,-300.5,-665c-65,-250.7,-102.5,\n-544.7,-112.5,-882c-2,-104,-3,-167,-3,-189\nl0,-" + (midHeight + 92) + "c0,-162.7,5.7,-314,17,-454c20.7,-272,63.7,-513,129,-723c65.3,\n-210,155.3,-396.3,270,-559c6.7,-9.3,10,-15.3,10,-18z";
-
-    case "rparen":
-      return "M76,0c-16.7,0,-25,3,-25,9c0,2,2,6.3,6,13c21.3,28.7,42.3,60.3,\n63,95c96.7,156.7,172.8,332.5,228.5,527.5c55.7,195,92.8,416.5,111.5,664.5\nc11.3,139.3,17,290.7,17,454c0,28,1.7,43,3.3,45l0," + (midHeight + 9) + "\nc-3,4,-3.3,16.7,-3.3,38c0,162,-5.7,313.7,-17,455c-18.7,248,-55.8,469.3,-111.5,664\nc-55.7,194.7,-131.8,370.3,-228.5,527c-20.7,34.7,-41.7,66.3,-63,95c-2,3.3,-4,7,-6,11\nc0,7.3,5.7,11,17,11c0,0,11,0,11,0c9.3,0,14.3,-0.3,15,-1c5.3,-5.3,10.3,-11,15,-17\nc242.7,-294.7,395.3,-681.7,458,-1161c21.3,-164.7,33.3,-350.7,36,-558\nl0,-" + (midHeight + 144) + "c-2,-159.3,-10,-310.7,-24,-454c-53.3,-528,-210,-949.7,\n-470,-1265c-4.7,-6,-9.7,-11.7,-15,-17c-0.7,-0.7,-6.7,-1,-18,-1z";
-
-    default:
-      // We should not ever get here.
-      throw new Error("Unknown stretchy delimiter.");
-  }
-};
-;// 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 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/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],
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-    "10216": [0.95003, 1.45, 0, 0, 0.75],
-    "10217": [0.95003, 1.45, 0, 0, 0.75]
-  },
-  "Size4-Regular": {
-    "32": [0, 0, 0, 0, 0.25],
-    "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],
-    "160": [0, 0, 0, 0, 0.25],
-    "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 arrays below, in that order.
-//
-// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respectively.
-// 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 retrieved 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',
-  'Ð': 'D',
-  'Þ': 'o',
-  'å': 'a',
-  '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 glyph
-    // 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/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] // size11: [24.88, 20.74, 17.28] \HUGE
-];
-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 = /*#__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.BASESIZE = 6;
-/* harmony default export */ var src_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 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);
-};
-/**
- * Round `n` to 4 decimal places, or to the nearest 1/10,000th em. See
- * https://github.com/KaTeX/KaTeX/pull/2460.
- */
-
-var makeEm = function makeEm(n) {
-  return +n.toFixed(4) + "em";
-};
-;// 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 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 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 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 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 = makeEm(this.italic);
-    }
-
-    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 xmlns=\"http://www.w3.org/2000/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 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, \phase, & tall delims
-  }
-
-  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", path[this.pathName]);
-    }
-
-    return node;
-  };
-
-  _proto6.toMarkup = function toMarkup() {
-    if (this.alternate) {
-      return "<path d='" + this.alternate + "'/>";
-    } else {
-      return "<path d='" + 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 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) + ".");
-  }
-}
-;// 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 math = "math";
-var symbols_text = "text"; // fonts:
-
-var main = "main";
-var ams = "ams"; // groups:
-
-var accent = "accent-token";
-var bin = "bin";
-var symbols_close = "close";
-var inner = "inner";
-var mathord = "mathord";
-var op = "op-token";
-var symbols_open = "open";
-var punct = "punct";
-var rel = "rel";
-var spacing = "spacing";
-var 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, ".", "\\ldotp");
-defineSymbol(math, main, punct, "\u22C5", "\\cdotp"); // Misc Symbols
-
-defineSymbol(math, main, textord, "#", "\\#");
-defineSymbol(symbols_text, main, textord, "#", "\\#");
-defineSymbol(math, main, textord, "&", "\\&");
-defineSymbol(symbols_text, main, textord, "&", "\\&");
-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(math, main, textord, "\xA7", "\\S", true);
-defineSymbol(symbols_text, main, textord, "\xA7", "\\S");
-defineSymbol(math, main, textord, "\xB6", "\\P", true);
-defineSymbol(symbols_text, main, textord, "\xB6", "\\P"); // Math and Text
-
-defineSymbol(math, main, textord, "\u2020", "\\dag");
-defineSymbol(symbols_text, main, textord, "\u2020", "\\dag");
-defineSymbol(symbols_text, main, textord, "\u2020", "\\textdagger");
-defineSymbol(math, main, textord, "\u2021", "\\ddag");
-defineSymbol(symbols_text, main, textord, "\u2021", "\\ddag");
-defineSymbol(symbols_text, main, textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters
-
-defineSymbol(math, main, symbols_close, "\u23B1", "\\rmoustache", true);
-defineSymbol(math, main, symbols_open, "\u23B0", "\\lmoustache", true);
-defineSymbol(math, main, symbols_close, "\u27EF", "\\rgroup", true);
-defineSymbol(math, main, symbols_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", true);
-defineSymbol(math, main, bin, "\u2219", "\\bullet", true);
-defineSymbol(math, main, bin, "\u2021", "\\ddagger");
-defineSymbol(math, main, bin, "\u2240", "\\wr", true);
-defineSymbol(math, main, bin, "\u2A3F", "\\amalg");
-defineSymbol(math, main, bin, "&", "\\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, "\xAE", "\\circledR");
-defineSymbol(symbols_text, ams, textord, "\xAE", "\\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, "\xF0", "\\eth", true);
-defineSymbol(symbols_text, main, textord, "\xF0", "\xF0");
-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, "\xA5", "\\yen", true);
-defineSymbol(symbols_text, ams, textord, "\xA5", "\\yen", true);
-defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true);
-defineSymbol(symbols_text, 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, symbols_open, "\u250C", "\\@ulcorner", true);
-defineSymbol(math, ams, symbols_close, "\u2510", "\\@urcorner", true);
-defineSymbol(math, ams, symbols_open, "\u2514", "\\@llcorner", true);
-defineSymbol(math, ams, symbols_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, main, rel, "\u22B6", "\\origof", true); // not in font
-
-defineSymbol(math, main, rel, "\u22B7", "\\imageof", true); // not in font
-
-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(symbols_text, main, textord, "$", "\\$");
-defineSymbol(symbols_text, main, textord, "$", "\\textdollar");
-defineSymbol(math, main, textord, "%", "\\%");
-defineSymbol(symbols_text, main, textord, "%", "\\%");
-defineSymbol(math, main, textord, "_", "\\_");
-defineSymbol(symbols_text, main, textord, "_", "\\_");
-defineSymbol(symbols_text, 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, "\xAC", "\\neg", true);
-defineSymbol(math, main, textord, "\xAC", "\\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", "*", true);
-defineSymbol(math, main, bin, "+", "+");
-defineSymbol(math, main, bin, "\u2212", "-", true);
-defineSymbol(math, main, bin, "\u22C5", "\\cdot", true);
-defineSymbol(math, main, bin, "\u2218", "\\circ", true);
-defineSymbol(math, main, bin, "\xF7", "\\div", true);
-defineSymbol(math, main, bin, "\xB1", "\\pm", true);
-defineSymbol(math, main, bin, "\xD7", "\\times", true);
-defineSymbol(math, main, bin, "\u2229", "\\cap", true);
-defineSymbol(math, main, bin, "\u222A", "\\cup", true);
-defineSymbol(math, main, bin, "\u2216", "\\setminus", true);
-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, symbols_open, "\u27E8", "\\langle", true);
-defineSymbol(math, main, symbols_open, "\u2223", "\\lvert");
-defineSymbol(math, main, symbols_open, "\u2225", "\\lVert");
-defineSymbol(math, main, symbols_close, "?", "?");
-defineSymbol(math, main, symbols_close, "!", "!");
-defineSymbol(math, main, symbols_close, "\u27E9", "\\rangle", true);
-defineSymbol(math, main, symbols_close, "\u2223", "\\rvert");
-defineSymbol(math, main, symbols_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, "\xA0", "\\ ");
-defineSymbol(math, main, spacing, "\xA0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%
-
-defineSymbol(math, main, spacing, "\xA0", "\\nobreakspace");
-defineSymbol(symbols_text, main, spacing, "\xA0", "\\ ");
-defineSymbol(symbols_text, main, spacing, "\xA0", " ");
-defineSymbol(symbols_text, main, spacing, "\xA0", "\\space");
-defineSymbol(symbols_text, main, spacing, "\xA0", "\\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, symbols_open, "{", "\\{");
-defineSymbol(symbols_text, main, textord, "{", "\\{");
-defineSymbol(symbols_text, main, textord, "{", "\\textbraceleft");
-defineSymbol(math, main, symbols_close, "}", "\\}");
-defineSymbol(symbols_text, main, textord, "}", "\\}");
-defineSymbol(symbols_text, main, textord, "}", "\\textbraceright");
-defineSymbol(math, main, symbols_open, "{", "\\lbrace");
-defineSymbol(math, main, symbols_close, "}", "\\rbrace");
-defineSymbol(math, main, symbols_open, "[", "\\lbrack", true);
-defineSymbol(symbols_text, main, textord, "[", "\\lbrack", true);
-defineSymbol(math, main, symbols_close, "]", "\\rbrack", true);
-defineSymbol(symbols_text, main, textord, "]", "\\rbrack", true);
-defineSymbol(math, main, symbols_open, "(", "\\lparen", true);
-defineSymbol(math, main, symbols_close, ")", "\\rparen", true);
-defineSymbol(symbols_text, main, textord, "<", "\\textless", true); // in T1 fontenc
-
-defineSymbol(symbols_text, main, textord, ">", "\\textgreater", true); // in T1 fontenc
-
-defineSymbol(math, main, symbols_open, "\u230A", "\\lfloor", true);
-defineSymbol(math, main, symbols_close, "\u230B", "\\rfloor", true);
-defineSymbol(math, main, symbols_open, "\u2308", "\\lceil", true);
-defineSymbol(math, main, symbols_close, "\u2309", "\\rceil", true);
-defineSymbol(math, main, textord, "\\", "\\backslash");
-defineSymbol(math, main, textord, "\u2223", "|");
-defineSymbol(math, main, textord, "\u2223", "\\vert");
-defineSymbol(symbols_text, main, textord, "|", "\\textbar", true); // in T1 fontenc
-
-defineSymbol(math, main, textord, "\u2225", "\\|");
-defineSymbol(math, main, textord, "\u2225", "\\Vert");
-defineSymbol(symbols_text, main, textord, "\u2225", "\\textbardbl");
-defineSymbol(symbols_text, main, textord, "~", "\\textasciitilde");
-defineSymbol(symbols_text, main, textord, "\\", "\\textbackslash");
-defineSymbol(symbols_text, 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(symbols_text, main, inner, "\u2026", "\\textellipsis");
-defineSymbol(math, main, inner, "\u2026", "\\mathellipsis");
-defineSymbol(symbols_text, 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, "\xA8", "\\ddot");
-defineSymbol(math, main, accent, "~", "\\tilde");
-defineSymbol(math, main, accent, "\u02C9", "\\bar");
-defineSymbol(math, main, accent, "\u02D8", "\\breve");
-defineSymbol(math, main, accent, "\u02C7", "\\check");
-defineSymbol(math, main, accent, "^", "\\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(symbols_text, main, textord, "\u0131", "\\i", true);
-defineSymbol(symbols_text, main, textord, "\u0237", "\\j", true);
-defineSymbol(symbols_text, main, textord, "\xDF", "\\ss", true);
-defineSymbol(symbols_text, main, textord, "\xE6", "\\ae", true);
-defineSymbol(symbols_text, main, textord, "\u0153", "\\oe", true);
-defineSymbol(symbols_text, main, textord, "\xF8", "\\o", true);
-defineSymbol(symbols_text, main, textord, "\xC6", "\\AE", true);
-defineSymbol(symbols_text, main, textord, "\u0152", "\\OE", true);
-defineSymbol(symbols_text, main, textord, "\xD8", "\\O", true);
-defineSymbol(symbols_text, main, accent, "\u02CA", "\\'"); // acute
-
-defineSymbol(symbols_text, main, accent, "\u02CB", "\\`"); // grave
-
-defineSymbol(symbols_text, main, accent, "\u02C6", "\\^"); // circumflex
-
-defineSymbol(symbols_text, main, accent, "\u02DC", "\\~"); // tilde
-
-defineSymbol(symbols_text, main, accent, "\u02C9", "\\="); // macron
-
-defineSymbol(symbols_text, main, accent, "\u02D8", "\\u"); // breve
-
-defineSymbol(symbols_text, main, accent, "\u02D9", "\\."); // dot above
-
-defineSymbol(symbols_text, main, accent, "\xB8", "\\c"); // cedilla
-
-defineSymbol(symbols_text, main, accent, "\u02DA", "\\r"); // ring above
-
-defineSymbol(symbols_text, main, accent, "\u02C7", "\\v"); // caron
-
-defineSymbol(symbols_text, main, accent, "\xA8", '\\"'); // diaresis
-
-defineSymbol(symbols_text, main, accent, "\u02DD", "\\H"); // double acute
-
-defineSymbol(symbols_text, main, 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, textord, "\u2013", "--", true);
-defineSymbol(symbols_text, main, textord, "\u2013", "\\textendash");
-defineSymbol(symbols_text, main, textord, "\u2014", "---", true);
-defineSymbol(symbols_text, main, textord, "\u2014", "\\textemdash");
-defineSymbol(symbols_text, main, textord, "\u2018", "`", true);
-defineSymbol(symbols_text, main, textord, "\u2018", "\\textquoteleft");
-defineSymbol(symbols_text, main, textord, "\u2019", "'", true);
-defineSymbol(symbols_text, main, textord, "\u2019", "\\textquoteright");
-defineSymbol(symbols_text, main, textord, "\u201C", "``", true);
-defineSymbol(symbols_text, main, textord, "\u201C", "\\textquotedblleft");
-defineSymbol(symbols_text, main, textord, "\u201D", "''", true);
-defineSymbol(symbols_text, main, textord, "\u201D", "\\textquotedblright"); //  \degree from gensymb package
-
-defineSymbol(math, main, textord, "\xB0", "\\degree", true);
-defineSymbol(symbols_text, main, textord, "\xB0", "\\degree"); // \textdegree from inputenc package
-
-defineSymbol(symbols_text, main, 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(math, main, textord, "\xA3", "\\pounds");
-defineSymbol(math, main, textord, "\xA3", "\\mathsterling", true);
-defineSymbol(symbols_text, main, textord, "\xA3", "\\pounds");
-defineSymbol(symbols_text, main, textord, "\xA3", "\\textsterling", true);
-defineSymbol(math, ams, textord, "\u2720", "\\maltese");
-defineSymbol(symbols_text, 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
-
-var mathTextSymbols = "0123456789/@.\"";
-
-for (var i = 0; i < mathTextSymbols.length; i++) {
-  var ch = mathTextSymbols.charAt(i);
-  defineSymbol(math, main, textord, ch, ch);
-} // All of these are textords in text mode
-
-
-var textSymbols = "0123456789!@*()-=+\";:?/.,";
-
-for (var _i = 0; _i < textSymbols.length; _i++) {
-  var _ch = textSymbols.charAt(_i);
-
-  defineSymbol(symbols_text, main, textord, _ch, _ch);
-} // All of these are textords in text mode, and mathords in math mode
-
-
-var letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
-
-for (var _i2 = 0; _i2 < letters.length; _i2++) {
-  var _ch2 = letters.charAt(_i2);
-
-  defineSymbol(math, main, mathord, _ch2, _ch2);
-  defineSymbol(symbols_text, main, textord, _ch2, _ch2);
-} // Blackboard bold and script letters in Unicode range
-
-
-defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold
-
-defineSymbol(symbols_text, ams, textord, "C", "\u2102");
-defineSymbol(math, ams, textord, "H", "\u210D");
-defineSymbol(symbols_text, ams, textord, "H", "\u210D");
-defineSymbol(math, ams, textord, "N", "\u2115");
-defineSymbol(symbols_text, ams, textord, "N", "\u2115");
-defineSymbol(math, ams, textord, "P", "\u2119");
-defineSymbol(symbols_text, ams, textord, "P", "\u2119");
-defineSymbol(math, ams, textord, "Q", "\u211A");
-defineSymbol(symbols_text, ams, textord, "Q", "\u211A");
-defineSymbol(math, ams, textord, "R", "\u211D");
-defineSymbol(symbols_text, ams, textord, "R", "\u211D");
-defineSymbol(math, ams, textord, "Z", "\u2124");
-defineSymbol(symbols_text, ams, textord, "Z", "\u2124");
-defineSymbol(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 wideChar = "";
-
-for (var _i3 = 0; _i3 < letters.length; _i3++) {
-  var _ch3 = letters.charAt(_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.
-
-
-  wideChar = String.fromCharCode(0xD835, 0xDC00 + _i3); // A-Z a-z bold
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDC34 + _i3); // A-Z a-z italic
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDC68 + _i3); // A-Z a-z bold italic
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDD04 + _i3); // A-Z a-z Fractur
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDDA0 + _i3); // A-Z a-z sans-serif
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDDD4 + _i3); // A-Z a-z sans bold
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDE08 + _i3); // A-Z a-z sans italic
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDE70 + _i3); // A-Z a-z monospace
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-
-  if (_i3 < 26) {
-    // KaTeX fonts have only capital letters for blackboard bold and script.
-    // See exception for k below.
-    wideChar = String.fromCharCode(0xD835, 0xDD38 + _i3); // A-Z double struck
-
-    defineSymbol(math, main, mathord, _ch3, wideChar);
-    defineSymbol(symbols_text, main, textord, _ch3, wideChar);
-    wideChar = String.fromCharCode(0xD835, 0xDC9C + _i3); // A-Z script
-
-    defineSymbol(math, main, mathord, _ch3, wideChar);
-    defineSymbol(symbols_text, main, textord, _ch3, 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(symbols_text, main, textord, "k", wideChar); // Next, some wide character numerals
-
-for (var _i4 = 0; _i4 < 10; _i4++) {
-  var _ch4 = _i4.toString();
-
-  wideChar = String.fromCharCode(0xD835, 0xDFCE + _i4); // 0-9 bold
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch4, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDFE2 + _i4); // 0-9 sans serif
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch4, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDFEC + _i4); // 0-9 bold sans
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch4, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDFF6 + _i4); // 0-9 monospace
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(symbols_text, main, textord, _ch4, 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 = "\xD0\xDE\xFE";
-
-for (var _i5 = 0; _i5 < extraLatin.length; _i5++) {
-  var _ch5 = extraLatin.charAt(_i5);
-
-  defineSymbol(math, main, mathord, _ch5, _ch5);
-  defineSymbol(symbols_text, main, 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"] // a-z monospace
-];
-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"] // 0-9 monospace
-];
-var 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/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 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 makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
-  var lookup = 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 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");
-    }
-
-    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 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 === "\\" || src_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".
- */
-
-
-var 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.
- */
-
-
-var 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 = wideCharacterFont(text, mode),
-        wideFontName = _wideCharacterFont[0],
-        wideFontClass = _wideCharacterFont[1];
-
-    return 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 (lookupSymbol(text, fontName, mode).metrics) {
-      return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
-    } else if (ligatures.hasOwnProperty(text) && fontName.slice(0, 10) === "Typewriter") {
-      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
-      var parts = [];
-
-      for (var 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") {
-    var font = src_symbols[mode][text] && src_symbols[mode][text].font;
-
-    if (font === "ams") {
-      var _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) {
-      var _fontName2 = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
-
-      return 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 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 canCombine = function canCombine(prev, next) {
-  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
-    return false;
-  } // If prev and next both are just "mbin"s or "mord"s we don't combine them
-  // so that the proper spacing can be preserved.
-
-
-  if (prev.classes.length === 1) {
-    var cls = prev.classes[0];
-
-    if (cls === "mbin" || cls === "mord") {
-      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 consecutive domTree.symbolNodes into a single symbolNode.
- * Note: this function mutates the argument.
- */
-
-
-var 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 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.
- */
-
-
-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 makeSpan = function makeSpan(classes, children, options, style) {
-  var 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.
-
-
-var makeSvgSpan = function makeSvgSpan(classes, children, options, style) {
-  return new Span(classes, children, options, style);
-};
-
-var makeLineSpan = function makeLineSpan(className, options, thickness) {
-  var line = makeSpan([className], [], options);
-  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
-  line.style.borderBottomWidth = makeEm(line.height);
-  line.maxFontSize = 1.0;
-  return line;
-};
-/**
- * Makes an anchor with the given href, list of classes, list of children,
- * and options.
- */
-
-
-var makeAnchor = function makeAnchor(href, classes, children, options) {
-  var anchor = new Anchor(href, classes, children, options);
-  sizeElementFromChildren(anchor);
-  return anchor;
-};
-/**
- * Makes a document fragment with the given list of children.
- */
-
-
-var makeFragment = function makeFragment(children) {
-  var 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
- */
-
-
-var 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.
-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 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 = makeSpan(["pstrut"], []);
-  pstrut.style.height = makeEm(pstrutSize); // 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 = makeSpan(classes, [pstrut, _elem], undefined, style);
-      childWrap.style.top = makeEm(-pstrutSize - currPos - _elem.depth);
-
-      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 = makeSpan(["vlist"], realChildren);
-  vlist.style.height = makeEm(maxPos); // 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 = makeSpan([], []);
-    var depthStrut = makeSpan(["vlist"], [emptySpan]);
-    depthStrut.style.height = makeEm(-minPos); // Safari wants the first row to have inline content; otherwise it
-    // puts the bottom of the *second* row on the baseline.
-
-    var topStrut = makeSpan(["vlist-s"], [new SymbolNode("\u200B")]);
-    rows = [makeSpan(["vlist-r"], [vlist, topStrut]), makeSpan(["vlist-r"], [depthStrut])];
-  } else {
-    rows = [makeSpan(["vlist-r"], [vlist])];
-  }
-
-  var 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.
-
-
-var makeGlue = function makeGlue(measurement, options) {
-  // Make an empty span for the space
-  var rule = makeSpan(["mspace"], [], options);
-  var size = calculateSize(measurement, options);
-  rule.style.marginRight = makeEm(size);
-  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]
-};
-
-var 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 PathNode(pathName);
-  var svgNode = new SvgNode([path], {
-    "width": makeEm(width),
-    "height": makeEm(height),
-    // Override CSS rule `.katex svg { width: 100% }`
-    "style": "width:" + makeEm(width),
-    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
-    "preserveAspectRatio": "xMinYMin"
-  });
-  var span = makeSvgSpan(["overlay"], [svgNode], options);
-  span.height = height;
-  span.style.height = makeEm(height);
-  span.style.width = makeEm(width);
-  return span;
-};
-
-/* harmony default export */ var buildCommon = ({
-  fontMap: fontMap,
-  makeSymbol: makeSymbol,
-  mathsym: mathsym,
-  makeSpan: makeSpan,
-  makeSvgSpan: makeSvgSpan,
-  makeLineSpan: makeLineSpan,
-  makeAnchor: makeAnchor,
-  makeFragment: makeFragment,
-  wrapFragment: wrapFragment,
-  makeVList: makeVList,
-  makeOrd: makeOrd,
-  makeGlue: makeGlue,
-  staticSvg: staticSvg,
-  svgData: svgData,
-  tryCombineChars: 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,
-    allowedInArgument: !!props.allowedInArgument,
-    allowedInText: !!props.allowedInText,
-    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
-    numOptionalArgs: props.numOptionalArgs || 0,
-    infix: !!props.infix,
-    primitive: !!props.primitive,
-    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
-  });
-}
-var normalizeArgument = function normalizeArgument(arg) {
-  return arg.type === "ordgroup" && arg.body.length === 1 ? arg.body[0] : arg;
-}; // 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 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 = buildGroup(expression[i], options);
-
-    if (output instanceof DocumentFragment) {
-      var children = output.children;
-      groups.push.apply(groups, children);
-    } else {
-      groups.push(output);
-    }
-  } // Combine consecutive domTree.symbolNodes into a single symbolNode.
-
-
-  buildCommon.tryCombineChars(groups); // 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 = 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 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.
-
-
-var getOutermostNode = function getOutermostNode(node, side) {
-  var partialGroup = 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 buildGroup = function buildGroup(group, options, baseOptions) {
-  if (!group) {
-    return buildHTML_makeSpan();
-  }
-
-  if (_htmlGroupBuilders[group.type]) {
-    // Call the groupBuilders function
-    // $FlowFixMe
-    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 = makeEm(body.height + body.depth);
-
-  if (body.depth) {
-    strut.style.verticalAlign = makeEm(-body.depth);
-  }
-
-  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 = buildExpression(tree, options, "root");
-  var eqnNum;
-
-  if (expression.length === 2 && expression[1].hasClass("tag")) {
-    // An environment with automatic equation numbers, e.g. {gather}.
-    eqnNum = expression.pop();
-  }
-
-  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(buildExpression(tag, options, true));
-    tagChild.classes = ["tag"];
-    children.push(tagChild);
-  } else if (eqnNum) {
-    children.push(eqnNum);
-  }
-
-  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 = makeEm(htmlNode.height + htmlNode.depth);
-
-    if (htmlNode.depth) {
-      strut.style.verticalAlign = makeEm(-htmlNode.depth);
-    }
-  }
-
-  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 similarly 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).
- */
-
-var MathNode = /*#__PURE__*/function () {
-  function MathNode(type, children, classes) {
-    this.type = void 0;
-    this.attributes = void 0;
-    this.children = void 0;
-    this.classes = void 0;
-    this.type = type;
-    this.attributes = {};
-    this.children = children || [];
-    this.classes = classes || [];
-  }
-  /**
-   * 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]);
-      }
-    }
-
-    if (this.classes.length > 0) {
-      node.className = createClass(this.classes);
-    }
-
-    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 += "\"";
-      }
-    }
-
-    if (this.classes.length > 0) {
-      markup += " class =\"" + utils.escape(createClass(this.classes)) + "\"";
-    }
-
-    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 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 itself).
-   */
-  ;
-
-  _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", makeEm(this.width));
-      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=\"" + makeEm(this.width) + "\"/>";
-    }
-  }
-  /**
-   * 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: MathNode,
-  TextNode: TextNode,
-  SpaceNode: SpaceNode,
-  newDocumentFragment: newDocumentFragment
-});
-;// CONCATENATED MODULE: ./src/buildMathML.js
-/**
- * This file converts a parse tree into a corresponding 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 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.slice(4, 6) === "tt" || options.font && options.font.slice(4, 6) === "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 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 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 calligraphic
-    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 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 MathNode && lastGroup instanceof 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 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 TextNode && lastChild.text === "\u0338" && (_group.type === 'mo' || _group.type === 'mi' || _group.type === 'mn')) {
-          var _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.
- */
-
-var buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
-  return 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
-    // $FlowFixMe
-    var result = _mathmlGroupBuilders[group.type](group, options); // $FlowFixMe
-
-    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); // TODO: Make a pass thru the MathML similar to buildHTML.traverseNonSpaceNodes
-  // and add spacing nodes. This is necessary only adjacent to math operators
-  // like \sin or \lim or to subsup elements that contain math operators.
-  // MathML takes care of the other spacing issues.
-  // 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 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 optionsFromSettings = function optionsFromSettings(settings) {
-  return new src_Options({
-    style: settings.displayMode ? src_Style.DISPLAY : src_Style.TEXT,
-    maxSize: settings.maxSize,
-    minRuleThickness: settings.minRuleThickness
-  });
-};
-
-var 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 = function buildTree(tree, expression, settings) {
-  var options = 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 displayWrap(katexNode, settings);
-};
-var buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
-  var options = optionsFromSettings(settings);
-  var htmlNode = buildHTML(tree, options);
-  var katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
-  return displayWrap(katexNode, settings);
-};
-/* harmony default export */ var src_buildTree = ((/* unused pure expression or super */ null && (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.
-  "\\cdrightarrow": "\u2192",
-  "\\cdleftarrow": "\u2190",
-  "\\cdlongequal": "="
-};
-
-var mathMLnode = function mathMLnode(label) {
-  var node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.replace(/^\\/, '')])]);
-  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"],
-  "\\cdrightarrow": [["rightarrow"], 3.0, 522, "xMaxYMin"],
-  // CD minwwidth2.5pc
-  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
-  "\\cdleftarrow": [["leftarrow"], 3.0, 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"],
-  "\\cdlongequal": [["longequal"], 3.0, 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 svgSpan = function svgSpan(group, options) {
-  // Create a span with inline SVG for the element.
-  function buildSvgSpan_() {
-    var viewBoxWidth = 400000; // default
-
-    var label = group.label.slice(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`.
-      // $FlowFixMe
-      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 PathNode(pathName);
-      var svgNode = new SvgNode([path], {
-        "width": "100%",
-        "height": makeEm(_height),
-        "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 PathNode(paths[i]);
-
-        var _svgNode = new SvgNode([_path], {
-          "width": "400em",
-          "height": makeEm(_height2),
-          "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 = makeEm(_height2);
-          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 = makeEm(height);
-
-  if (minWidth > 0) {
-    span.style.minWidth = makeEm(minWidth);
-  }
-
-  return span;
-};
-
-var encloseSpan = function encloseSpan(inner, label, topPad, bottomPad, options) {
-  // Return an image span for \cancel, \bcancel, \xcancel, \fbox, or \angl
-  var img;
-  var totalHeight = inner.height + inner.depth + topPad + bottomPad;
-
-  if (/fbox|color|angl/.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": makeEm(totalHeight)
-    });
-    img = buildCommon.makeSvgSpan([], [svgNode], options);
-  }
-
-  img.height = totalHeight;
-  img.style.height = makeEm(totalHeight);
-  return img;
-};
-
-/* harmony default export */ var stretchy = ({
-  encloseSpan: encloseSpan,
-  mathMLnode: mathMLnode,
-  svgSpan: 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)));
-  } // $FlowFixMe, >=0.125
-
-
-  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
-// also "supsub" since an accent can affect super/subscripting.
-var 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(buildGroup(grp, options)); // reset original base
-
-    grp.base = group;
-  } else {
-    group = assertNodeType(grp, "accent");
-    base = group.base;
-  } // Build the base group
-
-
-  var body = 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 = 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
-  }
-
-  var accentBelow = group.label === "\\c"; // calculate the amount of space between the body and the accent
-
-  var clearance = accentBelow ? body.height + body.depth : 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;
-
-      if (accentBelow) {
-        clearance += accent.depth;
-      }
-    }
-
-    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 = makeEm(left); // \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% - " + makeEm(2 * skew) + ")",
-          marginLeft: makeEm(2 * skew)
-        } : 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 mathmlBuilder = function mathmlBuilder(group, options) {
-  var accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [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 = normalizeArgument(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: htmlBuilder,
-  mathmlBuilder: mathmlBuilder
-}); // Text-mode accents
-
-defineFunction({
-  type: "accent",
-  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\c", "\\r", "\\H", "\\v", "\\textcircled"],
-  props: {
-    numArgs: 1,
-    allowedInText: true,
-    allowedInMath: true,
-    // unless in strict mode
-    argTypes: ["primitive"]
-  },
-  handler: function handler(context, args) {
-    var base = args[0];
-    var mode = context.parser.mode;
-
-    if (mode === "math") {
-      context.parser.settings.reportNonstrict("mathVsTextAccents", "LaTeX's accent " + context.funcName + " works only in text mode");
-      mode = "text";
-    }
-
-    return {
-      type: "accent",
-      mode: mode,
-      label: context.funcName,
-      isStretchy: false,
-      isShifty: true,
-      base: base
-    };
-  },
-  htmlBuilder: htmlBuilder,
-  mathmlBuilder: 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 = 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 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", // The next 3 functions are here only to support the {CD} environment.
-  "\\\\cdrightarrow", "\\\\cdleftarrow", "\\\\cdlongequal"],
-  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
-  // unambiguously 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(buildGroup(group.body, newOptions, options), options);
-    var arrowPrefix = group.label.slice(0, 2) === "\\x" ? "x" : "cd";
-    upperGroup.classes.push(arrowPrefix + "-arrow-pad");
-    var 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(arrowPrefix + "-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);
-    arrowNode.setAttribute("minsize", group.label.charAt(0) === "x" ? "1.75em" : "3.0em");
-    var node;
-
-    if (group.body) {
-      var upperNode = paddedNode(buildMathML_buildGroup(group.body, options));
-
-      if (group.below) {
-        var lowerNode = 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 = 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 = paddedNode();
-      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
-    }
-
-    return node;
-  }
-});
-;// CONCATENATED MODULE: ./src/functions/mclass.js
-
-
-
-
-
-
-var mclass_makeSpan = buildCommon.makeSpan;
-
-function mclass_htmlBuilder(group, options) {
-  var elements = 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") {
-    node = new mathMLTree.MathNode("mpadded", 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";
-    } else if (group.mclass === "minner") {
-      node.attributes.lspace = "0.0556em"; // 1 mu is the most likely option
-
-      node.attributes.width = "+0.1111em";
-    } // 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,
-    primitive: true
-  },
-  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.slice(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: ordargument(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/pmb.js
-
-
-
-
-
-
-// \pmb is a simulation of bold font.
-// The version of \pmb in ambsy.sty works by typesetting three copies
-// with small offsets. We use CSS text-shadow.
-// It's a hack. Not as good as a real bold font. Better than nothing.
-defineFunction({
-  type: "pmb",
-  names: ["\\pmb"],
-  props: {
-    numArgs: 1,
-    allowedInText: true
-  },
-  handler: function handler(_ref, args) {
-    var parser = _ref.parser;
-    return {
-      type: "pmb",
-      mode: parser.mode,
-      mclass: binrelClass(args[0]),
-      body: ordargument(args[0])
-    };
-  },
-  htmlBuilder: function htmlBuilder(group, options) {
-    var elements = buildExpression(group.body, options, true);
-    var node = buildCommon.makeSpan([group.mclass], elements, options);
-    node.style.textShadow = "0.02em 0.01em 0.04px";
-    return node;
-  },
-  mathmlBuilder: function mathmlBuilder(group, style) {
-    var inner = buildMathML_buildExpression(group.body, style); // Wrap with an <mstyle> element.
-
-    var node = new mathMLTree.MathNode("mstyle", inner);
-    node.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px");
-    return node;
-  }
-});
-;// CONCATENATED MODULE: ./src/environments/cd.js
-
-
-
-
-
-
-
-
-var cdArrowFunctionName = {
-  ">": "\\\\cdrightarrow",
-  "<": "\\\\cdleftarrow",
-  "=": "\\\\cdlongequal",
-  "A": "\\uparrow",
-  "V": "\\downarrow",
-  "|": "\\Vert",
-  ".": "no arrow"
-};
-
-var newCell = function newCell() {
-  // Create an empty cell, to be filled below with parse nodes.
-  // The parseTree from this module must be constructed like the
-  // one created by parseArray(), so an empty CD cell must
-  // be a ParseNode<"styling">. And CD is always displaystyle.
-  // So these values are fixed and flow can do implicit typing.
-  return {
-    type: "styling",
-    body: [],
-    mode: "math",
-    style: "display"
-  };
-};
-
-var isStartOfArrow = function isStartOfArrow(node) {
-  return node.type === "textord" && node.text === "@";
-};
-
-var isLabelEnd = function isLabelEnd(node, endChar) {
-  return (node.type === "mathord" || node.type === "atom") && node.text === endChar;
-};
-
-function cdArrow(arrowChar, labels, parser) {
-  // Return a parse tree of an arrow and its labels.
-  // This acts in a way similar to a macro expansion.
-  var funcName = cdArrowFunctionName[arrowChar];
-
-  switch (funcName) {
-    case "\\\\cdrightarrow":
-    case "\\\\cdleftarrow":
-      return parser.callFunction(funcName, [labels[0]], [labels[1]]);
-
-    case "\\uparrow":
-    case "\\downarrow":
-      {
-        var leftLabel = parser.callFunction("\\\\cdleft", [labels[0]], []);
-        var bareArrow = {
-          type: "atom",
-          text: funcName,
-          mode: "math",
-          family: "rel"
-        };
-        var sizedArrow = parser.callFunction("\\Big", [bareArrow], []);
-        var rightLabel = parser.callFunction("\\\\cdright", [labels[1]], []);
-        var arrowGroup = {
-          type: "ordgroup",
-          mode: "math",
-          body: [leftLabel, sizedArrow, rightLabel]
-        };
-        return parser.callFunction("\\\\cdparent", [arrowGroup], []);
-      }
-
-    case "\\\\cdlongequal":
-      return parser.callFunction("\\\\cdlongequal", [], []);
-
-    case "\\Vert":
-      {
-        var arrow = {
-          type: "textord",
-          text: "\\Vert",
-          mode: "math"
-        };
-        return parser.callFunction("\\Big", [arrow], []);
-      }
-
-    default:
-      return {
-        type: "textord",
-        text: " ",
-        mode: "math"
-      };
-  }
-}
-
-function parseCD(parser) {
-  // Get the array's parse nodes with \\ temporarily mapped to \cr.
-  var parsedRows = [];
-  parser.gullet.beginGroup();
-  parser.gullet.macros.set("\\cr", "\\\\\\relax");
-  parser.gullet.beginGroup();
-
-  while (true) {
-    // eslint-disable-line no-constant-condition
-    // Get the parse nodes for the next row.
-    parsedRows.push(parser.parseExpression(false, "\\\\"));
-    parser.gullet.endGroup();
-    parser.gullet.beginGroup();
-    var next = parser.fetch().text;
-
-    if (next === "&" || next === "\\\\") {
-      parser.consume();
-    } else if (next === "\\end") {
-      if (parsedRows[parsedRows.length - 1].length === 0) {
-        parsedRows.pop(); // final row ended in \\
-      }
-
-      break;
-    } else {
-      throw new src_ParseError("Expected \\\\ or \\cr or \\end", parser.nextToken);
-    }
-  }
-
-  var row = [];
-  var body = [row]; // Loop thru the parse nodes. Collect them into cells and arrows.
-
-  for (var i = 0; i < parsedRows.length; i++) {
-    // Start a new row.
-    var rowNodes = parsedRows[i]; // Create the first cell.
-
-    var cell = newCell();
-
-    for (var j = 0; j < rowNodes.length; j++) {
-      if (!isStartOfArrow(rowNodes[j])) {
-        // If a parseNode is not an arrow, it goes into a cell.
-        cell.body.push(rowNodes[j]);
-      } else {
-        // Parse node j is an "@", the start of an arrow.
-        // Before starting on the arrow, push the cell into `row`.
-        row.push(cell); // Now collect parseNodes into an arrow.
-        // The character after "@" defines the arrow type.
-
-        j += 1;
-        var arrowChar = assertSymbolNodeType(rowNodes[j]).text; // Create two empty label nodes. We may or may not use them.
-
-        var labels = new Array(2);
-        labels[0] = {
-          type: "ordgroup",
-          mode: "math",
-          body: []
-        };
-        labels[1] = {
-          type: "ordgroup",
-          mode: "math",
-          body: []
-        }; // Process the arrow.
-
-        if ("=|.".indexOf(arrowChar) > -1) {// Three "arrows", ``@=`, `@|`, and `@.`, do not take labels.
-          // Do nothing here.
-        } else if ("<>AV".indexOf(arrowChar) > -1) {
-          // Four arrows, `@>>>`, `@<<<`, `@AAA`, and `@VVV`, each take
-          // two optional labels. E.g. the right-point arrow syntax is
-          // really:  @>{optional label}>{optional label}>
-          // Collect parseNodes into labels.
-          for (var labelNum = 0; labelNum < 2; labelNum++) {
-            var inLabel = true;
-
-            for (var k = j + 1; k < rowNodes.length; k++) {
-              if (isLabelEnd(rowNodes[k], arrowChar)) {
-                inLabel = false;
-                j = k;
-                break;
-              }
-
-              if (isStartOfArrow(rowNodes[k])) {
-                throw new src_ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[k]);
-              }
-
-              labels[labelNum].body.push(rowNodes[k]);
-            }
-
-            if (inLabel) {
-              // isLabelEnd never returned a true.
-              throw new src_ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[j]);
-            }
-          }
-        } else {
-          throw new src_ParseError("Expected one of \"<>AV=|.\" after @", rowNodes[j]);
-        } // Now join the arrow to its labels.
-
-
-        var arrow = cdArrow(arrowChar, labels, parser); // Wrap the arrow in  ParseNode<"styling">.
-        // This is done to match parseArray() behavior.
-
-        var wrappedArrow = {
-          type: "styling",
-          body: [arrow],
-          mode: "math",
-          style: "display" // CD is always displaystyle.
-
-        };
-        row.push(wrappedArrow); // In CD's syntax, cells are implicit. That is, everything that
-        // is not an arrow gets collected into a cell. So create an empty
-        // cell now. It will collect upcoming parseNodes.
-
-        cell = newCell();
-      }
-    }
-
-    if (i % 2 === 0) {
-      // Even-numbered rows consist of: cell, arrow, cell, arrow, ... cell
-      // The last cell is not yet pushed into `row`, so:
-      row.push(cell);
-    } else {
-      // Odd-numbered rows consist of: vert arrow, empty cell, ... vert arrow
-      // Remove the empty cell that was placed at the beginning of `row`.
-      row.shift();
-    }
-
-    row = [];
-    body.push(row);
-  } // End row group
-
-
-  parser.gullet.endGroup(); // End array group defining \\
-
-  parser.gullet.endGroup(); // define column separation.
-
-  var cols = new Array(body[0].length).fill({
-    type: "align",
-    align: "c",
-    pregap: 0.25,
-    // CD package sets \enskip between columns.
-    postgap: 0.25 // So pre and post each get half an \enskip, i.e. 0.25em.
-
-  });
-  return {
-    type: "array",
-    mode: "math",
-    body: body,
-    arraystretch: 1,
-    addJot: true,
-    rowGaps: [null],
-    cols: cols,
-    colSeparationType: "CD",
-    hLinesBeforeRow: new Array(body.length + 1).fill([])
-  };
-} // The functions below are not available for general use.
-// They are here only for internal use by the {CD} environment in placing labels
-// next to vertical arrows.
-// We don't need any such functions for horizontal arrows because we can reuse
-// the functionality that already exists for extensible arrows.
-
-defineFunction({
-  type: "cdlabel",
-  names: ["\\\\cdleft", "\\\\cdright"],
-  props: {
-    numArgs: 1
-  },
-  handler: function handler(_ref, args) {
-    var parser = _ref.parser,
-        funcName = _ref.funcName;
-    return {
-      type: "cdlabel",
-      mode: parser.mode,
-      side: funcName.slice(4),
-      label: args[0]
-    };
-  },
-  htmlBuilder: function htmlBuilder(group, options) {
-    var newOptions = options.havingStyle(options.style.sup());
-    var label = buildCommon.wrapFragment(buildGroup(group.label, newOptions, options), options);
-    label.classes.push("cd-label-" + group.side);
-    label.style.bottom = makeEm(0.8 - label.depth); // Zero out label height & depth, so vertical align of arrow is set
-    // by the arrow height, not by the label.
-
-    label.height = 0;
-    label.depth = 0;
-    return label;
-  },
-  mathmlBuilder: function mathmlBuilder(group, options) {
-    var label = new mathMLTree.MathNode("mrow", [buildMathML_buildGroup(group.label, options)]);
-    label = new mathMLTree.MathNode("mpadded", [label]);
-    label.setAttribute("width", "0");
-
-    if (group.side === "left") {
-      label.setAttribute("lspace", "-1width");
-    } // We have to guess at vertical alignment. We know the arrow is 1.8em tall,
-    // But we don't know the height or depth of the label.
-
-
-    label.setAttribute("voffset", "0.7em");
-    label = new mathMLTree.MathNode("mstyle", [label]);
-    label.setAttribute("displaystyle", "false");
-    label.setAttribute("scriptlevel", "1");
-    return label;
-  }
-});
-defineFunction({
-  type: "cdlabelparent",
-  names: ["\\\\cdparent"],
-  props: {
-    numArgs: 1
-  },
-  handler: function handler(_ref2, args) {
-    var parser = _ref2.parser;
-    return {
-      type: "cdlabelparent",
-      mode: parser.mode,
-      fragment: args[0]
-    };
-  },
-  htmlBuilder: function htmlBuilder(group, options) {
-    // Wrap the vertical arrow and its labels.
-    // The parent gets position: relative. The child gets position: absolute.
-    // So CSS can locate the label correctly.
-    var parent = buildCommon.wrapFragment(buildGroup(group.fragment, options), options);
-    parent.classes.push("cd-vert-arrow");
-    return parent;
-  },
-  mathmlBuilder: function mathmlBuilder(group, options) {
-    return new mathMLTree.MathNode("mrow", [buildMathML_buildGroup(group.fragment, options)]);
-  }
-});
-;// 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);
-    var text;
-
-    if (isNaN(code)) {
-      throw new src_ParseError("\\@char has non-numeric argument " + number); // If we drop IE support, the following code could be replaced with
-      // text = String.fromCodePoint(code)
-    } else if (code < 0 || code >= 0x10ffff) {
-      throw new src_ParseError("\\@char with invalid code point " + number);
-    } else if (code <= 0xffff) {
-      text = String.fromCharCode(code);
-    } else {
-      // Astral code point; split into surrogate halves
-      code -= 0x10000;
-      text = String.fromCharCode((code >> 10) + 0xd800, (code & 0x3ff) + 0xdc00);
-    }
-
-    return {
-      type: "textord",
-      mode: parser.mode,
-      text: text
-    };
-  }
-});
-;// CONCATENATED MODULE: ./src/functions/color.js
-
-
-
-
-
-
-
-var color_htmlBuilder = function htmlBuilder(group, options) {
-  var 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);
-};
-
-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,
-    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,
-    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
-
-
-
-
- // \DeclareRobustCommand\\{...\@xnewline}
-
-defineFunction({
-  type: "cr",
-  names: ["\\\\"],
-  props: {
-    numArgs: 0,
-    numOptionalArgs: 0,
-    allowedInText: true
-  },
-  handler: function handler(_ref, args, optArgs) {
-    var parser = _ref.parser;
-    var size = parser.gullet.future().text === "[" ? parser.parseSizeGroup(true) : null;
-    var newLine = !parser.settings.displayMode || !parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode");
-    return {
-      type: "cr",
-      mode: parser.mode,
-      newLine: newLine,
-      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) {
-    var span = buildCommon.makeSpan(["mspace"], [], options);
-
-    if (group.newLine) {
-      span.classes.push("newline");
-
-      if (group.size) {
-        span.style.marginTop = makeEm(calculateSize(group.size, options));
-      }
-    }
-
-    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", makeEm(calculateSize(group.size, options)));
-      }
-    }
-
-    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 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" // can’t be entered directly
-  ],
-  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,
-    primitive: true
-  },
-  handler: function handler(_ref2) {
-    var parser = _ref2.parser,
-        funcName = _ref2.funcName;
-    var tok = parser.gullet.popToken();
-    var name = tok.text;
-
-    if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) {
-      throw new src_ParseError("Expected a control sequence", tok);
-    }
-
-    var numArgs = 0;
-    var insert;
-    var delimiters = [[]]; // <parameter text> contains no braces
-
-    while (parser.gullet.future().text !== "{") {
-      tok = parser.gullet.popToken();
-
-      if (tok.text === "#") {
-        // If the very last character of the <parameter text> is #, so that
-        // this # is immediately followed by {, TeX will behave as if the {
-        // had been inserted at the right end of both the parameter text
-        // and the replacement text.
-        if (parser.gullet.future().text === "{") {
-          insert = parser.gullet.future();
-          delimiters[numArgs].push("{");
-          break;
-        } // A parameter, the first appearance of # must be followed by 1,
-        // the next by 2, and so on; up to nine #’s are allowed
-
-
-        tok = parser.gullet.popToken();
-
-        if (!/^[1-9]$/.test(tok.text)) {
-          throw new src_ParseError("Invalid argument number \"" + tok.text + "\"");
-        }
-
-        if (parseInt(tok.text) !== numArgs + 1) {
-          throw new src_ParseError("Argument number \"" + tok.text + "\" out of order");
-        }
-
-        numArgs++;
-        delimiters.push([]);
-      } else if (tok.text === "EOF") {
-        throw new src_ParseError("Expected a macro definition");
-      } else {
-        delimiters[numArgs].push(tok.text);
-      }
-    } // replacement text, enclosed in '{' and '}' and properly nested
-
-
-    var _parser$gullet$consum = parser.gullet.consumeArg(),
-        tokens = _parser$gullet$consum.tokens;
-
-    if (insert) {
-      tokens.unshift(insert);
-    }
-
-    if (funcName === "\\edef" || funcName === "\\xdef") {
-      tokens = parser.gullet.expandTokens(tokens);
-      tokens.reverse(); // to fit in with stack order
-    } // Final arg is the expansion of the macro
-
-
-    parser.gullet.macros.set(name, {
-      tokens: tokens,
-      numArgs: numArgs,
-      delimiters: delimiters
-    }, 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" // can’t be entered directly
-  ],
-  props: {
-    numArgs: 0,
-    allowedInText: true,
-    primitive: true
-  },
-  handler: function handler(_ref3) {
-    var parser = _ref3.parser,
-        funcName = _ref3.funcName;
-    var name = 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" // can’t be entered directly
-  ],
-  props: {
-    numArgs: 0,
-    allowedInText: true,
-    primitive: true
-  },
-  handler: function handler(_ref4) {
-    var parser = _ref4.parser,
-        funcName = _ref4.funcName;
-    var name = 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 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 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 = makeEm(shift);
-  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 makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
-  var text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
-  var 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)
- */
-
-
-var 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 makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
-  var inner = mathrmSize(delim, size, mode, options);
-  var span = styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), src_Style.TEXT, options, classes);
-
-  if (center) {
-    centerSpan(span, options, src_Style.TEXT);
-  }
-
-  return span;
-};
-/**
- * Make a span from a font glyph with the given offset and in the given font.
- * This is used in makeStackedDelim to make the stacking pieces for the delimiter.
- */
-
-
-var makeGlyphSpan = function makeGlyphSpan(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 corner = 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: corner
-  };
-};
-
-var makeInner = function makeInner(ch, height, options) {
-  // Create a span with inline SVG for the inner part of a tall stacked delimiter.
-  var width = fontMetricsData["Size4-Regular"][ch.charCodeAt(0)] ? fontMetricsData["Size4-Regular"][ch.charCodeAt(0)][4] : fontMetricsData["Size1-Regular"][ch.charCodeAt(0)][4];
-  var path = new PathNode("inner", innerPath(ch, Math.round(1000 * height)));
-  var svgNode = new SvgNode([path], {
-    "width": makeEm(width),
-    "height": makeEm(height),
-    // Override CSS rule `.katex svg { width: 100% }`
-    "style": "width:" + makeEm(width),
-    "viewBox": "0 0 " + 1000 * width + " " + Math.round(1000 * height),
-    "preserveAspectRatio": "xMinYMin"
-  });
-  var span = buildCommon.makeSvgSpan([], [svgNode], options);
-  span.height = height;
-  span.style.height = makeEm(height);
-  span.style.width = makeEm(width);
-  return {
-    type: "elem",
-    elem: span
-  };
-}; // Helpers for makeStackedDelim
-
-
-var lapInEms = 0.008;
-var lap = {
-  type: "kern",
-  size: -1 * lapInEms
-};
-var verts = ["|", "\\lvert", "\\rvert", "\\vert"];
-var doubleVerts = ["\\|", "\\lVert", "\\rVert", "\\Vert"];
-/**
- * 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 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;
-  var svgLabel = "";
-  var viewBoxWidth = 0;
-  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 (utils.contains(verts, delim)) {
-    repeat = "\u2223";
-    svgLabel = "vert";
-    viewBoxWidth = 333;
-  } else if (utils.contains(doubleVerts, delim)) {
-    repeat = "\u2225";
-    svgLabel = "doublevert";
-    viewBoxWidth = 556;
-  } else if (delim === "[" || delim === "\\lbrack") {
-    top = "\u23A1";
-    repeat = "\u23A2";
-    bottom = "\u23A3";
-    font = "Size4-Regular";
-    svgLabel = "lbrack";
-    viewBoxWidth = 667;
-  } else if (delim === "]" || delim === "\\rbrack") {
-    top = "\u23A4";
-    repeat = "\u23A5";
-    bottom = "\u23A6";
-    font = "Size4-Regular";
-    svgLabel = "rbrack";
-    viewBoxWidth = 667;
-  } else if (delim === "\\lfloor" || delim === "\u230A") {
-    repeat = top = "\u23A2";
-    bottom = "\u23A3";
-    font = "Size4-Regular";
-    svgLabel = "lfloor";
-    viewBoxWidth = 667;
-  } else if (delim === "\\lceil" || delim === "\u2308") {
-    top = "\u23A1";
-    repeat = bottom = "\u23A2";
-    font = "Size4-Regular";
-    svgLabel = "lceil";
-    viewBoxWidth = 667;
-  } else if (delim === "\\rfloor" || delim === "\u230B") {
-    repeat = top = "\u23A5";
-    bottom = "\u23A6";
-    font = "Size4-Regular";
-    svgLabel = "rfloor";
-    viewBoxWidth = 667;
-  } else if (delim === "\\rceil" || delim === "\u2309") {
-    top = "\u23A4";
-    repeat = bottom = "\u23A5";
-    font = "Size4-Regular";
-    svgLabel = "rceil";
-    viewBoxWidth = 667;
-  } else if (delim === "(" || delim === "\\lparen") {
-    top = "\u239B";
-    repeat = "\u239C";
-    bottom = "\u239D";
-    font = "Size4-Regular";
-    svgLabel = "lparen";
-    viewBoxWidth = 875;
-  } else if (delim === ")" || delim === "\\rparen") {
-    top = "\u239E";
-    repeat = "\u239F";
-    bottom = "\u23A0";
-    font = "Size4-Regular";
-    svgLabel = "rparen";
-    viewBoxWidth = 875;
-  } 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 = getMetrics(top, font, mode);
-  var topHeightTotal = topMetrics.height + topMetrics.depth;
-  var repeatMetrics = getMetrics(repeat, font, mode);
-  var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
-  var bottomMetrics = getMetrics(bottom, font, mode);
-  var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
-  var middleHeightTotal = 0;
-  var middleFactor = 1;
-
-  if (middle !== null) {
-    var middleMetrics = getMetrics(middle, font, mode);
-    middleHeightTotal = middleMetrics.height + middleMetrics.depth;
-    middleFactor = 2; // repeat symmetrically above and below middle
-  } // Calculate 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; // Now, we start building the pieces that will go into the vlist
-  // Keep a list of the pieces of the stacked delimiter
-
-  var stack = [];
-
-  if (svgLabel.length > 0) {
-    // Instead of stacking glyphs, create a single SVG.
-    // This evades browser problems with imprecise positioning of spans.
-    var midHeight = realHeightTotal - topHeightTotal - bottomHeightTotal;
-    var viewBoxHeight = Math.round(realHeightTotal * 1000);
-    var pathStr = tallDelim(svgLabel, Math.round(midHeight * 1000));
-    var path = new PathNode(svgLabel, pathStr);
-    var width = (viewBoxWidth / 1000).toFixed(3) + "em";
-    var height = (viewBoxHeight / 1000).toFixed(3) + "em";
-    var svg = new SvgNode([path], {
-      "width": width,
-      "height": height,
-      "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight
-    });
-    var wrapper = buildCommon.makeSvgSpan([], [svg], options);
-    wrapper.height = viewBoxHeight / 1000;
-    wrapper.style.width = width;
-    wrapper.style.height = height;
-    stack.push({
-      type: "elem",
-      elem: wrapper
-    });
-  } else {
-    // Stack glyphs
-    // Start by adding the bottom symbol
-    stack.push(makeGlyphSpan(bottom, font, mode));
-    stack.push(lap); // overlap
-
-    if (middle === null) {
-      // The middle section will be an SVG. Make it an extra 0.016em tall.
-      // We'll overlap by 0.008em at top and bottom.
-      var innerHeight = realHeightTotal - topHeightTotal - bottomHeightTotal + 2 * lapInEms;
-      stack.push(makeInner(repeat, innerHeight, options));
-    } else {
-      // When there is a middle bit, we need the middle part and two repeated
-      // sections
-      var _innerHeight = (realHeightTotal - topHeightTotal - bottomHeightTotal - middleHeightTotal) / 2 + 2 * lapInEms;
-
-      stack.push(makeInner(repeat, _innerHeight, options)); // Now insert the middle of the brace.
-
-      stack.push(lap);
-      stack.push(makeGlyphSpan(middle, font, mode));
-      stack.push(lap);
-      stack.push(makeInner(repeat, _innerHeight, options));
-    } // Add the top symbol
-
-
-    stack.push(lap);
-    stack.push(makeGlyphSpan(top, font, mode));
-  } // Finally, build the vlist
-
-
-  var newOptions = options.havingBaseStyle(src_Style.TEXT);
-  var inner = buildCommon.makeVList({
-    positionType: "bottom",
-    positionData: depth,
-    children: stack
-  }, newOptions);
-  return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), src_Style.TEXT, options, classes);
-}; // All surds have 0.08em padding above the vinculum 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 sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraVinculum, options) {
-  var path = sqrtPath(sqrtName, extraVinculum, viewBoxHeight);
-  var pathNode = new PathNode(sqrtName, path);
-  var svg = new SvgNode([pathNode], {
-    // Note: 1000:1 ratio of viewBox to document em width.
-    "width": "400em",
-    "height": makeEm(height),
-    "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 vinculum.
-  // If Settings.minRuleThickness is larger than that, we add extraVinculum.
-
-  var extraVinculum = 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 vinculum. 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 * extraVinculum + 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 + extraVinculum + emPad) / sizeMultiplier;
-    texHeight = (1.00 + extraVinculum) / sizeMultiplier;
-    span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraVinculum, 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] + extraVinculum) / sizeMultiplier;
-    spanHeight = (sizeToMaxHeight[delim.size] + extraVinculum + emPad) / sizeMultiplier;
-    span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraVinculum, 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 + extraVinculum + emPad;
-    texHeight = height + extraVinculum;
-    viewBoxHeight = Math.floor(1000 * height + extraVinculum) + vbPad;
-    span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraVinculum, options);
-    span.style.minWidth = "0.742em";
-    advanceWidth = 1.056;
-  }
-
-  span.height = texHeight;
-  span.style.height = makeEm(spanHeight);
-  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 + extraVinculum) * 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 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 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 = 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 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 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.
- */
-
-
-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 makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes);
-};
-
-/* harmony default export */ var delimiter = ({
-  sqrtImage: makeSqrtImage,
-  sizedDelim: makeSizedDelim,
-  sizeToMaxHeight: sizeToMaxHeight,
-  customSizedDelim: 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,
-    argTypes: ["primitive"]
-  },
-  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(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");
-    }
-
-    node.setAttribute("stretchy", "true");
-    var size = makeEm(delimiter.sizeToMaxHeight[group.size]);
-    node.setAttribute("minsize", size);
-    node.setAttribute("maxsize", size);
-    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,
-    primitive: true
-  },
-  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,
-    primitive: true
-  },
-  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 = 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", [makeText(group.left, group.mode)]);
-      leftNode.setAttribute("fence", "true");
-      inner.unshift(leftNode);
-    }
-
-    if (group.right !== ".") {
-      var 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,
-    primitive: true
-  },
-  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 stretch 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 === "|" ? makeText("|", "text") : 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, \phase
-  // Some groups can return document fragments.  Handle those by wrapping
-  // them in a span.
-  var inner = buildCommon.wrapFragment(buildGroup(group.body, options), options);
-  var label = group.label.slice(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 if (label === "phase") {
-    // Set a couple of dimensions from the steinmetz package.
-    var lineWeight = calculateSize({
-      number: 0.6,
-      unit: "pt"
-    }, options);
-    var clearance = calculateSize({
-      number: 0.35,
-      unit: "ex"
-    }, options); // Prevent size changes like \Huge from affecting line thickness
-
-    var newOptions = options.havingBaseSizing();
-    scale = scale / newOptions.sizeMultiplier;
-    var angleHeight = inner.height + inner.depth + lineWeight + clearance; // Reserve a left pad for the angle.
-
-    inner.style.paddingLeft = makeEm(angleHeight / 2 + lineWeight); // Create an SVG
-
-    var viewBoxHeight = Math.floor(1000 * angleHeight * scale);
-    var path = phasePath(viewBoxHeight);
-    var svgNode = new SvgNode([new PathNode("phase", path)], {
-      "width": "400em",
-      "height": makeEm(viewBoxHeight / 1000),
-      "viewBox": "0 0 400000 " + viewBoxHeight,
-      "preserveAspectRatio": "xMinYMin slice"
-    }); // Wrap it in a span with overflow: hidden.
-
-    img = buildCommon.makeSvgSpan(["hide-tail"], [svgNode], options);
-    img.style.height = makeEm(angleHeight);
-    imgShift = inner.depth + lineWeight + clearance;
-  } else {
-    // Add horizontal padding
-    if (/cancel/.test(label)) {
-      if (!isSingleChar) {
-        inner.classes.push("cancel-pad");
-      }
-    } else if (label === "angl") {
-      inner.classes.push("anglpad");
-    } else {
-      inner.classes.push("boxpad");
-    } // Add vertical padding
-
-
-    var topPad = 0;
-    var bottomPad = 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.
-      );
-      topPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
-      bottomPad = topPad;
-    } else if (label === "angl") {
-      ruleThickness = Math.max(options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
-      topPad = 4 * ruleThickness; // gap = 3 × line, plus the line itself.
-
-      bottomPad = Math.max(0, 0.25 - inner.depth);
-    } else {
-      topPad = isSingleChar ? 0.2 : 0;
-      bottomPad = topPad;
-    }
-
-    img = stretchy.encloseSpan(inner, label, topPad, bottomPad, options);
-
-    if (/fbox|boxed|fcolorbox/.test(label)) {
-      img.style.borderStyle = "solid";
-      img.style.borderWidth = makeEm(ruleThickness);
-    } else if (label === "angl" && ruleThickness !== 0.049) {
-      img.style.borderTopWidth = makeEm(ruleThickness);
-      img.style.borderRightWidth = makeEm(ruleThickness);
-    }
-
-    imgShift = inner.depth + bottomPad;
-
-    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 {
-    var classes = /cancel|phase/.test(label) ? ["svg-align"] : [];
-    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: classes
-      }]
-    }, 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 "\\phase":
-      node.setAttribute("notation", "phasorangle");
-      break;
-
-    case "\\sout":
-      node.setAttribute("notation", "horizontalstrike");
-      break;
-
-    case "\\fbox":
-      node.setAttribute("notation", "box");
-      break;
-
-    case "\\angl":
-      node.setAttribute("notation", "actuarial");
-      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,
-    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,
-    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", "\\phase"],
-  props: {
-    numArgs: 1
-  },
-  handler: function handler(_ref4, args) {
-    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
-});
-defineFunction({
-  type: "enclose",
-  names: ["\\angl"],
-  props: {
-    numArgs: 1,
-    argTypes: ["hbox"],
-    allowedInText: false
-  },
-  handler: function handler(_ref5, args) {
-    var parser = _ref5.parser;
-    return {
-      type: "enclose",
-      mode: parser.mode,
-      label: "\\angl",
-      body: args[0]
-    };
-  }
-});
-;// 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,
-    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.
-    _environments[names[i]] = data;
-  }
-
-  if (htmlBuilder) {
-    _htmlGroupBuilders[type] = htmlBuilder;
-  }
-
-  if (mathmlBuilder) {
-    _mathmlGroupBuilders[type] = mathmlBuilder;
-  }
-}
-;// CONCATENATED MODULE: ./src/defineMacro.js
-
-
-/**
- * All registered global/built-in macros.
- * `macros.js` exports this same dictionary again and makes it public.
- * `Parser.js` requires this dictionary via `macros.js`.
- */
-var _macros = {}; // This function might one day accept an additional argument and do more things.
-
-function defineMacro(name, body) {
-  _macros[name] = body;
-}
-;// 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 = /*#__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/environments/array.js
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-// Helper functions
-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;
-
-  if (nxt === "\\relax") {
-    // \relax is an artifact of the \cr macro below
-    parser.consume();
-    parser.consumeSpaces();
-    nxt = parser.fetch().text;
-  }
-
-  while (nxt === "\\hline" || nxt === "\\hdashline") {
-    parser.consume();
-    hlineInfo.push(nxt === "\\hdashline");
-    parser.consumeSpaces();
-    nxt = parser.fetch().text;
-  }
-
-  return hlineInfo;
-}
-
-var validateAmsEnvironmentContext = function validateAmsEnvironmentContext(context) {
-  var settings = context.parser.settings;
-
-  if (!settings.displayMode) {
-    throw new src_ParseError("{" + context.envName + "} can be used only in" + " display mode.");
-  }
-}; // autoTag (an argument to parseArray) can be one of three values:
-// * undefined: Regular (not-top-level) array; no tags on each row
-// * true: Automatic equation numbering, overridable by \tag
-// * false: Tags allowed on each row, but no automatic numbering
-// This function *doesn't* work with the "split" environment name.
-
-
-function getAutoTag(name) {
-  if (name.indexOf("ed") === -1) {
-    return name.indexOf("*") === -1;
-  } // return undefined;
-
-}
-/**
- * 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,
-      autoTag = _ref.autoTag,
-      singleRow = _ref.singleRow,
-      emptySingleRow = _ref.emptySingleRow,
-      maxNumCols = _ref.maxNumCols,
-      leqno = _ref.leqno;
-  parser.gullet.beginGroup();
-
-  if (!singleRow) {
-    // \cr is equivalent to \\ without the optional size argument (see below)
-    // TODO: provide helpful error when \cr is used outside array environment
-    parser.gullet.macros.set("\\cr", "\\\\\\relax");
-  } // 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 = [];
-  var tags = autoTag != null ? [] : undefined; // amsmath uses \global\@eqnswtrue and \global\@eqnswfalse to represent
-  // whether this row should have an equation number.  Simulate this with
-  // a \@eqnsw macro set to 1 or 0.
-
-  function beginRow() {
-    if (autoTag) {
-      parser.gullet.macros.set("\\@eqnsw", "1", true);
-    }
-  }
-
-  function endRow() {
-    if (tags) {
-      if (parser.gullet.macros.get("\\df@tag")) {
-        tags.push(parser.subparse([new Token("\\df@tag")]));
-        parser.gullet.macros.set("\\df@tag", undefined, true);
-      } else {
-        tags.push(Boolean(autoTag) && parser.gullet.macros.get("\\@eqnsw") === "1");
-      }
-    }
-  }
-
-  beginRow(); // 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, singleRow ? "\\end" : "\\\\");
-    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 === "&") {
-      if (maxNumCols && row.length === maxNumCols) {
-        if (singleRow || colSeparationType) {
-          // {equation} or {split}
-          throw new src_ParseError("Too many tab characters: &", parser.nextToken);
-        } else {
-          // {array} environment
-          parser.settings.reportNonstrict("textEnv", "Too few columns " + "specified in the {array} column argument.");
-        }
-      }
-
-      parser.consume();
-    } else if (next === "\\end") {
-      endRow(); // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
-      // the last line is empty.  However, AMS environments keep the
-      // empty row if it's the only one.
-      // NOTE: Currently, `cell` is the last item added into `row`.
-
-      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0 && (body.length > 1 || !emptySingleRow)) {
-        body.pop();
-      }
-
-      if (hLinesBeforeRow.length < body.length + 1) {
-        hLinesBeforeRow.push([]);
-      }
-
-      break;
-    } else if (next === "\\\\") {
-      parser.consume();
-      var size = void 0; // \def\Let@{\let\\\math@cr}
-      // \def\math@cr{...\math@cr@}
-      // \def\math@cr@{\new@ifnextchar[\math@cr@@{\math@cr@@[\z@]}}
-      // \def\math@cr@@[#1]{...\math@cr@@@...}
-      // \def\math@cr@@@{\cr}
-
-      if (parser.gullet.future().text !== " ") {
-        size = parser.parseSizeGroup(true);
-      }
-
-      rowGaps.push(size ? size.value : null);
-      endRow(); // check for \hline(s) following the row separator
-
-      hLinesBeforeRow.push(getHLines(parser));
-      row = [];
-      body.push(row);
-      beginRow();
-    } else {
-      throw new src_ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
-    }
-  } // End cell group
-
-
-  parser.gullet.endGroup(); // End array group defining \cr
-
-  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,
-    tags: tags,
-    leqno: leqno
-  };
-} // 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.slice(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 = group.colSeparationType === "CD" ? calculateSize({
-    number: 3,
-    unit: "ex"
-  }, options) : 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 = 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 = 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;
-  var tagSpans = [];
-
-  if (group.tags && group.tags.some(function (tag) {
-    return tag;
-  })) {
-    // An environment with manual tags and/or automatic equation numbers.
-    // Create node(s), the latter of which trigger CSS counter increment.
-    for (r = 0; r < nr; ++r) {
-      var rw = body[r];
-      var shift = rw.pos - offset;
-      var tag = group.tags[r];
-      var tagSpan = void 0;
-
-      if (tag === true) {
-        // automatic numbering
-        tagSpan = buildCommon.makeSpan(["eqn-num"], [], options);
-      } else if (tag === false) {
-        // \nonumber/\notag or starred environment
-        tagSpan = buildCommon.makeSpan([], [], options);
-      } else {
-        // manual \tag
-        tagSpan = buildCommon.makeSpan([], buildExpression(tag, options, true), options);
-      }
-
-      tagSpan.depth = rw.depth;
-      tagSpan.height = rw.height;
-      tagSpans.push({
-        type: "elem",
-        elem: tagSpan,
-        shift: shift
-      });
-    }
-  }
-
-  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 = makeEm(options.fontMetrics().doubleRuleSep);
-        cols.push(colSep);
-      }
-
-      if (colDescr.separator === "|" || colDescr.separator === ":") {
-        var lineType = colDescr.separator === "|" ? "solid" : "dashed";
-        var separator = buildCommon.makeSpan(["vertical-separator"], [], options);
-        separator.style.height = makeEm(totalHeight);
-        separator.style.borderRightWidth = makeEm(ruleThickness);
-        separator.style.borderRightStyle = lineType;
-        separator.style.margin = "0 " + makeEm(-ruleThickness / 2);
-
-        var _shift = totalHeight - offset;
-
-        if (_shift) {
-          separator.style.verticalAlign = makeEm(-_shift);
-        }
-
-        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 = makeEm(sepwidth);
-        cols.push(colSep);
-      }
-    }
-
-    var col = [];
-
-    for (r = 0; r < nr; ++r) {
-      var row = body[r];
-      var elem = row[c];
-
-      if (!elem) {
-        continue;
-      }
-
-      var _shift2 = row.pos - offset;
-
-      elem.depth = row.depth;
-      elem.height = row.height;
-      col.push({
-        type: "elem",
-        elem: elem,
-        shift: _shift2
-      });
-    }
-
-    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 = makeEm(sepwidth);
-        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);
-  }
-
-  if (tagSpans.length === 0) {
-    return buildCommon.makeSpan(["mord"], [body], options);
-  } else {
-    var eqnNumCol = buildCommon.makeVList({
-      positionType: "individualShift",
-      children: tagSpans
-    }, options);
-    eqnNumCol = buildCommon.makeSpan(["tag"], [eqnNumCol], options);
-    return buildCommon.makeFragment([body, eqnNumCol]);
-  }
-};
-
-var alignMap = {
-  c: "center ",
-  l: "left ",
-  r: "right "
-};
-
-var array_mathmlBuilder = function mathmlBuilder(group, options) {
-  var tbl = [];
-  var glue = new mathMLTree.MathNode("mtd", [], ["mtr-glue"]);
-  var tag = new mathMLTree.MathNode("mtd", [], ["mml-eqn-num"]);
-
-  for (var i = 0; i < group.body.length; i++) {
-    var rw = group.body[i];
-    var row = [];
-
-    for (var j = 0; j < rw.length; j++) {
-      row.push(new mathMLTree.MathNode("mtd", [buildMathML_buildGroup(rw[j], options)]));
-    }
-
-    if (group.tags && group.tags[i]) {
-      row.unshift(glue);
-      row.push(glue);
-
-      if (group.leqno) {
-        row.unshift(tag);
-      } else {
-        row.push(tag);
-      }
-    }
-
-    tbl.push(new mathMLTree.MathNode("mtr", row));
-  }
-
-  var table = new mathMLTree.MathNode("mtable", tbl); // 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 empirically. They produce an array
-  // similar to LaTeX and in which content does not interfere with \hlines.
-
-  var gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
-  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
-  table.setAttribute("rowspacing", makeEm(gap)); // 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 _i2 = 1; _i2 < _cols.length; _i2++) {
-      spacing += _i2 % 2 ? "0em " : "1em ";
-    }
-
-    table.setAttribute("columnspacing", spacing.trim());
-  } else if (group.colSeparationType === "alignat" || group.colSeparationType === "gather") {
-    table.setAttribute("columnspacing", "0em");
-  } else if (group.colSeparationType === "small") {
-    table.setAttribute("columnspacing", "0.2778em");
-  } else if (group.colSeparationType === "CD") {
-    table.setAttribute("columnspacing", "0.5em");
-  } 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 _i3 = 1; _i3 < hlines.length - 1; _i3++) {
-    rowLines += hlines[_i3].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
-    : hlines[_i3][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 align, align*, aligned, alignat, alignat*, alignedat.
-
-
-var alignedHandler = function alignedHandler(context, args) {
-  if (context.envName.indexOf("ed") === -1) {
-    validateAmsEnvironmentContext(context);
-  }
-
-  var cols = [];
-  var separationType = context.envName.indexOf("at") > -1 ? "alignat" : "align";
-  var isSplit = context.envName === "split";
-  var res = parseArray(context.parser, {
-    cols: cols,
-    addJot: true,
-    autoTag: isSplit ? undefined : getAutoTag(context.envName),
-    emptySingleRow: true,
-    colSeparationType: separationType,
-    maxNumCols: isSplit ? 2 : undefined,
-    leqno: context.parser.settings.leqno
-  }, "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 _i4 = 1; _i4 < row.length; _i4 += 2) {
-      // Modify ordgroup node within styling node
-      var styling = assertNodeType(row[_i4], "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 _i5 = 0; _i5 < numCols; ++_i5) {
-    var align = "r";
-    var pregap = 0;
-
-    if (_i5 % 2 === 1) {
-      align = "l";
-    } else if (_i5 > 0 && isAligned) {
-      // "aligned" mode.
-      pregap = 1; // add one \quad
-    }
-
-    cols[_i5] = {
-      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
-      maxNumCols: cols.length
-    };
-    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.
-// The mathtools package adds starred versions of the same environments.
-// These have an optional argument to choose left|center|right justification.
-
-defineEnvironment({
-  type: "array",
-  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix", "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.replace("*", "")]; // \hskip -\arraycolsep in amsmath
-
-    var colAlign = "c";
-    var payload = {
-      hskipBeforeAndAfter: false,
-      cols: [{
-        type: "align",
-        align: colAlign
-      }]
-    };
-
-    if (context.envName.charAt(context.envName.length - 1) === "*") {
-      // It's one of the mathtools starred functions.
-      // Parse the optional alignment argument.
-      var parser = context.parser;
-      parser.consumeSpaces();
-
-      if (parser.fetch().text === "[") {
-        parser.consume();
-        parser.consumeSpaces();
-        colAlign = parser.fetch().text;
-
-        if ("lcr".indexOf(colAlign) === -1) {
-          throw new src_ParseError("Expected l or c or r", parser.nextToken);
-        }
-
-        parser.consume();
-        parser.consumeSpaces();
-        parser.expect("]");
-        parser.consume();
-        payload.cols = [{
-          type: "align",
-          align: colAlign
-        }];
-      }
-    }
-
-    var res = parseArray(context.parser, payload, dCellStyle(context.envName)); // Populate cols with the correct number of column alignment specs.
-
-    var numCols = Math.max.apply(Math, [0].concat(res.body.map(function (row) {
-      return row.length;
-    })));
-    res.cols = new Array(numCols).fill({
-      type: "align",
-      align: colAlign
-    });
-    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
-}); // In the align environment, one uses ampersands, &, to specify number of
-// columns in each row, and to locate spacing between each column.
-// align gets automatic numbering. align* and aligned do not.
-// The alignedat environment can be used in math mode.
-// Note that we assume \nomallineskiplimit to be zero,
-// so that \strut@ is the same as \strut.
-
-defineEnvironment({
-  type: "array",
-  names: ["align", "align*", "aligned", "split"],
-  props: {
-    numArgs: 0
-  },
-  handler: 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", "gather", "gather*"],
-  props: {
-    numArgs: 0
-  },
-  handler: function handler(context) {
-    if (utils.contains(["gather", "gather*"], context.envName)) {
-      validateAmsEnvironmentContext(context);
-    }
-
-    var res = {
-      cols: [{
-        type: "align",
-        align: "c"
-      }],
-      addJot: true,
-      colSeparationType: "gather",
-      autoTag: getAutoTag(context.envName),
-      emptySingleRow: true,
-      leqno: context.parser.settings.leqno
-    };
-    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: ["alignat", "alignat*", "alignedat"],
-  props: {
-    numArgs: 1
-  },
-  handler: alignedHandler,
-  htmlBuilder: array_htmlBuilder,
-  mathmlBuilder: array_mathmlBuilder
-});
-defineEnvironment({
-  type: "array",
-  names: ["equation", "equation*"],
-  props: {
-    numArgs: 0
-  },
-  handler: function handler(context) {
-    validateAmsEnvironmentContext(context);
-    var res = {
-      autoTag: getAutoTag(context.envName),
-      emptySingleRow: true,
-      singleRow: true,
-      maxNumCols: 1,
-      leqno: context.parser.settings.leqno
-    };
-    return parseArray(context.parser, res, "display");
-  },
-  htmlBuilder: array_htmlBuilder,
-  mathmlBuilder: array_mathmlBuilder
-});
-defineEnvironment({
-  type: "array",
-  names: ["CD"],
-  props: {
-    numArgs: 0
-  },
-  handler: function handler(context) {
-    validateAmsEnvironmentContext(context);
-    return parseCD(context.parser);
-  },
-  htmlBuilder: array_htmlBuilder,
-  mathmlBuilder: array_mathmlBuilder
-});
-defineMacro("\\nonumber", "\\gdef\\@eqnsw{0}");
-defineMacro("\\notag", "\\nonumber"); // 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.
-
-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);
-      } // $FlowFixMe, "environment" handler returns an environment ParseNode
-
-
-      return result;
-    }
-
-    return {
-      type: "environment",
-      mode: parser.mode,
-      name: envName,
-      nameGroup: nameGroup
-    };
-  }
-});
-;// 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 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,
-    allowedInArgument: true
-  },
-  handler: function handler(_ref, args) {
-    var parser = _ref.parser,
-        funcName = _ref.funcName;
-    var body = normalizeArgument(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
-  },
-  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 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 = adjustStyle(group.size, options.style);
-  var nstyle = style.fracNum();
-  var dstyle = style.fracDen();
-  var newOptions;
-  newOptions = options.havingStyle(nstyle);
-  var numerm = 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 = buildGroup(group.denom, newOptions, options);
-  var rule;
-  var ruleWidth;
-  var 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
-
-
-  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 if (style.size === src_Style.SCRIPTSCRIPT.size) {
-    delimSize = options.havingStyle(src_Style.SCRIPT).fontMetrics().delim2;
-  } 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 = calculateSize(group.barSize, options);
-    node.setAttribute("linethickness", makeEm(ruleWidth));
-  }
-
-  var style = 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 makeRow(withDelims);
-  }
-
-  return node;
-};
-
-defineFunction({
-  type: "genfrac",
-  names: ["\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
-  "\\\\bracefrac", "\\\\brackfrac" // ditto
-  ],
-  props: {
-    numArgs: 2,
-    allowedInArgument: true
-  },
-  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 "\\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 "\\dfrac":
-      case "\\dbinom":
-        size = "display";
-        break;
-
-      case "\\tfrac":
-      case "\\tbinom":
-        size = "text";
-        break;
-    }
-
-    return {
-      type: "genfrac",
-      mode: parser.mode,
-      continued: false,
-      numer: numer,
-      denom: denom,
-      hasBarLine: hasBarLine,
-      leftDelim: leftDelim,
-      rightDelim: rightDelim,
-      size: size,
-      barSize: null
-    };
-  },
-  htmlBuilder: genfrac_htmlBuilder,
-  mathmlBuilder: genfrac_mathmlBuilder
-});
-defineFunction({
-  type: "genfrac",
-  names: ["\\cfrac"],
-  props: {
-    numArgs: 2
-  },
-  handler: function handler(_ref2, args) {
-    var parser = _ref2.parser,
-        funcName = _ref2.funcName;
-    var numer = args[0];
-    var denom = args[1];
-    return {
-      type: "genfrac",
-      mode: parser.mode,
-      continued: true,
-      numer: numer,
-      denom: denom,
-      hasBarLine: true,
-      leftDelim: null,
-      rightDelim: null,
-      size: "display",
-      barSize: null
-    };
-  }
-}); // 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(_ref3) {
-    var parser = _ref3.parser,
-        funcName = _ref3.funcName,
-        token = _ref3.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,
-    allowedInArgument: true,
-    argTypes: ["math", "math", "size", "text", "math", "math"]
-  },
-  handler: function handler(_ref4, args) {
-    var parser = _ref4.parser;
-    var numer = args[4];
-    var denom = args[5]; // Look into the parse nodes to get the desired delimiters.
-
-    var leftNode = normalizeArgument(args[0]);
-    var leftDelim = leftNode.type === "atom" && leftNode.family === "open" ? delimFromValue(leftNode.text) : null;
-    var rightNode = normalizeArgument(args[1]);
-    var rightDelim = rightNode.type === "atom" && rightNode.family === "close" ? 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 = 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(_ref5, args) {
-    var parser = _ref5.parser,
-        funcName = _ref5.funcName,
-        token = _ref5.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(_ref6, args) {
-    var parser = _ref6.parser,
-        funcName = _ref6.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
-// also "supsub" since an over/underbrace can affect super/subscripting.
-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 ? 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
-
-
-  var body = 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 = 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 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: 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/hbox.js
-
-
-
-
- // \hbox is provided for compatibility with LaTeX \vcenter.
-// In LaTeX, \vcenter can act only on a box, as in
-// \vcenter{\hbox{$\frac{a+b}{\dfrac{c}{d}}$}}
-// This function by itself doesn't do anything but prevent a soft line break.
-
-defineFunction({
-  type: "hbox",
-  names: ["\\hbox"],
-  props: {
-    numArgs: 1,
-    argTypes: ["text"],
-    allowedInText: true,
-    primitive: true
-  },
-  handler: function handler(_ref, args) {
-    var parser = _ref.parser;
-    return {
-      type: "hbox",
-      mode: parser.mode,
-      body: ordargument(args[0])
-    };
-  },
-  htmlBuilder: function htmlBuilder(group, options) {
-    var elements = buildExpression(group.body, options, false);
-    return buildCommon.makeFragment(elements);
-  },
-  mathmlBuilder: function mathmlBuilder(group, options) {
-    return new mathMLTree.MathNode("mrow", buildMathML_buildExpression(group.body, options));
-  }
-});
-;// 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 = 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 = 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 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 = sizeData(str);
-              break;
-
-            case "height":
-              height = sizeData(str);
-              break;
-
-            case "totalheight":
-              totalheight = 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 = calculateSize(group.height, options);
-    var depth = 0;
-
-    if (group.totalheight.number > 0) {
-      depth = calculateSize(group.totalheight, options) - height;
-    }
-
-    var width = 0;
-
-    if (group.width.number > 0) {
-      width = calculateSize(group.width, options);
-    }
-
-    var style = {
-      height: makeEm(height + depth)
-    };
-
-    if (width > 0) {
-      style.width = makeEm(width);
-    }
-
-    if (depth > 0) {
-      style.verticalAlign = makeEm(-depth);
-    }
-
-    var node = new 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 = calculateSize(group.height, options);
-    var depth = 0;
-
-    if (group.totalheight.number > 0) {
-      depth = calculateSize(group.totalheight, options) - height;
-      node.setAttribute("valign", makeEm(-depth));
-    }
-
-    node.setAttribute("height", makeEm(height + depth));
-
-    if (group.width.number > 0) {
-      var width = calculateSize(group.width, options);
-      node.setAttribute("width", makeEm(width));
-    }
-
-    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"],
-    primitive: true,
-    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 = 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([], [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)]);
-    }
-
-    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 = makeEm(node.height + node.depth);
-
-    if (node.depth) {
-      strut.style.verticalAlign = makeEm(-node.depth);
-    }
-
-    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 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,
-    primitive: true
-  },
-  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 = chooseMathStyle(group, options);
-    var elements = buildExpression(body, options, false);
-    return buildCommon.makeFragment(elements);
-  },
-  mathmlBuilder: function mathmlBuilder(group, options) {
-    var body = 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 = function assembleSupSub(base, supGroup, subGroup, options, style, slant, baseShift) {
-  base = buildCommon.makeSpan([], [base]);
-  var subIsSingleCharacter = subGroup && utils.isCharacterBox(subGroup);
-  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 = 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 = 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: makeEm(-slant)
-      }, {
-        type: "kern",
-        size: sub.kern
-      }, {
-        type: "elem",
-        elem: base
-      }, {
-        type: "kern",
-        size: sup.kern
-      }, {
-        type: "elem",
-        elem: sup.elem,
-        marginLeft: makeEm(slant)
-      }, {
-        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: makeEm(-slant)
-      }, {
-        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: makeEm(slant)
-      }, {
-        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;
-  }
-
-  var parts = [finalGroup];
-
-  if (sub && slant !== 0 && !subIsSingleCharacter) {
-    // A negative margin-left was applied to the lower limit.
-    // Avoid an overlap by placing a spacer on the left on the group.
-    var spacer = buildCommon.makeSpan(["mspace"], [], options);
-    spacer.style.marginRight = makeEm(slant);
-    parts.unshift(spacer);
-  }
-
-  return buildCommon.makeSpan(["mop", "op-limits"], parts, 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.slice(1);
-      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);
-      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 = 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"], inner, options);
-    }
-  } else {
-    // Otherwise, this is a text operator. Build the text from the
-    // operator's name.
-    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 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 = makeEm(baseShift);
-    }
-
-    return base;
-  }
-};
-
-var op_mathmlBuilder = function mathmlBuilder(group, options) {
-  var 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", buildMathML_buildExpression(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
-
-    var operator = new MathNode("mo", [makeText("\u2061", "text")]);
-
-    if (group.parentIsSupSub) {
-      node = new MathNode("mrow", [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,
-    primitive: true
-  },
-  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
-// affect super/subscripting.
-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 = buildExpression(body, options.withFont("mathrm"), true);
-
-    for (var i = 0; i < expression.length; i++) {
-      var 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;
-  }
-};
-
-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", [makeText("\u2061", "text")]);
-
-  if (group.parentIsSupSub) {
-    return new mathMLTree.MathNode("mrow", [identifier, operator]);
-  } else {
-    return mathMLTree.newDocumentFragment([identifier, operator]);
-  }
-}; // \operatorname
-// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@
-
-
-defineFunction({
-  type: "operatorname",
-  names: ["\\operatorname@", "\\operatornamewithlimits"],
-  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 === "\\operatornamewithlimits",
-      limits: false,
-      parentIsSupSub: false
-    };
-  },
-  htmlBuilder: operatorname_htmlBuilder,
-  mathmlBuilder: operatorname_mathmlBuilder
-});
-defineMacro("\\operatorname", "\\@ifstar\\operatornamewithlimits\\operatorname@");
-;// CONCATENATED MODULE: ./src/functions/ordgroup.js
-
-
-
-
-defineFunctionBuilders({
-  type: "ordgroup",
-  htmlBuilder: function 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: 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 = 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 = 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([], [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"], [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 = buildGroup(group.body, options);
-    var dy = 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/relax.js
-
-defineFunction({
-  type: "internal",
-  names: ["\\relax"],
-  props: {
-    numArgs: 0,
-    allowedInText: true
-  },
-  handler: function handler(_ref) {
-    var parser = _ref.parser;
-    return {
-      type: "internal",
-      mode: parser.mode
-    };
-  }
-});
-;// 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 = calculateSize(group.width, options);
-    var height = calculateSize(group.height, options);
-    var shift = group.shift ? calculateSize(group.shift, options) : 0; // Style the rule to the right size
-
-    rule.style.borderRightWidth = makeEm(width);
-    rule.style.borderTopWidth = makeEm(height);
-    rule.style.bottom = makeEm(shift); // 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 = calculateSize(group.width, options);
-    var height = calculateSize(group.height, options);
-    var shift = group.shift ? 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", makeEm(width));
-    rule.setAttribute("height", makeEm(height));
-    var wrapper = new mathMLTree.MathNode("mpadded", [rule]);
-
-    if (shift >= 0) {
-      wrapper.setAttribute("height", makeEm(shift));
-    } else {
-      wrapper.setAttribute("height", makeEm(shift));
-      wrapper.setAttribute("depth", makeEm(-shift));
-    }
-
-    wrapper.setAttribute("voffset", makeEm(shift));
-    return wrapper;
-  }
-});
-;// CONCATENATED MODULE: ./src/functions/sizing.js
-
-
-
-
-
-
-function sizingGroup(value, options, baseOptions) {
-  var inner = 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", makeEm(newOptions.sizeMultiplier));
-    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([], [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 = 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 = makeEm(advanceWidth); // 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 = 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,
-    primitive: 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 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) ? 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 = htmlBuilderDelegate(group, options);
-
-    if (builderDelegate) {
-      return builderDelegate(group, options);
-    }
-
-    var valueBase = group.base,
-        valueSup = group.sup,
-        valueSub = group.sub;
-    var base = 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 = 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 = 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 = makeEm(0.5 / metrics.ptPerEm / multiplier);
-    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 SymbolNode || isOiint) {
-        // $FlowFixMe
-        marginLeft = makeEm(-base.italic);
-      }
-    }
-
-    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";
-      }
-    }
-
-    return new mathMLTree.MathNode(nodeType, children);
-  }
-});
-;// 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", [makeText(group.text, group.mode)]);
-
-    if (group.family === "bin") {
-      var 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;
-  }
-});
-;// CONCATENATED MODULE: ./src/functions/symbolsOrd.js
-
-
-
-
-// "mathord" and "textord" ParseNodes created in Parser.js from symbol Groups in
-// src/symbols.js.
-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", [makeText(group.text, group.mode, options)]);
-    var variant = 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 = makeText(group.text, group.mode, options);
-    var variant = getVariant(group, options) || "normal";
-    var node;
-
-    if (group.mode === 'text') {
-      node = new mathMLTree.MathNode("mtext", [text]);
-    } else if (/[0-9]/.test(group.text)) {
-      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 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", [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.
-  }
-});
-;// 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"],
-    allowedInArgument: true,
-    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 = buildExpression(group.body, newOptions, true);
-    return buildCommon.makeSpan(["mord", "text"], 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 = 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/vcenter.js
-
-
-
-
- // \vcenter:  Vertically center the argument group on the math axis.
-
-defineFunction({
-  type: "vcenter",
-  names: ["\\vcenter"],
-  props: {
-    numArgs: 1,
-    argTypes: ["original"],
-    // In LaTeX, \vcenter can act only on a box.
-    allowedInText: false
-  },
-  handler: function handler(_ref, args) {
-    var parser = _ref.parser;
-    return {
-      type: "vcenter",
-      mode: parser.mode,
-      body: args[0]
-    };
-  },
-  htmlBuilder: function htmlBuilder(group, options) {
-    var body = buildGroup(group.body, options);
-    var axisHeight = options.fontMetrics().axisHeight;
-    var dy = 0.5 * (body.height - axisHeight - (body.depth + axisHeight));
-    return buildCommon.makeVList({
-      positionType: "shift",
-      positionData: dy,
-      children: [{
-        type: "elem",
-        elem: body
-      }]
-    }, options);
-  },
-  mathmlBuilder: function mathmlBuilder(group, options) {
-    // There is no way to do this in MathML.
-    // Write a class as a breadcrumb in case some post-processor wants
-    // to perform a vcenter adjustment.
-    return new mathMLTree.MathNode("mpadded", [buildMathML_buildGroup(group.body, options)], ["vcenter"]);
-  }
-});
-;// 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 whitespace characters
- * - matches a backslash followed by one or more letters then whitespace
- * - matches a backslash followed by any BMP character
- * Capturing groups:
- *   [1] regular whitespace
- *   [2] backslash followed by whitespace
- *   [3] anything else, which may include:
- *     [4] left character of \verb*
- *     [5] left character of \verb
- *     [6] backslash followed by word, excluding any trailing whitespace
- * 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 controlSpaceRegexString = "\\\\(\n|[ \r\t]+\n?)[ \r\t]*";
-var combiningDiacriticalMarkString = "[\u0300-\u036F]";
-var combiningDiacriticalMarksEndRegex = new RegExp(combiningDiacriticalMarkString + "+$");
-var tokenRegexString = "(" + spaceRegexString + "+)|" + ( // whitespace
-controlSpaceRegexString + "|") + // \whitespace
-"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + ( // single codepoint
-combiningDiacriticalMarkString + "*") + // ...plus accents
-"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + ( // surrogate pair
-combiningDiacriticalMarkString + "*") + // ...plus accents
-"|\\\\verb\\*([^]).*?\\4" + // \verb*
-"|\\\\verb([^*a-zA-Z]).*?\\5" + ( // \verb unstarred
-"|" + controlWordWhitespaceRegexString) + ( // \macroName + spaces
-"|" + controlSymbolRegexString + ")"); // \\, \', etc.
-
-/** Main Lexer class */
-
-var Lexer = /*#__PURE__*/function () {
-  // Category codes. The lexer only supports comment characters (14) for now.
-  // MacroExpander additionally distinguishes active (13).
-  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
-      "~": 13 // active 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("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(input[pos], new SourceLocation(this, pos, pos + 1)));
-    }
-
-    var text = match[6] || match[3] || (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();
-    }
-
-    return new 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 = /*#__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] == null) {
-          delete this.current[undef];
-        } else {
-          this.current[undef] = undefs[undef];
-        }
-      }
-    }
-  }
-  /**
-   * Ends all currently nested groups (if any), restoring values before the
-   * groups began.  Useful in case of an error in the middle of parsing.
-   */
-  ;
-
-  _proto.endGroups = function endGroups() {
-    while (this.undefStack.length > 0) {
-      this.endGroup();
-    }
-  }
-  /**
-   * 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.
-   * A value of undefined means to delete existing definitions.
-   */
-  ;
-
-  _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];
-      }
-    }
-
-    if (value == null) {
-      delete this.current[name];
-    } else {
-      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.
- */
-// Export global macros object from defineMacro
-
-var macros = _macros;
-/* harmony default export */ var src_macros = (macros);
-
-
-
-
-
- //////////////////////////////////////////////////////////////////////
-// 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 newcommand = function newcommand(context, existsOK, nonexistsOK) {
-  var arg = context.consumeArg().tokens;
-
-  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.consumeArg().tokens;
-
-  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.consumeArg().tokens;
-  } // Final arg is the expansion of the macro
-
-
-  context.macros.set(name, {
-    tokens: arg,
-    numArgs: numArgs
-  });
-  return '';
-};
-
-defineMacro("\\newcommand", function (context) {
-  return newcommand(context, false, true);
-});
-defineMacro("\\renewcommand", function (context) {
-  return newcommand(context, true, false);
-});
-defineMacro("\\providecommand", function (context) {
-  return 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~{\nobreakspace{}}
-// \def\lq{`}
-// \def\rq{'}
-// \def \aa {\r a}
-// \def \AA {\r A}
-
-defineMacro("~", "\\nobreakspace");
-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}}"); // \mathstrut from the TeXbook, p 360
-
-defineMacro("\\mathstrut", "\\vphantom{(}"); // \underbar from TeXbook p 353
-
-defineMacro("\\underbar", "\\underline{\\text{#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\\relax"); // \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.slice(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"); //////////////////////////////////////////////////////////////////////
-// LaTeX source2e
-// \expandafter\let\expandafter\@normalcr
-//     \csname\expandafter\@gobble\string\\ \endcsname
-// \DeclareRobustCommand\newline{\@normalcr\relax}
-
-defineMacro("\\newline", "\\\\\\relax"); // \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 = makeEm(fontMetricsData["Main-Regular"]["T".charCodeAt(0)][1] - 0.7 * fontMetricsData["Main-Regular"]["A".charCodeAt(0)][1]);
-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}"); //////////////////////////////////////////////////////////////////////
-// From amsopn.sty
-
-defineMacro("\\injlim", "\\DOTSB\\operatorname*{inj\\,lim}");
-defineMacro("\\projlim", "\\DOTSB\\operatorname*{proj\\,lim}");
-defineMacro("\\varlimsup", "\\DOTSB\\operatorname*{\\overline{lim}}");
-defineMacro("\\varliminf", "\\DOTSB\\operatorname*{\\underline{lim}}");
-defineMacro("\\varinjlim", "\\DOTSB\\operatorname*{\\underrightarrow{lim}}");
-defineMacro("\\varprojlim", "\\DOTSB\\operatorname*{\\underleftarrow{lim}}"); //////////////////////////////////////////////////////////////////////
-// 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");
-
-var braketHelper = function braketHelper(one) {
-  return function (context) {
-    var left = context.consumeArg().tokens;
-    var middle = context.consumeArg().tokens;
-    var middleDouble = context.consumeArg().tokens;
-    var right = context.consumeArg().tokens;
-    var oldMiddle = context.macros.get("|");
-    var oldMiddleDouble = context.macros.get("\\|");
-    context.macros.beginGroup();
-
-    var midMacro = function midMacro(double) {
-      return function (context) {
-        if (one) {
-          // Only modify the first instance of | or \|
-          context.macros.set("|", oldMiddle);
-
-          if (middleDouble.length) {
-            context.macros.set("\\|", oldMiddleDouble);
-          }
-        }
-
-        var doubled = double;
-
-        if (!double && middleDouble.length) {
-          // Mimic \@ifnextchar
-          var nextToken = context.future();
-
-          if (nextToken.text === "|") {
-            context.popToken();
-            doubled = true;
-          }
-        }
-
-        return {
-          tokens: doubled ? middleDouble : middle,
-          numArgs: 0
-        };
-      };
-    };
-
-    context.macros.set("|", midMacro(false));
-
-    if (middleDouble.length) {
-      context.macros.set("\\|", midMacro(true));
-    }
-
-    var arg = context.consumeArg().tokens;
-    var expanded = context.expandTokens([].concat(right, arg, left));
-    context.macros.endGroup();
-    return {
-      tokens: expanded.reverse(),
-      numArgs: 0
-    };
-  };
-};
-
-defineMacro("\\bra@ket", braketHelper(false));
-defineMacro("\\bra@set", braketHelper(true));
-defineMacro("\\Braket", "\\bra@ket{\\left\\langle}" + "{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}");
-defineMacro("\\Set", "\\bra@set{\\left\\{\\:}" + "{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}");
-defineMacro("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"); // has no support for special || or \|
-//////////////////////////////////////////////////////////////////////
-// actuarialangle.dtx
-
-defineMacro("\\angln", "{\\angl n}"); // 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 = {
-  "^": true,
-  // Parser.js
-  "_": true,
-  // Parser.js
-  "\\limits": true,
-  // Parser.js
-  "\\nolimits": true // Parser.js
-
-};
-
-var 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(src_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(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();
-  }
-  /**
-   * Ends all currently nested groups (if any), restoring values before the
-   * groups began.  Useful in case of an error in the middle of parsing.
-   */
-  ;
-
-  _proto.endGroups = function endGroups() {
-    this.macros.endGroups();
-  }
-  /**
-   * 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);
-  }
-  /**
-   * Find an macro argument without expanding tokens and append the array of
-   * tokens to the token stack. Uses Token as a container for the result.
-   */
-  ;
-
-  _proto.scanArgument = function scanArgument(isOptional) {
-    var start;
-    var end;
-    var tokens;
-
-    if (isOptional) {
-      this.consumeSpaces(); // \@ifnextchar gobbles any space following it
-
-      if (this.future().text !== "[") {
-        return null;
-      }
-
-      start = this.popToken(); // don't include [ in tokens
-
-      var _this$consumeArg = this.consumeArg(["]"]);
-
-      tokens = _this$consumeArg.tokens;
-      end = _this$consumeArg.end;
-    } else {
-      var _this$consumeArg2 = this.consumeArg();
-
-      tokens = _this$consumeArg2.tokens;
-      start = _this$consumeArg2.start;
-      end = _this$consumeArg2.end;
-    } // indicate the end of an argument
-
-
-    this.pushToken(new Token("EOF", end.loc));
-    this.pushTokens(tokens);
-    return start.range(end, "");
-  }
-  /**
-   * 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 an argument from the token stream, and return the resulting array
-   * of tokens and start/end token.
-   */
-  ;
-
-  _proto.consumeArg = function consumeArg(delims) {
-    // The argument for a delimited parameter is the shortest (possibly
-    // empty) sequence of tokens with properly nested {...} groups that is
-    // followed ... by this particular list of non-parameter tokens.
-    // The argument for an undelimited parameter is the next nonblank
-    // token, unless that token is ‘{’, when the argument will be the
-    // entire {...} group that follows.
-    var tokens = [];
-    var isDelimited = delims && delims.length > 0;
-
-    if (!isDelimited) {
-      // 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."
-      this.consumeSpaces();
-    }
-
-    var start = this.future();
-    var tok;
-    var depth = 0;
-    var match = 0;
-
-    do {
-      tok = this.popToken();
-      tokens.push(tok);
-
-      if (tok.text === "{") {
-        ++depth;
-      } else if (tok.text === "}") {
-        --depth;
-
-        if (depth === -1) {
-          throw new src_ParseError("Extra }", tok);
-        }
-      } else if (tok.text === "EOF") {
-        throw new src_ParseError("Unexpected end of input in a macro argument" + ", expected '" + (delims && isDelimited ? delims[match] : "}") + "'", tok);
-      }
-
-      if (delims && isDelimited) {
-        if ((depth === 0 || depth === 1 && delims[match] === "{") && tok.text === delims[match]) {
-          ++match;
-
-          if (match === delims.length) {
-            // don't include delims in tokens
-            tokens.splice(-match, match);
-            break;
-          }
-        } else {
-          match = 0;
-        }
-      }
-    } while (depth !== 0 || isDelimited); // If the argument found ... has the form ‘{<nested tokens>}’,
-    // ... the outermost braces enclosing the argument are removed
-
-
-    if (start.text === "{" && tokens[tokens.length - 1].text === "}") {
-      tokens.pop();
-      tokens.shift();
-    }
-
-    tokens.reverse(); // to fit in with stack order
-
-    return {
-      tokens: tokens,
-      start: start,
-      end: tok
-    };
-  }
-  /**
-   * Consume the specified number of (delimited) arguments from the token
-   * stream and return the resulting array of arguments.
-   */
-  ;
-
-  _proto.consumeArgs = function consumeArgs(numArgs, delimiters) {
-    if (delimiters) {
-      if (delimiters.length !== numArgs + 1) {
-        throw new src_ParseError("The length of delimiters doesn't match the number of args!");
-      }
-
-      var delims = delimiters[0];
-
-      for (var i = 0; i < delims.length; i++) {
-        var tok = this.popToken();
-
-        if (delims[i] !== tok.text) {
-          throw new src_ParseError("Use of the macro doesn't match its definition", tok);
-        }
-      }
-    }
-
-    var args = [];
-
-    for (var _i = 0; _i < numArgs; _i++) {
-      args.push(this.consumeArg(delimiters && delimiters[_i + 1]).tokens);
-    }
-
-    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 the number of such tokens will be
-   * returned.  This number might be zero or positive.
-   *
-   * If not, the return value is `false`, and the next token remains at the
-   * top of the stack.
-   *
-   * In either case, the next token will be on the top of the stack,
-   * or the stack will be empty (in case of empty expansion
-   * and no other tokens).
-   *
-   * Used to implement `expandAfterFuture` and `expandNextToken`.
-   *
-   * 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 false;
-    }
-
-    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;
-    var args = this.consumeArgs(expansion.numArgs, expansion.delimiters);
-
-    if (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.length;
-  }
-  /**
-   * 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 (;;) {
-      if (this.expandOnce() === false) {
-        // fully expanded
-        var token = this.stack.pop(); // the token after \noexpand is interpreted as if its meaning
-        // were ‘\relax’
-
-        if (token.treatAsRelax) {
-          token.text = "\\relax";
-        }
-
-        return token;
-      }
-    } // 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(name)]) : undefined;
-  }
-  /**
-   * Fully expand the given token stream and return the resulting list of
-   * tokens.  Note that the input tokens are in reverse order, but the
-   * output tokens are in forward order.
-   */
-  ;
-
-  _proto.expandTokens = function expandTokens(tokens) {
-    var output = [];
-    var oldStackLength = this.stack.length;
-    this.pushTokens(tokens);
-
-    while (this.stack.length > oldStackLength) {
-      // Expand only expandable tokens
-      if (this.expandOnce(true) === false) {
-        // fully expanded
-        var token = this.stack.pop();
-
-        if (token.treatAsRelax) {
-          // the expansion of \noexpand is the token itself
-          token.noexpand = false;
-          token.treatAsRelax = false;
-        }
-
-        output.push(token);
-      }
-    }
-
-    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;
-    } // If a single character has an associated catcode other than 13
-    // (active character), then don't expand it.
-
-
-    if (name.length === 1) {
-      var catcode = this.lexer.catcodes[name];
-
-      if (catcode != null && catcode !== 13) {
-        return;
-      }
-    }
-
-    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(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 : src_functions.hasOwnProperty(name) && !src_functions[name].primitive;
-  };
-
-  return MacroExpander;
-}();
-
-
-;// CONCATENATED MODULE: ./src/unicodeSupOrSub.js
-// Helpers for Parser.js handling of Unicode (sub|super)script characters.
-var unicodeSubRegEx = /^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/;
-var uSubsAndSups = Object.freeze({
-  '₊': '+',
-  '₋': '-',
-  '₌': '=',
-  '₍': '(',
-  '₎': ')',
-  '₀': '0',
-  '₁': '1',
-  '₂': '2',
-  '₃': '3',
-  '₄': '4',
-  '₅': '5',
-  '₆': '6',
-  '₇': '7',
-  '₈': '8',
-  '₉': '9',
-  "\u2090": 'a',
-  "\u2091": 'e',
-  "\u2095": 'h',
-  "\u1D62": 'i',
-  "\u2C7C": 'j',
-  "\u2096": 'k',
-  "\u2097": 'l',
-  "\u2098": 'm',
-  "\u2099": 'n',
-  "\u2092": 'o',
-  "\u209A": 'p',
-  "\u1D63": 'r',
-  "\u209B": 's',
-  "\u209C": 't',
-  "\u1D64": 'u',
-  "\u1D65": 'v',
-  "\u2093": 'x',
-  "\u1D66": 'β',
-  "\u1D67": 'γ',
-  "\u1D68": 'ρ',
-  "\u1D69": "\u03D5",
-  "\u1D6A": 'χ',
-  '⁺': '+',
-  '⁻': '-',
-  '⁼': '=',
-  '⁽': '(',
-  '⁾': ')',
-  '⁰': '0',
-  '¹': '1',
-  '²': '2',
-  '³': '3',
-  '⁴': '4',
-  '⁵': '5',
-  '⁶': '6',
-  '⁷': '7',
-  '⁸': '8',
-  '⁹': '9',
-  "\u1D2C": 'A',
-  "\u1D2E": 'B',
-  "\u1D30": 'D',
-  "\u1D31": 'E',
-  "\u1D33": 'G',
-  "\u1D34": 'H',
-  "\u1D35": 'I',
-  "\u1D36": 'J',
-  "\u1D37": 'K',
-  "\u1D38": 'L',
-  "\u1D39": 'M',
-  "\u1D3A": 'N',
-  "\u1D3C": 'O',
-  "\u1D3E": 'P',
-  "\u1D3F": 'R',
-  "\u1D40": 'T',
-  "\u1D41": 'U',
-  "\u2C7D": 'V',
-  "\u1D42": 'W',
-  "\u1D43": 'a',
-  "\u1D47": 'b',
-  "\u1D9C": 'c',
-  "\u1D48": 'd',
-  "\u1D49": 'e',
-  "\u1DA0": 'f',
-  "\u1D4D": 'g',
-  "\u02B0": 'h',
-  "\u2071": 'i',
-  "\u02B2": 'j',
-  "\u1D4F": 'k',
-  "\u02E1": 'l',
-  "\u1D50": 'm',
-  "\u207F": 'n',
-  "\u1D52": 'o',
-  "\u1D56": 'p',
-  "\u02B3": 'r',
-  "\u02E2": 's',
-  "\u1D57": 't',
-  "\u1D58": 'u',
-  "\u1D5B": 'v',
-  "\u02B7": 'w',
-  "\u02E3": 'x',
-  "\u02B8": 'y',
-  "\u1DBB": 'z',
-  "\u1D5D": 'β',
-  "\u1D5E": 'γ',
-  "\u1D5F": 'δ',
-  "\u1D60": "\u03D5",
-  "\u1D61": 'χ',
-  "\u1DBF": 'θ'
-});
-;// 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"
-  },
-  "̧": {
-    "text": "\\c"
-  }
-};
-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",
-  "ḉ": "ḉ",
-  "č": "č",
-  "ĉ": "ĉ",
-  "ċ": "ċ",
-  "ç": "ç",
-  "ď": "ď",
-  "ḋ": "ḋ",
-  "ḑ": "ḑ",
-  "é": "é",
-  "è": "è",
-  "ë": "ë",
-  "ẽ": "ẽ",
-  "ē": "ē",
-  "ḗ": "ḗ",
-  "ḕ": "ḕ",
-  "ĕ": "ĕ",
-  "ḝ": "ḝ",
-  "ě": "ě",
-  "ê": "ê",
-  "ế": "ế",
-  "ề": "ề",
-  "ễ": "ễ",
-  "ė": "ė",
-  "ȩ": "ȩ",
-  "ḟ": "ḟ",
-  "ǵ": "ǵ",
-  "ḡ": "ḡ",
-  "ğ": "ğ",
-  "ǧ": "ǧ",
-  "ĝ": "ĝ",
-  "ġ": "ġ",
-  "ģ": "ģ",
-  "ḧ": "ḧ",
-  "ȟ": "ȟ",
-  "ĥ": "ĥ",
-  "ḣ": "ḣ",
-  "ḩ": "ḩ",
-  "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",
-  "ķ": "ķ",
-  "ĺ": "ĺ",
-  "ľ": "ľ",
-  "ļ": "ļ",
-  "ḿ": "ḿ",
-  "ṁ": "ṁ",
-  "ń": "ń",
-  "ǹ": "ǹ",
-  "ñ": "ñ",
-  "ň": "ň",
-  "ṅ": "ṅ",
-  "ņ": "ņ",
-  "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",
-  "ŗ": "ŗ",
-  "ś": "ś",
-  "ṥ": "ṥ",
-  "š": "š",
-  "ṧ": "ṧ",
-  "ŝ": "ŝ",
-  "ṡ": "ṡ",
-  "ş": "ş",
-  "ẗ": "ẗ",
-  "ť": "ť",
-  "ṫ": "ṫ",
-  "ţ": "ţ",
-  "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",
-  "Ḉ": "Ḉ",
-  "Č": "Č",
-  "Ĉ": "Ĉ",
-  "Ċ": "Ċ",
-  "Ç": "Ç",
-  "Ď": "Ď",
-  "Ḋ": "Ḋ",
-  "Ḑ": "Ḑ",
-  "É": "É",
-  "È": "È",
-  "Ë": "Ë",
-  "Ẽ": "Ẽ",
-  "Ē": "Ē",
-  "Ḗ": "Ḗ",
-  "Ḕ": "Ḕ",
-  "Ĕ": "Ĕ",
-  "Ḝ": "Ḝ",
-  "Ě": "Ě",
-  "Ê": "Ê",
-  "Ế": "Ế",
-  "Ề": "Ề",
-  "Ễ": "Ễ",
-  "Ė": "Ė",
-  "Ȩ": "Ȩ",
-  "Ḟ": "Ḟ",
-  "Ǵ": "Ǵ",
-  "Ḡ": "Ḡ",
-  "Ğ": "Ğ",
-  "Ǧ": "Ǧ",
-  "Ĝ": "Ĝ",
-  "Ġ": "Ġ",
-  "Ģ": "Ģ",
-  "Ḧ": "Ḧ",
-  "Ȟ": "Ȟ",
-  "Ĥ": "Ĥ",
-  "Ḣ": "Ḣ",
-  "Ḩ": "Ḩ",
-  "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",
-  "Ķ": "Ķ",
-  "Ĺ": "Ĺ",
-  "Ľ": "Ľ",
-  "Ļ": "Ļ",
-  "Ḿ": "Ḿ",
-  "Ṁ": "Ṁ",
-  "Ń": "Ń",
-  "Ǹ": "Ǹ",
-  "Ñ": "Ñ",
-  "Ň": "Ň",
-  "Ṅ": "Ṅ",
-  "Ņ": "Ņ",
-  "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",
-  "Ŗ": "Ŗ",
-  "Ś": "Ś",
-  "Ṥ": "Ṥ",
-  "Š": "Š",
-  "Ṧ": "Ṧ",
-  "Ŝ": "Ŝ",
-  "Ṡ": "Ṡ",
-  "Ş": "Ş",
-  "Ť": "Ť",
-  "Ṫ": "Ṫ",
-  "Ţ": "Ţ",
-  "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 = /*#__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(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 {
-      // 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; // Close any leftover groups in case of a parse error.
-    } finally {
-      this.gullet.endGroups();
-    }
-  }
-  /**
-   * Fully parse a separate sequence of tokens as a separate job.
-   * Tokens should be specified in reverse order, as in a MacroDefinition.
-   */
-  ;
-
-  _proto.subparse = function subparse(tokens) {
-    // Save the next token from the current job.
-    var oldToken = this.nextToken;
-    this.consume(); // Run the new job, terminating it with an excess '}'
-
-    this.gullet.pushToken(new Token("}"));
-    this.gullet.pushTokens(tokens);
-    var parse = this.parseExpression(false);
-    this.expect("}"); // Restore the next token from the current job.
-
-    this.nextToken = oldToken;
-    return parse;
-  };
-
-  /**
-   * 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 precedence 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.
-   */
-  _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;
-    }
-  }
-  /**
-   * Handle a subscript or superscript with nice errors.
-   */
-  ;
-
-  _proto.handleSupSubscript = function handleSupSubscript(name // For error reporting.
-  ) {
-    var symbolToken = this.fetch();
-    var symbol = symbolToken.text;
-    this.consume();
-    this.consumeSpaces(); // ignore spaces before sup/subscript argument
-
-    var group = this.parseGroup(name);
-
-    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", 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") {
-          if (base.alwaysHandleSupSub) {
-            base.limits = lex.text === "\\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 (uSubsAndSups[lex.text]) {
-        // A Unicode subscript or superscript character.
-        // We treat these similarly to the unicode-math package.
-        // So we render a string of Unicode (sub|super)scripts the
-        // same as a (sub|super)script of regular characters.
-        var str = uSubsAndSups[lex.text];
-        var isSub = unicodeSubRegEx.test(lex.text);
-        this.consume(); // Continue fetching tokens to fill out the string.
-
-        while (true) {
-          var token = this.fetch().text;
-
-          if (!uSubsAndSups[token]) {
-            break;
-          }
-
-          if (unicodeSubRegEx.test(token) !== isSub) {
-            break;
-          }
-
-          this.consume();
-          str += uSubsAndSups[token];
-        } // Now create a (sub|super)script.
-
-
-        var body = new Parser(str, this.settings).parse();
-
-        if (isSub) {
-          subscript = {
-            type: "ordgroup",
-            mode: "math",
-            body: body
-          };
-        } else {
-          superscript = {
-            type: "ordgroup",
-            mode: "math",
-            body: body
-          };
-        }
-      } 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 determining its context
-  ) {
-    var token = this.fetch();
-    var func = token.text;
-    var funcData = src_functions[func];
-
-    if (!funcData) {
-      return null;
-    }
-
-    this.consume(); // consume command token
-
-    if (name && name !== "atom" && !funcData.allowedInArgument) {
-      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 args = [];
-    var optArgs = [];
-
-    for (var i = 0; i < totalArgs; i++) {
-      var argType = funcData.argTypes && funcData.argTypes[i];
-      var isOptional = i < funcData.numOptionalArgs;
-
-      if (funcData.primitive && argType == null || // \sqrt expands into primitive if optional argument doesn't exist
-      funcData.type === "sqrt" && i === 1 && optArgs[0] == null) {
-        argType = "primitive";
-      }
-
-      var arg = this.parseGroupOfType("argument to '" + func + "'", argType, isOptional);
-
-      if (isOptional) {
-        optArgs.push(arg);
-      } else if (arg != null) {
-        args.push(arg);
-      } else {
-        // should be unreachable
-        throw new src_ParseError("Null argument, please report this as a bug");
-      }
-    }
-
-    return {
-      args: args,
-      optArgs: optArgs
-    };
-  }
-  /**
-   * Parses a group when the mode is changing.
-   */
-  ;
-
-  _proto.parseGroupOfType = function parseGroupOfType(name, type, optional) {
-    switch (type) {
-      case "color":
-        return this.parseColorGroup(optional);
-
-      case "size":
-        return this.parseSizeGroup(optional);
-
-      case "url":
-        return this.parseUrlGroup(optional);
-
-      case "math":
-      case "text":
-        return this.parseArgumentGroup(optional, type);
-
-      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.parseArgumentGroup(optional, "text");
-          return group != null ? {
-            type: "styling",
-            mode: group.mode,
-            body: [group],
-            style: "text" // simulate \textstyle
-
-          } : null;
-        }
-
-      case "raw":
-        {
-          var token = this.parseStringGroup("raw", optional);
-          return token != null ? {
-            type: "raw",
-            mode: "text",
-            string: token.text
-          } : null;
-        }
-
-      case "primitive":
-        {
-          if (optional) {
-            throw new src_ParseError("A primitive argument cannot be optional");
-          }
-
-          var _group = this.parseGroup(name);
-
-          if (_group == null) {
-            throw new src_ParseError("Expected group as " + name, this.fetch());
-          }
-
-          return _group;
-        }
-
-      case "original":
-      case null:
-      case undefined:
-        return this.parseArgumentGroup(optional);
-
-      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) {
-    var argToken = this.gullet.scanArgument(optional);
-
-    if (argToken == null) {
-      return null;
-    }
-
-    var str = "";
-    var nextToken;
-
-    while ((nextToken = this.fetch()).text !== "EOF") {
-      str += nextToken.text;
-      this.consume();
-    }
-
-    this.consume(); // consume the end of the argument
-
-    argToken.text = str;
-    return argToken;
-  }
-  /**
-   * 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 // Used to describe the mode in error messages.
-  ) {
-    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);
-    }
-
-    return firstToken.range(lastToken, str);
-  }
-  /**
-   * Parses a color description.
-   */
-  ;
-
-  _proto.parseColorGroup = function parseColorGroup(optional) {
-    var res = this.parseStringGroup("color", optional);
-
-    if (res == null) {
-      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}$/i.test(color)) {
-      // We allow a 6-digit HTML color spec without a leading "#".
-      // This follows the xcolor package's HTML color model.
-      // Predefined color names are all missed by this RegEx pattern.
-      color = "#" + color;
-    }
-
-    return {
-      type: "color-token",
-      mode: this.mode,
-      color: color
-    };
-  }
-  /**
-   * Parses a size specification, consisting of magnitude and unit.
-   */
-  ;
-
-  _proto.parseSizeGroup = function parseSizeGroup(optional) {
-    var res;
-    var isBlank = false; // don't expand before parseStringGroup
-
-    this.gullet.consumeSpaces();
-
-    if (!optional && this.gullet.future().text !== "{") {
-      res = this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size");
-    } else {
-      res = this.parseStringGroup("size", optional);
-    }
-
-    if (!res) {
-      return null;
-    }
-
-    if (!optional && res.text.length === 0) {
-      // Because we've tested for what is !optional, this block won't
-      // affect \kern, \hspace, etc. It will capture the mandatory arguments
-      // to \genfrac and \above.
-      res.text = "0pt"; // Enable \above{}
-
-      isBlank = true; // This is here specifically for \genfrac
-    }
-
-    var match = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(res.text);
-
-    if (!match) {
-      throw new src_ParseError("Invalid size: '" + res.text + "'", res);
-    }
-
-    var data = {
-      number: +(match[1] + match[2]),
-      // sign + magnitude, cast to number
-      unit: match[3]
-    };
-
-    if (!validUnit(data)) {
-      throw new src_ParseError("Invalid unit: '" + data.unit + "'", res);
-    }
-
-    return {
-      type: "size",
-      mode: this.mode,
-      value: data,
-      isBlank: isBlank
-    };
-  }
-  /**
-   * Parses an URL, checking escaped letters and allowed protocols,
-   * and setting the catcode of % as an active character (as in \hyperref).
-   */
-  ;
-
-  _proto.parseUrlGroup = function parseUrlGroup(optional) {
-    this.gullet.lexer.setCatcode("%", 13); // active character
-
-    this.gullet.lexer.setCatcode("~", 12); // other character
-
-    var res = this.parseStringGroup("url", optional);
-    this.gullet.lexer.setCatcode("%", 14); // comment character
-
-    this.gullet.lexer.setCatcode("~", 13); // active character
-
-    if (res == null) {
-      return null;
-    } // hyperref package allows backslashes alone in href, but doesn't
-    // generate valid links in such cases; we interpret this as
-    // "undefined" behaviour, and keep them as-is. Some browser will
-    // replace backslashes with forward slashes.
-
-
-    var url = res.text.replace(/\\([#$%&~_^{}])/g, '$1');
-    return {
-      type: "url",
-      mode: this.mode,
-      url: url
-    };
-  }
-  /**
-   * Parses an argument with the mode specified.
-   */
-  ;
-
-  _proto.parseArgumentGroup = function parseArgumentGroup(optional, mode) {
-    var argToken = this.gullet.scanArgument(optional);
-
-    if (argToken == null) {
-      return null;
-    }
-
-    var outerMode = this.mode;
-
-    if (mode) {
-      // Switch to specified mode
-      this.switchMode(mode);
-    }
-
-    this.gullet.beginGroup();
-    var expression = this.parseExpression(false, "EOF"); // TODO: find an alternative way to denote the end
-
-    this.expect("EOF"); // expect the end of the argument
-
-    this.gullet.endGroup();
-    var result = {
-      type: "ordgroup",
-      mode: this.mode,
-      loc: argToken.loc,
-      body: expression
-    };
-
-    if (mode) {
-      // Switch mode back
-      this.switchMode(outerMode);
-    }
-
-    return result;
-  }
-  /**
-   * 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.
-   */
-  ;
-
-  _proto.parseGroup = function parseGroup(name, // For error reporting.
-  breakOnTokenText) {
-    var firstToken = this.fetch();
-    var text = firstToken.text;
-    var result; // Try to parse an open brace or \begingroup
-
-    if (text === "{" || text === "\\begingroup") {
-      this.consume();
-      var groupEnd = text === "{" ? "}" : "\\endgroup";
-      this.gullet.beginGroup(); // If we get a brace, parse an expression
-
-      var expression = this.parseExpression(false, groupEnd);
-      var lastToken = this.fetch();
-      this.expect(groupEnd); // Check that we got a matching closing brace
-
-      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 there exists a function with this name, parse the function.
-      // Otherwise, just return a nucleus
-      result = this.parseFunction(breakOnTokenText, name) || 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();
-      }
-    }
-
-    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.slice(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
-        };
-      } // $FlowFixMe
-
-
-      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] || unicodeAccents[accent].text;
-
-        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,
-          // $FlowFixMe
-          base: symbol
-        };
-      }
-    } // $FlowFixMe
-
-
-    return symbol;
-  };
-
-  return Parser;
-}();
-
-Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
-
-;// 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 = 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(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors
-
-  delete parser.gullet.macros.current["\\df@tag"];
-  var tree = parser.parse(); // Prevent a color definition from persisting between calls to katex.render().
-
-  delete parser.gullet.macros.current["\\current@color"];
-  delete parser.gullet.macros.current["\\color"]; // 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");
-    }
-
-    tree = [{
-      type: "tag",
-      mode: "text",
-      body: tree,
-      tag: parser.subparse([new Token("\\df@tag")])
-    }];
-  }
-
-  return tree;
-};
-
-/* harmony default export */ var src_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 render = function render(expression, baseNode, options) {
-  baseNode.textContent = "";
-  var 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 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 = renderToDomTree(expression, options).toMarkup();
-  return markup;
-};
-/**
- * Parse an expression and return the parse tree.
- */
-
-
-var generateParseTree = function generateParseTree(expression, options) {
-  var settings = new 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 renderError = function renderError(error, expression, options) {
-  if (options.throwOnError || !(error instanceof src_ParseError)) {
-    throw error;
-  }
-
-  var 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).
- */
-
-
-var renderToDomTree = function renderToDomTree(expression, options) {
-  var settings = new Settings(options);
-
-  try {
-    var tree = src_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).
- */
-
-
-var renderToHTMLTree = function renderToHTMLTree(expression, options) {
-  var settings = new Settings(options);
-
-  try {
-    var tree = src_parseTree(expression, settings);
-    return buildHTMLTree(tree, expression, settings);
-  } catch (error) {
-    return renderError(error, expression, settings);
-  }
-};
-
-/* harmony default export */ var katex = ({
-  /**
-   * Current KaTeX version
-   */
-  version: "0.16.7",
-
-  /**
-   * Renders the given LaTeX into an HTML+MathML combination, and adds
-   * it as a child to the specified DOM node.
-   */
-  render: 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,
-
-  /**
-   * The shema of Settings
-   */
-  SETTINGS_SCHEMA: SETTINGS_SCHEMA,
-
-  /**
-   * 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 function to builtin function list,
-   * which directly produce parse tree elements
-   * and have their own html/mathml builders
-   */
-  __defineFunction: defineFunction,
-
-  /**
-   * 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: Span,
-    Anchor: Anchor,
-    SymbolNode: SymbolNode,
-    SvgNode: SvgNode,
-    PathNode: 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 = (katex);
-__webpack_exports__ = __webpack_exports__["default"];
-/******/ 	return __webpack_exports__;
-/******/ })()
-;
-});
\ No newline at end of file
diff --git a/assets/katex/katex.min.css b/assets/katex/katex.min.css
deleted file mode 100644
index 7b8b733..0000000
--- a/assets/katex/katex.min.css
+++ /dev/null
@@ -1 +0,0 @@
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n("Double subscript",o);a=this.handleSupSubscript("subscript")}else if("'"===o.text){if(r)throw new n("Double superscript",o);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")),r={type:"ordgroup",mode:this.mode,body:h}}else{if(!$n[o.text])break;var c=$n[o.text],m=jn.test(o.text);for(this.consume();;){var u=this.fetch().text;if(!$n[u])break;if(jn.test(u)!==m)break;this.consume(),c+=$n[u]}var p=new e(c,this.settings).parse();m?a={type:"ordgroup",mode:"math",body:p}:r={type:"ordgroup",mode:"math",body:p}}}return r||a?{type:"supsub",mode:this.mode,base:i,sup:r,sub:a}:i},t.parseFunction=function(e,t){var r=this.fetch(),a=r.text,i=qn[a];if(!i)return null;if(this.consume(),t&&"atom"!==t&&!i.allowedInArgument)throw new n("Got function '"+a+"' with no arguments"+(t?" as "+t:""),r);if("text"===this.mode&&!i.allowedInText)throw new n("Can't use 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this.parseUrlGroup(r);case"math":case"text":return this.parseArgumentGroup(r,t);case"hbox":var a=this.parseArgumentGroup(r,"text");return null!=a?{type:"styling",mode:a.mode,body:[a],style:"text"}:null;case"raw":var i=this.parseStringGroup("raw",r);return null!=i?{type:"raw",mode:"text",string:i.text}:null;case"primitive":if(r)throw new n("A primitive argument cannot be optional");var o=this.parseGroup(e);if(null==o)throw new n("Expected group as "+e,this.fetch());return o;case"original":case null:case void 0:return this.parseArgumentGroup(r);default:throw new n("Unknown group type as "+e,this.fetch())}},t.consumeSpaces=function(){for(;" "===this.fetch().text;)this.consume()},t.parseStringGroup=function(e,t){var r=this.gullet.scanArgument(t);if(null==r)return null;for(var n,a="";"EOF"!==(n=this.fetch()).text;)a+=n.text,this.consume();return this.consume(),r.text=a,r},t.parseRegexGroup=function(e,t){for(var r,a=this.fetch(),i=a,o="";"EOF"!==(r=this.fetch()).text&&e.test(o+r.text);)o+=(i=r).text,this.consume();if(""===o)throw new n("Invalid "+t+": '"+a.text+"'",a);return a.range(i,o)},t.parseColorGroup=function(e){var t=this.parseStringGroup("color",e);if(null==t)return null;var r=/^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text);if(!r)throw new n("Invalid color: '"+t.text+"'",t);var a=r[0];return/^[0-9a-f]{6}$/i.test(a)&&(a="#"+a),{type:"color-token",mode:this.mode,color:a}},t.parseSizeGroup=function(e){var t,r=!1;if(this.gullet.consumeSpaces(),!(t=e||"{"===this.gullet.future().text?this.parseStringGroup("size",e):this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/,"size")))return null;e||0!==t.text.length||(t.text="0pt",r=!0);var a=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!a)throw new n("Invalid size: '"+t.text+"'",t);var i={number:+(a[1]+a[2]),unit:a[3]};if(!V(i))throw new n("Invalid unit: '"+i.unit+"'",t);return{type:"size",mode:this.mode,value:i,isBlank:r}},t.parseUrlGroup=function(e){this.gullet.lexer.setCatcode("%",13),this.gullet.lexer.setCatcode("~",12);var t=this.parseStringGroup("url",e);if(this.gullet.lexer.setCatcode("%",14),this.gullet.lexer.setCatcode("~",13),null==t)return null;var r=t.text.replace(/\\([#$%&~_^{}])/g,"$1");return{type:"url",mode:this.mode,url:r}},t.parseArgumentGroup=function(e,t){var r=this.gullet.scanArgument(e);if(null==r)return null;var n=this.mode;t&&this.switchMode(t),this.gullet.beginGroup();var a=this.parseExpression(!1,"EOF");this.expect("EOF"),this.gullet.endGroup();var i={type:"ordgroup",mode:this.mode,loc:r.loc,body:a};return t&&this.switchMode(n),i},t.parseGroup=function(e,t){var r,a=this.fetch(),i=a.text;if("{"===i||"\\begingroup"===i){this.consume();var o="{"===i?"}":"\\endgroup";this.gullet.beginGroup();var s=this.parseExpression(!1,o),l=this.fetch();this.expect(o),this.gullet.endGroup(),r={type:"ordgroup",mode:this.mode,loc:Fr.range(a,l),body:s,semisimple:"\\begingroup"===i||void 0}}else if(null==(r=this.parseFunction(t,e)||this.parseSymbol())&&"\\"===i[0]&&!Wn.hasOwnProperty(i)){if(this.settings.throwOnError)throw new n("Undefined control sequence: "+i,a);r=this.formatUnsupportedCmd(i),this.consume()}return r},t.formLigatures=function(e){for(var t=e.length-1,r=0;r<t;++r){var n=e[r],a=n.text;"-"===a&&"-"===e[r+1].text&&(r+1<t&&"-"===e[r+2].text?(e.splice(r,3,{type:"textord",mode:"text",loc:Fr.range(n,e[r+2]),text:"---"}),t-=2):(e.splice(r,2,{type:"textord",mode:"text",loc:Fr.range(n,e[r+1]),text:"--"}),t-=1)),"'"!==a&&"`"!==a||e[r+1].text!==a||(e.splice(r,2,{type:"textord",mode:"text",loc:Fr.range(n,e[r+1]),text:a+a}),t-=1)}},t.parseSymbol=function(){var e=this.fetch(),t=e.text;if(/^\\verb[^a-zA-Z]/.test(t)){this.consume();var r=t.slice(5),a="*"===r.charAt(0);if(a&&(r=r.slice(1)),r.length<2||r.charAt(0)!==r.slice(-1))throw new n("\\verb assertion failed --\n                    please report what input caused this bug");return{type:"verb",mode:"text",body:r=r.slice(1,-1),star:a}}Kn.hasOwnProperty(t[0])&&!ae[this.mode][t[0]]&&(this.settings.strict&&"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Accented Unicode text character "'+t[0]+'" used in math mode',e),t=Kn[t[0]]+t.slice(1));var i,o=On.exec(t);if(o&&("i"===(t=t.substring(0,o.index))?t="\u0131":"j"===t&&(t="\u0237")),ae[this.mode][t]){this.settings.strict&&"math"===this.mode&&Ee.indexOf(t)>=0&&this.settings.reportNonstrict("unicodeTextInMathMode",'Latin-1/Unicode text character "'+t[0]+'" used in math mode',e);var s,l=ae[this.mode][t].group,h=Fr.range(e);if(te.hasOwnProperty(l)){var c=l;s={type:"atom",mode:this.mode,family:c,loc:h,text:t}}else s={type:l,mode:this.mode,loc:h,text:t};i=s}else{if(!(t.charCodeAt(0)>=128))return null;this.settings.strict&&(S(t.charCodeAt(0))?"math"===this.mode&&this.settings.reportNonstrict("unicodeTextInMathMode",'Unicode text character "'+t[0]+'" used in math mode',e):this.settings.reportNonstrict("unknownSymbol",'Unrecognized Unicode character "'+t[0]+'" ('+t.charCodeAt(0)+")",e)),i={type:"textord",mode:"text",loc:Fr.range(e),text:t}}if(this.consume(),o)for(var m=0;m<o[0].length;m++){var u=o[0][m];if(!Zn[u])throw new n("Unknown accent ' "+u+"'",e);var p=Zn[u][this.mode]||Zn[u].text;if(!p)throw new n("Accent "+u+" unsupported in "+this.mode+" mode",e);i={type:"accent",mode:this.mode,loc:Fr.range(e),label:p,isStretchy:!1,isShifty:!0,base:i}}return i},e}();Jn.endOfExpression=["}","\\endgroup","\\end","\\right","&"];var Qn=function(e,t){if(!("string"==typeof e||e instanceof String))throw new TypeError("KaTeX can only parse string typed expression");var r=new Jn(e,t);delete r.gullet.macros.current["\\df@tag"];var a=r.parse();if(delete r.gullet.macros.current["\\current@color"],delete r.gullet.macros.current["\\color"],r.gullet.macros.get("\\df@tag")){if(!t.displayMode)throw new n("\\tag works only in display equations");a=[{type:"tag",mode:"text",body:a,tag:r.subparse([new Gr("\\df@tag")])}]}return a},ea=function(e,t,r){t.textContent="";var n=ra(e,r).toNode();t.appendChild(n)};"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."),ea=function(){throw new n("KaTeX doesn't work in quirks mode.")});var ta=function(e,t,r){if(r.throwOnError||!(e instanceof n))throw e;var a=Ke.makeSpan(["katex-error"],[new Z(t)]);return a.setAttribute("title",e.toString()),a.setAttribute("style","color:"+r.errorColor),a},ra=function(e,t){var r=new m(t);try{var n=Qn(e,r);return Lt(n,e,r)}catch(t){return ta(t,e,r)}},na={version:"0.16.7",render:ea,renderToString:function(e,t){return ra(e,t).toMarkup()},ParseError:n,SETTINGS_SCHEMA:h,__parse:function(e,t){var r=new m(t);return Qn(e,r)},__renderToDomTree:ra,__renderToHTMLTree:function(e,t){var r=new m(t);try{return function(e,t,r){var n=St(e,Ot(r)),a=Ke.makeSpan(["katex"],[n]);return Et(a,r)}(Qn(e,r),0,r)}catch(t){return ta(t,e,r)}},__setFontMetrics:function(e,t){T[e]=t},__defineSymbol:ie,__defineFunction:ot,__defineMacro:Pr,__domTree:{Span:W,Anchor:_,SymbolNode:Z,SvgNode:K,PathNode:J,LineNode:Q}};return t=t.default}()}));
\ No newline at end of file
diff --git a/assets/katex/katex.mjs b/assets/katex/katex.mjs
deleted file mode 100644
index df4c0bd..0000000
--- a/assets/katex/katex.mjs
+++ /dev/null
@@ -1,18394 +0,0 @@
-/**
- * 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;
-    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;
-
-/**
- * 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 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.
- */
-
-
-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 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";
-};
-var utils = {
-  contains,
-  deflt,
-  escape,
-  hyphenate,
-  getBaseElem,
-  isCharacterBox,
-  protocolFromUrl
-};
-
-/* eslint no-console:0 */
-// TODO: automatically generate documentation
-// TODO: check all properties on Settings exist
-// TODO: check the type of a property on Settings matches
-var SETTINGS_SCHEMA = {
-  displayMode: {
-    type: "boolean",
-    description: "Render math in display mode, which puts the math in " + "display style (so \\int and \\sum are large, for example), and " + "centers the math on the page on its own line.",
-    cli: "-d, --display-mode"
-  },
-  output: {
-    type: {
-      enum: ["htmlAndMathml", "html", "mathml"]
-    },
-    description: "Determines the markup language of the output.",
-    cli: "-F, --format <type>"
-  },
-  leqno: {
-    type: "boolean",
-    description: "Render display math in leqno style (left-justified tags)."
-  },
-  fleqn: {
-    type: "boolean",
-    description: "Render display math flush left."
-  },
-  throwOnError: {
-    type: "boolean",
-    default: true,
-    cli: "-t, --no-throw-on-error",
-    cliDescription: "Render errors (in the color given by --error-color) ins" + "tead of throwing a ParseError exception when encountering an error."
-  },
-  errorColor: {
-    type: "string",
-    default: "#cc0000",
-    cli: "-c, --error-color <color>",
-    cliDescription: "A color string given in the format 'rgb' or 'rrggbb' " + "(no #). This option determines the color of errors rendered by the " + "-t option.",
-    cliProcessor: color => "#" + color
-  },
-  macros: {
-    type: "object",
-    cli: "-m, --macro <def>",
-    cliDescription: "Define custom macro of the form '\\foo:expansion' (use " + "multiple -m arguments for multiple macros).",
-    cliDefault: [],
-    cliProcessor: (def, defs) => {
-      defs.push(def);
-      return defs;
-    }
-  },
-  minRuleThickness: {
-    type: "number",
-    description: "Specifies a minimum thickness, in ems, for fraction lines," + " `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, " + "`\\hdashline`, `\\underline`, `\\overline`, and the borders of " + "`\\fbox`, `\\boxed`, and `\\fcolorbox`.",
-    processor: t => Math.max(0, t),
-    cli: "--min-rule-thickness <size>",
-    cliProcessor: parseFloat
-  },
-  colorIsTextColor: {
-    type: "boolean",
-    description: "Makes \\color behave like LaTeX's 2-argument \\textcolor, " + "instead of LaTeX's one-argument \\color mode change.",
-    cli: "-b, --color-is-text-color"
-  },
-  strict: {
-    type: [{
-      enum: ["warn", "ignore", "error"]
-    }, "boolean", "function"],
-    description: "Turn on strict / LaTeX faithfulness mode, which throws an " + "error if the input uses features that are not supported by LaTeX.",
-    cli: "-S, --strict",
-    cliDefault: false
-  },
-  trust: {
-    type: ["boolean", "function"],
-    description: "Trust the input, enabling all HTML features such as \\url.",
-    cli: "-T, --trust"
-  },
-  maxSize: {
-    type: "number",
-    default: Infinity,
-    description: "If non-zero, all user-specified sizes, e.g. in " + "\\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, " + "elements and spaces can be arbitrarily large",
-    processor: s => Math.max(0, s),
-    cli: "-s, --max-size <n>",
-    cliProcessor: parseInt
-  },
-  maxExpand: {
-    type: "number",
-    default: 1000,
-    description: "Limit the number of macro expansions to the specified " + "number, to prevent e.g. infinite macro loops. If set to Infinity, " + "the macro expander will try to fully expand as in LaTeX.",
-    processor: n => Math.max(0, n),
-    cli: "-e, --max-expand <n>",
-    cliProcessor: n => n === "Infinity" ? Infinity : parseInt(n)
-  },
-  globalGroup: {
-    type: "boolean",
-    cli: false
-  }
-};
-
-function getDefaultValue(schema) {
-  if (schema.default) {
-    return schema.default;
-  }
-
-  var type = schema.type;
-  var defaultType = Array.isArray(type) ? type[0] : type;
-
-  if (typeof defaultType !== 'string') {
-    return defaultType.enum[0];
-  }
-
-  switch (defaultType) {
-    case 'boolean':
-      return false;
-
-    case 'string':
-      return '';
-
-    case 'number':
-      return 0;
-
-    case 'object':
-      return {};
-  }
-}
-/**
- * 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 || {};
-
-    for (var prop in SETTINGS_SCHEMA) {
-      if (SETTINGS_SCHEMA.hasOwnProperty(prop)) {
-        // $FlowFixMe
-        var schema = SETTINGS_SCHEMA[prop]; // TODO: validate options
-        // $FlowFixMe
-
-        this[prop] = options[prop] !== undefined ? schema.processor ? schema.processor(options[prop]) : options[prop] : getDefaultValue(schema);
-      }
-    }
-  }
-  /**
-   * Report nonstrict (non-LaTeX-compatible) input.
-   * Can safely not be called if `this.strict` is false in JavaScript.
-   */
-
-
-  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 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) {
-    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).
-   */
-
-
-  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);
-  }
-
-}
-
-/**
- * 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$1[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
-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 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$1 = [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.
- */
-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] // Combining Diacritical marks
-  ]
-}, {
-  // 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]]
-}, {
-  // Armenian
-  name: 'armenian',
-  blocks: [[0x0530, 0x058F]]
-}, {
-  // 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] // Fullwidth punctuation
-  // TODO: add halfwidth Katakana and Romanji glyphs
-  ]
-}, {
-  // 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(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 (var 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.
-var hLinePad = 80; // padding above a sqrt vinculum. Prevents image cropping.
-// The vinculum of a \sqrt can be made thicker by a KaTeX rendering option.
-// Think of variable extraVinculum as two detours in the SVG path.
-// The detour begins at the lower left of the area labeled extraVinculum below.
-// The detour proceeds one extraVinculum distance up and slightly to the right,
-// displacing the radiused corner between surd and vinculum. The radius is
-// traversed as usual, then the detour resumes. It goes right, to the end of
-// the very long vinculum, then down one extraVinculum distance,
-// after which it resumes regular path geometry for the radical.
-
-/*                                                  vinculum
-                                                   /
-         /▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraVinculum
-        / █████████████████████←0.04em (40 unit) std vinculum thickness
-       / /
-      / /
-     / /\
-    / / surd
-*/
-
-var sqrtMain = function sqrtMain(extraVinculum, hLinePad) {
-  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
-  return "M95," + (622 + extraVinculum + 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" + extraVinculum / 2.075 + " -" + extraVinculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize1 = function sqrtSize1(extraVinculum, hLinePad) {
-  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
-  return "M263," + (601 + extraVinculum + 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" + extraVinculum / 2.084 + " -" + extraVinculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize2 = function sqrtSize2(extraVinculum, hLinePad) {
-  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
-  return "M983 " + (10 + extraVinculum + hLinePad) + "\nl" + extraVinculum / 3.13 + " -" + extraVinculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraVinculum) + "\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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize3 = function sqrtSize3(extraVinculum, hLinePad) {
-  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
-  return "M424," + (2398 + extraVinculum + 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" + extraVinculum / 4.223 + " -" + extraVinculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "\nh400000v" + (40 + extraVinculum) + "h-400000z";
-};
-
-var sqrtSize4 = function sqrtSize4(extraVinculum, hLinePad) {
-  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
-  return "M473," + (2713 + extraVinculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraVinculum / 5.298 + " -" + extraVinculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraVinculum) + "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 + extraVinculum) + " " + hLinePad + "h400000v" + (40 + extraVinculum) + "H1017.7z";
-};
-
-var phasePath = function phasePath(y) {
-  var x = y / 2; // x coordinate at top of angle
-
-  return "M400000 " + y + " H0 L" + x + " 0 l65 45 L145 " + (y - 80) + " H400000z";
-};
-
-var sqrtTall = function sqrtTall(extraVinculum, 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 vinculum
-  // to a point near (14 units) the bottom of the surd. The vinculum
-  // is normally 40 units thick. So the length of the line in question is:
-  var vertSegment = viewBoxHeight - 54 - hLinePad - extraVinculum;
-  return "M702 " + (extraVinculum + hLinePad) + "H400000" + (40 + extraVinculum) + "\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 + extraVinculum) + "H742z";
-};
-
-var sqrtPath = function sqrtPath(size, extraVinculum, viewBoxHeight) {
-  extraVinculum = 1000 * extraVinculum; // Convert from document ems to viewBox.
-
-  var path = "";
-
-  switch (size) {
-    case "sqrtMain":
-      path = sqrtMain(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize1":
-      path = sqrtSize1(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize2":
-      path = sqrtSize2(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize3":
-      path = sqrtSize3(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtSize4":
-      path = sqrtSize4(extraVinculum, hLinePad);
-      break;
-
-    case "sqrtTall":
-      path = sqrtTall(extraVinculum, hLinePad, viewBoxHeight);
-  }
-
-  return path;
-};
-var innerPath = function innerPath(name, height) {
-  // The inner part of stretchy tall delimiters
-  switch (name) {
-    case "\u239c":
-      return "M291 0 H417 V" + height + " H291z M291 0 H417 V" + height + " H291z";
-
-    case "\u2223":
-      return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z";
-
-    case "\u2225":
-      return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z" + ("M367 0 H410 V" + height + " H367z M367 0 H410 V" + height + " H367z");
-
-    case "\u239f":
-      return "M457 0 H583 V" + height + " H457z M457 0 H583 V" + height + " H457z";
-
-    case "\u23a2":
-      return "M319 0 H403 V" + height + " H319z M319 0 H403 V" + height + " H319z";
-
-    case "\u23a5":
-      return "M263 0 H347 V" + height + " H263z M263 0 H347 V" + height + " H263z";
-
-    case "\u23aa":
-      return "M384 0 H504 V" + height + " H384z M384 0 H504 V" + height + " H384z";
-
-    case "\u23d0":
-      return "M312 0 H355 V" + height + " H312z M312 0 H355 V" + height + " H312z";
-
-    case "\u2016":
-      return "M257 0 H300 V" + height + " H257z M257 0 H300 V" + height + " H257z" + ("M478 0 H521 V" + height + " H478z M478 0 H521 V" + height + " H478z");
-
-    default:
-      return "";
-  }
-};
-var 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 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"
-};
-var tallDelim = function tallDelim(label, midHeight) {
-  switch (label) {
-    case "lbrack":
-      return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v1759 h347 v-84\nH403z M403 1759 V0 H319 V1759 v" + midHeight + " v1759 h84z";
-
-    case "rbrack":
-      return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v1759 H0 v84 H347z\nM347 1759 V0 H263 V1759 v" + midHeight + " v1759 h84z";
-
-    case "vert":
-      return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z";
-
-    case "doublevert":
-      return "M145 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + midHeight + " v585 h43z\nM367 15 v585 v" + midHeight + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -midHeight + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M410 15 H367 v585 v" + midHeight + " v585 h43z";
-
-    case "lfloor":
-      return "M319 602 V0 H403 V602 v" + midHeight + " v1715 h263 v84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z";
-
-    case "rfloor":
-      return "M319 602 V0 H403 V602 v" + midHeight + " v1799 H0 v-84 H319z\nMM319 602 V0 H403 V602 v" + midHeight + " v1715 H319z";
-
-    case "lceil":
-      return "M403 1759 V84 H666 V0 H319 V1759 v" + midHeight + " v602 h84z\nM403 1759 V0 H319 V1759 v" + midHeight + " v602 h84z";
-
-    case "rceil":
-      return "M347 1759 V0 H0 V84 H263 V1759 v" + midHeight + " v602 h84z\nM347 1759 V0 h-84 V1759 v" + midHeight + " v602 h84z";
-
-    case "lparen":
-      return "M863,9c0,-2,-2,-5,-6,-9c0,0,-17,0,-17,0c-12.7,0,-19.3,0.3,-20,1\nc-5.3,5.3,-10.3,11,-15,17c-242.7,294.7,-395.3,682,-458,1162c-21.3,163.3,-33.3,349,\n-36,557 l0," + (midHeight + 84) + "c0.2,6,0,26,0,60c2,159.3,10,310.7,24,454c53.3,528,210,\n949.7,470,1265c4.7,6,9.7,11.7,15,17c0.7,0.7,7,1,19,1c0,0,18,0,18,0c4,-4,6,-7,6,-9\nc0,-2.7,-3.3,-8.7,-10,-18c-135.3,-192.7,-235.5,-414.3,-300.5,-665c-65,-250.7,-102.5,\n-544.7,-112.5,-882c-2,-104,-3,-167,-3,-189\nl0,-" + (midHeight + 92) + "c0,-162.7,5.7,-314,17,-454c20.7,-272,63.7,-513,129,-723c65.3,\n-210,155.3,-396.3,270,-559c6.7,-9.3,10,-15.3,10,-18z";
-
-    case "rparen":
-      return "M76,0c-16.7,0,-25,3,-25,9c0,2,2,6.3,6,13c21.3,28.7,42.3,60.3,\n63,95c96.7,156.7,172.8,332.5,228.5,527.5c55.7,195,92.8,416.5,111.5,664.5\nc11.3,139.3,17,290.7,17,454c0,28,1.7,43,3.3,45l0," + (midHeight + 9) + "\nc-3,4,-3.3,16.7,-3.3,38c0,162,-5.7,313.7,-17,455c-18.7,248,-55.8,469.3,-111.5,664\nc-55.7,194.7,-131.8,370.3,-228.5,527c-20.7,34.7,-41.7,66.3,-63,95c-2,3.3,-4,7,-6,11\nc0,7.3,5.7,11,17,11c0,0,11,0,11,0c9.3,0,14.3,-0.3,15,-1c5.3,-5.3,10.3,-11,15,-17\nc242.7,-294.7,395.3,-681.7,458,-1161c21.3,-164.7,33.3,-350.7,36,-558\nl0,-" + (midHeight + 144) + "c-2,-159.3,-10,-310.7,-24,-454c-53.3,-528,-210,-949.7,\n-470,-1265c-4.7,-6,-9.7,-11.7,-15,-17c-0.7,-0.7,-6.7,-1,-18,-1z";
-
-    default:
-      // We should not ever get here.
-      throw new Error("Unknown stretchy delimiter.");
-  }
-};
-
-/**
- * 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() {
-    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. */
-
-
-  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.
-   */
-
-
-  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 = child => child.toText();
-
-    return this.children.map(toText).join("");
-  }
-
-}
-
-// This file is GENERATED by buildMetrics.sh. DO NOT MODIFY.
-var fontMetricsData = {
-  "AMS-Regular": {
-    "32": [0, 0, 0, 0, 0.25],
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-    "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],
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-    "989": [0.08167, 0.58167, 0, 0, 0.77778],
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-    "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],
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-    "8625": [0, 0.69224, 0, 0, 0.5],
-    "8630": [0, 0.43056, 0, 0, 1.0],
-    "8631": [0, 0.43056, 0, 0, 1.0],
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-    "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],
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-    "8669": [-0.13313, 0.37788, 0, 0, 1.0],
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-    "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 arrays below, in that order.
-//
-// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respectively.
-// 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 retrieved 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
-// 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',
-  'Ð': 'D',
-  'Þ': 'o',
-  'å': 'a',
-  '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 glyph
-    // 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];
-}
-
-/**
- * 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] // size11: [24.88, 20.74, 17.28] \HUGE
-];
-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.
- */
-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) {
-    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`.
-   */
-
-
-  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();
-    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.
-   */
-
-
-  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.
-   */
-
-
-  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).
-
-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 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 ParseError("Invalid unit: '" + sizeValue.unit + "'");
-    }
-
-    if (unitOptions !== options) {
-      scale *= unitOptions.sizeMultiplier / options.sizeMultiplier;
-    }
-  }
-
-  return Math.min(sizeValue.number * scale, options.maxSize);
-};
-/**
- * Round `n` to 4 decimal places, or to the nearest 1/10,000th em. See
- * https://github.com/KaTeX/KaTeX/pull/2460.
- */
-
-var makeEm = function makeEm(n) {
-  return +n.toFixed(4) + "em";
-};
-
-/**
- * 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(cls => 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.
- */
-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() {
-    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;
-  }
-
-  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;
-  }
-
-}
-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.
- */
-
-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
-
-    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];
-    }
-  }
-
-  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() {
-    var node = document.createTextNode(this.text);
-    var span = null;
-
-    if (this.italic > 0) {
-      span = document.createElement("span");
-      span.style.marginRight = makeEm(this.italic);
-    }
-
-    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.
-   */
-
-
-  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;
-    }
-  }
-
-}
-/**
- * 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() {
-    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;
-  }
-
-  toMarkup() {
-    var markup = "<svg xmlns=\"http://www.w3.org/2000/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;
-  }
-
-}
-class PathNode {
-  constructor(pathName, alternate) {
-    this.pathName = void 0;
-    this.alternate = void 0;
-    this.pathName = pathName;
-    this.alternate = alternate; // Used only for \sqrt, \phase, & tall delims
-  }
-
-  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", 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() {
-    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;
-  }
-
-  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;
-  }
-
-}
-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 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": {}
-};
-/** `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:
-
-var math = "math";
-var text = "text"; // fonts:
-
-var main = "main";
-var ams = "ams"; // groups:
-
-var accent = "accent-token";
-var bin = "bin";
-var close = "close";
-var inner = "inner";
-var mathord = "mathord";
-var op = "op-token";
-var open = "open";
-var punct = "punct";
-var rel = "rel";
-var spacing = "spacing";
-var 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, main, textord, "\u0023", "\\#");
-defineSymbol(math, main, textord, "\u0026", "\\&");
-defineSymbol(text, 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(math, main, textord, "\u00a7", "\\S", true);
-defineSymbol(text, main, textord, "\u00a7", "\\S");
-defineSymbol(math, main, textord, "\u00b6", "\\P", true);
-defineSymbol(text, main, textord, "\u00b6", "\\P"); // Math and Text
-
-defineSymbol(math, main, textord, "\u2020", "\\dag");
-defineSymbol(text, main, textord, "\u2020", "\\dag");
-defineSymbol(text, main, textord, "\u2020", "\\textdagger");
-defineSymbol(math, main, textord, "\u2021", "\\ddag");
-defineSymbol(text, main, textord, "\u2021", "\\ddag");
-defineSymbol(text, 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", true);
-defineSymbol(math, main, bin, "\u2219", "\\bullet", true);
-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, 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, 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, ams, textord, "\u00a5", "\\yen", true);
-defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true);
-defineSymbol(text, 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, main, rel, "\u22b6", "\\origof", true); // not in font
-
-defineSymbol(math, main, rel, "\u22b7", "\\imageof", true); // not in font
-
-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, main, textord, "$", "\\$");
-defineSymbol(text, main, textord, "$", "\\textdollar");
-defineSymbol(math, main, textord, "%", "\\%");
-defineSymbol(text, main, textord, "%", "\\%");
-defineSymbol(math, main, textord, "_", "\\_");
-defineSymbol(text, main, textord, "_", "\\_");
-defineSymbol(text, 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", "*", true);
-defineSymbol(math, main, bin, "+", "+");
-defineSymbol(math, main, bin, "\u2212", "-", true);
-defineSymbol(math, main, bin, "\u22c5", "\\cdot", true);
-defineSymbol(math, main, bin, "\u2218", "\\circ", true);
-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", true);
-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", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%
-
-defineSymbol(math, main, spacing, "\u00a0", "\\nobreakspace");
-defineSymbol(text, main, spacing, "\u00a0", "\\ ");
-defineSymbol(text, main, spacing, "\u00a0", " ");
-defineSymbol(text, main, spacing, "\u00a0", "\\space");
-defineSymbol(text, 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, main, textord, "{", "\\{");
-defineSymbol(text, main, textord, "{", "\\textbraceleft");
-defineSymbol(math, main, close, "}", "\\}");
-defineSymbol(text, main, textord, "}", "\\}");
-defineSymbol(text, main, textord, "}", "\\textbraceright");
-defineSymbol(math, main, open, "{", "\\lbrace");
-defineSymbol(math, main, close, "}", "\\rbrace");
-defineSymbol(math, main, open, "[", "\\lbrack", true);
-defineSymbol(text, main, textord, "[", "\\lbrack", true);
-defineSymbol(math, main, close, "]", "\\rbrack", true);
-defineSymbol(text, main, textord, "]", "\\rbrack", true);
-defineSymbol(math, main, open, "(", "\\lparen", true);
-defineSymbol(math, main, close, ")", "\\rparen", true);
-defineSymbol(text, main, textord, "<", "\\textless", true); // in T1 fontenc
-
-defineSymbol(text, 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, main, textord, "|", "\\textbar", true); // in T1 fontenc
-
-defineSymbol(math, main, textord, "\u2225", "\\|");
-defineSymbol(math, main, textord, "\u2225", "\\Vert");
-defineSymbol(text, main, textord, "\u2225", "\\textbardbl");
-defineSymbol(text, main, textord, "~", "\\textasciitilde");
-defineSymbol(text, main, textord, "\\", "\\textbackslash");
-defineSymbol(text, 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, main, inner, "\u2026", "\\textellipsis");
-defineSymbol(math, main, inner, "\u2026", "\\mathellipsis");
-defineSymbol(text, 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, main, textord, "\u0131", "\\i", true);
-defineSymbol(text, main, textord, "\u0237", "\\j", true);
-defineSymbol(text, main, textord, "\u00df", "\\ss", true);
-defineSymbol(text, main, textord, "\u00e6", "\\ae", true);
-defineSymbol(text, main, textord, "\u0153", "\\oe", true);
-defineSymbol(text, main, textord, "\u00f8", "\\o", true);
-defineSymbol(text, main, textord, "\u00c6", "\\AE", true);
-defineSymbol(text, main, textord, "\u0152", "\\OE", true);
-defineSymbol(text, main, textord, "\u00d8", "\\O", true);
-defineSymbol(text, main, accent, "\u02ca", "\\'"); // acute
-
-defineSymbol(text, main, accent, "\u02cb", "\\`"); // grave
-
-defineSymbol(text, main, accent, "\u02c6", "\\^"); // circumflex
-
-defineSymbol(text, main, accent, "\u02dc", "\\~"); // tilde
-
-defineSymbol(text, main, accent, "\u02c9", "\\="); // macron
-
-defineSymbol(text, main, accent, "\u02d8", "\\u"); // breve
-
-defineSymbol(text, main, accent, "\u02d9", "\\."); // dot above
-
-defineSymbol(text, main, accent, "\u00b8", "\\c"); // cedilla
-
-defineSymbol(text, main, accent, "\u02da", "\\r"); // ring above
-
-defineSymbol(text, main, accent, "\u02c7", "\\v"); // caron
-
-defineSymbol(text, main, accent, "\u00a8", '\\"'); // diaresis
-
-defineSymbol(text, main, accent, "\u02dd", "\\H"); // double acute
-
-defineSymbol(text, main, accent, "\u25ef", "\\textcircled"); // \bigcirc glyph
-// These ligatures are detected and created in Parser.js's `formLigatures`.
-
-var ligatures = {
-  "--": true,
-  "---": true,
-  "``": true,
-  "''": true
-};
-defineSymbol(text, main, textord, "\u2013", "--", true);
-defineSymbol(text, main, textord, "\u2013", "\\textendash");
-defineSymbol(text, main, textord, "\u2014", "---", true);
-defineSymbol(text, main, textord, "\u2014", "\\textemdash");
-defineSymbol(text, main, textord, "\u2018", "`", true);
-defineSymbol(text, main, textord, "\u2018", "\\textquoteleft");
-defineSymbol(text, main, textord, "\u2019", "'", true);
-defineSymbol(text, main, textord, "\u2019", "\\textquoteright");
-defineSymbol(text, main, textord, "\u201c", "``", true);
-defineSymbol(text, main, textord, "\u201c", "\\textquotedblleft");
-defineSymbol(text, main, textord, "\u201d", "''", true);
-defineSymbol(text, main, textord, "\u201d", "\\textquotedblright"); //  \degree from gensymb package
-
-defineSymbol(math, main, textord, "\u00b0", "\\degree", true);
-defineSymbol(text, main, textord, "\u00b0", "\\degree"); // \textdegree from inputenc package
-
-defineSymbol(text, 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, main, textord, "\u00a3", "\\pounds");
-defineSymbol(text, main, textord, "\u00a3", "\\textsterling", true);
-defineSymbol(math, ams, textord, "\u2720", "\\maltese");
-defineSymbol(text, 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
-
-var mathTextSymbols = "0123456789/@.\"";
-
-for (var i = 0; i < mathTextSymbols.length; i++) {
-  var ch = mathTextSymbols.charAt(i);
-  defineSymbol(math, main, textord, ch, ch);
-} // All of these are textords in text mode
-
-
-var textSymbols = "0123456789!@*()-=+\";:?/.,";
-
-for (var _i = 0; _i < textSymbols.length; _i++) {
-  var _ch = textSymbols.charAt(_i);
-
-  defineSymbol(text, main, textord, _ch, _ch);
-} // All of these are textords in text mode, and mathords in math mode
-
-
-var letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
-
-for (var _i2 = 0; _i2 < letters.length; _i2++) {
-  var _ch2 = letters.charAt(_i2);
-
-  defineSymbol(math, main, mathord, _ch2, _ch2);
-  defineSymbol(text, main, textord, _ch2, _ch2);
-} // Blackboard bold and script letters in Unicode range
-
-
-defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold
-
-defineSymbol(text, ams, textord, "C", "\u2102");
-defineSymbol(math, ams, textord, "H", "\u210D");
-defineSymbol(text, ams, textord, "H", "\u210D");
-defineSymbol(math, ams, textord, "N", "\u2115");
-defineSymbol(text, ams, textord, "N", "\u2115");
-defineSymbol(math, ams, textord, "P", "\u2119");
-defineSymbol(text, ams, textord, "P", "\u2119");
-defineSymbol(math, ams, textord, "Q", "\u211A");
-defineSymbol(text, ams, textord, "Q", "\u211A");
-defineSymbol(math, ams, textord, "R", "\u211D");
-defineSymbol(text, ams, textord, "R", "\u211D");
-defineSymbol(math, ams, textord, "Z", "\u2124");
-defineSymbol(text, ams, textord, "Z", "\u2124");
-defineSymbol(math, main, mathord, "h", "\u210E"); // italic h, Planck constant
-
-defineSymbol(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 wideChar = "";
-
-for (var _i3 = 0; _i3 < letters.length; _i3++) {
-  var _ch3 = letters.charAt(_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.
-
-
-  wideChar = String.fromCharCode(0xD835, 0xDC00 + _i3); // A-Z a-z bold
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDC34 + _i3); // A-Z a-z italic
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDC68 + _i3); // A-Z a-z bold italic
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDD04 + _i3); // A-Z a-z Fractur
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDDA0 + _i3); // A-Z a-z sans-serif
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDDD4 + _i3); // A-Z a-z sans bold
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDE08 + _i3); // A-Z a-z sans italic
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDE70 + _i3); // A-Z a-z monospace
-
-  defineSymbol(math, main, mathord, _ch3, wideChar);
-  defineSymbol(text, main, textord, _ch3, wideChar);
-
-  if (_i3 < 26) {
-    // KaTeX fonts have only capital letters for blackboard bold and script.
-    // See exception for k below.
-    wideChar = String.fromCharCode(0xD835, 0xDD38 + _i3); // A-Z double struck
-
-    defineSymbol(math, main, mathord, _ch3, wideChar);
-    defineSymbol(text, main, textord, _ch3, wideChar);
-    wideChar = String.fromCharCode(0xD835, 0xDC9C + _i3); // A-Z script
-
-    defineSymbol(math, main, mathord, _ch3, wideChar);
-    defineSymbol(text, main, textord, _ch3, 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, main, textord, "k", wideChar); // Next, some wide character numerals
-
-for (var _i4 = 0; _i4 < 10; _i4++) {
-  var _ch4 = _i4.toString();
-
-  wideChar = String.fromCharCode(0xD835, 0xDFCE + _i4); // 0-9 bold
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(text, main, textord, _ch4, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDFE2 + _i4); // 0-9 sans serif
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(text, main, textord, _ch4, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDFEC + _i4); // 0-9 bold sans
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(text, main, textord, _ch4, wideChar);
-  wideChar = String.fromCharCode(0xD835, 0xDFF6 + _i4); // 0-9 monospace
-
-  defineSymbol(math, main, mathord, _ch4, wideChar);
-  defineSymbol(text, main, textord, _ch4, 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 = "\u00d0\u00de\u00fe";
-
-for (var _i5 = 0; _i5 < extraLatin.length; _i5++) {
-  var _ch5 = extraLatin.charAt(_i5);
-
-  defineSymbol(math, main, mathord, _ch5, _ch5);
-  defineSymbol(text, main, textord, _ch5, _ch5);
-}
-
-/**
- * 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"] // a-z monospace
-];
-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"] // 0-9 monospace
-];
-var 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 ParseError("Unsupported character: " + wideChar);
-  }
-};
-
-/* eslint no-console:0 */
-
-/**
- * Looks up the given symbol in fontMetrics, after applying any symbol
- * replacements defined in symbol.js
- */
-var 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.
- */
-
-
-var makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
-  var lookup = 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 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");
-    }
-
-    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 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".
- */
-
-
-var 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.
- */
-
-
-var 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 [wideFontName, wideFontClass] = wideCharacterFont(text, mode);
-    return 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 (lookupSymbol(text, fontName, mode).metrics) {
-      return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
-    } else if (ligatures.hasOwnProperty(text) && fontName.slice(0, 10) === "Typewriter") {
-      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
-      var parts = [];
-
-      for (var 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") {
-    var font = symbols[mode][text] && symbols[mode][text].font;
-
-    if (font === "ams") {
-      var _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) {
-      var _fontName2 = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
-
-      return 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 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 canCombine = (prev, next) => {
-  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
-    return false;
-  } // If prev and next both are just "mbin"s or "mord"s we don't combine them
-  // so that the proper spacing can be preserved.
-
-
-  if (prev.classes.length === 1) {
-    var cls = prev.classes[0];
-
-    if (cls === "mbin" || cls === "mord") {
-      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 consecutive domTree.symbolNodes into a single symbolNode.
- * Note: this function mutates the argument.
- */
-
-
-var tryCombineChars = chars => {
-  for (var i = 0; i < chars.length - 1; i++) {
-    var prev = chars[i];
-    var 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.
- */
-
-
-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 makeSpan$2 = function makeSpan(classes, children, options, style) {
-  var 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.
-
-
-var makeSvgSpan = (classes, children, options, style) => new Span(classes, children, options, style);
-
-var makeLineSpan = function makeLineSpan(className, options, thickness) {
-  var line = makeSpan$2([className], [], options);
-  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
-  line.style.borderBottomWidth = makeEm(line.height);
-  line.maxFontSize = 1.0;
-  return line;
-};
-/**
- * Makes an anchor with the given href, list of classes, list of children,
- * and options.
- */
-
-
-var makeAnchor = function makeAnchor(href, classes, children, options) {
-  var anchor = new Anchor(href, classes, children, options);
-  sizeElementFromChildren(anchor);
-  return anchor;
-};
-/**
- * Makes a document fragment with the given list of children.
- */
-
-
-var makeFragment = function makeFragment(children) {
-  var 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
- */
-
-
-var wrapFragment = function wrapFragment(group, options) {
-  if (group instanceof DocumentFragment) {
-    return makeSpan$2([], [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
-      });
-      children.push(oldChildren[i]);
-    }
-
-    return {
-      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
-  };
-};
-/**
- * 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 makeVList = function makeVList(params, options) {
-  var {
-    children,
-    depth
-  } = getVListChildrenAndDepth(params); // 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 = makeSpan$2(["pstrut"], []);
-  pstrut.style.height = makeEm(pstrutSize); // 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 = makeSpan$2(classes, [pstrut, _elem], undefined, style);
-      childWrap.style.top = makeEm(-pstrutSize - currPos - _elem.depth);
-
-      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 = makeSpan$2(["vlist"], realChildren);
-  vlist.style.height = makeEm(maxPos); // 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 = makeSpan$2([], []);
-    var depthStrut = makeSpan$2(["vlist"], [emptySpan]);
-    depthStrut.style.height = makeEm(-minPos); // Safari wants the first row to have inline content; otherwise it
-    // puts the bottom of the *second* row on the baseline.
-
-    var topStrut = makeSpan$2(["vlist-s"], [new SymbolNode("\u200b")]);
-    rows = [makeSpan$2(["vlist-r"], [vlist, topStrut]), makeSpan$2(["vlist-r"], [depthStrut])];
-  } else {
-    rows = [makeSpan$2(["vlist-r"], [vlist])];
-  }
-
-  var vtable = makeSpan$2(["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 makeGlue = (measurement, options) => {
-  // Make an empty span for the space
-  var rule = makeSpan$2(["mspace"], [], options);
-  var size = calculateSize(measurement, options);
-  rule.style.marginRight = makeEm(size);
-  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]
-};
-
-var staticSvg = function staticSvg(value, options) {
-  // Create a span with inline SVG for the element.
-  var [pathName, width, height] = svgData[value];
-  var path = new PathNode(pathName);
-  var svgNode = new SvgNode([path], {
-    "width": makeEm(width),
-    "height": makeEm(height),
-    // Override CSS rule `.katex svg { width: 100% }`
-    "style": "width:" + makeEm(width),
-    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
-    "preserveAspectRatio": "xMinYMin"
-  });
-  var span = makeSvgSpan(["overlay"], [svgNode], options);
-  span.height = height;
-  span.style.height = makeEm(height);
-  span.style.width = makeEm(width);
-  return span;
-};
-
-var buildCommon = {
-  fontMap,
-  makeSymbol,
-  mathsym,
-  makeSpan: makeSpan$2,
-  makeSvgSpan,
-  makeLineSpan,
-  makeAnchor,
-  makeFragment,
-  wrapFragment,
-  makeVList,
-  makeOrd,
-  makeGlue,
-  staticSvg,
-  svgData,
-  tryCombineChars
-};
-
-/**
- * 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
-  }
-};
-
-/** 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,
-    names,
-    props,
-    handler,
-    htmlBuilder,
-    mathmlBuilder
-  } = _ref;
-  // Set default values of functions
-  var data = {
-    type,
-    numArgs: props.numArgs,
-    argTypes: props.argTypes,
-    allowedInArgument: !!props.allowedInArgument,
-    allowedInText: !!props.allowedInText,
-    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
-    numOptionalArgs: props.numOptionalArgs || 0,
-    infix: !!props.infix,
-    primitive: !!props.primitive,
-    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,
-    htmlBuilder,
-    mathmlBuilder
-  } = _ref2;
-  defineFunction({
-    type,
-    names: [],
-    props: {
-      numArgs: 0
-    },
-
-    handler() {
-      throw new Error('Should never be called.');
-    },
-
-    htmlBuilder,
-    mathmlBuilder
-  });
-}
-var normalizeArgument = function normalizeArgument(arg) {
-  return arg.type === "ordgroup" && arg.body.length === 1 ? arg.body[0] : arg;
-}; // 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];
-};
-
-/**
- * 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 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.
-
-var binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
-var binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
-var styleMap$1 = {
-  "display": Style$1.DISPLAY,
-  "text": Style$1.TEXT,
-  "script": Style$1.SCRIPT,
-  "scriptscript": Style$1.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 buildExpression$1 = 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 = buildGroup$1(expression[i], options);
-
-    if (output instanceof DocumentFragment) {
-      var children = output.children;
-      groups.push(...children);
-    } else {
-      groups.push(output);
-    }
-  } // Combine consecutive domTree.symbolNodes into a single symbolNode.
-
-
-  buildCommon.tryCombineChars(groups); // 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$1[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 = makeSpan$1([surrounding[0] || "leftmost"], [], options);
-  var 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.
-
-  var isRoot = isRealGroup === "root";
-  traverseNonSpaceNodes(groups, (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, (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 = 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 = 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.
-
-
-var 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.
-
-
-var getOutermostNode = function getOutermostNode(node, side) {
-  var partialGroup = 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 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.
- */
-
-var buildGroup$1 = function buildGroup(group, options, baseOptions) {
-  if (!group) {
-    return makeSpan$1();
-  }
-
-  if (_htmlGroupBuilders[group.type]) {
-    // Call the groupBuilders function
-    // $FlowFixMe
-    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 = makeSpan$1(options.sizingClasses(baseOptions), [groupNode], options);
-      var 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.
-  var 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.
-
-  var strut = makeSpan$1(["strut"]);
-  strut.style.height = makeEm(body.height + body.depth);
-
-  if (body.depth) {
-    strut.style.verticalAlign = makeEm(-body.depth);
-  }
-
-  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 = buildExpression$1(tree, options, "root");
-  var eqnNum;
-
-  if (expression.length === 2 && expression[1].hasClass("tag")) {
-    // An environment with automatic equation numbers, e.g. {gather}.
-    eqnNum = expression.pop();
-  }
-
-  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(buildExpression$1(tag, options, true));
-    tagChild.classes = ["tag"];
-    children.push(tagChild);
-  } else if (eqnNum) {
-    children.push(eqnNum);
-  }
-
-  var 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) {
-    var strut = tagChild.children[0];
-    strut.style.height = makeEm(htmlNode.height + htmlNode.depth);
-
-    if (htmlNode.depth) {
-      strut.style.verticalAlign = makeEm(-htmlNode.depth);
-    }
-  }
-
-  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 similarly 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, classes) {
-    this.type = void 0;
-    this.attributes = void 0;
-    this.children = void 0;
-    this.classes = void 0;
-    this.type = type;
-    this.attributes = {};
-    this.children = children || [];
-    this.classes = classes || [];
-  }
-  /**
-   * 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() {
-    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]);
-      }
-    }
-
-    if (this.classes.length > 0) {
-      node.className = createClass(this.classes);
-    }
-
-    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.
-   */
-
-
-  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 += "\"";
-      }
-    }
-
-    if (this.classes.length > 0) {
-      markup += " class =\"" + utils.escape(createClass(this.classes)) + "\"";
-    }
-
-    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.
-   */
-
-
-  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 itself).
-   */
-
-
-  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 {
-      var node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
-      node.setAttribute("width", makeEm(this.width));
-      return node;
-    }
-  }
-  /**
-   * Converts the math node into an HTML markup string.
-   */
-
-
-  toMarkup() {
-    if (this.character) {
-      return "<mtext>" + this.character + "</mtext>";
-    } else {
-      return "<mspace width=\"" + makeEm(this.width) + "\"/>";
-    }
-  }
-  /**
-   * 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 corresponding 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 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.slice(4, 6) === "tt" || options.font && options.font.slice(4, 6) === "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.
- */
-
-var 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 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 calligraphic
-    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 (symbols[mode][text] && symbols[mode][text].replace) {
-    text = 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 buildExpression = function buildExpression(expression, options, isOrdgroup) {
-  if (expression.length === 1) {
-    var group = buildGroup(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];
-  }
-
-  var groups = [];
-  var lastGroup;
-
-  for (var i = 0; i < expression.length; i++) {
-    var _group = buildGroup(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') {
-        var 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) {
-        var lastChild = lastGroup.children[0];
-
-        if (lastChild instanceof TextNode && lastChild.text === '\u0338' && (_group.type === 'mo' || _group.type === 'mi' || _group.type === 'mn')) {
-          var _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.
- */
-
-var buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
-  return makeRow(buildExpression(expression, options, isOrdgroup));
-};
-/**
- * Takes a group from the parser and calls the appropriate groupBuilders function
- * on it to produce a MathML node.
- */
-
-var buildGroup = function buildGroup(group, options) {
-  if (!group) {
-    return new mathMLTree.MathNode("mrow");
-  }
-
-  if (_mathmlGroupBuilders[group.type]) {
-    // Call the groupBuilders function
-    // $FlowFixMe
-    var result = _mathmlGroupBuilders[group.type](group, options); // $FlowFixMe
-
-    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) {
-  var expression = buildExpression(tree, options); // TODO: Make a pass thru the MathML similar to buildHTML.traverseNonSpaceNodes
-  // and add spacing nodes. This is necessary only adjacent to math operators
-  // like \sin or \lim or to subsup elements that contain math operators.
-  // MathML takes care of the other spacing issues.
-  // 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 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]);
-}
-
-var optionsFromSettings = function optionsFromSettings(settings) {
-  return new Options({
-    style: settings.displayMode ? Style$1.DISPLAY : Style$1.TEXT,
-    maxSize: settings.maxSize,
-    minRuleThickness: settings.minRuleThickness
-  });
-};
-
-var 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 = function buildTree(tree, expression, settings) {
-  var options = 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 displayWrap(katexNode, settings);
-};
-var buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
-  var options = optionsFromSettings(settings);
-  var htmlNode = buildHTML(tree, options);
-  var 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.
- */
-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.
-  "\\cdrightarrow": "\u2192",
-  "\\cdleftarrow": "\u2190",
-  "\\cdlongequal": "="
-};
-
-var mathMLnode = function mathMLnode(label) {
-  var node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.replace(/^\\/, '')])]);
-  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"],
-  "\\cdrightarrow": [["rightarrow"], 3.0, 522, "xMaxYMin"],
-  // CD minwwidth2.5pc
-  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
-  "\\cdleftarrow": [["leftarrow"], 3.0, 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"],
-  "\\cdlongequal": [["longequal"], 3.0, 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 svgSpan = function svgSpan(group, options) {
-  // Create a span with inline SVG for the element.
-  function buildSvgSpan_() {
-    var viewBoxWidth = 400000; // default
-
-    var label = group.label.slice(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`.
-      // $FlowFixMe
-      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 PathNode(pathName);
-      var svgNode = new SvgNode([path], {
-        "width": "100%",
-        "height": makeEm(_height),
-        "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, _minWidth, _viewBoxHeight] = data;
-
-      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 PathNode(paths[i]);
-
-        var _svgNode = new SvgNode([_path], {
-          "width": "400em",
-          "height": makeEm(_height2),
-          "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 = makeEm(_height2);
-          spans.push(_span);
-        }
-      }
-
-      return {
-        span: buildCommon.makeSpan(["stretchy"], spans, options),
-        minWidth: _minWidth,
-        height: _height2
-      };
-    }
-  } // buildSvgSpan_()
-
-
-  var {
-    span,
-    minWidth,
-    height
-  } = buildSvgSpan_(); // 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 = makeEm(height);
-
-  if (minWidth > 0) {
-    span.style.minWidth = makeEm(minWidth);
-  }
-
-  return span;
-};
-
-var encloseSpan = function encloseSpan(inner, label, topPad, bottomPad, options) {
-  // Return an image span for \cancel, \bcancel, \xcancel, \fbox, or \angl
-  var img;
-  var totalHeight = inner.height + inner.depth + topPad + bottomPad;
-
-  if (/fbox|color|angl/.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": makeEm(totalHeight)
-    });
-    img = buildCommon.makeSvgSpan([], [svgNode], options);
-  }
-
-  img.height = totalHeight;
-  img.style.height = makeEm(totalHeight);
-  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)));
-  } // $FlowFixMe, >=0.125
-
-
-  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))) {
-    // $FlowFixMe
-    return node;
-  }
-
-  return null;
-}
-
-// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but
-// also "supsub" since an accent can affect super/subscripting.
-var htmlBuilder$a = (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(buildGroup$1(grp, options)); // reset original base
-
-    grp.base = group;
-  } else {
-    group = assertNodeType(grp, "accent");
-    base = group.base;
-  } // Build the base group
-
-
-  var body = buildGroup$1(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 = buildGroup$1(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
-  }
-
-  var accentBelow = group.label === "\\c"; // calculate the amount of space between the body and the accent
-
-  var clearance = accentBelow ? body.height + body.depth : 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;
-
-      if (accentBelow) {
-        clearance += accent.depth;
-      }
-    }
-
-    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 = makeEm(left); // \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% - " + makeEm(2 * skew) + ")",
-          marginLeft: makeEm(2 * skew)
-        } : 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 mathmlBuilder$9 = (group, options) => {
-  var accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [makeText(group.label, group.mode)]);
-  var node = new mathMLTree.MathNode("mover", [buildGroup(group.base, options), accentNode]);
-  node.setAttribute("accent", "true");
-  return node;
-};
-
-var NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(accent => "\\" + accent).join("|")); // Accents
-
-defineFunction({
-  type: "accent",
-  names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"],
-  props: {
-    numArgs: 1
-  },
-  handler: (context, args) => {
-    var base = normalizeArgument(args[0]);
-    var isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName);
-    var isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck";
-    return {
-      type: "accent",
-      mode: context.parser.mode,
-      label: context.funcName,
-      isStretchy: isStretchy,
-      isShifty: isShifty,
-      base: base
-    };
-  },
-  htmlBuilder: htmlBuilder$a,
-  mathmlBuilder: mathmlBuilder$9
-}); // Text-mode accents
-
-defineFunction({
-  type: "accent",
-  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\c", "\\r", "\\H", "\\v", "\\textcircled"],
-  props: {
-    numArgs: 1,
-    allowedInText: true,
-    allowedInMath: true,
-    // unless in strict mode
-    argTypes: ["primitive"]
-  },
-  handler: (context, args) => {
-    var base = args[0];
-    var mode = context.parser.mode;
-
-    if (mode === "math") {
-      context.parser.settings.reportNonstrict("mathVsTextAccents", "LaTeX's accent " + context.funcName + " works only in text mode");
-      mode = "text";
-    }
-
-    return {
-      type: "accent",
-      mode: mode,
-      label: context.funcName,
-      isStretchy: false,
-      isShifty: true,
-      base: base
-    };
-  },
-  htmlBuilder: htmlBuilder$a,
-  mathmlBuilder: mathmlBuilder$9
-});
-
-// Horizontal overlap functions
-defineFunction({
-  type: "accentUnder",
-  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
-  props: {
-    numArgs: 1
-  },
-  handler: (_ref, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var base = args[0];
-    return {
-      type: "accentUnder",
-      mode: parser.mode,
-      label: funcName,
-      base: base
-    };
-  },
-  htmlBuilder: (group, options) => {
-    // Treat under accents much like underlines.
-    var innerGroup = buildGroup$1(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: (group, options) => {
-    var accentNode = stretchy.mathMLnode(group.label);
-    var node = new mathMLTree.MathNode("munder", [buildGroup(group.base, options), accentNode]);
-    node.setAttribute("accentunder", "true");
-    return node;
-  }
-});
-
-// Helper function
-var 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", // The next 3 functions are here only to support the {CD} environment.
-  "\\\\cdrightarrow", "\\\\cdleftarrow", "\\\\cdlongequal"],
-  props: {
-    numArgs: 1,
-    numOptionalArgs: 1
-  },
-
-  handler(_ref, args, optArgs) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    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
-  // unambiguously determined from the passed-in `type` above.
-  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(buildGroup$1(group.body, newOptions, options), options);
-    var arrowPrefix = group.label.slice(0, 2) === "\\x" ? "x" : "cd";
-    upperGroup.classes.push(arrowPrefix + "-arrow-pad");
-    var lowerGroup;
-
-    if (group.below) {
-      // Build the lower group
-      newOptions = options.havingStyle(style.sub());
-      lowerGroup = buildCommon.wrapFragment(buildGroup$1(group.below, newOptions, options), options);
-      lowerGroup.classes.push(arrowPrefix + "-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(group, options) {
-    var arrowNode = stretchy.mathMLnode(group.label);
-    arrowNode.setAttribute("minsize", group.label.charAt(0) === "x" ? "1.75em" : "3.0em");
-    var node;
-
-    if (group.body) {
-      var upperNode = paddedNode(buildGroup(group.body, options));
-
-      if (group.below) {
-        var lowerNode = paddedNode(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 = paddedNode(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 = paddedNode();
-      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
-    }
-
-    return node;
-  }
-
-});
-
-var makeSpan = buildCommon.makeSpan;
-
-function htmlBuilder$9(group, options) {
-  var elements = buildExpression$1(group.body, options, true);
-  return makeSpan([group.mclass], elements, options);
-}
-
-function mathmlBuilder$8(group, options) {
-  var node;
-  var inner = buildExpression(group.body, options);
-
-  if (group.mclass === "minner") {
-    node = new mathMLTree.MathNode("mpadded", 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";
-    } else if (group.mclass === "minner") {
-      node.attributes.lspace = "0.0556em"; // 1 mu is the most likely option
-
-      node.attributes.width = "+0.1111em";
-    } // 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,
-    primitive: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var body = args[0];
-    return {
-      type: "mclass",
-      mode: parser.mode,
-      mclass: "m" + funcName.slice(5),
-      // TODO(kevinb): don't prefix with 'm'
-      body: ordargument(body),
-      isCharacterBox: utils.isCharacterBox(body)
-    };
-  },
-
-  htmlBuilder: htmlBuilder$9,
-  mathmlBuilder: mathmlBuilder$8
-});
-var 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(_ref2, args) {
-    var {
-      parser
-    } = _ref2;
-    return {
-      type: "mclass",
-      mode: parser.mode,
-      mclass: binrelClass(args[0]),
-      body: ordargument(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) {
-    var {
-      parser,
-      funcName
-    } = _ref3;
-    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,
-      body: [supsub],
-      isCharacterBox: utils.isCharacterBox(supsub)
-    };
-  },
-
-  htmlBuilder: htmlBuilder$9,
-  mathmlBuilder: mathmlBuilder$8
-});
-
-// \pmb is a simulation of bold font.
-// The version of \pmb in ambsy.sty works by typesetting three copies
-// with small offsets. We use CSS text-shadow.
-// It's a hack. Not as good as a real bold font. Better than nothing.
-defineFunction({
-  type: "pmb",
-  names: ["\\pmb"],
-  props: {
-    numArgs: 1,
-    allowedInText: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser
-    } = _ref;
-    return {
-      type: "pmb",
-      mode: parser.mode,
-      mclass: binrelClass(args[0]),
-      body: ordargument(args[0])
-    };
-  },
-
-  htmlBuilder(group, options) {
-    var elements = buildExpression$1(group.body, options, true);
-    var node = buildCommon.makeSpan([group.mclass], elements, options);
-    node.style.textShadow = "0.02em 0.01em 0.04px";
-    return node;
-  },
-
-  mathmlBuilder(group, style) {
-    var inner = buildExpression(group.body, style); // Wrap with an <mstyle> element.
-
-    var node = new mathMLTree.MathNode("mstyle", inner);
-    node.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px");
-    return node;
-  }
-
-});
-
-var cdArrowFunctionName = {
-  ">": "\\\\cdrightarrow",
-  "<": "\\\\cdleftarrow",
-  "=": "\\\\cdlongequal",
-  "A": "\\uparrow",
-  "V": "\\downarrow",
-  "|": "\\Vert",
-  ".": "no arrow"
-};
-
-var newCell = () => {
-  // Create an empty cell, to be filled below with parse nodes.
-  // The parseTree from this module must be constructed like the
-  // one created by parseArray(), so an empty CD cell must
-  // be a ParseNode<"styling">. And CD is always displaystyle.
-  // So these values are fixed and flow can do implicit typing.
-  return {
-    type: "styling",
-    body: [],
-    mode: "math",
-    style: "display"
-  };
-};
-
-var isStartOfArrow = node => {
-  return node.type === "textord" && node.text === "@";
-};
-
-var isLabelEnd = (node, endChar) => {
-  return (node.type === "mathord" || node.type === "atom") && node.text === endChar;
-};
-
-function cdArrow(arrowChar, labels, parser) {
-  // Return a parse tree of an arrow and its labels.
-  // This acts in a way similar to a macro expansion.
-  var funcName = cdArrowFunctionName[arrowChar];
-
-  switch (funcName) {
-    case "\\\\cdrightarrow":
-    case "\\\\cdleftarrow":
-      return parser.callFunction(funcName, [labels[0]], [labels[1]]);
-
-    case "\\uparrow":
-    case "\\downarrow":
-      {
-        var leftLabel = parser.callFunction("\\\\cdleft", [labels[0]], []);
-        var bareArrow = {
-          type: "atom",
-          text: funcName,
-          mode: "math",
-          family: "rel"
-        };
-        var sizedArrow = parser.callFunction("\\Big", [bareArrow], []);
-        var rightLabel = parser.callFunction("\\\\cdright", [labels[1]], []);
-        var arrowGroup = {
-          type: "ordgroup",
-          mode: "math",
-          body: [leftLabel, sizedArrow, rightLabel]
-        };
-        return parser.callFunction("\\\\cdparent", [arrowGroup], []);
-      }
-
-    case "\\\\cdlongequal":
-      return parser.callFunction("\\\\cdlongequal", [], []);
-
-    case "\\Vert":
-      {
-        var arrow = {
-          type: "textord",
-          text: "\\Vert",
-          mode: "math"
-        };
-        return parser.callFunction("\\Big", [arrow], []);
-      }
-
-    default:
-      return {
-        type: "textord",
-        text: " ",
-        mode: "math"
-      };
-  }
-}
-
-function parseCD(parser) {
-  // Get the array's parse nodes with \\ temporarily mapped to \cr.
-  var parsedRows = [];
-  parser.gullet.beginGroup();
-  parser.gullet.macros.set("\\cr", "\\\\\\relax");
-  parser.gullet.beginGroup();
-
-  while (true) {
-    // eslint-disable-line no-constant-condition
-    // Get the parse nodes for the next row.
-    parsedRows.push(parser.parseExpression(false, "\\\\"));
-    parser.gullet.endGroup();
-    parser.gullet.beginGroup();
-    var next = parser.fetch().text;
-
-    if (next === "&" || next === "\\\\") {
-      parser.consume();
-    } else if (next === "\\end") {
-      if (parsedRows[parsedRows.length - 1].length === 0) {
-        parsedRows.pop(); // final row ended in \\
-      }
-
-      break;
-    } else {
-      throw new ParseError("Expected \\\\ or \\cr or \\end", parser.nextToken);
-    }
-  }
-
-  var row = [];
-  var body = [row]; // Loop thru the parse nodes. Collect them into cells and arrows.
-
-  for (var i = 0; i < parsedRows.length; i++) {
-    // Start a new row.
-    var rowNodes = parsedRows[i]; // Create the first cell.
-
-    var cell = newCell();
-
-    for (var j = 0; j < rowNodes.length; j++) {
-      if (!isStartOfArrow(rowNodes[j])) {
-        // If a parseNode is not an arrow, it goes into a cell.
-        cell.body.push(rowNodes[j]);
-      } else {
-        // Parse node j is an "@", the start of an arrow.
-        // Before starting on the arrow, push the cell into `row`.
-        row.push(cell); // Now collect parseNodes into an arrow.
-        // The character after "@" defines the arrow type.
-
-        j += 1;
-        var arrowChar = assertSymbolNodeType(rowNodes[j]).text; // Create two empty label nodes. We may or may not use them.
-
-        var labels = new Array(2);
-        labels[0] = {
-          type: "ordgroup",
-          mode: "math",
-          body: []
-        };
-        labels[1] = {
-          type: "ordgroup",
-          mode: "math",
-          body: []
-        }; // Process the arrow.
-
-        if ("=|.".indexOf(arrowChar) > -1) ; else if ("<>AV".indexOf(arrowChar) > -1) {
-          // Four arrows, `@>>>`, `@<<<`, `@AAA`, and `@VVV`, each take
-          // two optional labels. E.g. the right-point arrow syntax is
-          // really:  @>{optional label}>{optional label}>
-          // Collect parseNodes into labels.
-          for (var labelNum = 0; labelNum < 2; labelNum++) {
-            var inLabel = true;
-
-            for (var k = j + 1; k < rowNodes.length; k++) {
-              if (isLabelEnd(rowNodes[k], arrowChar)) {
-                inLabel = false;
-                j = k;
-                break;
-              }
-
-              if (isStartOfArrow(rowNodes[k])) {
-                throw new ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[k]);
-              }
-
-              labels[labelNum].body.push(rowNodes[k]);
-            }
-
-            if (inLabel) {
-              // isLabelEnd never returned a true.
-              throw new ParseError("Missing a " + arrowChar + " character to complete a CD arrow.", rowNodes[j]);
-            }
-          }
-        } else {
-          throw new ParseError("Expected one of \"<>AV=|.\" after @", rowNodes[j]);
-        } // Now join the arrow to its labels.
-
-
-        var arrow = cdArrow(arrowChar, labels, parser); // Wrap the arrow in  ParseNode<"styling">.
-        // This is done to match parseArray() behavior.
-
-        var wrappedArrow = {
-          type: "styling",
-          body: [arrow],
-          mode: "math",
-          style: "display" // CD is always displaystyle.
-
-        };
-        row.push(wrappedArrow); // In CD's syntax, cells are implicit. That is, everything that
-        // is not an arrow gets collected into a cell. So create an empty
-        // cell now. It will collect upcoming parseNodes.
-
-        cell = newCell();
-      }
-    }
-
-    if (i % 2 === 0) {
-      // Even-numbered rows consist of: cell, arrow, cell, arrow, ... cell
-      // The last cell is not yet pushed into `row`, so:
-      row.push(cell);
-    } else {
-      // Odd-numbered rows consist of: vert arrow, empty cell, ... vert arrow
-      // Remove the empty cell that was placed at the beginning of `row`.
-      row.shift();
-    }
-
-    row = [];
-    body.push(row);
-  } // End row group
-
-
-  parser.gullet.endGroup(); // End array group defining \\
-
-  parser.gullet.endGroup(); // define column separation.
-
-  var cols = new Array(body[0].length).fill({
-    type: "align",
-    align: "c",
-    pregap: 0.25,
-    // CD package sets \enskip between columns.
-    postgap: 0.25 // So pre and post each get half an \enskip, i.e. 0.25em.
-
-  });
-  return {
-    type: "array",
-    mode: "math",
-    body,
-    arraystretch: 1,
-    addJot: true,
-    rowGaps: [null],
-    cols,
-    colSeparationType: "CD",
-    hLinesBeforeRow: new Array(body.length + 1).fill([])
-  };
-} // The functions below are not available for general use.
-// They are here only for internal use by the {CD} environment in placing labels
-// next to vertical arrows.
-// We don't need any such functions for horizontal arrows because we can reuse
-// the functionality that already exists for extensible arrows.
-
-defineFunction({
-  type: "cdlabel",
-  names: ["\\\\cdleft", "\\\\cdright"],
-  props: {
-    numArgs: 1
-  },
-
-  handler(_ref, args) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    return {
-      type: "cdlabel",
-      mode: parser.mode,
-      side: funcName.slice(4),
-      label: args[0]
-    };
-  },
-
-  htmlBuilder(group, options) {
-    var newOptions = options.havingStyle(options.style.sup());
-    var label = buildCommon.wrapFragment(buildGroup$1(group.label, newOptions, options), options);
-    label.classes.push("cd-label-" + group.side);
-    label.style.bottom = makeEm(0.8 - label.depth); // Zero out label height & depth, so vertical align of arrow is set
-    // by the arrow height, not by the label.
-
-    label.height = 0;
-    label.depth = 0;
-    return label;
-  },
-
-  mathmlBuilder(group, options) {
-    var label = new mathMLTree.MathNode("mrow", [buildGroup(group.label, options)]);
-    label = new mathMLTree.MathNode("mpadded", [label]);
-    label.setAttribute("width", "0");
-
-    if (group.side === "left") {
-      label.setAttribute("lspace", "-1width");
-    } // We have to guess at vertical alignment. We know the arrow is 1.8em tall,
-    // But we don't know the height or depth of the label.
-
-
-    label.setAttribute("voffset", "0.7em");
-    label = new mathMLTree.MathNode("mstyle", [label]);
-    label.setAttribute("displaystyle", "false");
-    label.setAttribute("scriptlevel", "1");
-    return label;
-  }
-
-});
-defineFunction({
-  type: "cdlabelparent",
-  names: ["\\\\cdparent"],
-  props: {
-    numArgs: 1
-  },
-
-  handler(_ref2, args) {
-    var {
-      parser
-    } = _ref2;
-    return {
-      type: "cdlabelparent",
-      mode: parser.mode,
-      fragment: args[0]
-    };
-  },
-
-  htmlBuilder(group, options) {
-    // Wrap the vertical arrow and its labels.
-    // The parent gets position: relative. The child gets position: absolute.
-    // So CSS can locate the label correctly.
-    var parent = buildCommon.wrapFragment(buildGroup$1(group.fragment, options), options);
-    parent.classes.push("cd-vert-arrow");
-    return parent;
-  },
-
-  mathmlBuilder(group, options) {
-    return new mathMLTree.MathNode("mrow", [buildGroup(group.fragment, options)]);
-  }
-
-});
-
-// {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) {
-    var {
-      parser
-    } = _ref;
-    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);
-    var text;
-
-    if (isNaN(code)) {
-      throw new ParseError("\\@char has non-numeric argument " + number); // If we drop IE support, the following code could be replaced with
-      // text = String.fromCodePoint(code)
-    } else if (code < 0 || code >= 0x10ffff) {
-      throw new ParseError("\\@char with invalid code point " + number);
-    } else if (code <= 0xffff) {
-      text = String.fromCharCode(code);
-    } else {
-      // Astral code point; split into surrogate halves
-      code -= 0x10000;
-      text = String.fromCharCode((code >> 10) + 0xd800, (code & 0x3ff) + 0xdc00);
-    }
-
-    return {
-      type: "textord",
-      mode: parser.mode,
-      text: text
-    };
-  }
-
-});
-
-var htmlBuilder$8 = (group, options) => {
-  var elements = buildExpression$1(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 mathmlBuilder$7 = (group, options) => {
-  var inner = 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,
-    argTypes: ["color", "original"]
-  },
-
-  handler(_ref, args) {
-    var {
-      parser
-    } = _ref;
-    var color = assertNodeType(args[0], "color-token").color;
-    var body = args[1];
-    return {
-      type: "color",
-      mode: parser.mode,
-      color,
-      body: ordargument(body)
-    };
-  },
-
-  htmlBuilder: htmlBuilder$8,
-  mathmlBuilder: mathmlBuilder$7
-});
-defineFunction({
-  type: "color",
-  names: ["\\color"],
-  props: {
-    numArgs: 1,
-    allowedInText: true,
-    argTypes: ["color"]
-  },
-
-  handler(_ref2, args) {
-    var {
-      parser,
-      breakOnTokenText
-    } = _ref2;
-    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,
-      body
-    };
-  },
-
-  htmlBuilder: htmlBuilder$8,
-  mathmlBuilder: mathmlBuilder$7
-});
-
-// Row breaks within tabular environments, and line breaks at top level
-
-defineFunction({
-  type: "cr",
-  names: ["\\\\"],
-  props: {
-    numArgs: 0,
-    numOptionalArgs: 0,
-    allowedInText: true
-  },
-
-  handler(_ref, args, optArgs) {
-    var {
-      parser
-    } = _ref;
-    var size = parser.gullet.future().text === "[" ? parser.parseSizeGroup(true) : null;
-    var newLine = !parser.settings.displayMode || !parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode");
-    return {
-      type: "cr",
-      mode: parser.mode,
-      newLine,
-      size: size && assertNodeType(size, "size").value
-    };
-  },
-
-  // The following builders are called only at the top level,
-  // not within tabular/array environments.
-  htmlBuilder(group, options) {
-    var span = buildCommon.makeSpan(["mspace"], [], options);
-
-    if (group.newLine) {
-      span.classes.push("newline");
-
-      if (group.size) {
-        span.style.marginTop = makeEm(calculateSize(group.size, options));
-      }
-    }
-
-    return span;
-  },
-
-  mathmlBuilder(group, options) {
-    var node = new mathMLTree.MathNode("mspace");
-
-    if (group.newLine) {
-      node.setAttribute("linebreak", "newline");
-
-      if (group.size) {
-        node.setAttribute("height", makeEm(calculateSize(group.size, options)));
-      }
-    }
-
-    return node;
-  }
-
-});
-
-var globalMap = {
-  "\\global": "\\global",
-  "\\long": "\\\\globallong",
-  "\\\\globallong": "\\\\globallong",
-  "\\def": "\\gdef",
-  "\\gdef": "\\gdef",
-  "\\edef": "\\xdef",
-  "\\xdef": "\\xdef",
-  "\\let": "\\\\globallet",
-  "\\futurelet": "\\\\globalfuture"
-};
-
-var checkControlSequence = tok => {
-  var name = tok.text;
-
-  if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) {
-    throw new ParseError("Expected a control sequence", tok);
-  }
-
-  return name;
-};
-
-var 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 = (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" // can’t be entered directly
-  ],
-  props: {
-    numArgs: 0,
-    allowedInText: true
-  },
-
-  handler(_ref) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    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 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,
-    primitive: true
-  },
-
-  handler(_ref2) {
-    var {
-      parser,
-      funcName
-    } = _ref2;
-    var tok = parser.gullet.popToken();
-    var name = tok.text;
-
-    if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) {
-      throw new ParseError("Expected a control sequence", tok);
-    }
-
-    var numArgs = 0;
-    var insert;
-    var delimiters = [[]]; // <parameter text> contains no braces
-
-    while (parser.gullet.future().text !== "{") {
-      tok = parser.gullet.popToken();
-
-      if (tok.text === "#") {
-        // If the very last character of the <parameter text> is #, so that
-        // this # is immediately followed by {, TeX will behave as if the {
-        // had been inserted at the right end of both the parameter text
-        // and the replacement text.
-        if (parser.gullet.future().text === "{") {
-          insert = parser.gullet.future();
-          delimiters[numArgs].push("{");
-          break;
-        } // A parameter, the first appearance of # must be followed by 1,
-        // the next by 2, and so on; up to nine #’s are allowed
-
-
-        tok = parser.gullet.popToken();
-
-        if (!/^[1-9]$/.test(tok.text)) {
-          throw new ParseError("Invalid argument number \"" + tok.text + "\"");
-        }
-
-        if (parseInt(tok.text) !== numArgs + 1) {
-          throw new ParseError("Argument number \"" + tok.text + "\" out of order");
-        }
-
-        numArgs++;
-        delimiters.push([]);
-      } else if (tok.text === "EOF") {
-        throw new ParseError("Expected a macro definition");
-      } else {
-        delimiters[numArgs].push(tok.text);
-      }
-    } // replacement text, enclosed in '{' and '}' and properly nested
-
-
-    var {
-      tokens
-    } = parser.gullet.consumeArg();
-
-    if (insert) {
-      tokens.unshift(insert);
-    }
-
-    if (funcName === "\\edef" || funcName === "\\xdef") {
-      tokens = parser.gullet.expandTokens(tokens);
-      tokens.reverse(); // to fit in with stack order
-    } // Final arg is the expansion of the macro
-
-
-    parser.gullet.macros.set(name, {
-      tokens,
-      numArgs,
-      delimiters
-    }, 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" // can’t be entered directly
-  ],
-  props: {
-    numArgs: 0,
-    allowedInText: true,
-    primitive: true
-  },
-
-  handler(_ref3) {
-    var {
-      parser,
-      funcName
-    } = _ref3;
-    var name = 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" // can’t be entered directly
-  ],
-  props: {
-    numArgs: 0,
-    allowedInText: true,
-    primitive: true
-  },
-
-  handler(_ref4) {
-    var {
-      parser,
-      funcName
-    } = _ref4;
-    var name = 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
-    };
-  }
-
-});
-
-/**
- * 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 getMetrics = function getMetrics(symbol, font, mode) {
-  var replace = symbols.math[symbol] && 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 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 = makeEm(shift);
-  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 makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
-  var text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
-  var 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)
- */
-
-
-var 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 makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
-  var inner = mathrmSize(delim, size, mode, options);
-  var 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 a span from a font glyph with the given offset and in the given font.
- * This is used in makeStackedDelim to make the stacking pieces for the delimiter.
- */
-
-
-var makeGlyphSpan = function makeGlyphSpan(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 corner = 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: corner
-  };
-};
-
-var makeInner = function makeInner(ch, height, options) {
-  // Create a span with inline SVG for the inner part of a tall stacked delimiter.
-  var width = fontMetricsData['Size4-Regular'][ch.charCodeAt(0)] ? fontMetricsData['Size4-Regular'][ch.charCodeAt(0)][4] : fontMetricsData['Size1-Regular'][ch.charCodeAt(0)][4];
-  var path = new PathNode("inner", innerPath(ch, Math.round(1000 * height)));
-  var svgNode = new SvgNode([path], {
-    "width": makeEm(width),
-    "height": makeEm(height),
-    // Override CSS rule `.katex svg { width: 100% }`
-    "style": "width:" + makeEm(width),
-    "viewBox": "0 0 " + 1000 * width + " " + Math.round(1000 * height),
-    "preserveAspectRatio": "xMinYMin"
-  });
-  var span = buildCommon.makeSvgSpan([], [svgNode], options);
-  span.height = height;
-  span.style.height = makeEm(height);
-  span.style.width = makeEm(width);
-  return {
-    type: "elem",
-    elem: span
-  };
-}; // Helpers for makeStackedDelim
-
-
-var lapInEms = 0.008;
-var lap = {
-  type: "kern",
-  size: -1 * lapInEms
-};
-var verts = ["|", "\\lvert", "\\rvert", "\\vert"];
-var doubleVerts = ["\\|", "\\lVert", "\\rVert", "\\Vert"];
-/**
- * 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 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;
-  var svgLabel = "";
-  var viewBoxWidth = 0;
-  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 (utils.contains(verts, delim)) {
-    repeat = "\u2223";
-    svgLabel = "vert";
-    viewBoxWidth = 333;
-  } else if (utils.contains(doubleVerts, delim)) {
-    repeat = "\u2225";
-    svgLabel = "doublevert";
-    viewBoxWidth = 556;
-  } else if (delim === "[" || delim === "\\lbrack") {
-    top = "\u23a1";
-    repeat = "\u23a2";
-    bottom = "\u23a3";
-    font = "Size4-Regular";
-    svgLabel = "lbrack";
-    viewBoxWidth = 667;
-  } else if (delim === "]" || delim === "\\rbrack") {
-    top = "\u23a4";
-    repeat = "\u23a5";
-    bottom = "\u23a6";
-    font = "Size4-Regular";
-    svgLabel = "rbrack";
-    viewBoxWidth = 667;
-  } else if (delim === "\\lfloor" || delim === "\u230a") {
-    repeat = top = "\u23a2";
-    bottom = "\u23a3";
-    font = "Size4-Regular";
-    svgLabel = "lfloor";
-    viewBoxWidth = 667;
-  } else if (delim === "\\lceil" || delim === "\u2308") {
-    top = "\u23a1";
-    repeat = bottom = "\u23a2";
-    font = "Size4-Regular";
-    svgLabel = "lceil";
-    viewBoxWidth = 667;
-  } else if (delim === "\\rfloor" || delim === "\u230b") {
-    repeat = top = "\u23a5";
-    bottom = "\u23a6";
-    font = "Size4-Regular";
-    svgLabel = "rfloor";
-    viewBoxWidth = 667;
-  } else if (delim === "\\rceil" || delim === "\u2309") {
-    top = "\u23a4";
-    repeat = bottom = "\u23a5";
-    font = "Size4-Regular";
-    svgLabel = "rceil";
-    viewBoxWidth = 667;
-  } else if (delim === "(" || delim === "\\lparen") {
-    top = "\u239b";
-    repeat = "\u239c";
-    bottom = "\u239d";
-    font = "Size4-Regular";
-    svgLabel = "lparen";
-    viewBoxWidth = 875;
-  } else if (delim === ")" || delim === "\\rparen") {
-    top = "\u239e";
-    repeat = "\u239f";
-    bottom = "\u23a0";
-    font = "Size4-Regular";
-    svgLabel = "rparen";
-    viewBoxWidth = 875;
-  } 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 = getMetrics(top, font, mode);
-  var topHeightTotal = topMetrics.height + topMetrics.depth;
-  var repeatMetrics = getMetrics(repeat, font, mode);
-  var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
-  var bottomMetrics = getMetrics(bottom, font, mode);
-  var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
-  var middleHeightTotal = 0;
-  var middleFactor = 1;
-
-  if (middle !== null) {
-    var middleMetrics = getMetrics(middle, font, mode);
-    middleHeightTotal = middleMetrics.height + middleMetrics.depth;
-    middleFactor = 2; // repeat symmetrically above and below middle
-  } // Calculate 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; // Now, we start building the pieces that will go into the vlist
-  // Keep a list of the pieces of the stacked delimiter
-
-  var stack = [];
-
-  if (svgLabel.length > 0) {
-    // Instead of stacking glyphs, create a single SVG.
-    // This evades browser problems with imprecise positioning of spans.
-    var midHeight = realHeightTotal - topHeightTotal - bottomHeightTotal;
-    var viewBoxHeight = Math.round(realHeightTotal * 1000);
-    var pathStr = tallDelim(svgLabel, Math.round(midHeight * 1000));
-    var path = new PathNode(svgLabel, pathStr);
-    var width = (viewBoxWidth / 1000).toFixed(3) + "em";
-    var height = (viewBoxHeight / 1000).toFixed(3) + "em";
-    var svg = new SvgNode([path], {
-      "width": width,
-      "height": height,
-      "viewBox": "0 0 " + viewBoxWidth + " " + viewBoxHeight
-    });
-    var wrapper = buildCommon.makeSvgSpan([], [svg], options);
-    wrapper.height = viewBoxHeight / 1000;
-    wrapper.style.width = width;
-    wrapper.style.height = height;
-    stack.push({
-      type: "elem",
-      elem: wrapper
-    });
-  } else {
-    // Stack glyphs
-    // Start by adding the bottom symbol
-    stack.push(makeGlyphSpan(bottom, font, mode));
-    stack.push(lap); // overlap
-
-    if (middle === null) {
-      // The middle section will be an SVG. Make it an extra 0.016em tall.
-      // We'll overlap by 0.008em at top and bottom.
-      var innerHeight = realHeightTotal - topHeightTotal - bottomHeightTotal + 2 * lapInEms;
-      stack.push(makeInner(repeat, innerHeight, options));
-    } else {
-      // When there is a middle bit, we need the middle part and two repeated
-      // sections
-      var _innerHeight = (realHeightTotal - topHeightTotal - bottomHeightTotal - middleHeightTotal) / 2 + 2 * lapInEms;
-
-      stack.push(makeInner(repeat, _innerHeight, options)); // Now insert the middle of the brace.
-
-      stack.push(lap);
-      stack.push(makeGlyphSpan(middle, font, mode));
-      stack.push(lap);
-      stack.push(makeInner(repeat, _innerHeight, options));
-    } // Add the top symbol
-
-
-    stack.push(lap);
-    stack.push(makeGlyphSpan(top, font, mode));
-  } // Finally, build the vlist
-
-
-  var newOptions = options.havingBaseStyle(Style$1.TEXT);
-  var inner = buildCommon.makeVList({
-    positionType: "bottom",
-    positionData: depth,
-    children: stack
-  }, newOptions);
-  return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), Style$1.TEXT, options, classes);
-}; // All surds have 0.08em padding above the vinculum 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 sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraVinculum, options) {
-  var path = sqrtPath(sqrtName, extraVinculum, viewBoxHeight);
-  var pathNode = new PathNode(sqrtName, path);
-  var svg = new SvgNode([pathNode], {
-    // Note: 1000:1 ratio of viewBox to document em width.
-    "width": "400em",
-    "height": makeEm(height),
-    "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 vinculum.
-  // If Settings.minRuleThickness is larger than that, we add extraVinculum.
-
-  var extraVinculum = 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 vinculum. 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 * extraVinculum + 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 + extraVinculum + emPad) / sizeMultiplier;
-    texHeight = (1.00 + extraVinculum) / sizeMultiplier;
-    span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraVinculum, 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] + extraVinculum) / sizeMultiplier;
-    spanHeight = (sizeToMaxHeight[delim.size] + extraVinculum + emPad) / sizeMultiplier;
-    span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraVinculum, 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 + extraVinculum + emPad;
-    texHeight = height + extraVinculum;
-    viewBoxHeight = Math.floor(1000 * height + extraVinculum) + vbPad;
-    span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraVinculum, options);
-    span.style.minWidth = "0.742em";
-    advanceWidth = 1.056;
-  }
-
-  span.height = texHeight;
-  span.style.height = makeEm(spanHeight);
-  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 + extraVinculum) * 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 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
-var 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
-
-var 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
-
-var 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.
- */
-
-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 = 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 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 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.
- */
-
-
-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 makeCustomSizedDelim(delim, totalHeight, true, options, mode, classes);
-};
-
-var delimiter = {
-  sqrtImage: makeSqrtImage,
-  sizedDelim: makeSizedDelim,
-  sizeToMaxHeight: sizeToMaxHeight,
-  customSizedDelim: makeCustomSizedDelim,
-  leftRightDelim: makeLeftRightDelim
-};
-
-// 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 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,
-    argTypes: ["primitive"]
-  },
-  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: (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 => {
-    var children = [];
-
-    if (group.delim !== ".") {
-      children.push(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");
-    }
-
-    node.setAttribute("stretchy", "true");
-    var size = makeEm(delimiter.sizeToMaxHeight[group.size]);
-    node.setAttribute("minsize", size);
-    node.setAttribute("maxsize", size);
-    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,
-    primitive: true
-  },
-  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 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,
-    primitive: true
-  },
-  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,
-      left: delim.text,
-      right: right.delim,
-      rightColor: right.color
-    };
-  },
-  htmlBuilder: (group, options) => {
-    assertParsed(group); // Build the inner expression
-
-    var inner = buildExpression$1(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: (group, options) => {
-    assertParsed(group);
-    var inner = buildExpression(group.body, options);
-
-    if (group.left !== ".") {
-      var leftNode = new mathMLTree.MathNode("mo", [makeText(group.left, group.mode)]);
-      leftNode.setAttribute("fence", "true");
-      inner.unshift(leftNode);
-    }
-
-    if (group.right !== ".") {
-      var 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,
-    primitive: true
-  },
-  handler: (context, args) => {
-    var 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) => {
-    var middleDelim;
-
-    if (group.delim === ".") {
-      middleDelim = makeNullDelimiter(options, []);
-    } else {
-      middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []);
-      var 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 stretch 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 === "|" ? makeText("|", "text") : 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;
-  }
-});
-
-var htmlBuilder$7 = (group, options) => {
-  // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox, \phase
-  // Some groups can return document fragments.  Handle those by wrapping
-  // them in a span.
-  var inner = buildCommon.wrapFragment(buildGroup$1(group.body, options), options);
-  var label = group.label.slice(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 if (label === "phase") {
-    // Set a couple of dimensions from the steinmetz package.
-    var lineWeight = calculateSize({
-      number: 0.6,
-      unit: "pt"
-    }, options);
-    var clearance = calculateSize({
-      number: 0.35,
-      unit: "ex"
-    }, options); // Prevent size changes like \Huge from affecting line thickness
-
-    var newOptions = options.havingBaseSizing();
-    scale = scale / newOptions.sizeMultiplier;
-    var angleHeight = inner.height + inner.depth + lineWeight + clearance; // Reserve a left pad for the angle.
-
-    inner.style.paddingLeft = makeEm(angleHeight / 2 + lineWeight); // Create an SVG
-
-    var viewBoxHeight = Math.floor(1000 * angleHeight * scale);
-    var path = phasePath(viewBoxHeight);
-    var svgNode = new SvgNode([new PathNode("phase", path)], {
-      "width": "400em",
-      "height": makeEm(viewBoxHeight / 1000),
-      "viewBox": "0 0 400000 " + viewBoxHeight,
-      "preserveAspectRatio": "xMinYMin slice"
-    }); // Wrap it in a span with overflow: hidden.
-
-    img = buildCommon.makeSvgSpan(["hide-tail"], [svgNode], options);
-    img.style.height = makeEm(angleHeight);
-    imgShift = inner.depth + lineWeight + clearance;
-  } else {
-    // Add horizontal padding
-    if (/cancel/.test(label)) {
-      if (!isSingleChar) {
-        inner.classes.push("cancel-pad");
-      }
-    } else if (label === "angl") {
-      inner.classes.push("anglpad");
-    } else {
-      inner.classes.push("boxpad");
-    } // Add vertical padding
-
-
-    var topPad = 0;
-    var bottomPad = 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.
-      );
-      topPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
-      bottomPad = topPad;
-    } else if (label === "angl") {
-      ruleThickness = Math.max(options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
-      topPad = 4 * ruleThickness; // gap = 3 × line, plus the line itself.
-
-      bottomPad = Math.max(0, 0.25 - inner.depth);
-    } else {
-      topPad = isSingleChar ? 0.2 : 0;
-      bottomPad = topPad;
-    }
-
-    img = stretchy.encloseSpan(inner, label, topPad, bottomPad, options);
-
-    if (/fbox|boxed|fcolorbox/.test(label)) {
-      img.style.borderStyle = "solid";
-      img.style.borderWidth = makeEm(ruleThickness);
-    } else if (label === "angl" && ruleThickness !== 0.049) {
-      img.style.borderTopWidth = makeEm(ruleThickness);
-      img.style.borderRightWidth = makeEm(ruleThickness);
-    }
-
-    imgShift = inner.depth + bottomPad;
-
-    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 {
-    var classes = /cancel|phase/.test(label) ? ["svg-align"] : [];
-    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: classes
-      }]
-    }, 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 mathmlBuilder$6 = (group, options) => {
-  var fboxsep = 0;
-  var node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildGroup(group.body, options)]);
-
-  switch (group.label) {
-    case "\\cancel":
-      node.setAttribute("notation", "updiagonalstrike");
-      break;
-
-    case "\\bcancel":
-      node.setAttribute("notation", "downdiagonalstrike");
-      break;
-
-    case "\\phase":
-      node.setAttribute("notation", "phasorangle");
-      break;
-
-    case "\\sout":
-      node.setAttribute("notation", "horizontalstrike");
-      break;
-
-    case "\\fbox":
-      node.setAttribute("notation", "box");
-      break;
-
-    case "\\angl":
-      node.setAttribute("notation", "actuarial");
-      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,
-    argTypes: ["color", "text"]
-  },
-
-  handler(_ref, args, optArgs) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var color = assertNodeType(args[0], "color-token").color;
-    var body = args[1];
-    return {
-      type: "enclose",
-      mode: parser.mode,
-      label: funcName,
-      backgroundColor: color,
-      body
-    };
-  },
-
-  htmlBuilder: htmlBuilder$7,
-  mathmlBuilder: mathmlBuilder$6
-});
-defineFunction({
-  type: "enclose",
-  names: ["\\fcolorbox"],
-  props: {
-    numArgs: 3,
-    allowedInText: true,
-    argTypes: ["color", "color", "text"]
-  },
-
-  handler(_ref2, args, optArgs) {
-    var {
-      parser,
-      funcName
-    } = _ref2;
-    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,
-      borderColor,
-      body
-    };
-  },
-
-  htmlBuilder: htmlBuilder$7,
-  mathmlBuilder: mathmlBuilder$6
-});
-defineFunction({
-  type: "enclose",
-  names: ["\\fbox"],
-  props: {
-    numArgs: 1,
-    argTypes: ["hbox"],
-    allowedInText: true
-  },
-
-  handler(_ref3, args) {
-    var {
-      parser
-    } = _ref3;
-    return {
-      type: "enclose",
-      mode: parser.mode,
-      label: "\\fbox",
-      body: args[0]
-    };
-  }
-
-});
-defineFunction({
-  type: "enclose",
-  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout", "\\phase"],
-  props: {
-    numArgs: 1
-  },
-
-  handler(_ref4, args) {
-    var {
-      parser,
-      funcName
-    } = _ref4;
-    var body = args[0];
-    return {
-      type: "enclose",
-      mode: parser.mode,
-      label: funcName,
-      body
-    };
-  },
-
-  htmlBuilder: htmlBuilder$7,
-  mathmlBuilder: mathmlBuilder$6
-});
-defineFunction({
-  type: "enclose",
-  names: ["\\angl"],
-  props: {
-    numArgs: 1,
-    argTypes: ["hbox"],
-    allowedInText: false
-  },
-
-  handler(_ref5, args) {
-    var {
-      parser
-    } = _ref5;
-    return {
-      type: "enclose",
-      mode: parser.mode,
-      label: "\\angl",
-      body: args[0]
-    };
-  }
-
-});
-
-/**
- * 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,
-    names,
-    props,
-    handler,
-    htmlBuilder,
-    mathmlBuilder
-  } = _ref;
-  // Set default values of environments.
-  var data = {
-    type,
-    numArgs: props.numArgs || 0,
-    allowedInText: false,
-    numOptionalArgs: 0,
-    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.
-    _environments[names[i]] = data;
-  }
-
-  if (htmlBuilder) {
-    _htmlGroupBuilders[type] = htmlBuilder;
-  }
-
-  if (mathmlBuilder) {
-    _mathmlGroupBuilders[type] = mathmlBuilder;
-  }
-}
-
-/**
- * All registered global/built-in macros.
- * `macros.js` exports this same dictionary again and makes it public.
- * `Parser.js` requires this dictionary via `macros.js`.
- */
-var _macros = {}; // This function might one day accept an additional argument and do more things.
-
-function defineMacro(name, body) {
-  _macros[name] = body;
-}
-
-// Helper functions
-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;
-
-  if (nxt === "\\relax") {
-    // \relax is an artifact of the \cr macro below
-    parser.consume();
-    parser.consumeSpaces();
-    nxt = parser.fetch().text;
-  }
-
-  while (nxt === "\\hline" || nxt === "\\hdashline") {
-    parser.consume();
-    hlineInfo.push(nxt === "\\hdashline");
-    parser.consumeSpaces();
-    nxt = parser.fetch().text;
-  }
-
-  return hlineInfo;
-}
-
-var validateAmsEnvironmentContext = context => {
-  var settings = context.parser.settings;
-
-  if (!settings.displayMode) {
-    throw new ParseError("{" + context.envName + "} can be used only in" + " display mode.");
-  }
-}; // autoTag (an argument to parseArray) can be one of three values:
-// * undefined: Regular (not-top-level) array; no tags on each row
-// * true: Automatic equation numbering, overridable by \tag
-// * false: Tags allowed on each row, but no automatic numbering
-// This function *doesn't* work with the "split" environment name.
-
-
-function getAutoTag(name) {
-  if (name.indexOf("ed") === -1) {
-    return name.indexOf("*") === -1;
-  } // return undefined;
-
-}
-/**
- * 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,
-    addJot,
-    cols,
-    arraystretch,
-    colSeparationType,
-    autoTag,
-    singleRow,
-    emptySingleRow,
-    maxNumCols,
-    leqno
-  } = _ref;
-  parser.gullet.beginGroup();
-
-  if (!singleRow) {
-    // \cr is equivalent to \\ without the optional size argument (see below)
-    // TODO: provide helpful error when \cr is used outside array environment
-    parser.gullet.macros.set("\\cr", "\\\\\\relax");
-  } // 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 ParseError("Invalid \\arraystretch: " + stretch);
-      }
-    }
-  } // Start group for first cell
-
-
-  parser.gullet.beginGroup();
-  var row = [];
-  var body = [row];
-  var rowGaps = [];
-  var hLinesBeforeRow = [];
-  var tags = autoTag != null ? [] : undefined; // amsmath uses \global\@eqnswtrue and \global\@eqnswfalse to represent
-  // whether this row should have an equation number.  Simulate this with
-  // a \@eqnsw macro set to 1 or 0.
-
-  function beginRow() {
-    if (autoTag) {
-      parser.gullet.macros.set("\\@eqnsw", "1", true);
-    }
-  }
-
-  function endRow() {
-    if (tags) {
-      if (parser.gullet.macros.get("\\df@tag")) {
-        tags.push(parser.subparse([new Token("\\df@tag")]));
-        parser.gullet.macros.set("\\df@tag", undefined, true);
-      } else {
-        tags.push(Boolean(autoTag) && parser.gullet.macros.get("\\@eqnsw") === "1");
-      }
-    }
-  }
-
-  beginRow(); // 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, singleRow ? "\\end" : "\\\\");
-    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);
-    var next = parser.fetch().text;
-
-    if (next === "&") {
-      if (maxNumCols && row.length === maxNumCols) {
-        if (singleRow || colSeparationType) {
-          // {equation} or {split}
-          throw new ParseError("Too many tab characters: &", parser.nextToken);
-        } else {
-          // {array} environment
-          parser.settings.reportNonstrict("textEnv", "Too few columns " + "specified in the {array} column argument.");
-        }
-      }
-
-      parser.consume();
-    } else if (next === "\\end") {
-      endRow(); // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
-      // the last line is empty.  However, AMS environments keep the
-      // empty row if it's the only one.
-      // NOTE: Currently, `cell` is the last item added into `row`.
-
-      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0 && (body.length > 1 || !emptySingleRow)) {
-        body.pop();
-      }
-
-      if (hLinesBeforeRow.length < body.length + 1) {
-        hLinesBeforeRow.push([]);
-      }
-
-      break;
-    } else if (next === "\\\\") {
-      parser.consume();
-      var size = void 0; // \def\Let@{\let\\\math@cr}
-      // \def\math@cr{...\math@cr@}
-      // \def\math@cr@{\new@ifnextchar[\math@cr@@{\math@cr@@[\z@]}}
-      // \def\math@cr@@[#1]{...\math@cr@@@...}
-      // \def\math@cr@@@{\cr}
-
-      if (parser.gullet.future().text !== " ") {
-        size = parser.parseSizeGroup(true);
-      }
-
-      rowGaps.push(size ? size.value : null);
-      endRow(); // check for \hline(s) following the row separator
-
-      hLinesBeforeRow.push(getHLines(parser));
-      row = [];
-      body.push(row);
-      beginRow();
-    } else {
-      throw new ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
-    }
-  } // End cell group
-
-
-  parser.gullet.endGroup(); // End array group defining \cr
-
-  parser.gullet.endGroup();
-  return {
-    type: "array",
-    mode: parser.mode,
-    addJot,
-    arraystretch,
-    body,
-    cols,
-    rowGaps,
-    hskipBeforeAndAfter,
-    hLinesBeforeRow,
-    colSeparationType,
-    tags,
-    leqno
-  };
-} // 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.slice(0, 1) === "d") {
-    return "display";
-  } else {
-    return "text";
-  }
-}
-
-var htmlBuilder$6 = 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(Style$1.SCRIPT).sizeMultiplier;
-    arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier);
-  } // Vertical spacing
-
-
-  var baselineskip = group.colSeparationType === "CD" ? calculateSize({
-    number: 3,
-    unit: "ex"
-  }, options) : 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 = buildGroup$1(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 = 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;
-  var tagSpans = [];
-
-  if (group.tags && group.tags.some(tag => tag)) {
-    // An environment with manual tags and/or automatic equation numbers.
-    // Create node(s), the latter of which trigger CSS counter increment.
-    for (r = 0; r < nr; ++r) {
-      var rw = body[r];
-      var shift = rw.pos - offset;
-      var tag = group.tags[r];
-      var tagSpan = void 0;
-
-      if (tag === true) {
-        // automatic numbering
-        tagSpan = buildCommon.makeSpan(["eqn-num"], [], options);
-      } else if (tag === false) {
-        // \nonumber/\notag or starred environment
-        tagSpan = buildCommon.makeSpan([], [], options);
-      } else {
-        // manual \tag
-        tagSpan = buildCommon.makeSpan([], buildExpression$1(tag, options, true), options);
-      }
-
-      tagSpan.depth = rw.depth;
-      tagSpan.height = rw.height;
-      tagSpans.push({
-        type: "elem",
-        elem: tagSpan,
-        shift
-      });
-    }
-  }
-
-  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 = makeEm(options.fontMetrics().doubleRuleSep);
-        cols.push(colSep);
-      }
-
-      if (colDescr.separator === "|" || colDescr.separator === ":") {
-        var lineType = colDescr.separator === "|" ? "solid" : "dashed";
-        var separator = buildCommon.makeSpan(["vertical-separator"], [], options);
-        separator.style.height = makeEm(totalHeight);
-        separator.style.borderRightWidth = makeEm(ruleThickness);
-        separator.style.borderRightStyle = lineType;
-        separator.style.margin = "0 " + makeEm(-ruleThickness / 2);
-
-        var _shift = totalHeight - offset;
-
-        if (_shift) {
-          separator.style.verticalAlign = makeEm(-_shift);
-        }
-
-        cols.push(separator);
-      } else {
-        throw new 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 = makeEm(sepwidth);
-        cols.push(colSep);
-      }
-    }
-
-    var col = [];
-
-    for (r = 0; r < nr; ++r) {
-      var row = body[r];
-      var elem = row[c];
-
-      if (!elem) {
-        continue;
-      }
-
-      var _shift2 = row.pos - offset;
-
-      elem.depth = row.depth;
-      elem.height = row.height;
-      col.push({
-        type: "elem",
-        elem: elem,
-        shift: _shift2
-      });
-    }
-
-    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 = makeEm(sepwidth);
-        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);
-  }
-
-  if (tagSpans.length === 0) {
-    return buildCommon.makeSpan(["mord"], [body], options);
-  } else {
-    var eqnNumCol = buildCommon.makeVList({
-      positionType: "individualShift",
-      children: tagSpans
-    }, options);
-    eqnNumCol = buildCommon.makeSpan(["tag"], [eqnNumCol], options);
-    return buildCommon.makeFragment([body, eqnNumCol]);
-  }
-};
-
-var alignMap = {
-  c: "center ",
-  l: "left ",
-  r: "right "
-};
-
-var mathmlBuilder$5 = function mathmlBuilder(group, options) {
-  var tbl = [];
-  var glue = new mathMLTree.MathNode("mtd", [], ["mtr-glue"]);
-  var tag = new mathMLTree.MathNode("mtd", [], ["mml-eqn-num"]);
-
-  for (var i = 0; i < group.body.length; i++) {
-    var rw = group.body[i];
-    var row = [];
-
-    for (var j = 0; j < rw.length; j++) {
-      row.push(new mathMLTree.MathNode("mtd", [buildGroup(rw[j], options)]));
-    }
-
-    if (group.tags && group.tags[i]) {
-      row.unshift(glue);
-      row.push(glue);
-
-      if (group.leqno) {
-        row.unshift(tag);
-      } else {
-        row.push(tag);
-      }
-    }
-
-    tbl.push(new mathMLTree.MathNode("mtr", row));
-  }
-
-  var table = new mathMLTree.MathNode("mtable", tbl); // 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 empirically. They produce an array
-  // similar to LaTeX and in which content does not interfere with \hlines.
-
-  var gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
-  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
-  table.setAttribute("rowspacing", makeEm(gap)); // 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 _i2 = 1; _i2 < _cols.length; _i2++) {
-      spacing += _i2 % 2 ? "0em " : "1em ";
-    }
-
-    table.setAttribute("columnspacing", spacing.trim());
-  } else if (group.colSeparationType === "alignat" || group.colSeparationType === "gather") {
-    table.setAttribute("columnspacing", "0em");
-  } else if (group.colSeparationType === "small") {
-    table.setAttribute("columnspacing", "0.2778em");
-  } else if (group.colSeparationType === "CD") {
-    table.setAttribute("columnspacing", "0.5em");
-  } 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 _i3 = 1; _i3 < hlines.length - 1; _i3++) {
-    rowLines += hlines[_i3].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
-    : hlines[_i3][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 align, align*, aligned, alignat, alignat*, alignedat.
-
-
-var alignedHandler = function alignedHandler(context, args) {
-  if (context.envName.indexOf("ed") === -1) {
-    validateAmsEnvironmentContext(context);
-  }
-
-  var cols = [];
-  var separationType = context.envName.indexOf("at") > -1 ? "alignat" : "align";
-  var isSplit = context.envName === "split";
-  var res = parseArray(context.parser, {
-    cols,
-    addJot: true,
-    autoTag: isSplit ? undefined : getAutoTag(context.envName),
-    emptySingleRow: true,
-    colSeparationType: separationType,
-    maxNumCols: isSplit ? 2 : undefined,
-    leqno: context.parser.settings.leqno
-  }, "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 _i4 = 1; _i4 < row.length; _i4 += 2) {
-      // Modify ordgroup node within styling node
-      var styling = assertNodeType(row[_i4], "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 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 _i5 = 0; _i5 < numCols; ++_i5) {
-    var align = "r";
-    var pregap = 0;
-
-    if (_i5 % 2 === 1) {
-      align = "l";
-    } else if (_i5 > 0 && isAligned) {
-      // "aligned" mode.
-      pregap = 1; // add one \quad
-    }
-
-    cols[_i5] = {
-      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.
-    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 ParseError("Unknown column alignment: " + ca, nde);
-    });
-    var res = {
-      cols,
-      hskipBeforeAndAfter: true,
-      // \@preamble in lttab.dtx
-      maxNumCols: cols.length
-    };
-    return parseArray(context.parser, res, dCellStyle(context.envName));
-  },
-
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-}); // The matrix environments of amsmath builds on the array environment
-// of LaTeX, which is discussed above.
-// The mathtools package adds starred versions of the same environments.
-// These have an optional argument to choose left|center|right justification.
-
-defineEnvironment({
-  type: "array",
-  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix", "matrix*", "pmatrix*", "bmatrix*", "Bmatrix*", "vmatrix*", "Vmatrix*"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(context) {
-    var delimiters = {
-      "matrix": null,
-      "pmatrix": ["(", ")"],
-      "bmatrix": ["[", "]"],
-      "Bmatrix": ["\\{", "\\}"],
-      "vmatrix": ["|", "|"],
-      "Vmatrix": ["\\Vert", "\\Vert"]
-    }[context.envName.replace("*", "")]; // \hskip -\arraycolsep in amsmath
-
-    var colAlign = "c";
-    var payload = {
-      hskipBeforeAndAfter: false,
-      cols: [{
-        type: "align",
-        align: colAlign
-      }]
-    };
-
-    if (context.envName.charAt(context.envName.length - 1) === "*") {
-      // It's one of the mathtools starred functions.
-      // Parse the optional alignment argument.
-      var parser = context.parser;
-      parser.consumeSpaces();
-
-      if (parser.fetch().text === "[") {
-        parser.consume();
-        parser.consumeSpaces();
-        colAlign = parser.fetch().text;
-
-        if ("lcr".indexOf(colAlign) === -1) {
-          throw new ParseError("Expected l or c or r", parser.nextToken);
-        }
-
-        parser.consume();
-        parser.consumeSpaces();
-        parser.expect("]");
-        parser.consume();
-        payload.cols = [{
-          type: "align",
-          align: colAlign
-        }];
-      }
-    }
-
-    var res = parseArray(context.parser, payload, dCellStyle(context.envName)); // Populate cols with the correct number of column alignment specs.
-
-    var numCols = Math.max(0, ...res.body.map(row => row.length));
-    res.cols = new Array(numCols).fill({
-      type: "align",
-      align: colAlign
-    });
-    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$6,
-  mathmlBuilder: mathmlBuilder$5
-});
-defineEnvironment({
-  type: "array",
-  names: ["smallmatrix"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(context) {
-    var payload = {
-      arraystretch: 0.5
-    };
-    var res = parseArray(context.parser, payload, "script");
-    res.colSeparationType = "small";
-    return res;
-  },
-
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-});
-defineEnvironment({
-  type: "array",
-  names: ["subarray"],
-  props: {
-    numArgs: 1
-  },
-
-  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 ParseError("Unknown column alignment: " + ca, nde);
-    });
-
-    if (cols.length > 1) {
-      throw new ParseError("{subarray} can contain only one column");
-    }
-
-    var 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$6,
-  mathmlBuilder: mathmlBuilder$5
-}); // 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) {
-    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: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-}); // In the align environment, one uses ampersands, &, to specify number of
-// columns in each row, and to locate spacing between each column.
-// align gets automatic numbering. align* and aligned do not.
-// The alignedat environment can be used in math mode.
-// Note that we assume \nomallineskiplimit to be zero,
-// so that \strut@ is the same as \strut.
-
-defineEnvironment({
-  type: "array",
-  names: ["align", "align*", "aligned", "split"],
-  props: {
-    numArgs: 0
-  },
-  handler: alignedHandler,
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-}); // 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", "gather", "gather*"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(context) {
-    if (utils.contains(["gather", "gather*"], context.envName)) {
-      validateAmsEnvironmentContext(context);
-    }
-
-    var res = {
-      cols: [{
-        type: "align",
-        align: "c"
-      }],
-      addJot: true,
-      colSeparationType: "gather",
-      autoTag: getAutoTag(context.envName),
-      emptySingleRow: true,
-      leqno: context.parser.settings.leqno
-    };
-    return parseArray(context.parser, res, "display");
-  },
-
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-}); // 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: ["alignat", "alignat*", "alignedat"],
-  props: {
-    numArgs: 1
-  },
-  handler: alignedHandler,
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-});
-defineEnvironment({
-  type: "array",
-  names: ["equation", "equation*"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(context) {
-    validateAmsEnvironmentContext(context);
-    var res = {
-      autoTag: getAutoTag(context.envName),
-      emptySingleRow: true,
-      singleRow: true,
-      maxNumCols: 1,
-      leqno: context.parser.settings.leqno
-    };
-    return parseArray(context.parser, res, "display");
-  },
-
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-});
-defineEnvironment({
-  type: "array",
-  names: ["CD"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(context) {
-    validateAmsEnvironmentContext(context);
-    return parseCD(context.parser);
-  },
-
-  htmlBuilder: htmlBuilder$6,
-  mathmlBuilder: mathmlBuilder$5
-});
-defineMacro("\\nonumber", "\\gdef\\@eqnsw{0}");
-defineMacro("\\notag", "\\nonumber"); // 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");
-  }
-
-});
-
-var environments = _environments;
-
-// defineEnvironment definitions.
-
-defineFunction({
-  type: "environment",
-  names: ["\\begin", "\\end"],
-  props: {
-    numArgs: 1,
-    argTypes: ["text"]
-  },
-
-  handler(_ref, args) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var nameGroup = args[0];
-
-    if (nameGroup.type !== "ordgroup") {
-      throw new 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 (!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.
-
-
-      var env = environments[envName];
-      var {
-        args: _args,
-        optArgs
-      } = parser.parseArguments("\\begin{" + envName + "}", env);
-      var context = {
-        mode: parser.mode,
-        envName,
-        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 ParseError("Mismatch: \\begin{" + envName + "} matched by \\end{" + end.name + "}", endNameToken);
-      } // $FlowFixMe, "environment" handler returns an environment ParseNode
-
-
-      return result;
-    }
-
-    return {
-      type: "environment",
-      mode: parser.mode,
-      name: envName,
-      nameGroup
-    };
-  }
-
-});
-
-// TODO(kevinb): implement \\sl and \\sc
-
-var htmlBuilder$5 = (group, options) => {
-  var font = group.font;
-  var newOptions = options.withFont(font);
-  return buildGroup$1(group.body, newOptions);
-};
-
-var mathmlBuilder$4 = (group, options) => {
-  var font = group.font;
-  var newOptions = options.withFont(font);
-  return 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,
-    allowedInArgument: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var body = normalizeArgument(args[0]);
-    var 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$4
-});
-defineFunction({
-  type: "mclass",
-  names: ["\\boldsymbol", "\\bm"],
-  props: {
-    numArgs: 1
-  },
-  handler: (_ref2, args) => {
-    var {
-      parser
-    } = _ref2;
-    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
-      }],
-      isCharacterBox: isCharacterBox
-    };
-  }
-}); // Old font changing functions
-
-defineFunction({
-  type: "font",
-  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"],
-  props: {
-    numArgs: 0,
-    allowedInText: true
-  },
-  handler: (_ref3, args) => {
-    var {
-      parser,
-      funcName,
-      breakOnTokenText
-    } = _ref3;
-    var {
-      mode
-    } = parser;
-    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
-      }
-    };
-  },
-  htmlBuilder: htmlBuilder$5,
-  mathmlBuilder: mathmlBuilder$4
-});
-
-var 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 >= 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;
-};
-
-var htmlBuilder$4 = (group, options) => {
-  // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
-  var style = adjustStyle(group.size, options.style);
-  var nstyle = style.fracNum();
-  var dstyle = style.fracDen();
-  var newOptions;
-  newOptions = options.havingStyle(nstyle);
-  var numerm = buildGroup$1(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 = buildGroup$1(group.denom, newOptions, options);
-  var rule;
-  var ruleWidth;
-  var 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
-
-
-  var numShift;
-  var clearance;
-  var 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;
-  }
-
-  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 === Style$1.DISPLAY.size) {
-    delimSize = options.fontMetrics().delim1;
-  } else if (style.size === Style$1.SCRIPTSCRIPT.size) {
-    delimSize = options.havingStyle(Style$1.SCRIPT).fontMetrics().delim2;
-  } 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 mathmlBuilder$3 = (group, options) => {
-  var node = new mathMLTree.MathNode("mfrac", [buildGroup(group.numer, options), buildGroup(group.denom, options)]);
-
-  if (!group.hasBarLine) {
-    node.setAttribute("linethickness", "0px");
-  } else if (group.barSize) {
-    var ruleWidth = calculateSize(group.barSize, options);
-    node.setAttribute("linethickness", makeEm(ruleWidth));
-  }
-
-  var style = adjustStyle(group.size, options.style);
-
-  if (style.size !== options.style.size) {
-    node = new mathMLTree.MathNode("mstyle", [node]);
-    var isDisplay = style.size === Style$1.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 makeRow(withDelims);
-  }
-
-  return node;
-};
-
-defineFunction({
-  type: "genfrac",
-  names: ["\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
-  "\\\\bracefrac", "\\\\brackfrac" // ditto
-  ],
-  props: {
-    numArgs: 2,
-    allowedInArgument: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var numer = args[0];
-    var denom = args[1];
-    var hasBarLine;
-    var leftDelim = null;
-    var rightDelim = null;
-    var size = "auto";
-
-    switch (funcName) {
-      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 "\\dfrac":
-      case "\\dbinom":
-        size = "display";
-        break;
-
-      case "\\tfrac":
-      case "\\tbinom":
-        size = "text";
-        break;
-    }
-
-    return {
-      type: "genfrac",
-      mode: parser.mode,
-      continued: false,
-      numer,
-      denom,
-      hasBarLine,
-      leftDelim,
-      rightDelim,
-      size,
-      barSize: null
-    };
-  },
-  htmlBuilder: htmlBuilder$4,
-  mathmlBuilder: mathmlBuilder$3
-});
-defineFunction({
-  type: "genfrac",
-  names: ["\\cfrac"],
-  props: {
-    numArgs: 2
-  },
-  handler: (_ref2, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref2;
-    var numer = args[0];
-    var denom = args[1];
-    return {
-      type: "genfrac",
-      mode: parser.mode,
-      continued: true,
-      numer,
-      denom,
-      hasBarLine: true,
-      leftDelim: null,
-      rightDelim: null,
-      size: "display",
-      barSize: null
-    };
-  }
-}); // 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(_ref3) {
-    var {
-      parser,
-      funcName,
-      token
-    } = _ref3;
-    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,
-      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,
-    allowedInArgument: true,
-    argTypes: ["math", "math", "size", "text", "math", "math"]
-  },
-
-  handler(_ref4, args) {
-    var {
-      parser
-    } = _ref4;
-    var numer = args[4];
-    var denom = args[5]; // Look into the parse nodes to get the desired delimiters.
-
-    var leftNode = normalizeArgument(args[0]);
-    var leftDelim = leftNode.type === "atom" && leftNode.family === "open" ? delimFromValue(leftNode.text) : null;
-    var rightNode = normalizeArgument(args[1]);
-    var rightDelim = rightNode.type === "atom" && rightNode.family === "close" ? 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 = 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,
-      denom,
-      continued: false,
-      hasBarLine,
-      barSize,
-      leftDelim,
-      rightDelim,
-      size
-    };
-  },
-
-  htmlBuilder: htmlBuilder$4,
-  mathmlBuilder: mathmlBuilder$3
-}); // \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(_ref5, args) {
-    var {
-      parser,
-      funcName,
-      token
-    } = _ref5;
-    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: (_ref6, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref6;
-    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,
-      denom,
-      continued: false,
-      hasBarLine,
-      barSize,
-      leftDelim: null,
-      rightDelim: null,
-      size: "auto"
-    };
-  },
-  htmlBuilder: htmlBuilder$4,
-  mathmlBuilder: mathmlBuilder$3
-});
-
-// NOTE: Unlike most `htmlBuilder`s, this one handles not only "horizBrace", but
-// also "supsub" since an over/underbrace can affect super/subscripting.
-var htmlBuilder$3 = (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 ? buildGroup$1(grp.sup, options.havingStyle(style.sup()), options) : buildGroup$1(grp.sub, options.havingStyle(style.sub()), options);
-    group = assertNodeType(grp.base, "horizBrace");
-  } else {
-    group = assertNodeType(grp, "horizBrace");
-  } // Build the base group
-
-
-  var body = buildGroup$1(group.base, options.havingBaseStyle(Style$1.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 mathmlBuilder$2 = (group, options) => {
-  var accentNode = stretchy.mathMLnode(group.label);
-  return new mathMLTree.MathNode(group.isOver ? "mover" : "munder", [buildGroup(group.base, options), accentNode]);
-}; // Horizontal stretchy braces
-
-
-defineFunction({
-  type: "horizBrace",
-  names: ["\\overbrace", "\\underbrace"],
-  props: {
-    numArgs: 1
-  },
-
-  handler(_ref, args) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    return {
-      type: "horizBrace",
-      mode: parser.mode,
-      label: funcName,
-      isOver: /^\\over/.test(funcName),
-      base: args[0]
-    };
-  },
-
-  htmlBuilder: htmlBuilder$3,
-  mathmlBuilder: mathmlBuilder$2
-});
-
-defineFunction({
-  type: "href",
-  names: ["\\href"],
-  props: {
-    numArgs: 2,
-    argTypes: ["url", "original"],
-    allowedInText: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser
-    } = _ref;
-    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,
-      body: ordargument(body)
-    };
-  },
-  htmlBuilder: (group, options) => {
-    var elements = buildExpression$1(group.body, options, false);
-    return buildCommon.makeAnchor(group.href, [], elements, options);
-  },
-  mathmlBuilder: (group, options) => {
-    var math = buildExpressionRow(group.body, options);
-
-    if (!(math instanceof MathNode)) {
-      math = new MathNode("mrow", [math]);
-    }
-
-    math.setAttribute("href", group.href);
-    return math;
-  }
-});
-defineFunction({
-  type: "href",
-  names: ["\\url"],
-  props: {
-    numArgs: 1,
-    argTypes: ["url"],
-    allowedInText: true
-  },
-  handler: (_ref2, args) => {
-    var {
-      parser
-    } = _ref2;
-    var href = assertNodeType(args[0], "url").url;
-
-    if (!parser.settings.isTrusted({
-      command: "\\url",
-      url: href
-    })) {
-      return parser.formatUnsupportedCmd("\\url");
-    }
-
-    var chars = [];
-
-    for (var i = 0; i < href.length; i++) {
-      var c = href[i];
-
-      if (c === "~") {
-        c = "\\textasciitilde";
-      }
-
-      chars.push({
-        type: "textord",
-        mode: "text",
-        text: c
-      });
-    }
-
-    var body = {
-      type: "text",
-      mode: parser.mode,
-      font: "\\texttt",
-      body: chars
-    };
-    return {
-      type: "href",
-      mode: parser.mode,
-      href,
-      body: ordargument(body)
-    };
-  }
-});
-
-// In LaTeX, \vcenter can act only on a box, as in
-// \vcenter{\hbox{$\frac{a+b}{\dfrac{c}{d}}$}}
-// This function by itself doesn't do anything but prevent a soft line break.
-
-defineFunction({
-  type: "hbox",
-  names: ["\\hbox"],
-  props: {
-    numArgs: 1,
-    argTypes: ["text"],
-    allowedInText: true,
-    primitive: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser
-    } = _ref;
-    return {
-      type: "hbox",
-      mode: parser.mode,
-      body: ordargument(args[0])
-    };
-  },
-
-  htmlBuilder(group, options) {
-    var elements = buildExpression$1(group.body, options, false);
-    return buildCommon.makeFragment(elements);
-  },
-
-  mathmlBuilder(group, options) {
-    return new mathMLTree.MathNode("mrow", buildExpression(group.body, options));
-  }
-
-});
-
-defineFunction({
-  type: "html",
-  names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"],
-  props: {
-    numArgs: 2,
-    argTypes: ["raw", "original"],
-    allowedInText: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser,
-      funcName,
-      token
-    } = _ref;
-    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 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) => {
-    var elements = buildExpression$1(group.body, options, false);
-    var classes = ["enclosing"];
-
-    if (group.attributes.class) {
-      classes.push(...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: (group, options) => {
-    return buildExpressionRow(group.body, options);
-  }
-});
-
-defineFunction({
-  type: "htmlmathml",
-  names: ["\\html@mathml"],
-  props: {
-    numArgs: 2,
-    allowedInText: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser
-    } = _ref;
-    return {
-      type: "htmlmathml",
-      mode: parser.mode,
-      html: ordargument(args[0]),
-      mathml: ordargument(args[1])
-    };
-  },
-  htmlBuilder: (group, options) => {
-    var elements = buildExpression$1(group.html, options, false);
-    return buildCommon.makeFragment(elements);
-  },
-  mathmlBuilder: (group, options) => {
-    return buildExpressionRow(group.mathml, options);
-  }
-});
-
-var sizeData = function sizeData(str) {
-  if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.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 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 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) => {
-    var {
-      parser
-    } = _ref;
-    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 = 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.");
-          }
-        }
-      }
-    }
-
-    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: (group, options) => {
-    var height = calculateSize(group.height, options);
-    var depth = 0;
-
-    if (group.totalheight.number > 0) {
-      depth = calculateSize(group.totalheight, options) - height;
-    }
-
-    var width = 0;
-
-    if (group.width.number > 0) {
-      width = calculateSize(group.width, options);
-    }
-
-    var style = {
-      height: makeEm(height + depth)
-    };
-
-    if (width > 0) {
-      style.width = makeEm(width);
-    }
-
-    if (depth > 0) {
-      style.verticalAlign = makeEm(-depth);
-    }
-
-    var node = new Img(group.src, group.alt, style);
-    node.height = height;
-    node.depth = depth;
-    return node;
-  },
-  mathmlBuilder: (group, options) => {
-    var node = new mathMLTree.MathNode("mglyph", []);
-    node.setAttribute("alt", group.alt);
-    var height = calculateSize(group.height, options);
-    var depth = 0;
-
-    if (group.totalheight.number > 0) {
-      depth = calculateSize(group.totalheight, options) - height;
-      node.setAttribute("valign", makeEm(-depth));
-    }
-
-    node.setAttribute("height", makeEm(height + depth));
-
-    if (group.width.number > 0) {
-      var width = calculateSize(group.width, options);
-      node.setAttribute("width", makeEm(width));
-    }
-
-    node.setAttribute("src", group.src);
-    return node;
-  }
-});
-
-// Horizontal spacing commands
-
-defineFunction({
-  type: "kern",
-  names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
-  props: {
-    numArgs: 1,
-    argTypes: ["size"],
-    primitive: true,
-    allowedInText: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    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(group, options) {
-    return buildCommon.makeGlue(group.dimension, options);
-  },
-
-  mathmlBuilder(group, options) {
-    var 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) => {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var body = args[0];
-    return {
-      type: "lap",
-      mode: parser.mode,
-      alignment: funcName.slice(5),
-      body
-    };
-  },
-  htmlBuilder: (group, options) => {
-    // mathllap, mathrlap, mathclap
-    var inner;
-
-    if (group.alignment === "clap") {
-      // ref: https://www.math.lsu.edu/~aperlis/publications/mathclap/
-      inner = buildCommon.makeSpan([], [buildGroup$1(group.body, options)]); // wrap, since CSS will center a .clap > .inner > span
-
-      inner = buildCommon.makeSpan(["inner"], [inner], options);
-    } else {
-      inner = buildCommon.makeSpan(["inner"], [buildGroup$1(group.body, options)]);
-    }
-
-    var fix = buildCommon.makeSpan(["fix"], []);
-    var node = buildCommon.makeSpan([group.alignment], [inner, fix], options); // At this point, we have correctly set horizontal alignment of the
-    // two items involved in the lap.
-    // Next, use a strut to set the height of the HTML bounding box.
-    // Otherwise, a tall argument may be misplaced.
-    // This code resolved issue #1153
-
-    var strut = buildCommon.makeSpan(["strut"]);
-    strut.style.height = makeEm(node.height + node.depth);
-
-    if (node.depth) {
-      strut.style.verticalAlign = makeEm(-node.depth);
-    }
-
-    node.children.unshift(strut); // Next, prevent vertical misplacement when next to something tall.
-    // This code resolves issue #1234
-
-    node = buildCommon.makeSpan(["thinbox"], [node], options);
-    return buildCommon.makeSpan(["mord", "vbox"], [node], options);
-  },
-  mathmlBuilder: (group, options) => {
-    // mathllap, mathrlap, mathclap
-    var node = new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)]);
-
-    if (group.alignment !== "rlap") {
-      var offset = group.alignment === "llap" ? "-1" : "-0.5";
-      node.setAttribute("lspace", offset + "width");
-    }
-
-    node.setAttribute("width", "0px");
-    return node;
-  }
-});
-
-defineFunction({
-  type: "styling",
-  names: ["\\(", "$"],
-  props: {
-    numArgs: 0,
-    allowedInText: true,
-    allowedInMath: false
-  },
-
-  handler(_ref, args) {
-    var {
-      funcName,
-      parser
-    } = _ref;
-    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
-    };
-  }
-
-}); // 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);
-  }
-
-});
-
-var 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,
-    primitive: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser
-    } = _ref;
-    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) => {
-    var body = chooseMathStyle(group, options);
-    var elements = buildExpression$1(body, options, false);
-    return buildCommon.makeFragment(elements);
-  },
-  mathmlBuilder: (group, options) => {
-    var body = chooseMathStyle(group, options);
-    return buildExpressionRow(body, options);
-  }
-});
-
-var assembleSupSub = (base, supGroup, subGroup, options, style, slant, baseShift) => {
-  base = buildCommon.makeSpan([], [base]);
-  var subIsSingleCharacter = subGroup && utils.isCharacterBox(subGroup);
-  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 = buildGroup$1(supGroup, options.havingStyle(style.sup()), options);
-    sup = {
-      elem,
-      kern: Math.max(options.fontMetrics().bigOpSpacing1, options.fontMetrics().bigOpSpacing3 - elem.depth)
-    };
-  }
-
-  if (subGroup) {
-    var _elem = buildGroup$1(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: makeEm(-slant)
-      }, {
-        type: "kern",
-        size: sub.kern
-      }, {
-        type: "elem",
-        elem: base
-      }, {
-        type: "kern",
-        size: sup.kern
-      }, {
-        type: "elem",
-        elem: sup.elem,
-        marginLeft: makeEm(slant)
-      }, {
-        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: makeEm(-slant)
-      }, {
-        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: makeEm(slant)
-      }, {
-        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;
-  }
-
-  var parts = [finalGroup];
-
-  if (sub && slant !== 0 && !subIsSingleCharacter) {
-    // A negative margin-left was applied to the lower limit.
-    // Avoid an overlap by placing a spacer on the left on the group.
-    var spacer = buildCommon.makeSpan(["mspace"], [], options);
-    spacer.style.marginRight = makeEm(slant);
-    parts.unshift(spacer);
-  }
-
-  return buildCommon.makeSpan(["mop", "op-limits"], parts, options);
-};
-
-// 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 htmlBuilder$2 = (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 === Style$1.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.slice(1);
-      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);
-      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 = buildExpression$1(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"], inner, options);
-    }
-  } else {
-    // Otherwise, this is a text operator. Build the text from the
-    // operator's name.
-    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 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 = makeEm(baseShift);
-    }
-
-    return base;
-  }
-};
-
-var mathmlBuilder$1 = (group, options) => {
-  var 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(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
-
-    var operator = new MathNode("mo", [makeText("\u2061", "text")]);
-
-    if (group.parentIsSupSub) {
-      node = new MathNode("mrow", [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: (_ref, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    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: htmlBuilder$2,
-  mathmlBuilder: mathmlBuilder$1
-}); // 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,
-    primitive: true
-  },
-  handler: (_ref2, args) => {
-    var {
-      parser
-    } = _ref2;
-    var body = args[0];
-    return {
-      type: "op",
-      mode: parser.mode,
-      limits: false,
-      parentIsSupSub: false,
-      symbol: false,
-      body: ordargument(body)
-    };
-  },
-  htmlBuilder: htmlBuilder$2,
-  mathmlBuilder: mathmlBuilder$1
-}); // 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(_ref3) {
-    var {
-      parser,
-      funcName
-    } = _ref3;
-    return {
-      type: "op",
-      mode: parser.mode,
-      limits: false,
-      parentIsSupSub: false,
-      symbol: false,
-      name: funcName
-    };
-  },
-
-  htmlBuilder: htmlBuilder$2,
-  mathmlBuilder: mathmlBuilder$1
-}); // Limits, not symbols
-
-defineFunction({
-  type: "op",
-  names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(_ref4) {
-    var {
-      parser,
-      funcName
-    } = _ref4;
-    return {
-      type: "op",
-      mode: parser.mode,
-      limits: true,
-      parentIsSupSub: false,
-      symbol: false,
-      name: funcName
-    };
-  },
-
-  htmlBuilder: htmlBuilder$2,
-  mathmlBuilder: mathmlBuilder$1
-}); // No limits, symbols
-
-defineFunction({
-  type: "op",
-  names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222b", "\u222c", "\u222d", "\u222e", "\u222f", "\u2230"],
-  props: {
-    numArgs: 0
-  },
-
-  handler(_ref5) {
-    var {
-      parser,
-      funcName
-    } = _ref5;
-    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: htmlBuilder$2,
-  mathmlBuilder: mathmlBuilder$1
-});
-
-// NOTE: Unlike most `htmlBuilder`s, this one handles not only
-// "operatorname", but also  "supsub" since \operatorname* can
-// affect super/subscripting.
-var htmlBuilder$1 = (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(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 = buildExpression$1(body, options.withFont("mathrm"), true);
-
-    for (var i = 0; i < expression.length; i++) {
-      var 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;
-  }
-};
-
-var mathmlBuilder = (group, options) => {
-  // The steps taken here are similar to the html version.
-  var expression = 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) ; 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(node => 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", [makeText("\u2061", "text")]);
-
-  if (group.parentIsSupSub) {
-    return new mathMLTree.MathNode("mrow", [identifier, operator]);
-  } else {
-    return mathMLTree.newDocumentFragment([identifier, operator]);
-  }
-}; // \operatorname
-// amsopn.dtx: \mathop{#1\kern\z@\operator@font#3}\newmcodes@
-
-
-defineFunction({
-  type: "operatorname",
-  names: ["\\operatorname@", "\\operatornamewithlimits"],
-  props: {
-    numArgs: 1
-  },
-  handler: (_ref, args) => {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var body = args[0];
-    return {
-      type: "operatorname",
-      mode: parser.mode,
-      body: ordargument(body),
-      alwaysHandleSupSub: funcName === "\\operatornamewithlimits",
-      limits: false,
-      parentIsSupSub: false
-    };
-  },
-  htmlBuilder: htmlBuilder$1,
-  mathmlBuilder
-});
-defineMacro("\\operatorname", "\\@ifstar\\operatornamewithlimits\\operatorname@");
-
-defineFunctionBuilders({
-  type: "ordgroup",
-
-  htmlBuilder(group, options) {
-    if (group.semisimple) {
-      return buildCommon.makeFragment(buildExpression$1(group.body, options, false));
-    }
-
-    return buildCommon.makeSpan(["mord"], buildExpression$1(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) {
-    var {
-      parser
-    } = _ref;
-    var 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.
-    var innerGroup = buildGroup$1(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(group, options) {
-    var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]);
-    operator.setAttribute("stretchy", "true");
-    var node = new mathMLTree.MathNode("mover", [buildGroup(group.body, options), operator]);
-    node.setAttribute("accent", "true");
-    return node;
-  }
-
-});
-
-defineFunction({
-  type: "phantom",
-  names: ["\\phantom"],
-  props: {
-    numArgs: 1,
-    allowedInText: true
-  },
-  handler: (_ref, args) => {
-    var {
-      parser
-    } = _ref;
-    var body = args[0];
-    return {
-      type: "phantom",
-      mode: parser.mode,
-      body: ordargument(body)
-    };
-  },
-  htmlBuilder: (group, options) => {
-    var elements = buildExpression$1(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) => {
-    var inner = buildExpression(group.body, options);
-    return new mathMLTree.MathNode("mphantom", inner);
-  }
-});
-defineFunction({
-  type: "hphantom",
-  names: ["\\hphantom"],
-  props: {
-    numArgs: 1,
-    allowedInText: true
-  },
-  handler: (_ref2, args) => {
-    var {
-      parser
-    } = _ref2;
-    var body = args[0];
-    return {
-      type: "hphantom",
-      mode: parser.mode,
-      body
-    };
-  },
-  htmlBuilder: (group, options) => {
-    var node = buildCommon.makeSpan([], [buildGroup$1(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: (group, options) => {
-    var inner = 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: (_ref3, args) => {
-    var {
-      parser
-    } = _ref3;
-    var body = args[0];
-    return {
-      type: "vphantom",
-      mode: parser.mode,
-      body
-    };
-  },
-  htmlBuilder: (group, options) => {
-    var inner = buildCommon.makeSpan(["inner"], [buildGroup$1(group.body, options.withPhantom())]);
-    var fix = buildCommon.makeSpan(["fix"], []);
-    return buildCommon.makeSpan(["mord", "rlap"], [inner, fix], options);
-  },
-  mathmlBuilder: (group, options) => {
-    var inner = 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;
-  }
-});
-
-defineFunction({
-  type: "raisebox",
-  names: ["\\raisebox"],
-  props: {
-    numArgs: 2,
-    argTypes: ["size", "hbox"],
-    allowedInText: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser
-    } = _ref;
-    var amount = assertNodeType(args[0], "size").value;
-    var body = args[1];
-    return {
-      type: "raisebox",
-      mode: parser.mode,
-      dy: amount,
-      body
-    };
-  },
-
-  htmlBuilder(group, options) {
-    var body = buildGroup$1(group.body, options);
-    var dy = calculateSize(group.dy, options);
-    return buildCommon.makeVList({
-      positionType: "shift",
-      positionData: -dy,
-      children: [{
-        type: "elem",
-        elem: body
-      }]
-    }, options);
-  },
-
-  mathmlBuilder(group, options) {
-    var node = new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)]);
-    var dy = group.dy.number + group.dy.unit;
-    node.setAttribute("voffset", dy);
-    return node;
-  }
-
-});
-
-defineFunction({
-  type: "internal",
-  names: ["\\relax"],
-  props: {
-    numArgs: 0,
-    allowedInText: true
-  },
-
-  handler(_ref) {
-    var {
-      parser
-    } = _ref;
-    return {
-      type: "internal",
-      mode: parser.mode
-    };
-  }
-
-});
-
-defineFunction({
-  type: "rule",
-  names: ["\\rule"],
-  props: {
-    numArgs: 2,
-    numOptionalArgs: 1,
-    argTypes: ["size", "size", "size"]
-  },
-
-  handler(_ref, args, optArgs) {
-    var {
-      parser
-    } = _ref;
-    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(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 = calculateSize(group.width, options);
-    var height = calculateSize(group.height, options);
-    var shift = group.shift ? calculateSize(group.shift, options) : 0; // Style the rule to the right size
-
-    rule.style.borderRightWidth = makeEm(width);
-    rule.style.borderTopWidth = makeEm(height);
-    rule.style.bottom = makeEm(shift); // 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) {
-    var width = calculateSize(group.width, options);
-    var height = calculateSize(group.height, options);
-    var shift = group.shift ? 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", makeEm(width));
-    rule.setAttribute("height", makeEm(height));
-    var wrapper = new mathMLTree.MathNode("mpadded", [rule]);
-
-    if (shift >= 0) {
-      wrapper.setAttribute("height", makeEm(shift));
-    } else {
-      wrapper.setAttribute("height", makeEm(shift));
-      wrapper.setAttribute("depth", makeEm(-shift));
-    }
-
-    wrapper.setAttribute("voffset", makeEm(shift));
-    return wrapper;
-  }
-
-});
-
-function sizingGroup(value, options, baseOptions) {
-  var inner = buildExpression$1(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 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: (_ref, args) => {
-    var {
-      breakOnTokenText,
-      funcName,
-      parser
-    } = _ref;
-    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
-    };
-  },
-  htmlBuilder,
-  mathmlBuilder: (group, options) => {
-    var newOptions = options.havingSize(group.size);
-    var inner = 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", makeEm(newOptions.sizeMultiplier));
-    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) => {
-    var {
-      parser
-    } = _ref;
-    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,
-      smashHeight,
-      smashDepth
-    };
-  },
-  htmlBuilder: (group, options) => {
-    var node = buildCommon.makeSpan([], [buildGroup$1(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: (group, options) => {
-    var node = new mathMLTree.MathNode("mpadded", [buildGroup(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) {
-    var {
-      parser
-    } = _ref;
-    var index = optArgs[0];
-    var 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
-    var inner = buildGroup$1(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 < Style$1.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 {
-      span: img,
-      ruleWidth,
-      advanceWidth
-    } = delimiter.sqrtImage(minDelimiterHeight, options);
-    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 = makeEm(advanceWidth); // 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(Style$1.SCRIPTSCRIPT);
-      var rootm = buildGroup$1(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(group, options) {
-    var {
-      body,
-      index
-    } = group;
-    return index ? new mathMLTree.MathNode("mroot", [buildGroup(body, options), buildGroup(index, options)]) : new mathMLTree.MathNode("msqrt", [buildGroup(body, options)]);
-  }
-
-});
-
-var styleMap = {
-  "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,
-    primitive: true
-  },
-
-  handler(_ref, args) {
-    var {
-      breakOnTokenText,
-      funcName,
-      parser
-    } = _ref;
-    // 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,
-      body
-    };
-  },
-
-  htmlBuilder(group, options) {
-    // Style changes are handled in the TeXbook on pg. 442, Rule 3.
-    var newStyle = styleMap[group.style];
-    var newOptions = options.havingStyle(newStyle).withFont('');
-    return sizingGroup(group.body, newOptions, options);
-  },
-
-  mathmlBuilder(group, options) {
-    // Figure out what style we're changing to.
-    var newStyle = styleMap[group.style];
-    var newOptions = options.havingStyle(newStyle);
-    var inner = 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;
-  }
-
-});
-
-/**
- * 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 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 === Style$1.DISPLAY.size || base.alwaysHandleSupSub);
-    return delegate ? htmlBuilder$2 : null;
-  } else if (base.type === "operatorname") {
-    var _delegate = base.alwaysHandleSupSub && (options.style.size === Style$1.DISPLAY.size || base.limits);
-
-    return _delegate ? htmlBuilder$1 : null;
-  } else if (base.type === "accent") {
-    return utils.isCharacterBox(base.base) ? htmlBuilder$a : null;
-  } else if (base.type === "horizBrace") {
-    var isSup = !group.sub;
-    return isSup === base.isOver ? htmlBuilder$3 : 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.
-    var builderDelegate = htmlBuilderDelegate(group, options);
-
-    if (builderDelegate) {
-      return builderDelegate(group, options);
-    }
-
-    var {
-      base: valueBase,
-      sup: valueSup,
-      sub: valueSub
-    } = group;
-    var base = buildGroup$1(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 = buildGroup$1(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 = buildGroup$1(valueSub, _newOptions, options);
-
-      if (!isCharacterBox) {
-        subShift = base.depth + _newOptions.fontMetrics().subDrop * _newOptions.sizeMultiplier / options.sizeMultiplier;
-      }
-    } // Rule 18c
-
-
-    var 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.
-
-
-    var multiplier = options.sizeMultiplier;
-    var marginRight = makeEm(0.5 / metrics.ptPerEm / multiplier);
-    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 SymbolNode || isOiint) {
-        // $FlowFixMe
-        marginLeft = makeEm(-base.italic);
-      }
-    }
-
-    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,
-        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);
-      var _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.
-
-
-    var 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?
-    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 = [buildGroup(group.base, options)];
-
-    if (group.sub) {
-      children.push(buildGroup(group.sub, options));
-    }
-
-    if (group.sup) {
-      children.push(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 === 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) {
-      var _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 {
-      var _base2 = group.base;
-
-      if (_base2 && _base2.type === "op" && _base2.limits && options.style === Style$1.DISPLAY) {
-        nodeType = "munderover";
-      } else if (_base2 && _base2.type === "operatorname" && _base2.alwaysHandleSupSub && (options.style === Style$1.DISPLAY || _base2.limits)) {
-        nodeType = "munderover";
-      } else {
-        nodeType = "msubsup";
-      }
-    }
-
-    return new mathMLTree.MathNode(nodeType, children);
-  }
-
-});
-
-defineFunctionBuilders({
-  type: "atom",
-
-  htmlBuilder(group, options) {
-    return buildCommon.mathsym(group.text, group.mode, options, ["m" + group.family]);
-  },
-
-  mathmlBuilder(group, options) {
-    var node = new mathMLTree.MathNode("mo", [makeText(group.text, group.mode)]);
-
-    if (group.family === "bin") {
-      var 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
-// src/symbols.js.
-var defaultVariant = {
-  "mi": "italic",
-  "mn": "normal",
-  "mtext": "normal"
-};
-defineFunctionBuilders({
-  type: "mathord",
-
-  htmlBuilder(group, options) {
-    return buildCommon.makeOrd(group, options, "mathord");
-  },
-
-  mathmlBuilder(group, options) {
-    var node = new mathMLTree.MathNode("mi", [makeText(group.text, group.mode, options)]);
-    var 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) {
-    var text = makeText(group.text, group.mode, options);
-    var variant = getVariant(group, options) || "normal";
-    var node;
-
-    if (group.mode === 'text') {
-      node = new mathMLTree.MathNode("mtext", [text]);
-    } else if (/[0-9]/.test(group.text)) {
-      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;
-  }
-
-});
-
-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(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 ParseError("Unknown type of space \"" + group.text + "\"");
-    }
-  },
-
-  mathmlBuilder(group, options) {
-    var 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;
-  }
-
-});
-
-var pad = () => {
-  var padNode = new mathMLTree.MathNode("mtd", []);
-  padNode.setAttribute("width", "50%");
-  return padNode;
-};
-
-defineFunctionBuilders({
-  type: "tag",
-
-  mathmlBuilder(group, options) {
-    var 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.
-  }
-
-});
-
-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 = (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"],
-    allowedInArgument: true,
-    allowedInText: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser,
-      funcName
-    } = _ref;
-    var body = args[0];
-    return {
-      type: "text",
-      mode: parser.mode,
-      body: ordargument(body),
-      font: funcName
-    };
-  },
-
-  htmlBuilder(group, options) {
-    var newOptions = optionsWithFont(group, options);
-    var inner = buildExpression$1(group.body, newOptions, true);
-    return buildCommon.makeSpan(["mord", "text"], inner, newOptions);
-  },
-
-  mathmlBuilder(group, options) {
-    var newOptions = optionsWithFont(group, options);
-    return buildExpressionRow(group.body, newOptions);
-  }
-
-});
-
-defineFunction({
-  type: "underline",
-  names: ["\\underline"],
-  props: {
-    numArgs: 1,
-    allowedInText: true
-  },
-
-  handler(_ref, args) {
-    var {
-      parser
-    } = _ref;
-    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.
-    var innerGroup = buildGroup$1(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(group, options) {
-    var operator = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode("\u203e")]);
-    operator.setAttribute("stretchy", "true");
-    var node = new mathMLTree.MathNode("munder", [buildGroup(group.body, options), operator]);
-    node.setAttribute("accentunder", "true");
-    return node;
-  }
-
-});
-
-defineFunction({
-  type: "vcenter",
-  names: ["\\vcenter"],
-  props: {
-    numArgs: 1,
-    argTypes: ["original"],
-    // In LaTeX, \vcenter can act only on a box.
-    allowedInText: false
-  },
-
-  handler(_ref, args) {
-    var {
-      parser
-    } = _ref;
-    return {
-      type: "vcenter",
-      mode: parser.mode,
-      body: args[0]
-    };
-  },
-
-  htmlBuilder(group, options) {
-    var body = buildGroup$1(group.body, options);
-    var axisHeight = options.fontMetrics().axisHeight;
-    var dy = 0.5 * (body.height - axisHeight - (body.depth + axisHeight));
-    return buildCommon.makeVList({
-      positionType: "shift",
-      positionData: dy,
-      children: [{
-        type: "elem",
-        elem: body
-      }]
-    }, options);
-  },
-
-  mathmlBuilder(group, options) {
-    // There is no way to do this in MathML.
-    // Write a class as a breadcrumb in case some post-processor wants
-    // to perform a vcenter adjustment.
-    return new mathMLTree.MathNode("mpadded", [buildGroup(group.body, options)], ["vcenter"]);
-  }
-
-});
-
-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) {
-    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(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 = group => group.body.replace(/ /g, group.star ? '\u2423' : '\xA0');
-
-/** Include this to ensure that all functions are defined. */
-var 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 whitespace characters
- * - matches a backslash followed by one or more letters then whitespace
- * - matches a backslash followed by any BMP character
- * Capturing groups:
- *   [1] regular whitespace
- *   [2] backslash followed by whitespace
- *   [3] anything else, which may include:
- *     [4] left character of \verb*
- *     [5] left character of \verb
- *     [6] backslash followed by word, excluding any trailing whitespace
- * 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 controlSpaceRegexString = "\\\\(\n|[ \r\t]+\n?)[ \r\t]*";
-var combiningDiacriticalMarkString = "[\u0300-\u036f]";
-var combiningDiacriticalMarksEndRegex = new RegExp(combiningDiacriticalMarkString + "+$");
-var tokenRegexString = "(" + spaceRegexString + "+)|" + ( // whitespace
-controlSpaceRegexString + "|") + // \whitespace
-"([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + ( // single codepoint
-combiningDiacriticalMarkString + "*") + // ...plus accents
-"|[\uD800-\uDBFF][\uDC00-\uDFFF]" + ( // surrogate pair
-combiningDiacriticalMarkString + "*") + // ...plus accents
-"|\\\\verb\\*([^]).*?\\4" + // \verb*
-"|\\\\verb([^*a-zA-Z]).*?\\5" + ( // \verb unstarred
-"|" + controlWordWhitespaceRegexString) + ( // \macroName + spaces
-"|" + controlSymbolRegexString + ")"); // \\, \', etc.
-
-/** Main Lexer class */
-
-class Lexer {
-  // Category codes. The lexer only supports comment characters (14) for now.
-  // MacroExpander additionally distinguishes active (13).
-  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
-      "~": 13 // active character
-
-    };
-  }
-
-  setCatcode(char, code) {
-    this.catcodes[char] = code;
-  }
-  /**
-   * This function lexes a single token.
-   */
-
-
-  lex() {
-    var input = this.input;
-    var pos = this.tokenRegex.lastIndex;
-
-    if (pos === input.length) {
-      return new Token("EOF", new SourceLocation(this, pos, pos));
-    }
-
-    var 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)));
-    }
-
-    var text = match[6] || match[3] || (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();
-    }
-
-    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");
-    }
-
-    var undefs = this.undefStack.pop();
-
-    for (var undef in undefs) {
-      if (undefs.hasOwnProperty(undef)) {
-        if (undefs[undef] == null) {
-          delete this.current[undef];
-        } else {
-          this.current[undef] = undefs[undef];
-        }
-      }
-    }
-  }
-  /**
-   * Ends all currently nested groups (if any), restoring values before the
-   * groups began.  Useful in case of an error in the middle of parsing.
-   */
-
-
-  endGroups() {
-    while (this.undefStack.length > 0) {
-      this.endGroup();
-    }
-  }
-  /**
-   * 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.
-   * A value of undefined means to delete existing definitions.
-   */
-
-
-  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];
-      }
-    }
-
-    if (value == null) {
-      delete this.current[name];
-    } else {
-      this.current[name] = value;
-    }
-  }
-
-}
-
-/**
- * Predefined macros for KaTeX.
- * This can be used to define some commands in terms of others.
- */
-var macros = _macros;
-// 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 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);
-    }
-
-    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 newcommand = (context, existsOK, nonexistsOK) => {
-  var arg = context.consumeArg().tokens;
-
-  if (arg.length !== 1) {
-    throw new 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 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");
-  }
-
-  var numArgs = 0;
-  arg = context.consumeArg().tokens;
-
-  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 ParseError("Invalid number of arguments: " + argText);
-    }
-
-    numArgs = parseInt(argText);
-    arg = context.consumeArg().tokens;
-  } // 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 => {
-  var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console
-
-  console.log(arg.reverse().map(token => token.text).join(""));
-  return '';
-});
-defineMacro("\\errmessage", context => {
-  var arg = context.consumeArgs(1)[0]; // eslint-disable-next-line no-console
-
-  console.error(arg.reverse().map(token => token.text).join(""));
-  return '';
-});
-defineMacro("\\show", context => {
-  var tok = context.popToken();
-  var 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~{\nobreakspace{}}
-// \def\lq{`}
-// \def\rq{'}
-// \def \aa {\r a}
-// \def \AA {\r A}
-
-defineMacro("~", "\\nobreakspace");
-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}}"); // \mathstrut from the TeXbook, p 360
-
-defineMacro("\\mathstrut", "\\vphantom{(}"); // \underbar from TeXbook p 353
-
-defineMacro("\\underbar", "\\underline{\\text{#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\\relax"); // \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.slice(0, 4) === '\\not') {
-    thedots = '\\dotsb';
-  } else if (next in symbols.math) {
-    if (utils.contains(['bin', 'rel'], 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", 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"); //////////////////////////////////////////////////////////////////////
-// LaTeX source2e
-// \expandafter\let\expandafter\@normalcr
-//     \csname\expandafter\@gobble\string\\ \endcsname
-// \DeclareRobustCommand\newline{\@normalcr\relax}
-
-defineMacro("\\newline", "\\\\\\relax"); // \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 = makeEm(fontMetricsData['Main-Regular']["T".charCodeAt(0)][1] - 0.7 * fontMetricsData['Main-Regular']["A".charCodeAt(0)][1]);
-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}"); //////////////////////////////////////////////////////////////////////
-// From amsopn.sty
-
-defineMacro("\\injlim", "\\DOTSB\\operatorname*{inj\\,lim}");
-defineMacro("\\projlim", "\\DOTSB\\operatorname*{proj\\,lim}");
-defineMacro("\\varlimsup", "\\DOTSB\\operatorname*{\\overline{lim}}");
-defineMacro("\\varliminf", "\\DOTSB\\operatorname*{\\underline{lim}}");
-defineMacro("\\varinjlim", "\\DOTSB\\operatorname*{\\underrightarrow{lim}}");
-defineMacro("\\varprojlim", "\\DOTSB\\operatorname*{\\underleftarrow{lim}}"); //////////////////////////////////////////////////////////////////////
-// 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");
-
-var braketHelper = one => context => {
-  var left = context.consumeArg().tokens;
-  var middle = context.consumeArg().tokens;
-  var middleDouble = context.consumeArg().tokens;
-  var right = context.consumeArg().tokens;
-  var oldMiddle = context.macros.get("|");
-  var oldMiddleDouble = context.macros.get("\\|");
-  context.macros.beginGroup();
-
-  var midMacro = double => context => {
-    if (one) {
-      // Only modify the first instance of | or \|
-      context.macros.set("|", oldMiddle);
-
-      if (middleDouble.length) {
-        context.macros.set("\\|", oldMiddleDouble);
-      }
-    }
-
-    var doubled = double;
-
-    if (!double && middleDouble.length) {
-      // Mimic \@ifnextchar
-      var nextToken = context.future();
-
-      if (nextToken.text === "|") {
-        context.popToken();
-        doubled = true;
-      }
-    }
-
-    return {
-      tokens: doubled ? middleDouble : middle,
-      numArgs: 0
-    };
-  };
-
-  context.macros.set("|", midMacro(false));
-
-  if (middleDouble.length) {
-    context.macros.set("\\|", midMacro(true));
-  }
-
-  var arg = context.consumeArg().tokens;
-  var expanded = context.expandTokens([...right, ...arg, ...left // reversed
-  ]);
-  context.macros.endGroup();
-  return {
-    tokens: expanded.reverse(),
-    numArgs: 0
-  };
-};
-
-defineMacro("\\bra@ket", braketHelper(false));
-defineMacro("\\bra@set", braketHelper(true));
-defineMacro("\\Braket", "\\bra@ket{\\left\\langle}" + "{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}");
-defineMacro("\\Set", "\\bra@set{\\left\\{\\:}" + "{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}");
-defineMacro("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"); // has no support for special || or \|
-//////////////////////////////////////////////////////////////////////
-// actuarialangle.dtx
-
-defineMacro("\\angln", "{\\angl n}"); // 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`.
-var implicitCommands = {
-  "^": 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(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.).
-   */
-
-
-  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();
-  }
-  /**
-   * Ends all currently nested groups (if any), restoring values before the
-   * groups began.  Useful in case of an error in the middle of parsing.
-   */
-
-
-  endGroups() {
-    this.macros.endGroups();
-  }
-  /**
-   * 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);
-  }
-  /**
-   * Find an macro argument without expanding tokens and append the array of
-   * tokens to the token stack. Uses Token as a container for the result.
-   */
-
-
-  scanArgument(isOptional) {
-    var start;
-    var end;
-    var tokens;
-
-    if (isOptional) {
-      this.consumeSpaces(); // \@ifnextchar gobbles any space following it
-
-      if (this.future().text !== "[") {
-        return null;
-      }
-
-      start = this.popToken(); // don't include [ in tokens
-
-      ({
-        tokens,
-        end
-      } = this.consumeArg(["]"]));
-    } else {
-      ({
-        tokens,
-        start,
-        end
-      } = this.consumeArg());
-    } // indicate the end of an argument
-
-
-    this.pushToken(new Token("EOF", end.loc));
-    this.pushTokens(tokens);
-    return start.range(end, "");
-  }
-  /**
-   * Consume all following space tokens, without expansion.
-   */
-
-
-  consumeSpaces() {
-    for (;;) {
-      var token = this.future();
-
-      if (token.text === " ") {
-        this.stack.pop();
-      } else {
-        break;
-      }
-    }
-  }
-  /**
-   * Consume an argument from the token stream, and return the resulting array
-   * of tokens and start/end token.
-   */
-
-
-  consumeArg(delims) {
-    // The argument for a delimited parameter is the shortest (possibly
-    // empty) sequence of tokens with properly nested {...} groups that is
-    // followed ... by this particular list of non-parameter tokens.
-    // The argument for an undelimited parameter is the next nonblank
-    // token, unless that token is ‘{’, when the argument will be the
-    // entire {...} group that follows.
-    var tokens = [];
-    var isDelimited = delims && delims.length > 0;
-
-    if (!isDelimited) {
-      // 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."
-      this.consumeSpaces();
-    }
-
-    var start = this.future();
-    var tok;
-    var depth = 0;
-    var match = 0;
-
-    do {
-      tok = this.popToken();
-      tokens.push(tok);
-
-      if (tok.text === "{") {
-        ++depth;
-      } else if (tok.text === "}") {
-        --depth;
-
-        if (depth === -1) {
-          throw new ParseError("Extra }", tok);
-        }
-      } else if (tok.text === "EOF") {
-        throw new ParseError("Unexpected end of input in a macro argument" + ", expected '" + (delims && isDelimited ? delims[match] : "}") + "'", tok);
-      }
-
-      if (delims && isDelimited) {
-        if ((depth === 0 || depth === 1 && delims[match] === "{") && tok.text === delims[match]) {
-          ++match;
-
-          if (match === delims.length) {
-            // don't include delims in tokens
-            tokens.splice(-match, match);
-            break;
-          }
-        } else {
-          match = 0;
-        }
-      }
-    } while (depth !== 0 || isDelimited); // If the argument found ... has the form ‘{<nested tokens>}’,
-    // ... the outermost braces enclosing the argument are removed
-
-
-    if (start.text === "{" && tokens[tokens.length - 1].text === "}") {
-      tokens.pop();
-      tokens.shift();
-    }
-
-    tokens.reverse(); // to fit in with stack order
-
-    return {
-      tokens,
-      start,
-      end: tok
-    };
-  }
-  /**
-   * Consume the specified number of (delimited) arguments from the token
-   * stream and return the resulting array of arguments.
-   */
-
-
-  consumeArgs(numArgs, delimiters) {
-    if (delimiters) {
-      if (delimiters.length !== numArgs + 1) {
-        throw new ParseError("The length of delimiters doesn't match the number of args!");
-      }
-
-      var delims = delimiters[0];
-
-      for (var i = 0; i < delims.length; i++) {
-        var tok = this.popToken();
-
-        if (delims[i] !== tok.text) {
-          throw new ParseError("Use of the macro doesn't match its definition", tok);
-        }
-      }
-    }
-
-    var args = [];
-
-    for (var _i = 0; _i < numArgs; _i++) {
-      args.push(this.consumeArg(delimiters && delimiters[_i + 1]).tokens);
-    }
-
-    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 the number of such tokens will be
-   * returned.  This number might be zero or positive.
-   *
-   * If not, the return value is `false`, and the next token remains at the
-   * top of the stack.
-   *
-   * In either case, the next token will be on the top of the stack,
-   * or the stack will be empty (in case of empty expansion
-   * and no other tokens).
-   *
-   * Used to implement `expandAfterFuture` and `expandNextToken`.
-   *
-   * If expandableOnly, only expandable tokens are expanded and
-   * an undefined control sequence results in an error.
-   */
-
-
-  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 ParseError("Undefined control sequence: " + name);
-      }
-
-      this.pushToken(topToken);
-      return false;
-    }
-
-    this.expansionCount++;
-
-    if (this.expansionCount > this.settings.maxExpand) {
-      throw new ParseError("Too many expansions: infinite loop or " + "need to increase maxExpand setting");
-    }
-
-    var tokens = expansion.tokens;
-    var args = this.consumeArgs(expansion.numArgs, expansion.delimiters);
-
-    if (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 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.length;
-  }
-  /**
-   * 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 (;;) {
-      if (this.expandOnce() === false) {
-        // fully expanded
-        var token = this.stack.pop(); // the token after \noexpand is interpreted as if its meaning
-        // were ‘\relax’
-
-        if (token.treatAsRelax) {
-          token.text = "\\relax";
-        }
-
-        return token;
-      }
-    } // 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.  Note that the input tokens are in reverse order, but the
-   * output tokens are in forward order.
-   */
-
-
-  expandTokens(tokens) {
-    var output = [];
-    var oldStackLength = this.stack.length;
-    this.pushTokens(tokens);
-
-    while (this.stack.length > oldStackLength) {
-      // Expand only expandable tokens
-      if (this.expandOnce(true) === false) {
-        // fully expanded
-        var token = this.stack.pop();
-
-        if (token.treatAsRelax) {
-          // the expansion of \noexpand is the token itself
-          token.noexpand = false;
-          token.treatAsRelax = false;
-        }
-
-        output.push(token);
-      }
-    }
-
-    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) {
-    var 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) {
-    var definition = this.macros.get(name);
-
-    if (definition == null) {
-      // mainly checking for undefined here
-      return definition;
-    } // If a single character has an associated catcode other than 13
-    // (active character), then don't expand it.
-
-
-    if (name.length === 1) {
-      var catcode = this.lexer.catcodes[name];
-
-      if (catcode != null && catcode !== 13) {
-        return;
-      }
-    }
-
-    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(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,
-        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) {
-    var macro = this.macros.get(name);
-    return macro != null ? typeof macro === "string" || typeof macro === "function" || !macro.unexpandable : functions.hasOwnProperty(name) && !functions[name].primitive;
-  }
-
-}
-
-// Helpers for Parser.js handling of Unicode (sub|super)script characters.
-var unicodeSubRegEx = /^[₊₋₌₍₎₀₁₂₃₄₅₆₇₈₉ₐₑₕᵢⱼₖₗₘₙₒₚᵣₛₜᵤᵥₓᵦᵧᵨᵩᵪ]/;
-var uSubsAndSups = Object.freeze({
-  '₊': '+',
-  '₋': '-',
-  '₌': '=',
-  '₍': '(',
-  '₎': ')',
-  '₀': '0',
-  '₁': '1',
-  '₂': '2',
-  '₃': '3',
-  '₄': '4',
-  '₅': '5',
-  '₆': '6',
-  '₇': '7',
-  '₈': '8',
-  '₉': '9',
-  '\u2090': 'a',
-  '\u2091': 'e',
-  '\u2095': 'h',
-  '\u1D62': 'i',
-  '\u2C7C': 'j',
-  '\u2096': 'k',
-  '\u2097': 'l',
-  '\u2098': 'm',
-  '\u2099': 'n',
-  '\u2092': 'o',
-  '\u209A': 'p',
-  '\u1D63': 'r',
-  '\u209B': 's',
-  '\u209C': 't',
-  '\u1D64': 'u',
-  '\u1D65': 'v',
-  '\u2093': 'x',
-  '\u1D66': 'β',
-  '\u1D67': 'γ',
-  '\u1D68': 'ρ',
-  '\u1D69': '\u03d5',
-  '\u1D6A': 'χ',
-  '⁺': '+',
-  '⁻': '-',
-  '⁼': '=',
-  '⁽': '(',
-  '⁾': ')',
-  '⁰': '0',
-  '¹': '1',
-  '²': '2',
-  '³': '3',
-  '⁴': '4',
-  '⁵': '5',
-  '⁶': '6',
-  '⁷': '7',
-  '⁸': '8',
-  '⁹': '9',
-  '\u1D2C': 'A',
-  '\u1D2E': 'B',
-  '\u1D30': 'D',
-  '\u1D31': 'E',
-  '\u1D33': 'G',
-  '\u1D34': 'H',
-  '\u1D35': 'I',
-  '\u1D36': 'J',
-  '\u1D37': 'K',
-  '\u1D38': 'L',
-  '\u1D39': 'M',
-  '\u1D3A': 'N',
-  '\u1D3C': 'O',
-  '\u1D3E': 'P',
-  '\u1D3F': 'R',
-  '\u1D40': 'T',
-  '\u1D41': 'U',
-  '\u2C7D': 'V',
-  '\u1D42': 'W',
-  '\u1D43': 'a',
-  '\u1D47': 'b',
-  '\u1D9C': 'c',
-  '\u1D48': 'd',
-  '\u1D49': 'e',
-  '\u1DA0': 'f',
-  '\u1D4D': 'g',
-  '\u02B0': 'h',
-  '\u2071': 'i',
-  '\u02B2': 'j',
-  '\u1D4F': 'k',
-  '\u02E1': 'l',
-  '\u1D50': 'm',
-  '\u207F': 'n',
-  '\u1D52': 'o',
-  '\u1D56': 'p',
-  '\u02B3': 'r',
-  '\u02E2': 's',
-  '\u1D57': 't',
-  '\u1D58': 'u',
-  '\u1D5B': 'v',
-  '\u02B7': 'w',
-  '\u02E3': 'x',
-  '\u02B8': 'y',
-  '\u1DBB': 'z',
-  '\u1D5D': 'β',
-  '\u1D5E': 'γ',
-  '\u1D5F': 'δ',
-  '\u1D60': '\u03d5',
-  '\u1D61': 'χ',
-  '\u1DBF': 'θ'
-});
-
-/* eslint no-constant-condition:0 */
-
-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"
-  },
-  "̧": {
-    "text": "\\c"
-  }
-};
-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",
-  "ḉ": "ḉ",
-  "č": "č",
-  "ĉ": "ĉ",
-  "ċ": "ċ",
-  "ç": "ç",
-  "ď": "ď",
-  "ḋ": "ḋ",
-  "ḑ": "ḑ",
-  "é": "é",
-  "è": "è",
-  "ë": "ë",
-  "ẽ": "ẽ",
-  "ē": "ē",
-  "ḗ": "ḗ",
-  "ḕ": "ḕ",
-  "ĕ": "ĕ",
-  "ḝ": "ḝ",
-  "ě": "ě",
-  "ê": "ê",
-  "ế": "ế",
-  "ề": "ề",
-  "ễ": "ễ",
-  "ė": "ė",
-  "ȩ": "ȩ",
-  "ḟ": "ḟ",
-  "ǵ": "ǵ",
-  "ḡ": "ḡ",
-  "ğ": "ğ",
-  "ǧ": "ǧ",
-  "ĝ": "ĝ",
-  "ġ": "ġ",
-  "ģ": "ģ",
-  "ḧ": "ḧ",
-  "ȟ": "ȟ",
-  "ĥ": "ĥ",
-  "ḣ": "ḣ",
-  "ḩ": "ḩ",
-  "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",
-  "ķ": "ķ",
-  "ĺ": "ĺ",
-  "ľ": "ľ",
-  "ļ": "ļ",
-  "ḿ": "ḿ",
-  "ṁ": "ṁ",
-  "ń": "ń",
-  "ǹ": "ǹ",
-  "ñ": "ñ",
-  "ň": "ň",
-  "ṅ": "ṅ",
-  "ņ": "ņ",
-  "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",
-  "ŗ": "ŗ",
-  "ś": "ś",
-  "ṥ": "ṥ",
-  "š": "š",
-  "ṧ": "ṧ",
-  "ŝ": "ŝ",
-  "ṡ": "ṡ",
-  "ş": "ş",
-  "ẗ": "ẗ",
-  "ť": "ť",
-  "ṫ": "ṫ",
-  "ţ": "ţ",
-  "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",
-  "Ḉ": "Ḉ",
-  "Č": "Č",
-  "Ĉ": "Ĉ",
-  "Ċ": "Ċ",
-  "Ç": "Ç",
-  "Ď": "Ď",
-  "Ḋ": "Ḋ",
-  "Ḑ": "Ḑ",
-  "É": "É",
-  "È": "È",
-  "Ë": "Ë",
-  "Ẽ": "Ẽ",
-  "Ē": "Ē",
-  "Ḗ": "Ḗ",
-  "Ḕ": "Ḕ",
-  "Ĕ": "Ĕ",
-  "Ḝ": "Ḝ",
-  "Ě": "Ě",
-  "Ê": "Ê",
-  "Ế": "Ế",
-  "Ề": "Ề",
-  "Ễ": "Ễ",
-  "Ė": "Ė",
-  "Ȩ": "Ȩ",
-  "Ḟ": "Ḟ",
-  "Ǵ": "Ǵ",
-  "Ḡ": "Ḡ",
-  "Ğ": "Ğ",
-  "Ǧ": "Ǧ",
-  "Ĝ": "Ĝ",
-  "Ġ": "Ġ",
-  "Ģ": "Ģ",
-  "Ḧ": "Ḧ",
-  "Ȟ": "Ȟ",
-  "Ĥ": "Ĥ",
-  "Ḣ": "Ḣ",
-  "Ḩ": "Ḩ",
-  "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",
-  "Ķ": "Ķ",
-  "Ĺ": "Ĺ",
-  "Ľ": "Ľ",
-  "Ļ": "Ļ",
-  "Ḿ": "Ḿ",
-  "Ṁ": "Ṁ",
-  "Ń": "Ń",
-  "Ǹ": "Ǹ",
-  "Ñ": "Ñ",
-  "Ň": "Ň",
-  "Ṅ": "Ṅ",
-  "Ņ": "Ņ",
-  "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",
-  "Ŗ": "Ŗ",
-  "Ś": "Ś",
-  "Ṥ": "Ṥ",
-  "Š": "Š",
-  "Ṧ": "Ṧ",
-  "Ŝ": "Ŝ",
-  "Ṡ": "Ṡ",
-  "Ş": "Ş",
-  "Ť": "Ť",
-  "Ṫ": "Ṫ",
-  "Ţ": "Ţ",
-  "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 {
-      // 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; // Close any leftover groups in case of a parse error.
-    } finally {
-      this.gullet.endGroups();
-    }
-  }
-  /**
-   * Fully parse a separate sequence of tokens as a separate job.
-   * Tokens should be specified in reverse order, as in a MacroDefinition.
-   */
-
-
-  subparse(tokens) {
-    // Save the next token from the current job.
-    var oldToken = this.nextToken;
-    this.consume(); // Run the new job, terminating it with an excess '}'
-
-    this.gullet.pushToken(new Token("}"));
-    this.gullet.pushTokens(tokens);
-    var parse = this.parseExpression(false);
-    this.expect("}"); // Restore the next token from the current job.
-
-    this.nextToken = oldToken;
-    return parse;
-  }
-
-  /**
-   * 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 precedence 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.
-   */
-  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 && functions[lex.text] && 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 {}.
-   */
-
-
-  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 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;
-    }
-  }
-  /**
-   * Handle a subscript or superscript with nice errors.
-   */
-
-
-  handleSupSubscript(name // For error reporting.
-  ) {
-    var symbolToken = this.fetch();
-    var symbol = symbolToken.text;
-    this.consume();
-    this.consumeSpaces(); // ignore spaces before sup/subscript argument
-
-    var group = this.parseGroup(name);
-
-    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) {
-    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.
-   */
-
-
-  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", 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") {
-          if (base.alwaysHandleSupSub) {
-            base.limits = lex.text === "\\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);
-        }
-
-        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 (uSubsAndSups[lex.text]) {
-        // A Unicode subscript or superscript character.
-        // We treat these similarly to the unicode-math package.
-        // So we render a string of Unicode (sub|super)scripts the
-        // same as a (sub|super)script of regular characters.
-        var str = uSubsAndSups[lex.text];
-        var isSub = unicodeSubRegEx.test(lex.text);
-        this.consume(); // Continue fetching tokens to fill out the string.
-
-        while (true) {
-          var token = this.fetch().text;
-
-          if (!uSubsAndSups[token]) {
-            break;
-          }
-
-          if (unicodeSubRegEx.test(token) !== isSub) {
-            break;
-          }
-
-          this.consume();
-          str += uSubsAndSups[token];
-        } // Now create a (sub|super)script.
-
-
-        var body = new Parser(str, this.settings).parse();
-
-        if (isSub) {
-          subscript = {
-            type: "ordgroup",
-            mode: "math",
-            body
-          };
-        } else {
-          superscript = {
-            type: "ordgroup",
-            mode: "math",
-            body
-          };
-        }
-      } 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 determining its context
-  ) {
-    var token = this.fetch();
-    var func = token.text;
-    var funcData = functions[func];
-
-    if (!funcData) {
-      return null;
-    }
-
-    this.consume(); // consume command token
-
-    if (name && name !== "atom" && !funcData.allowedInArgument) {
-      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);
-    }
-
-    var {
-      args,
-      optArgs
-    } = this.parseArguments(func, funcData);
-    return this.callFunction(func, args, optArgs, token, breakOnTokenText);
-  }
-  /**
-   * Call a function handler with a suitable context and arguments.
-   */
-
-
-  callFunction(name, args, optArgs, token, breakOnTokenText) {
-    var context = {
-      funcName: name,
-      parser: this,
-      token,
-      breakOnTokenText
-    };
-    var 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) {
-    var totalArgs = funcData.numArgs + funcData.numOptionalArgs;
-
-    if (totalArgs === 0) {
-      return {
-        args: [],
-        optArgs: []
-      };
-    }
-
-    var args = [];
-    var optArgs = [];
-
-    for (var i = 0; i < totalArgs; i++) {
-      var argType = funcData.argTypes && funcData.argTypes[i];
-      var isOptional = i < funcData.numOptionalArgs;
-
-      if (funcData.primitive && argType == null || // \sqrt expands into primitive if optional argument doesn't exist
-      funcData.type === "sqrt" && i === 1 && optArgs[0] == null) {
-        argType = "primitive";
-      }
-
-      var arg = this.parseGroupOfType("argument to '" + func + "'", argType, isOptional);
-
-      if (isOptional) {
-        optArgs.push(arg);
-      } else if (arg != null) {
-        args.push(arg);
-      } else {
-        // should be unreachable
-        throw new ParseError("Null argument, please report this as a bug");
-      }
-    }
-
-    return {
-      args,
-      optArgs
-    };
-  }
-  /**
-   * Parses a group when the mode is changing.
-   */
-
-
-  parseGroupOfType(name, type, optional) {
-    switch (type) {
-      case "color":
-        return this.parseColorGroup(optional);
-
-      case "size":
-        return this.parseSizeGroup(optional);
-
-      case "url":
-        return this.parseUrlGroup(optional);
-
-      case "math":
-      case "text":
-        return this.parseArgumentGroup(optional, type);
-
-      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.parseArgumentGroup(optional, "text");
-          return group != null ? {
-            type: "styling",
-            mode: group.mode,
-            body: [group],
-            style: "text" // simulate \textstyle
-
-          } : null;
-        }
-
-      case "raw":
-        {
-          var token = this.parseStringGroup("raw", optional);
-          return token != null ? {
-            type: "raw",
-            mode: "text",
-            string: token.text
-          } : null;
-        }
-
-      case "primitive":
-        {
-          if (optional) {
-            throw new ParseError("A primitive argument cannot be optional");
-          }
-
-          var _group = this.parseGroup(name);
-
-          if (_group == null) {
-            throw new ParseError("Expected group as " + name, this.fetch());
-          }
-
-          return _group;
-        }
-
-      case "original":
-      case null:
-      case undefined:
-        return this.parseArgumentGroup(optional);
-
-      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) {
-    var argToken = this.gullet.scanArgument(optional);
-
-    if (argToken == null) {
-      return null;
-    }
-
-    var str = "";
-    var nextToken;
-
-    while ((nextToken = this.fetch()).text !== "EOF") {
-      str += nextToken.text;
-      this.consume();
-    }
-
-    this.consume(); // consume the end of the argument
-
-    argToken.text = str;
-    return argToken;
-  }
-  /**
-   * 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 // Used to describe the mode in error messages.
-  ) {
-    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 ParseError("Invalid " + modeName + ": '" + firstToken.text + "'", firstToken);
-    }
-
-    return firstToken.range(lastToken, str);
-  }
-  /**
-   * Parses a color description.
-   */
-
-
-  parseColorGroup(optional) {
-    var res = this.parseStringGroup("color", optional);
-
-    if (res == null) {
-      return null;
-    }
-
-    var match = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(res.text);
-
-    if (!match) {
-      throw new ParseError("Invalid color: '" + res.text + "'", res);
-    }
-
-    var color = match[0];
-
-    if (/^[0-9a-f]{6}$/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
-    };
-  }
-  /**
-   * Parses a size specification, consisting of magnitude and unit.
-   */
-
-
-  parseSizeGroup(optional) {
-    var res;
-    var isBlank = false; // don't expand before parseStringGroup
-
-    this.gullet.consumeSpaces();
-
-    if (!optional && this.gullet.future().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 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 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) {
-    this.gullet.lexer.setCatcode("%", 13); // active character
-
-    this.gullet.lexer.setCatcode("~", 12); // other character
-
-    var res = this.parseStringGroup("url", optional);
-    this.gullet.lexer.setCatcode("%", 14); // comment character
-
-    this.gullet.lexer.setCatcode("~", 13); // active character
-
-    if (res == null) {
-      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
-    };
-  }
-  /**
-   * Parses an argument with the mode specified.
-   */
-
-
-  parseArgumentGroup(optional, mode) {
-    var argToken = this.gullet.scanArgument(optional);
-
-    if (argToken == null) {
-      return null;
-    }
-
-    var outerMode = this.mode;
-
-    if (mode) {
-      // Switch to specified mode
-      this.switchMode(mode);
-    }
-
-    this.gullet.beginGroup();
-    var expression = this.parseExpression(false, "EOF"); // TODO: find an alternative way to denote the end
-
-    this.expect("EOF"); // expect the end of the argument
-
-    this.gullet.endGroup();
-    var result = {
-      type: "ordgroup",
-      mode: this.mode,
-      loc: argToken.loc,
-      body: expression
-    };
-
-    if (mode) {
-      // Switch mode back
-      this.switchMode(outerMode);
-    }
-
-    return result;
-  }
-  /**
-   * 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.
-   */
-
-
-  parseGroup(name, // For error reporting.
-  breakOnTokenText) {
-    var firstToken = this.fetch();
-    var text = firstToken.text;
-    var result; // Try to parse an open brace or \begingroup
-
-    if (text === "{" || text === "\\begingroup") {
-      this.consume();
-      var groupEnd = text === "{" ? "}" : "\\endgroup";
-      this.gullet.beginGroup(); // If we get a brace, parse an expression
-
-      var expression = this.parseExpression(false, groupEnd);
-      var lastToken = this.fetch();
-      this.expect(groupEnd); // Check that we got a matching closing brace
-
-      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 there exists a function with this name, parse the function.
-      // Otherwise, just return a nucleus
-      result = this.parseFunction(breakOnTokenText, name) || 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();
-      }
-    }
-
-    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) {
-    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.
-   */
-
-
-  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 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
-      };
-    } // 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.slice(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 (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 = 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,
-          loc,
-          text
-        };
-      } else {
-        // $FlowFixMe
-        s = {
-          type: group,
-          mode: this.mode,
-          loc,
-          text
-        };
-      } // $FlowFixMe
-
-
-      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 (var i = 0; i < match[0].length; i++) {
-        var accent = match[0][i];
-
-        if (!unicodeAccents[accent]) {
-          throw new ParseError("Unknown accent ' " + accent + "'", nucleus);
-        }
-
-        var command = unicodeAccents[accent][this.mode] || unicodeAccents[accent].text;
-
-        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,
-          // $FlowFixMe
-          base: symbol
-        };
-      }
-    } // $FlowFixMe
-
-
-    return symbol;
-  }
-
-}
-Parser.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"];
-
-/**
- * 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 = 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(toParse, settings); // Blank out any \df@tag to avoid spurious "Duplicate \tag" errors
-
-  delete parser.gullet.macros.current["\\df@tag"];
-  var tree = parser.parse(); // Prevent a color definition from persisting between calls to katex.render().
-
-  delete parser.gullet.macros.current["\\current@color"];
-  delete parser.gullet.macros.current["\\color"]; // 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");
-    }
-
-    tree = [{
-      type: "tag",
-      mode: "text",
-      body: tree,
-      tag: parser.subparse([new Token("\\df@tag")])
-    }];
-  }
-
-  return tree;
-};
-
-/* eslint no-console:0 */
-
-/**
- * Parse and build an expression, and place that expression in the DOM node
- * given.
- */
-var render = function render(expression, baseNode, options) {
-  baseNode.textContent = "";
-  var 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.
- */
-
-
-var renderToString = function renderToString(expression, options) {
-  var markup = renderToDomTree(expression, options).toMarkup();
-  return markup;
-};
-/**
- * Parse an expression and return the parse tree.
- */
-
-
-var generateParseTree = function generateParseTree(expression, options) {
-  var 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.
- */
-
-
-var renderError = function renderError(error, expression, options) {
-  if (options.throwOnError || !(error instanceof ParseError)) {
-    throw error;
-  }
-
-  var 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).
- */
-
-
-var renderToDomTree = function renderToDomTree(expression, options) {
-  var settings = new Settings(options);
-
-  try {
-    var 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).
- */
-
-
-var renderToHTMLTree = function renderToHTMLTree(expression, options) {
-  var settings = new Settings(options);
-
-  try {
-    var tree = parseTree(expression, settings);
-    return buildHTMLTree(tree, expression, settings);
-  } catch (error) {
-    return renderError(error, expression, settings);
-  }
-};
-
-var katex = {
-  /**
-   * Current KaTeX version
-   */
-  version: "0.16.7",
-
-  /**
-   * 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,
-
-  /**
-   * The shema of Settings
-   */
-  SETTINGS_SCHEMA,
-
-  /**
-   * 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 function to builtin function list,
-   * which directly produce parse tree elements
-   * and have their own html/mathml builders
-   */
-  __defineFunction: defineFunction,
-
-  /**
-   * 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 { katex as default };
diff --git a/assets/main.scss b/assets/main.scss
deleted file mode 100644
index f0fe3fa..0000000
--- a/assets/main.scss
+++ /dev/null
@@ -1,7 +0,0 @@
----
----
-
-// $base-font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol" !default;
-// $brand-color: #FF757D!default;
-
-@import "minima";
diff --git a/astro.config.mjs b/astro.config.mjs
new file mode 100644
index 0000000..14ac165
--- /dev/null
+++ b/astro.config.mjs
@@ -0,0 +1,18 @@
+import { defineConfig } from 'astro/config';
+import tailwind from '@astrojs/tailwind';
+import remarkMath from 'remark-math';
+import rehypeKatex from 'rehype-katex';
+
+export default defineConfig({
+  site: 'https://mrandri19.github.io',
+  output: 'static',
+  build: { format: 'file' },
+  integrations: [tailwind()],
+  markdown: {
+    remarkPlugins: [remarkMath],
+    rehypePlugins: [rehypeKatex],
+    shikiConfig: {
+      themes: { light: 'catppuccin-latte', dark: 'catppuccin-mocha' },
+    },
+  },
+});
diff --git a/blog.md b/blog.md
deleted file mode 100644
index 0671507..0000000
--- a/blog.md
+++ /dev/null
@@ -1,6 +0,0 @@
----
-# Feel free to add content and custom Front Matter to this file.
-# To modify the layout, see https://jekyllrb.com/docs/themes/#overriding-theme-defaults
-
-layout: home
----
diff --git a/index-style.css b/index-style.css
deleted file mode 100644
index 2952b21..0000000
--- a/index-style.css
+++ /dev/null
@@ -1,85 +0,0 @@
-@tailwind base;
-@tailwind components;
-@tailwind utilities;
-
-/* @font-face {
-  font-family: Source Sans Pro;
-  src: url('./Source_Sans_Pro/SourceSansPro-Regular.ttf');
-  font-weight: normal;
-}
-
-@font-face {
-  font-family: Source Sans Pro;
-  src: url('./Source_Sans_Pro/SourceSansPro-Bold.ttf');
-  font-weight: bold;
-} */
-
-@font-face {
-    font-family: Source Serif Pro;
-    src: url('./Source_Serif_Pro/SourceSerif4-Regular.ttf');
-}
-
-main>section {
-    @apply mb-7;
-}
-
-main ul li {
-    @apply mb-5;
-}
-
-#projects ul > li:not(.cf) {
-    @apply flex;
-}
-
-#projects ul > li:not(.cf)::before {
-    content: "•";
-    @apply text-gray-400/60 mr-2 shrink-0;
-}
-
-main ul ul li {
-    @apply mb-1;
-}
-
-#projects>section>h3 {
-    @apply border-t border-gray-300 dark:border-gray-700 pt-2 mt-4;
-}
-
-#projects>section:first-of-type>h3 {
-    @apply border-t-0 mt-0;
-}
-
-main ul a {
-    @apply no-underline hover:underline text-blue-500;
-}
-
-p {
-    @apply font-serif mb-2;
-}
-
-p:last-child {
-    @apply mb-0;
-}
-
-main ul img {
-    @apply shadow-md;
-}
-
-.cf:before,
-.cf:after {
-    content: " ";
-    /* 1 */
-    display: table;
-    /* 2 */
-}
-
-.cf:after {
-    clear: both;
-}
-
-/**
- * For IE 6/7 only
- * Include this rule to trigger hasLayout and contain floats.
- */
-.cf {
-    *zoom: 1;
-}
diff --git a/index-style.out.css b/index-style.out.css
deleted file mode 100644
index a65cda2..0000000
--- a/index-style.out.css
+++ /dev/null
@@ -1,914 +0,0 @@
-/*
-! tailwindcss v3.1.8 | MIT License | https://tailwindcss.com
-*/
-
-/*
-1. Prevent padding and border from affecting element width. (https://github.com/mozdevs/cssremedy/issues/4)
-2. Allow adding a border to an element by just adding a border-width. (https://github.com/tailwindcss/tailwindcss/pull/116)
-*/
-
-*,
-::before,
-::after {
-  box-sizing: border-box;
-  /* 1 */
-  border-width: 0;
-  /* 2 */
-  border-style: solid;
-  /* 2 */
-  border-color: #e5e7eb;
-  /* 2 */
-}
-
-::before,
-::after {
-  --tw-content: '';
-}
-
-/*
-1. Use a consistent sensible line-height in all browsers.
-2. Prevent adjustments of font size after orientation changes in iOS.
-3. Use a more readable tab size.
-4. Use the user's configured `sans` font-family by default.
-*/
-
-html {
-  line-height: 1.5;
-  /* 1 */
-  -webkit-text-size-adjust: 100%;
-  /* 2 */
-  -moz-tab-size: 4;
-  /* 3 */
-  -o-tab-size: 4;
-     tab-size: 4;
-  /* 3 */
-  font-family: sans-serif;
-  /* 4 */
-}
-
-/*
-1. Remove the margin in all browsers.
-2. Inherit line-height from `html` so users can set them as a class directly on the `html` element.
-*/
-
-body {
-  margin: 0;
-  /* 1 */
-  line-height: inherit;
-  /* 2 */
-}
-
-/*
-1. Add the correct height in Firefox.
-2. Correct the inheritance of border color in Firefox. (https://bugzilla.mozilla.org/show_bug.cgi?id=190655)
-3. Ensure horizontal rules are visible by default.
-*/
-
-hr {
-  height: 0;
-  /* 1 */
-  color: inherit;
-  /* 2 */
-  border-top-width: 1px;
-  /* 3 */
-}
-
-/*
-Add the correct text decoration in Chrome, Edge, and Safari.
-*/
-
-abbr:where([title]) {
-  -webkit-text-decoration: underline dotted;
-          text-decoration: underline dotted;
-}
-
-/*
-Remove the default font size and weight for headings.
-*/
-
-h1,
-h2,
-h3,
-h4,
-h5,
-h6 {
-  font-size: inherit;
-  font-weight: inherit;
-}
-
-/*
-Reset links to optimize for opt-in styling instead of opt-out.
-*/
-
-a {
-  color: inherit;
-  text-decoration: inherit;
-}
-
-/*
-Add the correct font weight in Edge and Safari.
-*/
-
-b,
-strong {
-  font-weight: bolder;
-}
-
-/*
-1. Use the user's configured `mono` font family by default.
-2. Correct the odd `em` font sizing in all browsers.
-*/
-
-code,
-kbd,
-samp,
-pre {
-  font-family: ui-monospace, SFMono-Regular, Menlo, Monaco, Consolas, 'Liberation Mono', 'Courier New', monospace;
-  /* 1 */
-  font-size: 1em;
-  /* 2 */
-}
-
-/*
-Add the correct font size in all browsers.
-*/
-
-small {
-  font-size: 80%;
-}
-
-/*
-Prevent `sub` and `sup` elements from affecting the line height in all browsers.
-*/
-
-sub,
-sup {
-  font-size: 75%;
-  line-height: 0;
-  position: relative;
-  vertical-align: baseline;
-}
-
-sub {
-  bottom: -0.25em;
-}
-
-sup {
-  top: -0.5em;
-}
-
-/*
-1. Remove text indentation from table contents in Chrome and Safari. (https://bugs.chromium.org/p/chromium/issues/detail?id=999088, https://bugs.webkit.org/show_bug.cgi?id=201297)
-2. Correct table border color inheritance in all Chrome and Safari. (https://bugs.chromium.org/p/chromium/issues/detail?id=935729, https://bugs.webkit.org/show_bug.cgi?id=195016)
-3. Remove gaps between table borders by default.
-*/
-
-table {
-  text-indent: 0;
-  /* 1 */
-  border-color: inherit;
-  /* 2 */
-  border-collapse: collapse;
-  /* 3 */
-}
-
-/*
-1. Change the font styles in all browsers.
-2. Remove the margin in Firefox and Safari.
-3. Remove default padding in all browsers.
-*/
-
-button,
-input,
-optgroup,
-select,
-textarea {
-  font-family: inherit;
-  /* 1 */
-  font-size: 100%;
-  /* 1 */
-  font-weight: inherit;
-  /* 1 */
-  line-height: inherit;
-  /* 1 */
-  color: inherit;
-  /* 1 */
-  margin: 0;
-  /* 2 */
-  padding: 0;
-  /* 3 */
-}
-
-/*
-Remove the inheritance of text transform in Edge and Firefox.
-*/
-
-button,
-select {
-  text-transform: none;
-}
-
-/*
-1. Correct the inability to style clickable types in iOS and Safari.
-2. Remove default button styles.
-*/
-
-button,
-[type='button'],
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diff --git a/package-lock.json b/package-lock.json
index 70a3734..5267741 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -5,1042 +5,9308 @@
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+        "node": ">=10"
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+      "funding": {
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-      "engines": {
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+      "license": "MIT"
+    },
+    "node_modules/@astrojs/internal-helpers": {
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+      "resolved": "https://registry.npmjs.org/@astrojs/internal-helpers/-/internal-helpers-0.4.1.tgz",
+      "integrity": "sha512-bMf9jFihO8YP940uD70SI/RDzIhUHJAolWVcO1v5PUivxGKvfLZTLTVVxEYzGYyPsA3ivdLNqMnL5VgmQySa+g==",
+      "license": "MIT"
+    },
+    "node_modules/@astrojs/markdown-remark": {
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+      "license": "MIT",
+      "dependencies": {
+        "@astrojs/prism": "3.1.0",
+        "github-slugger": "^2.0.0",
+        "hast-util-from-html": "^2.0.3",
+        "hast-util-to-text": "^4.0.2",
+        "import-meta-resolve": "^4.1.0",
+        "mdast-util-definitions": "^6.0.0",
+        "rehype-raw": "^7.0.0",
+        "rehype-stringify": "^10.0.1",
+        "remark-gfm": "^4.0.0",
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+        "remark-rehype": "^11.1.1",
+        "remark-smartypants": "^3.0.2",
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diff --git a/src/content/config.ts b/src/content/config.ts
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index 0000000..4963779
--- /dev/null
+++ b/src/content/config.ts
@@ -0,0 +1,12 @@
+import { defineCollection, z } from 'astro:content';
+
+const posts = defineCollection({
+  type: 'content',
+  schema: z.object({
+    title: z.string(),
+    author: z.string().optional(),
+    draft: z.boolean().optional().default(false),
+  }),
+});
+
+export const collections = { posts };
diff --git a/src/content/posts/2018-06-24-how-much-of-npm-will-you-break.md b/src/content/posts/2018-06-24-how-much-of-npm-will-you-break.md
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index 0000000..6cc606f
--- /dev/null
+++ b/src/content/posts/2018-06-24-how-much-of-npm-will-you-break.md
@@ -0,0 +1,228 @@
+---
+title: "How much of npm can you break?"
+author: andrea
+---
+
+## Story
+
+The `left-pad` module was removed from npm on the 22nd of March 2016 and, some
+hours later, restored. In this small time window many packages such as Babel
+could not be installed anymore due to their dependencies on this module.
+
+This event surfaced a vast issue in the nodejs ecosystem: the over-reliance on
+external code. Introducing an external dependency may introduce vulnerabilities
+and weaken the robustness of your application, so be cautious.
+
+## The website
+
+[This website](http://howmuchofnpmcanyoubreak.tk/) was made to make people realize how many popular packages depend
+on smaller ones which could be easily compromised, therefore infecting a large
+segment of the ecosystem. There is no reason for over 40k packages to depend on
+an [8 line package](https://github.com/jonschlinkert/is-number/blob/master/index.js).
+
+## How I made it
+
+The idea was simple, choose a package and recursively traverse npm to find all
+of the packages that depend upon it, after all the npm website offers a 'Dependents'
+tab on a package's page. I had not anticipated the issues that made this an interesting
+technical problem.
+
+### The first version (Typescript)
+
+It took me some time but after reading the CouchDB docs and analyzing [skimdb.npmjs.com](https://skimdb.npmjs.com/)
+I found the endpoint I needed: `https://skimdb.npmjs.com/registry/_design/app/_view/dependedUpon?startkey=["is-odd"]&endkey=["is-odd",{}]&reduce=false`
+
+This url will return a JSON file which lists all of the packages that depend upon `is-odd`.
+
+With this information I wrote [the first version](https://gist.github.com/mrandri19/90819f8abbc9afb05e0b3b1ff41e3d6f):
+a pretty straightforward typescript crawler, which will start from a package,
+download all of its dependents and then recursively download their dependents
+until it gets to a package that nobody depends upon. This is where the fist
+issue surfaced: circular dependencies.
+
+This was quite easily resolved by adding a list of packages which have been
+downloaded already and, every time the recursive function `get_dependents(package_name)` is
+called, the presence of `package_name` in the list is checked. If a package is
+in the list it means that we have already downloaded it so there is no reason to
+download it and its dependents again. It is a sort of memoization.
+
+Unfortunately this approach did not work for any decently sized package:
+after over 30k requests and 5 minutes of waiting I could not count the
+packages dependent on `is-odd`. Making an http request for each package
+was way too slow.
+
+### The second version (C++)
+
+While analyzing the npm registry I found that if `startkey` and `endkey` are not set in
+`https://skimdb.npmjs.com/registry/_design/app/_view/dependedUpon?startkey=["is-odd"]&endkey=["is-odd",{}]&reduce=false`
+ then CouchDB will return **ALL** of the dependecies for all packages.
+Downloading the file will give you a 220MB JSON file with everything you need.
+
+This however, while solving the download time issue, created another one: how
+do you parse and efficiently traverse a 1.8M line JSON file? [RapidJSON](http://rapidjson.org/) it is.
+
+So I downloaded RapidJSON, and wrote [a C++ program](https://gist.github.com/mrandri19/5263ee93399c724a019fbc62a1d7a0a4)
+which was almost a direct translation of the nodejs one, but instead of downloading the packages, it would query the JSON
+using rapidJSON's DOM api.
+
+This worked but it was veeery slow, it took about `20.7` seconds to count the dependecies
+of `jayson` (197 dependencies, if you were wondering).
+
+#### Removing recursion
+
+My first optimization was removing the recursion: counting the number of unique
+dependent packages boils down to a Depth First Search.
+
+```python
+tree = Tree()
+
+def dfs(leaf):
+    # Process the node
+    print(node.value)
+
+    # Recursively traverse the tree
+    for child in node.children:
+        dfs(child)
+
+dfs(tree)
+
+```
+
+<span id="backnote1"></span>
+This is a recursive implementation of a depth first search but it is not very
+efficient, especially on languages without TCO (tail call optimization).[<sup>[1]</sup>](#note1)
+
+To rewrite this without any form of recursion a [stack](https://en.wikipedia.org/wiki/Stack_(abstract_data_type))
+is needed and you can rewrite the pseudocode like this.
+
+```python
+tree = Tree()
+
+s = Stack()
+
+s.push(tree)
+while not s.isEmpty():
+    node = stack.pop()
+
+    # Process the node
+    print(node.value)
+
+    # Fill the stack with its children
+    for child in node.childer:
+        s.push(child)
+```
+
+Unfortunately this optimization, while precious for later, right now was almost useless:
+the average time needed to count the dependencies of `jayson` went from `20.5-21s`
+to `20-20.5s`. Almost unnoticeable.
+
+#### Finding the bottleneck
+
+After removing the recursion (which I naively thought was the main performance issue) I
+started looking for other problems and ways to speed it up more.
+
+The main issue was that every time we need to get a pacakge's dependencies, all
+of the lines in the JSON file need to be scanned to find the dependencies. This
+is $O(n)$, especially slow if that $n$ is around 1.8 Million.
+
+```c++
+vector<string> deps;
+
+int n = 0;
+
+// For each line in the file
+for (const auto& row : rows.GetArray()) {
+    // Iterate through the "key" array, usually short so no big bottleneck
+    for (const auto& key : row["key"].GetArray()) {
+        if (key == package_name.c_str() && row["id"] != package_name.c_str()) {
+            // Get the dependet package's name
+            auto id = row["id"].GetString();
+
+            // Add the packages that depend on `package_name` to a list
+            deps.push_back(id);
+
+            // Increment the count of the total dependents
+            n++;
+        }
+    }
+}
+```
+
+For example: to get all of the packages that depend on `is-odd` you need to scan
+all of the lines and you will find something like this:
+
+```json
+{"id":"3kencoder","key":["is-odd","3kencoder",""],"value":1},
+{"id":"a_react_reflux_demo","key":["is-odd","a_react_reflux_demo","this is a demo just"],"value":1},
+{"id":"dk_2018_1_1","key":["is-odd","dk_2018_1_1","狙击时刻"],"value":1},
+{"id":"is-even","key":["is-odd","is-even","Return true if the given number is even."],"value":1},
+{"id":"is-oddnt","key":["is-odd","is-oddnt","Returns true if the given number is oddn't or isn't an integer that does not exceed the JavaScript MAXIMUM_SAFE_INTEGER."],"value":1},
+{"id":"miguelcostero-ng2-toasty","key":["is-odd","miguelcostero-ng2-toasty","Angular2 Toasty component shows growl-style alerts and messages for your web app"],"value":1},
+{"id":"minimal-handlebars-helpers","key":["is-odd","minimal-handlebars-helpers","minimal handlebars helpers for browser"],"value":1},
+{"id":"nanomatch","key":["is-odd","nanomatch","Fast, minimal glob matcher for node.js. Similar to micromatch, minimatch and multimatch, but complete Bash 4.3 wildcard support only (no support for exglobs, posix brackets or braces)"],"value":1},
+{"id":"odd","key":["is-odd","odd","Get the odd numbered items from an array."],"value":1},
+{"id":"react-native-handcheque-engine","key":["is-odd","react-native-handcheque-engine","## Getting started"],"value":1},
+{"id":"react-native-version-manager","key":["is-odd","react-native-version-manager","Get version of application(Gradle) using react-native "],"value":1},
+{"id":"react-redux-demo1","key":["is-odd","react-redux-demo1","thi is a demo just"],"value":1},
+{"id":"vue-size-tracker","key":["is-odd","vue-size-tracker","Track size of screen, window, element"],"value":1},
+```
+
+<span id="backnote2"></span>
+If this were a database then adding an index on the `key` column would be enough,
+but since we are not using one we need to implement the index ourserves.
+We will store the data in an `HashMap`.[<sup>[2]</sup>](#note2)
+
+This led to the third and final rewrite of the program. Which language? R U S T
+obviously.
+
+### The third and final version (Rust)
+
+In [the Rust version](https://github.com/mrandri19/jenga) the hasmap is built like this:
+
+For each line in the file, get the id of the package and its dependent, then insert
+it into the hashmap which maps a package's id to its dependents id.
+
+```rust
+type DependeciesMap = HashMap<String, Vec<String>>;
+
+fn create_dependencies_map(dependencies_path: &Path) -> Result<DependeciesMap> {
+    // Remeber, I've removed first and last line and then added a comma at the
+    // end of the second-last
+    let file = File::open(dependencies_path)?;
+
+    let mut dependents: DependeciesMap = HashMap::new();
+
+    for line_opt in BufReader::new(file).lines() {
+        let mut line = line_opt?;
+
+        line.pop(); // Remove trailing comma
+
+        let v: Value = serde_json::from_str(&line)?;
+
+        let id = (&v["key"][0]).as_str().unwrap().to_owned();
+        let dependent = (&v["id"]).as_str().unwrap().to_owned();
+
+        let deps = dependents.entry(id).or_insert(vec![]);
+        (*deps).push(dependent.to_string());
+    }
+
+    Ok(dependents)
+}
+```
+
+
+This map gets created in less than 3 seconds and querying for `lodash`, the
+most depended upon package takes less than 150ms.
+
+I've then created using [Rocket](https://rocket.rs) a simple frontend to this
+script so that you can try it too. Check it out at [http://howmuchofnpmcanyoubreak.ml/](http://howmuchofnpmcanyoubreak.ml/)
+
+## Notes
+<span id="note1"></span>
+<a href="#backnote1">1.</a> This function will still need to be rewritten to benefit from TCO, in this form (recursive calls inside a for)
+it will not get optimised at all.
+
+
+<span id="note2"></span>
+<a href="#backnote2">2.</a> I believe that when an index is created in a database the data structure behind that is a B-Tree which has
+$O(\log{n})$ index access.
diff --git a/src/content/posts/2019-07-18-modern-text-rendering-linux-ep1.md b/src/content/posts/2019-07-18-modern-text-rendering-linux-ep1.md
new file mode 100644
index 0000000..be96aac
--- /dev/null
+++ b/src/content/posts/2019-07-18-modern-text-rendering-linux-ep1.md
@@ -0,0 +1,286 @@
+---
+
+title: "Modern text rendering with Linux: Part 1"
+author: andrea
+---
+
+## Introduction
+
+Welcome to part 1 of Modern text rendering in Linux.
+In each part of this series we will build a self-contained C program to render a character or sequence of characters.
+Each of these programs will implement a feature which I consider essential to achieve state of the art text rendering.
+
+In this first part I will show how to setup FreeType and we will build a console character renderer.
+
+<img alt="The 'a' glyph rendered in a terminal emulator console"
+     src="/assets/images/modern-text-rendering-linux-ep1/image.png"
+     style="max-width: 20rem; display: block; margin: auto;"/>
+
+This is what you will build. And [here](https://gist.github.com/mrandri19/245237a6bde246f119ab2b6245e540ba) is the code.
+
+## Setup
+
+- My operating system is `Ubuntu 18.04.2 LTS (bionic)`
+- My C compiler is `clang version 6.0.0-1ubuntu2`
+
+### Installing FreeType
+
+On Ubuntu you will need to install FreeType and libpng
+
+```shell
+$ sudo apt install libfreetype6 libfreetype6-dev
+$ sudo apt install libpng16-16 libpng-dev
+```
+
+- My FreeType version is `2.8.1-2ubuntu2`although, at the time of writing, the most recent version is `FreeType-2.10.1` which will work as well
+- My libpng version `(1.6.34-1ubuntu0.18.04.2)`
+
+## The console renderer
+
+#### Create your C file (`main.c` in my case)
+
+```c
+#include <stdio.h>
+
+int main() {
+  printf("Hello, world\n");
+  return 0;
+}
+```
+
+```shell
+$ clang -Wall -Werror -o main main.c
+$ ./main
+Hello, world
+```
+
+#### Include the FreeType libraries
+
+To find the include path (i.e. the directories your compiler traverses when searching for the files you `#include`) for FreeType run:
+
+```shell
+$ pkg-config --cflags freetype2
+-I/usr/include/freetype2 -I/usr/include/libpng16
+```
+
+This line `-I/usr/include/freetype2 -I/usr/include/libpng16` contains the compilation flags needed to include FreeType in the C program
+
+```c
+#include <stdio.h>
+
+#include <freetype2/ft2build.h>
+#include FT_FREETYPE_H
+
+int main() {
+  printf("Hello, world\n");
+  return 0;
+}
+```
+
+```shell
+$ clang -I/usr/include/freetype2 \
+        -I/usr/include/libpng16  \
+        -Wall -Werror            \
+        -o main                  \
+         main.c
+$ ./main
+Hello, world
+```
+
+#### Print FreeType's version
+
+Inside `main()` initialize FreeType using `FT_Init_FreeType(&ft)` and check for errors (FreeType functions return 0 on success).
+
+(From now on all the functions I will use come from the [FreeType API Reference](https://www.freetype.org/freetype2/docs/reference/index.html)).
+
+```c
+FT_Library ft;
+FT_Error err = FT_Init_FreeType(&ft);
+if (err != 0) {
+  printf("Failed to initialize FreeType\n");
+  exit(EXIT_FAILURE);
+}
+```
+
+Then using `FT_Library_Version` obtain the version.
+
+```c
+
+FT_Int major, minor, patch;
+FT_Library_Version(ft, &major, &minor, &patch);
+printf("FreeType's version is %d.%d.%d\n", major, minor, patch);
+```
+
+If we compile it using the last command we will have a linker error:
+
+```
+/tmp/main-d41304.o: In function `main':
+main.c:(.text+0x14): undefined reference to `FT_Init_FreeType'
+main.c:(.text+0x54): undefined reference to `FT_Library_Version'
+clang: error: linker command failed with exit code 1 (use -v to see invocation)
+```
+
+To fix it add `-lfreetype`
+
+```shell
+$ clang -I/usr/include/freetype2 \
+        -I/usr/include/libpng16  \
+        -Wall -Werror            \
+        -o main                  \
+        -lfreetype               \
+         main.c
+$ ./main
+FreeType's version is 2.8.1
+```
+
+#### Loading a font face
+
+The first step to render a character is to load the font file. I am using [ubuntu mono](https://fonts.google.com/specimen/Ubuntu+Mono).
+
+To understand the exact difference between _face_, _family_ and _font_ refer to the [FreeType Docs](https://www.freetype.org/freetype2/docs/glyphs/glyphs-1.html#section-1).
+
+The third argument is called the _face index_, which was created to allow font creators to embed several faces in a single font size.
+Because every font has at least 1 face in it 0 will always work and will select the first one.
+
+```c
+FT_Face face;
+err = FT_New_Face(ft, "./UbuntuMono.ttf", 0, &face);
+if (err != 0) {
+  printf("Failed to load face\n");
+  exit(EXIT_FAILURE);
+}
+```
+
+#### Setting the face's pixel size
+
+With this instruction we tell FreeType our desired width and height for the rendered characters.
+
+We can omit the width by passing 0, FreeType will interpret this as: "same as the other", in this case 32px.
+This can be used to render a character with e.g. 10px width and 16px height.
+
+This operation can fail on a fixed-size face, which we will encounter when talking about emojis.
+
+```c
+err = FT_Set_Pixel_Sizes(face, 0, 32);
+if (err != 0) {
+  printf("Failed to set pixel size\n");
+  exit(EXIT_FAILURE);
+}
+```
+
+#### Getting the character's index
+
+First of all let's go back to the [FreeType docs](https://www.freetype.org/freetype2/docs/glyphs/glyphs-1.html#section-2) and establish a naming convention.
+A character is not the same thing as a _glyph_. A character is what you have in your `char`, a glyph is an image which is in some way relater to that character.
+This relation is quite complex because a char can correspond to many glyphs: i.e. accents. A glyph can correspond to many chars: i.e. ligatures where -> is represented as a single image.
+
+To obtain the index of the glyph corresponding to a character we use `FT_Get_Char_Index`.
+This, as you can imagine, only allows one-to-one mapping between characters and glyphs.
+We will solve this in a future part by using the _HarfBuzz_ library.
+
+```c
+FT_UInt glyph_index = FT_Get_Char_Index(face, 'a');
+```
+
+#### Loading a glyph from the face
+
+Having obtained the glyph_index we can load the corresponding glyph from our face.
+
+In a future part we will discuss in depth about the various load flags and how they allow
+using features like hinting and bitmap fonts.
+
+```c
+FT_Int32 load_flags = FT_LOAD_DEFAULT;
+err = FT_Load_Glyph(face, glyph_index, load_flags);
+if (err != 0) {
+  printf("Failed to load glyph\n");
+  exit(EXIT_FAILURE);
+}
+```
+
+#### Rendering the glyph in a glyph slot
+
+At this point we can finally render the our glyph into a _glyph slot_, contained in `face->glyph`.
+
+We will discuss the render flags in the future too because they allow using LCD (or Subpixel) Rendering and Grayscale Antialiasing.
+
+```c
+FT_Int32 render_flags = FT_RENDER_MODE_NORMAL;
+err = FT_Render_Glyph(face->glyph, render_flags);
+if (err != 0) {
+  printf("Failed to render the glyph\n");
+  exit(EXIT_FAILURE);
+}
+```
+
+#### Printing the glyph to the console
+
+The bitmap of the rendered glyph can be accessed with `face->glyph->bitmap.buffer` and is represented as an unsigned char array, therefore
+its values are between 0 and 255.
+
+The buffer is returned as a 1D array but represents a 2D image.
+To access the i-th row and j-th column of it we use `column * row_width + row`, as seen in `bitmap.buffer[i * face->glyph->bitmap.pitch + j]`.
+
+You can see that we used `bitmap.width` in the for loop and `bitmap.pitch` in the array access, this is because each row of pixels is `bitmap.width` wide
+but the buffer has a "width" of `bitmap.pitch`.
+
+<img src="/assets/images/modern-text-rendering-linux-ep1/Group.svg"
+     style="max-width: 20rem; display: block; margin: auto;"/>
+
+In the following code each row and column is iterated and depending on the pixel brightness a different symbol is drawn.
+
+```c
+for (size_t i = 0; i < face->glyph->bitmap.rows; i++) {
+  for (size_t j = 0; j < face->glyph->bitmap.width; j++) {
+    unsigned char pixel_brightness =
+        face->glyph->bitmap.buffer[i * face->glyph->bitmap.pitch + j];
+
+    if (pixel_brightness > 169) {
+      printf("*");
+    } else if (pixel_brightness > 84) {
+      printf(".");
+    } else {
+      printf(" ");
+    }
+  }
+  printf("\n");
+}
+```
+
+The console output.
+
+```shell
+$ clang -I/usr/include/freetype2 \
+        -I/usr/include/libpng16  \
+        -Wall -Werror            \
+        -o main                  \
+        -lfreetype               \
+         main.c && ./main
+FreeType's version is 2.8.1
+   .*****.
+  .********.
+  .*********
+   .     ***.
+          ***
+          ***
+    .********
+  ***********
+ .**.     ***
+ ***      ***
+ ***      ***
+ ***.     ***
+ .***********
+  ***********
+   .*******..
+```
+
+You can find the complete code [here](https://gist.github.com/mrandri19/245237a6bde246f119ab2b6245e540ba).
+
+## Conclusion
+
+We have built a basic console character renderer. This example can, and will,
+be extended to render a character in an OpenGL texure, to support emojis,
+subpixel rendering, ligatures and much much more. In the the next part we will
+talk about Grayscale vs LCD antialiasing and their pros and cons.
+
+See you soon😁🖐️.
diff --git a/src/content/posts/2019-07-24-modern-text-rendering-linux-overview.md b/src/content/posts/2019-07-24-modern-text-rendering-linux-overview.md
new file mode 100644
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--- /dev/null
+++ b/src/content/posts/2019-07-24-modern-text-rendering-linux-overview.md
@@ -0,0 +1,115 @@
+---
+
+title: "Modern text rendering with Linux: Overview"
+author: andrea
+---
+
+## Introduction
+
+Text is an essential part of Human-computer Interaction. In the age of Instagram,
+YouTube, and VR we still consume information primarily through text. Computing
+started with text-only interfaces and every major Operating System provides
+libraries to render text.
+
+Text rendering, despite being ubiquitous, has little up to date documentation,
+especially on Linux systems. The goal of this post is to give an overview of the
+modern Linux text rendering stack and to give the reader an understanding of
+the complexity behind it.
+
+## Overview
+
+<figure>
+<img src="/assets/images/modern-text-rendering-linux-overview/overview.svg"
+style="max-width: auto; display: block; margin: auto;"/>
+<figcaption style="text-align: center; margin-top: 1rem;">The data flow of text rendering.</figcaption>
+</figure>
+
+The stack is composed of 4 components:
+
+- [Fontconfig](https://www.freedesktop.org/wiki/Software/fontconfig/)
+- [FriBidi](https://github.com/fribidi/fribidi) or [LibICU](http://site.icu-project.org/home)
+- [HarfBuzz](https://www.freedesktop.org/wiki/Software/fontconfig/)
+- [FreeType](https://www.freetype.org/)
+
+### Fontconfig
+
+<figure>
+<img src="/assets/images/modern-text-rendering-linux-overview/fontconfig.svg"
+style="max-width: auto; display: block; margin: auto;"/>
+</figure>
+
+Fontconfig takes a list of font properties (name, width, weight, style, etc.),
+then selects a font file on your system which most closely matches the properties
+you requested. It is configured with an XML-based language which allows you to
+specify default fonts, whitelist or blacklist them, create bold and italic styles
+for incomplete fonts, set the hinting and antialiasing levels and much more.
+The [Arch Wiki](https://wiki.archlinux.org/index.php/Font_configuration) is an
+excellent resource for creating or editing your configuration.
+
+### FriBidi or LibICU
+
+FriBidi and LibICU, among other things, provide an implementation of the [Unicode Bidirectional](http://www.unicode.org/reports/tr9/)
+algorithm. The Unicode Bidirectional Algorithm allows you to convert between text
+in _logical/storage_ format to text in _visual_ format. The W3C has a beautiful
+[article](https://www.w3.org/International/articles/inline-bidi-markup/uba-basics)
+on it.
+
+Consider the following example, where Arabic or Hebrew letters are represented by uppercase
+English letters and English text is represented by lowercase letters:
+
+In the rendered text, the English letter h is visually followed by the Arabic letter C,
+but logically h is followed by the rightmost letter A. The next letter, in logical order,
+will be R. In other words, the logical/storage order of the same text would be:
+
+```
+english ARABIC text
+```
+
+But the rendered version also called visual format would be:
+
+```
+english CIBARA text
+```
+
+Because Arabic or Hebrew are Right-To-Left languages whereas English is Left-To-Right.
+
+(Example taken from [http://userguide.icu-project.org/transforms/bidi](http://userguide.icu-project.org/transforms/bidi))
+
+### HarfBuzz
+
+<figure>
+<img src="/assets/images/modern-text-rendering-linux-overview/harfbuzz.svg"
+style="max-width: auto; display: block; margin: auto;"/>
+</figure>
+
+HarfBuzz is the text shaping engine: it maps codepoints from a string to their
+corresponding glyph indices.
+HarfBuzz takes a Unicode string, three properties: direction, script, language, and a font. It returns a list of glyph indices, each with a position in x, y coordinates, which incorporates kerning data from the font's GPOS table.
+
+Examples:
+
+`Hello, world` becomes `43 72 79 79 82 15 3 90 82 85 79 71` with font: Ubuntu Mono
+
+`->` becomes `16 33` with font: Ubuntu Mono
+
+`->` becomes `1603 1064` with font: Fira Code Retina
+
+HarfBuzz is essential to correctly handle accents, emojis, ligatures and almost
+every language except English.
+
+### FreeType
+
+<figure>
+<img src="/assets/images/modern-text-rendering-linux-overview/freetype.svg"
+style="max-width: auto; display: block; margin: auto;"/>
+</figure>
+
+FreeType is the text rendering engine: it takes a glyph index and a font, then renders an image of that glyph index. It also provides basic kerning support.
+You can configure it by specifying the hinting level and which and how much antialiasing to use.
+
+## Sources
+
+- [State of Text Rendering](http://behdad.org/text/) by Behdad Esfahbod (2010)
+- [Higher Quality 2D Text Rendering](https://hal.inria.fr/hal-00821839/document) by Nicolas Rougier (2013)
+- [Digital Typography - SIGGRAPH 2018](https://www.slideshare.net/NicolasRougier1/siggraph-2018-digital-typography) by Behdad Esfahbod and Nicolas Rougier (2018)
+- [Linux Font Rendering Stack](https://www.youtube.com/watch?v=wzEZhzeRjFk) by Max Harmathy (2018)
diff --git a/src/content/posts/2019-08-08-modern-text-rendering-linux-ep2.md b/src/content/posts/2019-08-08-modern-text-rendering-linux-ep2.md
new file mode 100644
index 0000000..37e0b82
--- /dev/null
+++ b/src/content/posts/2019-08-08-modern-text-rendering-linux-ep2.md
@@ -0,0 +1,327 @@
+---
+
+title: "Modern text rendering with Linux: Antialiasing"
+author: andrea
+---
+
+## Introduction
+
+Welcome to part 2 of Modern text rendering in Linux. Check out the other posts
+in the series:
+[part 1](/2019/07/18/modern-text-rendering-linux-ep1.html) and
+[Overview](/2019/07/24/modern-text-rendering-linux-overview.html).
+
+In this post I will show how to render a glyph to an image and the differences
+between grayscale and LCD (subpixel) antialiasing.
+
+## Setup
+
+I will use the same code, OS, compiler and libraries used in
+[part 1](/2019/07/18/modern-text-rendering-linux-ep1.html)
+and extend the code.
+
+This will be our final result. And [here](https://gist.github.com/mrandri19/fe5dc2709d761568d749f8125d0f4490) is the code.
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+<figure style="display: inline-block;">
+<img src="/assets/images/modern-text-rendering-linux-ep2/grayscale.jpg"
+style="min-height: 8rem;image-rendering: pixelated;image-rendering: crisp-edges; margin: auto;"/>
+<figcaption style="text-align: center; margin-top: 1rem;">A grayscale antialiased glyph</figcaption>
+</figure>
+
+<figure style="display: inline-block;">
+<img src="/assets/images/modern-text-rendering-linux-ep2/lcd.jpg"
+style="min-height: 8rem;image-rendering: pixelated;image-rendering: crisp-edges; margin: auto;"/>
+<figcaption style="text-align: center; margin-top: 1rem;">A subpixel antialiased glyph</figcaption>
+</figure>
+</div>
+
+Let's start right back from where we stopped last time:
+
+```shell
+$ clang -I/usr/include/freetype2 \
+        -I/usr/include/libpng16  \
+        -Wall -Werror            \
+        -o main                  \
+        -lfreetype               \
+         main.c && ./main
+FreeType's version is 2.8.1
+   .*****.
+  .********.
+  .*********
+   .     ***.
+          ***
+          ***
+    .********
+  ***********
+ .**.     ***
+ ***      ***
+ ***      ***
+ ***.     ***
+ .***********
+  ***********
+   .*******..
+```
+
+### Including stb_image_write
+
+To render a glyph to a JPG image we will use nothing's
+[stb_image_write](https://raw.githubusercontent.com/nothings/stb/master/stb_image_write.h).
+
+In the same folder as `main.c` run:
+
+```shell
+$ wget https://raw.githubusercontent.com/nothings/stb/master/stb_image_write.h
+```
+
+If wget is not installed run `sudo apt install wget` to install it
+and then retry the previous command.
+
+In `main.c` add the library to the includes.
+
+```diff
+ #include <freetype2/ft2build.h>
+ #include FT_FREETYPE_H
++
++ #define STB_IMAGE_WRITE_IMPLEMENTATION
++ #include "./stb_image_write.h"
++
+ int main() {
+```
+
+### Rendering a Grayscale Antialiased Glyph
+
+First of all extract `face->glyph->bitmap` to a variable to make the
+code tidier.
+
+```diff
++  FT_Bitmap bitmap = face->glyph->bitmap;
+-  for (size_t i = 0; i < face->glyph->bitmap.rows; i++) {
+-   for (size_t j = 0; j < face->glyph->bitmap.width; j++) {
+-     unsigned char pixel_brightness =
+-         face->glyph->bitmap.buffer[i * face->glyph->bitmap.pitch + j];
++  for (size_t i = 0; i < bitmap.rows; i++) {
++    for (size_t j = 0; j < bitmap.width; j++) {
++      unsigned char pixel_brightness = bitmap.buffer[i * bitmap.pitch + j];
+
+     if (pixel_brightness > 169) {
+       printf("*");
+     } else if (pixel_brightness > 84) {
+       printf(".");
+     } else {
+       printf(" ");
+     }
+   }
+   printf("\n");
+ }
+```
+
+Create a buffer for the image data (remember to `free` it at the end).
+
+```diff
+  FT_Bitmap bitmap = face->glyph->bitmap;
++
++ unsigned char* data =
++     malloc(bitmap.width * bitmap.rows * sizeof(unsigned char*));
++
+  for (size_t i = 0; i < bitmap.rows; i++) {
+```
+
+Delete the printing instructions and copy the pixel data into the buffer.
+
+```diff
+  for (size_t i = 0; i < bitmap.rows; i++) {
+    for (size_t j = 0; j < bitmap.width; j++) {
+-     unsigned char pixel_brightness = bitmap.buffer[i * bitmap.pitch + j];
++     data[i * bitmap.width + j] = bitmap.buffer[i * bitmap.pitch + j];
++
+-     if (pixel_brightness > 169) {
+-       printf("*");
+-     } else if (pixel_brightness > 84) {
+-       printf(".");
+-     } else {
+-       printf(" ");
+-     }
+    }
+-   printf("\n");
+  }
+```
+
+Finally, write the image to a JPG file called `image.jpg`.
+
+```diff
+  }
++
++ stbi_write_jpg("image.jpg", bitmap.width, bitmap.rows, 1, data, 100);
++
+  return 0;
+```
+
+`image.jpg` should look like this.
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+   <figure style="display: inline-block;">
+      <img src="/assets/images/modern-text-rendering-linux-ep2/grayscale.jpg"
+      style="min-height: 8rem;image-rendering: pixelated; image-rendering: crisp-edges; margin: auto;"/>
+   </figure>
+</div>
+
+### Rendering a LCD (Subpixel) Antialiased Glyph
+
+Changing the antialiasing technique is easy with FreeType.
+
+Add this header to include the LCD filtering functionality.
+
+```diff
+  #include FT_FREETYPE_H
++ #include FT_LCD_FILTER_H
+
+  #define STB_IMAGE_WRITE_IMPLEMENTATION
+```
+
+Set which LCD filter to use. For a
+list of filters check the
+[FreeType docs](https://www.freetype.org/freetype2/docs/reference/ft2-lcd_rendering.html)
+on Subpixel Rendering. We will use the default one.
+
+```diff
+  FT_Int major, minor, patch;
+  FT_Library_Version(ft, &major, &minor, &patch);
+  printf("FreeType's version is %d.%d.%d\n", major, minor, patch);
++
++  FT_Library_SetLcdFilter(ft, FT_LCD_FILTER_DEFAULT);
++
+  FT_Face face;
+```
+
+Change the render mode to LCD.
+[Here](https://www.freetype.org/freetype2/docs/reference/ft2-base_interface.html#ft_render_mode)
+is a list of the available render modes.
+
+```diff
+- FT_Int32 render_flags = FT_RENDER_MODE_NORMAL;
++ FT_Int32 render_flags = FT_RENDER_MODE_LCD;
+```
+
+`image.jpg` should look like this.
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+   <figure style="display: inline-block;">
+      <img src="/assets/images/modern-text-rendering-linux-ep2/thicc.jpg"
+      style="min-height: 8rem;image-rendering: pixelated; image-rendering: crisp-edges; margin: auto;"/>
+   </figure>
+</div>
+
+What happened? LCD Antialiasing works by treating each pixel as three
+separate light sources, each one capable of emitting either Red, Green, or Blue light.
+Grayscale Antialiasing instead treats each pixel as a single light source, emitting
+white light.
+
+We will explain how this works in detail later, but for now what we care about
+is that LCD AA triples the horizontal resolution of the image.
+
+Let's change the code so that we see a colored image where each pixel is composed
+of three channels: R,G,B.
+
+```diff
+- stbi_write_jpg("image.jpg", bitmap.width, bitmap.rows, 1, data, 100);
++ stbi_write_jpg("image.jpg", bitmap.width / 3, bitmap.rows, 3, data, 100);
+```
+
+`image.jpg` should look like this.
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+   <figure style="display: inline-block;">
+      <img src="/assets/images/modern-text-rendering-linux-ep2/lcd.jpg"
+      style="min-height: 8rem;image-rendering: pixelated; image-rendering: crisp-edges; margin: auto;"/>
+   </figure>
+</div>
+
+You can find the complete code [here](https://gist.github.com/mrandri19/fe5dc2709d761568d749f8125d0f4490).
+
+## How do they work?
+
+Draw on the grids, then click **sample** to see how the different antialiasing tecniques work.
+Try drawing the same shape in both, for example an 'A', and then compare the results.
+
+<div style="
+    display: flex;
+    flex-flow: row wrap;
+    justify-content: space-around;
+    text-align: center;
+    margin-bottom: 1.5rem;">
+  <div>
+    <p style="margin: auto;">Grayscale</p>
+    <canvas id="canvas-grayscale" style="display: block;"></canvas>
+    <button id="sample-grayscale" class="my-button">Sample</button>
+    <button id="clear-grayscale" class="my-button">Clear</button>
+    <script src="/assets/js/modern-text-rendering-linux-ep2modern-text-rendering-linux-ep2/grayscale.js"></script>
+  </div>
+
+  <div>
+    <p style="margin: auto;">LCD</p>
+    <canvas id="canvas-lcd" style="display: block;"></canvas>
+    <button id="sample-lcd" class="my-button">Sample</button>
+    <button id="clear-lcd" class="my-button">Clear</button>
+    <script src="/assets/js/modern-text-rendering-linux-ep2modern-text-rendering-linux-ep2/lcd.js"></script>
+  </div>
+</div>
+
+What you should be seeing after drawing and clicking sample.
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+   <figure style="display: inline-block;">
+      <img src="/assets/images/modern-text-rendering-linux-ep2/interactive-example-screenshot.png"
+      style="min-height: 8rem;image-rendering: pixelated; image-rendering: crisp-edges; margin: auto;"/>
+      <figcaption style="text-align: center; margin-top: 1rem;"></figcaption>
+   </figure>
+</div>
+
+### Grayscale Antialiasing
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+   <figure style="display: inline-block;">
+      <img src="/assets/images/modern-text-rendering-linux-ep2/rasterization-strategies.png"
+      style="min-height: 8rem;image-rendering: pixelated; image-rendering: crisp-edges; margin: auto;"/>
+      <figcaption style="text-align: center; margin-top: 1rem;">Ideal shape, monochrome and grayscale antialiasing<br>
+        Image taken from <a href="https://www.smashingmagazine.com/2012/04/a-closer-look-at-font-rendering/">Smashing Magazine</a>
+      </figcaption>
+   </figure>
+</div>
+
+Grayscale Antialiasing divides the image to render in a grid, then, for
+each square in the grid, counts how much the area of a grid's square is covered by
+the image. If 100% of the square is covered then the pixel will have 100%
+opacity, if 50% of the square is covered then the pixel will be half-transparent.
+
+### LCD (Subpixel) Antialiasing
+
+<div style="display: flex; flex-direction: row; justify-content: space-evenly;">
+   <figure style="display: inline-block;">
+      <img src="/assets/images/modern-text-rendering-linux-ep2/rasterization-subpixel.png"
+      style="min-height: 8rem;image-rendering: pixelated;  image-rendering: crisp-edges; margin: auto;"/>
+      <figcaption style="text-align: center; margin-top: 1rem;">An LCD
+      antialiased glyph, showing an RGB image, showing its individual
+      subpixels, showing each subpixel's brightness. The white square
+      represents a single pixel.<br>
+        Image taken from <a href="https://www.smashingmagazine.com/2012/04/a-closer-look-at-font-rendering/">Smashing Magazine</a>
+      </figcaption>
+   </figure>
+</div>
+
+LCD Antialiasing exploits the fact that each pixel is made of three independent
+light sources, usually thin rectangles, which we call subpixels. By knowing
+the order (Red Green Blue or Blue Green Red) in which these subpixels form a pixel, we can turn them on individually
+to triple the horizontal resolution.
+
+The main downside of this method is that when rendering an image, you need to know the
+order in which subpixels are placed on the screen, which may not be available.
+Also think of a phone screen being rotated 90 degrees, the images need to be re-rendered (or at least re-antialiased)
+because the subpixels are now one on top of the other instead of side by side.
+This is the reason why iOS doesn't use subpixel rendering while macOS pre 10.14 does.
+
+## Sources
+
+- [A closer look at font rendering](https://www.smashingmagazine.com/2012/04/a-closer-look-at-font-rendering/) by Smashing Magazine
+- [Sub-pixel, gamma correct, font rendering](http://www.puredevsoftware.com/blog/2019/01/22/sub-pixel-gamma-correct-font-rendering/) by Puredev Software
+- [Font Rasterization](https://web.archive.org/web/20180921225907/http://antigrain.com/research/font_rasterization/index.html#FONT_RASTERIZATION) by The AGG Project
diff --git a/src/content/posts/2020-09-28-bayesian-linear-regression-with-conjugate-priors.md b/src/content/posts/2020-09-28-bayesian-linear-regression-with-conjugate-priors.md
new file mode 100644
index 0000000..f186347
--- /dev/null
+++ b/src/content/posts/2020-09-28-bayesian-linear-regression-with-conjugate-priors.md
@@ -0,0 +1,404 @@
+---
+title: Bayesian linear regression with conjugate priors
+author: Andrea Cognolato
+---
+
+
+
+> ### Target Reader/Required Knowledge
+>
+> This post is an introduction to conjugate priors in the context of linear regression. Conjugate priors are a technique from Bayesian statistics/machine learning.
+>
+> The reader is expected to have some basic knowledge of Bayes' theorem, basic probability (conditional probability and chain rule), machine learning and a pinch of matrix algebra.
+>
+> In addition the code will be in the Julia language, but it can be easily translated to Python/R/MATLAB.
+
+## Quick Bayesian refresher
+
+Ever since the advent of computers, Bayesian methods have become more and more important in the fields of Statistics and Engineering. The main case for using these techniques is to reason about uncertainty of an inference. In particular, we can use prior information about the our model, together with new information coming from the data, to update our beliefs and obtain a better knowledge about the observed phenomenon.
+
+Bayes' theorem, viewed from a Machine Learning perspective, can be written as:
+
+\\[
+p(\theta \mid \mathcal{D}) = \frac{p(\mathcal{D}\mid \theta) p(\theta)}{p(\mathcal{D})}
+\\]
+
+where $\theta$are the parameters of the model which, we believe, has generated our data$\mathcal{D}$. Thanks to Bayes' theorem, given our data $\mathcal{D}$, we can learn the distribution of the parameters $\theta$.
+
+Now, let's examine each term of the first equation:
+
+-   $p(\theta\mid \mathcal{D})$ is called **posterior**. It represents how much we know about the parameters of the model _after_ seeing the data.
+
+-   $p(\mathcal{D}\mid \theta)$is called **likelihood**. It represents how _likely_ it is too see the data, had that data been generated by our model using parameters$\theta$.
+
+-   $p(\theta)$ is called **prior**. It represents our beliefs about the parameters _before_ seeing any data.
+
+-   $p(\mathcal{D})$is called **model evidence** or **marginal likelihood**. It represents the probability of observing our data _without any_ assumption about the parameters of our model. It does not depend on$\theta$ and thus evaluates to just a constant. Because of the fact that is constant and the high cost to compute it, it is generally ignored.
+
+Ignoring the marginal likelihood $p(\mathcal{D})$ we usually write Bayes' theorem as:
+
+\\[
+p(\theta \mid \mathcal{D}) \propto p(\mathcal{D}\mid \theta) p(\theta)
+\\]
+
+The $\propto$ symbol means **proportional to**, i.e. equal except for a normalizing constant.
+
+## Multivariate linear regression
+
+### Motivation
+
+Let's consider the problem of multivariate linear regression. This means that
+we want to find the best set of intercept and slopes to minimize the distance between
+our linear model's previsions and the actual data. But it doesn't end here, we may be interested
+in getting some estimates about the uncertainty of our model, e.g. a confidence interval
+for each parameter.
+
+Another feature we might be interest in is supporting **streaming** data. When deploying
+our algorithm, we may have only had the opportunity to train it on a small quantity
+of data compared to what our user create everyday, and we want our system to react
+to new emerging behaviours of the users without retraining.
+
+### Problem setting
+
+Our data $\mathcal{D}=\\{X,Y\\}$contains the **predictors** (or design matrix)$X \in \mathbb{R}^{n \times d}$, and the **response** $Y \in \mathbb{R}^{n\times 1}$.
+
+$n$is the number of observations and$d$ is the number of features.
+
+A single observation is called $x_i \in \mathbb{R}^{n \times 1}, i \in 1,..,n$, and a single response is $y_i \in \mathbb{R}$.
+
+Our model will be $Y = X\beta + \epsilon$where$\epsilon \sim \mathcal{N}(0,\sigma^2 I)$is the noise. This can be rewritten as$Y \sim \mathcal{N}(X\beta, \sigma^2 I)$thus having an$n$-dimensional multivariate Normal distribution.
+
+### Likelihood
+
+Let's write the likelihood for multivariate linear regresssion, i.e. how likely it it to observe the data $\mathcal{D}$, given a certain linear model specified by $\beta$.
+
+\\[p(\mathcal{D}\mid \theta) = p((X,Y)\mid \beta) = p(Y=\mathcal{N}(X\beta,\sigma^2I)) = (2\pi\sigma^2)^{-k/2}exp\{-\frac{1}{2\sigma^2}(Y-X\beta)^T(Y-X\beta)\}\\]
+
+The last expression was obtained by substituting the Gaussian PDF with mean $\mu=X\beta$and covariance matrix$\Sigma=\sigma^2 I$.
+
+Also, since all of the observations $X, Y$ are I.I.D. we can factorize the likelihood as:
+
+\\[p(\mathcal{D}\mid \theta) = p((X,Y)\mid \beta) = p(Y=\mathcal{N}(X\beta,\sigma^2I)) = \prod\limits_{i=1}^{n} p(y_i = \mathcal{N}(x_i\beta, \sigma^2))\\]
+
+#### Visualization
+
+How can we visualize this distribution? For a single pair $(x_i, y_i)$(with fixed$\beta$) the multivariate Normal collapses to a probability. Plotting this for a bunch of values of x and y we can see how the points with highest probability are on the line $y=1+2x$, as expected since our parameters are $\beta = \{1,2\}$. The variance $\sigma^2=1$, which for now we will treat as a known constant, influences how "fuzzy" the resulting plot is.
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+using Plots, Distributions, LaTeXStrings, LinearAlgebra, Printf
+```
+
+</div>
+
+</div>
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+β = [1.0, 2.0]
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+    2-element Array{Float64,1}:
+     1.0
+     2.0
+
+</div>
+
+</div>
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+heatmap(
+    -3:2e-2:3,
+    -3:2e-2:3,
+    (x,y)->pdf(Normal([1 x]⋅β, 1),y),
+    xlabel=L"x",
+    ylabel=L"y",
+    title=L"p\;(\mathcal{D}=(x,y)\mid\beta=\{1,2\})"
+)
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+{:refdef: style="text-align: center;"}
+![svg](/assets/images/bayesian-linear-regression-with-conjugate-priors/Blog Post Test_files/output_13_0.svg)
+{: refdef}
+
+</div>
+
+</div>
+
+In alternative, we can also plot how likely is each combination of weights given a certain point $(x_i, y_i)$. Notice how, for a single point, many combinations of angular coefficient $\beta_1$and intercept$\beta_0$ are possible. Also notice how these combinations are distributed on a line, if you increase the intercept, the angular coefficient has to go down.
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+heatmap(
+    -3:2e-2:3,
+    -3:2e-2:3,
+    (β0,β1)->pdf(Normal([1 1]⋅[β0, β1], 1),2),
+    xlabel=L"\beta_0",
+    ylabel=L"\beta_1",
+    title=L"p\;(\mathcal{D}=(x=1,y=2)\mid\beta=\{\beta_0,\beta_1\})"
+)
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+{:refdef: style="text-align: center;"}
+![svg](/assets/images/bayesian-linear-regression-with-conjugate-priors/Blog Post Test_files/output_15_0.svg)
+{: refdef}
+
+</div>
+
+</div>
+
+### Conjugate priors
+
+Now comes the question of what our prior should look like and how to combine it with the likelihood to obtain a posterior.
+We could just use an uniform prior as we have no idea of how our $\beta$ are distributed. This is what Vincent D. Warmerdam does in his [excellent post](https://koaning.io/posts/bayesian-propto-streaming/) on this topic.
+
+Another option is to use what is called **conjugate prior**, that is, a specially chosen prior distribution such that, when multiplied with the likelihood, the resulting posterior distribution belongs to the same family of the prior. Why would we want to do so? The main reason here is _speed_. Since we know the analytic expression for our posterior, almost no calculations need to be performed, it's just a matter of calculating the new distribution's parameters. This is a breath of fresh air considering the high cost of Markov Chain Monte Carlo methods usually used to calculate these posteriors. This speed allows us to consider using bayesian methods in high-throughput streaming contexts.
+
+How do we find these pairs of likelihood and priors? The usual approach is to look at likelihood's algebraic equation and come up with a distribution PDF similar enough so that the posterior is in the same family. We don't need to do all of this work, we can just look on [Wikipedia](https://en.wikipedia.org/wiki/Conjugate_prior) or [other](https://www.cs.ubc.ca/~murphyk/Papers/bayesGauss.pdf) [sources](http://www.biostat.umn.edu/~ph7440/pubh7440/BayesianLinearModelGoryDetails.pdf).
+
+#### Multivariate Normal prior
+
+For a Normal likelihood with known variance, the conjugate prior is another Normal distribution with parameters $\mu_\beta$and$\Sigma_\beta$. The parameter $\mu_\beta$describes the initial values for$\beta$and$\Sigma_\beta$ describes how uncertain we are of these values.
+
+\\[p(\theta) = p(\beta) = \mathcal{N}(\mu_\beta, \Sigma_\beta)\\]
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+heatmap(
+    -3:2e-2:3,
+    -3:2e-2:3,
+    (x,y)->pdf(MvNormal([0.5, 1.5], I(2)),[x,y]),
+    xlabel=L"\beta_0",
+    ylabel=L"\beta_0",
+    title=L"p\;(\beta\mid\mu_\beta=\{0.5, 1.5\}, \Sigma_\beta=I\;)"
+)
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+{:refdef: style="text-align: center;"}
+![svg](/assets/images/bayesian-linear-regression-with-conjugate-priors/Blog Post Test_files/output_22_0.svg)
+{: refdef}
+
+</div>
+
+</div>
+
+Using this prior, the formula for our posterior now looks like this:
+
+\\[p(\beta \mid (X,Y)) \propto p((X,Y)\mid \beta) p(\beta)\\]
+
+\\[p(\beta \mid (X,Y)) = \mathcal{N}(X\beta,\sigma^2) \times \mathcal{N}(\mu_\beta,\Sigma_\beta) = \mathcal{N}(\mu_\beta^{new},\Sigma_\beta^{{new}})\\]
+
+The posterior only depends on $\mu_\beta^{new}$and$\Sigma_{\beta}^{new}$which can be calculated using the prior and the newly observed data. Recall that$\sigma^2$ is the variance of the data model's noise.
+
+
+\\[
+\Sigma_\beta^{new} = (\Sigma_\beta^{-1} + X^TX)^{-1} \sigma^2
+\\]
+
+\\[
+\mu_\beta^{new} = (\Sigma_\beta^{-1} + X^TX)^{-1} (\Sigma_\beta^{-1}\mu_\beta + X^TY)
+\\]
+
+
+Since matrix inversions and multiplications have cubic time complexity, each update will cost us $O(d^3)$where$d$ is the number of features.
+
+### Julia implementation
+
+We can now proceed to the implementation. I chose the Julia language because of its excellent speed and scientific libraries. Also I like shiny things and Julia is much newer than Python/R/MATLAB.
+
+First, we generate the data which we will use to verify the implementation of the algorithm. Notice how we save the variance $\sigma^2$, which we will treat as a known constant and use when updating our prior. There are ways to estimate it from the data, i.e. using a Normal-Inverse-Chi-Squared prior, which we will examine in a future blog post.
+
+#### Training data
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+n = 100
+X = [ones(n) 1:n]
+β = [-13.0, 42.0]
+σ² = 250^2
+Y = X*β + sqrt(σ²)*randn(n)
+scatter(1:n, Y, xlabel="X", ylabel="Y", title="Training data", legend=false)
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+{:refdef: style="text-align: center;"}
+![svg](/assets/images/bayesian-linear-regression-with-conjugate-priors/Blog Post Test_files/output_30_0.svg)
+{: refdef}
+
+</div>
+
+</div>
+
+#### Prior
+
+First of all, using `MvNormal` from the `Distributions` package, let's define our prior.
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+μᵦ = [0.0, 0.0]
+Σᵦ = [1.0 0.0
+      0.0 1.0]
+prior = MvNormal(μᵦ, Σᵦ)
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+    FullNormal(
+    dim: 2
+    μ: [0.0, 0.0]
+    Σ: [1.0 0.0; 0.0 1.0]
+    )
+
+</div>
+
+</div>
+
+#### Update step definition
+
+Then, using the posterior hyperparameter update formulas, let's implement the update function. The update function takes a prior and our data, and return the posterior distribution. Notice how by using Julia's unicode support, we can have our code closely resembling the math.
+
+\\[
+\Sigma_\beta^{new} = (\Sigma_\beta^{-1} + X^TX)^{-1} \sigma^2
+\\]
+\\[
+\mu_\beta^{new} = (\Sigma_\beta^{-1} + X^TX)^{-1} (\Sigma_\beta^{-1}\mu_\beta + X^TY)
+\\]
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+function update(prior, X, Y, σ²)
+    μᵦ = mean(prior)
+    Σᵦ = cov(prior)
+
+    Σᵦ_new = (Σᵦ^-1 + X'X)^-1 * σ²
+    μᵦ_new = (Σᵦ^-1 + X'X)^-1 * (Σᵦ^-1*μᵦ + X'Y)
+
+    posterior = MvNormal(μᵦ_new, Symmetric(Σᵦ_new))
+    return posterior
+end
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+    update (generic function with 1 method)
+
+</div>
+
+</div>
+
+#### Training
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+posterior = update(prior, X, Y, σ²)
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+    FullNormal(
+    dim: 2
+    μ: [29.797457399445193, 40.716620886842236]
+    Σ: [2438.8256259319187 -36.40027489487599; -36.40027489487599 0.7280054978975199]
+    )
+
+</div>
+
+</div>
+
+Let's extract the estimates along with standard error from the posterior.
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+```julia
+@printf("β₀: %.3f ± %.3f (2σ)\n", mean(posterior)[1], 2*sqrt(cov(posterior)[1,1]))
+@printf("β₁: %.3f ± %.3f (2σ)\n", mean(posterior)[2], 2*sqrt(cov(posterior)[2,2]))
+```
+</div>
+<div class="output_area" markdown="1">
+
+    β₀: 29.797 ± 98.769 (2σ)
+    β₁: 40.717 ± 1.706 (2σ)
+
+</div>
+</div>
+
+We can see how the parameters we used to generate the data ($-13, 42$) are well within
+the $2\sigma$ confidence interval of our estimation.
+
+### Posterior predictive
+
+To use our posterior in a predictive setting, we need the _predictive_ distribution, which can be obtained with the following formula:
+
+\\[
+p(y_i\mid x_i,\beta) = \mathcal{N}(x_i\beta, \sigma^2 + x_i^T\Sigma_\beta x_i)
+\\]
+
+where $x_i$is the feature vector for a single observation and$y_i$ is the predicted response.
+
+<div class="codecell" markdown="1">
+<div class="input_area" markdown="1">
+
+```julia
+plot(
+    1:n,
+    X*mean(posterior),
+    ribbon=2*sqrt.(
+        σ² .+ [X[i,:]'*cov(posterior)*X[i,:] for i in 1:n]
+    ), xlabel="X", ylabel="Y", title="Posterior",
+    label="Predicted"
+)
+scatter!(1:n, Y, label="Training data")
+```
+
+</div>
+<div class="output_area" markdown="1">
+
+{:refdef: style="text-align: center;"}
+![svg](/assets/images/bayesian-linear-regression-with-conjugate-priors/Blog Post Test_files/output_43_0.svg)
+{: refdef}
+
+</div>
+
+</div>
+
+### Sources/Bibliography
+
+-   [https://maxhalford.github.io/blog/bayesian-linear-regression](https://maxhalford.github.io/blog/bayesian-linear-regression)
+-   [https://www.cs.ubc.ca/~murphyk/Papers/bayesGauss.pdf](https://www.cs.ubc.ca/~murphyk/Papers/bayesGauss.pdf)
+-   [https://koaning.io/posts/bayesian-propto-streaming/](https://koaning.io/posts/bayesian-propto-streaming/)
+-   [http://www.biostat.umn.edu/~ph7440/pubh7440/BayesianLinearModelGoryDetails.pdf](http://www.biostat.umn.edu/~ph7440/pubh7440/BayesianLinearModelGoryDetails.pdf)
diff --git a/src/content/posts/2022-01-12-a-PPL-in-70-lines-of-python.md b/src/content/posts/2022-01-12-a-PPL-in-70-lines-of-python.md
new file mode 100644
index 0000000..4afd5ed
--- /dev/null
+++ b/src/content/posts/2022-01-12-a-PPL-in-70-lines-of-python.md
@@ -0,0 +1,412 @@
+---
+title: "A probabilistic programming language in 70 lines of Python"
+---
+
+
+
+
+> Full code available at [github.com/mrandri19/smolppl](https://github.com/mrandri19/smolppl)
+
+> The continuation to this post, called
+> ["Predictive sampling and graph traversals"](https://mrandri19.github.io/2022/01/24/predictive-sampling-and-graph-traversals.html)
+> is now available!
+
+## Introduction
+
+In this post I will explain how Probabilistic Programming Languages
+(PPLs) work by showing step-by-step how to build a simple one in Python.
+
+I expect the reader to be moderately familiar with PPLs and Bayesian
+statistics, as well as having a basic understanding of Python.
+They could be, for example, statisticians/AI researchers/or curious programmers.
+
+At the end, we will have built an API like this one:
+
+```python
+mu = LatentVariable("mu", Normal, [0.0, 5.0])
+y_bar = ObservedVariable("y_bar", Normal, [mu, 1.0], observed=3.0)
+
+evaluate_log_density(y_bar, {"mu": 4.0})
+```
+
+This first two lines define the probability model
+
+$\mu \sim \text{Normal}(0, 5)$
+
+$\bar y \sim \text{Normal}(\mu, 1)$
+
+and the last line evaluates, at $\mu = 4$, the (unnormalized) probability
+distribution defined by the model, conditioned on the data $\bar y = 3$.
+
+$\log p(\mu = 4 | \bar y = 3)$
+
+My hope is to give the reader an understanding of how PPLs work behind the
+scenes as well as an understanding of Embedded Domain-Specific Languages (EDSLs)
+implementation in Python.
+
+## Related work
+
+As far as I know, there are no simple, didactic implementations of PPLs in
+Python.
+
+The book
+["The Design and Implementation of Probabilistic Programming Languages"](http://dippl.org/)
+is focused on programming language theory, requiring familiarity with
+continuation-passing style and coroutines, as well as using JavaScript as their
+implementation language.
+The blog post
+["Anatomy of a Probabilistic Programming Framework"](https://www.georgeho.org/prob-prog-frameworks/)
+contains an great high-level overview, but does not delve into implementation
+details or shows code samples.
+Finally, Junpeng Lao's
+[talk](https://www.youtube.com/watch?v=WHoS1ETYFrw&feature=youtu.be)
+and
+[PyMC3's Developer guide](https://docs.pymc.io/en/v3/developer_guide.html)
+describe in detail the implementation details of PyMC, but it is not
+straightforward to implement a PPL just based on those.
+
+Update: another great overview is [chapter 10 of Bayesian Modeling and
+Computation in Python](https://bayesiancomputationbook.com/markdown/chp_10.html).
+
+## Implementation
+
+### High-level representation
+
+We will use this model throughout the process as our guiding example.
+
+$\mu \sim \text{Normal}(0, 5)$
+
+$\bar y \sim \text{Normal}(\mu, 1)$
+
+These expressions define a joint probability distribution with an associated
+Probability Density Function (PDF):
+
+$$
+p(\mu, \bar y) = \text{Normal}(\mu | 0, 5) \text{Normal}(\bar y | \mu, 1)
+$$
+
+We can represent this expression (and the model) graphically in two ways:
+graphical models and directed factor graphs.
+
+<figure>
+<div style="display: flex;flex-direction: row;flex-wrap: nowrap;align-content: flex-start;justify-content: space-evenly;align-items: center;">
+  <img src="/assets/images/a-PPL-in-70-lines-of-python/probabilistic-graphical-model.png"
+  style="width: 3.9rem; min-width: 0;"/>
+  <img src="/assets/images/a-PPL-in-70-lines-of-python/directed-factor-graph.png"
+  style="width: 10rem; min-width: 0;"/>
+</div>
+<figcaption style="text-align: center; margin-top: 1rem;">
+Left: model drawn as a probabilistic graphical model (PGM).
+Right: model drawn as a directed factor graph (LFG).
+</figcaption>
+</figure>
+
+While PGMs are more common in the literature, I believe that directed factor
+graphs are more useful for a PPL implementer.
+The graph tells us several aspects of our representation:
+
+- We need a way to represent two types of variables:
+  - ones of which we know the observed value ($\bar y$, gray background)
+  - and ones which are latent and cannot be observed ($\mu$, white background).
+- We need to handle constants and the distribution of each variable.
+- Finally, we need a way to connect together observed variables, latent variables,
+  and constants.
+
+### Distributions
+
+For our purposes, a distribution is class with a function that can evaluate its
+log probability density function at a point.
+The `log_density` function takes a `float` representing a point in the
+distribution's support, a `List[float]` of the distribution's parameters,
+and returns a `float` equal to the log-PDF evaluated at the point.
+To implement new distributions we will inherit from the `Distribution` abstract
+class.
+We will not support vector or matrix-valued distributions for now.
+
+Using SciPy we implement the `Normal` distribution, with `param[0]` being the
+mean and `param[1]` the standard deviation.
+
+```python
+from scipy.stats import norm
+
+
+class Distribution:
+    @staticmethod
+    def log_density(point, params):
+        raise NotImplementedError("Must be implemented by a subclass")
+
+
+class Normal(Distribution):
+    @staticmethod
+    def log_density(point, params):
+        return float(norm.logpdf(point, params[0], params[1]))
+```
+
+### Variables and DAGs
+
+Let us now focus our attention on variables.
+Three aspects characterize them: they have an associated distribution,
+they can be latent or observed, and they are linked to one another (i.e they
+can have children).
+
+The `dist_class` field is a `Distribution` associated with the variable.
+When evaluating the full log density, we will use this field to access the
+`log_density` method of the variable's distribution.
+
+We differentiate latent from observed variables using the classes
+`LatentVariable` and `ObservedVariable`.
+Observed variables have an `observed` field with the observed value.
+Since latent variables do not have a value at model-specification time, we will
+have to give them a value at runtime, while evaluating the full log density.
+To specify the runtime value of latent variables we use need to identify them
+with a unique string `name`.
+
+Finally, we can make the parameters of a variable's distribution be variables or
+constants.
+In our example, the mean of $\bar y$is $\mu$ a Normal random variable,
+while its standard deviation is the constant $1$.
+To represent this we use the `dist_args` property.
+The [mypy](https://mypy.readthedocs.io/) signature of `dist_args` is
+`dist_args: Union[float, LatentVariable, ObservedVariable]`.
+This means that a latent/observed variable can have "arguments" which themselves
+are latent/observed variables of constants, thus creating a
+[Directed Acyclic Graph (DAG)](https://en.wikipedia.org/wiki/Directed_acyclic_graph).
+
+```python
+class LatentVariable:
+    def __init__(self, name, dist_class, dist_args):
+        self.name = name
+        self.dist_class = dist_class
+        self.dist_args = dist_args
+
+
+class ObservedVariable:
+    def __init__(self, name, dist_class, dist_args, observed):
+        self.name = name
+        self.dist_class = dist_class
+        self.dist_args = dist_args
+        self.observed = observed
+```
+
+We can visualize the DAG and notice a key difference from the latent factor
+graph representations: the arrows are reversed.
+This is a consequence of how we specify the variables in our modeling API, and
+it turns out that having the observed variable as the root is also a better
+representation for computing the joint log density.
+
+<figure>
+<div style="display: flex;flex-direction: row;flex-wrap: nowrap;align-content: flex-start;justify-content: space-evenly;align-items: center;">
+  <img src="/assets/images/a-PPL-in-70-lines-of-python/directed-factor-graph.png"
+  style="width: 10rem; min-width: 0;"/>
+  <img src="/assets/images/a-PPL-in-70-lines-of-python/DAG.svg"
+  style="width: 16rem; min-width: 0;"/>
+</div>
+<figcaption style="text-align: center; margin-top: 1rem;">
+Left: model drawn as a directed factor graph.
+Right: how the DAG is represented in-memory.
+</figcaption>
+</figure>
+
+To further clarify, let's see what the `dist_args` for our model look like:
+
+```python
+mu = LatentVariable("mu", Normal, [0.0, 5.0])
+y_bar = ObservedVariable("y_bar", Normal, [mu, 1.0], observed=5.0)
+
+print(mu)
+# => <__main__.LatentVariable object at 0x7f14f96719a0>
+print(mu.dist_args)
+# => [0.0, 5.0]
+print(y_bar)
+# => <__main__.ObservedVariable object at 0x7f14f9671940>
+print(y_bar.dist_args)
+# => [<__main__.LatentVariable object at 0x7f14f96719a0>, 1.0]
+```
+
+### Evaluating the log density
+
+We are almost done, the missing piece is a way to evaluate the joint log-density
+using our DAG.
+To do it we need to traverse the DAG, and add together the log-densities of each
+variable.
+Adding log densities is equal to multiplying the densities, but it is
+a lot more numerically stable.
+
+To traverse the DAG we use a recursive algorithm called
+[depth-first search](https://en.wikipedia.org/wiki/Depth-first_search).
+The `collect_variables` function visits all variables once, collecting all
+non-`float` variables into a list.
+The algorithm starts from the root, and then recursively visits all `dist_args`
+to collect each variable.
+
+```python
+def evaluate_log_density(variable, latent_values):
+    visited = set()
+    variables = []
+
+    def collect_variables(variable):
+        if isinstance(variable, float):
+            return
+
+        visited.add(variable)
+        variables.append(variable)
+
+        for arg in variable.dist_args:
+            if arg not in visited:
+                collect_variables(arg)
+
+    collect_variables(variable)
+```
+
+For each variable we need to obtain a numeric value for each one of its
+arguments, and using them evaluate the distribution's log density.
+`float` arguments are already numbers, `LatentVariables` take different values
+depending on where we wish to evaluate the log density.
+To specify the values of the latent variables we pass a dictionary of variable
+name to numbers, called `latent_values`.
+Notice how `ObservedVariable`s cannot be arguments, they can only be roots.
+
+> N.B.
+>
+> `dist_args` can be `float` constants or `LatentVariables`.
+>
+> `dist_params` are all `float`s, either constants or values we assigned to the
+> latent variables via `latent_values` at runtime (i.e. when we actually compute
+> the log density).
+
+Finally, with the distribution's parameters extracted from the arguments, we
+can update the total log density.
+`LatentVariable`s need to evaluate the log density at the point specified in
+`latent_values` while `ObservedValues` evaluate the log density at the point
+specified in `observed`.
+
+```python
+    log_density = 0.0
+    for variable in variables:
+        dist_params = []
+        for dist_arg in variable.dist_args:
+            if isinstance(dist_arg, float):
+                dist_params.append(dist_arg)
+            if isinstance(dist_arg, LatentVariable):
+                dist_params.append(latent_values[dist_arg.name])
+
+        if isinstance(variable, LatentVariable):
+            log_density += variable.dist_class.log_density(
+                latent_values[variable.name], dist_params
+            )
+        if isinstance(variable, ObservedVariable):
+            log_density += variable.dist_class.log_density(
+                variable.observed, dist_params
+            )
+
+    return log_density
+```
+
+Let's check that the total log probability is equal to what we expect
+
+```python
+mu = LatentVariable("mu", Normal, [0.0, 5.0])
+y_bar = ObservedVariable("y_bar", Normal, [mu, 1.0], observed=5.0)
+
+latent_values = {"mu": 4.0}
+print(evaluate_log_density(y_bar, latent_values))
+# => -4.267314978843446
+print(norm.logpdf(latent_values["mu"], 0.0, 5.0)
+    + norm.logpdf(5.0, latent_values["mu"], 1.0))
+# => -4.267314978843446
+```
+
+## Conclusion and future work
+
+Distributions, variable DAGs, and log density evaluation are the components of a
+probabilistic programming language.
+The variables can be latent, observed, or constants and each one must be handled
+separately in the log density calculation.
+We implement these concepts in Python leading to a simple but powerful PPL.
+
+The next steps would be to add support for tensors and transformations of random
+variables, in order to support more useful models like linear regression and
+hierarchical/mixed effects models.
+Another useful feature would be to build an API for prior predictive sampling,
+Finally, instead of doing the calculations in python, using a compute graph
+framework like theano/aesara, JAX, or TensorFlow would be greatly beneficial to
+the performance. A computation graph would also allow to calculate the gradient
+of the log density via reverse-mode automatic differentiation which is needed
+for advanced samplers like Hamiltonian Monte Carlo.
+
+## Bonus: posterior grid approximation
+
+We have not talked about what the log density is useful for.
+One example would be to find the mode of the posterior distribution, i.e.
+finding the most likely value for our parameters.
+
+In this case the observed sample mean is $1.5$, which will be moved a little
+towards $0$ by the Normal zero-mean prior. This means that the Maximum A
+Posteriori (MAP) estimate will be around $1.4$.
+
+<script type="text/javascript" src="https://cdn.jsdelivr.net/npm//vega@5"></script>
+<script type="text/javascript" src="https://cdn.jsdelivr.net/npm//vega-lite@4.17.0"></script>
+<script type="text/javascript" src="https://cdn.jsdelivr.net/npm//vega-embed@6"></script>
+
+<div style="
+display: flex;
+    flex-direction: row;
+    flex-wrap: nowrap;
+    align-content: center;
+    justify-content: center;
+">
+<div id="vis"></div>
+</div>
+
+<script>
+(function(vegaEmbed) {
+          var spec = {"config": {"view": {"continuousWidth": 240, "continuousHeight": 180}, "axis": {"labelFontSize": 16, "titleFontSize": 16}}, "data": {"name": "data-2a00cc4b505d4c82994537b3cc056b7e"}, "mark": {"type": "line", "point": true}, "encoding": {"x": {"axis": {"title": "mu"}, "field": "grid", "type": "quantitative"}, "y": {"axis": {"title": "log density"}, "field": "evaluations", "type": "quantitative"}}, "selection": {"selector005": {"type": "interval", "bind": "scales", "encodings": ["x", "y"]}}, "$schema": "https://vega.github.io/schema/vega-lite/v4.17.0.json", "datasets": {"data-2a00cc4b505d4c82994537b3cc056b7e": [{"grid": -4.0, "evaluations": -18.892314978843448}, {"grid": -3.5789473684210527, "evaluations": -16.601345449757574}, {"grid": -3.1578947368421053, "evaluations": -14.494752651973638}, {"grid": -2.736842105263158, "evaluations": -12.572536585491644}, {"grid": -2.3157894736842106, "evaluations": -10.834697250311589}, {"grid": -1.8947368421052633, "evaluations": -9.281234646433475}, {"grid": -1.473684210526316, "evaluations": -7.912148773857297}, {"grid": -1.0526315789473686, "evaluations": -6.727439632583058}, {"grid": -0.6315789473684212, "evaluations": -5.727107222610759}, {"grid": -0.2105263157894739, "evaluations": -4.911151543940399}, {"grid": 0.21052631578947345, "evaluations": -4.2795725965719775}, {"grid": 0.6315789473684212, "evaluations": -3.8323703805054956}, {"grid": 1.0526315789473681, "evaluations": -3.5695448957409526}, {"grid": 1.473684210526315, "evaluations": -3.491096142278349}, {"grid": 1.8947368421052628, "evaluations": -3.5970241201176836}, {"grid": 2.3157894736842106, "evaluations": -3.887328829258958}, {"grid": 2.7368421052631575, "evaluations": -4.362010269702171}, {"grid": 3.1578947368421044, "evaluations": -5.021068441447322}, {"grid": 3.578947368421052, "evaluations": -5.864503344494414}, {"grid": 4.0, "evaluations": -6.892314978843445}]}};var embedOpt = {"mode": "vega-lite"};
+
+    function showError(el, error){
+        el.innerHTML = ('<div class="error" style="color:red;">'
+                        + '<p>JavaScript Error: ' + error.message + '</p>'
+                        + "<p>This usually means there's a typo in your chart specification. "
+                        + "See the javascript console for the full traceback.</p>"
+                        + '</div>');
+        throw error;
+    }
+    const el = document.getElementById('vis');
+    vegaEmbed("#vis", spec, embedOpt)
+    .catch(error => showError(el, error));
+})(vegaEmbed);
+
+</script>
+
+```python
+import numpy as np
+import pandas as pd
+import altair as alt
+
+from smolppl import Normal, LatentVariable, ObservedVariable,
+                    evaluate_log_density
+
+# Define model
+# Weakly informative mean prior
+mu = LatentVariable("mu", Normal, [0.0, 5.0])
+
+# Observation model. I make some observations y_1, y_2, ..., y_n and compute the
+# sample mean y_bar. It is given that the sample mean has standard deviation 1.
+y_bar = ObservedVariable("y_bar", Normal, [mu, 1.0], observed=1.5)
+
+# Grid approximation for the posterior
+# Since the prior has mean 0, and the observations have some uncertainty, I
+# expect the mode to be a bit smaller than 1.5. Something like 1.4
+grid = np.linspace(-4, 4, 20)
+evaluations = [evaluate_log_density(y_bar, {"mu": mu}) for mu in grid]
+
+# Plotting
+data = pd.DataFrame({"grid": grid, "evaluations": evaluations})
+chart = alt.Chart(data).mark_line(point=True).encode(
+    x=alt.X('grid', axis=alt.Axis(title="mu")),
+    y=alt.Y('evaluations', axis=alt.Axis(title="log density"))
+).interactive().configure_axis(
+    labelFontSize=16,
+    titleFontSize=16
+)
+chart
+```
diff --git a/src/content/posts/2022-01-24-predictive-sampling-and-graph-traversals.md b/src/content/posts/2022-01-24-predictive-sampling-and-graph-traversals.md
new file mode 100644
index 0000000..771cd8e
--- /dev/null
+++ b/src/content/posts/2022-01-24-predictive-sampling-and-graph-traversals.md
@@ -0,0 +1,384 @@
+---
+title: "Predictive sampling and graph traversals"
+---
+
+
+
+
+> Full code available at [github.com/mrandri19/smolppl/tree/sampling](https://github.com/mrandri19/smolppl/tree/sampling)
+
+## Introduction
+
+This post is the continuation of
+["A probabilistic programming language in 70 lines of Python"](https://mrandri19.github.io/2022/01/12/a-PPL-in-70-lines-of-python.html).
+Today, we extend the library built in the last post by creating an API for
+sampling values from the prior and posterior distributions.
+
+At the end we will have build an API like this one:
+
+```python
+x = LatentVariable("x", Normal, [0.0, 3.0])
+y = ObservedVariable("y", Normal, [x, 4.0], observed=1.5)
+
+prior_sample(y)
+posterior_sample(y, {"x": -2.0})
+```
+
+As users of a Probabilistic Programming Language (PPL), we are interested in
+sampling the distributions defined by our model.
+We do it, for example, to estimate means and variances via Monte Carlo
+integration.
+This is how we would estimate the prior and posteriror mean and standard
+deviation of the `y` variable using the new API:
+
+```python
+prior_samples = [prior_sample(y) for _ in range(10_000)]
+np.mean(prior_samples), np.std(prior_samples)
+# => (0.0, 5.0)
+
+posterior_samples = [posterior_sample(y, {"x": -2.0}) for _ in range(10_000)]
+np.mean(posterior_samples), np.std(posterior_samples)
+# => (-2.0, 4.0)
+```
+
+Mathematically speaking, the two snippets above define this probability model:
+
+$x \sim \text{Normal}(0, 3)$
+
+$y \sim \text{Normal}(x, 4)$
+
+and compute the following expectations on it:
+
+$E(y) = 0$
+
+$\text{std}(y) = 5$
+
+$E(y|x=-2) = -2$
+
+$\text{std}(y|x=-2) = 4$
+
+## Related work
+
+Most probabilistic programming languages implement sampling APIs.
+We will briefly see how
+[Stan](https://mc-stan.org/)
+and
+[PyMC](https://docs.pymc.io/en/v3/), two of the most popular PPLs, allow
+sampling.
+Just skip this section if you only care about the implementation.
+
+Stan's sampling interface is lower-level compared to other PPLs.
+Sampling from both the prior and the posterior must be implemented manually by
+the user.
+To perform [prior predictive](https://mc-stan.org/docs/2_28/stan-users-guide/prior-predictive-checks.html) sampling,
+the user must copy code from the `model` section into the `generated_quantities`
+sections and replace all distribution calls (like `normal`, `binomial`) with
+their `_rng` versions.
+For [posterior predictive](https://mc-stan.org/docs/2_28/stan-users-guide/simulating-from-the-posterior-predictive-distribution.html)
+sampling, the procedure is similar, but model parameters are sampled from the
+posterior chain rather than from a Random Number Generator (RNG).
+In practice, this means that it is enough to keep using the same parameters as
+in the `model` section.
+
+In PyMC the process is much simpler from a user's perspective.
+PyMC uses its knowledge of the probabilistic DAG to automatically generate
+implementations for the the likelihood, prior sampling, and posterior sampling.
+In practice, this means calling `pm.sample_prior_predictive()` to get prior
+samples
+and `pm.sample_posterior_predictive(posterior_trace)` to get posterior samples.
+
+## Implementation
+
+### DAG traversals
+
+To understand the main challenge in sampling from a DAG let's see an example.
+Consider this probabilistic model:
+
+$x \sim \text{Normal}(0, 3)$
+
+$y \sim \text{Normal}(x, 4)$
+
+in code:
+
+```python
+x = LatentVariable("x", Normal, [0.0, 3.0])
+y = ObservedVariable("y", Normal, [x, 4.0], observed=1.5)
+```
+
+and its corresponding DAG:
+
+<figure>
+<div style="display: flex;flex-direction: row;flex-wrap: nowrap;align-content: flex-start;justify-content: space-evenly;align-items: center;">
+  <img src="/assets/images/predictive-sampling-and-graph-traversals/DAG.svg"
+  style="width: 16rem; min-width: 0;"/>
+</div>
+<figcaption style="text-align: center; margin-top: 1rem;">
+In-memory representation of the model
+</figcaption>
+</figure>
+
+Looking at the DAG we see that, to sample the `x` variable, we need the
+floats `0` and `3` respectively for the mean and standard deviation.
+To sample the `y` variable we need the value of `x` and the float value `4`.
+This means that we need the values of a variable's children _before_ being able
+to sample its value.
+As a consequence, simple depth-first search (DFS) is not be enough.
+Otherwise, it could happen that we try sampling the value of `y` without knowing
+its mean `x`.
+
+The solution is called
+[_post-order DFS_](https://en.wikipedia.org/wiki/Depth-first_search#Vertex_orderings).
+Post-order traversal has the property that a node will only get visited _after_
+all of its children have.
+Simple DFS, on the other hand, does not have this property and does a
+_pre-order_ traversal.
+To better understand the differences, check out the figure below.
+With pre-order traversal the root node $a$ is always evaluated before the
+children $b, c$, and in one case $b$ is evaluated before its child
+$c$ is.
+
+<figure>
+<div style="display: flex;flex-direction: row;flex-wrap: nowrap;align-content: flex-start;justify-content: space-evenly;align-items: center;">
+  <img src="/assets/images/predictive-sampling-and-graph-traversals/DAG-pre-order.svg"
+  style="width: 16rem; min-width: 0;"/>
+  <img src="/assets/images/predictive-sampling-and-graph-traversals/DAG-post-order.svg"
+  style="width: 16rem; min-width: 0;"/>
+</div>
+<figcaption style="text-align: center; margin-top: 1rem;">
+Left: pre-order traversal of the DAG.
+Right: post-order traversal of the DAG.
+<br>
+The blue, bold numbers represent the order in which the nodes where visited.
+</figcaption>
+</figure>
+
+The API we implement is heavily inspired by PyMC.
+The function `prior_sample` samples one value from the prior distribution.
+The function `posterior_sample` samples one value from the posterior, given a
+dictionary of latent values from the posterior.
+Inside these functions we traverse the probabilistic DAG and do what a Stan user
+would do.
+In `prior_sample` replace all variables with a new random value from their
+respective distribution.
+In `posterior_sample` replace all `ObservedVariables` with a new random value
+from its distribution, and replace all `LatentVariables` with values from the
+posterior chain.
+Let's see how to do it.
+
+### Distributions
+
+First of all, we need to add a `sample` method to our `Distribution` abstract
+class, and implement it for all of our distributions.
+Just like we did for the log-density, we use SciPy.
+
+```python
+class Distribution:
+    <rest of class>
+
+    @staticmethod
+    def sample(params):
+        raise NotImplementedError("Must be implemented by a subclass")
+
+
+class Normal(Distribution):
+    <rest of class>
+
+    @staticmethod
+    def sample(params):
+        return float(norm.rvs(loc=params[0], scale=params[1]))
+```
+
+### Sampling from the prior
+
+We begin by implementing prior sampling as it is the simpler of the two.
+We implement post-order depth-first search in the `collect_variables` inner
+function.
+It's very similar to pre-order DFS but, instead of appending `variable` to
+to `variables` _before_ recursion, we do it _after_.
+This results in a variable being "visited", only after we have reached a leaf
+of the DAG.
+
+```python
+def prior_sample(root):
+    visited = set()
+    variables = []
+
+    def collect_variables(variable):
+        if isinstance(variable, float):
+            return
+
+        visited.add(variable)
+
+        for arg in variable.dist_args:
+            if arg not in visited:
+                collect_variables(arg)
+
+        # post-order
+        variables.append(variable)
+
+    collect_variables(root)
+```
+
+Then, for every variable, we need to obtain the numeric value of every argument.
+`float` arguments are already numeric so we take them as they are.
+On the other hand, we will keep numeric values of variable in a dictionary
+called `sampled_values`.
+We are sure that we will never get a `KeyError` because of the post-order
+traversal.
+All children of a variable will be evaluated befoure evaluating the variable.
+
+```python
+    sampled_values = {}
+    for variable in variables:
+        dist_params = []
+        for dist_arg in variable.dist_args:
+            if isinstance(dist_arg, float):
+                dist_params.append(dist_arg)
+            else:
+                dist_params.append(sampled_values[dist_arg.name])
+```
+
+With all the required arguments, we call the `sample` method of the variable's
+distribution.
+For prior sampling, we `sample` all types of variable, both `ObservedVariable`s
+and `LatentVariable`s.
+The result its stored in the `sampled_values` dict, to be used by one of the
+variable's parents (this is a DAG, we can have multiple parents).
+
+```python
+        sampled_values[variable.name] = variable.dist_class.sample(
+            dist_params
+        )
+```
+
+Finally, we return the sampled value of our root variable.
+
+```python
+    return sampled_values[root.name]
+```
+
+Let's see an example:
+
+```python
+x = LatentVariable("x", Normal, [5.0, 0.1])
+y = ObservedVariable("y", Normal, [x, 1.0], observed=1.5)
+
+prior_sample(x)
+# => 5.09
+
+prior_sample(y)
+# => 6.40
+```
+
+### Sampling from the posterior
+
+For posterior sampling we repeat the same procedure: traverse the DAG in
+post-order, starting at the root, accumulating variables inside `variables`.
+The only difference being `latent_values`, which has the same role as it had in
+`evaluate_log_density`: being a dictionary from latent variable names to their
+numeric values.
+When doing, for example, posterior predictive simulation we will use samples of
+the posterior chain for the `latent_values` dictionary.
+
+```python
+def posterior_sample(root, latent_values):
+    visited = set()
+    variables = []
+
+    def collect_variables(variable):
+        if isinstance(variable, float):
+            return
+
+        visited.add(variable)
+
+        for arg in variable.dist_args:
+            if arg not in visited:
+                collect_variables(arg)
+
+        # post-order
+        variables.append(variable)
+
+    collect_variables(root)
+
+    sampled_values = {}
+```
+
+Again, we either use `float`s as they are, or fetch sampled children from the
+`sampled_values` dictionary by their name.
+
+```python
+    for variable in variables:
+        dist_params = []
+        for dist_arg in variable.dist_args:
+            if isinstance(dist_arg, float):
+                dist_params.append(dist_arg)
+            else:
+                dist_params.append(sampled_values[dist_arg.name])
+```
+
+And finally the new bit: instead of sampling both latent and observed variables,
+we only sample observed values.
+Latent variables instead come from the `latent_values` dictionary, just like
+they did in `evaluate_log_density`.
+
+```python
+        if isinstance(variable, LatentVariable):
+            sampled_values[variable.name] = latent_values[variable.name]
+        if isinstance(variable, ObservedVariable):
+            sampled_values[variable.name] = variable.dist_class.sample(
+                dist_params
+          )
+
+    return sampled_values[root.name]
+```
+
+Let's see an example:
+
+```python
+x = LatentVariable("x", Normal, [5.0, 0.1])
+y = ObservedVariable("y", Normal, [x, 1.0], observed=1.5)
+
+posterior_sample(y, {"x": -2})
+# => 3.19
+posterior_sample(x, {"x": -2})
+# => -2.00
+```
+
+## Conclusion
+
+We continue our work on a small Probabilistic Programming Language, introducing
+and motivating the need for sampling.
+After analyzing pre-order and post-order DAG traversals, we discover that we
+need the latter to respect the DAG's evaluation order.
+Finally, we to implement an API for prior and posterior sampling, comparing its
+implementation with the one for log density evaluation.
+
+### Bonus: more on DAG traversals
+
+For those who read the
+[previous post](https://mrandri19.github.io/2022/01/12/a-PPL-in-70-lines-of-python.html),
+I want to point out that likelihood evaluation does not have this dependency
+structure.
+The likelihood of each variable can be computed independently
+([even in parallel!](https://www.multibugs.org/))
+because we know all the children's values, either from `latent_values` or from
+`variable.observed`.
+Since the order does not matter, I decided to use DFS because of its simplicity.
+
+For people familiar with DAG traversals, post-order traversal on our DAG is
+equivalent to performing a
+[_topological sorting_](https://en.wikipedia.org/wiki/Topological_sorting)
+of the transposed DAG.
+A topological ordering is the reversed post-ordering of a DAG, while in our
+implementation we are doing a post-ordering on the transposed DAG, without
+reversing at the end.
+Perhaps surprisingly these two actions are equivalent:<br>
+`reverse-list ∘ post-order-traversal ≡ post-order-traversal ∘ transpose-DAG`.
+Unsurprisingly, I was not the first to discover this. Check out these
+stackoverflow questions:
+
+1. [Is topological sort of an original graph same as post-ordering dfs of its transpose graph](https://cs.stackexchange.com/questions/124725/is-topological-sort-of-an-original-graph-same-as-post-ordering-dfs-of-its-transp),
+1. [Is topological sort of an original graph same as dfs of the transpose graph](https://stackoverflow.com/questions/61419786/is-topological-sort-of-an-original-graph-same-as-dfs-of-the-transpose-graph)
+
+Also, for applications of DAG traversals, check out
+[Eli's blog](https://eli.thegreenplace.net/2015/directed-graph-traversal-orderings-and-applications-to-data-flow-analysis/).
diff --git a/src/content/posts/2022-10-30-option-implied-stock-price-distribution.md b/src/content/posts/2022-10-30-option-implied-stock-price-distribution.md
new file mode 100644
index 0000000..076da1e
--- /dev/null
+++ b/src/content/posts/2022-10-30-option-implied-stock-price-distribution.md
@@ -0,0 +1,364 @@
+---
+title: "Option Implied Stock Price Distributions"
+---
+
+``` python
+import numpy as np
+import pandas as pd
+import QuantLib as ql
+import seaborn as sns
+import yfinance as yf
+from scipy.optimize import minimize_scalar
+from scipy.stats import norm
+```
+
+``` python
+import matplotlib.pyplot as plt
+
+%config InlineBackend.figure_format='retina'
+sns.set_theme(style="whitegrid")
+plt.rcParams["figure.figsize"] = (9, 3)
+plt.rcParams["axes.grid"] = True
+plt.rcParams["lines.marker"] = "."
+```
+
+# Introduction
+
+Options are financial contracts that give the buyer the right to
+purchase (or sell) the underlying asset at a fixed price in a certain
+time period. The *strike* $E$ of an option determines the price at which
+the underlying can be bought (for a call option) or sold (for a put
+option). The *exiration* $T$ determines the date at which the contract
+stops being valid.
+
+Option prices contain the market's probabilistic forecast on the future
+price of the underlying. This is because, in theory, the value of a call
+option $V(S, t)$at time$t$on an underlying$S$ is given by:
+
+$V(S, t) = e^{-r(T - t)} \mathbb{E}^{\mathbb{Q}} \left[ \text{max}(S - E, 0) \right]$
+
+where $\mathbb{E}^{\mathbb{Q}}[f(S)]$ is the expectation of a function
+of the underlying $f(S)$ under the *risk-neutral* probability measure
+$\mathbb{Q}$.
+
+We can recover the distribution (or probability meausure) of future
+prices $\mathbb{Q}$ by "inverting" the expectation that determines the
+option prices. How? In 1978 Breeden and Litzenberger gave us a formula
+that links option prices and the Probability Distribution Function (PDF)
+of the risk-netral distribution:
+
+$\frac{\partial^2 V}{\partial E^2} = e^{-r(T - t)} p^{\mathbb{Q}}(E)$
+
+# Method
+
+## Can we just use prices?
+
+The simplest implementation applies the Breeden-Litzenberger formula
+directly to option prices by approximating the second-order derivative
+with finite differences:
+
+$$
+
+\begin{align*}
+
+\frac{\partial^2 V}{\partial E^2} & = e^{-r(T - t)} p^{\mathbb{Q}}(E) \\
+
+\implies p^{\mathbb{Q}}(E) & = e^{r(T - t)} \frac{\partial^2 V}{\partial
+E^2} \\
+
+& \approx e^{r(T - t)} \frac{V(E + \delta E) + 2 V(E) - V(E - \delta
+E)}{(\delta E)^2}
+
+\end{align*}
+
+$$
+
+Unfortunately, the option's strikes aren't close enough to one another
+get a good approximation of the second derivative. For underlyings in
+the $\$100-\$200$range, the strikes are usually$\$5$ apart from each other.
+
+To improve the finite difference approximation we can interpolate the
+prices. Unfortunately this can lead to arbitrages, because a linear or,
+worse, a concave price interpolation implies a zero or negative (!)
+value in the implied future price PDF.
+
+## Let's work in IV-space
+
+Instead of directly interpolating the option's prices, we take a step
+backwards and interpolate one of the parameters that determine the price
+of an option.
+
+The price of an option is determined by several parameters, and the full
+formula is:
+
+$\text{option price} = V(S, t; \sigma, r, D, E, T)$
+
+where:
+
+- $S$ is the price of the underlying asset
+- $t$ is the time to expiration (in years)
+- $\sigma$ is the volatility (annualized standard deviation of the
+  returns) of the underlying
+- $r$ is the interest rate (annualized, compounded continuously)
+- $D$ is the dividend yield of the asset, e.g. a stock
+- $E$ is the strike price
+- $T$ is the expiration date
+
+We choose to interpolate the volatility $\sigma$. But wait, under the
+Black-Scholes (BS) model, isn't the volatility constant? What does it
+mean to interpolate it? It turns out that in practice, option prices do
+not follow the Black-Scholes model exactly. Running an option trading
+desk that trust the BS model unconditionally is a fun experiment left
+for the reader (this is not investment advice).
+
+By interpolating volatility we mean several steps:
+
+- Using the option prices to compute the Implied Volatilities (IVs),
+  i.e. the volatilities that make the BS model match the market prices
+- Interpolating the IVs into a continuous curve, using some parametric
+  or nonparametric model
+- Using the interpolated IVs and the BS model to compute continuous
+  prices for the options
+
+After all of these steps we have continuous prices that we can use to
+estimate the price distribution via finite differences.
+
+# Implementation
+
+## Price
+
+We use the Yahoo Finance API to download the prices of call options on
+Apple, expiring on February 17, 2023.
+
+``` python
+ticker = yf.Ticker("AAPL")
+```
+
+``` python
+def decorate_price_axes(ax: plt.Axes):
+    ax.axvline(ticker.info["currentPrice"], ls="--", c="k", label="Current price")
+    ax.xaxis.set_major_formatter("${x:.0f}")
+    ax.yaxis.set_major_formatter("${x:.0f}")
+    ax.legend()
+
+
+def decorate_iv_axes(ax: plt.Axes):
+    ax.axvline(ticker.info["currentPrice"], ls="--", c="k", label="Current price")
+    ax.xaxis.set_major_formatter("${x:.0f}")
+    ax.yaxis.set_major_formatter("{x:.0%}")
+    ax.set_xlabel("Strike")
+    ax.set_ylabel("Implied volatility")
+    ax.legend()
+```
+
+``` python
+prices = (
+    ticker.option_chain(date="2023-02-17")
+    .calls.rename(columns={"lastPrice": "last_price"})[
+        ["strike", "bid", "ask", "last_price"]
+    ]
+    .assign(mid_price=lambda df: (df["bid"] + df["ask"]) / 2)
+    .set_index("strike")[["mid_price", "last_price"]]
+)
+```
+
+We estimate the prices using the midprice, the arithmetic mean of bid
+and ask. Using the last traded price for each option contract gives a
+much noisier estimate.
+
+``` python
+ax = prices.plot(
+    style="+",
+    xlabel="Strike",
+    ylabel="Option price",
+    title="Mid price vs last traded price",
+)
+decorate_price_axes(ax)
+None
+```
+
+![](/assets/images/option-implied-stock-price-distribution/60147957364aa5f59827d14c4d5331e6466999aa.png)
+
+## Implied Volatility (IV)
+
+We implement in `call_option_value_black_scholes` the Black-Scholes
+formula for the price of an European call option:
+
+$V(S, t) = S e^{-D (T- t)} N(d_1) - E e^{-r (T- t)} N(d_2)$ $$
+d_1 = \frac{
+    \log(S / E) + \left(r + \frac{\sigma^2}{2}\right) (T - t)
+}{
+    \sigma \sqrt{T - t}
+}
+$$$d_2 = d_1 - \sigma \sqrt{T - t}$
+
+``` python
+def call_option_value_black_scholes(S, t, sigma, r, D, E, T,):
+    tau = T - t
+    N = norm.cdf
+
+    d1 = (np.log(S / E) + (r + 0.5 * sigma**2) * tau) / (sigma * np.sqrt(tau))
+    d2 = d1 - sigma * np.sqrt(tau)
+
+    V = S * np.exp(-D * tau) * N(d1) - E * np.exp(-r * tau) * N(d2)
+
+    return V
+```
+
+Then, we implement in `value_to_iv` the "inverse" of this formula. This
+function goes from the price of an European call option to the implied
+volatility that makes the BS formula match the market price.
+
+If you like formulas, this is the optimization problem that is being
+solved:
+
+$$ \sigma =
+    \underset{\tilde \sigma}{\mathrm{argmin}}
+    (V^{\text{market}} - V^{BS}(\tilde \sigma))^2
+ $$
+
+``` python
+def value_to_iv(V, E, S, t, r, D, T):
+    optimization_result = minimize_scalar(
+        fun=lambda sigma: (
+            V - call_option_value_black_scholes(S, t, sigma + 1e-3, r, D, E, T)
+        )
+        ** 2,
+        bounds=(0, float("+inf")),
+    )
+    assert optimization_result.success
+    return optimization_result.x
+```
+
+``` python
+S = ticker.info["currentPrice"]
+r = 0.0325
+D = 0.0059
+T = 1.0
+today = ql.Date(31, 10, 2022)
+expiration = ql.Date(17, 2, 2023)
+trading_days = 252
+t = (trading_days - ql.TARGET().businessDaysBetween(today, expiration)) / (trading_days)
+
+ivs = pd.DataFrame(index=prices.index)
+ivs["iv"] = [
+    value_to_iv(V, E, S, t, r, D, T) for E, V in zip(prices.index, prices["mid_price"])
+]
+```
+
+We plot the *volatility surface*, the implied volatility for every
+strike. First, we notice that the volatility is not constant, instead it
+has a "smile-like" shape, implying that deep out-of-the money tails are
+more expensive than the BS model predicts. Second, there seem to be some
+outliers in the sub \$100 strikes.
+
+``` python
+ax = ivs.plot(title="Implied Volatility (IV) for every strike", style="+")
+decorate_iv_axes(ax)
+```
+
+![](/assets/images/option-implied-stock-price-distribution/9e76ddf1aebe13fd0e6d010638c36a4adfb6dee7.png)
+
+## Smoothed IV
+
+``` python
+smoothed_ivs = (
+    ivs
+    .rolling(window=7, center=True, win_type="gaussian")
+    .mean(std=2)
+    .dropna()
+    .rename(columns={"iv": "smoothed_iv"})
+)
+```
+
+``` python
+ax = ivs.plot(title="IV vs smoothed IV for every strike", style="+")
+smoothed_ivs.plot(ax=ax, style=".")
+decorate_iv_axes(ax)
+```
+
+![](/assets/images/option-implied-stock-price-distribution/4f10bdc5afe891cee7c683e3a89b556612d565df.png)
+
+## Interpolated IV
+
+Then, we intepolate between the smoothed IVs using a cubic spline.
+
+``` python
+upsampling_rate = 50
+interpolated_ivs = smoothed_ivs.reindex(
+    np.linspace(
+        smoothed_ivs.index.min(),
+        smoothed_ivs.index.max(),
+        (smoothed_ivs.index.size - 1) * upsampling_rate + 1,
+    )
+).assign(
+    interpolated_iv=lambda df: df["smoothed_iv"].interpolate(method="cubicspline")
+)[
+    ["interpolated_iv"]
+]
+```
+
+``` python
+ax = ivs.plot(style="+", title="IV vs smoothed IV vs interpolated IV for every strike")
+smoothed_ivs.plot(ax=ax, style=".")
+interpolated_ivs.plot(ax=ax, style="-")
+decorate_iv_axes(ax)
+```
+
+![](/assets/images/option-implied-stock-price-distribution/e9efa0e2efca50328153976e467a1c3f1489ae44.png)
+
+## IV-Interpolated price
+
+``` python
+interpolated_prices = pd.DataFrame(index=interpolated_ivs.index)
+interpolated_prices["interpolated_price"] = [
+    call_option_value_black_scholes(S, t, sigma, r, D, E, T)
+    for E, sigma in zip(interpolated_ivs.index, interpolated_ivs["interpolated_iv"])
+]
+```
+
+``` python
+ax = prices[["mid_price"]].plot(style="+", title="Mid prive vs IV-interpolated price")
+interpolated_prices.plot(style="-", ax=ax)
+decorate_price_axes(ax)
+```
+
+![](/assets/images/option-implied-stock-price-distribution/605e32822acb1e2149e9577bae0ef29e82aa2b5b.png)
+
+## Implied price PDF
+
+``` python
+implied_price_pdf = interpolated_prices.pipe(
+    lambda df: df.shift(-1) - 2 * df + df.shift(1)
+).dropna().transform(lambda df: df / df.sum())
+```
+
+``` python
+ax = implied_price_pdf.plot(
+    style="-", xlabel="Price", ylabel="p", title="Implied price distribution"
+)
+ax.axvline(ticker.info["currentPrice"], ls="--", c="k", label="Current price")
+ax.legend()
+None
+```
+
+![](/assets/images/option-implied-stock-price-distribution/4e5e7dcf9bcd900ec17975ad3bf339672970ec57.png)
+
+# Conclusion and future work
+
+TODO(Andrea): write
+
+# References
+
+- [Paul Wilmott Introduces Quantitative Finance, 2nd
+  Edition](https://www.wiley.com/en-us/Paul+Wilmott+Introduces+Quantitative+Finance%2C+2nd+Edition-p-9781118836798)
+- [Breeden, Litzenberger - Prices of State-Contingent Claims Implicit in
+  Option
+  Prices](https://faculty.baruch.cuny.edu/lwu/890/BreedenLitzenberger78.pdf)
+- [Reasonable Deviations - Option-implied probability distributions,
+  part
+  2](https://reasonabledeviations.com/2020/10/10/option-implied-pdfs-2/)
+- [Morgan Stanley - How Options Implied Probabilities Are
+  Calculated](https://www.morganstanley.com/content/dam/msdotcom/en/assets/pdfs/Options_Probabilities_Exhibit_Link.pdf)
+- [Quant StackExchange - Explaining the Risk Netural
+  Measure](https://quant.stackexchange.com/questions/55239/explaining-the-risk-neutral-measure)
diff --git a/src/content/posts/2022-11-20-the-volatility-smile.md b/src/content/posts/2022-11-20-the-volatility-smile.md
new file mode 100644
index 0000000..6f96d92
--- /dev/null
+++ b/src/content/posts/2022-11-20-the-volatility-smile.md
@@ -0,0 +1,251 @@
+---
+title: "The Volatility Smile"
+---
+
+# Introduction
+
+This notebook shows that the volatility smile is a caused by the excess
+kurtosis (the "fat tails") of the log-returns distribution.
+
+To show this we take three steps:
+
+- Simulate the underlying prices using log-returns sampled from a normal
+  distribution (thin-tailed) and a t-distribution (fat tailed).
+
+- For every distribution, compute the prices of a series of call options
+  using samples of the underlying prices.
+
+- For every distribution, compute the "implied volatility", i.e. the
+  volatility needed to make the Black Scholes model predictions match
+  the observed price. This is done for every strike.
+
+# Log returns and stock prices
+
+``` python
+%config InlineBackend.figure_format='retina'
+import matplotlib.pyplot as plt
+import numpy as np
+import seaborn as sns
+
+from numpy import newaxis
+from scipy.stats import norm, skew, kurtosis
+from scipy.optimize import minimize_scalar
+
+plt.rcParams['figure.figsize'] = (9, 3)
+sns.set_theme(style="darkgrid")
+
+rng = np.random.default_rng(seed=42)
+```
+
+``` python
+yearly_volatility = 0.15
+initial_value = 100
+num_samples = 100_000
+
+
+def compute_normal_log_returns_and_stock_prices(
+    yearly_volatility, initial_value, num_samples
+):
+    lognormal_mean_one_correction = -(yearly_volatility**2) / 2
+    yearly_log_returns = rng.normal(
+        loc=lognormal_mean_one_correction,
+        scale=yearly_volatility,
+        size=(num_samples,),
+    )
+    stock_price_samples = initial_value * np.exp(yearly_log_returns)
+    return dict(
+        yearly_log_returns=yearly_log_returns, stock_price_samples=stock_price_samples
+    )
+
+
+def compute_t_dist_log_returns_and_stock_prices(
+    yearly_volatility, initial_value, num_samples, degrees_of_freedom
+):
+    lognormal_mean_one_correction = -(yearly_volatility**2) / 2
+    # the variance of a t-distributed random variable is df / (df - 2) so to match it
+    # with the Normal we need to add a correction factor.
+    t_dist_std_correction = 1 / np.sqrt(degrees_of_freedom / (degrees_of_freedom - 2))
+    yearly_log_returns = lognormal_mean_one_correction + yearly_volatility * (
+        t_dist_std_correction
+    ) * rng.standard_t(
+        df=degrees_of_freedom,
+        size=(num_samples,),
+    )
+    stock_price_samples = initial_value * np.exp(yearly_log_returns)
+    return dict(
+        yearly_log_returns=yearly_log_returns, stock_price_samples=stock_price_samples
+    )
+
+
+def compute_skewed_t_dist_log_returns_and_stock_prices(
+    yearly_volatility, initial_value, num_samples, degrees_of_freedom
+):
+    lognormal_mean_one_correction = -(yearly_volatility**2) / 2
+    # the variance of a t-distributed random variable is df / (df - 2) so to match it
+    # with the Normal we need to add a correction factor.
+    t_dist_std_correction = 1 / np.sqrt(degrees_of_freedom / (degrees_of_freedom - 2))
+    yearly_log_returns = lognormal_mean_one_correction + yearly_volatility * (
+        t_dist_std_correction
+    ) * rng.standard_t(
+        df=degrees_of_freedom,
+        size=(num_samples,),
+    )
+    stock_price_samples = initial_value * np.exp(yearly_log_returns)
+    return dict(
+        yearly_log_returns=yearly_log_returns, stock_price_samples=stock_price_samples
+    )
+```
+
+``` python
+distributions = {
+    "normal": compute_normal_log_returns_and_stock_prices(
+        yearly_volatility, initial_value, num_samples
+    ),
+    "t_dist": compute_t_dist_log_returns_and_stock_prices(
+        yearly_volatility, initial_value, num_samples, degrees_of_freedom=3
+    ),
+}
+```
+
+``` python
+def plot_log_return_and_stock_price(distributions):
+    fig, (log_return_ax, stock_price_ax) = plt.subplots(
+        nrows=2, ncols=1, figsize=(8, 5)
+    )
+    for name, dist in distributions.items():
+        ylr = dist["yearly_log_returns"]
+        log_return_ax.hist(
+            ylr,
+            bins=np.arange(ylr.min(), ylr.max(), 0.05),
+            density=True,
+            label=f"mean={ylr.mean():.2f}, std={ylr.std():.2f},\n"
+            f"skew={skew(ylr):.2f}, kurtosis={kurtosis(ylr):.2f}",
+            alpha=0.5,
+        )
+        log_return_ax.set_xlim(-3, 3)
+    log_return_ax.set_xlabel("Log return")
+    log_return_ax.set_title("Yearly log return distribution")
+    log_return_ax.legend()
+    for name, dist in distributions.items():
+        sp = dist["stock_price_samples"]
+        stock_price_ax.hist(
+            sp,
+            bins=np.arange(0, 200, 2.5),
+            range=(-3, 3),
+            density=True,
+            label=f"{name}, mean={sp.mean():.2f}",
+            alpha=0.5,
+        )
+        stock_price_ax.set_xlim(0, 200)
+    stock_price_ax.set_xlabel("Stock price")
+    stock_price_ax.set_title("Yearly stock price distribution")
+    stock_price_ax.legend()
+    fig.tight_layout()
+    return fig
+
+
+plot_log_return_and_stock_price(distributions)
+None
+```
+
+![](/assets/images/the-volatility-smile/bf49e3cdb4cda1a633d167383de5fbef7c9c97f7.png)
+
+# Monte Carlo Option Pricing
+
+``` python
+def compute_call_prices_monte_carlo(stock_price_samples, strikes):
+    return np.maximum(
+        0,
+        stock_price_samples[:, newaxis] - strikes[newaxis, :],
+    ).mean(axis=0)
+
+
+strikes = np.arange(80, 120, 1)
+
+for dist in distributions.values():
+    dist["call_prices"] = compute_call_prices_monte_carlo(
+        dist["stock_price_samples"], strikes
+    )
+```
+
+``` python
+def plot_monte_carlo_prices(distributions):
+    fig, ax = plt.subplots(figsize=(9, 3))
+    ax.plot(
+        strikes,
+        np.maximum(0, initial_value - strikes),
+        label="Intrinsic value",
+        marker=".",
+        color="black",
+    )
+    for name, dist in distributions.items():
+        ax.plot(
+            strikes, dist["call_prices"], label=f"{name} Monte Carlo prices", marker="."
+        )
+    ax.set_xlabel("Strike price")
+    ax.set_ylabel("Call option price")
+    ax.legend()
+    ax.set_title("Option prices under different underlying dynamics")
+    return fig
+
+
+plot_monte_carlo_prices(distributions)
+None
+```
+
+![](/assets/images/the-volatility-smile/1361a759ca84aae73e7093ef5f353b23696dfe9d.png)
+
+# Black-Scholes implied volatilities
+
+``` python
+def compute_call_price_black_scholes(S, t, sigma, r, K, T):
+    tau = T - t
+    N = norm.cdf
+
+    d1 = (np.log(S / K) + (r + 0.5 * sigma**2) * tau) / (sigma * np.sqrt(tau))
+    d2 = d1 - sigma * np.sqrt(tau)
+
+    V = S * N(d1) - K * N(d2)
+
+    return V
+
+
+def value_to_iv(V, S, t, r, K, T):
+    optimization_result = minimize_scalar(
+        fun=lambda sigma: (
+            (V - compute_call_price_black_scholes(S, t, sigma + 1e-9, r, K, T)) ** 2
+        ),
+        bounds=(0, 1),
+    )
+    assert optimization_result.success
+    return optimization_result.x
+```
+
+``` python
+for dist in distributions.values():
+    dist["implied_volatilities"] = np.array(
+        [
+            value_to_iv(V=V, S=initial_value, t=0, r=0, K=K, T=1)
+            for K, V in zip(strikes, dist["call_prices"])
+        ]
+    )
+```
+
+``` python
+def plot_implied_volatilities(distributions):
+    fig, ax = plt.subplots(figsize=(9, 3))
+    for name, dist in distributions.items():
+        ax.plot(strikes, dist["implied_volatilities"], marker=".", label=f"{name}")
+    ax.set_ylim(0, 0.2)
+    ax.set_xlabel("Strike price")
+    ax.set_ylabel("Yearly implied volatility")
+    ax.legend()
+    ax.set_title("Option BS implied volatilities under different underlying dynamics")
+    return fig
+
+
+plot_implied_volatilities(distributions)
+None
+```
+
+![](/assets/images/the-volatility-smile/c93bfb99c27a4405d70487827f4a16e859aae92f.png)
diff --git a/src/content/posts/2023-05-28-what-is-the-elbo-in-variational-inference.md b/src/content/posts/2023-05-28-what-is-the-elbo-in-variational-inference.md
new file mode 100644
index 0000000..0ae2ab7
--- /dev/null
+++ b/src/content/posts/2023-05-28-what-is-the-elbo-in-variational-inference.md
@@ -0,0 +1,453 @@
+---
+title: "What is the ELBO in Variational Inference?"
+---
+
+## Bayesian Inference
+
+### The three main objects of Bayesian inference
+
+In Bayesian Inference, there are **three main objects** we want to study:
+
+- The **distribution of observations** $y \sim Y$. Under the Bayesian framework, we believe that the observed data is sampled from a probability distribution.
+  For example, if we measure the height of every person in a group of people, we could assume that the observations come from a Normal distribution i.e. $\text{height} \sim N$.
+
+- The **distribution of parameters** $\theta \sim \Theta$. Parameters describe the process that generates the observed data and cannot be observed directly.
+  In our height measurement example, having picked a normal distribution for the observations, we can say that our parameters are the distribution's mean and variance i.e. $\theta = \{\mu, \sigma^2\}$.
+  Crucially, we need to specify the distribution of all parameters before seeing any observation. For example, we could say that the mean comes from a standard normal distribution and the variance comes from a standard half-normal distribution i.e.
+  $\mu \sim N(0, 1^2)$, and $\sigma^2 \sim N^+(0, 1^2)$.
+  Our complete model then would be that $\text{height} \sim N(\mu, \sigma^2)$.
+
+- The **posterior distribution** $p\left(\theta \mid y \right)$ connects observations and parameters by specifying the distribution of parameters conditional on the value of the observations.
+  In our example, it would tell us what the mean and the variance of the height are.
+  A possible posterior distribution could be $\mu \mid y \sim N(1.79, 0.05^2)$and$\sigma^2 \mid y \sim N^+(0.10, 0.03^2)$.
+
+### Bayes' theorem, likelihood, prior, and evidence
+
+How to obtain the posterior distribution? Given some observations, how do we know which parameters generated them?
+This is where **Bayes' theorem** comes in.
+It tells us how to write the Probability Density Function (PDF) of the posterior distribution using three simpler PDFs:
+
+$$
+  \underbrace{
+    p\left(\theta \mid y\right)
+  }_\text{posterior}
+  =
+  \frac{
+    \overbrace{
+      p\left(y \mid \theta\right)
+    }^\text{likelihood}
+    \overbrace{
+      p\left( \theta \right)
+    }^\text{prior}
+  }{
+    \underbrace{
+      p\left( y \right)
+    }_\text{evidence}
+  }
+$$
+
+We define our model by directly choosing the **prior** $p\left( \theta \right)$and the **likelihood**$p\left(y \mid \theta\right)$ so they are usually easy to evaluate.
+The **evidence** $p\left( y \right)$ however, is not clearly computable, especially when written in this formulation.
+
+### Law of total probability and intractability of the evidence integral
+
+We can use the **law of total probability** to rewrite the evidence in terms of objects that we know, the prior and the likelihood:
+
+$$
+p\left( y \right)
+=
+\int p\left( y \mid \theta \right) p\left( \theta \right) d\theta
+$$
+
+The intuition behind this is that the integral of the PDF of the posterior distribution must be equal to 1 to be a valid distribution. The "shape" of the posterior PDF is only determined by the likelihood times the posterior. To make the integral of likelihood times posterior equal to one, we divide by a constant. The evidence is this constant.
+
+Unfortunately, for most interesting applications **the evidence integral has no closed-form solution** (Gaussian Processes are one of the few interesting exceptions).
+Because of this, **we cannot directly use Bayes' theorem to compute our posterior** but we will have to take a more "approximate" route.
+
+## Variational Inference
+
+### Approximate variational posterior
+
+Given that we cannot directly know the posterior's PDF (and thus its distribution) by applying Bayes' theorem, let's do something else.
+What if, instead of getting the exact posterior distribution, we got "close enough" by finding a distribution $q\left( \theta \right)$that is very similar to the posterior$p\left(\theta \mid y\right)$ and also very easy to compute?
+Let's call this distribution $q\left( \theta \right)$ **the variational posterior**.
+
+What does it mean for $q\left( \theta \right)$to be "close" to$p\left(\theta \mid y\right)$? To answer that, we need a notion of distance between distributions. The distance we are going to use is the **KL-divergence**:
+
+$$
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+\stackrel{\text{def}}{=}
+\int{
+    q\left( \theta \right)
+    \log\left(
+    \frac{
+        q\left( \theta \right)
+    }{
+        p\left(\theta \mid y\right)
+    }
+    \right)
+}
+d\theta
+$$
+
+With the distance between variational and true posterior defined, we can define our
+**target variational distribution as the solution of the optimization problem**:
+
+$$
+q^*\left( \theta \right)
+=
+\argmin_q \text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+
+$$
+
+### Solving the variational optimization problem
+
+Let's **write down the definition of KL-divergence** and apply the properties of logarithms:
+
+$$
+\begin{aligned}
+
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+&=
+\int{
+    q\left( \theta \right)
+    \log\left(
+    \frac{
+        q\left( \theta \right)
+    }{
+        p\left(\theta \mid y\right)
+    }
+    \right)
+}
+d\theta \\
+
+&=
+\int{
+    q\left( \theta \right)
+    \left[
+        \log\left(
+            q\left( \theta \right)
+        \right)
+        -
+        \log\left(
+            p\left(\theta \mid y\right)
+        \right)
+    \right]
+}
+d\theta \\
+
+\end{aligned}
+$$
+
+The main problem with this expression is that our true posterior $p\left(\theta \mid y\right)$ is on both sides of the expression.
+Let's work on the right hand side and **remove the true posterior by using Bayes' theorem** and the properies of logarithms:
+
+
+$$
+\begin{aligned}
+
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+
+&=
+\int{
+    q\left( \theta \right)
+    \left[
+        \log\left(
+            q\left( \theta \right)
+        \right)
+        -
+        \log\left(
+            p\left(\theta \mid y\right)
+        \right)
+    \right]
+}
+d\theta \\
+
+&=
+\int{
+    q\left( \theta \right)
+    \left[
+        \log\left(
+            q\left( \theta \right)
+        \right)
+        -
+        \log\left(
+          \frac{
+              p\left(y \mid \theta\right)
+              p\left( \theta \right)
+          }{
+              p\left( y \right)
+          }
+        \right)
+    \right]
+}
+d\theta \\
+
+&=
+\int{
+    q\left( \theta \right)
+    \left[
+        \log\left(
+            q\left( \theta \right)
+        \right)
+        -
+        \left(
+            \log p\left(y \mid \theta\right)
+            +
+            \log p\left( \theta \right)
+            -
+            \log p\left( y \right)
+        \right)
+    \right]
+}
+d\theta \\
+
+&=
+\int{
+    q\left( \theta \right)
+    \left[
+        \log\left(
+            q\left( \theta \right)
+        \right)
+        -
+        \log p\left(y \mid \theta\right)
+        -
+        \log p\left( \theta \right)
+        +
+        \log p\left( y \right)
+    \right]
+}
+d\theta \\
+
+&=
+\int{
+    q\left( \theta \right)
+    \left(
+        \log q\left( \theta \right)
+        -
+        \log p\left( \theta \right)
+    \right)
+    d\theta
+}
+-
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
++
+\int{
+    q\left( \theta \right)
+    \log p\left( y \right)
+    d\theta
+}
+\\
+
+&=
+\int{
+    q\left( \theta \right)
+    \log\left(
+        \frac{
+            q\left( \theta \right)
+        }{
+            \log p\left( \theta \right)
+        }
+    \right)
+    d\theta
+}
+-
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
++
+\int{
+    q\left( \theta \right)
+    \log p\left( y \right)
+    d\theta
+}
+\\
+\end{aligned}
+$$
+
+We can now notice that **the first term is a KL-divergence**, and that
+**in the last term, $\log p\left( \theta \right)$ can be extracted from the integral**, which sums up to 1:
+
+$$
+\begin{aligned}
+
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+
+&=
+\int{
+    q\left( \theta \right)
+    \log\left(
+        \frac{
+            q\left( \theta \right)
+        }{
+            \log p\left( \theta \right)
+        }
+    \right)
+    d\theta
+}
+-
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
++
+\int{
+    q\left( \theta \right)
+    \log p\left( y \right)
+    d\theta
+}
+\\
+
+&=
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \right)
+\right)
+-
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
++
+\log p\left( y \right)
+\\
+\end{aligned}
+$$
+
+We have achieved our goal, the true posterior only appears in a single term of the expression, currently the left hand side.
+Let's rearrange the terms:
+
+$$
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+=
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \right)
+\right)
+-
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
++
+\log p\left( y \right)
+$$
+
+to get:
+
+$$
+\log p\left( y \right)
+=
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
+- \text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \right)
+\right)
++
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+$$
+
+### The ELBO
+
+The final step requires noticing that **$\log{p(y)}$is constant w.r.t.$\theta$**.
+Thus, choosing a $\theta$ that increases the first right term will make the second term smaller.
+
+$$
+\overbrace{
+    \log p\left( y \right)
+}^\text{the evidence is a constant}
+=
+\overbrace{
+    \int{
+        q\left( \theta \right)
+        \log p\left(y \mid \theta\right)
+        d\theta
+    }
+    - \text{KL}\left(
+        q\left( \theta \right)
+        \middle\|
+        p\left(\theta \right)
+    \right)
+}^\text{so when the 1st term increases}
++
+\overbrace{
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \mid y\right)
+\right)
+}^\text{the 2nd term must decrease}
+$$
+
+And we are done!
+Let's give a name to the 1st term, i.e. **the Evidence Lower BOund (ELBO)**:
+
+$$
+\text{ELBO}(\theta)
+\stackrel{\text{def}}{=}
+\int{
+    q\left( \theta \right)
+    \log p\left(y \mid \theta\right)
+    d\theta
+}
+-
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \right)
+\right)
+$$
+
+Then **maximising the ELBO is equivalent to minimizing the variational loss**
+$$
+\text{KL}\left(
+    q\left( \theta \right)
+    \middle\|
+    p\left(\theta \right)
+\right)
+$$.
+
diff --git a/src/content/posts/2023-06-25-one-dimensional-variational-inference.md b/src/content/posts/2023-06-25-one-dimensional-variational-inference.md
new file mode 100644
index 0000000..af2e553
--- /dev/null
+++ b/src/content/posts/2023-06-25-one-dimensional-variational-inference.md
@@ -0,0 +1,167 @@
+---
+title: "One-Dimensional Variational Inference"
+---
+
+In this post we will get our hands dirty and use the concepts we learned
+in ["What is the ELBO in Variational
+Inference?"](https://mrandri19.github.io/2023/05/28/what-is-the-elbo-in-variational-inference.html)
+to perform variational inference for a 1D distribution.
+
+As this post is a Jupyter notebook, we first begin with the usual
+scientific Python imports.
+
+``` python
+import numpy as np
+import seaborn as sns
+import matplotlib.pyplot as plt
+%config InlineBackend.figure_format='retina'
+sns.set_theme(style='darkgrid')
+
+from scipy.stats import norm, skewnorm
+from scipy.optimize import minimize
+from scipy.integrate import quad
+```
+
+## Prior, likelihood, and posterior
+
+We begin by implementing the prior and the likelihood. The prior is a
+Normal distribution centered around 0 and with standard deviation 5. We
+make the standard deviation large to allow for a wide range posterior
+values. The likelihood, thanks to Variational Inference, can be any
+distribution, since we don't need the prior and likelihood to be
+conjugate. We chose the likelihood to have the PDF of a [skew normal
+distribution](https://en.wikipedia.org/wiki/Skew_normal_distribution).
+
+``` python
+PRIOR_MU = 0
+PRIOR_SIGMA = 5
+
+
+def prior(theta):
+    "p(theta) = N(theta | 0, 5)"
+    return norm.pdf(theta, loc=PRIOR_MU, scale=PRIOR_SIGMA)
+
+
+def likelihood(y, theta):
+    "p(y | theta) = skewnorm(y | 5, theta, 2)"
+    return skewnorm.pdf(y, a=5, loc=theta, scale=2)
+```
+
+We numerically compute our posterior as there is no analytical solution
+for it. This is possible because we are in 1D but for real-world
+high-dimensional problems, this is untractable. We will use it to verify
+the correctness of our solution.
+
+``` python
+def posterior(theta, y):
+    "p(theta | y) = p(y | theta) * p(theta) / p(y)"
+    evidence, _ = quad(
+        lambda theta_: likelihood(y, theta_) * prior(theta_),
+        -np.inf,
+        np.inf,
+    )
+    return likelihood(y, theta) * prior(theta) / evidence
+```
+
+## Variational posterior and variational objective
+
+And now to the juicy parts: we need to implement our variational
+posterior and the variational objective that we will maximize. We choose
+the variational posterior to be Normal as it is a flexible distribution
+and it gives us a closed-form expression for the KL-divergence of the
+variational posterior and prior. The variational objective uses
+numerical integration to compute the 1D integrals of the data fit term
+and closed-form expression for the KL divergence. Even if we were
+solving this problem in higher dimensions, the data fit term will be a
+product of 1D integrals, which is a bit more expensive to compute but
+its complexity is linear in the number of dimensions, not exponential.
+
+``` python
+def variational_posterior(theta, m, s):
+    "q(theta) = N(theta | m, s))"
+    return norm.pdf(theta, loc=m, scale=s)
+
+
+def data_fit_term(y, m, s):
+    "E_q(theta | m, s) [log p(y | theta)]"
+    integral, _ = quad(
+        lambda theta: variational_posterior(theta, m, s)
+        * (np.log(likelihood(y, theta) + 1e-8)),
+        -np.inf,
+        np.inf,
+    )
+    return integral
+
+
+def kl_term(m, s):
+    "KL(q(theta | m, s) || p(theta))"
+    return np.log(PRIOR_SIGMA / s) + (
+        (s**2 + (m - PRIOR_MU) ** 2) / (2 * PRIOR_SIGMA**2) - 0.5
+    )
+
+
+def variational_objective(y, m, s):
+    return data_fit_term(y, m, s) - kl_term(m, s)
+```
+
+## Finding the best variational approximation
+
+Before solving our optimization problem, let's first see what our
+starting state looks like with the plotting function defined below.
+
+``` python
+def plot_variational_and_true_posterior(y, theta, m, s):
+    fig, ax = plt.subplots(figsize=(8, 4))
+
+    ax.plot(theta, prior(theta), label="$p(\\theta)$")
+    ax.plot(theta, variational_posterior(theta, m, s), label="$q(\\theta)$")
+    ax.plot(theta, posterior(theta, y), label="$p(\\theta | y)$")
+
+    ax.set_xlabel("$\\theta$")
+    ax.set_ylabel("Density")
+
+    obj = variational_objective(y, m, s)
+
+    ax.set_title(
+        f"""
+Prior, variational posterior, and true posterior
+$m$={m:.2f}, $s$={s:.2f}, $L[q]$={obj:.2f}
+    """
+    )
+    ax.legend()
+
+    fig.tight_layout()
+```
+
+We assume that our only observation is y=3 and we plot the prior,
+variational posterior, and true posterior for a range of values.
+
+``` python
+y = 3
+theta = np.linspace(-20, 20, 1000)
+plot_variational_and_true_posterior(y, theta, -0.5, 1.3)
+```
+
+![](/assets/images/one-dimensional-variational-inference/25ef419437339814f04b3e29d1ddd7b35be169dc.png)
+
+Now we can finally run Scipy's optimizer to maximize (or minimize the
+negated) variational objective. And see that it indeed worked! The
+variational posterior is quite close to the true posterior distribution.
+We can also see that the normal variational posterior is not skewed like
+the likelihood, but it tries to compensate by moving the mean to the
+left, where the posterior is skewed.
+
+``` python
+res = minimize(
+    lambda x: -variational_objective(y, x[0], x[1]),
+    x0=[0, 5],
+    bounds=[(-10, 10), (0.1, 10)],
+)
+m, s = res.x
+plot_variational_and_true_posterior(y, theta, m, s)
+```
+
+![](/assets/images/one-dimensional-variational-inference/e6c3fa29b7c6e5e45c67c9814708a0b9cbe8b6c3.png)
+
+That's all folks! In the next post we will run a similar experiment, but
+using multiple dimensions.
diff --git a/src/content/posts/2026-04-03-2d-quadcopter-simulation.md b/src/content/posts/2026-04-03-2d-quadcopter-simulation.md
new file mode 100644
index 0000000..7ecb64b
--- /dev/null
+++ b/src/content/posts/2026-04-03-2d-quadcopter-simulation.md
@@ -0,0 +1,300 @@
+---
+title: "Simulating a 2D quadcopter from scratch"
+---
+
+<!-- Introduction -->
+In this post, we build a simple simulation of a 2D (planar) quadcopter, a type of drone with four propellers.
+We will derive the equations of motion, rewrite them in state-space form, and simulate the resulting system in Python.
+
+Why simulate a quadcopter at all? If you want to design a controller, or train a reinforcement learning agent, you first need a model you can run in software.
+This post builds that first simulation step from scratch in 2D, so we can understand the dynamics before moving on to control.
+
+## Problem setup and coordinates
+
+<!-- FBD axes -->
+We start with the free-body diagram shown below.
+We choose $y$as the horizontal axis and$z$ as the vertical axis.
+This convention will be useful later if we extend the model to a 3D quadcopter.
+By the right-hand rule, the $x$ axis points out of the page.
+
+<!-- FBD body and forces -->
+We model the quadcopter body as a rigid body located at $C$with mass$m$and two arms of length$\ell$.
+The body can rotate in the $yz$plane by an angle$\phi$.
+We take $\phi > 0$to mean a counterclockwise rotation that goes from$y$to$z$.
+Gravity acts downward with magnitude $mg$.
+Each arm carries a propeller that generates a thrust force, denoted by $F_1$and$F_2$, perpendicular to the body.
+
+<figure>
+    <img src="/assets/images/2d-quadcopter-simulation/free-body-diagram.svg"
+    style="max-width: 50%; display: block; margin: auto;"/>
+</figure>
+
+## Deriving the equations of motion
+
+<!-- FBD to equations of motion, notation -->
+From this free-body diagram, we can derive the equations of motion.
+We begin with the Newton-Euler rigid-body equations: two translational equations, one for $y$and one for$z$, and one rotational equation for $\phi$.
+Here, $F_y$and$F_z$ are the net force components along the corresponding axes.
+$\tau$is the net torque, and$I$ is the moment of inertia about the center of mass.
+We denote time derivatives with dots, so a double dot means a second derivative with respect to time.
+
+$$
+\begin{aligned}
+
+m \ddot{y} &= \sum F_y \\
+m \ddot{z} &= \sum F_z \\
+I \ddot{\phi} &= \sum \tau
+
+\end{aligned}
+$$
+
+Resolving, with some trigonometry, the thrust forces into the $y$and$z$ directions gives:
+
+$$
+\begin{aligned}
+
+m \ddot{y} &= - (F_1 + F_2) \sin \phi \\
+m \ddot{z} &= (F_1 + F_2) \cos \phi - m g \\
+I \ddot{\phi} &= (F_1 - F_2) \ell
+
+\end{aligned}
+$$
+
+## Converting to state-space form
+
+<!-- Equations of motion to state-space representation -->
+To simulate the system numerically, it is convenient to rewrite it in state-space form.
+For that, we must define the state $\mathbf{x}$, the minimal set of variables that describes the system, and the input $\mathbf{u}$, the variables we control.
+Our goal is to express how the system evolves over time in the form:
+
+$$
+\mathbf{\dot{x}} = f(\mathbf{x}, \mathbf{u})
+$$
+
+<!-- Definition of input -->
+<!-- Equations of motion only derivative on the left -->
+The controllable quantities are the propeller thrusts $F_1$and$F_2$.
+Instead of using them directly, we define the input vector as $\mathbf{u} = \left[ (F_1 + F_2), (F_1 - F_2) \right]^T$, which leads to a cleaner formulation.
+Substituting these inputs into the equations of motion and isolating the derivatives on the left-hand side gives:
+
+$$
+\begin{aligned}
+
+\ddot{y} &= - \frac{u_1}{m} \sin \phi \\
+\ddot{z} &= \frac{u_1}{m} \cos \phi - g \\
+\ddot{\phi} &= \frac{u_2}{I} \ell
+
+\end{aligned}
+$$
+
+<!-- Reduction to first-order form and final state-space system -->
+Because standard state-space models are first order, we introduce the state vector:
+
+$$
+\mathbf{x} = \left[ y, z, \phi, \dot{y}, \dot{z}, \dot{\phi} \right]^T
+$$
+
+By including the velocities in the state, we can write the full first-order system as:
+
+$$
+\mathbf{\dot{x}} =
+
+\begin{bmatrix}
+    \dot{y} \\
+    \dot{z} \\
+    \dot{\phi} \\
+    \ddot{y} \\
+    \ddot{z} \\
+    \ddot{\phi}
+\end{bmatrix} =
+
+f(\mathbf{x}, \mathbf{u}) =
+
+\begin{bmatrix}
+    \dot{y} \\
+    \dot{z} \\
+    \dot{\phi} \\
+    - \frac{u_1}{m} \sin \phi \\
+    \frac{u_1}{m} \cos \phi - g \\
+    \frac{u_2}{I} \ell
+\end{bmatrix}
+$$
+
+
+## Simulating the system in Python
+
+<!-- Python simulation -->
+We can now simulate this state-space model in Python.
+First, we define the physical parameters and the dynamics function:
+
+<!-- TODO: get better syntax highlighting -->
+```python
+import numpy as np
+from numpy.typing import NDArray
+
+m = 0.8  # [kg]
+g = 9.81  # [m/s^2]
+l = 0.5  # [m]
+I = 1e-3  # [kg*m^2]
+
+
+def dynamics(x: NDArray, u: NDArray) -> NDArray:
+    _y, _z, phi, y_dot, z_dot, phi_dot = x
+    return np.array(
+        [
+            y_dot,
+            z_dot,
+            phi_dot,
+            -u[0] / m * np.sin(phi),
+            u[0] / m * np.cos(phi) - g,
+            u[1] / I * l,
+        ]
+    )
+```
+
+With the dynamics defined, we solve the first-order ordinary differential equation with Euler's method to calculate the full trajectory.
+We initialize the state at zero, so the quadcopter starts at the origin with no velocity and no rotation.
+We choose a constant input $u_1 = F_1 + F_2 = mg + 0.01$ so the quadcopter produces slightly more thrust than its weight and slowly ascends.
+We set $u_2 = 0$ so there is no net torque and the vehicle does not rotate.
+
+```python
+t_start, t_stop, n_steps = 0.0, 15.0, 1_000
+t = np.linspace(start=t_start, stop=t_stop, num=n_steps)
+dt = t[1] - t[0]
+
+d_state = 6
+x = np.zeros(shape=(n_steps, d_state))
+
+d_input = 2
+u = np.zeros(shape=(n_steps, d_input))
+u[:, 0] = m * g + 0.01  # Enough thrust to beat gravity plus a bit more.
+
+for i in range(n_steps - 1):
+    x[i + 1] = x[i] + dynamics(x[i], u[i]) * dt
+```
+
+That is the complete simulation pipeline: derive the equations of motion, convert them to state-space form, and integrate them numerically in Python.
+
+## Running the simulation
+
+### Zero-torque case
+
+We confirm that our simulation performs as expected with the plot shown below.
+As expected, the $y$position and$\phi$angle stay constant, as well as their respective velocities$\dot{y}$and$\dot{\phi}$.
+In this constant-input, zero-torque case, the vertical acceleration is constant, so the $z$position grows quadratically and the$\dot{z}$ velocity grows linearly.
+
+<figure>
+    <img src="/assets/images/2d-quadcopter-simulation/matplotlib-plot-1.png"
+    style="max-width: 100%; display: block; margin: auto;"/>
+</figure>
+
+In addition to the static plots, I implemented a small visualizer that animates the quadcopter in the $yz$ plane using the simulated state trajectory.
+
+<div style="
+    display: flex;
+    flex-flow: row wrap;
+    justify-content: space-around;
+    text-align: center;
+    margin-bottom: 1.5rem;">
+  <div>
+    <p style="margin: auto;">Simulation visualizer</p>
+    <canvas id="canvas-sim-viz" style="display: block;"></canvas>
+  </div>
+</div>
+
+### Non-zero torque case
+
+Let's now apply a nonzero torque input $u_2$and also increase the total thrust$u_1$.
+Since this simple model does not include ground contact, we stop the simulation once the quadcopter crosses below $z = 0$, which we treat as ground level:
+
+```python
+d_input = 2
+u = np.zeros(shape=(n_steps, d_input))
+u[:, 0] = m * g + 0.5
+u[:, 1] = 5e-5
+
+eps = 1e-8
+for i in range(n_steps - 1):
+    if x[i, 1] < -eps:  # Quadcopter crashes, stop the simulation.
+        t = t[:i]
+        x = x[:i, :]
+        u = u[:i, :]
+        break
+    x[i + 1] = x[i] + dynamics(x[i], u[i]) * dt
+```
+
+And running the simulation gives us the plot below.
+The angle slowly increases from 0 to approximately 3 radians, so the quadcopter rotates until it is nearly upside down.
+It gains height initially, but as $\phi$ increases, the vertical acceleration
+$\ddot{z} = \frac{u_1}{m}\cos\phi - g$ decreases because the vertical component of thrust shrinks.
+Once $\frac{u_1}{m}\cos\phi < g$, gravity dominates and the quadcopter starts falling.
+
+<figure>
+    <img src="/assets/images/2d-quadcopter-simulation/matplotlib-plot-2.png"
+    style="max-width: 100%; display: block; margin: auto;"/>
+</figure>
+
+<div style="
+    display: flex;
+    flex-flow: row wrap;
+    justify-content: space-around;
+    text-align: center;
+    margin-bottom: 1.5rem;">
+  <div>
+    <p style="margin: auto;">Simulation visualizer</p>
+    <canvas id="canvas-sim-viz-2" style="display: block;"></canvas>
+  </div>
+</div>
+
+<script src="/assets/js/2d-quadcopter-simulation/sim-viz.js"></script>
+
+> Note about LLM usage: This post was written fully by a human and proofread and minimally edited by gpt-5.4 default (via codex).
+
+<details>
+<summary>
+Appendix: plotting code
+</summary>
+
+```python
+import matplotlib.pyplot as plt  # noqa: E402
+from matplotlib.ticker import MultipleLocator  # noqa: E402
+
+fig, axes = plt.subplots(nrows=3, sharex=True, figsize=(9, 7))
+
+ax0, ax0r = axes[0], axes[0].twinx()
+ax0.plot(t, x[:, 0], label="y", color="C0")
+ax0.plot(t, x[:, 1], label="z", color="C1")
+ax0r.plot(t, x[:, 2], label="$\\phi$", color="C2")
+ax0.set_ylabel("Position [m]")
+ax0r.set_ylabel("Angle [rad]")
+ax0.set_title("Position states")
+lines0 = ax0.get_lines() + ax0r.get_lines()
+ax0.legend(handles=lines0, labels=[line.get_label() for line in lines0])
+
+ax1, ax1r = axes[1], axes[1].twinx()
+ax1.plot(t, x[:, 3], label="$\\dot{y}$", color="C0")
+ax1.plot(t, x[:, 4], label="$\\dot{z}$", color="C1")
+ax1r.plot(t, x[:, 5], label="$\\dot{\\phi}$", color="C2")
+ax1.set_ylabel("Linear velocity [m/s]")
+ax1r.set_ylabel("Angular velocity [rad/s]")
+ax1.set_title("Velocity states")
+lines1 = ax1.get_lines() + ax1r.get_lines()
+ax1.legend(handles=lines1, labels=[line.get_label() for line in lines1])
+
+axes[2].plot(t, u[:, 0], label="$u_1$")
+axes[2].plot(t, u[:, 1], label="$u_2$")
+axes[2].set_title("Inputs")
+axes[2].set_ylabel("Input [N]")
+axes[2].legend()
+
+for ax in axes:
+    ax.xaxis.set_major_locator(MultipleLocator(1))
+    ax.set_xlabel("time [s]")
+    ax.grid(visible=True)
+
+fig.suptitle("2D Quadcopter Simulation")
+fig.tight_layout()
+plt.show()
+```
+
+</details>
diff --git a/src/env.d.ts b/src/env.d.ts
new file mode 100644
index 0000000..9bc5cb4
--- /dev/null
+++ b/src/env.d.ts
@@ -0,0 +1 @@
+/// <reference path="../.astro/types.d.ts" />
\ No newline at end of file
diff --git a/src/layouts/BaseLayout.astro b/src/layouts/BaseLayout.astro
new file mode 100644
index 0000000..fe210af
--- /dev/null
+++ b/src/layouts/BaseLayout.astro
@@ -0,0 +1,41 @@
+---
+import '../styles/global.css';
+
+interface Props {
+  title: string;
+  description?: string;
+}
+
+const { title, description = "Andrea Cognolato's blog and personal website." } = Astro.props;
+---
+
+<!DOCTYPE html>
+<html lang="en">
+<head>
+  <meta charset="UTF-8" />
+  <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+  <meta http-equiv="X-UA-Compatible" content="ie=edge" />
+  <title>{title}</title>
+  <meta name="theme-color" content="#322F7C" />
+  <link rel="manifest" href="/manifest.json" />
+  <meta name="Description" content={description} />
+  <link rel="icon" type="image/x-icon" href="/favicon.ico" />
+  <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png" />
+  <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png" />
+  <link rel="apple-touch-icon" href="/apple-touch-icon.png" />
+
+  <!-- Google Analytics GA4 -->
+  <script async src="https://www.googletagmanager.com/gtag/js?id=G-FBTQYT7Z06"></script>
+  <script>
+    window.dataLayer = window.dataLayer || [];
+    function gtag() { dataLayer.push(arguments); }
+    gtag('js', new Date());
+    gtag('config', 'G-FBTQYT7Z06');
+  </script>
+
+  <slot name="head" />
+</head>
+<body class="bg-white dark:bg-gray-900 text-gray-900 dark:text-white">
+  <slot />
+</body>
+</html>
diff --git a/src/layouts/PostLayout.astro b/src/layouts/PostLayout.astro
new file mode 100644
index 0000000..d389715
--- /dev/null
+++ b/src/layouts/PostLayout.astro
@@ -0,0 +1,37 @@
+---
+import BaseLayout from './BaseLayout.astro';
+
+interface Props {
+  title: string;
+  date: Date;
+}
+
+const { title, date } = Astro.props;
+
+const formattedDate = date.toLocaleDateString('en-US', {
+  year: 'numeric',
+  month: 'long',
+  day: 'numeric',
+});
+---
+
+<BaseLayout title={title}>
+  <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.0/dist/katex.min.css" integrity="sha384-Xi8rHCmBmhbuyyhbI88391ZKP2dmfnOl4rT9ZfRI7mLTdk1wblIUnrIq35nqwEvC" crossorigin="anonymous" slot="head" />
+
+  <div class="container mx-auto max-w-screen-md px-4">
+    <header class="py-4 mb-6 border-b border-gray-200 dark:border-gray-700">
+      <nav class="flex gap-6 text-[1.125rem]">
+        <a class="text-blue-500 hover:underline" href="/blog">Blog</a>
+        <a class="text-blue-500 hover:underline" href="/">Homepage</a>
+      </nav>
+    </header>
+
+    <article class="prose prose-lg dark:prose-invert max-w-none font-serif">
+      <h1 class="font-serif">{title}</h1>
+      <time class="text-gray-500 dark:text-gray-400 text-sm not-prose" datetime={date.toISOString()}>
+        {formattedDate}
+      </time>
+      <slot />
+    </article>
+  </div>
+</BaseLayout>
diff --git a/src/pages/404.astro b/src/pages/404.astro
new file mode 100644
index 0000000..6558d89
--- /dev/null
+++ b/src/pages/404.astro
@@ -0,0 +1,12 @@
+---
+import BaseLayout from '../layouts/BaseLayout.astro';
+---
+
+<BaseLayout title="404 — Page Not Found">
+  <div class="container mx-auto max-w-screen-md px-4 py-16 text-center">
+    <h1 class="text-6xl font-bold mb-4">404</h1>
+    <p class="text-xl font-bold mb-2">Page not found :(</p>
+    <p>The requested page could not be found.</p>
+    <a href="/" class="text-blue-500 hover:underline mt-4 inline-block">Go home</a>
+  </div>
+</BaseLayout>
diff --git a/src/pages/[...slug].astro b/src/pages/[...slug].astro
new file mode 100644
index 0000000..e158e5c
--- /dev/null
+++ b/src/pages/[...slug].astro
@@ -0,0 +1,27 @@
+---
+import type { GetStaticPaths } from 'astro';
+import { getCollection } from 'astro:content';
+import PostLayout from '../layouts/PostLayout.astro';
+
+export const getStaticPaths = (async () => {
+  const posts = await getCollection('posts');
+  return posts.map((post) => {
+    const [year, month, day, ...rest] = post.slug.split('-');
+    const slug = rest.join('-');
+    return {
+      params: { slug: `${year}/${month}/${day}/${slug}` },
+      props: { post },
+    };
+  });
+}) satisfies GetStaticPaths;
+
+const { post } = Astro.props;
+const { Content } = await post.render();
+
+const [year, month, day] = post.slug.split('-');
+const date = new Date(`${year}-${month}-${day}`);
+---
+
+<PostLayout title={post.data.title} date={date}>
+  <Content />
+</PostLayout>
diff --git a/src/pages/blog.astro b/src/pages/blog.astro
new file mode 100644
index 0000000..f015d04
--- /dev/null
+++ b/src/pages/blog.astro
@@ -0,0 +1,54 @@
+---
+import BaseLayout from '../layouts/BaseLayout.astro';
+import { getCollection } from 'astro:content';
+
+const allPosts = await getCollection('posts', ({ data }) => !data.draft);
+
+function parsePostDate(slug: string): Date {
+  const [year, month, day] = slug.split('-');
+  return new Date(`${year}-${month}-${day}`);
+}
+
+function postUrl(slug: string): string {
+  const [year, month, day, ...rest] = slug.split('-');
+  return `/${year}/${month}/${day}/${rest.join('-')}.html`;
+}
+
+const sortedPosts = allPosts.sort(
+  (a, b) => parsePostDate(b.slug).getTime() - parsePostDate(a.slug).getTime()
+);
+---
+
+<BaseLayout title="Blog — Andrea Cognolato">
+  <div class="container mx-auto max-w-screen-md px-4">
+    <header class="py-4 mb-6 border-b border-gray-200 dark:border-gray-700">
+      <nav class="flex gap-6 text-[1.125rem]">
+        <a class="text-blue-500 hover:underline" href="/blog">Blog</a>
+        <a class="text-blue-500 hover:underline" href="/">Homepage</a>
+      </nav>
+    </header>
+
+    <div class="prose prose-lg dark:prose-invert max-w-none">
+      <h1 class="font-serif">Blog</h1>
+      <ul>
+        {sortedPosts.map((post) => {
+          const date = parsePostDate(post.slug);
+          const formattedDate = date.toLocaleDateString('en-US', {
+            year: 'numeric',
+            month: 'long',
+            day: 'numeric',
+          });
+          return (
+            <li>
+              <time class="text-gray-500 dark:text-gray-400 text-sm not-prose" datetime={date.toISOString()}>
+                {formattedDate}
+              </time>
+              <br />
+              <a href={postUrl(post.slug)} class="text-blue-500 no-underline hover:underline">{post.data.title}</a>
+            </li>
+          );
+        })}
+      </ul>
+    </div>
+  </div>
+</BaseLayout>
diff --git a/src/pages/feed.xml.js b/src/pages/feed.xml.js
new file mode 100644
index 0000000..ea6f174
--- /dev/null
+++ b/src/pages/feed.xml.js
@@ -0,0 +1,27 @@
+import rss from '@astrojs/rss';
+import { getCollection } from 'astro:content';
+
+export async function GET(context) {
+  const posts = await getCollection('posts', ({ data }) => !data.draft);
+
+  const sortedPosts = posts.sort((a, b) => {
+    const [ay, am, ad] = a.slug.split('-');
+    const [by, bm, bd] = b.slug.split('-');
+    return new Date(`${by}-${bm}-${bd}`).getTime() - new Date(`${ay}-${am}-${ad}`).getTime();
+  }).reverse();
+
+  return rss({
+    title: "Andrea Cognolato's Blog",
+    description: 'my blog',
+    site: context.site,
+    items: sortedPosts.map((post) => {
+      const [year, month, day, ...rest] = post.slug.split('-');
+      const slug = rest.join('-');
+      return {
+        title: post.data.title,
+        pubDate: new Date(`${year}-${month}-${day}`),
+        link: `/${year}/${month}/${day}/${slug}.html`,
+      };
+    }),
+  });
+}
diff --git a/index.html b/src/pages/index.astro
similarity index 96%
rename from index.html
rename to src/pages/index.astro
index 0dfbae1..4d5519d 100644
--- a/index.html
+++ b/src/pages/index.astro
@@ -1,41 +1,18 @@
-<!DOCTYPE html>
-<html lang="en">
+---
+import BaseLayout from '../layouts/BaseLayout.astro';
+---
 
-<head>
-    <meta charset="UTF-8" />
-    <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-    <meta http-equiv="X-UA-Compatible" content="ie=edge" />
-    <title>Andrea Cognolato</title>
-    <meta name="theme-color" content="#322F7C" />
-    <link rel="manifest" href="/manifest.json" />
-
-    <meta name="Description"
-        content="Andrea Cognolato's personal website and portfolio, contains his personal projects, resume and contact information." />
-    <link rel="stylesheet" href="index-style.out.css" />
-
-    <!-- Global site tag (gtag.js) - Google Analytics -->
-    <!-- <script async src="https://www.googletagmanager.com/gtag/js?id=G-FBTQYT7Z06"></script>
-    <script>
-        window.dataLayer = window.dataLayer || [];
-        function gtag() {
-            dataLayer.push(arguments);
-        }
-        gtag("js", new Date());
-
-        gtag("config", "G-FBTQYT7Z06");
-    </script> -->
-</head>
-
-<body class="
+<BaseLayout
+  title="Andrea Cognolato"
+  description="Andrea Cognolato's personal website and portfolio, contains his personal projects, resume and contact information."
+>
+<div class="
             container
             mx-auto
             max-w-screen-lg
             px-4
             font-sans
             text-base
-            bg-white
-            text-gray-900
-            dark:bg-gray-900 dark:text-white
         ">
     <header>
         <h1 class="text-4xl font-bold text-center my-4 leading-[3.5rem]">
@@ -84,7 +61,7 @@ <h1 class="text-4xl font-bold text-center my-4 leading-[3.5rem]">
                     </a>
                 </li>
                 <li class="inline">
-                    <a class="no-underline hover:underline text-blue-500" href="blog">
+                    <a class="no-underline hover:underline text-blue-500" href="/blog">
                         <svg class="w-4 h-4 inline fill-blue-500">
                             >
                             <path
@@ -659,7 +636,7 @@ <h3 class="text-xl font-bold mb-1">2016</h3>
                         <p>
                             Competed at regional level in flatwater
                             <a href="https://www.youtube.com/watch?v=8U0U-GijrOU"
-                                onclick="alert('You probably don't wanna see this, I wonder if you will be my next employer.')">kayaking</a>.
+                                onclick="alert('You probably don&apos;t wanna see this, I wonder if you will be my next employer.')">kayaking</a>.
                         </p>
                     </li>
                     <li>
@@ -722,6 +699,65 @@ <h3 class="text-xl font-bold mb-1">2015</h3>
             </section>
         </section>
     </main>
-</body>
+</div>
+</BaseLayout>
+
+<style>
+main > section {
+    @apply mb-7;
+}
+
+main ul li {
+    @apply mb-5;
+}
+
+#projects ul > li:not(.cf) {
+    @apply flex;
+}
+
+#projects ul > li:not(.cf)::before {
+    content: "•";
+    @apply text-gray-400/60 mr-2 shrink-0;
+}
+
+main ul ul li {
+    @apply mb-1;
+}
+
+#projects > section > h3 {
+    @apply border-t border-gray-300 dark:border-gray-700 pt-2 mt-4;
+}
+
+#projects > section:first-of-type > h3 {
+    @apply border-t-0 mt-0;
+}
+
+main ul a {
+    @apply no-underline hover:underline text-blue-500;
+}
+
+p {
+    @apply font-serif mb-2;
+}
+
+p:last-child {
+    @apply mb-0;
+}
+
+main ul img {
+    @apply shadow-md;
+}
+
+.cf:before,
+.cf:after {
+    content: " ";
+    display: table;
+}
+
+.cf:after {
+    clear: both;
+}
 
-</html>
+.cf {
+}
+</style>
diff --git a/src/styles/global.css b/src/styles/global.css
new file mode 100644
index 0000000..5cfeee0
--- /dev/null
+++ b/src/styles/global.css
@@ -0,0 +1,27 @@
+@tailwind base;
+@tailwind components;
+@tailwind utilities;
+
+@font-face {
+  font-family: "Source Serif Pro";
+  src: url('/Source_Serif_Pro/SourceSerif4-Regular.ttf') format('truetype');
+}
+
+/* Shiki dual-theme: light by default, dark via media query */
+.astro-code,
+.astro-code span {
+  color: var(--shiki-light) !important;
+  background-color: var(--shiki-light-bg) !important;
+  font-style: var(--shiki-light-font-style) !important;
+  font-weight: var(--shiki-light-font-weight) !important;
+}
+
+@media (prefers-color-scheme: dark) {
+  .astro-code,
+  .astro-code span {
+    color: var(--shiki-dark) !important;
+    background-color: var(--shiki-dark-bg) !important;
+    font-style: var(--shiki-dark-font-style) !important;
+    font-weight: var(--shiki-dark-font-weight) !important;
+  }
+}
diff --git a/tailwind.config.js b/tailwind.config.mjs
similarity index 78%
rename from tailwind.config.js
rename to tailwind.config.mjs
index f340f93..c6f42a1 100644
--- a/tailwind.config.js
+++ b/tailwind.config.mjs
@@ -1,9 +1,10 @@
+import typography from '@tailwindcss/typography';
+
 const scalingfactor = 1.2;
-module.exports = {
-  content: [
-    "index.html",
-    "index-style.css"
-  ],
+
+export default {
+  content: ['./src/**/*.{astro,html,md,mdx}'],
+  darkMode: 'media',
   theme: {
     extend: {},
     fontSize: {
@@ -21,5 +22,5 @@ module.exports = {
       'serif': "'Source Serif Pro', serif"
     }
   },
-  plugins: [],
+  plugins: [typography],
 }
diff --git a/tsconfig.json b/tsconfig.json
new file mode 100644
index 0000000..bcbf8b5
--- /dev/null
+++ b/tsconfig.json
@@ -0,0 +1,3 @@
+{
+  "extends": "astro/tsconfigs/strict"
+}