.

app.py

@@ -12,6 +12,8 @@ import diffusers
 from diffusers import DDPMPipeline
 from transformers import AutoTokenizer, AutoModel
 
+from utils import normalize_formula
+
 tz = timezone('EST')
 
 API_ENDPOINT = os.getenv('API_ENDPOINT')
@@ -83,8 +85,13 @@ with gr.Blocks() as demo:
         current_time = datetime.now(tz)
         print (current_time, formula)
         data = {'formula': formula, 'api_key': API_KEY}
-        latex = formula # TODO: normalize
-        encoder_hidden_states = forward_encoder(latex)
+        try:
+            formula_normalized = normalize_formula(formula)
+        except Exception as e:
+            print (e)
+            formula_normalized = formula
+        print ('normalized', formula_normalized)
+        encoder_hidden_states = forward_encoder(formula_normalized)
 
         try:
             i = 0

katex/LICENSE.txt

@@ -0,0 +1,27 @@
+The MIT License (MIT)
+
+Copyright (c) 2015 Khan Academy
+
+This software also uses portions of the underscore.js project, which is
+MIT licensed with the following copyright:
+
+Copyright (c) 2009-2015 Jeremy Ashkenas, DocumentCloud and Investigative
+Reporters & Editors
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.

katex/README.md

@@ -0,0 +1,68 @@
+# [<img src="https://khan.github.io/KaTeX/katex-logo.svg" width="130" alt="KaTeX">](https://khan.github.io/KaTeX/) [![Build Status](https://travis-ci.org/Khan/KaTeX.svg?branch=master)](https://travis-ci.org/Khan/KaTeX)
+
+[![Join the chat at https://gitter.im/Khan/KaTeX](https://badges.gitter.im/Join%20Chat.svg)](https://gitter.im/Khan/KaTeX?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge)
+
+KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web.
+
+ * **Fast:** KaTeX renders its math synchronously and doesn't need to reflow the page. See how it compares to a competitor in [this speed test](http://jsperf.com/katex-vs-mathjax/).
+ * **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 supports all major browsers, including Chrome, Safari, Firefox, Opera, and IE 8 - IE 11.  A list of supported  commands can be on the [wiki](https://github.com/Khan/KaTeX/wiki/Function-Support-in-KaTeX).
+
+## Usage
+
+You can [download KaTeX](https://github.com/khan/katex/releases) and host it on your server or include the `katex.min.js` and `katex.min.css` files on your page directly from a CDN:
+
+```html
+<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.5.1/katex.min.css">
+<script src="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.5.1/katex.min.js"></script>
+```
+
+#### In-browser rendering
+
+Call `katex.render` with a TeX expression and a DOM element to render into:
+
+```js
+katex.render("c = \\pm\\sqrt{a^2 + b^2}", element);
+```
+
+If KaTeX can't parse the expression, it throws a `katex.ParseError` error.
+
+#### Server side rendering or rendering to a string
+
+To generate HTML on the server or to generate an HTML string of the rendered math, you can use `katex.renderToString`:
+
+```js
+var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}");
+// '<span class="katex">...</span>'
+```
+
+Make sure to include the CSS and font files, but there is no need to include the JavaScript. Like `render`, `renderToString` throws if it can't parse the expression.
+
+#### Rendering options
+
+You can provide an object of options as the last argument to `katex.render` and `katex.renderToString`. Available options are:
+
+- `displayMode`: `boolean`. If `true` the math will be rendered in display mode, which will put the math in display style (so `\int` and `\sum` are large, for example), and will center the math on the page on its own line. If `false` the math will be rendered in inline mode. (default: `false`)
+- `throwOnError`: `boolean`. If `true`, KaTeX will throw a `ParseError` when it encounters an unsupported command. If `false`, KaTeX will render the unsupported command as text in the color given by `errorColor`. (default: `true`)
+- `errorColor`: `string`. A color string given in the format `"#XXX"` or `"#XXXXXX"`. This option determines the color which unsupported commands are rendered in. (default: `#cc0000`)
+
+For example:
+
+```js
+katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, { displayMode: true });
+```
+
+#### Automatic rendering of math on a page
+
+Math on the page can be automatically rendered using the auto-render extension. See [the Auto-render README](contrib/auto-render/README.md) for more information.
+
+## Contributing
+
+See [CONTRIBUTING.md](CONTRIBUTING.md)
+
+## License
+
+KaTeX is licensed under the [MIT License](http://opensource.org/licenses/MIT).

katex/cli.js

@@ -0,0 +1,32 @@
+#!/usr/bin/env node
+// Simple CLI for KaTeX.
+// Reads TeX from stdin, outputs HTML to stdout.
+/* eslint no-console:0 */
+
+var katex = require("./");
+var input = "";
+
+// Skip the first two args, which are just "node" and "cli.js"
+var args = process.argv.slice(2);
+
+if (args.indexOf("--help") !== -1) {
+    console.log(process.argv[0] + " " + process.argv[1] +
+                " [ --help ]" +
+                " [ --display-mode ]");
+
+    console.log("\n" +
+                "Options:");
+    console.log("  --help            Display this help message");
+    console.log("  --display-mode    Render in display mode (not inline mode)");
+    process.exit();
+}
+
+process.stdin.on("data", function(chunk) {
+    input += chunk.toString();
+});
+
+process.stdin.on("end", function() {
+    var options = { displayMode: args.indexOf("--display-mode") !== -1 };
+    var output = katex.renderToString(input, options);
+    console.log(output);
+});

katex/katex.js

@@ -0,0 +1,74 @@
+/* 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.
+ */
+
+var ParseError = require("./src/ParseError");
+var Settings = require("./src/Settings");
+
+var buildTree = require("./src/buildTree");
+var parseTree = require("./src/parseTree");
+var utils = require("./src/utils");
+
+/**
+ * Parse and build an expression, and place that expression in the DOM node
+ * given.
+ */
+var render = function(expression, baseNode, options) {
+    utils.clearNode(baseNode);
+
+    var settings = new Settings(options);
+
+    var tree = parseTree(expression, settings);
+    var node = buildTree(tree, expression, settings).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() {
+            throw new ParseError("KaTeX doesn't work in quirks mode.");
+        };
+    }
+}
+
+/**
+ * Parse and build an expression, and return the markup for that.
+ */
+var renderToString = function(expression, options) {
+    var settings = new Settings(options);
+
+    var tree = parseTree(expression, settings);
+    return buildTree(tree, expression, settings).toMarkup();
+};
+
+/**
+ * Parse an expression and return the parse tree.
+ */
+var generateParseTree = function(expression, options) {
+    var settings = new Settings(options);
+    return parseTree(expression, settings);
+};
+
+module.exports = {
+    render: render,
+    renderToString: renderToString,
+    /**
+     * 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,
+    ParseError: ParseError,
+};

katex/package.json

@@ -0,0 +1,108 @@
+{
+  "_args": [
+    [
+      "katex",
+      "/home/srush/Projects/im2latex"
+    ]
+  ],
+  "_from": "katex@latest",
+  "_id": "katex@0.6.0",
+  "_inCache": true,
+  "_installable": true,
+  "_location": "/katex",
+  "_nodeVersion": "4.2.1",
+  "_npmOperationalInternal": {
+    "host": "packages-12-west.internal.npmjs.com",
+    "tmp": "tmp/katex-0.6.0.tgz_1460769444991_0.38667152682319283"
+  },
+  "_npmUser": {
+    "email": "kevinb7@gmail.com",
+    "name": "kevinbarabash"
+  },
+  "_npmVersion": "2.15.2",
+  "_phantomChildren": {},
+  "_requested": {
+    "name": "katex",
+    "raw": "katex",
+    "rawSpec": "",
+    "scope": null,
+    "spec": "latest",
+    "type": "tag"
+  },
+  "_requiredBy": [
+    "#USER"
+  ],
+  "_resolved": "https://registry.npmjs.org/katex/-/katex-0.6.0.tgz",
+  "_shasum": "12418e09121c05c92041b6b3b9fb6bab213cb6f3",
+  "_shrinkwrap": null,
+  "_spec": "katex",
+  "_where": "/home/srush/Projects/im2latex",
+  "bin": {
+    "katex": "cli.js"
+  },
+  "bugs": {
+    "url": "https://github.com/Khan/KaTeX/issues"
+  },
+  "dependencies": {
+    "match-at": "^0.1.0"
+  },
+  "description": "Fast math typesetting for the web.",
+  "devDependencies": {
+    "browserify": "^10.2.4",
+    "clean-css": "~2.2.15",
+    "eslint": "^1.10.2",
+    "express": "~3.3.3",
+    "glob": "^5.0.15",
+    "jasmine": "^2.3.2",
+    "jasmine-core": "^2.3.4",
+    "js-yaml": "^3.3.1",
+    "jspngopt": "^0.1.0",
+    "less": "~1.7.5",
+    "nomnom": "^1.8.1",
+    "pako": "0.2.7",
+    "selenium-webdriver": "^2.46.1",
+    "uglify-js": "~2.4.15"
+  },
+  "directories": {},
+  "dist": {
+    "shasum": "12418e09121c05c92041b6b3b9fb6bab213cb6f3",
+    "tarball": "https://registry.npmjs.org/katex/-/katex-0.6.0.tgz"
+  },
+  "files": [
+    "cli.js",
+    "dist/",
+    "katex.js",
+    "src/"
+  ],
+  "gitHead": "b94fc6534d5c23f944906a52a592bee4e0090665",
+  "homepage": "https://github.com/Khan/KaTeX#readme",
+  "license": "MIT",
+  "main": "katex.js",
+  "maintainers": [
+    {
+      "name": "kevinbarabash",
+      "email": "kevinb7@gmail.com"
+    },
+    {
+      "name": "spicyj",
+      "email": "ben@benalpert.com"
+    },
+    {
+      "name": "xymostech",
+      "email": "xymostech@gmail.com"
+    }
+  ],
+  "name": "katex",
+  "optionalDependencies": {},
+  "readme": "ERROR: No README data found!",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/Khan/KaTeX.git"
+  },
+  "scripts": {
+    "prepublish": "make dist",
+    "start": "node server.js",
+    "test": "make lint test"
+  },
+  "version": "0.6.0"
+}

katex/src/Lexer.js

@@ -0,0 +1,162 @@
+/**
+ * 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.
+ */
+
+var matchAt = require("../../match-at");
+
+var ParseError = require("./ParseError");
+
+// The main lexer class
+function Lexer(input) {
+    this._input = input;
+}
+
+// The resulting token returned from `lex`.
+function Token(text, data, position) {
+    this.text = text;
+    this.data = data;
+    this.position = position;
+}
+
+/* The following tokenRegex
+ * - matches typical whitespace (but not NBSP etc.) using its first group
+ * - matches symbol combinations which result in a single output character
+ * - does not match any control character \x00-\x1f except whitespace
+ * - does not match a bare backslash
+ * - matches any ASCII character except those just mentioned
+ * - does not match the BMP private use area \uE000-\uF8FF
+ * - does not match bare surrogate code units
+ * - matches any BMP character except for those just described
+ * - matches any valid Unicode surrogate pair
+ * - matches a backslash followed by one or more letters
+ * - matches a backslash followed by any BMP character, including newline
+ * Just because the Lexer matches something doesn't mean it's valid input:
+ * If there is no matching function or symbol definition, the Parser will
+ * still reject the input.
+ */
+var tokenRegex = new RegExp(
+    "([ \r\n\t]+)|(" +                                // whitespace
+    "---?" +                                          // special combinations
+    "|[!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" +  // single codepoint
+    "|[\uD800-\uDBFF][\uDC00-\uDFFF]" +               // surrogate pair
+    "|\\\\(?:[a-zA-Z]+|[^\uD800-\uDFFF])" +           // function name
+    ")"
+);
+
+var whitespaceRegex = /\s*/;
+
+/**
+ * This function lexes a single normal token. It takes a position and
+ * whether it should completely ignore whitespace or not.
+ */
+Lexer.prototype._innerLex = function(pos, ignoreWhitespace) {
+    var input = this._input;
+    if (pos === input.length) {
+        return new Token("EOF", null, pos);
+    }
+    var match = matchAt(tokenRegex, input, pos);
+    if (match === null) {
+        throw new ParseError(
+            "Unexpected character: '" + input[pos] + "'",
+            this, pos);
+    } else if (match[2]) { // matched non-whitespace
+        return new Token(match[2], null, pos + match[2].length);
+    } else if (ignoreWhitespace) {
+        return this._innerLex(pos + match[1].length, true);
+    } else { // concatenate whitespace to a single space
+        return new Token(" ", null, pos + match[1].length);
+    }
+};
+
+// A regex to match a CSS color (like #ffffff or BlueViolet)
+var cssColor = /#[a-z0-9]+|[a-z]+/i;
+
+/**
+ * This function lexes a CSS color.
+ */
+Lexer.prototype._innerLexColor = function(pos) {
+    var input = this._input;
+
+    // Ignore whitespace
+    var whitespace = matchAt(whitespaceRegex, input, pos)[0];
+    pos += whitespace.length;
+
+    var match;
+    if ((match = matchAt(cssColor, input, pos))) {
+        // If we look like a color, return a color
+        return new Token(match[0], null, pos + match[0].length);
+    } else {
+        throw new ParseError("Invalid color", this, pos);
+    }
+};
+
+// A regex to match a dimension. Dimensions look like
+// "1.2em" or ".4pt" or "1 ex"
+var sizeRegex = /(-?)\s*(\d+(?:\.\d*)?|\.\d+)\s*([a-z]{2})/;
+
+/**
+ * This function lexes a dimension.
+ */
+Lexer.prototype._innerLexSize = function(pos) {
+    var input = this._input;
+
+    // Ignore whitespace
+    var whitespace = matchAt(whitespaceRegex, input, pos)[0];
+    pos += whitespace.length;
+
+    var match;
+    if ((match = matchAt(sizeRegex, input, pos))) {
+        var unit = match[3];
+        // We only currently handle "em" and "ex" units
+        // if (unit !== "em" && unit !== "ex") {
+        //     throw new ParseError("Invalid unit: '" + unit + "'", this, pos);
+        // }
+        return new Token(match[0], {
+            number: +(match[1] + match[2]),
+            unit: unit,
+        }, pos + match[0].length);
+    }
+
+    throw new ParseError("Invalid size", this, pos);
+};
+
+/**
+ * This function lexes a string of whitespace.
+ */
+Lexer.prototype._innerLexWhitespace = function(pos) {
+    var input = this._input;
+
+    var whitespace = matchAt(whitespaceRegex, input, pos)[0];
+    pos += whitespace.length;
+
+    return new Token(whitespace[0], null, pos);
+};
+
+/**
+ * This function lexes a single token starting at `pos` and of the given mode.
+ * Based on the mode, we defer to one of the `_innerLex` functions.
+ */
+Lexer.prototype.lex = function(pos, mode) {
+    if (mode === "math") {
+        return this._innerLex(pos, true);
+    } else if (mode === "text") {
+        return this._innerLex(pos, false);
+    } else if (mode === "color") {
+        return this._innerLexColor(pos);
+    } else if (mode === "size") {
+        return this._innerLexSize(pos);
+    } else if (mode === "whitespace") {
+        return this._innerLexWhitespace(pos);
+    }
+};
+
+module.exports = Lexer;

katex/src/Options.js

@@ -0,0 +1,189 @@
+/**
+ * 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.
+ */
+
+/**
+ * This is the main options class. It contains the style, size, color, and font
+ * of the current parse level. It also contains the style and size of the parent
+ * parse level, so size changes can be handled efficiently.
+ *
+ * Each of the `.with*` and `.reset` functions passes its current style and size
+ * as the parentStyle and parentSize of the new options class, so parent
+ * handling is taken care of automatically.
+ */
+function Options(data) {
+    this.style = data.style;
+    this.color = data.color;
+    this.size = data.size;
+    this.phantom = data.phantom;
+    this.font = data.font;
+
+    if (data.parentStyle === undefined) {
+        this.parentStyle = data.style;
+    } else {
+        this.parentStyle = data.parentStyle;
+    }
+
+    if (data.parentSize === undefined) {
+        this.parentSize = data.size;
+    } else {
+        this.parentSize = data.parentSize;
+    }
+}
+
+/**
+ * Returns a new options object with the same properties as "this".  Properties
+ * from "extension" will be copied to the new options object.
+ */
+Options.prototype.extend = function(extension) {
+    var data = {
+        style: this.style,
+        size: this.size,
+        color: this.color,
+        parentStyle: this.style,
+        parentSize: this.size,
+        phantom: this.phantom,
+        font: this.font,
+    };
+
+    for (var key in extension) {
+        if (extension.hasOwnProperty(key)) {
+            data[key] = extension[key];
+        }
+    }
+
+    return new Options(data);
+};
+
+/**
+ * Create a new options object with the given style.
+ */
+Options.prototype.withStyle = function(style) {
+    return this.extend({
+        style: style,
+    });
+};
+
+/**
+ * Create a new options object with the given size.
+ */
+Options.prototype.withSize = function(size) {
+    return this.extend({
+        size: size,
+    });
+};
+
+/**
+ * Create a new options object with the given color.
+ */
+Options.prototype.withColor = function(color) {
+    return this.extend({
+        color: color,
+    });
+};
+
+/**
+ * Create a new options object with "phantom" set to true.
+ */
+Options.prototype.withPhantom = function() {
+    return this.extend({
+        phantom: true,
+    });
+};
+
+/**
+ * Create a new options objects with the give font.
+ */
+Options.prototype.withFont = function(font) {
+    return this.extend({
+        font: font,
+    });
+};
+
+/**
+ * Create a new options object with the same style, size, and color. This is
+ * used so that parent style and size changes are handled correctly.
+ */
+Options.prototype.reset = function() {
+    return this.extend({});
+};
+
+/**
+ * A map of color names to CSS colors.
+ * TODO(emily): Remove this when we have real macros
+ */
+var colorMap = {
+    "katex-blue": "#6495ed",
+    "katex-orange": "#ffa500",
+    "katex-pink": "#ff00af",
+    "katex-red": "#df0030",
+    "katex-green": "#28ae7b",
+    "katex-gray": "gray",
+    "katex-purple": "#9d38bd",
+    "katex-blueA": "#c7e9f1",
+    "katex-blueB": "#9cdceb",
+    "katex-blueC": "#58c4dd",
+    "katex-blueD": "#29abca",
+    "katex-blueE": "#1c758a",
+    "katex-tealA": "#acead7",
+    "katex-tealB": "#76ddc0",
+    "katex-tealC": "#5cd0b3",
+    "katex-tealD": "#55c1a7",
+    "katex-tealE": "#49a88f",
+    "katex-greenA": "#c9e2ae",
+    "katex-greenB": "#a6cf8c",
+    "katex-greenC": "#83c167",
+    "katex-greenD": "#77b05d",
+    "katex-greenE": "#699c52",
+    "katex-goldA": "#f7c797",
+    "katex-goldB": "#f9b775",
+    "katex-goldC": "#f0ac5f",
+    "katex-goldD": "#e1a158",
+    "katex-goldE": "#c78d46",
+    "katex-redA": "#f7a1a3",
+    "katex-redB": "#ff8080",
+    "katex-redC": "#fc6255",
+    "katex-redD": "#e65a4c",
+    "katex-redE": "#cf5044",
+    "katex-maroonA": "#ecabc1",
+    "katex-maroonB": "#ec92ab",
+    "katex-maroonC": "#c55f73",
+    "katex-maroonD": "#a24d61",
+    "katex-maroonE": "#94424f",
+    "katex-purpleA": "#caa3e8",
+    "katex-purpleB": "#b189c6",
+    "katex-purpleC": "#9a72ac",
+    "katex-purpleD": "#715582",
+    "katex-purpleE": "#644172",
+    "katex-mintA": "#f5f9e8",
+    "katex-mintB": "#edf2df",
+    "katex-mintC": "#e0e5cc",
+    "katex-grayA": "#fdfdfd",
+    "katex-grayB": "#f7f7f7",
+    "katex-grayC": "#eeeeee",
+    "katex-grayD": "#dddddd",
+    "katex-grayE": "#cccccc",
+    "katex-grayF": "#aaaaaa",
+    "katex-grayG": "#999999",
+    "katex-grayH": "#555555",
+    "katex-grayI": "#333333",
+    "katex-kaBlue": "#314453",
+    "katex-kaGreen": "#639b24",
+};
+
+/**
+ * Gets the CSS color of the current options object, accounting for the
+ * `colorMap`.
+ */
+Options.prototype.getColor = function() {
+    if (this.phantom) {
+        return "transparent";
+    } else {
+        return colorMap[this.color] || this.color;
+    }
+};
+
+module.exports = Options;

katex/src/ParseError.js

@@ -0,0 +1,40 @@
+/**
+ * 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.
+ */
+function ParseError(message, lexer, position) {
+    var error = "KaTeX parse error: " + message;
+
+    if (lexer !== undefined && position !== undefined) {
+        // If we have the input and a position, make the error a bit fancier
+
+        // Prepend some information
+        error += " at position " + position + ": ";
+
+        // Get the input
+        var input = lexer._input;
+        // Insert a combining underscore at the correct position
+        input = input.slice(0, position) + "\u0332" +
+            input.slice(position);
+
+        // Extract some context from the input and add it to the error
+        var begin = Math.max(0, position - 15);
+        var end = position + 15;
+        error += input.slice(begin, end);
+    }
+
+    // Some hackery to make ParseError a prototype of Error
+    // See http://stackoverflow.com/a/8460753
+    var self = new Error(error);
+    self.name = "ParseError";
+    self.__proto__ = ParseError.prototype;
+
+    self.position = position;
+    return self;
+}
+
+// More hackery
+ParseError.prototype.__proto__ = Error.prototype;
+
+module.exports = ParseError;

katex/src/Parser.js

@@ -0,0 +1,798 @@
+/* eslint no-constant-condition:0 */
+var functions = require("./functions");
+var environments = require("./environments");
+var Lexer = require("./Lexer");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var parseData = require("./parseData");
+var ParseError = require("./ParseError");
+
+global_str = ""
+
+/**
+ * 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.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 earlier functions return ParseNodes.
+ * The later functions (which are called deeper in the parse) sometimes return
+ * ParseFuncOrArgument, which contain a ParseNode as well as some data about
+ * whether the parsed object is a function which is missing some arguments, or a
+ * standalone object which can be used as an argument to another function.
+ */
+
+/**
+ * Main Parser class
+ */
+function Parser(input, settings) {
+    // Make a new lexer
+    this.lexer = new Lexer(input);
+    // Store the settings for use in parsing
+    this.settings = settings;
+}
+
+var ParseNode = parseData.ParseNode;
+
+/**
+ * An initial function (without its arguments), or an argument to a function.
+ * The `result` argument should be a ParseNode.
+ */
+function ParseFuncOrArgument(result, isFunction) {
+    this.result = result;
+    // Is this a function (i.e. is it something defined in functions.js)?
+    this.isFunction = isFunction;
+}
+
+/**
+ * Checks a result to make sure it has the right type, and throws an
+ * appropriate error otherwise.
+ *
+ * @param {boolean=} consume whether to consume the expected token,
+ *                           defaults to true
+ */
+Parser.prototype.expect = function(text, consume) {
+    if (this.nextToken.text !== text) {
+        throw new ParseError(
+            "Expected '" + text + "', got '" + this.nextToken.text + "'",
+            this.lexer, this.nextToken.position
+        );
+    }
+    if (consume !== false) {
+        this.consume();
+    }
+};
+
+/**
+ * Considers the current look ahead token as consumed,
+ * and fetches the one after that as the new look ahead.
+ */
+Parser.prototype.consume = function() {
+    this.pos = this.nextToken.position;
+
+    global_str =  global_str + " " + this.nextToken.text
+    this.nextToken = this.lexer.lex(this.pos, this.mode);
+};
+
+/**
+ * Main parsing function, which parses an entire input.
+ *
+ * @return {?Array.<ParseNode>}
+ */
+Parser.prototype.parse = function() {
+    // Try to parse the input
+    this.mode = "math";
+    this.pos = 0;
+    this.nextToken = this.lexer.lex(this.pos, this.mode);
+    var parse = this.parseInput();
+    return parse;
+};
+
+/**
+ * Parses an entire input tree.
+ */
+Parser.prototype.parseInput = function() {
+    // Parse an expression
+    var expression = this.parseExpression(false);
+    // If we succeeded, make sure there's an EOF at the end
+    this.expect("EOF", false);
+    return expression;
+};
+
+var endOfExpression = ["}", "\\end", "\\right", "&", "\\\\", "\\cr"];
+
+/**
+ * Parses an "expression", which is a list of atoms.
+ *
+ * @param {boolean} breakOnInfix Should the parsing stop when we hit infix
+ *                  nodes? This happens when functions have higher precendence
+ *                  than infix nodes in implicit parses.
+ *
+ * @param {?string} breakOnToken The token that the expression should end with,
+ *                  or `null` if something else should end the expression.
+ *
+ * @return {ParseNode}
+ */
+Parser.prototype.parseExpression = function(breakOnInfix, breakOnToken) {
+    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) {
+        var lex = this.nextToken;
+        var pos = this.pos;
+        if (endOfExpression.indexOf(lex.text) !== -1) {
+            break;
+        }
+        if (breakOnToken && lex.text === breakOnToken) {
+            break;
+        }
+        var atom = this.parseAtom();
+        if (!atom) {
+            if (!this.settings.throwOnError && lex.text[0] === "\\") {
+                var errorNode = this.handleUnsupportedCmd();
+                body.push(errorNode);
+
+                pos = lex.position;
+                continue;
+            }
+
+            break;
+        }
+        if (breakOnInfix && atom.type === "infix") {
+            // rewind so we can parse the infix atom again
+            this.pos = pos;
+            this.nextToken = lex;
+            break;
+        }
+        body.push(atom);
+    }
+    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 {}.
+ *
+ * @returns {Array}
+ */
+Parser.prototype.handleInfixNodes = function(body) {
+    var overIndex = -1;
+    var funcName;
+
+    for (var i = 0; i < body.length; i++) {
+        var node = body[i];
+        if (node.type === "infix") {
+            if (overIndex !== -1) {
+                throw new ParseError("only one infix operator per group",
+                    this.lexer, -1);
+            }
+            overIndex = i;
+            funcName = node.value.replaceWith;
+        }
+    }
+
+    if (overIndex !== -1) {
+        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 = new ParseNode("ordgroup", numerBody, this.mode);
+        }
+
+        if (denomBody.length === 1 && denomBody[0].type === "ordgroup") {
+            denomNode = denomBody[0];
+        } else {
+            denomNode = new ParseNode("ordgroup", denomBody, this.mode);
+        }
+
+        var value = this.callFunction(
+            funcName, [numerNode, denomNode], null);
+        return [new ParseNode(value.type, value, this.mode)];
+    } else {
+        return body;
+    }
+};
+
+// The greediness of a superscript or subscript
+var SUPSUB_GREEDINESS = 1;
+
+/**
+ * Handle a subscript or superscript with nice errors.
+ */
+Parser.prototype.handleSupSubscript = function(name) {
+    var symbol = this.nextToken.text;
+    var symPos = this.pos;
+    this.consume();
+    var group = this.parseGroup();
+
+    if (!group) {
+        if (!this.settings.throwOnError && this.nextToken.text[0] === "\\") {
+            return this.handleUnsupportedCmd();
+        } else {
+            // throw new ParseError(
+            //     "Expected group after '" + symbol + "'",
+            //     this.lexer,
+            //     symPos + 1
+            // );
+        }
+    } else if (group.isFunction) {
+        // ^ and _ have a greediness, so handle interactions with functions'
+        // greediness
+        var funcGreediness = functions[group.result].greediness;
+        if (funcGreediness > SUPSUB_GREEDINESS) {
+            return this.parseFunction(group);
+        } else {
+            throw new ParseError(
+                "Got function '" + group.result + "' with no arguments " +
+                    "as " + name,
+                this.lexer, symPos + 1);
+        }
+    } else {
+        return group.result;
+    }
+};
+
+/**
+ * Converts the textual input of an unsupported command into a text node
+ * contained within a color node whose color is determined by errorColor
+ */
+Parser.prototype.handleUnsupportedCmd = function() {
+    var text = this.nextToken.text;
+    var textordArray = [];
+
+    for (var i = 0; i < text.length; i++) {
+        textordArray.push(new ParseNode("textord", text[i], "text"));
+    }
+
+    var textNode = new ParseNode(
+        "text",
+        {
+            body: textordArray,
+            type: "text",
+        },
+        this.mode);
+
+    var colorNode = new ParseNode(
+        "color",
+        {
+            color: this.settings.errorColor,
+            value: [textNode],
+            type: "color",
+        },
+        this.mode);
+
+    this.consume();
+    return colorNode;
+};
+
+/**
+ * Parses a group with optional super/subscripts.
+ *
+ * @return {?ParseNode}
+ */
+Parser.prototype.parseAtom = function() {
+    // The body of an atom is an implicit group, so that things like
+    // \left(x\right)^2 work correctly.
+    var base = this.parseImplicitGroup();
+
+    // 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) {
+        // Lex the first token
+        var lex = this.nextToken;
+
+        if (lex.text === "\\limits" || lex.text === "\\nolimits") {
+            // We got a limit control
+            if (!base || base.type !== "op") {
+                throw new ParseError(
+                    "Limit controls must follow a math operator",
+                    this.lexer, this.pos);
+            } else {
+                var limits = lex.text === "\\limits";
+                base.value.limits = limits;
+                base.value.alwaysHandleSupSub = true;
+            }
+            this.consume();
+        } else if (lex.text === "^") {
+            // We got a superscript start
+            // if (superscript) {
+            //     throw new ParseError(
+            //         "Double superscript", this.lexer, this.pos);
+            // }
+            superscript = this.handleSupSubscript("superscript");
+        } else if (lex.text === "_") {
+            // We got a subscript start
+            // if (subscript) {
+            //     throw new ParseError(
+            //         "Double subscript", this.lexer, this.pos);
+            // }
+            subscript = this.handleSupSubscript("subscript");
+        } else if (lex.text === "'") {
+            // We got a prime
+            var prime = new ParseNode("textord", "\\prime", this.mode);
+
+            // 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.nextToken.text === "'") {
+                // For each one, add another prime to the list
+                primes.push(prime);
+                this.consume();
+            }
+            // Put them into an ordgroup as the superscript
+            superscript = new ParseNode("ordgroup", primes, this.mode);
+        } else {
+            // If it wasn't ^, _, or ', stop parsing super/subscripts
+            break;
+        }
+    }
+
+    if (superscript || subscript) {
+        // If we got either a superscript or subscript, create a supsub
+        return new ParseNode("supsub", {
+            base: base,
+            sup: superscript,
+            sub: subscript,
+        }, this.mode);
+    } else {
+        // Otherwise return the original body
+        return base;
+    }
+};
+
+// A list of the size-changing functions, for use in parseImplicitGroup
+var sizeFuncs = [
+    "\\tiny", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize",
+    "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge", "\\textrm", "\\rm", "\\cal",
+    "\\bf", "\\siptstyle", "\\boldmath", "\\it"
+];
+
+// A list of the style-changing functions, for use in parseImplicitGroup
+var styleFuncs = [
+    "\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle",
+];
+
+/**
+ * Parses an implicit group, which is a group that starts at the end of a
+ * specified, and ends right before a higher explicit group ends, or at EOL. It
+ * is used for functions that appear to affect the current style, like \Large or
+ * \textrm, where instead of keeping a style we just pretend that there is an
+ * implicit grouping after it until the end of the group. E.g.
+ *   small text {\Large large text} small text again
+ * It is also used for \left and \right to get the correct grouping.
+ *
+ * @return {?ParseNode}
+ */
+Parser.prototype.parseImplicitGroup = function() {
+    var start = this.parseSymbol();
+
+    if (start == null) {
+        // If we didn't get anything we handle, fall back to parseFunction
+        return this.parseFunction();
+    }
+
+    var func = start.result;
+    var body;
+    if (func === "\\left") {
+        // If we see a left:
+        // Parse the entire left function (including the delimiter)
+        var left = this.parseFunction(start);
+        // Parse out the implicit body
+        body = this.parseExpression(false);
+        // Check the next token
+        this.expect("\\right", false);
+        var right = this.parseFunction();
+        return new ParseNode("leftright", {
+            body: body,
+            left: left.value.value,
+            right: right.value.value,
+        }, this.mode);
+    } else if (func === "\\begin") {
+        // begin...end is similar to left...right
+        var begin = this.parseFunction(start);
+        var envName = begin.value.name;
+        var name = (begin.value.name + "")
+
+        global_str = global_str.substring(0, global_str.length - (name.length * 2 + 2)) + name + "}"
+
+        if (!environments.hasOwnProperty(envName)) {
+            throw new ParseError(
+                "No such environment: " + envName,
+                this.lexer, begin.value.namepos);
+        }
+        // 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 = this.parseArguments("\\begin{" + envName + "}", env);
+        var context = {
+            mode: this.mode,
+            envName: envName,
+            parser: this,
+            lexer: this.lexer,
+            positions: args.pop(),
+        };
+        var result = env.handler(context, args);
+        this.expect("\\end", false);
+        var end = this.parseFunction();
+        
+        var name = (begin.value.name + "")
+
+        global_str = global_str.substring(0, global_str.length - (name.length * 2 + 2)) + name + "}"
+        if (end.value.name !== envName) {
+            throw new ParseError(
+                "Mismatch: \\begin{" + envName + "} matched " +
+                "by \\end{" + end.value.name + "}",
+                this.lexer /* , end.value.namepos */);
+            // TODO: Add position to the above line and adjust test case,
+            // requires #385 to get merged first
+        }
+        result.position = end.position;
+
+        return result;
+
+    } else if (func.value == "\\matrix" || func.value == "\\pmatrix" || func.value == "\\cases") {
+        // if (!environments.hasOwnProperty(envName)) {
+        //     throw new ParseError(
+        //         "No such environment: " + envName,
+        //         this.lexer, begin.value.namepos);
+        // }
+        // Build the environment object. Arguments and other information will
+        // be made available to the begin and end methods using properties.
+
+        envName = func.value.slice(1);
+        var env = environments[envName];
+        // var args = this.parseArguments("\\matrix{", env);
+        this.expect("{", true);
+        var context = {
+            mode: this.mode,
+            envName: envName,
+            parser: this,
+            lexer: this.lexer
+        };
+
+        var result = env.handler(context, {}  );
+        // exit();
+        this.expect("}", true);
+        // var end = this.parseFunction();
+        var next = this.nextToken.text;
+        // exit();
+        // console.log(next);
+        // var name = ( + "")
+
+        // global_str = global_str.substring(0, global_str.length - (name.length * 2 + 2)) + name + "}"
+        // result.position = end.position;
+
+        return result;
+        
+    } else if (utils.contains(sizeFuncs, func)) {
+        // If we see a sizing function, parse out the implict body
+        body = this.parseExpression(false);
+
+        return new ParseNode("sizing", {
+            // Figure out what size to use based on the list of functions above
+            original: func,
+            size: "size" + (utils.indexOf(sizeFuncs, func) + 1),
+            value: body,
+        }, this.mode);
+    } else if (utils.contains(styleFuncs, func)) {
+        // If we see a styling function, parse out the implict body
+        body = this.parseExpression(true);
+        return new ParseNode("styling", {
+            // Figure out what style to use by pulling out the style from
+            // the function name
+            original: func,
+            style: func.slice(1, func.length - 5),
+            value: body,
+        }, this.mode);
+    } else {
+        // Defer to parseFunction if it's not a function we handle
+        return this.parseFunction(start);
+    }
+};
+
+/**
+ * Parses an entire function, including its base and all of its arguments.
+ * The base might either have been parsed already, in which case
+ * it is provided as an argument, or it's the next group in the input.
+ *
+ * @param {ParseFuncOrArgument=} baseGroup optional as described above
+ * @return {?ParseNode}
+ */
+Parser.prototype.parseFunction = function(baseGroup) {
+    if (!baseGroup) {
+        baseGroup = this.parseGroup();
+    }
+
+    if (baseGroup) {
+        if (baseGroup.isFunction) {
+            var func = baseGroup.result;
+            var funcData = functions[func];
+            if (this.mode === "text" && !funcData.allowedInText) {
+                // throw new ParseError(
+                //     "Can't use function '" + func + "' in text mode",
+                //     this.lexer, baseGroup.position);
+            }
+
+            var args = this.parseArguments(func, funcData);
+            var result = this.callFunction(func, args, args.pop());
+            return new ParseNode(result.type, result, this.mode);
+        } else {
+            return baseGroup.result;
+        }
+    } else {
+        return null;
+    }
+};
+
+/**
+ * Call a function handler with a suitable context and arguments.
+ */
+Parser.prototype.callFunction = function(name, args, positions) {
+    var context = {
+        funcName: name,
+        parser: this,
+        lexer: this.lexer,
+        positions: positions,
+    };
+    return functions[name].handler(context, args);
+};
+
+/**
+ * Parses the arguments of a function or environment
+ *
+ * @param {string} func  "\name" or "\begin{name}"
+ * @param {{numArgs:number,numOptionalArgs:number|undefined}} funcData
+ * @return the array of arguments, with the list of positions as last element
+ */
+Parser.prototype.parseArguments = function(func, funcData) {
+    var totalArgs = funcData.numArgs + funcData.numOptionalArgs;
+    if (totalArgs === 0) {
+        return [[this.pos]];
+    }
+
+    var baseGreediness = funcData.greediness;
+    var positions = [this.pos];
+    var args = [];
+
+    for (var i = 0; i < totalArgs; i++) {
+        var argType = funcData.argTypes && funcData.argTypes[i];
+        var arg;
+        if (i < funcData.numOptionalArgs) {
+            if (argType) {
+                arg = this.parseSpecialGroup(argType, true);
+            } else {
+                arg = this.parseOptionalGroup();
+            }
+            if (!arg) {
+                args.push(null);
+                positions.push(this.pos);
+                continue;
+            }
+        } else {
+            if (argType) {
+                arg = this.parseSpecialGroup(argType);
+            } else {
+                arg = this.parseGroup();
+            }
+            if (!arg) {
+                if (!this.settings.throwOnError &&
+                    this.nextToken.text[0] === "\\") {
+                    arg = new ParseFuncOrArgument(
+                        this.handleUnsupportedCmd(this.nextToken.text),
+                        false);
+                } else {
+                    throw new ParseError(
+                        "Expected group after '" + func + "'",
+                        this.lexer, this.pos);
+                }
+            }
+        }
+        var argNode;
+        if (arg.isFunction) {
+            var argGreediness =
+                functions[arg.result].greediness;
+            if (argGreediness > baseGreediness) {
+                argNode = this.parseFunction(arg);
+            } else {
+                // throw new ParseError(
+                //     "Got function '" + arg.result + "' as " +
+                //     "argument to '" + func + "'",
+                //     this.lexer, this.pos - 1);
+            }
+        } else {
+            argNode = arg.result;
+        }
+        args.push(argNode);
+        positions.push(this.pos);
+    }
+
+    args.push(positions);
+
+    return args;
+};
+
+
+/**
+ * Parses a group when the mode is changing. Takes a position, a new mode, and
+ * an outer mode that is used to parse the outside.
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseSpecialGroup = function(innerMode, optional) {
+    var outerMode = this.mode;
+    // Handle `original` argTypes
+    if (innerMode === "original") {
+        innerMode = outerMode;
+    }
+
+    if (innerMode === "color" || innerMode === "size") {
+        // color and size modes are special because they should have braces and
+        // should only lex a single symbol inside
+        var openBrace = this.nextToken;
+        if (optional && openBrace.text !== "[") {
+            // optional arguments should return null if they don't exist
+            return null;
+        }
+        // The call to expect will lex the token after the '{' in inner mode
+        this.mode = innerMode;
+        this.expect(optional ? "[" : "{");
+        var inner = this.nextToken;
+        this.mode = outerMode;
+        var data;
+        if (innerMode === "color") {
+            data = inner.text;
+        } else {
+            data = inner.data;
+        }
+        this.consume(); // consume the token stored in inner
+        this.expect(optional ? "]" : "}");
+        return new ParseFuncOrArgument(
+            new ParseNode(innerMode, data, outerMode),
+            false);
+    } else if (innerMode === "text") {
+        // text mode is special because it should ignore the whitespace before
+        // it
+        var whitespace = this.lexer.lex(this.pos, "whitespace");
+        this.pos = whitespace.position;
+    }
+
+    // By the time we get here, innerMode is one of "text" or "math".
+    // We switch the mode of the parser, recurse, then restore the old mode.
+    this.mode = innerMode;
+    this.nextToken = this.lexer.lex(this.pos, innerMode);
+    var res;
+    if (optional) {
+        res = this.parseOptionalGroup();
+    } else {
+        res = this.parseGroup();
+    }
+    this.mode = outerMode;
+    this.nextToken = this.lexer.lex(this.pos, outerMode);
+    return res;
+};
+
+/**
+ * Parses a group, which is either a single nucleus (like "x") or an expression
+ * in braces (like "{x+y}")
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseGroup = function() {
+    // Try to parse an open brace
+    if (this.nextToken.text === "{") {
+        // If we get a brace, parse an expression
+        this.consume();
+        var expression = this.parseExpression(false);
+        // Make sure we get a close brace
+        this.expect("}");
+        return new ParseFuncOrArgument(
+            new ParseNode("ordgroup", expression, this.mode),
+            false);
+    } else {
+        // Otherwise, just return a nucleus
+        return this.parseSymbol();
+    }
+};
+
+/**
+ * Parses a group, which is an expression in brackets (like "[x+y]")
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseOptionalGroup = function() {
+    // Try to parse an open bracket
+    if (this.nextToken.text === "[") {
+        // If we get a brace, parse an expression
+        this.consume();
+        var expression = this.parseExpression(false, "]");
+        // Make sure we get a close bracket
+        this.expect("]");
+        return new ParseFuncOrArgument(
+            new ParseNode("ordgroup", expression, this.mode),
+            false);
+    } else {
+        // Otherwise, return null,
+        return null;
+    }
+};
+
+/**
+ * Parse a single symbol out of the string. Here, we handle both the functions
+ * we have defined, as well as the single character symbols
+ *
+ * @return {?ParseFuncOrArgument}
+ */
+Parser.prototype.parseSymbol = function() {
+    var nucleus = this.nextToken;
+
+    if (functions[nucleus.text]) {
+        this.consume();
+        // If there exists a function with this name, we return the function and
+        // say that it is a function.
+        return new ParseFuncOrArgument(
+            nucleus.text,
+            true);
+    } else if (symbols[this.mode][nucleus.text]) {
+        this.consume();
+        // Otherwise if this is a no-argument function, find the type it
+        // corresponds to in the symbols map
+        return new ParseFuncOrArgument(
+            new ParseNode(symbols[this.mode][nucleus.text].group,
+                          nucleus.text, this.mode),
+            false);
+    } else if (nucleus.text == "EOF" || nucleus.text == "{") {
+        return null;
+        
+    } else {
+        this.consume();
+        // console.error(nucleus);
+        return new ParseFuncOrArgument(
+            new ParseNode(symbols["math"]["\\sigma"].group,
+                          nucleus.text, this.mode),
+            false);
+        // console.log(nucleus.text);
+        // return null;
+    }
+};
+
+Parser.prototype.ParseNode = ParseNode;
+
+module.exports = Parser;

katex/src/Settings.js

@@ -0,0 +1,28 @@
+/**
+ * This is a module for storing settings passed into KaTeX. It correctly handles
+ * default settings.
+ */
+
+/**
+ * Helper function for getting a default value if the value is undefined
+ */
+function get(option, defaultValue) {
+    return option === undefined ? defaultValue : option;
+}
+
+/**
+ * The main Settings object
+ *
+ * The current options stored are:
+ *  - displayMode: Whether the expression should be typeset by default in
+ *                 textstyle or displaystyle (default false)
+ */
+function Settings(options) {
+    // allow null options
+    options = options || {};
+    this.displayMode = get(options.displayMode, false);
+    this.throwOnError = get(options.throwOnError, true);
+    this.errorColor = get(options.errorColor, "#cc0000");
+}
+
+module.exports = Settings;

katex/src/Style.js

@@ -0,0 +1,126 @@
+/**
+ * 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), a cramped flag, and a
+ * size multiplier, which gives the size difference between a style and
+ * textstyle.
+ */
+function Style(id, size, multiplier, cramped) {
+    this.id = id;
+    this.size = size;
+    this.cramped = cramped;
+    this.sizeMultiplier = multiplier;
+}
+
+/**
+ * Get the style of a superscript given a base in the current style.
+ */
+Style.prototype.sup = function() {
+    return styles[sup[this.id]];
+};
+
+/**
+ * Get the style of a subscript given a base in the current style.
+ */
+Style.prototype.sub = function() {
+    return styles[sub[this.id]];
+};
+
+/**
+ * Get the style of a fraction numerator given the fraction in the current
+ * style.
+ */
+Style.prototype.fracNum = function() {
+    return styles[fracNum[this.id]];
+};
+
+/**
+ * Get the style of a fraction denominator given the fraction in the current
+ * style.
+ */
+Style.prototype.fracDen = function() {
+    return styles[fracDen[this.id]];
+};
+
+/**
+ * Get the cramped version of a style (in particular, cramping a cramped style
+ * doesn't change the style).
+ */
+Style.prototype.cramp = function() {
+    return styles[cramp[this.id]];
+};
+
+/**
+ * HTML class name, like "displaystyle cramped"
+ */
+Style.prototype.cls = function() {
+    return sizeNames[this.size] + (this.cramped ? " cramped" : " uncramped");
+};
+
+/**
+ * HTML Reset class name, like "reset-textstyle"
+ */
+Style.prototype.reset = function() {
+    return resetNames[this.size];
+};
+
+// 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;
+
+// String names for the different sizes
+var sizeNames = [
+    "displaystyle textstyle",
+    "textstyle",
+    "scriptstyle",
+    "scriptscriptstyle",
+];
+
+// Reset names for the different sizes
+var resetNames = [
+    "reset-textstyle",
+    "reset-textstyle",
+    "reset-scriptstyle",
+    "reset-scriptscriptstyle",
+];
+
+// Instances of the different styles
+var styles = [
+    new Style(D, 0, 1.0, false),
+    new Style(Dc, 0, 1.0, true),
+    new Style(T, 1, 1.0, false),
+    new Style(Tc, 1, 1.0, true),
+    new Style(S, 2, 0.7, false),
+    new Style(Sc, 2, 0.7, true),
+    new Style(SS, 3, 0.5, false),
+    new Style(SSc, 3, 0.5, 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];
+
+// We only export some of the styles. Also, we don't export the `Style` class so
+// no more styles can be generated.
+module.exports = {
+    DISPLAY: styles[D],
+    TEXT: styles[T],
+    SCRIPT: styles[S],
+    SCRIPTSCRIPT: styles[SS],
+};

katex/src/buildCommon.js

@@ -0,0 +1,450 @@
+/* eslint no-console:0 */
+/**
+ * This module contains general functions that can be used for building
+ * different kinds of domTree nodes in a consistent manner.
+ */
+
+var domTree = require("./domTree");
+var fontMetrics = require("./fontMetrics");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var greekCapitals = [
+    "\\Gamma",
+    "\\Delta",
+    "\\Theta",
+    "\\Lambda",
+    "\\Xi",
+    "\\Pi",
+    "\\Sigma",
+    "\\Upsilon",
+    "\\Phi",
+    "\\Psi",
+    "\\Omega",
+];
+
+var dotlessLetters = [
+    "\u0131",   // dotless i, \imath
+    "\u0237",   // dotless j, \jmath
+];
+
+/**
+ * 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.
+ */
+var makeSymbol = function(value, style, mode, color, classes) {
+    // Replace the value with its replaced value from symbol.js
+    if (symbols[mode][value] && symbols[mode][value].replace) {
+        value = symbols[mode][value].replace;
+    }
+
+    var metrics = fontMetrics.getCharacterMetrics(value, style);
+
+    var symbolNode;
+    if (metrics) {
+        symbolNode = new domTree.symbolNode(
+            value, metrics.height, metrics.depth, metrics.italic, metrics.skew,
+            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 '" +
+                style + "'");
+        symbolNode = new domTree.symbolNode(value, 0, 0, 0, 0, classes);
+    }
+
+    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(value, mode, color, 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
+    if (value === "\\" || symbols[mode][value].font === "main") {
+        return makeSymbol(value, "Main-Regular", mode, color, classes);
+    } else {
+        return makeSymbol(
+            value, "AMS-Regular", mode, color, classes.concat(["amsrm"]));
+    }
+};
+
+/**
+ * Makes a symbol in the default font for mathords and textords.
+ */
+var mathDefault = function(value, mode, color, classes, type) {
+    if (type === "mathord") {
+        return mathit(value, mode, color, classes);
+    } else if (type === "textord") {
+        return makeSymbol(
+            value, "Main-Regular", mode, color, classes.concat(["mathrm"]));
+    } else {
+        throw new Error("unexpected type: " + type + " in mathDefault");
+    }
+};
+
+/**
+ * Makes a symbol in the italic math font.
+ */
+var mathit = function(value, mode, color, classes) {
+    if (/[0-9]/.test(value.charAt(0)) ||
+            // glyphs for \imath and \jmath do not exist in Math-Italic so we
+            // need to use Main-Italic instead
+            utils.contains(dotlessLetters, value) ||
+            utils.contains(greekCapitals, value)) {
+        return makeSymbol(
+            value, "Main-Italic", mode, color, classes.concat(["mainit"]));
+    } else {
+        return makeSymbol(
+            value, "Math-Italic", mode, color, classes.concat(["mathit"]));
+    }
+};
+
+/**
+ * Makes either a mathord or textord in the correct font and color.
+ */
+var makeOrd = function(group, options, type) {
+    var mode = group.mode;
+    var value = group.value;
+    if (symbols[mode][value] && symbols[mode][value].replace) {
+        value = symbols[mode][value].replace;
+    }
+
+    var classes = ["mord"];
+    var color = options.getColor();
+
+    var font = options.font;
+    if (font) {
+        if (font === "mathit" || utils.contains(dotlessLetters, value)) {
+            return mathit(value, mode, color, classes);
+        } else {
+            var fontName = fontMap[font].fontName;
+            if (fontMetrics.getCharacterMetrics(value, fontName)) {
+                return makeSymbol(
+                    value, fontName, mode, color, classes.concat([font]));
+            } else {
+                return mathDefault(value, mode, color, classes, type);
+            }
+        }
+    } else {
+        return mathDefault(value, mode, color, classes, type);
+    }
+};
+
+/**
+ * Calculate the height, depth, and maxFontSize of an element based on its
+ * children.
+ */
+var sizeElementFromChildren = function(elem) {
+    var height = 0;
+    var depth = 0;
+    var maxFontSize = 0;
+
+    if (elem.children) {
+        for (var i = 0; i < elem.children.length; i++) {
+            if (elem.children[i].height > height) {
+                height = elem.children[i].height;
+            }
+            if (elem.children[i].depth > depth) {
+                depth = elem.children[i].depth;
+            }
+            if (elem.children[i].maxFontSize > maxFontSize) {
+                maxFontSize = elem.children[i].maxFontSize;
+            }
+        }
+    }
+
+    elem.height = height;
+    elem.depth = depth;
+    elem.maxFontSize = maxFontSize;
+};
+
+/**
+ * Makes a span with the given list of classes, list of children, and color.
+ */
+var makeSpan = function(classes, children, color) {
+    var span = new domTree.span(classes, children);
+
+    sizeElementFromChildren(span);
+
+    if (color) {
+        span.style.color = color;
+    }
+
+    return span;
+};
+
+/**
+ * Makes a document fragment with the given list of children.
+ */
+var makeFragment = function(children) {
+    var fragment = new domTree.documentFragment(children);
+
+    sizeElementFromChildren(fragment);
+
+    return fragment;
+};
+
+/**
+ * Makes an element placed in each of the vlist elements to ensure that each
+ * element has the same max font size. To do this, we create a zero-width space
+ * with the correct font size.
+ */
+var makeFontSizer = function(options, fontSize) {
+    var fontSizeInner = makeSpan([], [new domTree.symbolNode("\u200b")]);
+    fontSizeInner.style.fontSize =
+        (fontSize / options.style.sizeMultiplier) + "em";
+
+    var fontSizer = makeSpan(
+        ["fontsize-ensurer", "reset-" + options.size, "size5"],
+        [fontSizeInner]);
+
+    return fontSizer;
+};
+
+/**
+ * Makes a vertical list by stacking elements and kerns on top of each other.
+ * Allows for many different ways of specifying the positioning method.
+ *
+ * Arguments:
+ *  - children: A list of child or kern nodes to be stacked on top of each other
+ *              (i.e. the first element will be at the bottom, and the last at
+ *              the top). Element nodes are specified as
+ *                {type: "elem", elem: node}
+ *              while kern nodes are specified as
+ *                {type: "kern", size: size}
+ *  - positionType: The method by which the vlist should be positioned. Valid
+ *                  values are:
+ *                   - "individualShift": The children list only contains elem
+ *                                        nodes, and each node contains an extra
+ *                                        "shift" value of how much it should be
+ *                                        shifted (note that shifting is always
+ *                                        moving downwards). positionData is
+ *                                        ignored.
+ *                   - "top": The positionData specifies the topmost point of
+ *                            the vlist (note this is expected to be a height,
+ *                            so positive values move up)
+ *                   - "bottom": The positionData specifies the bottommost point
+ *                               of the vlist (note this is expected to be a
+ *                               depth, so positive values move down
+ *                   - "shift": The vlist will be positioned such that its
+ *                              baseline is positionData away from the baseline
+ *                              of the first child. Positive values move
+ *                              downwards.
+ *                   - "firstBaseline": The vlist will be positioned such that
+ *                                      its baseline is aligned with the
+ *                                      baseline of the first child.
+ *                                      positionData is ignored. (this is
+ *                                      equivalent to "shift" with
+ *                                      positionData=0)
+ *  - positionData: Data used in different ways depending on positionType
+ *  - options: An Options object
+ *
+ */
+var makeVList = function(children, positionType, positionData, options) {
+    var depth;
+    var currPos;
+    var i;
+    if (positionType === "individualShift") {
+        var oldChildren = children;
+        children = [oldChildren[0]];
+
+        // Add in kerns to the list of children to get each element to be
+        // shifted to the correct specified shift
+        depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
+        currPos = depth;
+        for (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]);
+        }
+    } else if (positionType === "top") {
+        // We always start at the bottom, so calculate the bottom by adding up
+        // all the sizes
+        var bottom = positionData;
+        for (i = 0; i < children.length; i++) {
+            if (children[i].type === "kern") {
+                bottom -= children[i].size;
+            } else {
+                bottom -= children[i].elem.height + children[i].elem.depth;
+            }
+        }
+        depth = bottom;
+    } else if (positionType === "bottom") {
+        depth = -positionData;
+    } else if (positionType === "shift") {
+        depth = -children[0].elem.depth - positionData;
+    } else if (positionType === "firstBaseline") {
+        depth = -children[0].elem.depth;
+    } else {
+        depth = 0;
+    }
+
+    // Make the fontSizer
+    var maxFontSize = 0;
+    for (i = 0; i < children.length; i++) {
+        if (children[i].type === "elem") {
+            maxFontSize = Math.max(maxFontSize, children[i].elem.maxFontSize);
+        }
+    }
+    var fontSizer = makeFontSizer(options, maxFontSize);
+
+    // Create a new list of actual children at the correct offsets
+    var realChildren = [];
+    currPos = depth;
+    for (i = 0; i < children.length; i++) {
+        if (children[i].type === "kern") {
+            currPos += children[i].size;
+        } else {
+            var child = children[i].elem;
+
+            var shift = -child.depth - currPos;
+            currPos += child.height + child.depth;
+
+            var childWrap = makeSpan([], [fontSizer, child]);
+            childWrap.height -= shift;
+            childWrap.depth += shift;
+            childWrap.style.top = shift + "em";
+
+            realChildren.push(childWrap);
+        }
+    }
+
+    // Add in an element at the end with no offset to fix the calculation of
+    // baselines in some browsers (namely IE, sometimes safari)
+    var baselineFix = makeSpan(
+        ["baseline-fix"], [fontSizer, new domTree.symbolNode("\u200b")]);
+    realChildren.push(baselineFix);
+
+    var vlist = makeSpan(["vlist"], realChildren);
+    // Fix the final height and depth, in case there were kerns at the ends
+    // since the makeSpan calculation won't take that in to account.
+    vlist.height = Math.max(currPos, vlist.height);
+    vlist.depth = Math.max(-depth, vlist.depth);
+    return vlist;
+};
+
+// A table of size -> font size for the different sizing functions
+var sizingMultiplier = {
+    size1: 0.5,
+    size2: 0.7,
+    size3: 0.8,
+    size4: 0.9,
+    size5: 1.0,
+    size6: 1.2,
+    size7: 1.44,
+    size8: 1.73,
+    size9: 2.07,
+    size10: 2.49,
+};
+
+// A map of spacing functions to their attributes, like size and corresponding
+// CSS class
+var spacingFunctions = {
+    "\\qquad": {
+        size: "2em",
+        className: "qquad",
+    },
+    "\\quad": {
+        size: "1em",
+        className: "quad",
+    },
+    "\\enspace": {
+        size: "0.5em",
+        className: "enspace",
+    },
+    "\\;": {
+        size: "0.277778em",
+        className: "thickspace",
+    },
+    "\\:": {
+        size: "0.22222em",
+        className: "mediumspace",
+    },
+    "\\,": {
+        size: "0.16667em",
+        className: "thinspace",
+    },
+    "\\!": {
+        size: "-0.16667em",
+        className: "negativethinspace",
+    },
+};
+
+/**
+ * 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",
+    },
+
+    // "mathit" is missing because it requires the use of two fonts: Main-Italic
+    // and Math-Italic.  This is handled by a special case in makeOrd which ends
+    // up calling mathit.
+
+    // 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",
+    },
+};
+
+module.exports = {
+    fontMap: fontMap,
+    makeSymbol: makeSymbol,
+    mathsym: mathsym,
+    makeSpan: makeSpan,
+    makeFragment: makeFragment,
+    makeVList: makeVList,
+    makeOrd: makeOrd,
+    sizingMultiplier: sizingMultiplier,
+    spacingFunctions: spacingFunctions,
+};

katex/src/buildHTML.js

@@ -0,0 +1,1402 @@
+/* eslint no-console:0 */
+/**
+ * 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 groupTypes functions are
+ * called, to produce a final HTML tree.
+ */
+
+var ParseError = require("./ParseError");
+var Style = require("./Style");
+
+var buildCommon = require("./buildCommon");
+var delimiter = require("./delimiter");
+var domTree = require("./domTree");
+var fontMetrics = require("./fontMetrics");
+var utils = require("./utils");
+
+var makeSpan = buildCommon.makeSpan;
+
+/**
+ * Take a list of nodes, build them in order, and return a list of the built
+ * nodes. This function handles the `prev` node correctly, and passes the
+ * previous element from the list as the prev of the next element.
+ */
+var buildExpression = function(expression, options, prev) {
+    var groups = [];
+    for (var i = 0; i < expression.length; i++) {
+        var group = expression[i];
+        groups.push(buildGroup(group, options, prev));
+        prev = group;
+    }
+    return groups;
+};
+
+// List of types used by getTypeOfGroup,
+// see https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types
+var groupToType = {
+    mathord: "mord",
+    textord: "mord",
+    bin: "mbin",
+    rel: "mrel",
+    text: "mord",
+    open: "mopen",
+    close: "mclose",
+    inner: "minner",
+    genfrac: "mord",
+    array: "mord",
+    spacing: "mord",
+    punct: "mpunct",
+    ordgroup: "mord",
+    op: "mop",
+    katex: "mord",
+    overline: "mord",
+    underline: "mord",
+    rule: "mord",
+    leftright: "minner",
+    sqrt: "mord",
+    accent: "mord",
+};
+
+/**
+ * Gets the final math type of an expression, given its group type. This type is
+ * used to determine spacing between elements, and affects bin elements by
+ * causing them to change depending on what types are around them. This type
+ * must be attached to the outermost node of an element as a CSS class so that
+ * spacing with its surrounding elements works correctly.
+ *
+ * Some elements can be mapped one-to-one from group type to math type, and
+ * those are listed in the `groupToType` table.
+ *
+ * Others (usually elements that wrap around other elements) often have
+ * recursive definitions, and thus call `getTypeOfGroup` on their inner
+ * elements.
+ */
+var getTypeOfGroup = function(group) {
+    if (group == null) {
+        // Like when typesetting $^3$
+        return groupToType.mathord;
+    } else if (group.type === "supsub") {
+        return getTypeOfGroup(group.value.base);
+    } else if (group.type === "llap" || group.type === "rlap") {
+        return getTypeOfGroup(group.value);
+    } else if (group.type === "color") {
+        return getTypeOfGroup(group.value.value);
+    } else if (group.type === "sizing") {
+        return getTypeOfGroup(group.value.value);
+    } else if (group.type === "styling") {
+        return getTypeOfGroup(group.value.value);
+    } else if (group.type === "delimsizing") {
+        return groupToType[group.value.delimType];
+    } else {
+        return groupToType[group.type];
+    }
+};
+
+/**
+ * Sometimes, groups perform special rules when they have superscripts or
+ * subscripts attached to them. This function lets the `supsub` group know that
+ * its inner element should handle the superscripts and subscripts instead of
+ * handling them itself.
+ */
+var shouldHandleSupSub = function(group, options) {
+    if (!group) {
+        return false;
+    } else if (group.type === "op") {
+        // Operators handle supsubs differently when they have limits
+        // (e.g. `\displaystyle\sum_2^3`)
+        return group.value.limits &&
+            (options.style.size === Style.DISPLAY.size ||
+            group.value.alwaysHandleSupSub);
+    } else if (group.type === "accent") {
+        return isCharacterBox(group.value.base);
+    } else {
+        return null;
+    }
+};
+
+/**
+ * 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(group) {
+    if (!group) {
+        return false;
+    } else if (group.type === "ordgroup") {
+        if (group.value.length === 1) {
+            return getBaseElem(group.value[0]);
+        } else {
+            return group;
+        }
+    } else if (group.type === "color") {
+        if (group.value.value.length === 1) {
+            return getBaseElem(group.value.value[0]);
+        } else {
+            return group;
+        }
+    } 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(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 === "bin" ||
+        baseElem.type === "rel" ||
+        baseElem.type === "inner" ||
+        baseElem.type === "open" ||
+        baseElem.type === "close" ||
+        baseElem.type === "punct";
+};
+
+var makeNullDelimiter = function(options) {
+    return makeSpan([
+        "sizing", "reset-" + options.size, "size5",
+        options.style.reset(), Style.TEXT.cls(),
+        "nulldelimiter",
+    ]);
+};
+
+/**
+ * This is a map of group types to the function used to handle that type.
+ * Simpler types come at the beginning, while complicated types come afterwards.
+ */
+var groupTypes = {};
+
+groupTypes.mathord = function(group, options, prev) {
+    return buildCommon.makeOrd(group, options, "mathord");
+};
+
+groupTypes.textord = function(group, options, prev) {
+    return buildCommon.makeOrd(group, options, "textord");
+};
+
+groupTypes.bin = function(group, options, prev) {
+    var className = "mbin";
+    // Pull out the most recent element. Do some special handling to find
+    // things at the end of a \color group. Note that we don't use the same
+    // logic for ordgroups (which count as ords).
+    var prevAtom = prev;
+    while (prevAtom && prevAtom.type === "color") {
+        var atoms = prevAtom.value.value;
+        prevAtom = atoms[atoms.length - 1];
+    }
+    // See TeXbook pg. 442-446, Rules 5 and 6, and the text before Rule 19.
+    // Here, we determine whether the bin should turn into an ord. We
+    // currently only apply Rule 5.
+    if (!prev || utils.contains(["mbin", "mopen", "mrel", "mop", "mpunct"],
+            getTypeOfGroup(prevAtom))) {
+        group.type = "textord";
+        className = "mord";
+    }
+
+    return buildCommon.mathsym(
+        group.value, group.mode, options.getColor(), [className]);
+};
+
+groupTypes.rel = function(group, options, prev) {
+    return buildCommon.mathsym(
+        group.value, group.mode, options.getColor(), ["mrel"]);
+};
+
+groupTypes.open = function(group, options, prev) {
+    return buildCommon.mathsym(
+        group.value, group.mode, options.getColor(), ["mopen"]);
+};
+
+groupTypes.close = function(group, options, prev) {
+    return buildCommon.mathsym(
+        group.value, group.mode, options.getColor(), ["mclose"]);
+};
+
+groupTypes.inner = function(group, options, prev) {
+    return buildCommon.mathsym(
+        group.value, group.mode, options.getColor(), ["minner"]);
+};
+
+groupTypes.punct = function(group, options, prev) {
+    return buildCommon.mathsym(
+        group.value, group.mode, options.getColor(), ["mpunct"]);
+};
+
+groupTypes.ordgroup = function(group, options, prev) {
+    return makeSpan(
+        ["mord", options.style.cls()],
+        buildExpression(group.value, options.reset())
+    );
+};
+
+groupTypes.text = function(group, options, prev) {
+    return makeSpan(["text", "mord", options.style.cls()],
+        buildExpression(group.value.body, options.reset()));
+};
+
+groupTypes.color = function(group, options, prev) {
+    var elements = buildExpression(
+        group.value.value,
+        options.withColor(group.value.color),
+        prev
+    );
+
+    // \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 new buildCommon.makeFragment(elements);
+};
+
+groupTypes.supsub = function(group, options, prev) {
+    // 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.
+    if (shouldHandleSupSub(group.value.base, options)) {
+        return groupTypes[group.value.base.type](group, options, prev);
+    }
+
+    var base = buildGroup(group.value.base, options.reset());
+    var supmid;
+    var submid;
+    var sup;
+    var sub;
+
+    if (group.value.sup) {
+        sup = buildGroup(group.value.sup,
+                options.withStyle(options.style.sup()));
+        supmid = makeSpan(
+                [options.style.reset(), options.style.sup().cls()], [sup]);
+    }
+
+    if (group.value.sub) {
+        sub = buildGroup(group.value.sub,
+                options.withStyle(options.style.sub()));
+        submid = makeSpan(
+                [options.style.reset(), options.style.sub().cls()], [sub]);
+    }
+
+    // Rule 18a
+    var supShift;
+    var subShift;
+    if (isCharacterBox(group.value.base)) {
+        supShift = 0;
+        subShift = 0;
+    } else {
+        supShift = base.height - fontMetrics.metrics.supDrop;
+        subShift = base.depth + fontMetrics.metrics.subDrop;
+    }
+
+    // Rule 18c
+    var minSupShift;
+    if (options.style === Style.DISPLAY) {
+        minSupShift = fontMetrics.metrics.sup1;
+    } else if (options.style.cramped) {
+        minSupShift = fontMetrics.metrics.sup3;
+    } else {
+        minSupShift = fontMetrics.metrics.sup2;
+    }
+
+    // scriptspace is a font-size-independent size, so scale it
+    // appropriately
+    var multiplier = Style.TEXT.sizeMultiplier *
+            options.style.sizeMultiplier;
+    var scriptspace =
+        (0.5 / fontMetrics.metrics.ptPerEm) / multiplier + "em";
+
+    var supsub;
+    if (!group.value.sup) {
+        // Rule 18b
+        subShift = Math.max(
+            subShift, fontMetrics.metrics.sub1,
+            sub.height - 0.8 * fontMetrics.metrics.xHeight);
+
+        supsub = buildCommon.makeVList([
+            {type: "elem", elem: submid},
+        ], "shift", subShift, options);
+
+        supsub.children[0].style.marginRight = scriptspace;
+
+        // 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.
+        if (base instanceof domTree.symbolNode) {
+            supsub.children[0].style.marginLeft = -base.italic + "em";
+        }
+    } else if (!group.value.sub) {
+        // Rule 18c, d
+        supShift = Math.max(supShift, minSupShift,
+            sup.depth + 0.25 * fontMetrics.metrics.xHeight);
+
+        supsub = buildCommon.makeVList([
+            {type: "elem", elem: supmid},
+        ], "shift", -supShift, options);
+
+        supsub.children[0].style.marginRight = scriptspace;
+    } else {
+        supShift = Math.max(
+            supShift, minSupShift,
+            sup.depth + 0.25 * fontMetrics.metrics.xHeight);
+        subShift = Math.max(subShift, fontMetrics.metrics.sub2);
+
+        var ruleWidth = fontMetrics.metrics.defaultRuleThickness;
+
+        // Rule 18e
+        if ((supShift - sup.depth) - (sub.height - subShift) <
+                4 * ruleWidth) {
+            subShift = 4 * ruleWidth - (supShift - sup.depth) + sub.height;
+            var psi = 0.8 * fontMetrics.metrics.xHeight -
+                (supShift - sup.depth);
+            if (psi > 0) {
+                supShift += psi;
+                subShift -= psi;
+            }
+        }
+
+        supsub = buildCommon.makeVList([
+            {type: "elem", elem: submid, shift: subShift},
+            {type: "elem", elem: supmid, shift: -supShift},
+        ], "individualShift", null, options);
+
+        // See comment above about subscripts not being shifted
+        if (base instanceof domTree.symbolNode) {
+            supsub.children[0].style.marginLeft = -base.italic + "em";
+        }
+
+        supsub.children[0].style.marginRight = scriptspace;
+        supsub.children[1].style.marginRight = scriptspace;
+    }
+
+    return makeSpan([getTypeOfGroup(group.value.base)],
+        [base, supsub]);
+};
+
+groupTypes.genfrac = function(group, options, prev) {
+    // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
+    // Figure out what style this fraction should be in based on the
+    // function used
+    var fstyle = options.style;
+    if (group.value.size === "display") {
+        fstyle = Style.DISPLAY;
+    } else if (group.value.size === "text") {
+        fstyle = Style.TEXT;
+    }
+
+    var nstyle = fstyle.fracNum();
+    var dstyle = fstyle.fracDen();
+
+    var numer = buildGroup(group.value.numer, options.withStyle(nstyle));
+    var numerreset = makeSpan([fstyle.reset(), nstyle.cls()], [numer]);
+
+    var denom = buildGroup(group.value.denom, options.withStyle(dstyle));
+    var denomreset = makeSpan([fstyle.reset(), dstyle.cls()], [denom]);
+
+    var ruleWidth;
+    if (group.value.hasBarLine) {
+        ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+            options.style.sizeMultiplier;
+    } else {
+        ruleWidth = 0;
+    }
+
+    // Rule 15b
+    var numShift;
+    var clearance;
+    var denomShift;
+    if (fstyle.size === Style.DISPLAY.size) {
+        numShift = fontMetrics.metrics.num1;
+        if (ruleWidth > 0) {
+            clearance = 3 * ruleWidth;
+        } else {
+            clearance = 7 * fontMetrics.metrics.defaultRuleThickness;
+        }
+        denomShift = fontMetrics.metrics.denom1;
+    } else {
+        if (ruleWidth > 0) {
+            numShift = fontMetrics.metrics.num2;
+            clearance = ruleWidth;
+        } else {
+            numShift = fontMetrics.metrics.num3;
+            clearance = 3 * fontMetrics.metrics.defaultRuleThickness;
+        }
+        denomShift = fontMetrics.metrics.denom2;
+    }
+
+    var frac;
+    if (ruleWidth === 0) {
+        // Rule 15c
+        var candiateClearance =
+            (numShift - numer.depth) - (denom.height - denomShift);
+        if (candiateClearance < clearance) {
+            numShift += 0.5 * (clearance - candiateClearance);
+            denomShift += 0.5 * (clearance - candiateClearance);
+        }
+
+        frac = buildCommon.makeVList([
+            {type: "elem", elem: denomreset, shift: denomShift},
+            {type: "elem", elem: numerreset, shift: -numShift},
+        ], "individualShift", null, options);
+    } else {
+        // Rule 15d
+        var axisHeight = fontMetrics.metrics.axisHeight;
+
+        if ((numShift - numer.depth) - (axisHeight + 0.5 * ruleWidth) <
+                clearance) {
+            numShift +=
+                clearance - ((numShift - numer.depth) -
+                             (axisHeight + 0.5 * ruleWidth));
+        }
+
+        if ((axisHeight - 0.5 * ruleWidth) - (denom.height - denomShift) <
+                clearance) {
+            denomShift +=
+                clearance - ((axisHeight - 0.5 * ruleWidth) -
+                             (denom.height - denomShift));
+        }
+
+        var mid = makeSpan(
+            [options.style.reset(), Style.TEXT.cls(), "frac-line"]);
+        // Manually set the height of the line because its height is
+        // created in CSS
+        mid.height = ruleWidth;
+
+        var midShift = -(axisHeight - 0.5 * ruleWidth);
+
+        frac = buildCommon.makeVList([
+            {type: "elem", elem: denomreset, shift: denomShift},
+            {type: "elem", elem: mid,        shift: midShift},
+            {type: "elem", elem: numerreset, shift: -numShift},
+        ], "individualShift", null, options);
+    }
+
+    // Since we manually change the style sometimes (with \dfrac or \tfrac),
+    // account for the possible size change here.
+    frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier;
+    frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier;
+
+    // Rule 15e
+    var delimSize;
+    if (fstyle.size === Style.DISPLAY.size) {
+        delimSize = fontMetrics.metrics.delim1;
+    } else {
+        delimSize = fontMetrics.metrics.getDelim2(fstyle);
+    }
+
+    var leftDelim;
+    var rightDelim;
+    if (group.value.leftDelim == null) {
+        leftDelim = makeNullDelimiter(options);
+    } else {
+        leftDelim = delimiter.customSizedDelim(
+            group.value.leftDelim, delimSize, true,
+            options.withStyle(fstyle), group.mode);
+    }
+    if (group.value.rightDelim == null) {
+        rightDelim = makeNullDelimiter(options);
+    } else {
+        rightDelim = delimiter.customSizedDelim(
+            group.value.rightDelim, delimSize, true,
+            options.withStyle(fstyle), group.mode);
+    }
+
+    return makeSpan(
+        ["mord", options.style.reset(), fstyle.cls()],
+        [leftDelim, makeSpan(["mfrac"], [frac]), rightDelim],
+        options.getColor());
+};
+
+groupTypes.array = function(group, options, prev) {
+    var r;
+    var c;
+    var nr = group.value.body.length;
+    var nc = 0;
+    var body = new Array(nr);
+
+    // Horizontal spacing
+    var pt = 1 / fontMetrics.metrics.ptPerEm;
+    var arraycolsep = 5 * pt; // \arraycolsep in article.cls
+
+    // Vertical spacing
+    var baselineskip = 12 * pt; // see size10.clo
+    // Default \arraystretch from lttab.dtx
+    // TODO(gagern): may get redefined once we have user-defined macros
+    var arraystretch = utils.deflt(group.value.arraystretch, 1);
+    var arrayskip = arraystretch * baselineskip;
+    var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and
+    var arstrutDepth = 0.3 * arrayskip;  // \@arstrutbox in lttab.dtx
+
+    var totalHeight = 0;
+    for (r = 0; r < group.value.body.length; ++r) {
+        var inrow = group.value.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 gap = 0;
+        if (group.value.rowGaps[r]) {
+            gap = group.value.rowGaps[r].value;
+            switch (gap.unit) {
+                case "em":
+                    gap = gap.number;
+                    break;
+                case "ex":
+                    gap = gap.number * fontMetrics.metrics.emPerEx;
+                    break;
+                default:
+                    console.error("Can't handle unit " + gap.unit);
+                    gap = 0;
+            }
+            if (gap > 0) { // \@argarraycr
+                gap += arstrutDepth;
+                if (depth < gap) {
+                    depth = gap; // \@xargarraycr
+                }
+                gap = 0;
+            }
+        }
+
+        outrow.height = height;
+        outrow.depth = depth;
+        totalHeight += height;
+        outrow.pos = totalHeight;
+        totalHeight += depth + gap; // \@yargarraycr
+        body[r] = outrow;
+    }
+
+    var offset = totalHeight / 2 + fontMetrics.metrics.axisHeight;
+    var colDescriptions = group.value.cols || [];
+    var cols = [];
+    var colSep;
+    var colDescrNum;
+    for (c = 0, colDescrNum = 0;
+         // Continue while either there are more columns or more column
+         // descriptions, so trailing separators don't get lost.
+         c < nc || colDescrNum < colDescriptions.length;
+         ++c, ++colDescrNum) {
+
+        var colDescr = colDescriptions[colDescrNum] || {};
+
+        var firstSeparator = true;
+        while (colDescr.type === "separator") {
+            // If there is more than one separator in a row, add a space
+            // between them.
+            if (!firstSeparator) {
+                colSep = makeSpan(["arraycolsep"], []);
+                colSep.style.width =
+                    fontMetrics.metrics.doubleRuleSep + "em";
+                cols.push(colSep);
+            }
+
+            if (colDescr.separator === "|") {
+                var separator = makeSpan(
+                    ["vertical-separator"],
+                    []);
+                separator.style.height = totalHeight + "em";
+                separator.style.verticalAlign =
+                    -(totalHeight - offset) + "em";
+
+                cols.push(separator);
+            } else {
+                throw new ParseError(
+                    "Invalid separator type: " + colDescr.separator);
+            }
+
+            colDescrNum++;
+            colDescr = colDescriptions[colDescrNum] || {};
+            firstSeparator = false;
+        }
+
+        if (c >= nc) {
+            continue;
+        }
+
+        var sepwidth;
+        if (c > 0 || group.value.hskipBeforeAndAfter) {
+            sepwidth = utils.deflt(colDescr.pregap, arraycolsep);
+            if (sepwidth !== 0) {
+                colSep = makeSpan(["arraycolsep"], []);
+                colSep.style.width = sepwidth + "em";
+                cols.push(colSep);
+            }
+        }
+
+        var col = [];
+        for (r = 0; r < nr; ++r) {
+            var row = body[r];
+            var elem = row[c];
+            if (!elem) {
+                continue;
+            }
+            var shift = row.pos - offset;
+            elem.depth = row.depth;
+            elem.height = row.height;
+            col.push({type: "elem", elem: elem, shift: shift});
+        }
+
+        col = buildCommon.makeVList(col, "individualShift", null, options);
+        col = makeSpan(
+            ["col-align-" + (colDescr.align || "c")],
+            [col]);
+        cols.push(col);
+
+        if (c < nc - 1 || group.value.hskipBeforeAndAfter) {
+            sepwidth = utils.deflt(colDescr.postgap, arraycolsep);
+            if (sepwidth !== 0) {
+                colSep = makeSpan(["arraycolsep"], []);
+                colSep.style.width = sepwidth + "em";
+                cols.push(colSep);
+            }
+        }
+    }
+    body = makeSpan(["mtable"], cols);
+    return makeSpan(["mord"], [body], options.getColor());
+};
+
+groupTypes.spacing = function(group, options, prev) {
+    if (group.value === "\\ " || group.value === "\\space" ||
+        group.value === " " || group.value === "~") {
+        // 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.
+        return makeSpan(
+            ["mord", "mspace"],
+            [buildCommon.mathsym(group.value, group.mode)]
+        );
+    } else {
+        // Other kinds of spaces are of arbitrary width. We use CSS to
+        // generate these.
+        return makeSpan(
+            ["mord", "mspace",
+             buildCommon.spacingFunctions[group.value].className]);
+    }
+};
+
+groupTypes.llap = function(group, options, prev) {
+    var inner = makeSpan(
+        ["inner"], [buildGroup(group.value.body, options.reset())]);
+    var fix = makeSpan(["fix"], []);
+    return makeSpan(
+        ["llap", options.style.cls()], [inner, fix]);
+};
+
+groupTypes.rlap = function(group, options, prev) {
+    var inner = makeSpan(
+        ["inner"], [buildGroup(group.value.body, options.reset())]);
+    var fix = makeSpan(["fix"], []);
+    return makeSpan(
+        ["rlap", options.style.cls()], [inner, fix]);
+};
+
+groupTypes.op = function(group, options, prev) {
+    // Operators are handled in the TeXbook pg. 443-444, rule 13(a).
+    var supGroup;
+    var subGroup;
+    var hasLimits = false;
+    if (group.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 = group.value.sup;
+        subGroup = group.value.sub;
+        group = group.value.base;
+        hasLimits = true;
+    }
+
+    // Most operators have a large successor symbol, but these don't.
+    var noSuccessor = [
+        "\\smallint",
+    ];
+
+    var large = false;
+    if (options.style.size === Style.DISPLAY.size &&
+        group.value.symbol &&
+        !utils.contains(noSuccessor, group.value.body)) {
+
+        // Most symbol operators get larger in displaystyle (rule 13)
+        large = true;
+    }
+
+    var base;
+    var baseShift = 0;
+    var slant = 0;
+    if (group.value.symbol) {
+        // If this is a symbol, create the symbol.
+        var style = large ? "Size2-Regular" : "Size1-Regular";
+        base = buildCommon.makeSymbol(
+            group.value.body, style, "math", options.getColor(),
+            ["op-symbol", large ? "large-op" : "small-op", "mop"]);
+
+        // 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 -
+            fontMetrics.metrics.axisHeight *
+            options.style.sizeMultiplier;
+
+        // The slant of the symbol is just its italic correction.
+        slant = base.italic;
+    } else {
+        // Otherwise, this is a text operator. Build the text from the
+        // operator's name.
+        // TODO(emily): Add a space in the middle of some of these
+        // operators, like \limsup
+        var output = [];
+        for (var i = 1; i < group.value.body.length; i++) {
+            output.push(buildCommon.mathsym(group.value.body[i], group.mode));
+        }
+        base = makeSpan(["mop"], output, options.getColor());
+    }
+
+    if (hasLimits) {
+        // IE 8 clips \int if it is in a display: inline-block. We wrap it
+        // in a new span so it is an inline, and works.
+        base = makeSpan([], [base]);
+
+        var supmid;
+        var supKern;
+        var submid;
+        var subKern;
+        // We manually have to handle the superscripts and subscripts. This,
+        // aside from the kern calculations, is copied from supsub.
+        if (supGroup) {
+            var sup = buildGroup(
+                supGroup, options.withStyle(options.style.sup()));
+            supmid = makeSpan(
+                [options.style.reset(), options.style.sup().cls()], [sup]);
+
+            supKern = Math.max(
+                fontMetrics.metrics.bigOpSpacing1,
+                fontMetrics.metrics.bigOpSpacing3 - sup.depth);
+        }
+
+        if (subGroup) {
+            var sub = buildGroup(
+                subGroup, options.withStyle(options.style.sub()));
+            submid = makeSpan(
+                [options.style.reset(), options.style.sub().cls()],
+                [sub]);
+
+            subKern = Math.max(
+                fontMetrics.metrics.bigOpSpacing2,
+                fontMetrics.metrics.bigOpSpacing4 - sub.height);
+        }
+
+        // Build the final group as a vlist of the possible subscript, base,
+        // and possible superscript.
+        var finalGroup;
+        var top;
+        var bottom;
+        if (!supGroup) {
+            top = base.height - baseShift;
+
+            finalGroup = buildCommon.makeVList([
+                {type: "kern", size: fontMetrics.metrics.bigOpSpacing5},
+                {type: "elem", elem: submid},
+                {type: "kern", size: subKern},
+                {type: "elem", elem: base},
+            ], "top", top, options);
+
+            // Here, we 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.children[0].style.marginLeft = -slant + "em";
+        } else if (!subGroup) {
+            bottom = base.depth + baseShift;
+
+            finalGroup = buildCommon.makeVList([
+                {type: "elem", elem: base},
+                {type: "kern", size: supKern},
+                {type: "elem", elem: supmid},
+                {type: "kern", size: fontMetrics.metrics.bigOpSpacing5},
+            ], "bottom", bottom, options);
+
+            // See comment above about slants
+            finalGroup.children[1].style.marginLeft = slant + "em";
+        } else if (!supGroup && !subGroup) {
+            // 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;
+        } else {
+            bottom = fontMetrics.metrics.bigOpSpacing5 +
+                submid.height + submid.depth +
+                subKern +
+                base.depth + baseShift;
+
+            finalGroup = buildCommon.makeVList([
+                {type: "kern", size: fontMetrics.metrics.bigOpSpacing5},
+                {type: "elem", elem: submid},
+                {type: "kern", size: subKern},
+                {type: "elem", elem: base},
+                {type: "kern", size: supKern},
+                {type: "elem", elem: supmid},
+                {type: "kern", size: fontMetrics.metrics.bigOpSpacing5},
+            ], "bottom", bottom, options);
+
+            // See comment above about slants
+            finalGroup.children[0].style.marginLeft = -slant + "em";
+            finalGroup.children[2].style.marginLeft = slant + "em";
+        }
+
+        return makeSpan(["mop", "op-limits"], [finalGroup]);
+    } else {
+        if (group.value.symbol) {
+            base.style.top = baseShift + "em";
+        }
+
+        return base;
+    }
+};
+
+groupTypes.katex = function(group, options, prev) {
+    // The KaTeX logo. The offsets for the K and a were chosen to look
+    // good, but the offsets for the T, E, and X were taken from the
+    // definition of \TeX in TeX (see TeXbook pg. 356)
+    var k = makeSpan(
+        ["k"], [buildCommon.mathsym("K", group.mode)]);
+    var a = makeSpan(
+        ["a"], [buildCommon.mathsym("A", group.mode)]);
+
+    a.height = (a.height + 0.2) * 0.75;
+    a.depth = (a.height - 0.2) * 0.75;
+
+    var t = makeSpan(
+        ["t"], [buildCommon.mathsym("T", group.mode)]);
+    var e = makeSpan(
+        ["e"], [buildCommon.mathsym("E", group.mode)]);
+
+    e.height = (e.height - 0.2155);
+    e.depth = (e.depth + 0.2155);
+
+    var x = makeSpan(
+        ["x"], [buildCommon.mathsym("X", group.mode)]);
+
+    return makeSpan(
+        ["katex-logo", "mord"], [k, a, t, e, x], options.getColor());
+};
+
+groupTypes.overline = function(group, options, prev) {
+    // Overlines are handled in the TeXbook pg 443, Rule 9.
+
+    // Build the inner group in the cramped style.
+    var innerGroup = buildGroup(group.value.body,
+            options.withStyle(options.style.cramp()));
+
+    var ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+        options.style.sizeMultiplier;
+
+    // Create the line above the body
+    var line = makeSpan(
+        [options.style.reset(), Style.TEXT.cls(), "overline-line"]);
+    line.height = ruleWidth;
+    line.maxFontSize = 1.0;
+
+    // Generate the vlist, with the appropriate kerns
+    var vlist = buildCommon.makeVList([
+        {type: "elem", elem: innerGroup},
+        {type: "kern", size: 3 * ruleWidth},
+        {type: "elem", elem: line},
+        {type: "kern", size: ruleWidth},
+    ], "firstBaseline", null, options);
+
+    return makeSpan(["overline", "mord"], [vlist], options.getColor());
+};
+
+groupTypes.underline = function(group, options, prev) {
+    // Underlines are handled in the TeXbook pg 443, Rule 10.
+
+    // Build the inner group.
+    var innerGroup = buildGroup(group.value.body, options);
+
+    var ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+        options.style.sizeMultiplier;
+
+    // Create the line above the body
+    var line = makeSpan(
+        [options.style.reset(), Style.TEXT.cls(), "underline-line"]);
+    line.height = ruleWidth;
+    line.maxFontSize = 1.0;
+
+    // Generate the vlist, with the appropriate kerns
+    var vlist = buildCommon.makeVList([
+        {type: "kern", size: ruleWidth},
+        {type: "elem", elem: line},
+        {type: "kern", size: 3 * ruleWidth},
+        {type: "elem", elem: innerGroup},
+    ], "top", innerGroup.height, options);
+
+    return makeSpan(["underline", "mord"], [vlist], options.getColor());
+};
+
+groupTypes.sqrt = function(group, options, prev) {
+    // 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.value.body,
+            options.withStyle(options.style.cramp()));
+
+    var ruleWidth = fontMetrics.metrics.defaultRuleThickness /
+        options.style.sizeMultiplier;
+
+    var line = makeSpan(
+        [options.style.reset(), Style.TEXT.cls(), "sqrt-line"], [],
+        options.getColor());
+    line.height = ruleWidth;
+    line.maxFontSize = 1.0;
+
+    var phi = ruleWidth;
+    if (options.style.id < Style.TEXT.id) {
+        phi = fontMetrics.metrics.xHeight;
+    }
+
+    // Calculate the clearance between the body and line
+    var lineClearance = ruleWidth + phi / 4;
+
+    var innerHeight =
+        (inner.height + inner.depth) * options.style.sizeMultiplier;
+    var minDelimiterHeight = innerHeight + lineClearance + ruleWidth;
+
+    // Create a \surd delimiter of the required minimum size
+    var delim = makeSpan(["sqrt-sign"], [
+        delimiter.customSizedDelim("\\surd", minDelimiterHeight,
+                                   false, options, group.mode)],
+                         options.getColor());
+
+    var delimDepth = (delim.height + delim.depth) - 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 delimiter so that its top lines up with the top of the line
+    var delimShift = -(inner.height + lineClearance + ruleWidth) + delim.height;
+    delim.style.top = delimShift + "em";
+    delim.height -= delimShift;
+    delim.depth += delimShift;
+
+    // We add a special case here, because even when `inner` is empty, we
+    // still get a line. So, we use a simple heuristic to decide if we
+    // should omit the body entirely. (note this doesn't work for something
+    // like `\sqrt{\rlap{x}}`, but if someone is doing that they deserve for
+    // it not to work.
+    var body;
+    if (inner.height === 0 && inner.depth === 0) {
+        body = makeSpan();
+    } else {
+        body = buildCommon.makeVList([
+            {type: "elem", elem: inner},
+            {type: "kern", size: lineClearance},
+            {type: "elem", elem: line},
+            {type: "kern", size: ruleWidth},
+        ], "firstBaseline", null, options);
+    }
+
+    if (!group.value.index) {
+        return makeSpan(["sqrt", "mord"], [delim, body]);
+    } else {
+        // Handle the optional root index
+
+        // The index is always in scriptscript style
+        var root = buildGroup(
+            group.value.index,
+            options.withStyle(Style.SCRIPTSCRIPT));
+        var rootWrap = makeSpan(
+            [options.style.reset(), Style.SCRIPTSCRIPT.cls()],
+            [root]);
+
+        // Figure out the height and depth of the inner part
+        var innerRootHeight = Math.max(delim.height, body.height);
+        var innerRootDepth = Math.max(delim.depth, body.depth);
+
+        // The amount the index is shifted by. This is taken from the TeX
+        // source, in the definition of `\r@@t`.
+        var toShift = 0.6 * (innerRootHeight - innerRootDepth);
+
+        // Build a VList with the superscript shifted up correctly
+        var rootVList = buildCommon.makeVList(
+            [{type: "elem", elem: rootWrap}],
+            "shift", -toShift, options);
+        // Add a class surrounding it so we can add on the appropriate
+        // kerning
+        var rootVListWrap = makeSpan(["root"], [rootVList]);
+
+        return makeSpan(["sqrt", "mord"], [rootVListWrap, delim, body]);
+    }
+};
+
+groupTypes.sizing = function(group, options, prev) {
+    // Handle sizing operators like \Huge. Real TeX doesn't actually allow
+    // these functions inside of math expressions, so we do some special
+    // handling.
+    var inner = buildExpression(group.value.value,
+            options.withSize(group.value.size), prev);
+
+    var span = makeSpan(["mord"],
+        [makeSpan(["sizing", "reset-" + options.size, group.value.size,
+                   options.style.cls()],
+                  inner)]);
+
+    // Calculate the correct maxFontSize manually
+    var fontSize = buildCommon.sizingMultiplier[group.value.size];
+    span.maxFontSize = fontSize * options.style.sizeMultiplier;
+
+    return span;
+};
+
+groupTypes.styling = function(group, options, prev) {
+    // Style changes are handled in the TeXbook on pg. 442, Rule 3.
+
+    // Figure out what style we're changing to.
+    var style = {
+        "display": Style.DISPLAY,
+        "text": Style.TEXT,
+        "script": Style.SCRIPT,
+        "scriptscript": Style.SCRIPTSCRIPT,
+    };
+
+    var newStyle = style[group.value.style];
+
+    // Build the inner expression in the new style.
+    var inner = buildExpression(
+        group.value.value, options.withStyle(newStyle), prev);
+
+    return makeSpan([options.style.reset(), newStyle.cls()], inner);
+};
+
+groupTypes.font = function(group, options, prev) {
+    var font = group.value.font;
+    return buildGroup(group.value.body, options.withFont(font), prev);
+};
+
+groupTypes.delimsizing = function(group, options, prev) {
+    var delim = group.value.value;
+
+    if (delim === ".") {
+        // Empty delimiters still count as elements, even though they don't
+        // show anything.
+        return makeSpan([groupToType[group.value.delimType]]);
+    }
+
+    // Use delimiter.sizedDelim to generate the delimiter.
+    return makeSpan(
+        [groupToType[group.value.delimType]],
+        [delimiter.sizedDelim(
+            delim, group.value.size, options, group.mode)]);
+};
+
+groupTypes.leftright = function(group, options, prev) {
+    // Build the inner expression
+    var inner = buildExpression(group.value.body, options.reset());
+
+    var innerHeight = 0;
+    var innerDepth = 0;
+
+    // Calculate its height and depth
+    for (var i = 0; i < inner.length; i++) {
+        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.style.sizeMultiplier;
+    innerDepth *= options.style.sizeMultiplier;
+
+    var leftDelim;
+    if (group.value.left === ".") {
+        // Empty delimiters in \left and \right make null delimiter spaces.
+        leftDelim = makeNullDelimiter(options);
+    } else {
+        // Otherwise, use leftRightDelim to generate the correct sized
+        // delimiter.
+        leftDelim = delimiter.leftRightDelim(
+            group.value.left, innerHeight, innerDepth, options,
+            group.mode);
+    }
+    // Add it to the beginning of the expression
+    inner.unshift(leftDelim);
+
+    var rightDelim;
+    // Same for the right delimiter
+    if (group.value.right === ".") {
+        rightDelim = makeNullDelimiter(options);
+    } else {
+        rightDelim = delimiter.leftRightDelim(
+            group.value.right, innerHeight, innerDepth, options,
+            group.mode);
+    }
+    // Add it to the end of the expression.
+    inner.push(rightDelim);
+
+    return makeSpan(
+        ["minner", options.style.cls()], inner, options.getColor());
+};
+
+groupTypes.rule = function(group, options, prev) {
+    // Make an empty span for the rule
+    var rule = makeSpan(["mord", "rule"], [], options.getColor());
+
+    // Calculate the shift, width, and height of the rule, and account for units
+    var shift = 0;
+    if (group.value.shift) {
+        shift = group.value.shift.number;
+        if (group.value.shift.unit === "ex") {
+            shift *= fontMetrics.metrics.xHeight;
+        }
+    }
+
+    var width = group.value.width.number;
+    if (group.value.width.unit === "ex") {
+        width *= fontMetrics.metrics.xHeight;
+    }
+
+    var height = group.value.height.number;
+    if (group.value.height.unit === "ex") {
+        height *= fontMetrics.metrics.xHeight;
+    }
+
+    // The sizes of rules are absolute, so make it larger if we are in a
+    // smaller style.
+    shift /= options.style.sizeMultiplier;
+    width /= options.style.sizeMultiplier;
+    height /= options.style.sizeMultiplier;
+
+    // Style the rule to the right size
+    rule.style.borderRightWidth = width + "em";
+    rule.style.borderTopWidth = height + "em";
+    rule.style.bottom = shift + "em";
+
+    // Record the height and width
+    rule.width = width;
+    rule.height = height + shift;
+    rule.depth = -shift;
+
+    return rule;
+};
+
+groupTypes.accent = function(group, options, prev) {
+    // Accents are handled in the TeXbook pg. 443, rule 12.
+    var base = group.value.base;
+
+    var supsubGroup;
+    if (group.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 supsub group is the group that was passed in
+        var supsub = group;
+        // The real accent group is the base of the supsub group
+        group = supsub.value.base;
+        // The character box is the base of the accent group
+        base = group.value.base;
+        // Stick the character box into the base of the supsub group
+        supsub.value.base = base;
+
+        // Rerender the supsub group with its new base, and store that
+        // result.
+        supsubGroup = buildGroup(
+            supsub, options.reset(), prev);
+    }
+
+    // Build the base group
+    var body = buildGroup(
+        base, options.withStyle(options.style.cramp()));
+
+    // 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;
+    if (isCharacterBox(base)) {
+        // 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 = getBaseElem(base);
+        // Then, we render its group to get the symbol inside it
+        var baseGroup = buildGroup(
+            baseChar, options.withStyle(options.style.cramp()));
+        // Finally, we pull the skew off of the symbol.
+        skew = 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
+    } else {
+        skew = 0;
+    }
+
+    // calculate the amount of space between the body and the accent
+    var clearance = Math.min(body.height, fontMetrics.metrics.xHeight);
+
+    // Build the accent
+    var accent = buildCommon.makeSymbol(
+        group.value.accent, "Main-Regular", "math", options.getColor());
+    // 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;
+
+    // The \vec character that the fonts use is a combining character, and
+    // thus shows up much too far to the left. To account for this, we add a
+    // specific class which shifts the accent over to where we want it.
+    // TODO(emily): Fix this in a better way, like by changing the font
+    var vecClass = group.value.accent === "\\vec" ? "accent-vec" : null;
+
+    var accentBody = makeSpan(["accent-body", vecClass], [
+        makeSpan([], [accent])]);
+
+    accentBody = buildCommon.makeVList([
+        {type: "elem", elem: body},
+        {type: "kern", size: -clearance},
+        {type: "elem", elem: accentBody},
+    ], "firstBaseline", null, options);
+
+    // Shift the accent over by the skew. Note we shift by twice the skew
+    // because we are centering the accent, so by adding 2*skew to the left,
+    // we shift it to the right by 1*skew.
+    accentBody.children[1].style.marginLeft = 2 * skew + "em";
+
+    var accentWrap = makeSpan(["mord", "accent"], [accentBody]);
+
+    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;
+    }
+};
+
+groupTypes.phantom = function(group, options, prev) {
+    var elements = buildExpression(
+        group.value.value,
+        options.withPhantom(),
+        prev
+    );
+
+    // \phantom isn't supposed to affect the elements it contains.
+    // See "color" for more details.
+    return new buildCommon.makeFragment(elements);
+};
+
+/**
+ * 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(group, options, prev) {
+    if (!group) {
+        return makeSpan();
+    }
+
+    if (groupTypes[group.type]) {
+        // Call the groupTypes function
+        var groupNode = groupTypes[group.type](group, options, prev);
+        var multiplier;
+
+        // If the style changed between the parent and the current group,
+        // account for the size difference
+        if (options.style !== options.parentStyle) {
+            multiplier = options.style.sizeMultiplier /
+                    options.parentStyle.sizeMultiplier;
+
+            groupNode.height *= multiplier;
+            groupNode.depth *= multiplier;
+        }
+
+        // If the size changed between the parent and the current group, account
+        // for that size difference.
+        if (options.size !== options.parentSize) {
+            multiplier = buildCommon.sizingMultiplier[options.size] /
+                    buildCommon.sizingMultiplier[options.parentSize];
+
+            groupNode.height *= multiplier;
+            groupNode.depth *= multiplier;
+        }
+
+        return groupNode;
+    } else {
+        throw new ParseError(
+            "Got group of unknown type: '" + group.type + "'");
+    }
+};
+
+/**
+ * Take an entire parse tree, and build it into an appropriate set of HTML
+ * nodes.
+ */
+var buildHTML = function(tree, options) {
+    // buildExpression is destructive, so we need to make a clone
+    // of the incoming tree so that it isn't accidentally changed
+    tree = JSON.parse(JSON.stringify(tree));
+
+    // Build the expression contained in the tree
+    var expression = buildExpression(tree, options);
+    var body = makeSpan(["base", options.style.cls()], expression);
+
+    // Add struts, which ensure 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 topStrut = makeSpan(["strut"]);
+    var bottomStrut = makeSpan(["strut", "bottom"]);
+
+    topStrut.style.height = body.height + "em";
+    bottomStrut.style.height = (body.height + body.depth) + "em";
+    // We'd like to use `vertical-align: top` but in IE 9 this lowers the
+    // baseline of the box to the bottom of this strut (instead staying in the
+    // normal place) so we use an absolute value for vertical-align instead
+    bottomStrut.style.verticalAlign = -body.depth + "em";
+
+    // Wrap the struts and body together
+    var htmlNode = makeSpan(["katex-html"], [topStrut, bottomStrut, body]);
+
+    htmlNode.setAttribute("aria-hidden", "true");
+
+    return htmlNode;
+};
+
+module.exports = buildHTML;

katex/src/buildMathML.js

@@ -0,0 +1,533 @@
+/**
+ * This file converts a parse tree into a cooresponding MathML tree. The main
+ * entry point is the `buildMathML` function, which takes a parse tree from the
+ * parser.
+ */
+
+var buildCommon = require("./buildCommon");
+var fontMetrics = require("./fontMetrics");
+var mathMLTree = require("./mathMLTree");
+var ParseError = require("./ParseError");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var makeSpan = buildCommon.makeSpan;
+var fontMap = buildCommon.fontMap;
+
+/**
+ * Takes a symbol and converts it into a MathML text node after performing
+ * optional replacement from symbols.js.
+ */
+var makeText = function(text, mode) {
+    if (symbols[mode][text] && symbols[mode][text].replace) {
+        text = symbols[mode][text].replace;
+    }
+
+    return new mathMLTree.TextNode(text);
+};
+
+/**
+ * Returns the math variant as a string or null if none is required.
+ */
+var getVariant = function(group, options) {
+    var font = options.font;
+    if (!font) {
+        return null;
+    }
+
+    var mode = group.mode;
+    if (font === "mathit") {
+        return "italic";
+    }
+
+    var value = group.value;
+    if (utils.contains(["\\imath", "\\jmath"], value)) {
+        return null;
+    }
+
+    if (symbols[mode][value] && symbols[mode][value].replace) {
+        value = symbols[mode][value].replace;
+    }
+
+    var fontName = fontMap[font].fontName;
+    if (fontMetrics.getCharacterMetrics(value, fontName)) {
+        return fontMap[options.font].variant;
+    }
+
+    return null;
+};
+
+/**
+ * Functions for handling the different types of groups found in the parse
+ * tree. Each function should take a parse group and return a MathML node.
+ */
+var groupTypes = {};
+
+groupTypes.mathord = function(group, options) {
+    var node = new mathMLTree.MathNode(
+        "mi",
+        [makeText(group.value, group.mode)]);
+
+    var variant = getVariant(group, options);
+    if (variant) {
+        node.setAttribute("mathvariant", variant);
+    }
+    return node;
+};
+
+groupTypes.textord = function(group, options) {
+    var text = makeText(group.value, group.mode);
+
+    var variant = getVariant(group, options) || "normal";
+
+    var node;
+    if (/[0-9]/.test(group.value)) {
+        // TODO(kevinb) merge adjacent <mn> nodes
+        // do it as a post processing step
+        node = new mathMLTree.MathNode("mn", [text]);
+        if (options.font) {
+            node.setAttribute("mathvariant", variant);
+        }
+    } else {
+        node = new mathMLTree.MathNode("mi", [text]);
+        node.setAttribute("mathvariant", variant);
+    }
+
+    return node;
+};
+
+groupTypes.bin = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mo", [makeText(group.value, group.mode)]);
+
+    return node;
+};
+
+groupTypes.rel = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mo", [makeText(group.value, group.mode)]);
+
+    return node;
+};
+
+groupTypes.open = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mo", [makeText(group.value, group.mode)]);
+
+    return node;
+};
+
+groupTypes.close = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mo", [makeText(group.value, group.mode)]);
+
+    return node;
+};
+
+groupTypes.inner = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mo", [makeText(group.value, group.mode)]);
+
+    return node;
+};
+
+groupTypes.punct = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mo", [makeText(group.value, group.mode)]);
+
+    node.setAttribute("separator", "true");
+
+    return node;
+};
+
+groupTypes.ordgroup = function(group, options) {
+    var inner = buildExpression(group.value, options);
+
+    var node = new mathMLTree.MathNode("mrow", inner);
+
+    return node;
+};
+
+groupTypes.text = function(group, options) {
+    var inner = buildExpression(group.value.body, options);
+
+    var node = new mathMLTree.MathNode("mtext", inner);
+
+    return node;
+};
+
+groupTypes.color = function(group, options) {
+    var inner = buildExpression(group.value.value, options);
+
+    var node = new mathMLTree.MathNode("mstyle", inner);
+
+    node.setAttribute("mathcolor", group.value.color);
+
+    return node;
+};
+
+groupTypes.supsub = function(group, options) {
+    var children = [buildGroup(group.value.base, options)];
+
+    if (group.value.sub) {
+        children.push(buildGroup(group.value.sub, options));
+    }
+
+    if (group.value.sup) {
+        children.push(buildGroup(group.value.sup, options));
+    }
+
+    var nodeType;
+    if (!group.value.sub) {
+        nodeType = "msup";
+    } else if (!group.value.sup) {
+        nodeType = "msub";
+    } else {
+        nodeType = "msubsup";
+    }
+
+    var node = new mathMLTree.MathNode(nodeType, children);
+
+    return node;
+};
+
+groupTypes.genfrac = function(group, options) {
+    var node = new mathMLTree.MathNode(
+        "mfrac",
+        [buildGroup(group.value.numer, options),
+         buildGroup(group.value.denom, options)]);
+
+    if (!group.value.hasBarLine) {
+        node.setAttribute("linethickness", "0px");
+    }
+
+    if (group.value.leftDelim != null || group.value.rightDelim != null) {
+        var withDelims = [];
+
+        if (group.value.leftDelim != null) {
+            var leftOp = new mathMLTree.MathNode(
+                "mo", [new mathMLTree.TextNode(group.value.leftDelim)]);
+
+            leftOp.setAttribute("fence", "true");
+
+            withDelims.push(leftOp);
+        }
+
+        withDelims.push(node);
+
+        if (group.value.rightDelim != null) {
+            var rightOp = new mathMLTree.MathNode(
+                "mo", [new mathMLTree.TextNode(group.value.rightDelim)]);
+
+            rightOp.setAttribute("fence", "true");
+
+            withDelims.push(rightOp);
+        }
+
+        var outerNode = new mathMLTree.MathNode("mrow", withDelims);
+
+        return outerNode;
+    }
+
+    return node;
+};
+
+groupTypes.array = function(group, options) {
+    return new mathMLTree.MathNode(
+        "mtable", group.value.body.map(function(row) {
+            return new mathMLTree.MathNode(
+                "mtr", row.map(function(cell) {
+                    return new mathMLTree.MathNode(
+                        "mtd", [buildGroup(cell, options)]);
+                }));
+        }));
+};
+
+groupTypes.sqrt = function(group, options) {
+    var node;
+    if (group.value.index) {
+        node = new mathMLTree.MathNode(
+            "mroot", [
+                buildGroup(group.value.body, options),
+                buildGroup(group.value.index, options),
+            ]);
+    } else {
+        node = new mathMLTree.MathNode(
+            "msqrt", [buildGroup(group.value.body, options)]);
+    }
+
+    return node;
+};
+
+groupTypes.leftright = function(group, options) {
+    var inner = buildExpression(group.value.body, options);
+
+    if (group.value.left !== ".") {
+        var leftNode = new mathMLTree.MathNode(
+            "mo", [makeText(group.value.left, group.mode)]);
+
+        leftNode.setAttribute("fence", "true");
+
+        inner.unshift(leftNode);
+    }
+
+    if (group.value.right !== ".") {
+        var rightNode = new mathMLTree.MathNode(
+            "mo", [makeText(group.value.right, group.mode)]);
+
+        rightNode.setAttribute("fence", "true");
+
+        inner.push(rightNode);
+    }
+
+    var outerNode = new mathMLTree.MathNode("mrow", inner);
+
+    return outerNode;
+};
+
+groupTypes.accent = function(group, options) {
+    var accentNode = new mathMLTree.MathNode(
+        "mo", [makeText(group.value.accent, group.mode)]);
+
+    var node = new mathMLTree.MathNode(
+        "mover",
+        [buildGroup(group.value.base, options),
+         accentNode]);
+
+    node.setAttribute("accent", "true");
+
+    return node;
+};
+
+groupTypes.spacing = function(group) {
+    var node;
+
+    if (group.value === "\\ " || group.value === "\\space" ||
+        group.value === " " || group.value === "~") {
+        node = new mathMLTree.MathNode(
+            "mtext", [new mathMLTree.TextNode("\u00a0")]);
+    } else {
+        node = new mathMLTree.MathNode("mspace");
+
+        node.setAttribute(
+            "width", buildCommon.spacingFunctions[group.value].size);
+    }
+
+    return node;
+};
+
+groupTypes.op = function(group) {
+    var node;
+
+    // TODO(emily): handle big operators using the `largeop` attribute
+
+    if (group.value.symbol) {
+        // This is a symbol. Just add the symbol.
+        node = new mathMLTree.MathNode(
+            "mo", [makeText(group.value.body, group.mode)]);
+    } else {
+        // This is a text operator. Add all of the characters from the
+        // operator's name.
+        // TODO(emily): Add a space in the middle of some of these
+        // operators, like \limsup.
+        node = new mathMLTree.MathNode(
+            "mi", [new mathMLTree.TextNode(group.value.body.slice(1))]);
+    }
+
+    return node;
+};
+
+groupTypes.katex = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mtext", [new mathMLTree.TextNode("KaTeX")]);
+
+    return node;
+};
+
+groupTypes.font = function(group, options) {
+    var font = group.value.font;
+    return buildGroup(group.value.body, options.withFont(font));
+};
+
+groupTypes.delimsizing = function(group) {
+    var children = [];
+
+    if (group.value.value !== ".") {
+        children.push(makeText(group.value.value, group.mode));
+    }
+
+    var node = new mathMLTree.MathNode("mo", children);
+
+    if (group.value.delimType === "open" ||
+        group.value.delimType === "close") {
+        // Only some of the delimsizing functions act as fences, and they
+        // return "open" or "close" delimTypes.
+        node.setAttribute("fence", "true");
+    } else {
+        // Explicitly disable fencing if it's not a fence, to override the
+        // defaults.
+        node.setAttribute("fence", "false");
+    }
+
+    return node;
+};
+
+groupTypes.styling = function(group, options) {
+    var inner = buildExpression(group.value.value, options);
+
+    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.value.style];
+
+    node.setAttribute("scriptlevel", attr[0]);
+    node.setAttribute("displaystyle", attr[1]);
+
+    return node;
+};
+
+groupTypes.sizing = function(group, options) {
+    var inner = buildExpression(group.value.value, options);
+
+    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", buildCommon.sizingMultiplier[group.value.size] + "em");
+
+    return node;
+};
+
+groupTypes.overline = function(group, options) {
+    var operator = new mathMLTree.MathNode(
+        "mo", [new mathMLTree.TextNode("\u203e")]);
+    operator.setAttribute("stretchy", "true");
+
+    var node = new mathMLTree.MathNode(
+        "mover",
+        [buildGroup(group.value.body, options),
+         operator]);
+    node.setAttribute("accent", "true");
+
+    return node;
+};
+
+groupTypes.underline = function(group, options) {
+    var operator = new mathMLTree.MathNode(
+        "mo", [new mathMLTree.TextNode("\u203e")]);
+    operator.setAttribute("stretchy", "true");
+
+    var node = new mathMLTree.MathNode(
+        "munder",
+        [buildGroup(group.value.body, options),
+         operator]);
+    node.setAttribute("accentunder", "true");
+
+    return node;
+};
+
+groupTypes.rule = function(group) {
+    // TODO(emily): Figure out if there's an actual way to draw black boxes
+    // in MathML.
+    var node = new mathMLTree.MathNode("mrow");
+
+    return node;
+};
+
+groupTypes.llap = function(group, options) {
+    var node = new mathMLTree.MathNode(
+        "mpadded", [buildGroup(group.value.body, options)]);
+
+    node.setAttribute("lspace", "-1width");
+    node.setAttribute("width", "0px");
+
+    return node;
+};
+
+groupTypes.rlap = function(group, options) {
+    var node = new mathMLTree.MathNode(
+        "mpadded", [buildGroup(group.value.body, options)]);
+
+    node.setAttribute("width", "0px");
+
+    return node;
+};
+
+groupTypes.phantom = function(group, options, prev) {
+    var inner = buildExpression(group.value.value, options);
+    return new mathMLTree.MathNode("mphantom", inner);
+};
+
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes. A little simpler than the HTML version because we don't do any
+ * previous-node handling.
+ */
+var buildExpression = function(expression, options) {
+    var groups = [];
+    for (var i = 0; i < expression.length; i++) {
+        var group = expression[i];
+        groups.push(buildGroup(group, options));
+    }
+    return groups;
+};
+
+/**
+ * Takes a group from the parser and calls the appropriate groupTypes function
+ * on it to produce a MathML node.
+ */
+var buildGroup = function(group, options) {
+    if (!group) {
+        return new mathMLTree.MathNode("mrow");
+    }
+
+    if (groupTypes[group.type]) {
+        // Call the groupTypes function
+        return groupTypes[group.type](group, options);
+    } 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.
+ */
+var buildMathML = function(tree, texExpression, options) {
+    var expression = buildExpression(tree, options);
+
+    // Wrap up the expression in an mrow so it is presented in the semantics
+    // tag correctly.
+    var 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]);
+
+    // You can't style <math> nodes, so we wrap the node in a span.
+    return makeSpan(["katex-mathml"], [math]);
+};
+
+module.exports = buildMathML;

katex/src/buildTree.js

@@ -0,0 +1,40 @@
+var buildHTML = require("./buildHTML");
+var buildMathML = require("./buildMathML");
+var buildCommon = require("./buildCommon");
+var Options = require("./Options");
+var Settings = require("./Settings");
+var Style = require("./Style");
+
+var makeSpan = buildCommon.makeSpan;
+
+var buildTree = function(tree, expression, settings) {
+    settings = settings || new Settings({});
+
+    var startStyle = Style.TEXT;
+    if (settings.displayMode) {
+        startStyle = Style.DISPLAY;
+    }
+
+    // Setup the default options
+    var options = new Options({
+        style: startStyle,
+        size: "size5",
+    });
+
+    // `buildHTML` sometimes messes with the parse tree (like turning bins ->
+    // ords), so we build the MathML version first.
+    var mathMLNode = buildMathML(tree, expression, options);
+    var htmlNode = buildHTML(tree, options);
+
+    var katexNode = makeSpan(["katex"], [
+        mathMLNode, htmlNode,
+    ]);
+
+    if (settings.displayMode) {
+        return makeSpan(["katex-display"], [katexNode]);
+    } else {
+        return katexNode;
+    }
+};
+
+module.exports = buildTree;

katex/src/delimiter.js

@@ -0,0 +1,542 @@
+/**
+ * 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`.
+ */
+
+var ParseError = require("./ParseError");
+var Style = require("./Style");
+
+var buildCommon = require("./buildCommon");
+var fontMetrics = require("./fontMetrics");
+var symbols = require("./symbols");
+var utils = require("./utils");
+
+var makeSpan = buildCommon.makeSpan;
+
+/**
+ * Get the metrics for a given symbol and font, after transformation (i.e.
+ * after following replacement from symbols.js)
+ */
+var getMetrics = function(symbol, font) {
+    if (symbols.math[symbol] && symbols.math[symbol].replace) {
+        return fontMetrics.getCharacterMetrics(
+            symbols.math[symbol].replace, font);
+    } else {
+        return fontMetrics.getCharacterMetrics(
+            symbol, font);
+    }
+};
+
+/**
+ * Builds a symbol in the given font size (note size is an integer)
+ */
+var mathrmSize = function(value, size, mode) {
+    return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode);
+};
+
+/**
+ * Puts a delimiter span in a given style, and adds appropriate height, depth,
+ * and maxFontSizes.
+ */
+var styleWrap = function(delim, toStyle, options) {
+    var span = makeSpan(
+        ["style-wrap", options.style.reset(), toStyle.cls()], [delim]);
+
+    var multiplier = toStyle.sizeMultiplier / options.style.sizeMultiplier;
+
+    span.height *= multiplier;
+    span.depth *= multiplier;
+    span.maxFontSize = toStyle.sizeMultiplier;
+
+    return span;
+};
+
+/**
+ * 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(delim, style, center, options, mode) {
+    var text = buildCommon.makeSymbol(delim, "Main-Regular", mode);
+
+    var span = styleWrap(text, style, options);
+
+    if (center) {
+        var shift =
+            (1 - options.style.sizeMultiplier / style.sizeMultiplier) *
+            fontMetrics.metrics.axisHeight;
+
+        span.style.top = shift + "em";
+        span.height -= shift;
+        span.depth += shift;
+    }
+
+    return span;
+};
+
+/**
+ * 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(delim, size, center, options, mode) {
+    var inner = mathrmSize(delim, size, mode);
+
+    var span = styleWrap(
+        makeSpan(["delimsizing", "size" + size],
+                 [inner], options.getColor()),
+        Style.TEXT, options);
+
+    if (center) {
+        var shift = (1 - options.style.sizeMultiplier) *
+            fontMetrics.metrics.axisHeight;
+
+        span.style.top = shift + "em";
+        span.height -= shift;
+        span.depth += shift;
+    }
+
+    return span;
+};
+
+/**
+ * Make an inner span with the given offset and in the given font. This is used
+ * in `makeStackedDelim` to make the stacking pieces for the delimiter.
+ */
+var makeInner = function(symbol, font, mode) {
+    var sizeClass;
+    // Apply the correct CSS class to choose the right font.
+    if (font === "Size1-Regular") {
+        sizeClass = "delim-size1";
+    } else if (font === "Size4-Regular") {
+        sizeClass = "delim-size4";
+    }
+
+    var inner = makeSpan(
+        ["delimsizinginner", sizeClass],
+        [makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]);
+
+    // Since this will be passed into `makeVList` in the end, wrap the element
+    // in the appropriate tag that VList uses.
+    return {type: "elem", elem: inner};
+};
+
+/**
+ * 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(delim, heightTotal, center, options, mode) {
+    // There are four parts, the top, an optional middle, a repeated part, and a
+    // bottom.
+    var top;
+    var middle;
+    var repeat;
+    var bottom;
+    top = repeat = bottom = delim;
+    middle = null;
+    // Also keep track of what font the delimiters are in
+    var font = "Size1-Regular";
+
+    // We set the parts and font based on the symbol. Note that we use
+    // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the
+    // repeats of the arrows
+    if (delim === "\\uparrow") {
+        repeat = bottom = "\u23d0";
+    } else if (delim === "\\Uparrow") {
+        repeat = bottom = "\u2016";
+    } else if (delim === "\\downarrow") {
+        top = repeat = "\u23d0";
+    } else if (delim === "\\Downarrow") {
+        top = repeat = "\u2016";
+    } else if (delim === "\\updownarrow") {
+        top = "\\uparrow";
+        repeat = "\u23d0";
+        bottom = "\\downarrow";
+    } else if (delim === "\\Updownarrow") {
+        top = "\\Uparrow";
+        repeat = "\u2016";
+        bottom = "\\Downarrow";
+    } else if (delim === "[" || delim === "\\lbrack") {
+        top = "\u23a1";
+        repeat = "\u23a2";
+        bottom = "\u23a3";
+        font = "Size4-Regular";
+    } else if (delim === "]" || delim === "\\rbrack") {
+        top = "\u23a4";
+        repeat = "\u23a5";
+        bottom = "\u23a6";
+        font = "Size4-Regular";
+    } else if (delim === "\\lfloor") {
+        repeat = top = "\u23a2";
+        bottom = "\u23a3";
+        font = "Size4-Regular";
+    } else if (delim === "\\lceil") {
+        top = "\u23a1";
+        repeat = bottom = "\u23a2";
+        font = "Size4-Regular";
+    } else if (delim === "\\rfloor") {
+        repeat = top = "\u23a5";
+        bottom = "\u23a6";
+        font = "Size4-Regular";
+    } else if (delim === "\\rceil") {
+        top = "\u23a4";
+        repeat = bottom = "\u23a5";
+        font = "Size4-Regular";
+    } else if (delim === "(") {
+        top = "\u239b";
+        repeat = "\u239c";
+        bottom = "\u239d";
+        font = "Size4-Regular";
+    } else if (delim === ")") {
+        top = "\u239e";
+        repeat = "\u239f";
+        bottom = "\u23a0";
+        font = "Size4-Regular";
+    } else if (delim === "\\{" || delim === "\\lbrace") {
+        top = "\u23a7";
+        middle = "\u23a8";
+        bottom = "\u23a9";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\}" || delim === "\\rbrace") {
+        top = "\u23ab";
+        middle = "\u23ac";
+        bottom = "\u23ad";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\lgroup") {
+        top = "\u23a7";
+        bottom = "\u23a9";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\rgroup") {
+        top = "\u23ab";
+        bottom = "\u23ad";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\lmoustache") {
+        top = "\u23a7";
+        bottom = "\u23ad";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\rmoustache") {
+        top = "\u23ab";
+        bottom = "\u23a9";
+        repeat = "\u23aa";
+        font = "Size4-Regular";
+    } else if (delim === "\\surd") {
+        top = "\ue001";
+        bottom = "\u23b7";
+        repeat = "\ue000";
+        font = "Size4-Regular";
+    }
+
+    // Get the metrics of the four sections
+    var topMetrics = getMetrics(top, font);
+    var topHeightTotal = topMetrics.height + topMetrics.depth;
+    var repeatMetrics = getMetrics(repeat, font);
+    var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
+    var bottomMetrics = getMetrics(bottom, font);
+    var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
+    var middleHeightTotal = 0;
+    var middleFactor = 1;
+    if (middle !== null) {
+        var middleMetrics = getMetrics(middle, font);
+        middleHeightTotal = middleMetrics.height + middleMetrics.depth;
+        middleFactor = 2; // repeat symmetrically above and below middle
+    }
+
+    // Calcuate the minimal height that the delimiter can have.
+    // It is at least the size of the top, bottom, and optional middle combined.
+    var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal;
+
+    // Compute the number of copies of the repeat symbol we will need
+    var repeatCount = Math.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 = fontMetrics.metrics.axisHeight;
+    if (center) {
+        axisHeight *= options.style.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 inner pieces
+    var inners = [];
+
+    // Add the bottom symbol
+    inners.push(makeInner(bottom, font, mode));
+
+    var i;
+    if (middle === null) {
+        // Add that many symbols
+        for (i = 0; i < repeatCount; i++) {
+            inners.push(makeInner(repeat, font, mode));
+        }
+    } else {
+        // When there is a middle bit, we need the middle part and two repeated
+        // sections
+        for (i = 0; i < repeatCount; i++) {
+            inners.push(makeInner(repeat, font, mode));
+        }
+        inners.push(makeInner(middle, font, mode));
+        for (i = 0; i < repeatCount; i++) {
+            inners.push(makeInner(repeat, font, mode));
+        }
+    }
+
+    // Add the top symbol
+    inners.push(makeInner(top, font, mode));
+
+    // Finally, build the vlist
+    var inner = buildCommon.makeVList(inners, "bottom", depth, options);
+
+    return styleWrap(
+        makeSpan(["delimsizing", "mult"], [inner], options.getColor()),
+        Style.TEXT, options);
+};
+
+// There are three kinds of delimiters, delimiters that stack when they become
+// too large
+var stackLargeDelimiters = [
+    "(", ")", "[", "\\lbrack", "]", "\\rbrack",
+    "\\{", "\\lbrace", "\\}", "\\rbrace",
+    "\\lfloor", "\\rfloor", "\\lceil", "\\rceil",
+    "\\surd",
+];
+
+// delimiters that always stack
+var stackAlwaysDelimiters = [
+    "\\uparrow", "\\downarrow", "\\updownarrow",
+    "\\Uparrow", "\\Downarrow", "\\Updownarrow",
+    "|", "\\|", "\\vert", "\\Vert",
+    "\\lvert", "\\rvert", "\\lVert", "\\rVert",
+    "\\lgroup", "\\rgroup", "\\lmoustache", "\\rmoustache",
+];
+
+// 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(delim, size, options, mode) {
+    // < and > turn into \langle and \rangle in delimiters
+    if (delim === "<" || delim === "\\lt") {
+        delim = "\\langle";
+    } else if (delim === ">" || delim === "\\gt") {
+        delim = "\\rangle";
+    }
+
+    // Sized delimiters are never centered.
+    if (utils.contains(stackLargeDelimiters, delim) ||
+        utils.contains(stackNeverDelimiters, delim)) {
+        return makeLargeDelim(delim, size, false, options, mode);
+    } else if (utils.contains(stackAlwaysDelimiters, delim)) {
+        return makeStackedDelim(
+            delim, sizeToMaxHeight[size], false, options, mode);
+    } 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.SCRIPTSCRIPT},
+    {type: "small", style: Style.SCRIPT},
+    {type: "small", style: 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: Style.SCRIPTSCRIPT},
+    {type: "small", style: Style.SCRIPT},
+    {type: "small", style: Style.TEXT},
+    {type: "stack"},
+];
+
+// Delimiters that stack when large try the small and then large delimiters, and
+// stack afterwards
+var stackLargeDelimiterSequence = [
+    {type: "small", style: Style.SCRIPTSCRIPT},
+    {type: "small", style: Style.SCRIPT},
+    {type: "small", style: 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.
+ */
+var delimTypeToFont = function(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";
+    }
+};
+
+/**
+ * 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(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]));
+        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") {
+            heightDepth *= sequence[i].style.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(delim, height, center, options, mode) {
+    if (delim === "<" || delim === "\\lt") {
+        delim = "\\langle";
+    } else if (delim === ">" || delim === "\\gt") {
+        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);
+
+    // Depending on the sequence element we decided on, call the appropriate
+    // function.
+    if (delimType.type === "small") {
+        return makeSmallDelim(delim, delimType.style, center, options, mode);
+    } else if (delimType.type === "large") {
+        return makeLargeDelim(delim, delimType.size, center, options, mode);
+    } else if (delimType.type === "stack") {
+        return makeStackedDelim(delim, height, center, options, mode);
+    }
+};
+
+/**
+ * Make a delimiter for use with `\left` and `\right`, given a height and depth
+ * of an expression that the delimiters surround.
+ */
+var makeLeftRightDelim = function(delim, height, depth, options, mode) {
+    // We always center \left/\right delimiters, so the axis is always shifted
+    var axisHeight =
+        fontMetrics.metrics.axisHeight * options.style.sizeMultiplier;
+
+    // Taken from TeX source, tex.web, function make_left_right
+    var delimiterFactor = 901;
+    var delimiterExtend = 5.0 / fontMetrics.metrics.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);
+};
+
+module.exports = {
+    sizedDelim: makeSizedDelim,
+    customSizedDelim: makeCustomSizedDelim,
+    leftRightDelim: makeLeftRightDelim,
+};

katex/src/domTree.js

@@ -0,0 +1,269 @@
+/**
+ * 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.
+ */
+
+var utils = require("./utils");
+
+/**
+ * Create an HTML className based on a list of classes. In addition to joining
+ * with spaces, we also remove null or empty classes.
+ */
+var createClass = function(classes) {
+    classes = classes.slice();
+    for (var i = classes.length - 1; i >= 0; i--) {
+        if (!classes[i]) {
+            classes.splice(i, 1);
+        }
+    }
+
+    return classes.join(" ");
+};
+
+/**
+ * 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.
+ */
+function span(classes, children, height, depth, maxFontSize, style) {
+    this.classes = classes || [];
+    this.children = children || [];
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.maxFontSize = maxFontSize || 0;
+    this.style = style || {};
+    this.attributes = {};
+}
+
+/**
+ * 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.
+ */
+span.prototype.setAttribute = function(attribute, value) {
+    this.attributes[attribute] = value;
+};
+
+/**
+ * Convert the span into an HTML node
+ */
+span.prototype.toNode = function() {
+    var span = document.createElement("span");
+
+    // Apply the class
+    span.className = createClass(this.classes);
+
+    // Apply inline styles
+    for (var style in this.style) {
+        if (Object.prototype.hasOwnProperty.call(this.style, style)) {
+            span.style[style] = this.style[style];
+        }
+    }
+
+    // Apply attributes
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            span.setAttribute(attr, this.attributes[attr]);
+        }
+    }
+
+    // Append the children, also as HTML nodes
+    for (var i = 0; i < this.children.length; i++) {
+        span.appendChild(this.children[i].toNode());
+    }
+
+    return span;
+};
+
+/**
+ * Convert the span into an HTML markup string
+ */
+span.prototype.toMarkup = function() {
+    var markup = "<span";
+
+    // Add the class
+    if (this.classes.length) {
+        markup += " class=\"";
+        markup += utils.escape(createClass(this.classes));
+        markup += "\"";
+    }
+
+    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 (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            markup += " " + attr + "=\"";
+            markup += utils.escape(this.attributes[attr]);
+            markup += "\"";
+        }
+    }
+
+    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 += "</span>";
+
+    return markup;
+};
+
+/**
+ * This node represents a document fragment, which contains elements, but when
+ * placed into the DOM doesn't have any representation itself. Thus, it only
+ * contains children and doesn't have any HTML properties. It also keeps track
+ * of a height, depth, and maxFontSize.
+ */
+function documentFragment(children, height, depth, maxFontSize) {
+    this.children = children || [];
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.maxFontSize = maxFontSize || 0;
+}
+
+/**
+ * Convert the fragment into a node
+ */
+documentFragment.prototype.toNode = function() {
+    // Create a fragment
+    var frag = document.createDocumentFragment();
+
+    // Append the children
+    for (var i = 0; i < this.children.length; i++) {
+        frag.appendChild(this.children[i].toNode());
+    }
+
+    return frag;
+};
+
+/**
+ * Convert the fragment into HTML markup
+ */
+documentFragment.prototype.toMarkup = function() {
+    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;
+};
+
+/**
+ * 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.
+ */
+function symbolNode(value, height, depth, italic, skew, classes, style) {
+    this.value = value || "";
+    this.height = height || 0;
+    this.depth = depth || 0;
+    this.italic = italic || 0;
+    this.skew = skew || 0;
+    this.classes = classes || [];
+    this.style = style || {};
+    this.maxFontSize = 0;
+}
+
+/**
+ * Creates a text node or span from a symbol node. Note that a span is only
+ * created if it is needed.
+ */
+symbolNode.prototype.toNode = function() {
+    var node = document.createTextNode(this.value);
+    var span = null;
+
+    if (this.italic > 0) {
+        span = document.createElement("span");
+        span.style.marginRight = this.italic + "em";
+    }
+
+    if (this.classes.length > 0) {
+        span = span || document.createElement("span");
+        span.className = createClass(this.classes);
+    }
+
+    for (var style in this.style) {
+        if (this.style.hasOwnProperty(style)) {
+            span = span || document.createElement("span");
+            span.style[style] = this.style[style];
+        }
+    }
+
+    if (span) {
+        span.appendChild(node);
+        return span;
+    } else {
+        return node;
+    }
+};
+
+/**
+ * Creates markup for a symbol node.
+ */
+symbolNode.prototype.toMarkup = function() {
+    // 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.value);
+    if (needsSpan) {
+        markup += ">";
+        markup += escaped;
+        markup += "</span>";
+        return markup;
+    } else {
+        return escaped;
+    }
+};
+
+module.exports = {
+    span: span,
+    documentFragment: documentFragment,
+    symbolNode: symbolNode,
+};

katex/src/environments.js

@@ -0,0 +1,298 @@
+/* eslint no-constant-condition:0 */
+var fontMetrics = require("./fontMetrics");
+var parseData = require("./parseData");
+var ParseError = require("./ParseError");
+
+var ParseNode = parseData.ParseNode;
+
+/**
+ * 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.
+ */
+var q = 0 ;
+function parseArray(parser, result) {
+    var row = [];
+    var body = [row];
+    var rowGaps = [];
+
+    while (true) {
+        
+        // if (q == 1) console.error(parser.nextToken.text);
+        try {
+            var cell = parser.parseExpression(false, null);
+        } catch (e) {
+            // console.error(e);
+            exit();
+        }
+        // if (q == 1) exit();
+        row.push(new ParseNode("ordgroup", cell, parser.mode));
+        var next = parser.nextToken.text;
+        if (next === "&") {
+            parser.consume();
+        } else if (next === "\\end" || next == "}") {
+            break;
+        } else if (next === "\\\\" || next === "\\cr") {
+            var cr = parser.parseFunction();
+            rowGaps.push(cr.value.size);
+            row = [];
+            body.push(row);
+        } else {
+            // TODO: Clean up the following hack once #385 got merged
+            var pos = Math.min(parser.pos + 1, parser.lexer._input.length);
+            throw new ParseError("Expected & or \\\\ or \\end",
+                                 parser.lexer, pos);
+        }
+    }
+    result.body = body;
+    result.rowGaps = rowGaps;
+    // if (q == 1) exit();
+    var node = new ParseNode(result.type, result, parser.mode);
+    return node;
+}
+
+/*
+ * An environment definition is very similar to a function definition:
+ * it is declared with a name or a list of names, a set of properties
+ * and a handler containing the actual implementation.
+ *
+ * The properties include:
+ *  - numArgs: The number of arguments after the \begin{name} function.
+ *  - argTypes: (optional) Just like for a function
+ *  - allowedInText: (optional) Whether or not the environment is allowed inside
+ *                   text mode (default false) (not enforced yet)
+ *  - numOptionalArgs: (optional) Just like for a function
+ * A bare number instead of that object indicates the numArgs value.
+ *
+ * The handler function will receive two arguments
+ *  - context: information and references provided by the parser
+ *  - args: an array of arguments passed to \begin{name}
+ * The context contains the following properties:
+ *  - envName: the name of the environment, one of the listed names.
+ *  - parser: the parser object
+ *  - lexer: the lexer object
+ *  - positions: the positions associated with these arguments from args.
+ * The handler must return a ParseResult.
+ */
+
+function defineEnvironment(names, props, handler) {
+    if (typeof names === "string") {
+        names = [names];
+    }
+    if (typeof props === "number") {
+        props = { numArgs: props };
+    }
+    // Set default values of environments
+    var data = {
+        numArgs: props.numArgs || 0,
+        argTypes: props.argTypes,
+        greediness: 1,
+        allowedInText: !!props.allowedInText,
+        numOptionalArgs: props.numOptionalArgs || 0,
+        handler: handler,
+    };
+    for (var i = 0; i < names.length; ++i) {
+        module.exports[names[i]] = data;
+    }
+}
+
+// Arrays are part of LaTeX, defined in lttab.dtx so its documentation
+// is part of the source2e.pdf file of LaTeX2e source documentation.
+defineEnvironment("array", {
+    numArgs: 1,
+}, function(context, args) {
+    var colalign = args[0];
+    colalign = colalign.value.map ? colalign.value : [colalign];
+    var cols = colalign.map(function(node) {
+        var ca = node.value;
+        if ("lcr".indexOf(ca) !== -1) {
+            return {
+                type: "align",
+                align: ca,
+            };
+        } else if (ca === "|") {
+            return {
+                type: "separator",
+                separator: "|",
+            };
+        }
+        // throw new ParseError(
+        //     "Unknown column alignment: " + node.value,
+        //     context.lexer, context.positions[1]);
+    });
+    var res = {
+        type: "array",
+        style: "array",
+        cols: cols,
+        hskipBeforeAndAfter: true, // \@preamble in lttab.dtx
+    };
+    res = parseArray(context.parser, res);
+    return res;
+});
+
+defineEnvironment("tabular", {
+    numArgs: 1,
+}, function(context, args) {
+    var colalign = args[0];
+    colalign = colalign.value.map ? colalign.value : [colalign];
+    var cols = colalign.map(function(node) {
+        var ca = node.value;
+        if ("lcr".indexOf(ca) !== -1) {
+            return {
+                type: "align",
+                align: ca,
+            };
+        } else if (ca === "|") {
+            return {
+                type: "separator",
+                separator: "|",
+            };
+        }
+        // throw new ParseError(
+        //     "Unknown column alignment: " + node.value,
+        //     context.lexer, context.positions[1]);
+    });
+    var res = {
+        type: "array",
+        style: "tabular",
+        cols: cols,
+        hskipBeforeAndAfter: true, // \@preamble in lttab.dtx
+    };
+    res = parseArray(context.parser, res);
+    return res;
+});
+
+// The matrix environments of amsmath builds on the array environment
+// of LaTeX, which is discussed above.
+defineEnvironment([
+    "matrix",
+    "pmatrix",
+    "bmatrix",
+    "Bmatrix",
+    "vmatrix",
+    "Vmatrix",
+], {
+}, function(context) {
+    var delimiters = {
+        "matrix": null,
+        "pmatrix": ["(", ")"],
+        "bmatrix": ["[", "]"],
+        "Bmatrix": ["\\{", "\\}"],
+        "vmatrix": ["|", "|"],
+        "Vmatrix": ["\\Vert", "\\Vert"],
+    }[context.envName];
+    var res = {
+        type: "array",
+        style: "matrix",
+        hskipBeforeAndAfter: false, // \hskip -\arraycolsep in amsmath
+    };
+    q = 1;
+    res = parseArray(context.parser, res);
+
+    if (delimiters) {
+        res = new ParseNode("leftright", {
+            body: [res],
+            left: delimiters[0],
+            right: delimiters[1],
+        }, context.mode);
+    }
+    return res;
+});
+
+// A cases environment (in amsmath.sty) is almost equivalent to
+// \def\arraystretch{1.2}%
+// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
+defineEnvironment("picture", {
+}, function(context) {
+    var res = {
+        type: "array",
+        style: "picture",
+        arraystretch: 1.2,
+        cols: [{
+            type: "align",
+            align: "l",
+            pregap: 0,
+            postgap: fontMetrics.metrics.quad,
+        }, {
+            type: "align",
+            align: "l",
+            pregap: 0,
+            postgap: 0,
+        }],
+    };
+    res = parseArray(context.parser, res);
+    res = new ParseNode("leftright", {
+        body: [res],
+        left: "\\{",
+        right: ".",
+    }, context.mode);
+    return res;
+});
+
+defineEnvironment("cases", {
+}, function(context) {
+    var res = {
+        type: "array",
+        style: "cases",
+        arraystretch: 1.2,
+        cols: [{
+            type: "align",
+            align: "l",
+            pregap: 0,
+            postgap: fontMetrics.metrics.quad,
+        }, {
+            type: "align",
+            align: "l",
+            pregap: 0,
+            postgap: 0,
+        }],
+    };
+    res = parseArray(context.parser, res);
+    res = new ParseNode("leftright", {
+        body: [res],
+        left: "\\{",
+        right: ".",
+    }, context.mode);
+    return res;
+});
+
+// An aligned environment is like the align* environment
+// except it operates within math mode.
+// Note that we assume \nomallineskiplimit to be zero,
+// so that \strut@ is the same as \strut.
+defineEnvironment("aligned", {
+}, function(context) {
+    var res = {
+        type: "array",
+        style: "aligned",
+        cols: [],
+    };
+    res = parseArray(context.parser, res);
+    var emptyGroup = new ParseNode("ordgroup", [], context.mode);
+    var numCols = 0;
+    res.value.body.forEach(function(row) {
+        var i;
+        for (i = 1; i < row.length; i += 2) {
+            row[i].value.unshift(emptyGroup);
+        }
+        if (numCols < row.length) {
+            numCols = row.length;
+        }
+    });
+    for (var i = 0; i < numCols; ++i) {
+        var align = "r";
+        var pregap = 0;
+        if (i % 2 === 1) {
+            align = "l";
+        } else if (i > 0) {
+            pregap = 2; // one \qquad between columns
+        }
+        res.value.cols[i] = {
+            type: "align",
+            align: align,
+            pregap: pregap,
+            postgap: 0,
+        };
+    }
+    return res;
+});

katex/src/fontMetrics.js

@@ -0,0 +1,147 @@
+/* eslint no-unused-vars:0 */
+
+var Style = require("./Style");
+
+/**
+ * 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.
+ */
+
+// These font metrics are extracted from TeX by using
+// \font\a=cmmi10
+// \showthe\fontdimenX\a
+// where X is the corresponding variable number. These correspond to the font
+// parameters of the symbol fonts. In TeX, there are actually three sets of
+// dimensions, one for each of textstyle, scriptstyle, and scriptscriptstyle,
+// but we only use the textstyle ones, and scale certain dimensions accordingly.
+// See the TeXbook, page 441.
+var sigma1 = 0.025;
+var sigma2 = 0;
+var sigma3 = 0;
+var sigma4 = 0;
+var sigma5 = 0.431;
+var sigma6 = 1;
+var sigma7 = 0;
+var sigma8 = 0.677;
+var sigma9 = 0.394;
+var sigma10 = 0.444;
+var sigma11 = 0.686;
+var sigma12 = 0.345;
+var sigma13 = 0.413;
+var sigma14 = 0.363;
+var sigma15 = 0.289;
+var sigma16 = 0.150;
+var sigma17 = 0.247;
+var sigma18 = 0.386;
+var sigma19 = 0.050;
+var sigma20 = 2.390;
+var sigma21 = 1.01;
+var sigma21Script = 0.81;
+var sigma21ScriptScript = 0.71;
+var sigma22 = 0.250;
+
+// These font metrics are extracted from TeX by using
+// \font\a=cmex10
+// \showthe\fontdimenX\a
+// where X is the corresponding variable number. These correspond to the font
+// parameters of the extension fonts (family 3). See the TeXbook, page 441.
+var xi1 = 0;
+var xi2 = 0;
+var xi3 = 0;
+var xi4 = 0;
+var xi5 = 0.431;
+var xi6 = 1;
+var xi7 = 0;
+var xi8 = 0.04;
+var xi9 = 0.111;
+var xi10 = 0.166;
+var xi11 = 0.2;
+var xi12 = 0.6;
+var xi13 = 0.1;
+
+// 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.
+var ptPerEm = 10.0;
+
+// The space between adjacent `|` columns in an array definition. From
+// `\showthe\doublerulesep` in LaTeX.
+var doubleRuleSep = 2.0 / ptPerEm;
+
+/**
+ * This is just a mapping from common names to real metrics
+ */
+var metrics = {
+    xHeight: sigma5,
+    quad: sigma6,
+    num1: sigma8,
+    num2: sigma9,
+    num3: sigma10,
+    denom1: sigma11,
+    denom2: sigma12,
+    sup1: sigma13,
+    sup2: sigma14,
+    sup3: sigma15,
+    sub1: sigma16,
+    sub2: sigma17,
+    supDrop: sigma18,
+    subDrop: sigma19,
+    axisHeight: sigma22,
+    defaultRuleThickness: xi8,
+    bigOpSpacing1: xi9,
+    bigOpSpacing2: xi10,
+    bigOpSpacing3: xi11,
+    bigOpSpacing4: xi12,
+    bigOpSpacing5: xi13,
+    ptPerEm: ptPerEm,
+    emPerEx: sigma5 / sigma6,
+    doubleRuleSep: doubleRuleSep,
+
+    // TODO(alpert): Missing parallel structure here. We should probably add
+    // style-specific metrics for all of these.
+    delim1: sigma20,
+    getDelim2: function(style) {
+        if (style.size === Style.TEXT.size) {
+            return sigma21;
+        } else if (style.size === Style.SCRIPT.size) {
+            return sigma21Script;
+        } else if (style.size === Style.SCRIPTSCRIPT.size) {
+            return sigma21ScriptScript;
+        }
+        throw new Error("Unexpected style size: " + style.size);
+    },
+};
+
+// 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.
+var metricMap = require("./fontMetricsData");
+
+/**
+ * This function is a convenience function for looking up information in the
+ * metricMap table. It takes a character as a string, and a style.
+ *
+ * Note: the `width` property may be undefined if fontMetricsData.js wasn't
+ * built using `Make extended_metrics`.
+ */
+var getCharacterMetrics = function(character, style) {
+    var metrics = metricMap[style][character.charCodeAt(0)];
+    if (metrics) {
+        return {
+            depth: metrics[0],
+            height: metrics[1],
+            italic: metrics[2],
+            skew: metrics[3],
+            width: metrics[4],
+        };
+    }
+};
+
+module.exports = {
+    metrics: metrics,
+    getCharacterMetrics: getCharacterMetrics,
+};

katex/src/fontMetricsData.js

@@ -0,0 +1,1752 @@
+module.exports = {
+    "AMS-Regular": {
+        "65": [0, 0.68889, 0, 0],
+        "66": [0, 0.68889, 0, 0],
+        "67": [0, 0.68889, 0, 0],
+        "68": [0, 0.68889, 0, 0],
+        "69": [0, 0.68889, 0, 0],
+        "70": [0, 0.68889, 0, 0],
+        "71": [0, 0.68889, 0, 0],
+        "72": [0, 0.68889, 0, 0],
+        "73": [0, 0.68889, 0, 0],
+        "74": [0.16667, 0.68889, 0, 0],
+        "75": [0, 0.68889, 0, 0],
+        "76": [0, 0.68889, 0, 0],
+        "77": [0, 0.68889, 0, 0],
+        "78": [0, 0.68889, 0, 0],
+        "79": [0.16667, 0.68889, 0, 0],
+        "80": [0, 0.68889, 0, 0],
+        "81": [0.16667, 0.68889, 0, 0],
+        "82": [0, 0.68889, 0, 0],
+        "83": [0, 0.68889, 0, 0],
+        "84": [0, 0.68889, 0, 0],
+        "85": [0, 0.68889, 0, 0],
+        "86": [0, 0.68889, 0, 0],
+        "87": [0, 0.68889, 0, 0],
+        "88": [0, 0.68889, 0, 0],
+        "89": [0, 0.68889, 0, 0],
+        "90": [0, 0.68889, 0, 0],
+        "107": [0, 0.68889, 0, 0],
+        "165": [0, 0.675, 0.025, 0],
+        "174": [0.15559, 0.69224, 0, 0],
+        "240": [0, 0.68889, 0, 0],
+        "295": [0, 0.68889, 0, 0],
+        "710": [0, 0.825, 0, 0],
+        "732": [0, 0.9, 0, 0],
+        "770": [0, 0.825, 0, 0],
+        "771": [0, 0.9, 0, 0],
+        "989": [0.08167, 0.58167, 0, 0],
+        "1008": [0, 0.43056, 0.04028, 0],
+        "8245": [0, 0.54986, 0, 0],
+        "8463": [0, 0.68889, 0, 0],
+        "8487": [0, 0.68889, 0, 0],
+        "8498": [0, 0.68889, 0, 0],
+        "8502": [0, 0.68889, 0, 0],
+        "8503": [0, 0.68889, 0, 0],
+        "8504": [0, 0.68889, 0, 0],
+        "8513": [0, 0.68889, 0, 0],
+        "8592": [-0.03598, 0.46402, 0, 0],
+        "8594": [-0.03598, 0.46402, 0, 0],
+        "8602": [-0.13313, 0.36687, 0, 0],
+        "8603": [-0.13313, 0.36687, 0, 0],
+        "8606": [0.01354, 0.52239, 0, 0],
+        "8608": [0.01354, 0.52239, 0, 0],
+        "8610": [0.01354, 0.52239, 0, 0],
+        "8611": [0.01354, 0.52239, 0, 0],
+        "8619": [0, 0.54986, 0, 0],
+        "8620": [0, 0.54986, 0, 0],
+        "8621": [-0.13313, 0.37788, 0, 0],
+        "8622": [-0.13313, 0.36687, 0, 0],
+        "8624": [0, 0.69224, 0, 0],
+        "8625": [0, 0.69224, 0, 0],
+        "8630": [0, 0.43056, 0, 0],
+        "8631": [0, 0.43056, 0, 0],
+        "8634": [0.08198, 0.58198, 0, 0],
+        "8635": [0.08198, 0.58198, 0, 0],
+        "8638": [0.19444, 0.69224, 0, 0],
+        "8639": [0.19444, 0.69224, 0, 0],
+        "8642": [0.19444, 0.69224, 0, 0],
+        "8643": [0.19444, 0.69224, 0, 0],
+        "8644": [0.1808, 0.675, 0, 0],
+        "8646": [0.1808, 0.675, 0, 0],
+        "8647": [0.1808, 0.675, 0, 0],
+        "8648": [0.19444, 0.69224, 0, 0],
+        "8649": [0.1808, 0.675, 0, 0],
+        "8650": [0.19444, 0.69224, 0, 0],
+        "8651": [0.01354, 0.52239, 0, 0],
+        "8652": [0.01354, 0.52239, 0, 0],
+        "8653": [-0.13313, 0.36687, 0, 0],
+        "8654": [-0.13313, 0.36687, 0, 0],
+        "8655": [-0.13313, 0.36687, 0, 0],
+        "8666": [0.13667, 0.63667, 0, 0],
+        "8667": [0.13667, 0.63667, 0, 0],
+        "8669": [-0.13313, 0.37788, 0, 0],
+        "8672": [-0.064, 0.437, 0, 0],
+        "8674": [-0.064, 0.437, 0, 0],
+        "8705": [0, 0.825, 0, 0],
+        "8708": [0, 0.68889, 0, 0],
+        "8709": [0.08167, 0.58167, 0, 0],
+        "8717": [0, 0.43056, 0, 0],
+        "8722": [-0.03598, 0.46402, 0, 0],
+        "8724": [0.08198, 0.69224, 0, 0],
+        "8726": [0.08167, 0.58167, 0, 0],
+        "8733": [0, 0.69224, 0, 0],
+        "8736": [0, 0.69224, 0, 0],
+        "8737": [0, 0.69224, 0, 0],
+        "8738": [0.03517, 0.52239, 0, 0],
+        "8739": [0.08167, 0.58167, 0, 0],
+        "8740": [0.25142, 0.74111, 0, 0],
+        "8741": [0.08167, 0.58167, 0, 0],
+        "8742": [0.25142, 0.74111, 0, 0],
+        "8756": [0, 0.69224, 0, 0],
+        "8757": [0, 0.69224, 0, 0],
+        "8764": [-0.13313, 0.36687, 0, 0],
+        "8765": [-0.13313, 0.37788, 0, 0],
+        "8769": [-0.13313, 0.36687, 0, 0],
+        "8770": [-0.03625, 0.46375, 0, 0],
+        "8774": [0.30274, 0.79383, 0, 0],
+        "8776": [-0.01688, 0.48312, 0, 0],
+        "8778": [0.08167, 0.58167, 0, 0],
+        "8782": [0.06062, 0.54986, 0, 0],
+        "8783": [0.06062, 0.54986, 0, 0],
+        "8785": [0.08198, 0.58198, 0, 0],
+        "8786": [0.08198, 0.58198, 0, 0],
+        "8787": [0.08198, 0.58198, 0, 0],
+        "8790": [0, 0.69224, 0, 0],
+        "8791": [0.22958, 0.72958, 0, 0],
+        "8796": [0.08198, 0.91667, 0, 0],
+        "8806": [0.25583, 0.75583, 0, 0],
+        "8807": [0.25583, 0.75583, 0, 0],
+        "8808": [0.25142, 0.75726, 0, 0],
+        "8809": [0.25142, 0.75726, 0, 0],
+        "8812": [0.25583, 0.75583, 0, 0],
+        "8814": [0.20576, 0.70576, 0, 0],
+        "8815": [0.20576, 0.70576, 0, 0],
+        "8816": [0.30274, 0.79383, 0, 0],
+        "8817": [0.30274, 0.79383, 0, 0],
+        "8818": [0.22958, 0.72958, 0, 0],
+        "8819": [0.22958, 0.72958, 0, 0],
+        "8822": [0.1808, 0.675, 0, 0],
+        "8823": [0.1808, 0.675, 0, 0],
+        "8828": [0.13667, 0.63667, 0, 0],
+        "8829": [0.13667, 0.63667, 0, 0],
+        "8830": [0.22958, 0.72958, 0, 0],
+        "8831": [0.22958, 0.72958, 0, 0],
+        "8832": [0.20576, 0.70576, 0, 0],
+        "8833": [0.20576, 0.70576, 0, 0],
+        "8840": [0.30274, 0.79383, 0, 0],
+        "8841": [0.30274, 0.79383, 0, 0],
+        "8842": [0.13597, 0.63597, 0, 0],
+        "8843": [0.13597, 0.63597, 0, 0],
+        "8847": [0.03517, 0.54986, 0, 0],
+        "8848": [0.03517, 0.54986, 0, 0],
+        "8858": [0.08198, 0.58198, 0, 0],
+        "8859": [0.08198, 0.58198, 0, 0],
+        "8861": [0.08198, 0.58198, 0, 0],
+        "8862": [0, 0.675, 0, 0],
+        "8863": [0, 0.675, 0, 0],
+        "8864": [0, 0.675, 0, 0],
+        "8865": [0, 0.675, 0, 0],
+        "8872": [0, 0.69224, 0, 0],
+        "8873": [0, 0.69224, 0, 0],
+        "8874": [0, 0.69224, 0, 0],
+        "8876": [0, 0.68889, 0, 0],
+        "8877": [0, 0.68889, 0, 0],
+        "8878": [0, 0.68889, 0, 0],
+        "8879": [0, 0.68889, 0, 0],
+        "8882": [0.03517, 0.54986, 0, 0],
+        "8883": [0.03517, 0.54986, 0, 0],
+        "8884": [0.13667, 0.63667, 0, 0],
+        "8885": [0.13667, 0.63667, 0, 0],
+        "8888": [0, 0.54986, 0, 0],
+        "8890": [0.19444, 0.43056, 0, 0],
+        "8891": [0.19444, 0.69224, 0, 0],
+        "8892": [0.19444, 0.69224, 0, 0],
+        "8901": [0, 0.54986, 0, 0],
+        "8903": [0.08167, 0.58167, 0, 0],
+        "8905": [0.08167, 0.58167, 0, 0],
+        "8906": [0.08167, 0.58167, 0, 0],
+        "8907": [0, 0.69224, 0, 0],
+        "8908": [0, 0.69224, 0, 0],
+        "8909": [-0.03598, 0.46402, 0, 0],
+        "8910": [0, 0.54986, 0, 0],
+        "8911": [0, 0.54986, 0, 0],
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+        "113": [0.22222, 0.43056, 0, 0],
+        "114": [0, 0.43056, 0, 0],
+        "115": [0, 0.43056, 0, 0],
+        "116": [0, 0.55358, 0, 0],
+        "117": [0, 0.43056, 0, 0],
+        "118": [0, 0.43056, 0, 0],
+        "119": [0, 0.43056, 0, 0],
+        "120": [0, 0.43056, 0, 0],
+        "121": [0.22222, 0.43056, 0, 0],
+        "122": [0, 0.43056, 0, 0],
+        "123": [0.08333, 0.69444, 0, 0],
+        "124": [0.08333, 0.69444, 0, 0],
+        "125": [0.08333, 0.69444, 0, 0],
+        "126": [0, 0.61111, 0, 0],
+        "127": [0, 0.61111, 0, 0],
+        "305": [0, 0.43056, 0, 0],
+        "567": [0.22222, 0.43056, 0, 0],
+        "768": [0, 0.61111, 0, 0],
+        "769": [0, 0.61111, 0, 0],
+        "770": [0, 0.61111, 0, 0],
+        "771": [0, 0.61111, 0, 0],
+        "772": [0, 0.56555, 0, 0],
+        "774": [0, 0.61111, 0, 0],
+        "776": [0, 0.61111, 0, 0],
+        "778": [0, 0.61111, 0, 0],
+        "780": [0, 0.56597, 0, 0],
+        "915": [0, 0.61111, 0, 0],
+        "916": [0, 0.61111, 0, 0],
+        "920": [0, 0.61111, 0, 0],
+        "923": [0, 0.61111, 0, 0],
+        "926": [0, 0.61111, 0, 0],
+        "928": [0, 0.61111, 0, 0],
+        "931": [0, 0.61111, 0, 0],
+        "933": [0, 0.61111, 0, 0],
+        "934": [0, 0.61111, 0, 0],
+        "936": [0, 0.61111, 0, 0],
+        "937": [0, 0.61111, 0, 0],
+        "2018": [0, 0.61111, 0, 0],
+        "2019": [0, 0.61111, 0, 0],
+        "8242": [0, 0.61111, 0, 0],
+    },
+};

katex/src/functions.js

@@ -0,0 +1,585 @@
+var utils = require("./utils");
+var ParseError = require("./ParseError");
+
+/* This file contains a list of functions that we parse, identified by
+ * the calls to defineFunction.
+ *
+ * The first argument to defineFunction is a single name or a list of names.
+ * All functions named in such a list will share a single implementation.
+ *
+ * Each declared function can have associated properties, which
+ * include the following:
+ *
+ *  - numArgs: The number of arguments the function takes.
+ *             If this is the only property, it can be passed as a number
+ *             instead of an element of a properties object.
+ *  - argTypes: (optional) An array corresponding to each argument of the
+ *              function, giving the type of argument that should be parsed. Its
+ *              length should be equal to `numArgs + numOptionalArgs`. Valid
+ *              types:
+ *               - "size": A size-like thing, such as "1em" or "5ex"
+ *               - "color": An html color, like "#abc" or "blue"
+ *               - "original": The same type as the environment that the
+ *                             function being parsed is in (e.g. used for the
+ *                             bodies of functions like \color where the first
+ *                             argument is special and the second argument is
+ *                             parsed normally)
+ *              Other possible types (probably shouldn't be used)
+ *               - "text": Text-like (e.g. \text)
+ *               - "math": Normal math
+ *              If undefined, this will be treated as an appropriate length
+ *              array of "original" strings
+ *  - greediness: (optional) The greediness of the function to use ungrouped
+ *                arguments.
+ *
+ *                E.g. if you have an expression
+ *                  \sqrt \frac 1 2
+ *                since \frac has greediness=2 vs \sqrt's greediness=1, \frac
+ *                will use the two arguments '1' and '2' as its two arguments,
+ *                then that whole function will be used as the argument to
+ *                \sqrt. On the other hand, the expressions
+ *                  \frac \frac 1 2 3
+ *                and
+ *                  \frac \sqrt 1 2
+ *                will fail because \frac and \frac have equal greediness
+ *                and \sqrt has a lower greediness than \frac respectively. To
+ *                make these parse, we would have to change them to:
+ *                  \frac {\frac 1 2} 3
+ *                and
+ *                  \frac {\sqrt 1} 2
+ *
+ *                The default value is `1`
+ *  - allowedInText: (optional) Whether or not the function is allowed inside
+ *                   text mode (default false)
+ *  - numOptionalArgs: (optional) The number of optional arguments the function
+ *                     should parse. If the optional arguments aren't found,
+ *                     `null` will be passed to the handler in their place.
+ *                     (default 0)
+ *
+ * The last argument is that implementation, the handler for the function(s).
+ * It is called to handle these functions and their arguments.
+ * It receives two arguments:
+ *  - context contains information and references provided by the parser
+ *  - args is an array of arguments obtained from TeX input
+ * The context contains the following properties:
+ *  - funcName: the text (i.e. name) of the function, including \
+ *  - parser: the parser object
+ *  - lexer: the lexer object
+ *  - positions: the positions in the overall string of the function
+ *               and the arguments.
+ * The latter three should only be used to produce error messages.
+ *
+ * The function should return an object with the following keys:
+ *  - type: The type of element that this is. This is then used in
+ *          buildHTML/buildMathML to determine which function
+ *          should be called to build this node into a DOM node
+ * Any other data can be added to the object, which will be passed
+ * in to the function in buildHTML/buildMathML as `group.value`.
+ */
+
+function defineFunction(names, props, handler) {
+    if (typeof names === "string") {
+        names = [names];
+    }
+    if (typeof props === "number") {
+        props = { numArgs: props };
+    }
+    // Set default values of functions
+    var data = {
+        numArgs: props.numArgs,
+        argTypes: props.argTypes,
+        greediness: (props.greediness === undefined) ? 1 : props.greediness,
+        allowedInText: !!props.allowedInText,
+        numOptionalArgs: props.numOptionalArgs || 0,
+        handler: handler,
+    };
+    for (var i = 0; i < names.length; ++i) {
+        module.exports[names[i]] = data;
+    }
+}
+
+// A normal square root
+defineFunction("\\sqrt", {
+    numArgs: 1,
+    numOptionalArgs: 1,
+}, function(context, args) {
+    var index = args[0];
+    var body = args[1];
+    return {
+        type: "sqrt",
+        body: body,
+        index: index,
+    };
+});
+
+// Some non-mathy text
+defineFunction(["\\text", "\\mbox", "\\hbox", "\\vbox"], {
+    numArgs: 1,
+    argTypes: ["text"],
+    greediness: 2,
+}, function(context, args) {
+    var body = args[0];
+    // Since the corresponding buildHTML/buildMathML function expects a
+    // list of elements, we normalize for different kinds of arguments
+    // TODO(emily): maybe this should be done somewhere else
+    var inner;
+    if (body.type === "ordgroup") {
+        inner = body.value;
+    } else {
+        inner = [body];
+    }
+
+    return {
+        type: "text",
+        body: inner,
+    };
+});
+
+// A two-argument custom color
+defineFunction("\\color", {
+    numArgs: 2,
+    allowedInText: true,
+    greediness: 3,
+    argTypes: ["color", "original"],
+}, function(context, args) {
+    var color = args[0];
+    var body = args[1];
+    // Normalize the different kinds of bodies (see \text above)
+    var inner;
+    if (body.type === "ordgroup") {
+        inner = body.value;
+    } else {
+        inner = [body];
+    }
+
+    return {
+        type: "color",
+        color: color.value,
+        value: inner,
+    };
+});
+
+// An overline
+defineFunction("\\overline", {
+    numArgs: 1,
+}, function(context, args) {
+    var body = args[0];
+    return {
+        type: "overline",
+        body: body,
+    };
+});
+
+// An underline
+defineFunction("\\underline", {
+    numArgs: 1,
+}, function(context, args) {
+    var body = args[0];
+    return {
+        type: "underline",
+        body: body,
+    };
+});
+
+// A box of the width and height
+defineFunction("\\rule", {
+    numArgs: 2,
+    numOptionalArgs: 1,
+    argTypes: ["size", "size", "size"],
+}, function(context, args) {
+    var shift = args[0];
+    var width = args[1];
+    var height = args[2];
+    return {
+        type: "rule",
+        shift: shift && shift.value,
+        width: width.value,
+        height: height.value,
+    };
+});
+
+// A KaTeX logo
+defineFunction("\\KaTeX", {
+    numArgs: 0,
+}, function(context) {
+    return {
+        type: "katex",
+    };
+});
+
+defineFunction("\\phantom", {
+    numArgs: 1,
+}, function(context, args) {
+    var body = args[0];
+    var inner;
+    if (body.type === "ordgroup") {
+        inner = body.value;
+    } else {
+        inner = [body];
+    }
+
+    return {
+        type: "phantom",
+        value: inner,
+    };
+});
+
+// Extra data needed for the delimiter handler down below
+var delimiterSizes = {
+    "\\bigl" : {type: "open",    size: 1},
+    "\\Bigl" : {type: "open",    size: 2},
+    "\\biggl": {type: "open",    size: 3},
+    "\\Biggl": {type: "open",    size: 4},
+    "\\bigr" : {type: "close",   size: 1},
+    "\\Bigr" : {type: "close",   size: 2},
+    "\\biggr": {type: "close",   size: 3},
+    "\\Biggr": {type: "close",   size: 4},
+    "\\bigm" : {type: "rel",     size: 1},
+    "\\Bigm" : {type: "rel",     size: 2},
+    "\\biggm": {type: "rel",     size: 3},
+    "\\Biggm": {type: "rel",     size: 4},
+    "\\big"  : {type: "textord", size: 1},
+    "\\Big"  : {type: "textord", size: 2},
+    "\\bigg" : {type: "textord", size: 3},
+    "\\Bigg" : {type: "textord", size: 4},
+};
+
+var delimiters = [
+    "(", ")", "[", "\\lbrack", "]", "\\rbrack",
+    "\\{", "\\lbrace", "\\}", "\\rbrace",
+    "\\lfloor", "\\rfloor", "\\lceil", "\\rceil",
+    "<", ">", "\\langle", "\\rangle", "\\lt", "\\gt",
+    "\\lvert", "\\rvert", "\\lVert", "\\rVert",
+    "\\lgroup", "\\rgroup", "\\lmoustache", "\\rmoustache",
+    "/", "\\backslash",
+    "|", "\\vert", "\\|", "\\Vert",
+    "\\uparrow", "\\Uparrow",
+    "\\downarrow", "\\Downarrow",
+    "\\updownarrow", "\\Updownarrow",
+    ".",
+];
+
+var fontAliases = {
+    "\\Bbb": "\\mathbb",
+    "\\bold": "\\mathbf",
+    "\\frak": "\\mathfrak",
+};
+
+// Single-argument color functions
+defineFunction([
+    "\\blue", "\\orange", "\\pink", "\\red",
+    "\\green", "\\gray", "\\purple",
+    "\\blueA", "\\blueB", "\\blueC", "\\blueD", "\\blueE",
+    "\\tealA", "\\tealB", "\\tealC", "\\tealD", "\\tealE",
+    "\\greenA", "\\greenB", "\\greenC", "\\greenD", "\\greenE",
+    "\\goldA", "\\goldB", "\\goldC", "\\goldD", "\\goldE",
+    "\\redA", "\\redB", "\\redC", "\\redD", "\\redE",
+    "\\maroonA", "\\maroonB", "\\maroonC", "\\maroonD", "\\maroonE",
+    "\\purpleA", "\\purpleB", "\\purpleC", "\\purpleD", "\\purpleE",
+    "\\mintA", "\\mintB", "\\mintC",
+    "\\grayA", "\\grayB", "\\grayC", "\\grayD", "\\grayE",
+    "\\grayF", "\\grayG", "\\grayH", "\\grayI",
+    "\\kaBlue", "\\kaGreen",
+], {
+    numArgs: 1,
+    allowedInText: true,
+    greediness: 3,
+}, function(context, args) {
+    var body = args[0];
+    var atoms;
+    if (body.type === "ordgroup") {
+        atoms = body.value;
+    } else {
+        atoms = [body];
+    }
+
+    return {
+        type: "color",
+        color: "katex-" + context.funcName.slice(1),
+        value: atoms,
+    };
+});
+
+// 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.
+
+// No limits, not symbols
+defineFunction([
+    "\\arcsin", "\\arccos", "\\arctan", "\\arg", "\\cos", "\\cosh",
+    "\\cot", "\\coth", "\\csc", "\\deg", "\\dim", "\\exp", "\\hom",
+    "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh",
+    "\\tan", "\\tanh",
+], {
+    numArgs: 0,
+}, function(context) {
+    return {
+        type: "op",
+        limits: false,
+        symbol: false,
+        body: context.funcName,
+    };
+});
+
+// Limits, not symbols
+defineFunction([
+    "\\det", "\\gcd", "\\inf", "\\lim", "\\liminf", "\\limsup", "\\max",
+    "\\min", "\\Pr", "\\sup",
+], {
+    numArgs: 0,
+}, function(context) {
+    return {
+        type: "op",
+        limits: true,
+        symbol: false,
+        body: context.funcName,
+    };
+});
+
+// No limits, symbols
+defineFunction([
+    "\\int", "\\iint", "\\iiint", "\\oint",
+], {
+    numArgs: 0,
+}, function(context) {
+    return {
+        type: "op",
+        limits: false,
+        symbol: true,
+        body: context.funcName,
+    };
+});
+
+// Limits, symbols
+defineFunction([
+    "\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap",
+    "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes",
+    "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint",
+], {
+    numArgs: 0,
+}, function(context) {
+    return {
+        type: "op",
+        limits: true,
+        symbol: true,
+        body: context.funcName,
+    };
+});
+
+// Fractions
+defineFunction([
+    "\\dfrac", "\\frac", "\\tfrac",
+    "\\dbinom", "\\binom", "\\tbinom",
+], {
+    numArgs: 2,
+    greediness: 2,
+}, function(context, args) {
+    var numer = args[0];
+    var denom = args[1];
+    var hasBarLine;
+    var leftDelim = null;
+    var rightDelim = null;
+    var size = "auto";
+
+    switch (context.funcName) {
+        case "\\dfrac":
+        case "\\frac":
+        case "\\tfrac":
+            hasBarLine = true;
+            break;
+        case "\\dbinom":
+        case "\\binom":
+        case "\\tbinom":
+            hasBarLine = false;
+            leftDelim = "(";
+            rightDelim = ")";
+            break;
+        default:
+            throw new Error("Unrecognized genfrac command");
+    }
+
+    switch (context.funcName) {
+        case "\\dfrac":
+        case "\\dbinom":
+            size = "display";
+            break;
+        case "\\tfrac":
+        case "\\tbinom":
+            size = "text";
+            break;
+    }
+
+    return {
+        type: "genfrac",
+        numer: numer,
+        denom: denom,
+        hasBarLine: hasBarLine,
+        leftDelim: leftDelim,
+        rightDelim: rightDelim,
+        size: size,
+    };
+});
+
+// Left and right overlap functions
+defineFunction(["\\llap", "\\rlap"], {
+    numArgs: 1,
+    allowedInText: true,
+}, function(context, args) {
+    var body = args[0];
+    return {
+        type: context.funcName.slice(1),
+        body: body,
+    };
+});
+
+// Delimiter functions
+defineFunction([
+    "\\bigl", "\\Bigl", "\\biggl", "\\Biggl",
+    "\\bigr", "\\Bigr", "\\biggr", "\\Biggr",
+    "\\bigm", "\\Bigm", "\\biggm", "\\Biggm",
+    "\\big",  "\\Big",  "\\bigg",  "\\Bigg",
+    "\\left", "\\right"
+], {
+    numArgs: 1,
+}, function(context, args) {
+    var delim = args[0];
+    if (!utils.contains(delimiters, delim.value)) {
+        throw new ParseError(
+            "Invalid delimiter: '" + delim.value + "' after '" +
+                context.funcName + "'",
+            context.lexer, context.positions[1]);
+    }
+
+    // \left and \right are caught somewhere in Parser.js, which is
+    // why this data doesn't match what is in buildHTML.
+    if (context.funcName === "\\left" || context.funcName === "\\right") {
+        return {
+            type: "leftright",
+            value: delim.value,
+            funcName: context.funcName
+        };
+    } else {
+        return {
+            type: "delimsizing",
+            size: delimiterSizes[context.funcName].size,
+            delimType: delimiterSizes[context.funcName].type,
+            value: delim.value,
+            funcName: context.funcName
+        };
+    }
+});
+
+// Sizing functions (handled in Parser.js explicitly, hence no handler)
+defineFunction([
+    "\\tiny", "\\scriptsize", "\\footnotesize", "\\small",
+    "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge", "\\textrm", "\\rm", "\\cal", "\\bf", "\\siptstyle", "\\boldmath", "\\it"
+], 0, null);
+
+// Style changing functions (handled in Parser.js explicitly, hence no
+// handler)
+defineFunction([
+    "\\displaystyle", "\\textstyle", "\\scriptstyle",
+    "\\scriptscriptstyle",
+], 0, null);
+
+defineFunction([
+    // styles
+    "\\mathrm", "\\mathit", "\\mathbf","\\mathop","\\stackrel",
+
+    // families
+    "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf",
+    "\\mathtt",
+
+     "\\label", "\\comment", "\\hspace", "\\vspace", "\\atop", "\\fbox", "\\tag", "\\makebox",
+    "\\raisebox", "\\framebox", "\\circle", "\\line", "\\put", "\\vphantom", "\\textup", "\\noalign",
+    
+    // aliases
+    "\\Bbb", "\\bold", "\\frak",
+], {
+    numArgs: 1,
+    greediness: 2,
+}, function(context, args) {
+    var body = args[0];
+    var func = context.funcName;
+    if (func in fontAliases) {
+        func = fontAliases[func];
+    }
+    return {
+        type: "font",
+        font: func.slice(1),
+        body: body,
+    };
+});
+
+// Accents
+defineFunction([
+    "\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve",
+    "\\check", "\\hat", "\\vec", "\\dot",
+    // We don't support expanding accents yet
+    // "\\widetilde", "\\widehat"
+], {
+    numArgs: 1,
+}, function(context, args) {
+    var base = args[0];
+    return {
+        type: "accent",
+        accent: context.funcName,
+        base: base,
+    };
+});
+
+// Infix generalized fractions
+defineFunction(["\\over", "\\choose"], {
+    numArgs: 0,
+}, function(context) {
+    var replaceWith;
+    switch (context.funcName) {
+        case "\\over":
+            replaceWith = "\\frac";
+            break;
+        case "\\choose":
+            replaceWith = "\\binom";
+            break;
+        default:
+            throw new Error("Unrecognized infix genfrac command");
+    }
+    return {
+        type: "infix",
+        replaceWith: replaceWith,
+    };
+});
+
+// Row breaks for aligned data
+defineFunction(["\\\\", "\\cr"], {
+    numArgs: 0,
+    numOptionalArgs: 1,
+    argTypes: ["size"],
+}, function(context, args) {
+    var size = args[0];
+    return {
+        type: "cr",
+        size: size,
+    };
+});
+
+// Environment delimiters
+defineFunction(["\\begin", "\\end"], {
+    numArgs: 1,
+    argTypes: ["text"],
+}, function(context, args) {
+    var nameGroup = args[0];
+    if (nameGroup.type !== "ordgroup") {
+        throw new ParseError(
+            "Invalid environment name",
+            context.lexer, context.positions[1]);
+    }
+    var name = "";
+    for (var i = 0; i < nameGroup.value.length; ++i) {
+        name += nameGroup.value[i].value;
+    }
+    return {
+        type: "environment",
+        name: name,
+        namepos: context.positions[1],
+    };
+});

katex/src/mathMLTree.js

@@ -0,0 +1,102 @@
+/**
+ * These objects store data about MathML nodes. This is the MathML equivalent
+ * of the types in domTree.js. Since MathML handles its own rendering, and
+ * since we're mainly using MathML to improve accessibility, we don't manage
+ * any of the styling state that the plain DOM nodes do.
+ *
+ * The `toNode` and `toMarkup` functions work simlarly to how they do in
+ * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.
+ */
+
+var utils = require("./utils");
+
+/**
+ * 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).
+ */
+function MathNode(type, children) {
+    this.type = type;
+    this.attributes = {};
+    this.children = children || [];
+}
+
+/**
+ * Sets an attribute on a MathML node. MathML depends on attributes to convey a
+ * semantic content, so this is used heavily.
+ */
+MathNode.prototype.setAttribute = function(name, value) {
+    this.attributes[name] = value;
+};
+
+/**
+ * Converts the math node into a MathML-namespaced DOM element.
+ */
+MathNode.prototype.toNode = function() {
+    var node = document.createElementNS(
+        "http://www.w3.org/1998/Math/MathML", this.type);
+
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            node.setAttribute(attr, this.attributes[attr]);
+        }
+    }
+
+    for (var i = 0; i < this.children.length; i++) {
+        node.appendChild(this.children[i].toNode());
+    }
+
+    return node;
+};
+
+/**
+ * Converts the math node into an HTML markup string.
+ */
+MathNode.prototype.toMarkup = function() {
+    var markup = "<" + this.type;
+
+    // Add the attributes
+    for (var attr in this.attributes) {
+        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
+            markup += " " + attr + "=\"";
+            markup += utils.escape(this.attributes[attr]);
+            markup += "\"";
+        }
+    }
+
+    markup += ">";
+
+    for (var i = 0; i < this.children.length; i++) {
+        markup += this.children[i].toMarkup();
+    }
+
+    markup += "</" + this.type + ">";
+
+    return markup;
+};
+
+/**
+ * This node represents a piece of text.
+ */
+function TextNode(text) {
+    this.text = text;
+}
+
+/**
+ * Converts the text node into a DOM text node.
+ */
+TextNode.prototype.toNode = function() {
+    return document.createTextNode(this.text);
+};
+
+/**
+ * Converts the text node into HTML markup (which is just the text itself).
+ */
+TextNode.prototype.toMarkup = function() {
+    return utils.escape(this.text);
+};
+
+module.exports = {
+    MathNode: MathNode,
+    TextNode: TextNode,
+};

katex/src/parseData.js

@@ -0,0 +1,13 @@
+/**
+ * The resulting parse tree nodes of the parse tree.
+ */
+function ParseNode(type, value, mode) {
+    this.type = type;
+    this.value = value;
+    this.mode = mode;
+}
+
+module.exports = {
+    ParseNode: ParseNode,
+};
+

katex/src/parseTree.js

@@ -0,0 +1,17 @@
+/**
+ * Provides a single function for parsing an expression using a Parser
+ * TODO(emily): Remove this
+ */
+
+var Parser = require("./Parser");
+
+/**
+ * Parses an expression using a Parser, then returns the parsed result.
+ */
+var parseTree = function(toParse, settings) {
+    var parser = new Parser(toParse, settings);
+
+    return parser.parse();
+};
+
+module.exports = parseTree;

katex/src/symbols.js

@@ -0,0 +1,687 @@
+/**
+ * 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/Khan/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").
+ */
+
+module.exports = {
+    math: {},
+    text: {},
+};
+
+function defineSymbol(mode, font, group, replace, name) {
+    module.exports[mode][name] = {
+        font: font,
+        group: group,
+        replace: replace,
+    };
+}
+
+// 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";
+var bin = "bin";
+var close = "close";
+var inner = "inner";
+var mathord = "mathord";
+var op = "op";
+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");
+defineSymbol(math, main, rel, "\u227a", "\\prec");
+defineSymbol(math, main, rel, "\u227b", "\\succ");
+defineSymbol(math, main, rel, "\u223c", "\\sim");
+defineSymbol(math, main, rel, "\u22a5", "\\perp");
+defineSymbol(math, main, rel, "\u2aaf", "\\preceq");
+defineSymbol(math, main, rel, "\u2ab0", "\\succeq");
+defineSymbol(math, main, rel, "\u2243", "\\simeq");
+defineSymbol(math, main, rel, "\u2223", "\\mid");
+defineSymbol(math, main, rel, "\u226a", "\\ll");
+defineSymbol(math, main, rel, "\u226b", "\\gg");
+defineSymbol(math, main, rel, "\u224d", "\\asymp");
+defineSymbol(math, main, rel, "\u2225", "\\parallel");
+defineSymbol(math, main, rel, "\u22c8", "\\bowtie");
+defineSymbol(math, main, rel, "\u2323", "\\smile");
+defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq");
+defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq");
+defineSymbol(math, main, rel, "\u2250", "\\doteq");
+defineSymbol(math, main, rel, "\u2322", "\\frown");
+defineSymbol(math, main, rel, "\u220b", "\\ni");
+defineSymbol(math, main, rel, "\u221d", "\\propto");
+defineSymbol(math, main, rel, "\u22a2", "\\vdash");
+defineSymbol(math, main, rel, "\u22a3", "\\dashv");
+defineSymbol(math, main, rel, "\u220b", "\\owns");
+
+defineSymbol(math, main, rel, "\u220b", "\\widehat");
+defineSymbol(math, main, rel, "\u220b", "\\widetilde");
+defineSymbol(math, main, rel, "\u220b", "\\sp");
+defineSymbol(math, main, rel, "\u220b", "\\quad");
+// defineSymbol(math, main, rel, "\u220b", "\\cr");
+defineSymbol(math, main, rel, "\u220b", "\\\\sim");
+defineSymbol(math, main, rel, "\u220b", "\\nonumber");
+defineSymbol(math, main, rel, "\u220b", "\\dots");
+defineSymbol(math, main, rel, "\u220b", "\\cases");
+defineSymbol(math, main, rel, "\u220b", "\\mit");
+defineSymbol(math, main, rel, "\u220b", "\\smallskip");
+defineSymbol(math, main, rel, "\u220b", "\\slash");
+defineSymbol(math, main, rel, "\u220b", "\\d");
+defineSymbol(math, main, rel, "\u220b", "\\c");
+defineSymbol(math, main, rel, "\u220b", "\\b");
+defineSymbol(math, main, rel, "\u220b", "\\M");
+defineSymbol(math, main, rel, "\u220b", "\\S");
+defineSymbol(math, main, rel, "\u220b", "\\(");
+defineSymbol(math, main, rel, "\u220b", "\\)");
+// defineSymbol(math, main, rel, "\u220b", "\\Comp");
+defineSymbol(math, main, rel, "\u220b", "\\thinspace");
+defineSymbol(math, main, rel, "\u220b", "\\hskip");
+defineSymbol(math, main, rel, "\u220b", "\\tt");
+defineSymbol(math, main, rel, "\u220b", "\\not");
+defineSymbol(math, main, rel, "\u220b", "\\boldmathr");
+defineSymbol(math, main, rel, "\u220b", "\\overleftarrow");
+defineSymbol(math, main, rel, "\u220b", "\\overrightarrow");
+defineSymbol(math, main, rel, "\u220b", "\\intf");
+defineSymbol(math, main, rel, "\u220b", "\\sf");
+defineSymbol(math, main, rel, "\u220b", "\\textbf");
+defineSymbol(math, main, rel, "\u220b", "\\L");
+defineSymbol(math, main, rel, "\u220b", "\\pii");
+defineSymbol(math, main, rel, "\u220b", "\\unitlength");
+defineSymbol(math, main, rel, "\u220b", "\\arowtor5linv");
+defineSymbol(math, main, rel, "\u220b", "\\hline");
+defineSymbol(math, main, rel, "\u220b", "\\mathbin");
+defineSymbol(math, main, rel, "\u220b", "\\nc");
+defineSymbol(math, main, rel, "\u220b", "\\underbrace");
+defineSymbol(math, main, rel, "\u220b", "\\o");
+defineSymbol(math, main, rel, "\u220b", "\\a");
+defineSymbol(math, main, rel, "\u220b", "\\b");
+defineSymbol(math, main, rel, "\u220b", "\\c");
+defineSymbol(math, main, rel, "\u220b", "\\d");
+defineSymbol(math, main, rel, "\u220b", "\\e");
+defineSymbol(math, main, rel, "\u220b", "\\f");
+defineSymbol(math, main, rel, "\u220b", "\\g");
+defineSymbol(math, main, rel, "\u220b", "\\h");
+defineSymbol(math, main, rel, "\u220b", "\\i");
+defineSymbol(math, main, rel, "\u220b", "\\j");
+defineSymbol(math, main, rel, "\u220b", "\\k");
+defineSymbol(math, main, rel, "\u220b", "\\l");
+defineSymbol(math, main, rel, "\u220b", "\\m");
+defineSymbol(math, main, rel, "\u220b", "\\n");
+defineSymbol(math, main, rel, "\u220b", "\\o");
+// defineSymbol(math, main, rel, "\u220b", "\\wedgee");
+defineSymbol(math, main, rel, "\u220b", "\\sb");
+defineSymbol(math, main, rel, "\u220b", "\\do");
+defineSymbol(math, main, rel, "\u220b", "\\em");
+// defineSymbol(math, main, rel, "\u220b", "\\diamonda");
+
+
+defineSymbol(math, main, rel, "\u220b", "\\dint");
+defineSymbol(math, main, rel, "\u220b", "\\intd");
+
+
+// Punctuation
+defineSymbol(math, main, punct, "\u002e", "\\ldotp");
+defineSymbol(math, main, punct, "\u22c5", "\\cdotp");
+
+// Misc Symbols
+defineSymbol(math, main, textord, "\u0023", "\\#");
+defineSymbol(math, main, textord, "\u0026", "\\&");
+defineSymbol(math, main, textord, "\u2135", "\\aleph");
+defineSymbol(math, main, textord, "\u2200", "\\forall");
+defineSymbol(math, main, textord, "\u210f", "\\hbar");
+defineSymbol(math, main, textord, "\u2203", "\\eixsts");
+defineSymbol(math, main, textord, "\u2207", "\\nabla");
+defineSymbol(math, main, textord, "\u266d", "\\flat");
+defineSymbol(math, main, textord, "\u2113", "\\ell");
+defineSymbol(math, main, textord, "\u266e", "\\natural");
+defineSymbol(math, main, textord, "\u2663", "\\clubsuit");
+defineSymbol(math, main, textord, "\u2118", "\\wp");
+defineSymbol(math, main, textord, "\u266f", "\\sharp");
+defineSymbol(math, main, textord, "\u2662", "\\diamondsuit");
+defineSymbol(math, main, textord, "\u211c", "\\Re");
+defineSymbol(math, main, textord, "\u2661", "\\heartsuit");
+defineSymbol(math, main, textord, "\u2111", "\\Im");
+defineSymbol(math, main, textord, "\u2660", "\\spadesuit");
+
+// Math and Text
+defineSymbol(math, main, textord, "\u2020", "\\dag");
+defineSymbol(math, main, textord, "\u2021", "\\ddag");
+
+// Large Delimiters
+defineSymbol(math, main, close, "\u23b1", "\\rmoustache");
+defineSymbol(math, main, open, "\u23b0", "\\lmoustache");
+defineSymbol(math, main, close, "\u27ef", "\\rgroup");
+defineSymbol(math, main, open, "\u27ee", "\\lgroup");
+
+// Binary Operators
+defineSymbol(math, main, bin, "\u2213", "\\mp");
+defineSymbol(math, main, bin, "\u2296", "\\ominus");
+defineSymbol(math, main, bin, "\u228e", "\\uplus");
+defineSymbol(math, main, bin, "\u2293", "\\sqcap");
+defineSymbol(math, main, bin, "\u2217", "\\ast");
+defineSymbol(math, main, bin, "\u2294", "\\sqcup");
+defineSymbol(math, main, bin, "\u25ef", "\\bigcirc");
+defineSymbol(math, main, bin, "\u2219", "\\bullet");
+defineSymbol(math, main, bin, "\u2021", "\\ddagger");
+defineSymbol(math, main, bin, "\u2240", "\\wr");
+defineSymbol(math, main, bin, "\u2a3f", "\\amalg");
+
+// Arrow Symbols
+defineSymbol(math, main, rel, "\u27f5", "\\longleftarrow");
+defineSymbol(math, main, rel, "\u21d0", "\\Leftarrow");
+defineSymbol(math, main, rel, "\u27f8", "\\Longleftarrow");
+defineSymbol(math, main, rel, "\u27f6", "\\longrightarrow");
+defineSymbol(math, main, rel, "\u21d2", "\\Rightarrow");
+defineSymbol(math, main, rel, "\u27f9", "\\Longrightarrow");
+defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow");
+defineSymbol(math, main, rel, "\u27f7", "\\longleftrightarrow");
+defineSymbol(math, main, rel, "\u21d4", "\\Leftrightarrow");
+defineSymbol(math, main, rel, "\u27fa", "\\Longleftrightarrow");
+defineSymbol(math, main, rel, "\u21a6", "\\mapsto");
+defineSymbol(math, main, rel, "\u27fc", "\\longmapsto");
+defineSymbol(math, main, rel, "\u2197", "\\nearrow");
+defineSymbol(math, main, rel, "\u21a9", "\\hookleftarrow");
+defineSymbol(math, main, rel, "\u21aa", "\\hookrightarrow");
+defineSymbol(math, main, rel, "\u2198", "\\searrow");
+defineSymbol(math, main, rel, "\u21bc", "\\leftharpoonup");
+defineSymbol(math, main, rel, "\u21c0", "\\rightharpoonup");
+defineSymbol(math, main, rel, "\u2199", "\\swarrow");
+defineSymbol(math, main, rel, "\u21bd", "\\leftharpoondown");
+defineSymbol(math, main, rel, "\u21c1", "\\rightharpoondown");
+defineSymbol(math, main, rel, "\u2196", "\\nwarrow");
+defineSymbol(math, main, rel, "\u21cc", "\\rightleftharpoons");
+
+// AMS Negated Binary Relations
+defineSymbol(math, ams, rel, "\u226e", "\\nless");
+defineSymbol(math, ams, rel, "\ue010", "\\nleqslant");
+defineSymbol(math, ams, rel, "\ue011", "\\nleqq");
+defineSymbol(math, ams, rel, "\u2a87", "\\lneq");
+defineSymbol(math, ams, rel, "\u2268", "\\lneqq");
+defineSymbol(math, ams, rel, "\ue00c", "\\lvertneqq");
+defineSymbol(math, ams, rel, "\u22e6", "\\lnsim");
+defineSymbol(math, ams, rel, "\u2a89", "\\lnapprox");
+defineSymbol(math, ams, rel, "\u2280", "\\nprec");
+defineSymbol(math, ams, rel, "\u22e0", "\\npreceq");
+defineSymbol(math, ams, rel, "\u22e8", "\\precnsim");
+defineSymbol(math, ams, rel, "\u2ab9", "\\precnapprox");
+defineSymbol(math, ams, rel, "\u2241", "\\nsim");
+defineSymbol(math, ams, rel, "\ue006", "\\nshortmid");
+defineSymbol(math, ams, rel, "\u2224", "\\nmid");
+defineSymbol(math, ams, rel, "\u22ac", "\\nvdash");
+defineSymbol(math, ams, rel, "\u22ad", "\\nvDash");
+defineSymbol(math, ams, rel, "\u22ea", "\\ntriangleleft");
+defineSymbol(math, ams, rel, "\u22ec", "\\ntrianglelefteq");
+defineSymbol(math, ams, rel, "\u228a", "\\subsetneq");
+defineSymbol(math, ams, rel, "\ue01a", "\\varsubsetneq");
+defineSymbol(math, ams, rel, "\u2acb", "\\subsetneqq");
+defineSymbol(math, ams, rel, "\ue017", "\\varsubsetneqq");
+defineSymbol(math, ams, rel, "\u226f", "\\ngtr");
+defineSymbol(math, ams, rel, "\ue00f", "\\ngeqslant");
+defineSymbol(math, ams, rel, "\ue00e", "\\ngeqq");
+defineSymbol(math, ams, rel, "\u2a88", "\\gneq");
+defineSymbol(math, ams, rel, "\u2269", "\\gneqq");
+defineSymbol(math, ams, rel, "\ue00d", "\\gvertneqq");
+defineSymbol(math, ams, rel, "\u22e7", "\\gnsim");
+defineSymbol(math, ams, rel, "\u2a8a", "\\gnapprox");
+defineSymbol(math, ams, rel, "\u2281", "\\nsucc");
+defineSymbol(math, ams, rel, "\u22e1", "\\nsucceq");
+defineSymbol(math, ams, rel, "\u22e9", "\\succnsim");
+defineSymbol(math, ams, rel, "\u2aba", "\\succnapprox");
+defineSymbol(math, ams, rel, "\u2246", "\\ncong");
+defineSymbol(math, ams, rel, "\ue007", "\\nshortparallel");
+defineSymbol(math, ams, rel, "\u2226", "\\nparallel");
+defineSymbol(math, ams, rel, "\u22af", "\\nVDash");
+defineSymbol(math, ams, rel, "\u22eb", "\\ntriangleright");
+defineSymbol(math, ams, rel, "\u22ed", "\\ntrianglerighteq");
+defineSymbol(math, ams, rel, "\ue018", "\\nsupseteqq");
+defineSymbol(math, ams, rel, "\u228b", "\\supsetneq");
+defineSymbol(math, ams, rel, "\ue01b", "\\varsupsetneq");
+defineSymbol(math, ams, rel, "\u2acc", "\\supsetneqq");
+defineSymbol(math, ams, rel, "\ue019", "\\varsupsetneqq");
+defineSymbol(math, ams, rel, "\u22ae", "\\nVdash");
+defineSymbol(math, ams, rel, "\u2ab5", "\\precneqq");
+defineSymbol(math, ams, rel, "\u2ab6", "\\succneqq");
+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");
+defineSymbol(math, ams, rel, "\u219b", "\\nrightarrow");
+defineSymbol(math, ams, rel, "\u21cd", "\\nLeftarrow");
+defineSymbol(math, ams, rel, "\u21cf", "\\nRightarrow");
+defineSymbol(math, ams, rel, "\u21ae", "\\nleftrightarrow");
+defineSymbol(math, ams, rel, "\u21ce", "\\nLeftrightarrow");
+
+// 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(math, ams, textord, "\u2221", "\\measuredangle");
+defineSymbol(math, ams, textord, "\u2204", "\\nexists");
+defineSymbol(math, ams, textord, "\u2127", "\\mho");
+defineSymbol(math, ams, textord, "\u2132", "\\Finv");
+defineSymbol(math, ams, textord, "\u2141", "\\Game");
+defineSymbol(math, ams, textord, "\u006b", "\\Bbbk");
+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");
+defineSymbol(math, ams, textord, "\u2201", "\\complement");
+defineSymbol(math, ams, textord, "\u00f0", "\\eth");
+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");
+defineSymbol(math, ams, textord, "\u00a5", "\\yen");
+defineSymbol(math, ams, textord, "\u2713", "\\checkmark");
+
+// AMS Hebrew
+defineSymbol(math, ams, textord, "\u2136", "\\beth");
+defineSymbol(math, ams, textord, "\u2138", "\\daleth");
+defineSymbol(math, ams, textord, "\u2137", "\\gimel");
+
+// AMS Greek
+defineSymbol(math, ams, textord, "\u03dd", "\\digamma");
+defineSymbol(math, ams, textord, "\u03f0", "\\varkappa");
+
+// AMS Delimiters
+defineSymbol(math, ams, open, "\u250c", "\\ulcorner");
+defineSymbol(math, ams, close, "\u2510", "\\urcorner");
+defineSymbol(math, ams, open, "\u2514", "\\llcorner");
+defineSymbol(math, ams, close, "\u2518", "\\lrcorner");
+
+// AMS Binary Relations
+defineSymbol(math, ams, rel, "\u2266", "\\leqq");
+defineSymbol(math, ams, rel, "\u2a7d", "\\leqslant");
+defineSymbol(math, ams, rel, "\u2a95", "\\eqslantless");
+defineSymbol(math, ams, rel, "\u2272", "\\lesssim");
+defineSymbol(math, ams, rel, "\u2a85", "\\lessapprox");
+defineSymbol(math, ams, rel, "\u224a", "\\approxeq");
+defineSymbol(math, ams, bin, "\u22d6", "\\lessdot");
+defineSymbol(math, ams, rel, "\u22d8", "\\lll");
+defineSymbol(math, ams, rel, "\u2276", "\\lessgtr");
+defineSymbol(math, ams, rel, "\u22da", "\\lesseqgtr");
+defineSymbol(math, ams, rel, "\u2a8b", "\\lesseqqgtr");
+defineSymbol(math, ams, rel, "\u2251", "\\doteqdot");
+defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq");
+defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq");
+defineSymbol(math, ams, rel, "\u223d", "\\backsim");
+defineSymbol(math, ams, rel, "\u22cd", "\\backsimeq");
+defineSymbol(math, ams, rel, "\u2ac5", "\\subseteqq");
+defineSymbol(math, ams, rel, "\u22d0", "\\Subset");
+defineSymbol(math, ams, rel, "\u228f", "\\sqsubset");
+defineSymbol(math, ams, rel, "\u227c", "\\preccurlyeq");
+defineSymbol(math, ams, rel, "\u22de", "\\curlyeqprec");
+defineSymbol(math, ams, rel, "\u227e", "\\precsim");
+defineSymbol(math, ams, rel, "\u2ab7", "\\precapprox");
+defineSymbol(math, ams, rel, "\u22b2", "\\vartriangleleft");
+defineSymbol(math, ams, rel, "\u22b4", "\\trianglelefteq");
+defineSymbol(math, ams, rel, "\u22a8", "\\vDash");
+defineSymbol(math, ams, rel, "\u22aa", "\\Vvdash");
+defineSymbol(math, ams, rel, "\u2323", "\\smallsmile");
+defineSymbol(math, ams, rel, "\u2322", "\\smallfrown");
+defineSymbol(math, ams, rel, "\u224f", "\\bumpeq");
+defineSymbol(math, ams, rel, "\u224e", "\\Bumpeq");
+defineSymbol(math, ams, rel, "\u2267", "\\geqq");
+defineSymbol(math, ams, rel, "\u2a7e", "\\geqslant");
+defineSymbol(math, ams, rel, "\u2a96", "\\eqslantgtr");
+defineSymbol(math, ams, rel, "\u2273", "\\gtrsim");
+defineSymbol(math, ams, rel, "\u2a86", "\\gtrapprox");
+defineSymbol(math, ams, bin, "\u22d7", "\\gtrdot");
+defineSymbol(math, ams, rel, "\u22d9", "\\ggg");
+defineSymbol(math, ams, rel, "\u2277", "\\gtrless");
+defineSymbol(math, ams, rel, "\u22db", "\\gtreqless");
+defineSymbol(math, ams, rel, "\u2a8c", "\\gtreqqless");
+defineSymbol(math, ams, rel, "\u2256", "\\eqcirc");
+defineSymbol(math, ams, rel, "\u2257", "\\circeq");
+defineSymbol(math, ams, rel, "\u225c", "\\triangleq");
+defineSymbol(math, ams, rel, "\u223c", "\\thicksim");
+defineSymbol(math, ams, rel, "\u2248", "\\thickapprox");
+defineSymbol(math, ams, rel, "\u2ac6", "\\supseteqq");
+defineSymbol(math, ams, rel, "\u22d1", "\\Supset");
+defineSymbol(math, ams, rel, "\u2290", "\\sqsupset");
+defineSymbol(math, ams, rel, "\u227d", "\\succcurlyeq");
+defineSymbol(math, ams, rel, "\u22df", "\\curlyeqsucc");
+defineSymbol(math, ams, rel, "\u227f", "\\succsim");
+defineSymbol(math, ams, rel, "\u2ab8", "\\succapprox");
+defineSymbol(math, ams, rel, "\u22b3", "\\vartriangleright");
+defineSymbol(math, ams, rel, "\u22b5", "\\trianglerighteq");
+defineSymbol(math, ams, rel, "\u22a9", "\\Vdash");
+defineSymbol(math, ams, rel, "\u2223", "\\shortmid");
+defineSymbol(math, ams, rel, "\u2225", "\\shortparallel");
+defineSymbol(math, ams, rel, "\u226c", "\\between");
+defineSymbol(math, ams, rel, "\u22d4", "\\pitchfork");
+defineSymbol(math, ams, rel, "\u221d", "\\varpropto");
+defineSymbol(math, ams, rel, "\u25c0", "\\blacktriangleleft");
+defineSymbol(math, ams, rel, "\u2234", "\\therefore");
+defineSymbol(math, ams, rel, "\u220d", "\\backepsilon");
+defineSymbol(math, ams, rel, "\u25b6", "\\blacktriangleright");
+defineSymbol(math, ams, rel, "\u2235", "\\because");
+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");
+defineSymbol(math, main, rel, "\u22c8", "\\Join");
+defineSymbol(math, ams, rel, "\u2251", "\\Doteq");
+
+// AMS Binary Operators
+defineSymbol(math, ams, bin, "\u2214", "\\dotplus");
+defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus");
+defineSymbol(math, ams, bin, "\u22d2", "\\Cap");
+defineSymbol(math, ams, bin, "\u22d3", "\\Cup");
+defineSymbol(math, ams, bin, "\u2a5e", "\\doublebarwedge");
+defineSymbol(math, ams, bin, "\u229f", "\\boxminus");
+defineSymbol(math, ams, bin, "\u229e", "\\boxplus");
+defineSymbol(math, ams, bin, "\u22c7", "\\divideontimes");
+defineSymbol(math, ams, bin, "\u22c9", "\\ltimes");
+defineSymbol(math, ams, bin, "\u22ca", "\\rtimes");
+defineSymbol(math, ams, bin, "\u22cb", "\\leftthreetimes");
+defineSymbol(math, ams, bin, "\u22cc", "\\rightthreetimes");
+defineSymbol(math, ams, bin, "\u22cf", "\\curlywedge");
+defineSymbol(math, ams, bin, "\u22ce", "\\curlyvee");
+defineSymbol(math, ams, bin, "\u229d", "\\circleddash");
+defineSymbol(math, ams, bin, "\u229b", "\\circledast");
+defineSymbol(math, ams, bin, "\u22c5", "\\centerdot");
+defineSymbol(math, ams, bin, "\u22ba", "\\intercal");
+defineSymbol(math, ams, bin, "\u22d2", "\\doublecap");
+defineSymbol(math, ams, bin, "\u22d3", "\\doublecup");
+defineSymbol(math, ams, bin, "\u22a0", "\\boxtimes");
+
+// AMS Arrows
+defineSymbol(math, ams, rel, "\u21e2", "\\dashrightarrow");
+defineSymbol(math, ams, rel, "\u21e0", "\\dashleftarrow");
+defineSymbol(math, ams, rel, "\u21c7", "\\leftleftarrows");
+defineSymbol(math, ams, rel, "\u21c6", "\\leftrightarrows");
+defineSymbol(math, ams, rel, "\u21da", "\\Lleftarrow");
+defineSymbol(math, ams, rel, "\u219e", "\\twoheadleftarrow");
+defineSymbol(math, ams, rel, "\u21a2", "\\leftarrowtail");
+defineSymbol(math, ams, rel, "\u21ab", "\\looparrowleft");
+defineSymbol(math, ams, rel, "\u21cb", "\\leftrightharpoons");
+defineSymbol(math, ams, rel, "\u21b6", "\\curvearrowleft");
+defineSymbol(math, ams, rel, "\u21ba", "\\circlearrowleft");
+defineSymbol(math, ams, rel, "\u21b0", "\\Lsh");
+defineSymbol(math, ams, rel, "\u21c8", "\\upuparrows");
+defineSymbol(math, ams, rel, "\u21bf", "\\upharpoonleft");
+defineSymbol(math, ams, rel, "\u21c3", "\\downharpoonleft");
+defineSymbol(math, ams, rel, "\u22b8", "\\multimap");
+defineSymbol(math, ams, rel, "\u21ad", "\\leftrightsquigarrow");
+defineSymbol(math, ams, rel, "\u21c9", "\\rightrightarrows");
+defineSymbol(math, ams, rel, "\u21c4", "\\rightleftarrows");
+defineSymbol(math, ams, rel, "\u21a0", "\\twoheadrightarrow");
+defineSymbol(math, ams, rel, "\u21a3", "\\rightarrowtail");
+defineSymbol(math, ams, rel, "\u21ac", "\\looparrowright");
+defineSymbol(math, ams, rel, "\u21b7", "\\curvearrowright");
+defineSymbol(math, ams, rel, "\u21bb", "\\circlearrowright");
+defineSymbol(math, ams, rel, "\u21b1", "\\Rsh");
+defineSymbol(math, ams, rel, "\u21ca", "\\downdownarrows");
+defineSymbol(math, ams, rel, "\u21be", "\\upharpoonright");
+defineSymbol(math, ams, rel, "\u21c2", "\\downharpoonright");
+defineSymbol(math, ams, rel, "\u21dd", "\\rightsquigarrow");
+defineSymbol(math, ams, rel, "\u21dd", "\\leadsto");
+defineSymbol(math, ams, rel, "\u21db", "\\Rrightarrow");
+defineSymbol(math, ams, rel, "\u21be", "\\restriction");
+
+defineSymbol(math, main, textord, "\u2018", "`");
+defineSymbol(math, main, textord, "$", "\\$");
+defineSymbol(math, main, textord, "%", "\\%");
+defineSymbol(math, main, textord, "_", "\\_");
+defineSymbol(math, main, textord, "\u2220", "\\angle");
+defineSymbol(math, main, textord, "\u221e", "\\infty");
+defineSymbol(math, main, textord, "\u2032", "\\prime");
+defineSymbol(math, main, textord, "\u25b3", "\\triangle");
+defineSymbol(math, main, textord, "\u0393", "\\Gamma");
+defineSymbol(math, main, textord, "\u0394", "\\Delta");
+defineSymbol(math, main, textord, "\u0398", "\\Theta");
+defineSymbol(math, main, textord, "\u039b", "\\Lambda");
+defineSymbol(math, main, textord, "\u039e", "\\Xi");
+defineSymbol(math, main, textord, "\u03a0", "\\Pi");
+defineSymbol(math, main, textord, "\u03a3", "\\Sigma");
+defineSymbol(math, main, textord, "\u03a5", "\\Upsilon");
+defineSymbol(math, main, textord, "\u03a6", "\\Phi");
+defineSymbol(math, main, textord, "\u03a8", "\\Psi");
+defineSymbol(math, main, textord, "\u03a9", "\\Omega");
+defineSymbol(math, main, textord, "\u00ac", "\\neg");
+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");
+defineSymbol(math, main, mathord, "\u03b2", "\\beta");
+defineSymbol(math, main, mathord, "\u03b3", "\\gamma");
+defineSymbol(math, main, mathord, "\u03b4", "\\delta");
+defineSymbol(math, main, mathord, "\u03f5", "\\epsilon");
+defineSymbol(math, main, mathord, "\u03b6", "\\zeta");
+defineSymbol(math, main, mathord, "\u03b7", "\\eta");
+defineSymbol(math, main, mathord, "\u03b8", "\\theta");
+defineSymbol(math, main, mathord, "\u03b9", "\\iota");
+defineSymbol(math, main, mathord, "\u03ba", "\\kappa");
+defineSymbol(math, main, mathord, "\u03bb", "\\lambda");
+defineSymbol(math, main, mathord, "\u03bc", "\\mu");
+defineSymbol(math, main, mathord, "\u03bd", "\\nu");
+defineSymbol(math, main, mathord, "\u03be", "\\xi");
+defineSymbol(math, main, mathord, "o", "\\omicron");
+defineSymbol(math, main, mathord, "\u03c0", "\\pi");
+defineSymbol(math, main, mathord, "\u03c1", "\\rho");
+defineSymbol(math, main, mathord, "\u03c3", "\\sigma");
+defineSymbol(math, main, mathord, "\u03c4", "\\tau");
+defineSymbol(math, main, mathord, "\u03c5", "\\upsilon");
+defineSymbol(math, main, mathord, "\u03d5", "\\phi");
+defineSymbol(math, main, mathord, "\u03c7", "\\chi");
+defineSymbol(math, main, mathord, "\u03c8", "\\psi");
+defineSymbol(math, main, mathord, "\u03c9", "\\omega");
+defineSymbol(math, main, mathord, "\u03b5", "\\varepsilon");
+defineSymbol(math, main, mathord, "\u03d1", "\\vartheta");
+defineSymbol(math, main, mathord, "\u03d6", "\\varpi");
+defineSymbol(math, main, mathord, "\u03f1", "\\varrho");
+defineSymbol(math, main, mathord, "\u03c2", "\\varsigma");
+defineSymbol(math, main, mathord, "\u03c6", "\\varphi");
+defineSymbol(math, main, bin, "\u2217", "*");
+defineSymbol(math, main, bin, "+", "+");
+defineSymbol(math, main, bin, "\u2212", "-");
+defineSymbol(math, main, bin, "\u22c5", "\\cdot");
+defineSymbol(math, main, bin, "\u2218", "\\circ");
+defineSymbol(math, main, bin, "\u00f7", "\\div");
+defineSymbol(math, main, bin, "\u00b1", "\\pm");
+defineSymbol(math, main, bin, "\u00d7", "\\times");
+defineSymbol(math, main, bin, "\u2229", "\\cap");
+defineSymbol(math, main, bin, "\u222a", "\\cup");
+defineSymbol(math, main, bin, "\u2216", "\\setminus");
+defineSymbol(math, main, bin, "\u2227", "\\land");
+defineSymbol(math, main, bin, "\u2228", "\\lor");
+defineSymbol(math, main, bin, "\u2227", "\\wedge");
+defineSymbol(math, main, bin, "\u2228", "\\vee");
+defineSymbol(math, main, textord, "\u221a", "\\surd");
+defineSymbol(math, main, open, "(", "(");
+defineSymbol(math, main, open, "[", "[");
+defineSymbol(math, main, open, "\u27e8", "\\langle");
+defineSymbol(math, main, open, "\u2223", "\\lvert");
+defineSymbol(math, main, open, "\u2225", "\\lVert");
+defineSymbol(math, main, close, ")", ")");
+defineSymbol(math, main, close, "]", "]");
+defineSymbol(math, main, close, "?", "?");
+defineSymbol(math, main, close, "!", "!");
+defineSymbol(math, main, close, "\u27e9", "\\rangle");
+defineSymbol(math, main, close, "\u2223", "\\rvert");
+defineSymbol(math, main, close, "\u2225", "\\rVert");
+defineSymbol(math, main, rel, "=", "=");
+defineSymbol(math, main, rel, "<", "<");
+defineSymbol(math, main, rel, ">", ">");
+defineSymbol(math, main, rel, ":", ":");
+defineSymbol(math, main, rel, "\u2248", "\\approx");
+defineSymbol(math, main, rel, "\u2245", "\\cong");
+defineSymbol(math, main, rel, "\u2265", "\\ge");
+defineSymbol(math, main, rel, "\u2265", "\\geq");
+defineSymbol(math, main, rel, "\u2190", "\\gets");
+defineSymbol(math, main, rel, ">", "\\gt");
+defineSymbol(math, main, rel, "\u2208", "\\in");
+defineSymbol(math, main, rel, "\u2209", "\\notin");
+defineSymbol(math, main, rel, "\u2282", "\\subset");
+defineSymbol(math, main, rel, "\u2283", "\\supset");
+defineSymbol(math, main, rel, "\u2286", "\\subseteq");
+defineSymbol(math, main, rel, "\u2287", "\\supseteq");
+defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq");
+defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq");
+defineSymbol(math, main, rel, "\u22a8", "\\models");
+defineSymbol(math, main, rel, "\u2190", "\\leftarrow");
+defineSymbol(math, main, rel, "\u2264", "\\le");
+defineSymbol(math, main, rel, "\u2264", "\\leq");
+defineSymbol(math, main, rel, "<", "\\lt");
+defineSymbol(math, main, rel, "\u2260", "\\ne");
+defineSymbol(math, main, rel, "\u2260", "\\neq");
+defineSymbol(math, main, rel, "\u2192", "\\rightarrow");
+defineSymbol(math, main, rel, "\u2192", "\\to");
+defineSymbol(math, ams, rel, "\u2271", "\\ngeq");
+defineSymbol(math, ams, rel, "\u2270", "\\nleq");
+defineSymbol(math, main, spacing, null, "\\!");
+defineSymbol(math, main, spacing, "\u00a0", "\\ ");
+defineSymbol(math, main, spacing, "\u00a0", "~");
+defineSymbol(math, main, spacing, null, "\\,");
+defineSymbol(math, main, spacing, null, "\\:");
+defineSymbol(math, main, spacing, null, "\\;");
+defineSymbol(math, main, spacing, null, "\\enspace");
+defineSymbol(math, main, spacing, null, "\\qquad");
+defineSymbol(math, main, spacing, null, "\\quad");
+defineSymbol(math, main, spacing, "\u00a0", "\\space");
+defineSymbol(math, main, punct, ",", ",");
+defineSymbol(math, main, punct, ";", ";");
+defineSymbol(math, main, punct, ":", "\\colon");
+defineSymbol(math, ams, bin, "\u22bc", "\\barwedge");
+defineSymbol(math, ams, bin, "\u22bb", "\\veebar");
+defineSymbol(math, main, bin, "\u2299", "\\odot");
+defineSymbol(math, main, bin, "\u2295", "\\oplus");
+defineSymbol(math, main, bin, "\u2297", "\\otimes");
+defineSymbol(math, main, textord, "\u2202", "\\partial");
+defineSymbol(math, main, bin, "\u2298", "\\oslash");
+defineSymbol(math, ams, bin, "\u229a", "\\circledcirc");
+defineSymbol(math, ams, bin, "\u22a1", "\\boxdot");
+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(math, main, close, "}", "\\}");
+defineSymbol(math, main, open, "{", "\\lbrace");
+defineSymbol(math, main, close, "}", "\\rbrace");
+defineSymbol(math, main, open, "[", "\\lbrack");
+defineSymbol(math, main, close, "]", "\\rbrack");
+defineSymbol(math, main, open, "\u230a", "\\lfloor");
+defineSymbol(math, main, close, "\u230b", "\\rfloor");
+defineSymbol(math, main, open, "\u2308", "\\lceil");
+defineSymbol(math, main, close, "\u2309", "\\rceil");
+defineSymbol(math, main, textord, "\\", "\\backslash");
+defineSymbol(math, main, textord, "\u2223", "|");
+defineSymbol(math, main, textord, "\u2223", "\\vert");
+defineSymbol(math, main, textord, "\u2225", "\\|");
+defineSymbol(math, main, textord, "\u2225", "\\Vert");
+defineSymbol(math, main, rel, "\u2191", "\\uparrow");
+defineSymbol(math, main, rel, "\u21d1", "\\Uparrow");
+defineSymbol(math, main, rel, "\u2193", "\\downarrow");
+defineSymbol(math, main, rel, "\u21d3", "\\Downarrow");
+defineSymbol(math, main, rel, "\u2195", "\\updownarrow");
+defineSymbol(math, main, rel, "\u21d5", "\\Updownarrow");
+defineSymbol(math, math, op, "\u2210", "\\coprod");
+defineSymbol(math, math, op, "\u22c1", "\\bigvee");
+defineSymbol(math, math, op, "\u22c0", "\\bigwedge");
+defineSymbol(math, math, op, "\u2a04", "\\biguplus");
+defineSymbol(math, math, op, "\u22c2", "\\bigcap");
+defineSymbol(math, math, op, "\u22c3", "\\bigcup");
+defineSymbol(math, math, op, "\u222b", "\\int");
+defineSymbol(math, math, op, "\u222b", "\\intop");
+defineSymbol(math, math, op, "\u222c", "\\iint");
+defineSymbol(math, math, op, "\u222d", "\\iiint");
+defineSymbol(math, math, op, "\u220f", "\\prod");
+defineSymbol(math, math, op, "\u2211", "\\sum");
+
+defineSymbol(math, math, op, "\u2a02", "\\bigotimes");
+defineSymbol(math, math, op, "\u2a01", "\\bigoplus");
+defineSymbol(math, math, op, "\u2a00", "\\bigodot");
+defineSymbol(math, math, op, "\u222e", "\\oint");
+defineSymbol(math, math, op, "\u2a06", "\\bigsqcup");
+defineSymbol(math, math, op, "\u222b", "\\smallint");
+defineSymbol(math, main, inner, "\u2026", "\\ldots");
+defineSymbol(math, main, inner, "\u22ef", "\\cdots");
+defineSymbol(math, main, inner, "\u22f1", "\\ddots");
+defineSymbol(math, main, textord, "\u22ee", "\\vdots");
+defineSymbol(math, main, accent, "\u00b4", "\\acute");
+defineSymbol(math, main, accent, "\u0060", "\\grave");
+defineSymbol(math, main, accent, "\u00a8", "\\ddot");
+defineSymbol(math, main, accent, "\u007e", "\\tilde");
+defineSymbol(math, main, accent, "\u00af", "\\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, mathord, "\u0131", "\\imath");
+defineSymbol(math, main, mathord, "\u0237", "\\jmath");
+
+
+defineSymbol(text, main, spacing, "\u00a0", "\\ ");
+defineSymbol(text, main, spacing, "\u00a0", " ");
+defineSymbol(text, main, spacing, "\u00a0", "~");
+
+// There are lots of symbols which are the same, so we add them in afterwards.
+var i;
+var ch;
+
+// All of these are textords in math mode
+var mathTextSymbols = "0123456789/@.\"";
+for (i = 0; i < mathTextSymbols.length; i++) {
+    ch = mathTextSymbols.charAt(i);
+    defineSymbol(math, main, textord, ch, ch);
+}
+
+// All of these are textords in text mode
+var textSymbols = "0123456789`!@*()-=+[]'\";:?/.,";
+for (i = 0; i < textSymbols.length; i++) {
+    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 (i = 0; i < letters.length; i++) {
+    ch = letters.charAt(i);
+    defineSymbol(math, main, mathord, ch, ch);
+    defineSymbol(text, main, textord, ch, ch);
+}

katex/src/utils.js

@@ -0,0 +1,106 @@
+/**
+ * This file contains a list of utility functions which are useful in other
+ * files.
+ */
+
+/**
+ * Provide an `indexOf` function which works in IE8, but defers to native if
+ * possible.
+ */
+var nativeIndexOf = Array.prototype.indexOf;
+var indexOf = function(list, elem) {
+    if (list == null) {
+        return -1;
+    }
+    if (nativeIndexOf && list.indexOf === nativeIndexOf) {
+        return list.indexOf(elem);
+    }
+    var i = 0;
+    var l = list.length;
+    for (; i < l; i++) {
+        if (list[i] === elem) {
+            return i;
+        }
+    }
+    return -1;
+};
+
+/**
+ * Return whether an element is contained in a list
+ */
+var contains = function(list, elem) {
+    return indexOf(list, elem) !== -1;
+};
+
+/**
+ * Provide a default value if a setting is undefined
+ */
+var deflt = function(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(str) {
+    return str.replace(uppercase, "-$1").toLowerCase();
+};
+
+var ESCAPE_LOOKUP = {
+    "&": "&amp;",
+    ">": "&gt;",
+    "<": "&lt;",
+    "\"": "&quot;",
+    "'": "&#x27;",
+};
+
+var ESCAPE_REGEX = /[&><"']/g;
+
+function escaper(match) {
+    return ESCAPE_LOOKUP[match];
+}
+
+/**
+ * Escapes text to prevent scripting attacks.
+ *
+ * @param {*} text Text value to escape.
+ * @return {string} An escaped string.
+ */
+function escape(text) {
+    return ("" + text).replace(ESCAPE_REGEX, escaper);
+}
+
+/**
+ * A function to set the text content of a DOM element in all supported
+ * browsers. Note that we don't define this if there is no document.
+ */
+var setTextContent;
+if (typeof document !== "undefined") {
+    var testNode = document.createElement("span");
+    if ("textContent" in testNode) {
+        setTextContent = function(node, text) {
+            node.textContent = text;
+        };
+    } else {
+        setTextContent = function(node, text) {
+            node.innerText = text;
+        };
+    }
+}
+
+/**
+ * A function to clear a node.
+ */
+function clearNode(node) {
+    setTextContent(node, "");
+}
+
+module.exports = {
+    contains: contains,
+    deflt: deflt,
+    escape: escape,
+    hyphenate: hyphenate,
+    indexOf: indexOf,
+    setTextContent: setTextContent,
+    clearNode: clearNode,
+};

match-at/README.md

@@ -0,0 +1 @@
+# match-at [![Build Status](https://travis-ci.org/spicyj/match-at.svg?branch=master)](https://travis-ci.org/spicyj/match-at)

match-at/lib/__tests__/matchAt-test.js

@@ -0,0 +1,90 @@
+"use strict";
+
+describe("matchAt", function () {
+
+  var matchAt;
+
+  beforeEach(function () {
+    matchAt = require("../matchAt.js");
+  });
+
+  it("matches a simple regex", function () {
+    expect(matchAt(/l/, "hello", 0)).toBe(null);
+    expect(matchAt(/l/, "hello", 1)).toBe(null);
+    expect(matchAt(/l/, "hello", 4)).toBe(null);
+    expect(matchAt(/l/, "hello", 5)).toBe(null);
+
+    var match = matchAt(/l/, "hello", 2);
+    expect(Array.isArray(match)).toBe(true);
+    expect(match.index).toBe(2);
+    expect(match.input).toBe("hello");
+    expect(match[0]).toBe("l");
+    expect(match[1]).toBe(undefined);
+    expect(match.length).toBe(1);
+
+    var match = matchAt(/l/, "hello", 3);
+    expect(Array.isArray(match)).toBe(true);
+    expect(match.index).toBe(3);
+    expect(match.input).toBe("hello");
+    expect(match[0]).toBe("l");
+    expect(match[1]).toBe(undefined);
+    expect(match.length).toBe(1);
+  });
+
+  it("matches a zero-length regex", function () {
+    expect(matchAt(/(?=l)/, "hello", 0)).toBe(null);
+    expect(matchAt(/(?=l)/, "hello", 1)).toBe(null);
+    expect(matchAt(/(?=l)/, "hello", 4)).toBe(null);
+    expect(matchAt(/(?=l)/, "hello", 5)).toBe(null);
+
+    var match = matchAt(/(?=l)/, "hello", 2);
+    expect(Array.isArray(match)).toBe(true);
+    expect(match.index).toBe(2);
+    expect(match.input).toBe("hello");
+    expect(match[0]).toBe("");
+    expect(match[1]).toBe(undefined);
+    expect(match.length).toBe(1);
+
+    var match = matchAt(/(?=l)/, "hello", 3);
+    expect(Array.isArray(match)).toBe(true);
+    expect(match.index).toBe(3);
+    expect(match.input).toBe("hello");
+    expect(match[0]).toBe("");
+    expect(match[1]).toBe(undefined);
+    expect(match.length).toBe(1);
+  });
+
+  it("matches a regex with capturing groups", function () {
+    expect(matchAt(/(l)(l)?/, "hello", 0)).toBe(null);
+    expect(matchAt(/(l)(l)?/, "hello", 1)).toBe(null);
+    expect(matchAt(/(l)(l)?/, "hello", 4)).toBe(null);
+    expect(matchAt(/(l)(l)?/, "hello", 5)).toBe(null);
+
+    var match = matchAt(/(l)(l)?/, "hello", 2);
+    expect(Array.isArray(match)).toBe(true);
+    expect(match.index).toBe(2);
+    expect(match.input).toBe("hello");
+    expect(match[0]).toBe("ll");
+    expect(match[1]).toBe("l");
+    expect(match[2]).toBe("l");
+    expect(match.length).toBe(3);
+
+    var match = matchAt(/(l)(l)?/, "hello", 3);
+    expect(Array.isArray(match)).toBe(true);
+    expect(match.index).toBe(3);
+    expect(match.input).toBe("hello");
+    expect(match[0]).toBe("l");
+    expect(match[1]).toBe("l");
+    expect(match[2]).toBe(undefined);
+    expect(match.length).toBe(3);
+  });
+
+  it("copies flags over", function () {
+    expect(matchAt(/L/i, "hello", 0)).toBe(null);
+    expect(matchAt(/L/i, "hello", 1)).toBe(null);
+    expect(matchAt(/L/i, "hello", 2)).not.toBe(null);
+    expect(matchAt(/L/i, "hello", 3)).not.toBe(null);
+    expect(matchAt(/L/i, "hello", 4)).toBe(null);
+    expect(matchAt(/L/i, "hello", 5)).toBe(null);
+  });
+});

match-at/lib/matchAt.js

@@ -0,0 +1,42 @@
+/** @flow */
+
+"use strict";
+
+function getRelocatable(re) {
+  // In the future, this could use a WeakMap instead of an expando.
+  if (!re.__matchAtRelocatable) {
+    // Disjunctions are the lowest-precedence operator, so we can make any
+    // pattern match the empty string by appending `|()` to it:
+    // https://people.mozilla.org/~jorendorff/es6-draft.html#sec-patterns
+    var source = re.source + "|()";
+
+    // We always make the new regex global.
+    var flags = "g" + (re.ignoreCase ? "i" : "") + (re.multiline ? "m" : "") + (re.unicode ? "u" : "")
+    // sticky (/.../y) doesn't make sense in conjunction with our relocation
+    // logic, so we ignore it here.
+    ;
+
+    re.__matchAtRelocatable = new RegExp(source, flags);
+  }
+  return re.__matchAtRelocatable;
+}
+
+function matchAt(re, str, pos) {
+  if (re.global || re.sticky) {
+    throw new Error("matchAt(...): Only non-global regexes are supported");
+  }
+  var reloc = getRelocatable(re);
+  reloc.lastIndex = pos;
+  var match = reloc.exec(str);
+  // Last capturing group is our sentinel that indicates whether the regex
+  // matched at the given location.
+  if (match[match.length - 1] == null) {
+    // Original regex matched.
+    match.length = match.length - 1;
+    return match;
+  } else {
+    return null;
+  }
+}
+
+module.exports = matchAt;

match-at/package.json

@@ -0,0 +1,54 @@
+{
+  "name": "match-at",
+  "version": "0.1.0",
+  "description": "Relocatable regular expressions.",
+  "repository": {
+    "type": "git",
+    "url": "https://github.com/spicyj/match-at"
+  },
+  "main": "lib/matchAt.js",
+  "files": [
+    "lib/"
+  ],
+  "devDependencies": {
+    "babel": "^4.7.16",
+    "jest-cli": "^0.4.0",
+    "react-tools": "^0.13.1"
+  },
+  "jest": {
+    "scriptPreprocessor": "<rootDir>/jestSupport/preprocessor.js",
+    "unmockedModulePathPatterns": [
+      ""
+    ]
+  },
+  "scripts": {
+    "prepublish": "babel -d lib/ src/",
+    "test": "jest"
+  },
+  "gitHead": "4197daff69720734c72ba3321ed68a41c0527fb2",
+  "bugs": {
+    "url": "https://github.com/spicyj/match-at/issues"
+  },
+  "homepage": "https://github.com/spicyj/match-at",
+  "_id": "match-at@0.1.0",
+  "_shasum": "f561e7709ff9a105b85cc62c6b8ee7c15bf24f31",
+  "_from": "match-at@",
+  "_npmVersion": "2.2.0",
+  "_nodeVersion": "0.10.35",
+  "_npmUser": {
+    "name": "spicyj",
+    "email": "ben@benalpert.com"
+  },
+  "maintainers": [
+    {
+      "name": "spicyj",
+      "email": "ben@benalpert.com"
+    }
+  ],
+  "dist": {
+    "shasum": "f561e7709ff9a105b85cc62c6b8ee7c15bf24f31",
+    "tarball": "https://registry.npmjs.org/match-at/-/match-at-0.1.0.tgz"
+  },
+  "directories": {},
+  "_resolved": "https://registry.npmjs.org/match-at/-/match-at-0.1.0.tgz"
+}

preprocess_latex.js

@@ -0,0 +1,395 @@
+var katex = require("./katex/katex.js")
+options = require("./katex/src/Options.js")
+var readline = require('readline');
+var rl = readline.createInterface({
+    input: process.stdin,
+    output: process.stdout,
+    terminal: false
+});
+
+
+rl.on('line', function(line){
+    a = line
+    if (line[0] == "%") {
+        line = line.substr(1, line.length - 1);
+    }
+    line = line.split('%')[0];
+
+    line = line.split('\\~').join(' ');
+    
+    for (var i = 0; i < 300; i++) {
+        line = line.replace(/\\>/, " ");
+        line = line.replace('$', ' ');
+        line = line.replace(/\\label{.*?}/, "");
+    }
+
+    if (line.indexOf("matrix") == -1 && line.indexOf("cases")==-1 &&
+        line.indexOf("array")==-1 && line.indexOf("begin")==-1)  {
+        for (var i = 0; i < 300; i++) {
+            line = line.replace(/\\\\/, "\\,");
+        }
+    }
+    
+
+    line = line + " "
+    // global_str is tokenized version (build in parser.js)
+    // norm_str is normalized version build by renderer below.
+    //Yuntiantry {
+    
+
+        if (process.argv[2] == "tokenize") {
+            var tree = katex.__parse(line, {});
+            console.log(global_str.replace(/\\label { .*? }/, ""));
+        } else {
+            for (var i = 0; i < 300; ++i) {
+                line = line.replace(/{\\rm/, "\\mathrm{");
+                line = line.replace(/{ \\rm/, "\\mathrm{");
+                line = line.replace(/\\rm{/, "\\mathrm{");
+            }
+
+            var tree = katex.__parse(line, {});
+            buildExpression(tree, new options({}));            
+            for (var i = 0; i < 300; ++i) {
+                norm_str = norm_str.replace('SSSSSS', '$');
+                norm_str = norm_str.replace(' S S S S S S', '$');
+            }
+            console.log(norm_str.replace(/\\label { .*? }/, ""));
+        }
+    //} catch (e) {
+    //    console.error(line);
+    //    console.error(norm_str);
+    //    console.error(e);
+    //    console.log("");
+    //}
+    global_str = ""
+    norm_str = ""
+})
+
+
+
+// This is a LaTeX AST to LaTeX Renderer (modified version of KaTeX AST-> MathML).
+norm_str = ""
+
+var groupTypes = {};
+
+groupTypes.mathord = function(group, options) {
+    if (options.font == "mathrm"){
+        for (i = 0; i < group.value.length; ++i ) {
+            if (group.value[i] == " ") {
+                norm_str = norm_str + group.value[i] + "\; ";
+            } else {
+                norm_str = norm_str + group.value[i] + " ";
+            }
+        }
+    } else {
+        norm_str = norm_str + group.value + " ";
+    }
+};
+
+groupTypes.textord = function(group, options) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.bin = function(group) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.rel = function(group) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.open = function(group) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.close = function(group) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.inner = function(group) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.punct = function(group) {
+    norm_str = norm_str + group.value + " ";
+};
+
+groupTypes.ordgroup = function(group, options) {
+    norm_str = norm_str + "{ ";
+
+    buildExpression(group.value, options);
+
+    norm_str = norm_str +  "} ";
+};
+
+groupTypes.text = function(group, options) {
+    
+    norm_str = norm_str + "\\mathrm { ";
+
+    buildExpression(group.value.body, options);
+    norm_str = norm_str + "} ";
+};
+
+groupTypes.color = function(group, options) {
+    var inner = buildExpression(group.value.value, options);
+
+    var node = new mathMLTree.MathNode("mstyle", inner);
+
+    node.setAttribute("mathcolor", group.value.color);
+
+    return node;
+};
+
+groupTypes.supsub = function(group, options) {
+    buildGroup(group.value.base, options);
+
+    if (group.value.sub) {
+        norm_str = norm_str + "_ ";
+        if (group.value.sub.type != 'ordgroup') {
+            norm_str = norm_str + " { ";
+            buildGroup(group.value.sub, options);
+            norm_str = norm_str + "} ";
+        } else {
+            buildGroup(group.value.sub, options);
+        }
+        
+    }
+
+    if (group.value.sup) {
+        norm_str = norm_str + "^ ";
+        if (group.value.sup.type != 'ordgroup') {
+            norm_str = norm_str + " { ";
+            buildGroup(group.value.sup, options);
+            norm_str = norm_str + "} ";
+        } else {
+            buildGroup(group.value.sup, options);
+        }
+    }
+
+};
+
+groupTypes.genfrac = function(group, options) {
+    if (!group.value.hasBarLine) {
+        norm_str = norm_str + "\\binom ";
+    } else {
+        norm_str = norm_str + "\\frac ";
+    }
+    buildGroup(group.value.numer, options);
+    buildGroup(group.value.denom, options);
+
+};
+
+groupTypes.array = function(group, options) {
+    norm_str = norm_str + "\\begin{" + group.value.style + "} ";
+
+    if (group.value.style == "array" || group.value.style == "tabular") {
+        norm_str = norm_str + "{ ";
+        if (group.value.cols) {
+            group.value.cols.map(function(start) {
+                if (start) {
+                    if (start.type == "align") {
+                        norm_str = norm_str + start.align + " ";
+                    } else if (start.type == "separator") {
+                        norm_str = norm_str + start.separator + " ";
+                    }
+                }
+            });
+        } else {
+            group.value.body[0].map(function(start) {
+                norm_str = norm_str + "c ";
+            } );
+        }
+        norm_str = norm_str + "} ";
+    }
+    group.value.body.map(function(row) {
+        if (row.length > 1 || row[0].value.length > 0) {
+            if (row[0].value[0] && row[0].value[0].value == "\\hline") {
+                norm_str = norm_str + "\\hline ";
+                row[0].value = row[0].value.slice(1);
+            }
+            out = row.map(function(cell) {
+                buildGroup(cell, options);
+                norm_str = norm_str + "& ";
+            });
+            norm_str = norm_str.substring(0, norm_str.length-2) + "\\\\ ";
+        }
+    }); 
+    norm_str = norm_str + "\\end{" + group.value.style + "} ";
+};
+
+groupTypes.sqrt = function(group, options) {
+    var node;
+    if (group.value.index) {
+        norm_str = norm_str + "\\sqrt [ " + group.value.index + " ] ";
+        buildGroup(group.value.body, options);
+    } else {
+        norm_str = norm_str + "\\sqrt ";
+        buildGroup(group.value.body, options);
+    }
+};
+
+groupTypes.leftright = function(group, options) {
+
+
+
+    norm_str = norm_str + "\\left" + group.value.left + " ";
+    buildExpression(group.value.body, options);
+    norm_str = norm_str + "\\right" + group.value.right + " ";
+};
+
+groupTypes.accent = function(group, options) {
+    if (group.value.base.type != 'ordgroup') {
+        norm_str = norm_str + group.value.accent + " { ";
+        buildGroup(group.value.base, options);
+        norm_str = norm_str + "} ";
+    } else {
+        norm_str = norm_str + group.value.accent + " ";
+        buildGroup(group.value.base, options);
+    }
+};
+
+groupTypes.spacing = function(group) {
+    var node;
+    if (group.value == " ") {
+        norm_str = norm_str + "~ ";
+    } else {
+        norm_str = norm_str + group.value + " ";
+    }
+    return node;
+};
+
+groupTypes.op = function(group) {
+    var node;
+
+    // TODO(emily): handle big operators using the `largeop` attribute
+    
+    
+    if (group.value.symbol) {
+        // This is a symbol. Just add the symbol.
+        norm_str = norm_str + group.value.body + " ";
+
+    } else {
+        if (group.value.limits == false) {
+            norm_str = norm_str + "\\\operatorname { ";
+        } else {
+            norm_str = norm_str + "\\\operatorname* { ";
+        }
+        for (i = 1; i < group.value.body.length; ++i ) {
+            norm_str = norm_str + group.value.body[i] + " ";
+        }
+        norm_str = norm_str + "} ";
+    }
+};
+
+groupTypes.katex = function(group) {
+    var node = new mathMLTree.MathNode(
+        "mtext", [new mathMLTree.TextNode("KaTeX")]);
+
+    return node;
+};
+
+
+
+groupTypes.font = function(group, options) {
+    var font = group.value.font;
+    if (font == "mbox" || font == "hbox") {
+        font = "mathrm";
+    }
+    norm_str = norm_str + "\\" + font + " ";
+    buildGroup(group.value.body, options.withFont(font));    
+};
+
+groupTypes.delimsizing = function(group) {
+    var children = [];
+    norm_str = norm_str + group.value.funcName + " " + group.value.value + " ";
+};
+
+groupTypes.styling = function(group, options) {
+    norm_str = norm_str + " " + group.value.original + " ";
+    buildExpression(group.value.value, options);
+
+};
+
+groupTypes.sizing = function(group, options) {
+
+    if (group.value.original == "\\rm") {
+        norm_str = norm_str + "\\mathrm { "; 
+        buildExpression(group.value.value, options.withFont("mathrm"));
+        norm_str = norm_str + "} ";
+    } else {
+        norm_str = norm_str + " " + group.value.original + " ";
+        buildExpression(group.value.value, options);
+    }
+};
+
+groupTypes.overline = function(group, options) {
+    norm_str = norm_str + "\\overline { ";
+    
+    buildGroup(group.value.body, options);
+    norm_str = norm_str + "} ";
+    norm_str = norm_str;
+
+};
+
+groupTypes.underline = function(group, options) {
+    norm_str = norm_str + "\\underline { ";
+    buildGroup(group.value.body, options);
+    norm_str = norm_str + "} ";
+
+    norm_str = norm_str;
+
+};
+
+groupTypes.rule = function(group) {
+    norm_str = norm_str + "\\rule { "+group.value.width.number+" "+group.value.width.unit+"  } { "+group.value.height.number+" "+group.value.height.unit+ " } ";
+
+};
+
+groupTypes.llap = function(group, options) {
+    norm_str = norm_str + "\\llap ";
+    buildGroup(group.value.body, options);
+};
+
+groupTypes.rlap = function(group, options) {
+    norm_str = norm_str + "\\rlap ";
+    buildGroup(group.value.body, options);
+
+};
+
+groupTypes.phantom = function(group, options, prev) {
+    norm_str = norm_str + "\\phantom { ";
+    buildExpression(group.value.value, options);
+    norm_str = norm_str + "} ";
+
+};
+
+/**
+ * Takes a list of nodes, builds them, and returns a list of the generated
+ * MathML nodes. A little simpler than the HTML version because we don't do any
+ * previous-node handling.
+ */
+var buildExpression = function(expression, options) {
+    var groups = [];
+    for (var i = 0; i < expression.length; i++) {
+        var group = expression[i];
+        buildGroup(group, options);
+    }
+    // console.log(norm_str);
+    // return groups;
+};
+
+/**
+ * Takes a group from the parser and calls the appropriate groupTypes function
+ * on it to produce a MathML node.
+ */
+var buildGroup = function(group, options) {
+    if (groupTypes[group.type]) {
+        groupTypes[group.type](group, options);
+    } else {
+        throw new ParseError(
+            "Got group of unknown type: '" + group.type + "'");
+    }
+};
+
+
+