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* These objects store the data about the DOM nodes we create, as well as some\n * extra data. They can then be transformed into real DOM nodes with the\n * `toNode` function or HTML markup using `toMarkup`. They are useful for both\n * storing extra properties on the nodes, as well as providing a way to easily\n * work with the DOM.\n *\n * Similar functions for working with MathML nodes exist in mathMLTree.js.\n */\n\nvar utils = require(\"./utils\");\n\n/**\n * Create an HTML className based on a list of classes. In addition to joining\n * with spaces, we also remove null or empty classes.\n */\nvar createClass = function(classes) {\n    classes = classes.slice();\n    for (var i = classes.length - 1; i >= 0; i--) {\n        if (!classes[i]) {\n            classes.splice(i, 1);\n        }\n    }\n\n    return classes.join(\" \");\n};\n\n/**\n * This node represents a span node, with a className, a list of children, and\n * an inline style. It also contains information about its height, depth, and\n * maxFontSize.\n */\nfunction span(classes, children, height, depth, maxFontSize, style) {\n    this.classes = classes || [];\n    this.children = children || [];\n    this.height = height || 0;\n    this.depth = depth || 0;\n    this.maxFontSize = maxFontSize || 0;\n    this.style = style || {};\n    this.attributes = {};\n}\n\n/**\n * Sets an arbitrary attribute on the span. Warning: use this wisely. Not all\n * browsers support attributes the same, and having too many custom attributes\n * is probably bad.\n */\nspan.prototype.setAttribute = function(attribute, value) {\n    this.attributes[attribute] = value;\n};\n\n/**\n * Convert the span into an HTML node\n */\nspan.prototype.toNode = function() {\n    var span = document.createElement(\"span\");\n\n    // Apply the class\n    span.className = createClass(this.classes);\n\n    // Apply inline styles\n    for (var style in this.style) {\n        if (Object.prototype.hasOwnProperty.call(this.style, style)) {\n            span.style[style] = this.style[style];\n        }\n    }\n\n    // Apply attributes\n    for (var attr in this.attributes) {\n        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n            span.setAttribute(attr, this.attributes[attr]);\n        }\n    }\n\n    // Append the children, also as HTML nodes\n    for (var i = 0; i < this.children.length; i++) {\n        span.appendChild(this.children[i].toNode());\n    }\n\n    return span;\n};\n\n/**\n * Convert the span into an HTML markup string\n */\nspan.prototype.toMarkup = function() {\n    var markup = \"<span\";\n\n    // Add the class\n    if (this.classes.length) {\n        markup += \" class=\\\"\";\n        markup += utils.escape(createClass(this.classes));\n        markup += \"\\\"\";\n    }\n\n    var styles = \"\";\n\n    // Add the styles, after hyphenation\n    for (var style in this.style) {\n        if (this.style.hasOwnProperty(style)) {\n            styles += utils.hyphenate(style) + \":\" + this.style[style] + \";\";\n        }\n    }\n\n    if (styles) {\n        markup += \" style=\\\"\" + utils.escape(styles) + \"\\\"\";\n    }\n\n    // Add the attributes\n    for (var attr in this.attributes) {\n        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n            markup += \" \" + attr + \"=\\\"\";\n            markup += utils.escape(this.attributes[attr]);\n            markup += \"\\\"\";\n        }\n    }\n\n    markup += \">\";\n\n    // Add the markup of the children, also as markup\n    for (var i = 0; i < this.children.length; i++) {\n        markup += this.children[i].toMarkup();\n    }\n\n    markup += \"</span>\";\n\n    return markup;\n};\n\n/**\n * This node represents a document fragment, which contains elements, but when\n * placed into the DOM doesn't have any representation itself. Thus, it only\n * contains children and doesn't have any HTML properties. It also keeps track\n * of a height, depth, and maxFontSize.\n */\nfunction documentFragment(children, height, depth, maxFontSize) {\n    this.children = children || [];\n    this.height = height || 0;\n    this.depth = depth || 0;\n    this.maxFontSize = maxFontSize || 0;\n}\n\n/**\n * Convert the fragment into a node\n */\ndocumentFragment.prototype.toNode = function() {\n    // Create a fragment\n    var frag = document.createDocumentFragment();\n\n    // Append the children\n    for (var i = 0; i < this.children.length; i++) {\n        frag.appendChild(this.children[i].toNode());\n    }\n\n    return frag;\n};\n\n/**\n * Convert the fragment into HTML markup\n */\ndocumentFragment.prototype.toMarkup = function() {\n    var markup = \"\";\n\n    // Simply concatenate the markup for the children together\n    for (var i = 0; i < this.children.length; i++) {\n        markup += this.children[i].toMarkup();\n    }\n\n    return markup;\n};\n\n/**\n * A symbol node contains information about a single symbol. It either renders\n * to a single text node, or a span with a single text node in it, depending on\n * whether it has CSS classes, styles, or needs italic correction.\n */\nfunction symbolNode(value, height, depth, italic, skew, classes, style) {\n    this.value = value || \"\";\n    this.height = height || 0;\n    this.depth = depth || 0;\n    this.italic = italic || 0;\n    this.skew = skew || 0;\n    this.classes = classes || [];\n    this.style = style || {};\n    this.maxFontSize = 0;\n}\n\n/**\n * Creates a text node or span from a symbol node. Note that a span is only\n * created if it is needed.\n */\nsymbolNode.prototype.toNode = function() {\n    var node = document.createTextNode(this.value);\n    var span = null;\n\n    if (this.italic > 0) {\n        span = document.createElement(\"span\");\n        span.style.marginRight = this.italic + \"em\";\n    }\n\n    if (this.classes.length > 0) {\n        span = span || document.createElement(\"span\");\n        span.className = createClass(this.classes);\n    }\n\n    for (var style in this.style) {\n        if (this.style.hasOwnProperty(style)) {\n            span = span || document.createElement(\"span\");\n            span.style[style] = this.style[style];\n        }\n    }\n\n    if (span) {\n        span.appendChild(node);\n        return span;\n    } else {\n        return node;\n    }\n};\n\n/**\n * Creates markup for a symbol node.\n */\nsymbolNode.prototype.toMarkup = function() {\n    // TODO(alpert): More duplication than I'd like from\n    // span.prototype.toMarkup and symbolNode.prototype.toNode...\n    var needsSpan = false;\n\n    var markup = \"<span\";\n\n    if (this.classes.length) {\n        needsSpan = true;\n        markup += \" class=\\\"\";\n        markup += utils.escape(createClass(this.classes));\n        markup += \"\\\"\";\n    }\n\n    var styles = \"\";\n\n    if (this.italic > 0) {\n        styles += \"margin-right:\" + this.italic + \"em;\";\n    }\n    for (var style in this.style) {\n        if (this.style.hasOwnProperty(style)) {\n            styles += utils.hyphenate(style) + \":\" + this.style[style] + \";\";\n        }\n    }\n\n    if (styles) {\n        needsSpan = true;\n        markup += \" style=\\\"\" + utils.escape(styles) + \"\\\"\";\n    }\n\n    var escaped = utils.escape(this.value);\n    if (needsSpan) {\n        markup += \">\";\n        markup += escaped;\n        markup += \"</span>\";\n        return markup;\n    } else {\n        return escaped;\n    }\n};\n\nmodule.exports = {\n    span: span,\n    documentFragment: documentFragment,\n    symbolNode: symbolNode,\n};\n","/**\n * This file holds a list of all no-argument functions and single-character\n * symbols (like 'a' or ';').\n *\n * For each of the symbols, there are three properties they can have:\n * - font (required): the font to be used for this symbol. Either \"main\" (the\n     normal font), or \"ams\" (the ams fonts).\n * - group (required): the ParseNode group type the symbol should have (i.e.\n     \"textord\", \"mathord\", etc).\n     See https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types\n * - replace: the character that this symbol or function should be\n *   replaced with (i.e. \"\\phi\" has a replace value of \"\\u03d5\", the phi\n *   character in the main font).\n *\n * The outermost map in the table indicates what mode the symbols should be\n * accepted in (e.g. \"math\" or \"text\").\n */\n\nmodule.exports = {\n    math: {},\n    text: {},\n};\n\nfunction defineSymbol(mode, font, group, replace, name) {\n    module.exports[mode][name] = {\n        font: font,\n        group: group,\n        replace: replace,\n    };\n}\n\n// Some abbreviations for commonly used strings.\n// This helps minify the code, and also spotting typos using jshint.\n\n// modes:\nvar math = \"math\";\nvar text = \"text\";\n\n// fonts:\nvar main = \"main\";\nvar ams = \"ams\";\n\n// groups:\nvar accent = \"accent\";\nvar bin = \"bin\";\nvar close = \"close\";\nvar inner = \"inner\";\nvar mathord = \"mathord\";\nvar op = \"op\";\nvar open = \"open\";\nvar punct = \"punct\";\nvar rel = \"rel\";\nvar spacing = \"spacing\";\nvar textord = \"textord\";\n\n// Now comes the symbol table\n\n// Relation Symbols\ndefineSymbol(math, main, rel, \"\\u2261\", \"\\\\equiv\");\ndefineSymbol(math, main, rel, \"\\u227a\", \"\\\\prec\");\ndefineSymbol(math, main, rel, \"\\u227b\", \"\\\\succ\");\ndefineSymbol(math, main, rel, \"\\u223c\", \"\\\\sim\");\ndefineSymbol(math, main, rel, \"\\u22a5\", \"\\\\perp\");\ndefineSymbol(math, main, rel, \"\\u2aaf\", \"\\\\preceq\");\ndefineSymbol(math, main, rel, \"\\u2ab0\", \"\\\\succeq\");\ndefineSymbol(math, main, rel, \"\\u2243\", \"\\\\simeq\");\ndefineSymbol(math, main, rel, \"\\u2223\", \"\\\\mid\");\ndefineSymbol(math, main, rel, \"\\u226a\", \"\\\\ll\");\ndefineSymbol(math, main, rel, \"\\u226b\", \"\\\\gg\");\ndefineSymbol(math, main, rel, \"\\u224d\", \"\\\\asymp\");\ndefineSymbol(math, main, rel, \"\\u2225\", \"\\\\parallel\");\ndefineSymbol(math, main, rel, \"\\u22c8\", \"\\\\bowtie\");\ndefineSymbol(math, main, rel, \"\\u2323\", \"\\\\smile\");\ndefineSymbol(math, main, rel, \"\\u2291\", \"\\\\sqsubseteq\");\ndefineSymbol(math, main, rel, \"\\u2292\", \"\\\\sqsupseteq\");\ndefineSymbol(math, main, rel, \"\\u2250\", \"\\\\doteq\");\ndefineSymbol(math, main, rel, \"\\u2322\", \"\\\\frown\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\ni\");\ndefineSymbol(math, main, rel, \"\\u221d\", \"\\\\propto\");\ndefineSymbol(math, main, rel, \"\\u22a2\", \"\\\\vdash\");\ndefineSymbol(math, main, rel, \"\\u22a3\", \"\\\\dashv\");\ndefineSymbol(math, main, rel, \"\\u220b\", \"\\\\owns\");\n\n// Punctuation\ndefineSymbol(math, main, punct, \"\\u002e\", \"\\\\ldotp\");\ndefineSymbol(math, main, punct, \"\\u22c5\", \"\\\\cdotp\");\n\n// Misc Symbols\ndefineSymbol(math, main, textord, \"\\u0023\", \"\\\\#\");\ndefineSymbol(math, main, textord, \"\\u0026\", \"\\\\&\");\ndefineSymbol(math, main, textord, \"\\u2135\", \"\\\\aleph\");\ndefineSymbol(math, main, textord, \"\\u2200\", \"\\\\forall\");\ndefineSymbol(math, main, textord, \"\\u210f\", \"\\\\hbar\");\ndefineSymbol(math, main, textord, \"\\u2203\", \"\\\\exists\");\ndefineSymbol(math, main, textord, \"\\u2207\", \"\\\\nabla\");\ndefineSymbol(math, main, textord, \"\\u266d\", \"\\\\flat\");\ndefineSymbol(math, main, textord, \"\\u2113\", \"\\\\ell\");\ndefineSymbol(math, main, textord, \"\\u266e\", \"\\\\natural\");\ndefineSymbol(math, main, textord, \"\\u2663\", \"\\\\clubsuit\");\ndefineSymbol(math, main, textord, \"\\u2118\", \"\\\\wp\");\ndefineSymbol(math, main, textord, \"\\u266f\", \"\\\\sharp\");\ndefineSymbol(math, main, textord, \"\\u2662\", \"\\\\diamondsuit\");\ndefineSymbol(math, main, textord, \"\\u211c\", \"\\\\Re\");\ndefineSymbol(math, main, textord, \"\\u2661\", \"\\\\heartsuit\");\ndefineSymbol(math, main, textord, \"\\u2111\", \"\\\\Im\");\ndefineSymbol(math, main, textord, \"\\u2660\", \"\\\\spadesuit\");\n\n// Math and Text\ndefineSymbol(math, main, textord, \"\\u2020\", \"\\\\dag\");\ndefineSymbol(math, main, textord, \"\\u2021\", \"\\\\ddag\");\n\n// Large Delimiters\ndefineSymbol(math, main, close, \"\\u23b1\", \"\\\\rmoustache\");\ndefineSymbol(math, main, open, \"\\u23b0\", \"\\\\lmoustache\");\ndefineSymbol(math, main, close, \"\\u27ef\", \"\\\\rgroup\");\ndefineSymbol(math, main, open, \"\\u27ee\", \"\\\\lgroup\");\n\n// Binary Operators\ndefineSymbol(math, main, bin, \"\\u2213\", \"\\\\mp\");\ndefineSymbol(math, main, bin, \"\\u2296\", \"\\\\ominus\");\ndefineSymbol(math, main, bin, \"\\u228e\", \"\\\\uplus\");\ndefineSymbol(math, main, bin, \"\\u2293\", \"\\\\sqcap\");\ndefineSymbol(math, main, bin, \"\\u2217\", \"\\\\ast\");\ndefineSymbol(math, main, bin, \"\\u2294\", \"\\\\sqcup\");\ndefineSymbol(math, main, bin, \"\\u25ef\", \"\\\\bigcirc\");\ndefineSymbol(math, main, bin, \"\\u2219\", \"\\\\bullet\");\ndefineSymbol(math, main, bin, \"\\u2021\", \"\\\\ddagger\");\ndefineSymbol(math, main, bin, \"\\u2240\", \"\\\\wr\");\ndefineSymbol(math, main, bin, \"\\u2a3f\", \"\\\\amalg\");\n\n// Arrow Symbols\ndefineSymbol(math, main, rel, \"\\u27f5\", \"\\\\longleftarrow\");\ndefineSymbol(math, main, rel, \"\\u21d0\", \"\\\\Leftarrow\");\ndefineSymbol(math, main, rel, \"\\u27f8\", \"\\\\Longleftarrow\");\ndefineSymbol(math, main, rel, \"\\u27f6\", \"\\\\longrightarrow\");\ndefineSymbol(math, main, rel, \"\\u21d2\", \"\\\\Rightarrow\");\ndefineSymbol(math, main, rel, \"\\u27f9\", \"\\\\Longrightarrow\");\ndefineSymbol(math, main, rel, \"\\u2194\", \"\\\\leftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u27f7\", \"\\\\longleftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u21d4\", \"\\\\Leftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u27fa\", \"\\\\Longleftrightarrow\");\ndefineSymbol(math, main, rel, \"\\u21a6\", \"\\\\mapsto\");\ndefineSymbol(math, main, rel, \"\\u27fc\", \"\\\\longmapsto\");\ndefineSymbol(math, main, rel, \"\\u2197\", \"\\\\nearrow\");\ndefineSymbol(math, main, rel, \"\\u21a9\", \"\\\\hookleftarrow\");\ndefineSymbol(math, main, rel, \"\\u21aa\", \"\\\\hookrightarrow\");\ndefineSymbol(math, main, rel, \"\\u2198\", \"\\\\searrow\");\ndefineSymbol(math, main, rel, \"\\u21bc\", \"\\\\leftharpoonup\");\ndefineSymbol(math, main, rel, \"\\u21c0\", \"\\\\rightharpoonup\");\ndefineSymbol(math, main, rel, \"\\u2199\", \"\\\\swarrow\");\ndefineSymbol(math, main, rel, \"\\u21bd\", \"\\\\leftharpoondown\");\ndefineSymbol(math, main, rel, \"\\u21c1\", \"\\\\rightharpoondown\");\ndefineSymbol(math, main, rel, \"\\u2196\", \"\\\\nwarrow\");\ndefineSymbol(math, main, rel, \"\\u21cc\", \"\\\\rightleftharpoons\");\n\n// AMS Negated Binary Relations\ndefineSymbol(math, ams, rel, \"\\u226e\", \"\\\\nless\");\ndefineSymbol(math, ams, rel, \"\\ue010\", \"\\\\nleqslant\");\ndefineSymbol(math, ams, rel, \"\\ue011\", \"\\\\nleqq\");\ndefineSymbol(math, ams, rel, \"\\u2a87\", \"\\\\lneq\");\ndefineSymbol(math, ams, rel, \"\\u2268\", \"\\\\lneqq\");\ndefineSymbol(math, ams, rel, \"\\ue00c\", \"\\\\lvertneqq\");\ndefineSymbol(math, ams, rel, \"\\u22e6\", \"\\\\lnsim\");\ndefineSymbol(math, ams, rel, \"\\u2a89\", \"\\\\lnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2280\", \"\\\\nprec\");\ndefineSymbol(math, ams, rel, \"\\u22e0\", \"\\\\npreceq\");\ndefineSymbol(math, ams, rel, \"\\u22e8\", \"\\\\precnsim\");\ndefineSymbol(math, ams, rel, \"\\u2ab9\", \"\\\\precnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2241\", \"\\\\nsim\");\ndefineSymbol(math, ams, rel, \"\\ue006\", \"\\\\nshortmid\");\ndefineSymbol(math, ams, rel, \"\\u2224\", \"\\\\nmid\");\ndefineSymbol(math, ams, rel, \"\\u22ac\", \"\\\\nvdash\");\ndefineSymbol(math, ams, rel, \"\\u22ad\", \"\\\\nvDash\");\ndefineSymbol(math, ams, rel, \"\\u22ea\", \"\\\\ntriangleleft\");\ndefineSymbol(math, ams, rel, \"\\u22ec\", \"\\\\ntrianglelefteq\");\ndefineSymbol(math, ams, rel, \"\\u228a\", \"\\\\subsetneq\");\ndefineSymbol(math, ams, rel, \"\\ue01a\", \"\\\\varsubsetneq\");\ndefineSymbol(math, ams, rel, \"\\u2acb\", \"\\\\subsetneqq\");\ndefineSymbol(math, ams, rel, \"\\ue017\", \"\\\\varsubsetneqq\");\ndefineSymbol(math, ams, rel, \"\\u226f\", \"\\\\ngtr\");\ndefineSymbol(math, ams, rel, \"\\ue00f\", \"\\\\ngeqslant\");\ndefineSymbol(math, ams, rel, \"\\ue00e\", \"\\\\ngeqq\");\ndefineSymbol(math, ams, rel, \"\\u2a88\", \"\\\\gneq\");\ndefineSymbol(math, ams, rel, \"\\u2269\", \"\\\\gneqq\");\ndefineSymbol(math, ams, rel, \"\\ue00d\", \"\\\\gvertneqq\");\ndefineSymbol(math, ams, rel, \"\\u22e7\", \"\\\\gnsim\");\ndefineSymbol(math, ams, rel, \"\\u2a8a\", \"\\\\gnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2281\", \"\\\\nsucc\");\ndefineSymbol(math, ams, rel, \"\\u22e1\", \"\\\\nsucceq\");\ndefineSymbol(math, ams, rel, \"\\u22e9\", \"\\\\succnsim\");\ndefineSymbol(math, ams, rel, \"\\u2aba\", \"\\\\succnapprox\");\ndefineSymbol(math, ams, rel, \"\\u2246\", \"\\\\ncong\");\ndefineSymbol(math, ams, rel, \"\\ue007\", \"\\\\nshortparallel\");\ndefineSymbol(math, ams, rel, \"\\u2226\", \"\\\\nparallel\");\ndefineSymbol(math, ams, rel, \"\\u22af\", \"\\\\nVDash\");\ndefineSymbol(math, ams, rel, \"\\u22eb\", \"\\\\ntriangleright\");\ndefineSymbol(math, ams, rel, \"\\u22ed\", \"\\\\ntrianglerighteq\");\ndefineSymbol(math, ams, rel, \"\\ue018\", \"\\\\nsupseteqq\");\ndefineSymbol(math, ams, rel, \"\\u228b\", \"\\\\supsetneq\");\ndefineSymbol(math, ams, rel, \"\\ue01b\", \"\\\\varsupsetneq\");\ndefineSymbol(math, ams, rel, \"\\u2acc\", \"\\\\supsetneqq\");\ndefineSymbol(math, ams, rel, \"\\ue019\", \"\\\\varsupsetneqq\");\ndefineSymbol(math, ams, rel, \"\\u22ae\", \"\\\\nVdash\");\ndefineSymbol(math, ams, rel, \"\\u2ab5\", \"\\\\precneqq\");\ndefineSymbol(math, ams, rel, \"\\u2ab6\", \"\\\\succneqq\");\ndefineSymbol(math, ams, rel, \"\\ue016\", \"\\\\nsubseteqq\");\ndefineSymbol(math, ams, bin, \"\\u22b4\", \"\\\\unlhd\");\ndefineSymbol(math, ams, bin, \"\\u22b5\", \"\\\\unrhd\");\n\n// AMS Negated Arrows\ndefineSymbol(math, ams, rel, \"\\u219a\", \"\\\\nleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u219b\", \"\\\\nrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21cd\", \"\\\\nLeftarrow\");\ndefineSymbol(math, ams, rel, \"\\u21cf\", \"\\\\nRightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21ae\", \"\\\\nleftrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21ce\", \"\\\\nLeftrightarrow\");\n\n// AMS Misc\ndefineSymbol(math, ams, rel, \"\\u25b3\", \"\\\\vartriangle\");\ndefineSymbol(math, ams, textord, \"\\u210f\", \"\\\\hslash\");\ndefineSymbol(math, ams, textord, \"\\u25bd\", \"\\\\triangledown\");\ndefineSymbol(math, ams, textord, \"\\u25ca\", \"\\\\lozenge\");\ndefineSymbol(math, ams, textord, \"\\u24c8\", \"\\\\circledS\");\ndefineSymbol(math, ams, textord, \"\\u00ae\", \"\\\\circledR\");\ndefineSymbol(math, ams, textord, \"\\u2221\", \"\\\\measuredangle\");\ndefineSymbol(math, ams, textord, \"\\u2204\", \"\\\\nexists\");\ndefineSymbol(math, ams, textord, \"\\u2127\", \"\\\\mho\");\ndefineSymbol(math, ams, textord, \"\\u2132\", \"\\\\Finv\");\ndefineSymbol(math, ams, textord, \"\\u2141\", \"\\\\Game\");\ndefineSymbol(math, ams, textord, \"\\u006b\", \"\\\\Bbbk\");\ndefineSymbol(math, ams, textord, \"\\u2035\", \"\\\\backprime\");\ndefineSymbol(math, ams, textord, \"\\u25b2\", \"\\\\blacktriangle\");\ndefineSymbol(math, ams, textord, \"\\u25bc\", \"\\\\blacktriangledown\");\ndefineSymbol(math, ams, textord, \"\\u25a0\", \"\\\\blacksquare\");\ndefineSymbol(math, ams, textord, \"\\u29eb\", \"\\\\blacklozenge\");\ndefineSymbol(math, ams, textord, \"\\u2605\", \"\\\\bigstar\");\ndefineSymbol(math, ams, textord, \"\\u2222\", \"\\\\sphericalangle\");\ndefineSymbol(math, ams, textord, \"\\u2201\", \"\\\\complement\");\ndefineSymbol(math, ams, textord, \"\\u00f0\", \"\\\\eth\");\ndefineSymbol(math, ams, textord, \"\\u2571\", \"\\\\diagup\");\ndefineSymbol(math, ams, textord, \"\\u2572\", \"\\\\diagdown\");\ndefineSymbol(math, ams, textord, \"\\u25a1\", \"\\\\square\");\ndefineSymbol(math, ams, textord, \"\\u25a1\", \"\\\\Box\");\ndefineSymbol(math, ams, textord, \"\\u25ca\", \"\\\\Diamond\");\ndefineSymbol(math, ams, textord, \"\\u00a5\", \"\\\\yen\");\ndefineSymbol(math, ams, textord, \"\\u2713\", \"\\\\checkmark\");\n\n// AMS Hebrew\ndefineSymbol(math, ams, textord, \"\\u2136\", \"\\\\beth\");\ndefineSymbol(math, ams, textord, \"\\u2138\", \"\\\\daleth\");\ndefineSymbol(math, ams, textord, \"\\u2137\", \"\\\\gimel\");\n\n// AMS Greek\ndefineSymbol(math, ams, textord, \"\\u03dd\", \"\\\\digamma\");\ndefineSymbol(math, ams, textord, \"\\u03f0\", \"\\\\varkappa\");\n\n// AMS Delimiters\ndefineSymbol(math, ams, open, \"\\u250c\", \"\\\\ulcorner\");\ndefineSymbol(math, ams, close, \"\\u2510\", \"\\\\urcorner\");\ndefineSymbol(math, ams, open, \"\\u2514\", \"\\\\llcorner\");\ndefineSymbol(math, ams, close, \"\\u2518\", \"\\\\lrcorner\");\n\n// AMS Binary Relations\ndefineSymbol(math, ams, rel, \"\\u2266\", \"\\\\leqq\");\ndefineSymbol(math, ams, rel, \"\\u2a7d\", \"\\\\leqslant\");\ndefineSymbol(math, ams, rel, \"\\u2a95\", \"\\\\eqslantless\");\ndefineSymbol(math, ams, rel, \"\\u2272\", \"\\\\lesssim\");\ndefineSymbol(math, ams, rel, \"\\u2a85\", \"\\\\lessapprox\");\ndefineSymbol(math, ams, rel, \"\\u224a\", \"\\\\approxeq\");\ndefineSymbol(math, ams, bin, \"\\u22d6\", \"\\\\lessdot\");\ndefineSymbol(math, ams, rel, \"\\u22d8\", \"\\\\lll\");\ndefineSymbol(math, ams, rel, \"\\u2276\", \"\\\\lessgtr\");\ndefineSymbol(math, ams, rel, \"\\u22da\", \"\\\\lesseqgtr\");\ndefineSymbol(math, ams, rel, \"\\u2a8b\", \"\\\\lesseqqgtr\");\ndefineSymbol(math, ams, rel, \"\\u2251\", \"\\\\doteqdot\");\ndefineSymbol(math, ams, rel, \"\\u2253\", \"\\\\risingdotseq\");\ndefineSymbol(math, ams, rel, \"\\u2252\", \"\\\\fallingdotseq\");\ndefineSymbol(math, ams, rel, \"\\u223d\", \"\\\\backsim\");\ndefineSymbol(math, ams, rel, \"\\u22cd\", \"\\\\backsimeq\");\ndefineSymbol(math, ams, rel, \"\\u2ac5\", \"\\\\subseteqq\");\ndefineSymbol(math, ams, rel, \"\\u22d0\", \"\\\\Subset\");\ndefineSymbol(math, ams, rel, \"\\u228f\", \"\\\\sqsubset\");\ndefineSymbol(math, ams, rel, \"\\u227c\", \"\\\\preccurlyeq\");\ndefineSymbol(math, ams, rel, \"\\u22de\", \"\\\\curlyeqprec\");\ndefineSymbol(math, ams, rel, \"\\u227e\", \"\\\\precsim\");\ndefineSymbol(math, ams, rel, \"\\u2ab7\", \"\\\\precapprox\");\ndefineSymbol(math, ams, rel, \"\\u22b2\", \"\\\\vartriangleleft\");\ndefineSymbol(math, ams, rel, \"\\u22b4\", \"\\\\trianglelefteq\");\ndefineSymbol(math, ams, rel, \"\\u22a8\", \"\\\\vDash\");\ndefineSymbol(math, ams, rel, \"\\u22aa\", \"\\\\Vvdash\");\ndefineSymbol(math, ams, rel, \"\\u2323\", \"\\\\smallsmile\");\ndefineSymbol(math, ams, rel, \"\\u2322\", \"\\\\smallfrown\");\ndefineSymbol(math, ams, rel, \"\\u224f\", \"\\\\bumpeq\");\ndefineSymbol(math, ams, rel, \"\\u224e\", \"\\\\Bumpeq\");\ndefineSymbol(math, ams, rel, \"\\u2267\", \"\\\\geqq\");\ndefineSymbol(math, ams, rel, \"\\u2a7e\", \"\\\\geqslant\");\ndefineSymbol(math, ams, rel, \"\\u2a96\", \"\\\\eqslantgtr\");\ndefineSymbol(math, ams, rel, \"\\u2273\", \"\\\\gtrsim\");\ndefineSymbol(math, ams, rel, \"\\u2a86\", \"\\\\gtrapprox\");\ndefineSymbol(math, ams, bin, \"\\u22d7\", \"\\\\gtrdot\");\ndefineSymbol(math, ams, rel, \"\\u22d9\", \"\\\\ggg\");\ndefineSymbol(math, ams, rel, \"\\u2277\", \"\\\\gtrless\");\ndefineSymbol(math, ams, rel, \"\\u22db\", \"\\\\gtreqless\");\ndefineSymbol(math, ams, rel, \"\\u2a8c\", \"\\\\gtreqqless\");\ndefineSymbol(math, ams, rel, \"\\u2256\", \"\\\\eqcirc\");\ndefineSymbol(math, ams, rel, \"\\u2257\", \"\\\\circeq\");\ndefineSymbol(math, ams, rel, \"\\u225c\", \"\\\\triangleq\");\ndefineSymbol(math, ams, rel, \"\\u223c\", \"\\\\thicksim\");\ndefineSymbol(math, ams, rel, \"\\u2248\", \"\\\\thickapprox\");\ndefineSymbol(math, ams, rel, \"\\u2ac6\", \"\\\\supseteqq\");\ndefineSymbol(math, ams, rel, \"\\u22d1\", \"\\\\Supset\");\ndefineSymbol(math, ams, rel, \"\\u2290\", \"\\\\sqsupset\");\ndefineSymbol(math, ams, rel, \"\\u227d\", \"\\\\succcurlyeq\");\ndefineSymbol(math, ams, rel, \"\\u22df\", \"\\\\curlyeqsucc\");\ndefineSymbol(math, ams, rel, \"\\u227f\", \"\\\\succsim\");\ndefineSymbol(math, ams, rel, \"\\u2ab8\", \"\\\\succapprox\");\ndefineSymbol(math, ams, rel, \"\\u22b3\", \"\\\\vartriangleright\");\ndefineSymbol(math, ams, rel, \"\\u22b5\", \"\\\\trianglerighteq\");\ndefineSymbol(math, ams, rel, \"\\u22a9\", \"\\\\Vdash\");\ndefineSymbol(math, ams, rel, \"\\u2223\", \"\\\\shortmid\");\ndefineSymbol(math, ams, rel, \"\\u2225\", \"\\\\shortparallel\");\ndefineSymbol(math, ams, rel, \"\\u226c\", \"\\\\between\");\ndefineSymbol(math, ams, rel, \"\\u22d4\", \"\\\\pitchfork\");\ndefineSymbol(math, ams, rel, \"\\u221d\", \"\\\\varpropto\");\ndefineSymbol(math, ams, rel, \"\\u25c0\", \"\\\\blacktriangleleft\");\ndefineSymbol(math, ams, rel, \"\\u2234\", \"\\\\therefore\");\ndefineSymbol(math, ams, rel, \"\\u220d\", \"\\\\backepsilon\");\ndefineSymbol(math, ams, rel, \"\\u25b6\", \"\\\\blacktriangleright\");\ndefineSymbol(math, ams, rel, \"\\u2235\", \"\\\\because\");\ndefineSymbol(math, ams, rel, \"\\u22d8\", \"\\\\llless\");\ndefineSymbol(math, ams, rel, \"\\u22d9\", \"\\\\gggtr\");\ndefineSymbol(math, ams, bin, \"\\u22b2\", \"\\\\lhd\");\ndefineSymbol(math, ams, bin, \"\\u22b3\", \"\\\\rhd\");\ndefineSymbol(math, ams, rel, \"\\u2242\", \"\\\\eqsim\");\ndefineSymbol(math, main, rel, \"\\u22c8\", \"\\\\Join\");\ndefineSymbol(math, ams, rel, \"\\u2251\", \"\\\\Doteq\");\n\n// AMS Binary Operators\ndefineSymbol(math, ams, bin, \"\\u2214\", \"\\\\dotplus\");\ndefineSymbol(math, ams, bin, \"\\u2216\", \"\\\\smallsetminus\");\ndefineSymbol(math, ams, bin, \"\\u22d2\", \"\\\\Cap\");\ndefineSymbol(math, ams, bin, \"\\u22d3\", \"\\\\Cup\");\ndefineSymbol(math, ams, bin, \"\\u2a5e\", \"\\\\doublebarwedge\");\ndefineSymbol(math, ams, bin, \"\\u229f\", \"\\\\boxminus\");\ndefineSymbol(math, ams, bin, \"\\u229e\", \"\\\\boxplus\");\ndefineSymbol(math, ams, bin, \"\\u22c7\", \"\\\\divideontimes\");\ndefineSymbol(math, ams, bin, \"\\u22c9\", \"\\\\ltimes\");\ndefineSymbol(math, ams, bin, \"\\u22ca\", \"\\\\rtimes\");\ndefineSymbol(math, ams, bin, \"\\u22cb\", \"\\\\leftthreetimes\");\ndefineSymbol(math, ams, bin, \"\\u22cc\", \"\\\\rightthreetimes\");\ndefineSymbol(math, ams, bin, \"\\u22cf\", \"\\\\curlywedge\");\ndefineSymbol(math, ams, bin, \"\\u22ce\", \"\\\\curlyvee\");\ndefineSymbol(math, ams, bin, \"\\u229d\", \"\\\\circleddash\");\ndefineSymbol(math, ams, bin, \"\\u229b\", \"\\\\circledast\");\ndefineSymbol(math, ams, bin, \"\\u22c5\", \"\\\\centerdot\");\ndefineSymbol(math, ams, bin, \"\\u22ba\", \"\\\\intercal\");\ndefineSymbol(math, ams, bin, \"\\u22d2\", \"\\\\doublecap\");\ndefineSymbol(math, ams, bin, \"\\u22d3\", \"\\\\doublecup\");\ndefineSymbol(math, ams, bin, \"\\u22a0\", \"\\\\boxtimes\");\n\n// AMS Arrows\ndefineSymbol(math, ams, rel, \"\\u21e2\", \"\\\\dashrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21e0\", \"\\\\dashleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u21c7\", \"\\\\leftleftarrows\");\ndefineSymbol(math, ams, rel, \"\\u21c6\", \"\\\\leftrightarrows\");\ndefineSymbol(math, ams, rel, \"\\u21da\", \"\\\\Lleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u219e\", \"\\\\twoheadleftarrow\");\ndefineSymbol(math, ams, rel, \"\\u21a2\", \"\\\\leftarrowtail\");\ndefineSymbol(math, ams, rel, \"\\u21ab\", \"\\\\looparrowleft\");\ndefineSymbol(math, ams, rel, \"\\u21cb\", \"\\\\leftrightharpoons\");\ndefineSymbol(math, ams, rel, \"\\u21b6\", \"\\\\curvearrowleft\");\ndefineSymbol(math, ams, rel, \"\\u21ba\", \"\\\\circlearrowleft\");\ndefineSymbol(math, ams, rel, \"\\u21b0\", \"\\\\Lsh\");\ndefineSymbol(math, ams, rel, \"\\u21c8\", \"\\\\upuparrows\");\ndefineSymbol(math, ams, rel, \"\\u21bf\", \"\\\\upharpoonleft\");\ndefineSymbol(math, ams, rel, \"\\u21c3\", \"\\\\downharpoonleft\");\ndefineSymbol(math, ams, rel, \"\\u22b8\", \"\\\\multimap\");\ndefineSymbol(math, ams, rel, \"\\u21ad\", \"\\\\leftrightsquigarrow\");\ndefineSymbol(math, ams, rel, \"\\u21c9\", \"\\\\rightrightarrows\");\ndefineSymbol(math, ams, rel, \"\\u21c4\", \"\\\\rightleftarrows\");\ndefineSymbol(math, ams, rel, \"\\u21a0\", \"\\\\twoheadrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21a3\", \"\\\\rightarrowtail\");\ndefineSymbol(math, ams, rel, \"\\u21ac\", \"\\\\looparrowright\");\ndefineSymbol(math, ams, rel, \"\\u21b7\", \"\\\\curvearrowright\");\ndefineSymbol(math, ams, rel, \"\\u21bb\", \"\\\\circlearrowright\");\ndefineSymbol(math, ams, rel, \"\\u21b1\", \"\\\\Rsh\");\ndefineSymbol(math, ams, rel, \"\\u21ca\", \"\\\\downdownarrows\");\ndefineSymbol(math, ams, rel, \"\\u21be\", \"\\\\upharpoonright\");\ndefineSymbol(math, ams, rel, \"\\u21c2\", \"\\\\downharpoonright\");\ndefineSymbol(math, ams, rel, \"\\u21dd\", \"\\\\rightsquigarrow\");\ndefineSymbol(math, ams, rel, \"\\u21dd\", \"\\\\leadsto\");\ndefineSymbol(math, ams, rel, \"\\u21db\", \"\\\\Rrightarrow\");\ndefineSymbol(math, ams, rel, \"\\u21be\", \"\\\\restriction\");\n\ndefineSymbol(math, main, textord, \"\\u2018\", \"`\");\ndefineSymbol(math, main, textord, \"$\", \"\\\\$\");\ndefineSymbol(math, main, textord, \"%\", \"\\\\%\");\ndefineSymbol(math, main, textord, \"_\", \"\\\\_\");\ndefineSymbol(math, main, textord, \"\\u2220\", \"\\\\angle\");\ndefineSymbol(math, main, textord, \"\\u221e\", \"\\\\infty\");\ndefineSymbol(math, main, textord, \"\\u2032\", \"\\\\prime\");\ndefineSymbol(math, main, textord, \"\\u25b3\", \"\\\\triangle\");\ndefineSymbol(math, main, textord, \"\\u0393\", \"\\\\Gamma\");\ndefineSymbol(math, main, textord, \"\\u0394\", \"\\\\Delta\");\ndefineSymbol(math, main, textord, \"\\u0398\", \"\\\\Theta\");\ndefineSymbol(math, main, textord, \"\\u039b\", \"\\\\Lambda\");\ndefineSymbol(math, main, textord, \"\\u039e\", \"\\\\Xi\");\ndefineSymbol(math, main, textord, \"\\u03a0\", \"\\\\Pi\");\ndefineSymbol(math, main, textord, \"\\u03a3\", \"\\\\Sigma\");\ndefineSymbol(math, main, textord, \"\\u03a5\", \"\\\\Upsilon\");\ndefineSymbol(math, main, textord, \"\\u03a6\", \"\\\\Phi\");\ndefineSymbol(math, main, textord, \"\\u03a8\", \"\\\\Psi\");\ndefineSymbol(math, main, textord, \"\\u03a9\", \"\\\\Omega\");\ndefineSymbol(math, main, textord, \"\\u00ac\", \"\\\\neg\");\ndefineSymbol(math, main, textord, \"\\u00ac\", \"\\\\lnot\");\ndefineSymbol(math, main, textord, \"\\u22a4\", \"\\\\top\");\ndefineSymbol(math, main, textord, \"\\u22a5\", \"\\\\bot\");\ndefineSymbol(math, main, textord, \"\\u2205\", \"\\\\emptyset\");\ndefineSymbol(math, ams, textord, \"\\u2205\", \"\\\\varnothing\");\ndefineSymbol(math, main, mathord, \"\\u03b1\", \"\\\\alpha\");\ndefineSymbol(math, main, mathord, \"\\u03b2\", \"\\\\beta\");\ndefineSymbol(math, main, mathord, \"\\u03b3\", \"\\\\gamma\");\ndefineSymbol(math, main, mathord, \"\\u03b4\", \"\\\\delta\");\ndefineSymbol(math, main, mathord, \"\\u03f5\", \"\\\\epsilon\");\ndefineSymbol(math, main, mathord, \"\\u03b6\", \"\\\\zeta\");\ndefineSymbol(math, main, mathord, \"\\u03b7\", \"\\\\eta\");\ndefineSymbol(math, main, mathord, \"\\u03b8\", \"\\\\theta\");\ndefineSymbol(math, main, mathord, \"\\u03b9\", \"\\\\iota\");\ndefineSymbol(math, main, mathord, \"\\u03ba\", \"\\\\kappa\");\ndefineSymbol(math, main, mathord, \"\\u03bb\", \"\\\\lambda\");\ndefineSymbol(math, main, mathord, \"\\u03bc\", \"\\\\mu\");\ndefineSymbol(math, main, mathord, \"\\u03bd\", \"\\\\nu\");\ndefineSymbol(math, main, mathord, \"\\u03be\", \"\\\\xi\");\ndefineSymbol(math, main, mathord, \"o\", \"\\\\omicron\");\ndefineSymbol(math, main, mathord, \"\\u03c0\", \"\\\\pi\");\ndefineSymbol(math, main, mathord, \"\\u03c1\", \"\\\\rho\");\ndefineSymbol(math, main, mathord, \"\\u03c3\", \"\\\\sigma\");\ndefineSymbol(math, main, mathord, \"\\u03c4\", \"\\\\tau\");\ndefineSymbol(math, main, mathord, \"\\u03c5\", \"\\\\upsilon\");\ndefineSymbol(math, main, mathord, \"\\u03d5\", \"\\\\phi\");\ndefineSymbol(math, main, mathord, \"\\u03c7\", \"\\\\chi\");\ndefineSymbol(math, main, mathord, \"\\u03c8\", \"\\\\psi\");\ndefineSymbol(math, main, mathord, \"\\u03c9\", \"\\\\omega\");\ndefineSymbol(math, main, mathord, \"\\u03b5\", \"\\\\varepsilon\");\ndefineSymbol(math, main, mathord, \"\\u03d1\", \"\\\\vartheta\");\ndefineSymbol(math, main, mathord, \"\\u03d6\", \"\\\\varpi\");\ndefineSymbol(math, main, mathord, \"\\u03f1\", \"\\\\varrho\");\ndefineSymbol(math, main, mathord, \"\\u03c2\", \"\\\\varsigma\");\ndefineSymbol(math, main, mathord, \"\\u03c6\", \"\\\\varphi\");\ndefineSymbol(math, main, bin, \"\\u2217\", \"*\");\ndefineSymbol(math, main, bin, \"+\", \"+\");\ndefineSymbol(math, main, bin, \"\\u2212\", \"-\");\ndefineSymbol(math, main, bin, \"\\u22c5\", \"\\\\cdot\");\ndefineSymbol(math, main, bin, \"\\u2218\", \"\\\\circ\");\ndefineSymbol(math, main, bin, \"\\u00f7\", \"\\\\div\");\ndefineSymbol(math, main, bin, \"\\u00b1\", \"\\\\pm\");\ndefineSymbol(math, main, bin, \"\\u00d7\", \"\\\\times\");\ndefineSymbol(math, main, bin, \"\\u2229\", \"\\\\cap\");\ndefineSymbol(math, main, bin, \"\\u222a\", \"\\\\cup\");\ndefineSymbol(math, main, bin, \"\\u2216\", \"\\\\setminus\");\ndefineSymbol(math, main, bin, \"\\u2227\", \"\\\\land\");\ndefineSymbol(math, main, bin, \"\\u2228\", \"\\\\lor\");\ndefineSymbol(math, main, bin, \"\\u2227\", \"\\\\wedge\");\ndefineSymbol(math, main, bin, \"\\u2228\", \"\\\\vee\");\ndefineSymbol(math, main, textord, \"\\u221a\", \"\\\\surd\");\ndefineSymbol(math, main, open, \"(\", \"(\");\ndefineSymbol(math, main, open, \"[\", \"[\");\ndefineSymbol(math, main, open, \"\\u27e8\", \"\\\\langle\");\ndefineSymbol(math, main, open, \"\\u2223\", \"\\\\lvert\");\ndefineSymbol(math, main, open, \"\\u2225\", \"\\\\lVert\");\ndefineSymbol(math, main, close, \")\", \")\");\ndefineSymbol(math, main, close, \"]\", \"]\");\ndefineSymbol(math, main, close, \"?\", \"?\");\ndefineSymbol(math, main, close, \"!\", \"!\");\ndefineSymbol(math, main, close, \"\\u27e9\", \"\\\\rangle\");\ndefineSymbol(math, main, close, \"\\u2223\", \"\\\\rvert\");\ndefineSymbol(math, main, close, \"\\u2225\", \"\\\\rVert\");\ndefineSymbol(math, main, rel, \"=\", \"=\");\ndefineSymbol(math, main, rel, \"<\", \"<\");\ndefineSymbol(math, main, rel, \">\", \">\");\ndefineSymbol(math, main, rel, \":\", \":\");\ndefineSymbol(math, main, rel, \"\\u2248\", \"\\\\approx\");\ndefineSymbol(math, main, rel, \"\\u2245\", \"\\\\cong\");\ndefineSymbol(math, main, rel, \"\\u2265\", \"\\\\ge\");\ndefineSymbol(math, main, rel, \"\\u2265\", \"\\\\geq\");\ndefineSymbol(math, main, rel, \"\\u2190\", \"\\\\gets\");\ndefineSymbol(math, main, rel, \">\", \"\\\\gt\");\ndefineSymbol(math, main, rel, \"\\u2208\", \"\\\\in\");\ndefineSymbol(math, main, rel, \"\\u2209\", \"\\\\notin\");\ndefineSymbol(math, main, rel, \"\\u2282\", \"\\\\subset\");\ndefineSymbol(math, main, rel, \"\\u2283\", \"\\\\supset\");\ndefineSymbol(math, main, rel, \"\\u2286\", \"\\\\subseteq\");\ndefineSymbol(math, main, rel, \"\\u2287\", \"\\\\supseteq\");\ndefineSymbol(math, ams, rel, \"\\u2288\", \"\\\\nsubseteq\");\ndefineSymbol(math, ams, rel, \"\\u2289\", \"\\\\nsupseteq\");\ndefineSymbol(math, main, rel, \"\\u22a8\", \"\\\\models\");\ndefineSymbol(math, main, rel, \"\\u2190\", \"\\\\leftarrow\");\ndefineSymbol(math, main, rel, \"\\u2264\", \"\\\\le\");\ndefineSymbol(math, main, rel, \"\\u2264\", \"\\\\leq\");\ndefineSymbol(math, main, rel, \"<\", \"\\\\lt\");\ndefineSymbol(math, main, rel, \"\\u2260\", \"\\\\ne\");\ndefineSymbol(math, main, rel, \"\\u2260\", \"\\\\neq\");\ndefineSymbol(math, main, rel, \"\\u2192\", \"\\\\rightarrow\");\ndefineSymbol(math, main, rel, \"\\u2192\", \"\\\\to\");\ndefineSymbol(math, ams, rel, \"\\u2271\", \"\\\\ngeq\");\ndefineSymbol(math, ams, rel, \"\\u2270\", \"\\\\nleq\");\ndefineSymbol(math, main, spacing, null, \"\\\\!\");\ndefineSymbol(math, main, spacing, \"\\u00a0\", \"\\\\ \");\ndefineSymbol(math, main, spacing, \"\\u00a0\", \"~\");\ndefineSymbol(math, main, spacing, null, \"\\\\,\");\ndefineSymbol(math, main, spacing, null, \"\\\\:\");\ndefineSymbol(math, main, spacing, null, \"\\\\;\");\ndefineSymbol(math, main, spacing, null, \"\\\\enspace\");\ndefineSymbol(math, main, spacing, null, \"\\\\qquad\");\ndefineSymbol(math, main, spacing, null, \"\\\\quad\");\ndefineSymbol(math, main, spacing, \"\\u00a0\", \"\\\\space\");\ndefineSymbol(math, main, punct, \",\", \",\");\ndefineSymbol(math, main, punct, \";\", \";\");\ndefineSymbol(math, main, punct, \":\", \"\\\\colon\");\ndefineSymbol(math, ams, bin, \"\\u22bc\", \"\\\\barwedge\");\ndefineSymbol(math, ams, bin, \"\\u22bb\", \"\\\\veebar\");\ndefineSymbol(math, main, bin, \"\\u2299\", \"\\\\odot\");\ndefineSymbol(math, main, bin, \"\\u2295\", \"\\\\oplus\");\ndefineSymbol(math, main, bin, \"\\u2297\", \"\\\\otimes\");\ndefineSymbol(math, main, textord, \"\\u2202\", \"\\\\partial\");\ndefineSymbol(math, main, bin, \"\\u2298\", \"\\\\oslash\");\ndefineSymbol(math, ams, bin, \"\\u229a\", \"\\\\circledcirc\");\ndefineSymbol(math, ams, bin, \"\\u22a1\", \"\\\\boxdot\");\ndefineSymbol(math, main, bin, \"\\u25b3\", \"\\\\bigtriangleup\");\ndefineSymbol(math, main, bin, \"\\u25bd\", \"\\\\bigtriangledown\");\ndefineSymbol(math, main, bin, \"\\u2020\", \"\\\\dagger\");\ndefineSymbol(math, main, bin, \"\\u22c4\", \"\\\\diamond\");\ndefineSymbol(math, main, bin, \"\\u22c6\", \"\\\\star\");\ndefineSymbol(math, main, bin, \"\\u25c3\", \"\\\\triangleleft\");\ndefineSymbol(math, main, bin, \"\\u25b9\", \"\\\\triangleright\");\ndefineSymbol(math, main, open, \"{\", \"\\\\{\");\ndefineSymbol(math, main, close, \"}\", \"\\\\}\");\ndefineSymbol(math, main, open, \"{\", \"\\\\lbrace\");\ndefineSymbol(math, main, close, \"}\", \"\\\\rbrace\");\ndefineSymbol(math, main, open, \"[\", \"\\\\lbrack\");\ndefineSymbol(math, main, close, \"]\", \"\\\\rbrack\");\ndefineSymbol(math, main, open, \"\\u230a\", \"\\\\lfloor\");\ndefineSymbol(math, main, close, \"\\u230b\", \"\\\\rfloor\");\ndefineSymbol(math, main, open, \"\\u2308\", \"\\\\lceil\");\ndefineSymbol(math, main, close, \"\\u2309\", \"\\\\rceil\");\ndefineSymbol(math, main, textord, \"\\\\\", \"\\\\backslash\");\ndefineSymbol(math, main, textord, \"\\u2223\", \"|\");\ndefineSymbol(math, main, textord, \"\\u2223\", \"\\\\vert\");\ndefineSymbol(math, main, textord, \"\\u2225\", \"\\\\|\");\ndefineSymbol(math, main, textord, \"\\u2225\", \"\\\\Vert\");\ndefineSymbol(math, main, rel, \"\\u2191\", \"\\\\uparrow\");\ndefineSymbol(math, main, rel, \"\\u21d1\", \"\\\\Uparrow\");\ndefineSymbol(math, main, rel, \"\\u2193\", \"\\\\downarrow\");\ndefineSymbol(math, main, rel, \"\\u21d3\", \"\\\\Downarrow\");\ndefineSymbol(math, main, rel, \"\\u2195\", \"\\\\updownarrow\");\ndefineSymbol(math, main, rel, \"\\u21d5\", \"\\\\Updownarrow\");\ndefineSymbol(math, math, op, \"\\u2210\", \"\\\\coprod\");\ndefineSymbol(math, math, op, \"\\u22c1\", \"\\\\bigvee\");\ndefineSymbol(math, math, op, \"\\u22c0\", \"\\\\bigwedge\");\ndefineSymbol(math, math, op, \"\\u2a04\", \"\\\\biguplus\");\ndefineSymbol(math, math, op, \"\\u22c2\", \"\\\\bigcap\");\ndefineSymbol(math, math, op, \"\\u22c3\", \"\\\\bigcup\");\ndefineSymbol(math, math, op, \"\\u222b\", \"\\\\int\");\ndefineSymbol(math, math, op, \"\\u222b\", \"\\\\intop\");\ndefineSymbol(math, math, op, \"\\u222c\", \"\\\\iint\");\ndefineSymbol(math, math, op, \"\\u222d\", \"\\\\iiint\");\ndefineSymbol(math, math, op, \"\\u220f\", \"\\\\prod\");\ndefineSymbol(math, math, op, \"\\u2211\", \"\\\\sum\");\ndefineSymbol(math, math, op, \"\\u2a02\", \"\\\\bigotimes\");\ndefineSymbol(math, math, op, \"\\u2a01\", \"\\\\bigoplus\");\ndefineSymbol(math, math, op, \"\\u2a00\", \"\\\\bigodot\");\ndefineSymbol(math, math, op, \"\\u222e\", \"\\\\oint\");\ndefineSymbol(math, math, op, \"\\u2a06\", \"\\\\bigsqcup\");\ndefineSymbol(math, math, op, \"\\u222b\", \"\\\\smallint\");\ndefineSymbol(math, main, inner, \"\\u2026\", \"\\\\ldots\");\ndefineSymbol(math, main, inner, \"\\u22ef\", \"\\\\cdots\");\ndefineSymbol(math, main, inner, \"\\u22f1\", \"\\\\ddots\");\ndefineSymbol(math, main, textord, \"\\u22ee\", \"\\\\vdots\");\ndefineSymbol(math, main, accent, \"\\u00b4\", \"\\\\acute\");\ndefineSymbol(math, main, accent, \"\\u0060\", \"\\\\grave\");\ndefineSymbol(math, main, accent, \"\\u00a8\", \"\\\\ddot\");\ndefineSymbol(math, main, accent, \"\\u007e\", \"\\\\tilde\");\ndefineSymbol(math, main, accent, \"\\u00af\", \"\\\\bar\");\ndefineSymbol(math, main, accent, \"\\u02d8\", \"\\\\breve\");\ndefineSymbol(math, main, accent, \"\\u02c7\", \"\\\\check\");\ndefineSymbol(math, main, accent, \"\\u005e\", \"\\\\hat\");\ndefineSymbol(math, main, accent, \"\\u20d7\", \"\\\\vec\");\ndefineSymbol(math, main, accent, \"\\u02d9\", \"\\\\dot\");\ndefineSymbol(math, main, mathord, \"\\u0131\", \"\\\\imath\");\ndefineSymbol(math, main, mathord, \"\\u0237\", \"\\\\jmath\");\n\ndefineSymbol(text, main, spacing, \"\\u00a0\", \"\\\\ \");\ndefineSymbol(text, main, spacing, \"\\u00a0\", \" \");\ndefineSymbol(text, main, spacing, \"\\u00a0\", \"~\");\n\n// There are lots of symbols which are the same, so we add them in afterwards.\nvar i;\nvar ch;\n\n// All of these are textords in math mode\nvar mathTextSymbols = \"0123456789/@.\\\"\";\nfor (i = 0; i < mathTextSymbols.length; i++) {\n    ch = mathTextSymbols.charAt(i);\n    defineSymbol(math, main, textord, ch, ch);\n}\n\n// All of these are textords in text mode\nvar textSymbols = \"0123456789`!@*()-=+[]'\\\";:?/.,\";\nfor (i = 0; i < textSymbols.length; i++) {\n    ch = textSymbols.charAt(i);\n    defineSymbol(text, main, textord, ch, ch);\n}\n\n// All of these are textords in text mode, and mathords in math mode\nvar letters = \"abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ\";\nfor (i = 0; i < letters.length; i++) {\n    ch = letters.charAt(i);\n    defineSymbol(math, main, mathord, ch, ch);\n    defineSymbol(text, main, textord, ch, ch);\n}\n","var buildHTML = require(\"./buildHTML\");\nvar buildMathML = require(\"./buildMathML\");\nvar buildCommon = require(\"./buildCommon\");\nvar Options = require(\"./Options\");\nvar Settings = require(\"./Settings\");\nvar Style = require(\"./Style\");\n\nvar makeSpan = buildCommon.makeSpan;\n\nvar buildTree = function(tree, expression, settings) {\n    settings = settings || new Settings({});\n\n    var startStyle = Style.TEXT;\n    if (settings.displayMode) {\n        startStyle = Style.DISPLAY;\n    }\n\n    // Setup the default options\n    var options = new Options({\n        style: startStyle,\n        size: \"size5\",\n    });\n\n    // `buildHTML` sometimes messes with the parse tree (like turning bins ->\n    // ords), so we build the MathML version first.\n    var mathMLNode = buildMathML(tree, expression, options);\n    var htmlNode = buildHTML(tree, options);\n\n    var katexNode = makeSpan([\"katex\"], [\n        mathMLNode, htmlNode,\n    ]);\n\n    if (settings.displayMode) {\n        return makeSpan([\"katex-display\"], [katexNode]);\n    } else {\n        return katexNode;\n    }\n};\n\nmodule.exports = buildTree;\n","/**\n * These objects store data about MathML nodes. This is the MathML equivalent\n * of the types in domTree.js. Since MathML handles its own rendering, and\n * since we're mainly using MathML to improve accessibility, we don't manage\n * any of the styling state that the plain DOM nodes do.\n *\n * The `toNode` and `toMarkup` functions work simlarly to how they do in\n * domTree.js, creating namespaced DOM nodes and HTML text markup respectively.\n */\n\nvar utils = require(\"./utils\");\n\n/**\n * This node represents a general purpose MathML node of any type. The\n * constructor requires the type of node to create (for example, `\"mo\"` or\n * `\"mspace\"`, corresponding to `<mo>` and `<mspace>` tags).\n */\nfunction MathNode(type, children) {\n    this.type = type;\n    this.attributes = {};\n    this.children = children || [];\n}\n\n/**\n * Sets an attribute on a MathML node. MathML depends on attributes to convey a\n * semantic content, so this is used heavily.\n */\nMathNode.prototype.setAttribute = function(name, value) {\n    this.attributes[name] = value;\n};\n\n/**\n * Converts the math node into a MathML-namespaced DOM element.\n */\nMathNode.prototype.toNode = function() {\n    var node = document.createElementNS(\n        \"http://www.w3.org/1998/Math/MathML\", this.type);\n\n    for (var attr in this.attributes) {\n        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n            node.setAttribute(attr, this.attributes[attr]);\n        }\n    }\n\n    for (var i = 0; i < this.children.length; i++) {\n        node.appendChild(this.children[i].toNode());\n    }\n\n    return node;\n};\n\n/**\n * Converts the math node into an HTML markup string.\n */\nMathNode.prototype.toMarkup = function() {\n    var markup = \"<\" + this.type;\n\n    // Add the attributes\n    for (var attr in this.attributes) {\n        if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {\n            markup += \" \" + attr + \"=\\\"\";\n            markup += utils.escape(this.attributes[attr]);\n            markup += \"\\\"\";\n        }\n    }\n\n    markup += \">\";\n\n    for (var i = 0; i < this.children.length; i++) {\n        markup += this.children[i].toMarkup();\n    }\n\n    markup += \"</\" + this.type + \">\";\n\n    return markup;\n};\n\n/**\n * This node represents a piece of text.\n */\nfunction TextNode(text) {\n    this.text = text;\n}\n\n/**\n * Converts the text node into a DOM text node.\n */\nTextNode.prototype.toNode = function() {\n    return document.createTextNode(this.text);\n};\n\n/**\n * Converts the text node into HTML markup (which is just the text itself).\n */\nTextNode.prototype.toMarkup = function() {\n    return utils.escape(this.text);\n};\n\nmodule.exports = {\n    MathNode: MathNode,\n    TextNode: TextNode,\n};\n","module.exports = {\n    \"AMS-Regular\": {\n        \"65\": [0, 0.68889, 0, 0],\n        \"66\": [0, 0.68889, 0, 0],\n        \"67\": [0, 0.68889, 0, 0],\n        \"68\": [0, 0.68889, 0, 0],\n        \"69\": [0, 0.68889, 0, 0],\n        \"70\": [0, 0.68889, 0, 0],\n        \"71\": [0, 0.68889, 0, 0],\n        \"72\": [0, 0.68889, 0, 0],\n        \"73\": [0, 0.68889, 0, 0],\n        \"74\": [0.16667, 0.68889, 0, 0],\n        \"75\": [0, 0.68889, 0, 0],\n        \"76\": [0, 0.68889, 0, 0],\n        \"77\": [0, 0.68889, 0, 0],\n        \"78\": [0, 0.68889, 0, 0],\n        \"79\": [0.16667, 0.68889, 0, 0],\n        \"80\": [0, 0.68889, 0, 0],\n        \"81\": [0.16667, 0.68889, 0, 0],\n        \"82\": [0, 0.68889, 0, 0],\n        \"83\": [0, 0.68889, 0, 0],\n        \"84\": [0, 0.68889, 0, 0],\n        \"85\": [0, 0.68889, 0, 0],\n        \"86\": [0, 0.68889, 0, 0],\n        \"87\": [0, 0.68889, 0, 0],\n        \"88\": [0, 0.68889, 0, 0],\n        \"89\": [0, 0.68889, 0, 0],\n        \"90\": [0, 0.68889, 0, 0],\n        \"107\": [0, 0.68889, 0, 0],\n        \"165\": [0, 0.675, 0.025, 0],\n        \"174\": [0.15559, 0.69224, 0, 0],\n        \"240\": [0, 0.68889, 0, 0],\n        \"295\": [0, 0.68889, 0, 0],\n        \"710\": [0, 0.825, 0, 0],\n        \"732\": [0, 0.9, 0, 0],\n        \"770\": [0, 0.825, 0, 0],\n        \"771\": [0, 0.9, 0, 0],\n        \"989\": [0.08167, 0.58167, 0, 0],\n        \"1008\": [0, 0.43056, 0.04028, 0],\n        \"8245\": [0, 0.54986, 0, 0],\n        \"8463\": [0, 0.68889, 0, 0],\n        \"8487\": [0, 0.68889, 0, 0],\n        \"8498\": [0, 0.68889, 0, 0],\n        \"8502\": [0, 0.68889, 0, 0],\n        \"8503\": [0, 0.68889, 0, 0],\n        \"8504\": [0, 0.68889, 0, 0],\n        \"8513\": [0, 0.68889, 0, 0],\n        \"8592\": [-0.03598, 0.46402, 0, 0],\n        \"8594\": [-0.03598, 0.46402, 0, 0],\n        \"8602\": [-0.13313, 0.36687, 0, 0],\n        \"8603\": [-0.13313, 0.36687, 0, 0],\n        \"8606\": [0.01354, 0.52239, 0, 0],\n        \"8608\": [0.01354, 0.52239, 0, 0],\n        \"8610\": [0.01354, 0.52239, 0, 0],\n        \"8611\": [0.01354, 0.52239, 0, 0],\n        \"8619\": [0, 0.54986, 0, 0],\n        \"8620\": [0, 0.54986, 0, 0],\n        \"8621\": [-0.13313, 0.37788, 0, 0],\n        \"8622\": [-0.13313, 0.36687, 0, 0],\n        \"8624\": [0, 0.69224, 0, 0],\n        \"8625\": [0, 0.69224, 0, 0],\n        \"8630\": [0, 0.43056, 0, 0],\n        \"8631\": [0, 0.43056, 0, 0],\n        \"8634\": [0.08198, 0.58198, 0, 0],\n        \"8635\": [0.08198, 0.58198, 0, 0],\n        \"8638\": [0.19444, 0.69224, 0, 0],\n        \"8639\": [0.19444, 0.69224, 0, 0],\n        \"8642\": [0.19444, 0.69224, 0, 0],\n        \"8643\": [0.19444, 0.69224, 0, 0],\n        \"8644\": [0.1808, 0.675, 0, 0],\n        \"8646\": [0.1808, 0.675, 0, 0],\n        \"8647\": [0.1808, 0.675, 0, 0],\n        \"8648\": [0.19444, 0.69224, 0, 0],\n        \"8649\": [0.1808, 0.675, 0, 0],\n        \"8650\": [0.19444, 0.69224, 0, 0],\n        \"8651\": [0.01354, 0.52239, 0, 0],\n        \"8652\": [0.01354, 0.52239, 0, 0],\n        \"8653\": [-0.13313, 0.36687, 0, 0],\n        \"8654\": [-0.13313, 0.36687, 0, 0],\n        \"8655\": [-0.13313, 0.36687, 0, 0],\n        \"8666\": [0.13667, 0.63667, 0, 0],\n        \"8667\": [0.13667, 0.63667, 0, 0],\n        \"8669\": [-0.13313, 0.37788, 0, 0],\n        \"8672\": [-0.064, 0.437, 0, 0],\n        \"8674\": [-0.064, 0.437, 0, 0],\n        \"8705\": [0, 0.825, 0, 0],\n        \"8708\": [0, 0.68889, 0, 0],\n        \"8709\": [0.08167, 0.58167, 0, 0],\n        \"8717\": [0, 0.43056, 0, 0],\n        \"8722\": [-0.03598, 0.46402, 0, 0],\n        \"8724\": [0.08198, 0.69224, 0, 0],\n        \"8726\": [0.08167, 0.58167, 0, 0],\n        \"8733\": [0, 0.69224, 0, 0],\n        \"8736\": [0, 0.69224, 0, 0],\n        \"8737\": [0, 0.69224, 0, 0],\n        \"8738\": [0.03517, 0.52239, 0, 0],\n        \"8739\": [0.08167, 0.58167, 0, 0],\n        \"8740\": [0.25142, 0.74111, 0, 0],\n        \"8741\": [0.08167, 0.58167, 0, 0],\n        \"8742\": [0.25142, 0.74111, 0, 0],\n        \"8756\": [0, 0.69224, 0, 0],\n        \"8757\": [0, 0.69224, 0, 0],\n        \"8764\": [-0.13313, 0.36687, 0, 0],\n        \"8765\": [-0.13313, 0.37788, 0, 0],\n        \"8769\": [-0.13313, 0.36687, 0, 0],\n        \"8770\": [-0.03625, 0.46375, 0, 0],\n        \"8774\": [0.30274, 0.79383, 0, 0],\n        \"8776\": [-0.01688, 0.48312, 0, 0],\n        \"8778\": [0.08167, 0.58167, 0, 0],\n        \"8782\": [0.06062, 0.54986, 0, 0],\n        \"8783\": [0.06062, 0.54986, 0, 0],\n        \"8785\": [0.08198, 0.58198, 0, 0],\n        \"8786\": [0.08198, 0.58198, 0, 0],\n        \"8787\": [0.08198, 0.58198, 0, 0],\n        \"8790\": [0, 0.69224, 0, 0],\n        \"8791\": [0.22958, 0.72958, 0, 0],\n        \"8796\": [0.08198, 0.91667, 0, 0],\n        \"8806\": [0.25583, 0.75583, 0, 0],\n        \"8807\": [0.25583, 0.75583, 0, 0],\n        \"8808\": [0.25142, 0.75726, 0, 0],\n        \"8809\": [0.25142, 0.75726, 0, 0],\n        \"8812\": [0.25583, 0.75583, 0, 0],\n        \"8814\": [0.20576, 0.70576, 0, 0],\n        \"8815\": [0.20576, 0.70576, 0, 0],\n        \"8816\": [0.30274, 0.79383, 0, 0],\n        \"8817\": [0.30274, 0.79383, 0, 0],\n        \"8818\": [0.22958, 0.72958, 0, 0],\n        \"8819\": [0.22958, 0.72958, 0, 0],\n        \"8822\": [0.1808, 0.675, 0, 0],\n        \"8823\": [0.1808, 0.675, 0, 0],\n        \"8828\": [0.13667, 0.63667, 0, 0],\n        \"8829\": [0.13667, 0.63667, 0, 0],\n        \"8830\": [0.22958, 0.72958, 0, 0],\n        \"8831\": [0.22958, 0.72958, 0, 0],\n        \"8832\": [0.20576, 0.70576, 0, 0],\n        \"8833\": [0.20576, 0.70576, 0, 0],\n        \"8840\": [0.30274, 0.79383, 0, 0],\n        \"8841\": [0.30274, 0.79383, 0, 0],\n        \"8842\": [0.13597, 0.63597, 0, 0],\n        \"8843\": [0.13597, 0.63597, 0, 0],\n        \"8847\": [0.03517, 0.54986, 0, 0],\n        \"8848\": [0.03517, 0.54986, 0, 0],\n        \"8858\": [0.08198, 0.58198, 0, 0],\n        \"8859\": [0.08198, 0.58198, 0, 0],\n        \"8861\": [0.08198, 0.58198, 0, 0],\n        \"8862\": [0, 0.675, 0, 0],\n        \"8863\": [0, 0.675, 0, 0],\n        \"8864\": [0, 0.675, 0, 0],\n        \"8865\": [0, 0.675, 0, 0],\n        \"8872\": [0, 0.69224, 0, 0],\n        \"8873\": [0, 0.69224, 0, 0],\n        \"8874\": [0, 0.69224, 0, 0],\n        \"8876\": [0, 0.68889, 0, 0],\n        \"8877\": [0, 0.68889, 0, 0],\n        \"8878\": [0, 0.68889, 0, 0],\n        \"8879\": [0, 0.68889, 0, 0],\n        \"8882\": [0.03517, 0.54986, 0, 0],\n        \"8883\": [0.03517, 0.54986, 0, 0],\n        \"8884\": [0.13667, 0.63667, 0, 0],\n        \"8885\": [0.13667, 0.63667, 0, 0],\n        \"8888\": [0, 0.54986, 0, 0],\n        \"8890\": [0.19444, 0.43056, 0, 0],\n        \"8891\": [0.19444, 0.69224, 0, 0],\n        \"8892\": [0.19444, 0.69224, 0, 0],\n        \"8901\": [0, 0.54986, 0, 0],\n        \"8903\": [0.08167, 0.58167, 0, 0],\n        \"8905\": [0.08167, 0.58167, 0, 0],\n        \"8906\": [0.08167, 0.58167, 0, 0],\n        \"8907\": [0, 0.69224, 0, 0],\n        \"8908\": [0, 0.69224, 0, 0],\n        \"8909\": [-0.03598, 0.46402, 0, 0],\n        \"8910\": [0, 0.54986, 0, 0],\n        \"8911\": [0, 0.54986, 0, 0],\n        \"8912\": [0.03517, 0.54986, 0, 0],\n        \"8913\": [0.03517, 0.54986, 0, 0],\n        \"8914\": [0, 0.54986, 0, 0],\n        \"8915\": [0, 0.54986, 0, 0],\n        \"8916\": [0, 0.69224, 0, 0],\n        \"8918\": [0.0391, 0.5391, 0, 0],\n        \"8919\": [0.0391, 0.5391, 0, 0],\n        \"8920\": [0.03517, 0.54986, 0, 0],\n        \"8921\": [0.03517, 0.54986, 0, 0],\n        \"8922\": [0.38569, 0.88569, 0, 0],\n        \"8923\": [0.38569, 0.88569, 0, 0],\n        \"8926\": [0.13667, 0.63667, 0, 0],\n        \"8927\": [0.13667, 0.63667, 0, 0],\n        \"8928\": [0.30274, 0.79383, 0, 0],\n        \"8929\": [0.30274, 0.79383, 0, 0],\n        \"8934\": [0.23222, 0.74111, 0, 0],\n        \"8935\": [0.23222, 0.74111, 0, 0],\n        \"8936\": [0.23222, 0.74111, 0, 0],\n        \"8937\": [0.23222, 0.74111, 0, 0],\n        \"8938\": [0.20576, 0.70576, 0, 0],\n        \"8939\": [0.20576, 0.70576, 0, 0],\n        \"8940\": [0.30274, 0.79383, 0, 0],\n        \"8941\": [0.30274, 0.79383, 0, 0],\n        \"8994\": [0.19444, 0.69224, 0, 0],\n        \"8995\": [0.19444, 0.69224, 0, 0],\n        \"9416\": [0.15559, 0.69224, 0, 0],\n        \"9484\": [0, 0.69224, 0, 0],\n        \"9488\": [0, 0.69224, 0, 0],\n        \"9492\": [0, 0.37788, 0, 0],\n        \"9496\": [0, 0.37788, 0, 0],\n        \"9585\": [0.19444, 0.68889, 0, 0],\n        \"9586\": [0.19444, 0.74111, 0, 0],\n        \"9632\": [0, 0.675, 0, 0],\n        \"9633\": [0, 0.675, 0, 0],\n        \"9650\": [0, 0.54986, 0, 0],\n        \"9651\": [0, 0.54986, 0, 0],\n        \"9654\": [0.03517, 0.54986, 0, 0],\n        \"9660\": [0, 0.54986, 0, 0],\n        \"9661\": [0, 0.54986, 0, 0],\n        \"9664\": [0.03517, 0.54986, 0, 0],\n        \"9674\": [0.11111, 0.69224, 0, 0],\n        \"9733\": [0.19444, 0.69224, 0, 0],\n        \"10003\": [0, 0.69224, 0, 0],\n        \"10016\": [0, 0.69224, 0, 0],\n        \"10731\": [0.11111, 0.69224, 0, 0],\n        \"10846\": [0.19444, 0.75583, 0, 0],\n        \"10877\": [0.13667, 0.63667, 0, 0],\n        \"10878\": [0.13667, 0.63667, 0, 0],\n        \"10885\": [0.25583, 0.75583, 0, 0],\n        \"10886\": [0.25583, 0.75583, 0, 0],\n        \"10887\": [0.13597, 0.63597, 0, 0],\n        \"10888\": [0.13597, 0.63597, 0, 0],\n        \"10889\": [0.26167, 0.75726, 0, 0],\n        \"10890\": [0.26167, 0.75726, 0, 0],\n        \"10891\": [0.48256, 0.98256, 0, 0],\n        \"10892\": [0.48256, 0.98256, 0, 0],\n        \"10901\": [0.13667, 0.63667, 0, 0],\n        \"10902\": [0.13667, 0.63667, 0, 0],\n        \"10933\": [0.25142, 0.75726, 0, 0],\n        \"10934\": [0.25142, 0.75726, 0, 0],\n        \"10935\": [0.26167, 0.75726, 0, 0],\n        \"10936\": [0.26167, 0.75726, 0, 0],\n        \"10937\": [0.26167, 0.75726, 0, 0],\n        \"10938\": [0.26167, 0.75726, 0, 0],\n        \"10949\": [0.25583, 0.75583, 0, 0],\n        \"10950\": [0.25583, 0.75583, 0, 0],\n        \"10955\": [0.28481, 0.79383, 0, 0],\n        \"10956\": [0.28481, 0.79383, 0, 0],\n        \"57350\": [0.08167, 0.58167, 0, 0],\n        \"57351\": [0.08167, 0.58167, 0, 0],\n        \"57352\": [0.08167, 0.58167, 0, 0],\n        \"57353\": [0, 0.43056, 0.04028, 0],\n        \"57356\": [0.25142, 0.75726, 0, 0],\n        \"57357\": [0.25142, 0.75726, 0, 0],\n        \"57358\": [0.41951, 0.91951, 0, 0],\n        \"57359\": [0.30274, 0.79383, 0, 0],\n        \"57360\": [0.30274, 0.79383, 0, 0],\n        \"57361\": [0.41951, 0.91951, 0, 0],\n        \"57366\": [0.25142, 0.75726, 0, 0],\n        \"57367\": [0.25142, 0.75726, 0, 0],\n        \"57368\": [0.25142, 0.75726, 0, 0],\n        \"57369\": [0.25142, 0.75726, 0, 0],\n        \"57370\": [0.13597, 0.63597, 0, 0],\n        \"57371\": [0.13597, 0.63597, 0, 0],\n    },\n    \"Caligraphic-Regular\": {\n        \"48\": [0, 0.43056, 0, 0],\n        \"49\": [0, 0.43056, 0, 0],\n        \"50\": [0, 0.43056, 0, 0],\n        \"51\": [0.19444, 0.43056, 0, 0],\n        \"52\": [0.19444, 0.43056, 0, 0],\n        \"53\": [0.19444, 0.43056, 0, 0],\n        \"54\": [0, 0.64444, 0, 0],\n        \"55\": [0.19444, 0.43056, 0, 0],\n        \"56\": [0, 0.64444, 0, 0],\n        \"57\": [0.19444, 0.43056, 0, 0],\n        \"65\": [0, 0.68333, 0, 0.19445],\n        \"66\": [0, 0.68333, 0.03041, 0.13889],\n        \"67\": [0, 0.68333, 0.05834, 0.13889],\n        \"68\": [0, 0.68333, 0.02778, 0.08334],\n        \"69\": [0, 0.68333, 0.08944, 0.11111],\n        \"70\": [0, 0.68333, 0.09931, 0.11111],\n        \"71\": [0.09722, 0.68333, 0.0593, 0.11111],\n        \"72\": [0, 0.68333, 0.00965, 0.11111],\n        \"73\": [0, 0.68333, 0.07382, 0],\n        \"74\": [0.09722, 0.68333, 0.18472, 0.16667],\n        \"75\": [0, 0.68333, 0.01445, 0.05556],\n        \"76\": [0, 0.68333, 0, 0.13889],\n        \"77\": [0, 0.68333, 0, 0.13889],\n        \"78\": [0, 0.68333, 0.14736, 0.08334],\n        \"79\": [0, 0.68333, 0.02778, 0.11111],\n        \"80\": [0, 0.68333, 0.08222, 0.08334],\n        \"81\": [0.09722, 0.68333, 0, 0.11111],\n        \"82\": [0, 0.68333, 0, 0.08334],\n        \"83\": [0, 0.68333, 0.075, 0.13889],\n        \"84\": [0, 0.68333, 0.25417, 0],\n        \"85\": [0, 0.68333, 0.09931, 0.08334],\n        \"86\": [0, 0.68333, 0.08222, 0],\n        \"87\": [0, 0.68333, 0.08222, 0.08334],\n        \"88\": [0, 0.68333, 0.14643, 0.13889],\n        \"89\": [0.09722, 0.68333, 0.08222, 0.08334],\n        \"90\": [0, 0.68333, 0.07944, 0.13889],\n    },\n    \"Fraktur-Regular\": {\n        \"33\": [0, 0.69141, 0, 0],\n        \"34\": [0, 0.69141, 0, 0],\n        \"38\": [0, 0.69141, 0, 0],\n        \"39\": [0, 0.69141, 0, 0],\n        \"40\": [0.24982, 0.74947, 0, 0],\n        \"41\": [0.24982, 0.74947, 0, 0],\n        \"42\": [0, 0.62119, 0, 0],\n        \"43\": [0.08319, 0.58283, 0, 0],\n        \"44\": [0, 0.10803, 0, 0],\n        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 \"67\": [0, 0.68333, 0.14528, 0],\n        \"68\": [0, 0.68333, 0.09403, 0],\n        \"69\": [0, 0.68333, 0.12028, 0],\n        \"70\": [0, 0.68333, 0.13305, 0],\n        \"71\": [0, 0.68333, 0.08722, 0],\n        \"72\": [0, 0.68333, 0.16389, 0],\n        \"73\": [0, 0.68333, 0.15806, 0],\n        \"74\": [0, 0.68333, 0.14028, 0],\n        \"75\": [0, 0.68333, 0.14528, 0],\n        \"76\": [0, 0.68333, 0, 0],\n        \"77\": [0, 0.68333, 0.16389, 0],\n        \"78\": [0, 0.68333, 0.16389, 0],\n        \"79\": [0, 0.68333, 0.09403, 0],\n        \"80\": [0, 0.68333, 0.10257, 0],\n        \"81\": [0.19444, 0.68333, 0.09403, 0],\n        \"82\": [0, 0.68333, 0.03868, 0],\n        \"83\": [0, 0.68333, 0.11972, 0],\n        \"84\": [0, 0.68333, 0.13305, 0],\n        \"85\": [0, 0.68333, 0.16389, 0],\n        \"86\": [0, 0.68333, 0.18361, 0],\n        \"87\": [0, 0.68333, 0.18361, 0],\n        \"88\": [0, 0.68333, 0.15806, 0],\n        \"89\": [0, 0.68333, 0.19383, 0],\n        \"90\": 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[-0.13313, 0.36687, 0, 0],\n        \"8595\": [0.19444, 0.69444, 0, 0],\n        \"8596\": [-0.13313, 0.36687, 0, 0],\n        \"8597\": [0.25, 0.75, 0, 0],\n        \"8598\": [0.19444, 0.69444, 0, 0],\n        \"8599\": [0.19444, 0.69444, 0, 0],\n        \"8600\": [0.19444, 0.69444, 0, 0],\n        \"8601\": [0.19444, 0.69444, 0, 0],\n        \"8614\": [0.011, 0.511, 0, 0],\n        \"8617\": [0.011, 0.511, 0, 0],\n        \"8618\": [0.011, 0.511, 0, 0],\n        \"8636\": [-0.13313, 0.36687, 0, 0],\n        \"8637\": [-0.13313, 0.36687, 0, 0],\n        \"8640\": [-0.13313, 0.36687, 0, 0],\n        \"8641\": [-0.13313, 0.36687, 0, 0],\n        \"8652\": [0.011, 0.671, 0, 0],\n        \"8656\": [-0.13313, 0.36687, 0, 0],\n        \"8657\": [0.19444, 0.69444, 0, 0],\n        \"8658\": [-0.13313, 0.36687, 0, 0],\n        \"8659\": [0.19444, 0.69444, 0, 0],\n        \"8660\": [-0.13313, 0.36687, 0, 0],\n        \"8661\": [0.25, 0.75, 0, 0],\n        \"8704\": [0, 0.69444, 0, 0],\n        \"8706\": [0, 0.69444, 0.05556, 0.08334],\n        \"8707\": [0, 0.69444, 0, 0],\n        \"8709\": [0.05556, 0.75, 0, 0],\n        \"8711\": [0, 0.68333, 0, 0],\n        \"8712\": [0.0391, 0.5391, 0, 0],\n        \"8715\": [0.0391, 0.5391, 0, 0],\n        \"8722\": [0.08333, 0.58333, 0, 0],\n        \"8723\": [0.08333, 0.58333, 0, 0],\n        \"8725\": [0.25, 0.75, 0, 0],\n        \"8726\": [0.25, 0.75, 0, 0],\n        \"8727\": [-0.03472, 0.46528, 0, 0],\n        \"8728\": [-0.05555, 0.44445, 0, 0],\n        \"8729\": [-0.05555, 0.44445, 0, 0],\n        \"8730\": [0.2, 0.8, 0, 0],\n        \"8733\": [0, 0.43056, 0, 0],\n        \"8734\": [0, 0.43056, 0, 0],\n        \"8736\": [0, 0.69224, 0, 0],\n        \"8739\": [0.25, 0.75, 0, 0],\n        \"8741\": [0.25, 0.75, 0, 0],\n        \"8743\": [0, 0.55556, 0, 0],\n        \"8744\": [0, 0.55556, 0, 0],\n        \"8745\": [0, 0.55556, 0, 0],\n        \"8746\": [0, 0.55556, 0, 0],\n        \"8747\": [0.19444, 0.69444, 0.11111, 0],\n        \"8764\": [-0.13313, 0.36687, 0, 0],\n        \"8768\": [0.19444, 0.69444, 0, 0],\n        \"8771\": [-0.03625, 0.46375, 0, 0],\n        \"8773\": [-0.022, 0.589, 0, 0],\n        \"8776\": [-0.01688, 0.48312, 0, 0],\n        \"8781\": [-0.03625, 0.46375, 0, 0],\n        \"8784\": [-0.133, 0.67, 0, 0],\n        \"8800\": [0.215, 0.716, 0, 0],\n        \"8801\": [-0.03625, 0.46375, 0, 0],\n        \"8804\": [0.13597, 0.63597, 0, 0],\n        \"8805\": [0.13597, 0.63597, 0, 0],\n        \"8810\": [0.0391, 0.5391, 0, 0],\n        \"8811\": [0.0391, 0.5391, 0, 0],\n        \"8826\": [0.0391, 0.5391, 0, 0],\n        \"8827\": [0.0391, 0.5391, 0, 0],\n        \"8834\": [0.0391, 0.5391, 0, 0],\n        \"8835\": [0.0391, 0.5391, 0, 0],\n        \"8838\": [0.13597, 0.63597, 0, 0],\n        \"8839\": [0.13597, 0.63597, 0, 0],\n        \"8846\": [0, 0.55556, 0, 0],\n        \"8849\": [0.13597, 0.63597, 0, 0],\n        \"8850\": [0.13597, 0.63597, 0, 0],\n        \"8851\": [0, 0.55556, 0, 0],\n   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   \"81\": [0.125, 0.69444, 0, 0],\n        \"82\": [0, 0.69444, 0, 0],\n        \"83\": [0, 0.69444, 0, 0],\n        \"84\": [0, 0.69444, 0, 0],\n        \"85\": [0, 0.69444, 0, 0],\n        \"86\": [0, 0.69444, 0.01389, 0],\n        \"87\": [0, 0.69444, 0.01389, 0],\n        \"88\": [0, 0.69444, 0, 0],\n        \"89\": [0, 0.69444, 0.025, 0],\n        \"90\": [0, 0.69444, 0, 0],\n        \"91\": [0.25, 0.75, 0, 0],\n        \"93\": [0.25, 0.75, 0, 0],\n        \"94\": [0, 0.69444, 0, 0],\n        \"95\": [0.35, 0.09444, 0.02778, 0],\n        \"97\": [0, 0.44444, 0, 0],\n        \"98\": [0, 0.69444, 0, 0],\n        \"99\": [0, 0.44444, 0, 0],\n        \"100\": [0, 0.69444, 0, 0],\n        \"101\": [0, 0.44444, 0, 0],\n        \"102\": [0, 0.69444, 0.06944, 0],\n        \"103\": [0.19444, 0.44444, 0.01389, 0],\n        \"104\": [0, 0.69444, 0, 0],\n        \"105\": [0, 0.67937, 0, 0],\n        \"106\": [0.19444, 0.67937, 0, 0],\n        \"107\": [0, 0.69444, 0, 0],\n        \"108\": [0, 0.69444, 0, 0],\n        \"109\": [0, 0.44444, 0, 0],\n        \"110\": [0, 0.44444, 0, 0],\n        \"111\": [0, 0.44444, 0, 0],\n        \"112\": [0.19444, 0.44444, 0, 0],\n        \"113\": [0.19444, 0.44444, 0, 0],\n        \"114\": [0, 0.44444, 0.01389, 0],\n        \"115\": [0, 0.44444, 0, 0],\n        \"116\": [0, 0.57143, 0, 0],\n        \"117\": [0, 0.44444, 0, 0],\n        \"118\": [0, 0.44444, 0.01389, 0],\n        \"119\": [0, 0.44444, 0.01389, 0],\n        \"120\": [0, 0.44444, 0, 0],\n        \"121\": [0.19444, 0.44444, 0.01389, 0],\n        \"122\": [0, 0.44444, 0, 0],\n        \"126\": [0.35, 0.32659, 0, 0],\n        \"305\": [0, 0.44444, 0, 0],\n        \"567\": [0.19444, 0.44444, 0, 0],\n        \"768\": [0, 0.69444, 0, 0],\n        \"769\": [0, 0.69444, 0, 0],\n        \"770\": [0, 0.69444, 0, 0],\n        \"771\": [0, 0.67659, 0, 0],\n        \"772\": [0, 0.60889, 0, 0],\n        \"774\": [0, 0.69444, 0, 0],\n        \"775\": [0, 0.67937, 0, 0],\n        \"776\": [0, 0.67937, 0, 0],\n        \"778\": [0, 0.69444, 0, 0],\n        \"779\": [0, 0.69444, 0, 0],\n        \"780\": [0, 0.63194, 0, 0],\n        \"915\": [0, 0.69444, 0, 0],\n        \"916\": [0, 0.69444, 0, 0],\n        \"920\": [0, 0.69444, 0, 0],\n        \"923\": [0, 0.69444, 0, 0],\n        \"926\": [0, 0.69444, 0, 0],\n        \"928\": [0, 0.69444, 0, 0],\n        \"931\": [0, 0.69444, 0, 0],\n        \"933\": [0, 0.69444, 0, 0],\n        \"934\": [0, 0.69444, 0, 0],\n        \"936\": [0, 0.69444, 0, 0],\n        \"937\": [0, 0.69444, 0, 0],\n        \"8211\": [0, 0.44444, 0.02778, 0],\n        \"8212\": [0, 0.44444, 0.02778, 0],\n        \"8216\": [0, 0.69444, 0, 0],\n        \"8217\": [0, 0.69444, 0, 0],\n        \"8220\": [0, 0.69444, 0, 0],\n        \"8221\": [0, 0.69444, 0, 0],\n    },\n    \"Script-Regular\": {\n        \"65\": [0, 0.7, 0.22925, 0],\n        \"66\": [0, 0.7, 0.04087, 0],\n        \"67\": [0, 0.7, 0.1689, 0],\n        \"68\": [0, 0.7, 0.09371, 0],\n        \"69\": [0, 0.7, 0.18583, 0],\n        \"70\": [0, 0.7, 0.13634, 0],\n        \"71\": [0, 0.7, 0.17322, 0],\n        \"72\": [0, 0.7, 0.29694, 0],\n        \"73\": [0, 0.7, 0.19189, 0],\n        \"74\": [0.27778, 0.7, 0.19189, 0],\n        \"75\": [0, 0.7, 0.31259, 0],\n        \"76\": [0, 0.7, 0.19189, 0],\n        \"77\": [0, 0.7, 0.15981, 0],\n        \"78\": [0, 0.7, 0.3525, 0],\n        \"79\": [0, 0.7, 0.08078, 0],\n        \"80\": [0, 0.7, 0.08078, 0],\n        \"81\": [0, 0.7, 0.03305, 0],\n        \"82\": [0, 0.7, 0.06259, 0],\n        \"83\": [0, 0.7, 0.19189, 0],\n        \"84\": [0, 0.7, 0.29087, 0],\n        \"85\": [0, 0.7, 0.25815, 0],\n        \"86\": [0, 0.7, 0.27523, 0],\n        \"87\": [0, 0.7, 0.27523, 0],\n        \"88\": [0, 0.7, 0.26006, 0],\n        \"89\": [0, 0.7, 0.2939, 0],\n        \"90\": [0, 0.7, 0.24037, 0],\n    },\n    \"Size1-Regular\": {\n        \"40\": [0.35001, 0.85, 0, 0],\n        \"41\": [0.35001, 0.85, 0, 0],\n        \"47\": [0.35001, 0.85, 0, 0],\n        \"91\": [0.35001, 0.85, 0, 0],\n        \"92\": [0.35001, 0.85, 0, 0],\n        \"93\": [0.35001, 0.85, 0, 0],\n        \"123\": [0.35001, 0.85, 0, 0],\n        \"125\": [0.35001, 0.85, 0, 0],\n        \"710\": [0, 0.72222, 0, 0],\n        \"732\": [0, 0.72222, 0, 0],\n        \"770\": [0, 0.72222, 0, 0],\n        \"771\": [0, 0.72222, 0, 0],\n        \"8214\": [-0.00099, 0.601, 0, 0],\n        \"8593\": [1e-05, 0.6, 0, 0],\n        \"8595\": [1e-05, 0.6, 0, 0],\n        \"8657\": [1e-05, 0.6, 0, 0],\n        \"8659\": [1e-05, 0.6, 0, 0],\n        \"8719\": [0.25001, 0.75, 0, 0],\n        \"8720\": [0.25001, 0.75, 0, 0],\n        \"8721\": [0.25001, 0.75, 0, 0],\n        \"8730\": [0.35001, 0.85, 0, 0],\n        \"8739\": [-0.00599, 0.606, 0, 0],\n        \"8741\": [-0.00599, 0.606, 0, 0],\n        \"8747\": [0.30612, 0.805, 0.19445, 0],\n        \"8748\": [0.306, 0.805, 0.19445, 0],\n        \"8749\": [0.306, 0.805, 0.19445, 0],\n        \"8750\": [0.30612, 0.805, 0.19445, 0],\n        \"8896\": [0.25001, 0.75, 0, 0],\n        \"8897\": [0.25001, 0.75, 0, 0],\n        \"8898\": [0.25001, 0.75, 0, 0],\n        \"8899\": [0.25001, 0.75, 0, 0],\n        \"8968\": [0.35001, 0.85, 0, 0],\n        \"8969\": [0.35001, 0.85, 0, 0],\n        \"8970\": [0.35001, 0.85, 0, 0],\n        \"8971\": [0.35001, 0.85, 0, 0],\n        \"9168\": [-0.00099, 0.601, 0, 0],\n        \"10216\": [0.35001, 0.85, 0, 0],\n        \"10217\": [0.35001, 0.85, 0, 0],\n        \"10752\": [0.25001, 0.75, 0, 0],\n        \"10753\": [0.25001, 0.75, 0, 0],\n        \"10754\": [0.25001, 0.75, 0, 0],\n        \"10756\": [0.25001, 0.75, 0, 0],\n        \"10758\": [0.25001, 0.75, 0, 0],\n    },\n    \"Size2-Regular\": {\n        \"40\": [0.65002, 1.15, 0, 0],\n        \"41\": [0.65002, 1.15, 0, 0],\n        \"47\": [0.65002, 1.15, 0, 0],\n        \"91\": [0.65002, 1.15, 0, 0],\n        \"92\": [0.65002, 1.15, 0, 0],\n        \"93\": [0.65002, 1.15, 0, 0],\n        \"123\": [0.65002, 1.15, 0, 0],\n        \"125\": [0.65002, 1.15, 0, 0],\n        \"710\": [0, 0.75, 0, 0],\n        \"732\": [0, 0.75, 0, 0],\n        \"770\": [0, 0.75, 0, 0],\n        \"771\": [0, 0.75, 0, 0],\n        \"8719\": [0.55001, 1.05, 0, 0],\n        \"8720\": [0.55001, 1.05, 0, 0],\n        \"8721\": [0.55001, 1.05, 0, 0],\n        \"8730\": [0.65002, 1.15, 0, 0],\n        \"8747\": [0.86225, 1.36, 0.44445, 0],\n        \"8748\": [0.862, 1.36, 0.44445, 0],\n        \"8749\": [0.862, 1.36, 0.44445, 0],\n        \"8750\": [0.86225, 1.36, 0.44445, 0],\n        \"8896\": [0.55001, 1.05, 0, 0],\n        \"8897\": [0.55001, 1.05, 0, 0],\n        \"8898\": [0.55001, 1.05, 0, 0],\n        \"8899\": [0.55001, 1.05, 0, 0],\n        \"8968\": [0.65002, 1.15, 0, 0],\n        \"8969\": [0.65002, 1.15, 0, 0],\n        \"8970\": [0.65002, 1.15, 0, 0],\n        \"8971\": [0.65002, 1.15, 0, 0],\n        \"10216\": [0.65002, 1.15, 0, 0],\n        \"10217\": [0.65002, 1.15, 0, 0],\n        \"10752\": [0.55001, 1.05, 0, 0],\n        \"10753\": [0.55001, 1.05, 0, 0],\n        \"10754\": [0.55001, 1.05, 0, 0],\n        \"10756\": [0.55001, 1.05, 0, 0],\n        \"10758\": [0.55001, 1.05, 0, 0],\n    },\n    \"Size3-Regular\": {\n        \"40\": [0.95003, 1.45, 0, 0],\n        \"41\": [0.95003, 1.45, 0, 0],\n        \"47\": [0.95003, 1.45, 0, 0],\n        \"91\": [0.95003, 1.45, 0, 0],\n        \"92\": [0.95003, 1.45, 0, 0],\n        \"93\": [0.95003, 1.45, 0, 0],\n        \"123\": [0.95003, 1.45, 0, 0],\n        \"125\": [0.95003, 1.45, 0, 0],\n        \"710\": [0, 0.75, 0, 0],\n        \"732\": [0, 0.75, 0, 0],\n        \"770\": [0, 0.75, 0, 0],\n        \"771\": [0, 0.75, 0, 0],\n        \"8730\": [0.95003, 1.45, 0, 0],\n        \"8968\": [0.95003, 1.45, 0, 0],\n        \"8969\": [0.95003, 1.45, 0, 0],\n        \"8970\": [0.95003, 1.45, 0, 0],\n        \"8971\": [0.95003, 1.45, 0, 0],\n        \"10216\": [0.95003, 1.45, 0, 0],\n        \"10217\": [0.95003, 1.45, 0, 0],\n    },\n    \"Size4-Regular\": {\n        \"40\": [1.25003, 1.75, 0, 0],\n        \"41\": [1.25003, 1.75, 0, 0],\n        \"47\": [1.25003, 1.75, 0, 0],\n        \"91\": [1.25003, 1.75, 0, 0],\n        \"92\": [1.25003, 1.75, 0, 0],\n        \"93\": [1.25003, 1.75, 0, 0],\n        \"123\": [1.25003, 1.75, 0, 0],\n        \"125\": [1.25003, 1.75, 0, 0],\n        \"710\": [0, 0.825, 0, 0],\n        \"732\": [0, 0.825, 0, 0],\n        \"770\": [0, 0.825, 0, 0],\n        \"771\": [0, 0.825, 0, 0],\n        \"8730\": [1.25003, 1.75, 0, 0],\n        \"8968\": [1.25003, 1.75, 0, 0],\n        \"8969\": [1.25003, 1.75, 0, 0],\n        \"8970\": [1.25003, 1.75, 0, 0],\n        \"8971\": [1.25003, 1.75, 0, 0],\n        \"9115\": [0.64502, 1.155, 0, 0],\n        \"9116\": [1e-05, 0.6, 0, 0],\n        \"9117\": [0.64502, 1.155, 0, 0],\n        \"9118\": [0.64502, 1.155, 0, 0],\n        \"9119\": [1e-05, 0.6, 0, 0],\n        \"9120\": [0.64502, 1.155, 0, 0],\n        \"9121\": [0.64502, 1.155, 0, 0],\n        \"9122\": [-0.00099, 0.601, 0, 0],\n        \"9123\": [0.64502, 1.155, 0, 0],\n        \"9124\": [0.64502, 1.155, 0, 0],\n        \"9125\": [-0.00099, 0.601, 0, 0],\n        \"9126\": [0.64502, 1.155, 0, 0],\n        \"9127\": [1e-05, 0.9, 0, 0],\n        \"9128\": [0.65002, 1.15, 0, 0],\n        \"9129\": [0.90001, 0, 0, 0],\n        \"9130\": [0, 0.3, 0, 0],\n        \"9131\": [1e-05, 0.9, 0, 0],\n        \"9132\": [0.65002, 1.15, 0, 0],\n        \"9133\": [0.90001, 0, 0, 0],\n        \"9143\": [0.88502, 0.915, 0, 0],\n        \"10216\": [1.25003, 1.75, 0, 0],\n        \"10217\": [1.25003, 1.75, 0, 0],\n        \"57344\": [-0.00499, 0.605, 0, 0],\n        \"57345\": [-0.00499, 0.605, 0, 0],\n        \"57680\": [0, 0.12, 0, 0],\n        \"57681\": [0, 0.12, 0, 0],\n        \"57682\": [0, 0.12, 0, 0],\n        \"57683\": [0, 0.12, 0, 0],\n    },\n    \"Typewriter-Regular\": {\n        \"33\": [0, 0.61111, 0, 0],\n        \"34\": [0, 0.61111, 0, 0],\n        \"35\": [0, 0.61111, 0, 0],\n        \"36\": [0.08333, 0.69444, 0, 0],\n        \"37\": [0.08333, 0.69444, 0, 0],\n        \"38\": [0, 0.61111, 0, 0],\n        \"39\": [0, 0.61111, 0, 0],\n        \"40\": [0.08333, 0.69444, 0, 0],\n        \"41\": [0.08333, 0.69444, 0, 0],\n        \"42\": [0, 0.52083, 0, 0],\n        \"43\": [-0.08056, 0.53055, 0, 0],\n        \"44\": [0.13889, 0.125, 0, 0],\n        \"45\": [-0.08056, 0.53055, 0, 0],\n        \"46\": [0, 0.125, 0, 0],\n        \"47\": [0.08333, 0.69444, 0, 0],\n        \"48\": [0, 0.61111, 0, 0],\n        \"49\": [0, 0.61111, 0, 0],\n        \"50\": [0, 0.61111, 0, 0],\n        \"51\": [0, 0.61111, 0, 0],\n        \"52\": [0, 0.61111, 0, 0],\n        \"53\": [0, 0.61111, 0, 0],\n        \"54\": [0, 0.61111, 0, 0],\n        \"55\": [0, 0.61111, 0, 0],\n        \"56\": [0, 0.61111, 0, 0],\n        \"57\": [0, 0.61111, 0, 0],\n        \"58\": [0, 0.43056, 0, 0],\n        \"59\": [0.13889, 0.43056, 0, 0],\n        \"60\": [-0.05556, 0.55556, 0, 0],\n        \"61\": [-0.19549, 0.41562, 0, 0],\n        \"62\": [-0.05556, 0.55556, 0, 0],\n        \"63\": [0, 0.61111, 0, 0],\n        \"64\": [0, 0.61111, 0, 0],\n        \"65\": [0, 0.61111, 0, 0],\n        \"66\": [0, 0.61111, 0, 0],\n        \"67\": [0, 0.61111, 0, 0],\n        \"68\": [0, 0.61111, 0, 0],\n        \"69\": [0, 0.61111, 0, 0],\n        \"70\": [0, 0.61111, 0, 0],\n        \"71\": [0, 0.61111, 0, 0],\n        \"72\": [0, 0.61111, 0, 0],\n        \"73\": [0, 0.61111, 0, 0],\n        \"74\": [0, 0.61111, 0, 0],\n        \"75\": [0, 0.61111, 0, 0],\n        \"76\": [0, 0.61111, 0, 0],\n        \"77\": [0, 0.61111, 0, 0],\n        \"78\": [0, 0.61111, 0, 0],\n        \"79\": [0, 0.61111, 0, 0],\n        \"80\": [0, 0.61111, 0, 0],\n        \"81\": [0.13889, 0.61111, 0, 0],\n        \"82\": [0, 0.61111, 0, 0],\n        \"83\": [0, 0.61111, 0, 0],\n        \"84\": [0, 0.61111, 0, 0],\n        \"85\": [0, 0.61111, 0, 0],\n        \"86\": [0, 0.61111, 0, 0],\n        \"87\": [0, 0.61111, 0, 0],\n        \"88\": [0, 0.61111, 0, 0],\n        \"89\": [0, 0.61111, 0, 0],\n        \"90\": [0, 0.61111, 0, 0],\n        \"91\": [0.08333, 0.69444, 0, 0],\n        \"92\": [0.08333, 0.69444, 0, 0],\n        \"93\": [0.08333, 0.69444, 0, 0],\n        \"94\": [0, 0.61111, 0, 0],\n        \"95\": [0.09514, 0, 0, 0],\n        \"96\": [0, 0.61111, 0, 0],\n        \"97\": [0, 0.43056, 0, 0],\n        \"98\": [0, 0.61111, 0, 0],\n        \"99\": [0, 0.43056, 0, 0],\n        \"100\": [0, 0.61111, 0, 0],\n        \"101\": [0, 0.43056, 0, 0],\n        \"102\": [0, 0.61111, 0, 0],\n        \"103\": [0.22222, 0.43056, 0, 0],\n        \"104\": [0, 0.61111, 0, 0],\n        \"105\": [0, 0.61111, 0, 0],\n        \"106\": [0.22222, 0.61111, 0, 0],\n        \"107\": [0, 0.61111, 0, 0],\n        \"108\": [0, 0.61111, 0, 0],\n        \"109\": [0, 0.43056, 0, 0],\n        \"110\": [0, 0.43056, 0, 0],\n        \"111\": [0, 0.43056, 0, 0],\n        \"112\": [0.22222, 0.43056, 0, 0],\n        \"113\": [0.22222, 0.43056, 0, 0],\n        \"114\": [0, 0.43056, 0, 0],\n        \"115\": [0, 0.43056, 0, 0],\n        \"116\": [0, 0.55358, 0, 0],\n        \"117\": [0, 0.43056, 0, 0],\n        \"118\": [0, 0.43056, 0, 0],\n        \"119\": [0, 0.43056, 0, 0],\n        \"120\": [0, 0.43056, 0, 0],\n        \"121\": [0.22222, 0.43056, 0, 0],\n        \"122\": [0, 0.43056, 0, 0],\n        \"123\": [0.08333, 0.69444, 0, 0],\n        \"124\": [0.08333, 0.69444, 0, 0],\n        \"125\": [0.08333, 0.69444, 0, 0],\n        \"126\": [0, 0.61111, 0, 0],\n        \"127\": [0, 0.61111, 0, 0],\n        \"305\": [0, 0.43056, 0, 0],\n        \"567\": [0.22222, 0.43056, 0, 0],\n        \"768\": [0, 0.61111, 0, 0],\n        \"769\": [0, 0.61111, 0, 0],\n        \"770\": [0, 0.61111, 0, 0],\n        \"771\": [0, 0.61111, 0, 0],\n        \"772\": [0, 0.56555, 0, 0],\n        \"774\": [0, 0.61111, 0, 0],\n        \"776\": [0, 0.61111, 0, 0],\n        \"778\": [0, 0.61111, 0, 0],\n        \"780\": [0, 0.56597, 0, 0],\n        \"915\": [0, 0.61111, 0, 0],\n        \"916\": [0, 0.61111, 0, 0],\n        \"920\": [0, 0.61111, 0, 0],\n        \"923\": [0, 0.61111, 0, 0],\n        \"926\": [0, 0.61111, 0, 0],\n        \"928\": [0, 0.61111, 0, 0],\n        \"931\": [0, 0.61111, 0, 0],\n        \"933\": [0, 0.61111, 0, 0],\n        \"934\": [0, 0.61111, 0, 0],\n        \"936\": [0, 0.61111, 0, 0],\n        \"937\": [0, 0.61111, 0, 0],\n        \"2018\": [0, 0.61111, 0, 0],\n        \"2019\": [0, 0.61111, 0, 0],\n        \"8242\": [0, 0.61111, 0, 0],\n    },\n};\n","var utils = require(\"./utils\");\nvar ParseError = require(\"./ParseError\");\n\n/* This file contains a list of functions that we parse, identified by\n * the calls to defineFunction.\n *\n * The first argument to defineFunction is a single name or a list of names.\n * All functions named in such a list will share a single implementation.\n *\n * Each declared function can have associated properties, which\n * include the following:\n *\n *  - numArgs: The number of arguments the function takes.\n *             If this is the only property, it can be passed as a number\n *             instead of an element of a properties object.\n *  - argTypes: (optional) An array corresponding to each argument of the\n *              function, giving the type of argument that should be parsed. Its\n *              length should be equal to `numArgs + numOptionalArgs`. Valid\n *              types:\n *               - \"size\": A size-like thing, such as \"1em\" or \"5ex\"\n *               - \"color\": An html color, like \"#abc\" or \"blue\"\n *               - \"original\": The same type as the environment that the\n *                             function being parsed is in (e.g. used for the\n *                             bodies of functions like \\color where the first\n *                             argument is special and the second argument is\n *                             parsed normally)\n *              Other possible types (probably shouldn't be used)\n *               - \"text\": Text-like (e.g. \\text)\n *               - \"math\": Normal math\n *              If undefined, this will be treated as an appropriate length\n *              array of \"original\" strings\n *  - greediness: (optional) The greediness of the function to use ungrouped\n *                arguments.\n *\n *                E.g. if you have an expression\n *                  \\sqrt \\frac 1 2\n *                since \\frac has greediness=2 vs \\sqrt's greediness=1, \\frac\n *                will use the two arguments '1' and '2' as its two arguments,\n *                then that whole function will be used as the argument to\n *                \\sqrt. On the other hand, the expressions\n *                  \\frac \\frac 1 2 3\n *                and\n *                  \\frac \\sqrt 1 2\n *                will fail because \\frac and \\frac have equal greediness\n *                and \\sqrt has a lower greediness than \\frac respectively. To\n *                make these parse, we would have to change them to:\n *                  \\frac {\\frac 1 2} 3\n *                and\n *                  \\frac {\\sqrt 1} 2\n *\n *                The default value is `1`\n *  - allowedInText: (optional) Whether or not the function is allowed inside\n *                   text mode (default false)\n *  - numOptionalArgs: (optional) The number of optional arguments the function\n *                     should parse. If the optional arguments aren't found,\n *                     `null` will be passed to the handler in their place.\n *                     (default 0)\n *\n * The last argument is that implementation, the handler for the function(s).\n * It is called to handle these functions and their arguments.\n * It receives two arguments:\n *  - context contains information and references provided by the parser\n *  - args is an array of arguments obtained from TeX input\n * The context contains the following properties:\n *  - funcName: the text (i.e. name) of the function, including \\\n *  - parser: the parser object\n *  - lexer: the lexer object\n *  - positions: the positions in the overall string of the function\n *               and the arguments.\n * The latter three should only be used to produce error messages.\n *\n * The function should return an object with the following keys:\n *  - type: The type of element that this is. This is then used in\n *          buildHTML/buildMathML to determine which function\n *          should be called to build this node into a DOM node\n * Any other data can be added to the object, which will be passed\n * in to the function in buildHTML/buildMathML as `group.value`.\n */\n\nfunction defineFunction(names, props, handler) {\n    if (typeof names === \"string\") {\n        names = [names];\n    }\n    if (typeof props === \"number\") {\n        props = { numArgs: props };\n    }\n    // Set default values of functions\n    var data = {\n        numArgs: props.numArgs,\n        argTypes: props.argTypes,\n        greediness: (props.greediness === undefined) ? 1 : props.greediness,\n        allowedInText: !!props.allowedInText,\n        numOptionalArgs: props.numOptionalArgs || 0,\n        handler: handler,\n    };\n    for (var i = 0; i < names.length; ++i) {\n        module.exports[names[i]] = data;\n    }\n}\n\n// A normal square root\ndefineFunction(\"\\\\sqrt\", {\n    numArgs: 1,\n    numOptionalArgs: 1,\n}, function(context, args) {\n    var index = args[0];\n    var body = args[1];\n    return {\n        type: \"sqrt\",\n        body: body,\n        index: index,\n    };\n});\n\n// Some non-mathy text\ndefineFunction(\"\\\\text\", {\n    numArgs: 1,\n    argTypes: [\"text\"],\n    greediness: 2,\n}, function(context, args) {\n    var body = args[0];\n    // Since the corresponding buildHTML/buildMathML function expects a\n    // list of elements, we normalize for different kinds of arguments\n    // TODO(emily): maybe this should be done somewhere else\n    var inner;\n    if (body.type === \"ordgroup\") {\n        inner = body.value;\n    } else {\n        inner = [body];\n    }\n\n    return {\n        type: \"text\",\n        body: inner,\n    };\n});\n\n// A two-argument custom color\ndefineFunction(\"\\\\color\", {\n    numArgs: 2,\n    allowedInText: true,\n    greediness: 3,\n    argTypes: [\"color\", \"original\"],\n}, function(context, args) {\n    var color = args[0];\n    var body = args[1];\n    // Normalize the different kinds of bodies (see \\text above)\n    var inner;\n    if (body.type === \"ordgroup\") {\n        inner = body.value;\n    } else {\n        inner = [body];\n    }\n\n    return {\n        type: \"color\",\n        color: color.value,\n        value: inner,\n    };\n});\n\n// An overline\ndefineFunction(\"\\\\overline\", {\n    numArgs: 1,\n}, function(context, args) {\n    var body = args[0];\n    return {\n        type: \"overline\",\n        body: body,\n    };\n});\n\n// An underline\ndefineFunction(\"\\\\underline\", {\n    numArgs: 1,\n}, function(context, args) {\n    var body = args[0];\n    return {\n        type: \"underline\",\n        body: body,\n    };\n});\n\n// A box of the width and height\ndefineFunction(\"\\\\rule\", {\n    numArgs: 2,\n    numOptionalArgs: 1,\n    argTypes: [\"size\", \"size\", \"size\"],\n}, function(context, args) {\n    var shift = args[0];\n    var width = args[1];\n    var height = args[2];\n    return {\n        type: \"rule\",\n        shift: shift && shift.value,\n        width: width.value,\n        height: height.value,\n    };\n});\n\n// A KaTeX logo\ndefineFunction(\"\\\\KaTeX\", {\n    numArgs: 0,\n}, function(context) {\n    return {\n        type: \"katex\",\n    };\n});\n\ndefineFunction(\"\\\\phantom\", {\n    numArgs: 1,\n}, function(context, args) {\n    var body = args[0];\n    var inner;\n    if (body.type === \"ordgroup\") {\n        inner = body.value;\n    } else {\n        inner = [body];\n    }\n\n    return {\n        type: \"phantom\",\n        value: inner,\n    };\n});\n\n// Extra data needed for the delimiter handler down below\nvar delimiterSizes = {\n    \"\\\\bigl\" : {type: \"open\",    size: 1},\n    \"\\\\Bigl\" : {type: \"open\",    size: 2},\n    \"\\\\biggl\": {type: \"open\",    size: 3},\n    \"\\\\Biggl\": {type: \"open\",    size: 4},\n    \"\\\\bigr\" : {type: \"close\",   size: 1},\n    \"\\\\Bigr\" : {type: \"close\",   size: 2},\n    \"\\\\biggr\": {type: \"close\",   size: 3},\n    \"\\\\Biggr\": {type: \"close\",   size: 4},\n    \"\\\\bigm\" : {type: \"rel\",     size: 1},\n    \"\\\\Bigm\" : {type: \"rel\",     size: 2},\n    \"\\\\biggm\": {type: \"rel\",     size: 3},\n    \"\\\\Biggm\": {type: \"rel\",     size: 4},\n    \"\\\\big\"  : {type: \"textord\", size: 1},\n    \"\\\\Big\"  : {type: \"textord\", size: 2},\n    \"\\\\bigg\" : {type: \"textord\", size: 3},\n    \"\\\\Bigg\" : {type: \"textord\", size: 4},\n};\n\nvar delimiters = [\n    \"(\", \")\", \"[\", \"\\\\lbrack\", \"]\", \"\\\\rbrack\",\n    \"\\\\{\", \"\\\\lbrace\", \"\\\\}\", \"\\\\rbrace\",\n    \"\\\\lfloor\", \"\\\\rfloor\", \"\\\\lceil\", \"\\\\rceil\",\n    \"<\", \">\", \"\\\\langle\", \"\\\\rangle\", \"\\\\lt\", \"\\\\gt\",\n    \"\\\\lvert\", \"\\\\rvert\", \"\\\\lVert\", \"\\\\rVert\",\n    \"\\\\lgroup\", \"\\\\rgroup\", \"\\\\lmoustache\", \"\\\\rmoustache\",\n    \"/\", \"\\\\backslash\",\n    \"|\", \"\\\\vert\", \"\\\\|\", \"\\\\Vert\",\n    \"\\\\uparrow\", \"\\\\Uparrow\",\n    \"\\\\downarrow\", \"\\\\Downarrow\",\n    \"\\\\updownarrow\", \"\\\\Updownarrow\",\n    \".\",\n];\n\nvar fontAliases = {\n    \"\\\\Bbb\": \"\\\\mathbb\",\n    \"\\\\bold\": \"\\\\mathbf\",\n    \"\\\\frak\": \"\\\\mathfrak\",\n};\n\n// Single-argument color functions\ndefineFunction([\n    \"\\\\blue\", \"\\\\orange\", \"\\\\pink\", \"\\\\red\",\n    \"\\\\green\", \"\\\\gray\", \"\\\\purple\",\n    \"\\\\blueA\", \"\\\\blueB\", \"\\\\blueC\", \"\\\\blueD\", \"\\\\blueE\",\n    \"\\\\tealA\", \"\\\\tealB\", \"\\\\tealC\", \"\\\\tealD\", \"\\\\tealE\",\n    \"\\\\greenA\", \"\\\\greenB\", \"\\\\greenC\", \"\\\\greenD\", \"\\\\greenE\",\n    \"\\\\goldA\", \"\\\\goldB\", \"\\\\goldC\", \"\\\\goldD\", \"\\\\goldE\",\n    \"\\\\redA\", \"\\\\redB\", \"\\\\redC\", \"\\\\redD\", \"\\\\redE\",\n    \"\\\\maroonA\", \"\\\\maroonB\", \"\\\\maroonC\", \"\\\\maroonD\", \"\\\\maroonE\",\n    \"\\\\purpleA\", \"\\\\purpleB\", \"\\\\purpleC\", \"\\\\purpleD\", \"\\\\purpleE\",\n    \"\\\\mintA\", \"\\\\mintB\", \"\\\\mintC\",\n    \"\\\\grayA\", \"\\\\grayB\", \"\\\\grayC\", \"\\\\grayD\", \"\\\\grayE\",\n    \"\\\\grayF\", \"\\\\grayG\", \"\\\\grayH\", \"\\\\grayI\",\n    \"\\\\kaBlue\", \"\\\\kaGreen\",\n], {\n    numArgs: 1,\n    allowedInText: true,\n    greediness: 3,\n}, function(context, args) {\n    var body = args[0];\n    var atoms;\n    if (body.type === \"ordgroup\") {\n        atoms = body.value;\n    } else {\n        atoms = [body];\n    }\n\n    return {\n        type: \"color\",\n        color: \"katex-\" + context.funcName.slice(1),\n        value: atoms,\n    };\n});\n\n// There are 2 flags for operators; whether they produce limits in\n// displaystyle, and whether they are symbols and should grow in\n// displaystyle. These four groups cover the four possible choices.\n\n// No limits, not symbols\ndefineFunction([\n    \"\\\\arcsin\", \"\\\\arccos\", \"\\\\arctan\", \"\\\\arg\", \"\\\\cos\", \"\\\\cosh\",\n    \"\\\\cot\", \"\\\\coth\", \"\\\\csc\", \"\\\\deg\", \"\\\\dim\", \"\\\\exp\", \"\\\\hom\",\n    \"\\\\ker\", \"\\\\lg\", \"\\\\ln\", \"\\\\log\", \"\\\\sec\", \"\\\\sin\", \"\\\\sinh\",\n    \"\\\\tan\", \"\\\\tanh\",\n], {\n    numArgs: 0,\n}, function(context) {\n    return {\n        type: \"op\",\n        limits: false,\n        symbol: false,\n        body: context.funcName,\n    };\n});\n\n// Limits, not symbols\ndefineFunction([\n    \"\\\\det\", \"\\\\gcd\", \"\\\\inf\", \"\\\\lim\", \"\\\\liminf\", \"\\\\limsup\", \"\\\\max\",\n    \"\\\\min\", \"\\\\Pr\", \"\\\\sup\",\n], {\n    numArgs: 0,\n}, function(context) {\n    return {\n        type: \"op\",\n        limits: true,\n        symbol: false,\n        body: context.funcName,\n    };\n});\n\n// No limits, symbols\ndefineFunction([\n    \"\\\\int\", \"\\\\iint\", \"\\\\iiint\", \"\\\\oint\",\n], {\n    numArgs: 0,\n}, function(context) {\n    return {\n        type: \"op\",\n        limits: false,\n        symbol: true,\n        body: context.funcName,\n    };\n});\n\n// Limits, symbols\ndefineFunction([\n    \"\\\\coprod\", \"\\\\bigvee\", \"\\\\bigwedge\", \"\\\\biguplus\", \"\\\\bigcap\",\n    \"\\\\bigcup\", \"\\\\intop\", \"\\\\prod\", \"\\\\sum\", \"\\\\bigotimes\",\n    \"\\\\bigoplus\", \"\\\\bigodot\", \"\\\\bigsqcup\", \"\\\\smallint\",\n], {\n    numArgs: 0,\n}, function(context) {\n    return {\n        type: \"op\",\n        limits: true,\n        symbol: true,\n        body: context.funcName,\n    };\n});\n\n// Fractions\ndefineFunction([\n    \"\\\\dfrac\", \"\\\\frac\", \"\\\\tfrac\",\n    \"\\\\dbinom\", \"\\\\binom\", \"\\\\tbinom\",\n], {\n    numArgs: 2,\n    greediness: 2,\n}, function(context, args) {\n    var numer = args[0];\n    var denom = args[1];\n    var hasBarLine;\n    var leftDelim = null;\n    var rightDelim = null;\n    var size = \"auto\";\n\n    switch (context.funcName) {\n        case \"\\\\dfrac\":\n        case \"\\\\frac\":\n        case \"\\\\tfrac\":\n            hasBarLine = true;\n            break;\n        case \"\\\\dbinom\":\n        case \"\\\\binom\":\n        case \"\\\\tbinom\":\n            hasBarLine = false;\n            leftDelim = \"(\";\n            rightDelim = \")\";\n            break;\n        default:\n            throw new Error(\"Unrecognized genfrac command\");\n    }\n\n    switch (context.funcName) {\n        case \"\\\\dfrac\":\n        case \"\\\\dbinom\":\n            size = \"display\";\n            break;\n        case \"\\\\tfrac\":\n        case \"\\\\tbinom\":\n            size = \"text\";\n            break;\n    }\n\n    return {\n        type: \"genfrac\",\n        numer: numer,\n        denom: denom,\n        hasBarLine: hasBarLine,\n        leftDelim: leftDelim,\n        rightDelim: rightDelim,\n        size: size,\n    };\n});\n\n// Left and right overlap functions\ndefineFunction([\"\\\\llap\", \"\\\\rlap\"], {\n    numArgs: 1,\n    allowedInText: true,\n}, function(context, args) {\n    var body = args[0];\n    return {\n        type: context.funcName.slice(1),\n        body: body,\n    };\n});\n\n// Delimiter functions\ndefineFunction([\n    \"\\\\bigl\", \"\\\\Bigl\", \"\\\\biggl\", \"\\\\Biggl\",\n    \"\\\\bigr\", \"\\\\Bigr\", \"\\\\biggr\", \"\\\\Biggr\",\n    \"\\\\bigm\", \"\\\\Bigm\", \"\\\\biggm\", \"\\\\Biggm\",\n    \"\\\\big\",  \"\\\\Big\",  \"\\\\bigg\",  \"\\\\Bigg\",\n    \"\\\\left\", \"\\\\right\",\n], {\n    numArgs: 1,\n}, function(context, args) {\n    var delim = args[0];\n    if (!utils.contains(delimiters, delim.value)) {\n        throw new ParseError(\n            \"Invalid delimiter: '\" + delim.value + \"' after '\" +\n                context.funcName + \"'\",\n            context.lexer, context.positions[1]);\n    }\n\n    // \\left and \\right are caught somewhere in Parser.js, which is\n    // why this data doesn't match what is in buildHTML.\n    if (context.funcName === \"\\\\left\" || context.funcName === \"\\\\right\") {\n        return {\n            type: \"leftright\",\n            value: delim.value,\n        };\n    } else {\n        return {\n            type: \"delimsizing\",\n            size: delimiterSizes[context.funcName].size,\n            delimType: delimiterSizes[context.funcName].type,\n            value: delim.value,\n        };\n    }\n});\n\n// Sizing functions (handled in Parser.js explicitly, hence no handler)\ndefineFunction([\n    \"\\\\tiny\", \"\\\\scriptsize\", \"\\\\footnotesize\", \"\\\\small\",\n    \"\\\\normalsize\", \"\\\\large\", \"\\\\Large\", \"\\\\LARGE\", \"\\\\huge\", \"\\\\Huge\",\n], 0, null);\n\n// Style changing functions (handled in Parser.js explicitly, hence no\n// handler)\ndefineFunction([\n    \"\\\\displaystyle\", \"\\\\textstyle\", \"\\\\scriptstyle\",\n    \"\\\\scriptscriptstyle\",\n], 0, null);\n\ndefineFunction([\n    // styles\n    \"\\\\mathrm\", \"\\\\mathit\", \"\\\\mathbf\",\n\n    // families\n    \"\\\\mathbb\", \"\\\\mathcal\", \"\\\\mathfrak\", \"\\\\mathscr\", \"\\\\mathsf\",\n    \"\\\\mathtt\",\n\n    // aliases\n    \"\\\\Bbb\", \"\\\\bold\", \"\\\\frak\",\n], {\n    numArgs: 1,\n    greediness: 2,\n}, function(context, args) {\n    var body = args[0];\n    var func = context.funcName;\n    if (func in fontAliases) {\n        func = fontAliases[func];\n    }\n    return {\n        type: \"font\",\n        font: func.slice(1),\n        body: body,\n    };\n});\n\n// Accents\ndefineFunction([\n    \"\\\\acute\", \"\\\\grave\", \"\\\\ddot\", \"\\\\tilde\", \"\\\\bar\", \"\\\\breve\",\n    \"\\\\check\", \"\\\\hat\", \"\\\\vec\", \"\\\\dot\",\n    // We don't support expanding accents yet\n    // \"\\\\widetilde\", \"\\\\widehat\"\n], {\n    numArgs: 1,\n}, function(context, args) {\n    var base = args[0];\n    return {\n        type: \"accent\",\n        accent: context.funcName,\n        base: base,\n    };\n});\n\n// Infix generalized fractions\ndefineFunction([\"\\\\over\", \"\\\\choose\"], {\n    numArgs: 0,\n}, function(context) {\n    var replaceWith;\n    switch (context.funcName) {\n        case \"\\\\over\":\n            replaceWith = \"\\\\frac\";\n            break;\n        case \"\\\\choose\":\n            replaceWith = \"\\\\binom\";\n            break;\n        default:\n            throw new Error(\"Unrecognized infix genfrac command\");\n    }\n    return {\n        type: \"infix\",\n        replaceWith: replaceWith,\n    };\n});\n\n// Row breaks for aligned data\ndefineFunction([\"\\\\\\\\\", \"\\\\cr\"], {\n    numArgs: 0,\n    numOptionalArgs: 1,\n    argTypes: [\"size\"],\n}, function(context, args) {\n    var size = args[0];\n    return {\n        type: \"cr\",\n        size: size,\n    };\n});\n\n// Environment delimiters\ndefineFunction([\"\\\\begin\", \"\\\\end\"], {\n    numArgs: 1,\n    argTypes: [\"text\"],\n}, function(context, args) {\n    var nameGroup = args[0];\n    if (nameGroup.type !== \"ordgroup\") {\n        throw new ParseError(\n            \"Invalid environment name\",\n            context.lexer, context.positions[1]);\n    }\n    var name = \"\";\n    for (var i = 0; i < nameGroup.value.length; ++i) {\n        name += nameGroup.value[i].value;\n    }\n    return {\n        type: \"environment\",\n        name: name,\n        namepos: context.positions[1],\n    };\n});\n","/* eslint no-constant-condition:0 */\nvar fontMetrics = require(\"./fontMetrics\");\nvar parseData = require(\"./parseData\");\nvar ParseError = require(\"./ParseError\");\n\nvar ParseNode = parseData.ParseNode;\n\n/**\n * Parse the body of the environment, with rows delimited by \\\\ and\n * columns delimited by &, and create a nested list in row-major order\n * with one group per cell.\n */\nfunction parseArray(parser, result) {\n    var row = [];\n    var body = [row];\n    var rowGaps = [];\n    while (true) {\n        var cell = parser.parseExpression(false, null);\n        row.push(new ParseNode(\"ordgroup\", cell, parser.mode));\n        var next = parser.nextToken.text;\n        if (next === \"&\") {\n            parser.consume();\n        } else if (next === \"\\\\end\") {\n            break;\n        } else if (next === \"\\\\\\\\\" || next === \"\\\\cr\") {\n            var cr = parser.parseFunction();\n            rowGaps.push(cr.value.size);\n            row = [];\n            body.push(row);\n        } else {\n            // TODO: Clean up the following hack once #385 got merged\n            var pos = Math.min(parser.pos + 1, parser.lexer._input.length);\n            throw new ParseError(\"Expected & or \\\\\\\\ or \\\\end\",\n                                 parser.lexer, pos);\n        }\n    }\n    result.body = body;\n    result.rowGaps = rowGaps;\n    return new ParseNode(result.type, result, parser.mode);\n}\n\n/*\n * An environment definition is very similar to a function definition:\n * it is declared with a name or a list of names, a set of properties\n * and a handler containing the actual implementation.\n *\n * The properties include:\n *  - numArgs: The number of arguments after the \\begin{name} function.\n *  - argTypes: (optional) Just like for a function\n *  - allowedInText: (optional) Whether or not the environment is allowed inside\n *                   text mode (default false) (not enforced yet)\n *  - numOptionalArgs: (optional) Just like for a function\n * A bare number instead of that object indicates the numArgs value.\n *\n * The handler function will receive two arguments\n *  - context: information and references provided by the parser\n *  - args: an array of arguments passed to \\begin{name}\n * The context contains the following properties:\n *  - envName: the name of the environment, one of the listed names.\n *  - parser: the parser object\n *  - lexer: the lexer object\n *  - positions: the positions associated with these arguments from args.\n * The handler must return a ParseResult.\n */\n\nfunction defineEnvironment(names, props, handler) {\n    if (typeof names === \"string\") {\n        names = [names];\n    }\n    if (typeof props === \"number\") {\n        props = { numArgs: props };\n    }\n    // Set default values of environments\n    var data = {\n        numArgs: props.numArgs || 0,\n        argTypes: props.argTypes,\n        greediness: 1,\n        allowedInText: !!props.allowedInText,\n        numOptionalArgs: props.numOptionalArgs || 0,\n        handler: handler,\n    };\n    for (var i = 0; i < names.length; ++i) {\n        module.exports[names[i]] = data;\n    }\n}\n\n// Arrays are part of LaTeX, defined in lttab.dtx so its documentation\n// is part of the source2e.pdf file of LaTeX2e source documentation.\ndefineEnvironment(\"array\", {\n    numArgs: 1,\n}, function(context, args) {\n    var colalign = args[0];\n    colalign = colalign.value.map ? colalign.value : [colalign];\n    var cols = colalign.map(function(node) {\n        var ca = node.value;\n        if (\"lcr\".indexOf(ca) !== -1) {\n            return {\n                type: \"align\",\n                align: ca,\n            };\n        } else if (ca === \"|\") {\n            return {\n                type: \"separator\",\n                separator: \"|\",\n            };\n        }\n        throw new ParseError(\n            \"Unknown column alignment: \" + node.value,\n            context.lexer, context.positions[1]);\n    });\n    var res = {\n        type: \"array\",\n        cols: cols,\n        hskipBeforeAndAfter: true, // \\@preamble in lttab.dtx\n    };\n    res = parseArray(context.parser, res);\n    return res;\n});\n\n// The matrix environments of amsmath builds on the array environment\n// of LaTeX, which is discussed above.\ndefineEnvironment([\n    \"matrix\",\n    \"pmatrix\",\n    \"bmatrix\",\n    \"Bmatrix\",\n    \"vmatrix\",\n    \"Vmatrix\",\n], {\n}, function(context) {\n    var delimiters = {\n        \"matrix\": null,\n        \"pmatrix\": [\"(\", \")\"],\n        \"bmatrix\": [\"[\", \"]\"],\n        \"Bmatrix\": [\"\\\\{\", \"\\\\}\"],\n        \"vmatrix\": [\"|\", \"|\"],\n        \"Vmatrix\": [\"\\\\Vert\", \"\\\\Vert\"],\n    }[context.envName];\n    var res = {\n        type: \"array\",\n        hskipBeforeAndAfter: false, // \\hskip -\\arraycolsep in amsmath\n    };\n    res = parseArray(context.parser, res);\n    if (delimiters) {\n        res = new ParseNode(\"leftright\", {\n            body: [res],\n            left: delimiters[0],\n            right: delimiters[1],\n        }, context.mode);\n    }\n    return res;\n});\n\n// A cases environment (in amsmath.sty) is almost equivalent to\n// \\def\\arraystretch{1.2}%\n// \\left\\{\\begin{array}{@{}l@{\\quad}l@{}} … \\end{array}\\right.\ndefineEnvironment(\"cases\", {\n}, function(context) {\n    var res = {\n        type: \"array\",\n        arraystretch: 1.2,\n        cols: [{\n            type: \"align\",\n            align: \"l\",\n            pregap: 0,\n            postgap: fontMetrics.metrics.quad,\n        }, {\n            type: \"align\",\n            align: \"l\",\n            pregap: 0,\n            postgap: 0,\n        }],\n    };\n    res = parseArray(context.parser, res);\n    res = new ParseNode(\"leftright\", {\n        body: [res],\n        left: \"\\\\{\",\n        right: \".\",\n    }, context.mode);\n    return res;\n});\n\n// An aligned environment is like the align* environment\n// except it operates within math mode.\n// Note that we assume \\nomallineskiplimit to be zero,\n// so that \\strut@ is the same as \\strut.\ndefineEnvironment(\"aligned\", {\n}, function(context) {\n    var res = {\n        type: \"array\",\n        cols: [],\n    };\n    res = parseArray(context.parser, res);\n    var emptyGroup = new ParseNode(\"ordgroup\", [], context.mode);\n    var numCols = 0;\n    res.value.body.forEach(function(row) {\n        var i;\n        for (i = 1; i < row.length; i += 2) {\n            row[i].value.unshift(emptyGroup);\n        }\n        if (numCols < row.length) {\n            numCols = row.length;\n        }\n    });\n    for (var i = 0; i < numCols; ++i) {\n        var align = \"r\";\n        var pregap = 0;\n        if (i % 2 === 1) {\n            align = \"l\";\n        } else if (i > 0) {\n            pregap = 2; // one \\qquad between columns\n        }\n        res.value.cols[i] = {\n            type: \"align\",\n            align: align,\n            pregap: pregap,\n            postgap: 0,\n        };\n    }\n    return res;\n});\n","/**\n * This file contains a list of utility functions which are useful in other\n * files.\n */\n\n/**\n * Provide an `indexOf` function which works in IE8, but defers to native if\n * possible.\n */\nvar nativeIndexOf = Array.prototype.indexOf;\nvar indexOf = function(list, elem) {\n    if (list == null) {\n        return -1;\n    }\n    if (nativeIndexOf && list.indexOf === nativeIndexOf) {\n        return list.indexOf(elem);\n    }\n    var i = 0;\n    var l = list.length;\n    for (; i < l; i++) {\n        if (list[i] === elem) {\n            return i;\n        }\n    }\n    return -1;\n};\n\n/**\n * Return whether an element is contained in a list\n */\nvar contains = function(list, elem) {\n    return indexOf(list, elem) !== -1;\n};\n\n/**\n * Provide a default value if a setting is undefined\n */\nvar deflt = function(setting, defaultIfUndefined) {\n    return setting === undefined ? defaultIfUndefined : setting;\n};\n\n// hyphenate and escape adapted from Facebook's React under Apache 2 license\n\nvar uppercase = /([A-Z])/g;\nvar hyphenate = function(str) {\n    return str.replace(uppercase, \"-$1\").toLowerCase();\n};\n\nvar ESCAPE_LOOKUP = {\n    \"&\": \"&amp;\",\n    \">\": \"&gt;\",\n    \"<\": \"&lt;\",\n    \"\\\"\": \"&quot;\",\n    \"'\": \"&#x27;\",\n};\n\nvar ESCAPE_REGEX = /[&><\"']/g;\n\nfunction escaper(match) {\n    return ESCAPE_LOOKUP[match];\n}\n\n/**\n * Escapes text to prevent scripting attacks.\n *\n * @param {*} text Text value to escape.\n * @return {string} An escaped string.\n */\nfunction escape(text) {\n    return (\"\" + text).replace(ESCAPE_REGEX, escaper);\n}\n\n/**\n * A function to set the text content of a DOM element in all supported\n * browsers. Note that we don't define this if there is no document.\n */\nvar setTextContent;\nif (typeof document !== \"undefined\") {\n    var testNode = document.createElement(\"span\");\n    if (\"textContent\" in testNode) {\n        setTextContent = function(node, text) {\n            node.textContent = text;\n        };\n    } else {\n        setTextContent = function(node, text) {\n            node.innerText = text;\n        };\n    }\n}\n\n/**\n * A function to clear a node.\n */\nfunction clearNode(node) {\n    setTextContent(node, \"\");\n}\n\nmodule.exports = {\n    contains: contains,\n    deflt: deflt,\n    escape: escape,\n    hyphenate: hyphenate,\n    indexOf: indexOf,\n    setTextContent: setTextContent,\n    clearNode: clearNode,\n};\n","/* eslint no-console:0 */\n/**\n * This module contains general functions that can be used for building\n * different kinds of domTree nodes in a consistent manner.\n */\n\nvar domTree = require(\"./domTree\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar greekCapitals = [\n    \"\\\\Gamma\",\n    \"\\\\Delta\",\n    \"\\\\Theta\",\n    \"\\\\Lambda\",\n    \"\\\\Xi\",\n    \"\\\\Pi\",\n    \"\\\\Sigma\",\n    \"\\\\Upsilon\",\n    \"\\\\Phi\",\n    \"\\\\Psi\",\n    \"\\\\Omega\",\n];\n\nvar dotlessLetters = [\n    \"\\u0131\",   // dotless i, \\imath\n    \"\\u0237\",   // dotless j, \\jmath\n];\n\n/**\n * Makes a symbolNode after translation via the list of symbols in symbols.js.\n * Correctly pulls out metrics for the character, and optionally takes a list of\n * classes to be attached to the node.\n */\nvar makeSymbol = function(value, style, mode, color, classes) {\n    // Replace the value with its replaced value from symbol.js\n    if (symbols[mode][value] && symbols[mode][value].replace) {\n        value = symbols[mode][value].replace;\n    }\n\n    var metrics = fontMetrics.getCharacterMetrics(value, style);\n\n    var symbolNode;\n    if (metrics) {\n        symbolNode = new domTree.symbolNode(\n            value, metrics.height, metrics.depth, metrics.italic, metrics.skew,\n            classes);\n    } else {\n        // TODO(emily): Figure out a good way to only print this in development\n        typeof console !== \"undefined\" && console.warn(\n            \"No character metrics for '\" + value + \"' in style '\" +\n                style + \"'\");\n        symbolNode = new domTree.symbolNode(value, 0, 0, 0, 0, classes);\n    }\n\n    if (color) {\n        symbolNode.style.color = color;\n    }\n\n    return symbolNode;\n};\n\n/**\n * Makes a symbol in Main-Regular or AMS-Regular.\n * Used for rel, bin, open, close, inner, and punct.\n */\nvar mathsym = function(value, mode, color, classes) {\n    // Decide what font to render the symbol in by its entry in the symbols\n    // table.\n    // Have a special case for when the value = \\ because the \\ is used as a\n    // textord in unsupported command errors but cannot be parsed as a regular\n    // text ordinal and is therefore not present as a symbol in the symbols\n    // table for text\n    if (value === \"\\\\\" || symbols[mode][value].font === \"main\") {\n        return makeSymbol(value, \"Main-Regular\", mode, color, classes);\n    } else {\n        return makeSymbol(\n            value, \"AMS-Regular\", mode, color, classes.concat([\"amsrm\"]));\n    }\n};\n\n/**\n * Makes a symbol in the default font for mathords and textords.\n */\nvar mathDefault = function(value, mode, color, classes, type) {\n    if (type === \"mathord\") {\n        return mathit(value, mode, color, classes);\n    } else if (type === \"textord\") {\n        return makeSymbol(\n            value, \"Main-Regular\", mode, color, classes.concat([\"mathrm\"]));\n    } else {\n        throw new Error(\"unexpected type: \" + type + \" in mathDefault\");\n    }\n};\n\n/**\n * Makes a symbol in the italic math font.\n */\nvar mathit = function(value, mode, color, classes) {\n    if (/[0-9]/.test(value.charAt(0)) ||\n            // glyphs for \\imath and \\jmath do not exist in Math-Italic so we\n            // need to use Main-Italic instead\n            utils.contains(dotlessLetters, value) ||\n            utils.contains(greekCapitals, value)) {\n        return makeSymbol(\n            value, \"Main-Italic\", mode, color, classes.concat([\"mainit\"]));\n    } else {\n        return makeSymbol(\n            value, \"Math-Italic\", mode, color, classes.concat([\"mathit\"]));\n    }\n};\n\n/**\n * Makes either a mathord or textord in the correct font and color.\n */\nvar makeOrd = function(group, options, type) {\n    var mode = group.mode;\n    var value = group.value;\n    if (symbols[mode][value] && symbols[mode][value].replace) {\n        value = symbols[mode][value].replace;\n    }\n\n    var classes = [\"mord\"];\n    var color = options.getColor();\n\n    var font = options.font;\n    if (font) {\n        if (font === \"mathit\" || utils.contains(dotlessLetters, value)) {\n            return mathit(value, mode, color, classes);\n        } else {\n            var fontName = fontMap[font].fontName;\n            if (fontMetrics.getCharacterMetrics(value, fontName)) {\n                return makeSymbol(\n                    value, fontName, mode, color, classes.concat([font]));\n            } else {\n                return mathDefault(value, mode, color, classes, type);\n            }\n        }\n    } else {\n        return mathDefault(value, mode, color, classes, type);\n    }\n};\n\n/**\n * Calculate the height, depth, and maxFontSize of an element based on its\n * children.\n */\nvar sizeElementFromChildren = function(elem) {\n    var height = 0;\n    var depth = 0;\n    var maxFontSize = 0;\n\n    if (elem.children) {\n        for (var i = 0; i < elem.children.length; i++) {\n            if (elem.children[i].height > height) {\n                height = elem.children[i].height;\n            }\n            if (elem.children[i].depth > depth) {\n                depth = elem.children[i].depth;\n            }\n            if (elem.children[i].maxFontSize > maxFontSize) {\n                maxFontSize = elem.children[i].maxFontSize;\n            }\n        }\n    }\n\n    elem.height = height;\n    elem.depth = depth;\n    elem.maxFontSize = maxFontSize;\n};\n\n/**\n * Makes a span with the given list of classes, list of children, and color.\n */\nvar makeSpan = function(classes, children, color) {\n    var span = new domTree.span(classes, children);\n\n    sizeElementFromChildren(span);\n\n    if (color) {\n        span.style.color = color;\n    }\n\n    return span;\n};\n\n/**\n * Makes a document fragment with the given list of children.\n */\nvar makeFragment = function(children) {\n    var fragment = new domTree.documentFragment(children);\n\n    sizeElementFromChildren(fragment);\n\n    return fragment;\n};\n\n/**\n * Makes an element placed in each of the vlist elements to ensure that each\n * element has the same max font size. To do this, we create a zero-width space\n * with the correct font size.\n */\nvar makeFontSizer = function(options, fontSize) {\n    var fontSizeInner = makeSpan([], [new domTree.symbolNode(\"\\u200b\")]);\n    fontSizeInner.style.fontSize =\n        (fontSize / options.style.sizeMultiplier) + \"em\";\n\n    var fontSizer = makeSpan(\n        [\"fontsize-ensurer\", \"reset-\" + options.size, \"size5\"],\n        [fontSizeInner]);\n\n    return fontSizer;\n};\n\n/**\n * Makes a vertical list by stacking elements and kerns on top of each other.\n * Allows for many different ways of specifying the positioning method.\n *\n * Arguments:\n *  - children: A list of child or kern nodes to be stacked on top of each other\n *              (i.e. the first element will be at the bottom, and the last at\n *              the top). Element nodes are specified as\n *                {type: \"elem\", elem: node}\n *              while kern nodes are specified as\n *                {type: \"kern\", size: size}\n *  - positionType: The method by which the vlist should be positioned. Valid\n *                  values are:\n *                   - \"individualShift\": The children list only contains elem\n *                                        nodes, and each node contains an extra\n *                                        \"shift\" value of how much it should be\n *                                        shifted (note that shifting is always\n *                                        moving downwards). positionData is\n *                                        ignored.\n *                   - \"top\": The positionData specifies the topmost point of\n *                            the vlist (note this is expected to be a height,\n *                            so positive values move up)\n *                   - \"bottom\": The positionData specifies the bottommost point\n *                               of the vlist (note this is expected to be a\n *                               depth, so positive values move down\n *                   - \"shift\": The vlist will be positioned such that its\n *                              baseline is positionData away from the baseline\n *                              of the first child. Positive values move\n *                              downwards.\n *                   - \"firstBaseline\": The vlist will be positioned such that\n *                                      its baseline is aligned with the\n *                                      baseline of the first child.\n *                                      positionData is ignored. (this is\n *                                      equivalent to \"shift\" with\n *                                      positionData=0)\n *  - positionData: Data used in different ways depending on positionType\n *  - options: An Options object\n *\n */\nvar makeVList = function(children, positionType, positionData, options) {\n    var depth;\n    var currPos;\n    var i;\n    if (positionType === \"individualShift\") {\n        var oldChildren = children;\n        children = [oldChildren[0]];\n\n        // Add in kerns to the list of children to get each element to be\n        // shifted to the correct specified shift\n        depth = -oldChildren[0].shift - oldChildren[0].elem.depth;\n        currPos = depth;\n        for (i = 1; i < oldChildren.length; i++) {\n            var diff = -oldChildren[i].shift - currPos -\n                oldChildren[i].elem.depth;\n            var size = diff -\n                (oldChildren[i - 1].elem.height +\n                 oldChildren[i - 1].elem.depth);\n\n            currPos = currPos + diff;\n\n            children.push({type: \"kern\", size: size});\n            children.push(oldChildren[i]);\n        }\n    } else if (positionType === \"top\") {\n        // We always start at the bottom, so calculate the bottom by adding up\n        // all the sizes\n        var bottom = positionData;\n        for (i = 0; i < children.length; i++) {\n            if (children[i].type === \"kern\") {\n                bottom -= children[i].size;\n            } else {\n                bottom -= children[i].elem.height + children[i].elem.depth;\n            }\n        }\n        depth = bottom;\n    } else if (positionType === \"bottom\") {\n        depth = -positionData;\n    } else if (positionType === \"shift\") {\n        depth = -children[0].elem.depth - positionData;\n    } else if (positionType === \"firstBaseline\") {\n        depth = -children[0].elem.depth;\n    } else {\n        depth = 0;\n    }\n\n    // Make the fontSizer\n    var maxFontSize = 0;\n    for (i = 0; i < children.length; i++) {\n        if (children[i].type === \"elem\") {\n            maxFontSize = Math.max(maxFontSize, children[i].elem.maxFontSize);\n        }\n    }\n    var fontSizer = makeFontSizer(options, maxFontSize);\n\n    // Create a new list of actual children at the correct offsets\n    var realChildren = [];\n    currPos = depth;\n    for (i = 0; i < children.length; i++) {\n        if (children[i].type === \"kern\") {\n            currPos += children[i].size;\n        } else {\n            var child = children[i].elem;\n\n            var shift = -child.depth - currPos;\n            currPos += child.height + child.depth;\n\n            var childWrap = makeSpan([], [fontSizer, child]);\n            childWrap.height -= shift;\n            childWrap.depth += shift;\n            childWrap.style.top = shift + \"em\";\n\n            realChildren.push(childWrap);\n        }\n    }\n\n    // Add in an element at the end with no offset to fix the calculation of\n    // baselines in some browsers (namely IE, sometimes safari)\n    var baselineFix = makeSpan(\n        [\"baseline-fix\"], [fontSizer, new domTree.symbolNode(\"\\u200b\")]);\n    realChildren.push(baselineFix);\n\n    var vlist = makeSpan([\"vlist\"], realChildren);\n    // Fix the final height and depth, in case there were kerns at the ends\n    // since the makeSpan calculation won't take that in to account.\n    vlist.height = Math.max(currPos, vlist.height);\n    vlist.depth = Math.max(-depth, vlist.depth);\n    return vlist;\n};\n\n// A table of size -> font size for the different sizing functions\nvar sizingMultiplier = {\n    size1: 0.5,\n    size2: 0.7,\n    size3: 0.8,\n    size4: 0.9,\n    size5: 1.0,\n    size6: 1.2,\n    size7: 1.44,\n    size8: 1.73,\n    size9: 2.07,\n    size10: 2.49,\n};\n\n// A map of spacing functions to their attributes, like size and corresponding\n// CSS class\nvar spacingFunctions = {\n    \"\\\\qquad\": {\n        size: \"2em\",\n        className: \"qquad\",\n    },\n    \"\\\\quad\": {\n        size: \"1em\",\n        className: \"quad\",\n    },\n    \"\\\\enspace\": {\n        size: \"0.5em\",\n        className: \"enspace\",\n    },\n    \"\\\\;\": {\n        size: \"0.277778em\",\n        className: \"thickspace\",\n    },\n    \"\\\\:\": {\n        size: \"0.22222em\",\n        className: \"mediumspace\",\n    },\n    \"\\\\,\": {\n        size: \"0.16667em\",\n        className: \"thinspace\",\n    },\n    \"\\\\!\": {\n        size: \"-0.16667em\",\n        className: \"negativethinspace\",\n    },\n};\n\n/**\n * Maps TeX font commands to objects containing:\n * - variant: string used for \"mathvariant\" attribute in buildMathML.js\n * - fontName: the \"style\" parameter to fontMetrics.getCharacterMetrics\n */\n// A map between tex font commands an MathML mathvariant attribute values\nvar fontMap = {\n    // styles\n    \"mathbf\": {\n        variant: \"bold\",\n        fontName: \"Main-Bold\",\n    },\n    \"mathrm\": {\n        variant: \"normal\",\n        fontName: \"Main-Regular\",\n    },\n\n    // \"mathit\" is missing because it requires the use of two fonts: Main-Italic\n    // and Math-Italic.  This is handled by a special case in makeOrd which ends\n    // up calling mathit.\n\n    // families\n    \"mathbb\": {\n        variant: \"double-struck\",\n        fontName: \"AMS-Regular\",\n    },\n    \"mathcal\": {\n        variant: \"script\",\n        fontName: \"Caligraphic-Regular\",\n    },\n    \"mathfrak\": {\n        variant: \"fraktur\",\n        fontName: \"Fraktur-Regular\",\n    },\n    \"mathscr\": {\n        variant: \"script\",\n        fontName: \"Script-Regular\",\n    },\n    \"mathsf\": {\n        variant: \"sans-serif\",\n        fontName: \"SansSerif-Regular\",\n    },\n    \"mathtt\": {\n        variant: \"monospace\",\n        fontName: \"Typewriter-Regular\",\n    },\n};\n\nmodule.exports = {\n    fontMap: fontMap,\n    makeSymbol: makeSymbol,\n    mathsym: mathsym,\n    makeSpan: makeSpan,\n    makeFragment: makeFragment,\n    makeVList: makeVList,\n    makeOrd: makeOrd,\n    sizingMultiplier: sizingMultiplier,\n    spacingFunctions: spacingFunctions,\n};\n","/**\n * The resulting parse tree nodes of the parse tree.\n */\nfunction ParseNode(type, value, mode) {\n    this.type = type;\n    this.value = value;\n    this.mode = mode;\n}\n\nmodule.exports = {\n    ParseNode: ParseNode,\n};\n\n","/* eslint no-unused-vars:0 */\n\nvar Style = require(\"./Style\");\n\n/**\n * This file contains metrics regarding fonts and individual symbols. The sigma\n * and xi variables, as well as the metricMap map contain data extracted from\n * TeX, TeX font metrics, and the TTF files. These data are then exposed via the\n * `metrics` variable and the getCharacterMetrics function.\n */\n\n// These font metrics are extracted from TeX by using\n// \\font\\a=cmmi10\n// \\showthe\\fontdimenX\\a\n// where X is the corresponding variable number. These correspond to the font\n// parameters of the symbol fonts. In TeX, there are actually three sets of\n// dimensions, one for each of textstyle, scriptstyle, and scriptscriptstyle,\n// but we only use the textstyle ones, and scale certain dimensions accordingly.\n// See the TeXbook, page 441.\nvar sigma1 = 0.025;\nvar sigma2 = 0;\nvar sigma3 = 0;\nvar sigma4 = 0;\nvar sigma5 = 0.431;\nvar sigma6 = 1;\nvar sigma7 = 0;\nvar sigma8 = 0.677;\nvar sigma9 = 0.394;\nvar sigma10 = 0.444;\nvar sigma11 = 0.686;\nvar sigma12 = 0.345;\nvar sigma13 = 0.413;\nvar sigma14 = 0.363;\nvar sigma15 = 0.289;\nvar sigma16 = 0.150;\nvar sigma17 = 0.247;\nvar sigma18 = 0.386;\nvar sigma19 = 0.050;\nvar sigma20 = 2.390;\nvar sigma21 = 1.01;\nvar sigma21Script = 0.81;\nvar sigma21ScriptScript = 0.71;\nvar sigma22 = 0.250;\n\n// These font metrics are extracted from TeX by using\n// \\font\\a=cmex10\n// \\showthe\\fontdimenX\\a\n// where X is the corresponding variable number. These correspond to the font\n// parameters of the extension fonts (family 3). See the TeXbook, page 441.\nvar xi1 = 0;\nvar xi2 = 0;\nvar xi3 = 0;\nvar xi4 = 0;\nvar xi5 = 0.431;\nvar xi6 = 1;\nvar xi7 = 0;\nvar xi8 = 0.04;\nvar xi9 = 0.111;\nvar xi10 = 0.166;\nvar xi11 = 0.2;\nvar xi12 = 0.6;\nvar xi13 = 0.1;\n\n// This value determines how large a pt is, for metrics which are defined in\n// terms of pts.\n// This value is also used in katex.less; if you change it make sure the values\n// match.\nvar ptPerEm = 10.0;\n\n// The space between adjacent `|` columns in an array definition. From\n// `\\showthe\\doublerulesep` in LaTeX.\nvar doubleRuleSep = 2.0 / ptPerEm;\n\n/**\n * This is just a mapping from common names to real metrics\n */\nvar metrics = {\n    xHeight: sigma5,\n    quad: sigma6,\n    num1: sigma8,\n    num2: sigma9,\n    num3: sigma10,\n    denom1: sigma11,\n    denom2: sigma12,\n    sup1: sigma13,\n    sup2: sigma14,\n    sup3: sigma15,\n    sub1: sigma16,\n    sub2: sigma17,\n    supDrop: sigma18,\n    subDrop: sigma19,\n    axisHeight: sigma22,\n    defaultRuleThickness: xi8,\n    bigOpSpacing1: xi9,\n    bigOpSpacing2: xi10,\n    bigOpSpacing3: xi11,\n    bigOpSpacing4: xi12,\n    bigOpSpacing5: xi13,\n    ptPerEm: ptPerEm,\n    emPerEx: sigma5 / sigma6,\n    doubleRuleSep: doubleRuleSep,\n\n    // TODO(alpert): Missing parallel structure here. We should probably add\n    // style-specific metrics for all of these.\n    delim1: sigma20,\n    getDelim2: function(style) {\n        if (style.size === Style.TEXT.size) {\n            return sigma21;\n        } else if (style.size === Style.SCRIPT.size) {\n            return sigma21Script;\n        } else if (style.size === Style.SCRIPTSCRIPT.size) {\n            return sigma21ScriptScript;\n        }\n        throw new Error(\"Unexpected style size: \" + style.size);\n    },\n};\n\n// This map contains a mapping from font name and character code to character\n// metrics, including height, depth, italic correction, and skew (kern from the\n// character to the corresponding \\skewchar)\n// This map is generated via `make metrics`. It should not be changed manually.\nvar metricMap = require(\"./fontMetricsData\");\n\n/**\n * This function is a convenience function for looking up information in the\n * metricMap table. It takes a character as a string, and a style.\n *\n * Note: the `width` property may be undefined if fontMetricsData.js wasn't\n * built using `Make extended_metrics`.\n */\nvar getCharacterMetrics = function(character, style) {\n    var metrics = metricMap[style][character.charCodeAt(0)];\n    if (metrics) {\n        return {\n            depth: metrics[0],\n            height: metrics[1],\n            italic: metrics[2],\n            skew: metrics[3],\n            width: metrics[4],\n        };\n    }\n};\n\nmodule.exports = {\n    metrics: metrics,\n    getCharacterMetrics: getCharacterMetrics,\n};\n","/* eslint no-console:0 */\n/**\n * This file does the main work of building a domTree structure from a parse\n * tree. The entry point is the `buildHTML` function, which takes a parse tree.\n * Then, the buildExpression, buildGroup, and various groupTypes functions are\n * called, to produce a final HTML tree.\n */\n\nvar ParseError = require(\"./ParseError\");\nvar Style = require(\"./Style\");\n\nvar buildCommon = require(\"./buildCommon\");\nvar delimiter = require(\"./delimiter\");\nvar domTree = require(\"./domTree\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar utils = require(\"./utils\");\n\nvar makeSpan = buildCommon.makeSpan;\n\n/**\n * Take a list of nodes, build them in order, and return a list of the built\n * nodes. This function handles the `prev` node correctly, and passes the\n * previous element from the list as the prev of the next element.\n */\nvar buildExpression = function(expression, options, prev) {\n    var groups = [];\n    for (var i = 0; i < expression.length; i++) {\n        var group = expression[i];\n        groups.push(buildGroup(group, options, prev));\n        prev = group;\n    }\n    return groups;\n};\n\n// List of types used by getTypeOfGroup,\n// see https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types\nvar groupToType = {\n    mathord: \"mord\",\n    textord: \"mord\",\n    bin: \"mbin\",\n    rel: \"mrel\",\n    text: \"mord\",\n    open: \"mopen\",\n    close: \"mclose\",\n    inner: \"minner\",\n    genfrac: \"mord\",\n    array: \"mord\",\n    spacing: \"mord\",\n    punct: \"mpunct\",\n    ordgroup: \"mord\",\n    op: \"mop\",\n    katex: \"mord\",\n    overline: \"mord\",\n    underline: \"mord\",\n    rule: \"mord\",\n    leftright: \"minner\",\n    sqrt: \"mord\",\n    accent: \"mord\",\n};\n\n/**\n * Gets the final math type of an expression, given its group type. This type is\n * used to determine spacing between elements, and affects bin elements by\n * causing them to change depending on what types are around them. This type\n * must be attached to the outermost node of an element as a CSS class so that\n * spacing with its surrounding elements works correctly.\n *\n * Some elements can be mapped one-to-one from group type to math type, and\n * those are listed in the `groupToType` table.\n *\n * Others (usually elements that wrap around other elements) often have\n * recursive definitions, and thus call `getTypeOfGroup` on their inner\n * elements.\n */\nvar getTypeOfGroup = function(group) {\n    if (group == null) {\n        // Like when typesetting $^3$\n        return groupToType.mathord;\n    } else if (group.type === \"supsub\") {\n        return getTypeOfGroup(group.value.base);\n    } else if (group.type === \"llap\" || group.type === \"rlap\") {\n        return getTypeOfGroup(group.value);\n    } else if (group.type === \"color\") {\n        return getTypeOfGroup(group.value.value);\n    } else if (group.type === \"sizing\") {\n        return getTypeOfGroup(group.value.value);\n    } else if (group.type === \"styling\") {\n        return getTypeOfGroup(group.value.value);\n    } else if (group.type === \"delimsizing\") {\n        return groupToType[group.value.delimType];\n    } else {\n        return groupToType[group.type];\n    }\n};\n\n/**\n * Sometimes, groups perform special rules when they have superscripts or\n * subscripts attached to them. This function lets the `supsub` group know that\n * its inner element should handle the superscripts and subscripts instead of\n * handling them itself.\n */\nvar shouldHandleSupSub = function(group, options) {\n    if (!group) {\n        return false;\n    } else if (group.type === \"op\") {\n        // Operators handle supsubs differently when they have limits\n        // (e.g. `\\displaystyle\\sum_2^3`)\n        return group.value.limits &&\n            (options.style.size === Style.DISPLAY.size ||\n            group.value.alwaysHandleSupSub);\n    } else if (group.type === \"accent\") {\n        return isCharacterBox(group.value.base);\n    } else {\n        return null;\n    }\n};\n\n/**\n * Sometimes we want to pull out the innermost element of a group. In most\n * cases, this will just be the group itself, but when ordgroups and colors have\n * a single element, we want to pull that out.\n */\nvar getBaseElem = function(group) {\n    if (!group) {\n        return false;\n    } else if (group.type === \"ordgroup\") {\n        if (group.value.length === 1) {\n            return getBaseElem(group.value[0]);\n        } else {\n            return group;\n        }\n    } else if (group.type === \"color\") {\n        if (group.value.value.length === 1) {\n            return getBaseElem(group.value.value[0]);\n        } else {\n            return group;\n        }\n    } else {\n        return group;\n    }\n};\n\n/**\n * TeXbook algorithms often reference \"character boxes\", which are simply groups\n * with a single character in them. To decide if something is a character box,\n * we find its innermost group, and see if it is a single character.\n */\nvar isCharacterBox = function(group) {\n    var baseElem = getBaseElem(group);\n\n    // These are all they types of groups which hold single characters\n    return baseElem.type === \"mathord\" ||\n        baseElem.type === \"textord\" ||\n        baseElem.type === \"bin\" ||\n        baseElem.type === \"rel\" ||\n        baseElem.type === \"inner\" ||\n        baseElem.type === \"open\" ||\n        baseElem.type === \"close\" ||\n        baseElem.type === \"punct\";\n};\n\nvar makeNullDelimiter = function(options) {\n    return makeSpan([\n        \"sizing\", \"reset-\" + options.size, \"size5\",\n        options.style.reset(), Style.TEXT.cls(),\n        \"nulldelimiter\",\n    ]);\n};\n\n/**\n * This is a map of group types to the function used to handle that type.\n * Simpler types come at the beginning, while complicated types come afterwards.\n */\nvar groupTypes = {};\n\ngroupTypes.mathord = function(group, options, prev) {\n    return buildCommon.makeOrd(group, options, \"mathord\");\n};\n\ngroupTypes.textord = function(group, options, prev) {\n    return buildCommon.makeOrd(group, options, \"textord\");\n};\n\ngroupTypes.bin = function(group, options, prev) {\n    var className = \"mbin\";\n    // Pull out the most recent element. Do some special handling to find\n    // things at the end of a \\color group. Note that we don't use the same\n    // logic for ordgroups (which count as ords).\n    var prevAtom = prev;\n    while (prevAtom && prevAtom.type === \"color\") {\n        var atoms = prevAtom.value.value;\n        prevAtom = atoms[atoms.length - 1];\n    }\n    // See TeXbook pg. 442-446, Rules 5 and 6, and the text before Rule 19.\n    // Here, we determine whether the bin should turn into an ord. We\n    // currently only apply Rule 5.\n    if (!prev || utils.contains([\"mbin\", \"mopen\", \"mrel\", \"mop\", \"mpunct\"],\n            getTypeOfGroup(prevAtom))) {\n        group.type = \"textord\";\n        className = \"mord\";\n    }\n\n    return buildCommon.mathsym(\n        group.value, group.mode, options.getColor(), [className]);\n};\n\ngroupTypes.rel = function(group, options, prev) {\n    return buildCommon.mathsym(\n        group.value, group.mode, options.getColor(), [\"mrel\"]);\n};\n\ngroupTypes.open = function(group, options, prev) {\n    return buildCommon.mathsym(\n        group.value, group.mode, options.getColor(), [\"mopen\"]);\n};\n\ngroupTypes.close = function(group, options, prev) {\n    return buildCommon.mathsym(\n        group.value, group.mode, options.getColor(), [\"mclose\"]);\n};\n\ngroupTypes.inner = function(group, options, prev) {\n    return buildCommon.mathsym(\n        group.value, group.mode, options.getColor(), [\"minner\"]);\n};\n\ngroupTypes.punct = function(group, options, prev) {\n    return buildCommon.mathsym(\n        group.value, group.mode, options.getColor(), [\"mpunct\"]);\n};\n\ngroupTypes.ordgroup = function(group, options, prev) {\n    return makeSpan(\n        [\"mord\", options.style.cls()],\n        buildExpression(group.value, options.reset())\n    );\n};\n\ngroupTypes.text = function(group, options, prev) {\n    return makeSpan([\"text\", \"mord\", options.style.cls()],\n        buildExpression(group.value.body, options.reset()));\n};\n\ngroupTypes.color = function(group, options, prev) {\n    var elements = buildExpression(\n        group.value.value,\n        options.withColor(group.value.color),\n        prev\n    );\n\n    // \\color isn't supposed to affect the type of the elements it contains.\n    // To accomplish this, we wrap the results in a fragment, so the inner\n    // elements will be able to directly interact with their neighbors. For\n    // example, `\\color{red}{2 +} 3` has the same spacing as `2 + 3`\n    return new buildCommon.makeFragment(elements);\n};\n\ngroupTypes.supsub = function(group, options, prev) {\n    // Superscript and subscripts are handled in the TeXbook on page\n    // 445-446, rules 18(a-f).\n\n    // Here is where we defer to the inner group if it should handle\n    // superscripts and subscripts itself.\n    if (shouldHandleSupSub(group.value.base, options)) {\n        return groupTypes[group.value.base.type](group, options, prev);\n    }\n\n    var base = buildGroup(group.value.base, options.reset());\n    var supmid;\n    var submid;\n    var sup;\n    var sub;\n\n    if (group.value.sup) {\n        sup = buildGroup(group.value.sup,\n                options.withStyle(options.style.sup()));\n        supmid = makeSpan(\n                [options.style.reset(), options.style.sup().cls()], [sup]);\n    }\n\n    if (group.value.sub) {\n        sub = buildGroup(group.value.sub,\n                options.withStyle(options.style.sub()));\n        submid = makeSpan(\n                [options.style.reset(), options.style.sub().cls()], [sub]);\n    }\n\n    // Rule 18a\n    var supShift;\n    var subShift;\n    if (isCharacterBox(group.value.base)) {\n        supShift = 0;\n        subShift = 0;\n    } else {\n        supShift = base.height - fontMetrics.metrics.supDrop;\n        subShift = base.depth + fontMetrics.metrics.subDrop;\n    }\n\n    // Rule 18c\n    var minSupShift;\n    if (options.style === Style.DISPLAY) {\n        minSupShift = fontMetrics.metrics.sup1;\n    } else if (options.style.cramped) {\n        minSupShift = fontMetrics.metrics.sup3;\n    } else {\n        minSupShift = fontMetrics.metrics.sup2;\n    }\n\n    // scriptspace is a font-size-independent size, so scale it\n    // appropriately\n    var multiplier = Style.TEXT.sizeMultiplier *\n            options.style.sizeMultiplier;\n    var scriptspace =\n        (0.5 / fontMetrics.metrics.ptPerEm) / multiplier + \"em\";\n\n    var supsub;\n    if (!group.value.sup) {\n        // Rule 18b\n        subShift = Math.max(\n            subShift, fontMetrics.metrics.sub1,\n            sub.height - 0.8 * fontMetrics.metrics.xHeight);\n\n        supsub = buildCommon.makeVList([\n            {type: \"elem\", elem: submid},\n        ], \"shift\", subShift, options);\n\n        supsub.children[0].style.marginRight = scriptspace;\n\n        // Subscripts shouldn't be shifted by the base's italic correction.\n        // Account for that by shifting the subscript back the appropriate\n        // amount. Note we only do this when the base is a single symbol.\n        if (base instanceof domTree.symbolNode) {\n            supsub.children[0].style.marginLeft = -base.italic + \"em\";\n        }\n    } else if (!group.value.sub) {\n        // Rule 18c, d\n        supShift = Math.max(supShift, minSupShift,\n            sup.depth + 0.25 * fontMetrics.metrics.xHeight);\n\n        supsub = buildCommon.makeVList([\n            {type: \"elem\", elem: supmid},\n        ], \"shift\", -supShift, options);\n\n        supsub.children[0].style.marginRight = scriptspace;\n    } else {\n        supShift = Math.max(\n            supShift, minSupShift,\n            sup.depth + 0.25 * fontMetrics.metrics.xHeight);\n        subShift = Math.max(subShift, fontMetrics.metrics.sub2);\n\n        var ruleWidth = fontMetrics.metrics.defaultRuleThickness;\n\n        // Rule 18e\n        if ((supShift - sup.depth) - (sub.height - subShift) <\n                4 * ruleWidth) {\n            subShift = 4 * ruleWidth - (supShift - sup.depth) + sub.height;\n            var psi = 0.8 * fontMetrics.metrics.xHeight -\n                (supShift - sup.depth);\n            if (psi > 0) {\n                supShift += psi;\n                subShift -= psi;\n            }\n        }\n\n        supsub = buildCommon.makeVList([\n            {type: \"elem\", elem: submid, shift: subShift},\n            {type: \"elem\", elem: supmid, shift: -supShift},\n        ], \"individualShift\", null, options);\n\n        // See comment above about subscripts not being shifted\n        if (base instanceof domTree.symbolNode) {\n            supsub.children[0].style.marginLeft = -base.italic + \"em\";\n        }\n\n        supsub.children[0].style.marginRight = scriptspace;\n        supsub.children[1].style.marginRight = scriptspace;\n    }\n\n    return makeSpan([getTypeOfGroup(group.value.base)],\n        [base, supsub]);\n};\n\ngroupTypes.genfrac = function(group, options, prev) {\n    // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).\n    // Figure out what style this fraction should be in based on the\n    // function used\n    var fstyle = options.style;\n    if (group.value.size === \"display\") {\n        fstyle = Style.DISPLAY;\n    } else if (group.value.size === \"text\") {\n        fstyle = Style.TEXT;\n    }\n\n    var nstyle = fstyle.fracNum();\n    var dstyle = fstyle.fracDen();\n\n    var numer = buildGroup(group.value.numer, options.withStyle(nstyle));\n    var numerreset = makeSpan([fstyle.reset(), nstyle.cls()], [numer]);\n\n    var denom = buildGroup(group.value.denom, options.withStyle(dstyle));\n    var denomreset = makeSpan([fstyle.reset(), dstyle.cls()], [denom]);\n\n    var ruleWidth;\n    if (group.value.hasBarLine) {\n        ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n            options.style.sizeMultiplier;\n    } else {\n        ruleWidth = 0;\n    }\n\n    // Rule 15b\n    var numShift;\n    var clearance;\n    var denomShift;\n    if (fstyle.size === Style.DISPLAY.size) {\n        numShift = fontMetrics.metrics.num1;\n        if (ruleWidth > 0) {\n            clearance = 3 * ruleWidth;\n        } else {\n            clearance = 7 * fontMetrics.metrics.defaultRuleThickness;\n        }\n        denomShift = fontMetrics.metrics.denom1;\n    } else {\n        if (ruleWidth > 0) {\n            numShift = fontMetrics.metrics.num2;\n            clearance = ruleWidth;\n        } else {\n            numShift = fontMetrics.metrics.num3;\n            clearance = 3 * fontMetrics.metrics.defaultRuleThickness;\n        }\n        denomShift = fontMetrics.metrics.denom2;\n    }\n\n    var frac;\n    if (ruleWidth === 0) {\n        // Rule 15c\n        var candiateClearance =\n            (numShift - numer.depth) - (denom.height - denomShift);\n        if (candiateClearance < clearance) {\n            numShift += 0.5 * (clearance - candiateClearance);\n            denomShift += 0.5 * (clearance - candiateClearance);\n        }\n\n        frac = buildCommon.makeVList([\n            {type: \"elem\", elem: denomreset, shift: denomShift},\n            {type: \"elem\", elem: numerreset, shift: -numShift},\n        ], \"individualShift\", null, options);\n    } else {\n        // Rule 15d\n        var axisHeight = fontMetrics.metrics.axisHeight;\n\n        if ((numShift - numer.depth) - (axisHeight + 0.5 * ruleWidth) <\n                clearance) {\n            numShift +=\n                clearance - ((numShift - numer.depth) -\n                             (axisHeight + 0.5 * ruleWidth));\n        }\n\n        if ((axisHeight - 0.5 * ruleWidth) - (denom.height - denomShift) <\n                clearance) {\n            denomShift +=\n                clearance - ((axisHeight - 0.5 * ruleWidth) -\n                             (denom.height - denomShift));\n        }\n\n        var mid = makeSpan(\n            [options.style.reset(), Style.TEXT.cls(), \"frac-line\"]);\n        // Manually set the height of the line because its height is\n        // created in CSS\n        mid.height = ruleWidth;\n\n        var midShift = -(axisHeight - 0.5 * ruleWidth);\n\n        frac = buildCommon.makeVList([\n            {type: \"elem\", elem: denomreset, shift: denomShift},\n            {type: \"elem\", elem: mid,        shift: midShift},\n            {type: \"elem\", elem: numerreset, shift: -numShift},\n        ], \"individualShift\", null, options);\n    }\n\n    // Since we manually change the style sometimes (with \\dfrac or \\tfrac),\n    // account for the possible size change here.\n    frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier;\n    frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier;\n\n    // Rule 15e\n    var delimSize;\n    if (fstyle.size === Style.DISPLAY.size) {\n        delimSize = fontMetrics.metrics.delim1;\n    } else {\n        delimSize = fontMetrics.metrics.getDelim2(fstyle);\n    }\n\n    var leftDelim;\n    var rightDelim;\n    if (group.value.leftDelim == null) {\n        leftDelim = makeNullDelimiter(options);\n    } else {\n        leftDelim = delimiter.customSizedDelim(\n            group.value.leftDelim, delimSize, true,\n            options.withStyle(fstyle), group.mode);\n    }\n    if (group.value.rightDelim == null) {\n        rightDelim = makeNullDelimiter(options);\n    } else {\n        rightDelim = delimiter.customSizedDelim(\n            group.value.rightDelim, delimSize, true,\n            options.withStyle(fstyle), group.mode);\n    }\n\n    return makeSpan(\n        [\"mord\", options.style.reset(), fstyle.cls()],\n        [leftDelim, makeSpan([\"mfrac\"], [frac]), rightDelim],\n        options.getColor());\n};\n\ngroupTypes.array = function(group, options, prev) {\n    var r;\n    var c;\n    var nr = group.value.body.length;\n    var nc = 0;\n    var body = new Array(nr);\n\n    // Horizontal spacing\n    var pt = 1 / fontMetrics.metrics.ptPerEm;\n    var arraycolsep = 5 * pt; // \\arraycolsep in article.cls\n\n    // Vertical spacing\n    var baselineskip = 12 * pt; // see size10.clo\n    // Default \\arraystretch from lttab.dtx\n    // TODO(gagern): may get redefined once we have user-defined macros\n    var arraystretch = utils.deflt(group.value.arraystretch, 1);\n    var arrayskip = arraystretch * baselineskip;\n    var arstrutHeight = 0.7 * arrayskip; // \\strutbox in ltfsstrc.dtx and\n    var arstrutDepth = 0.3 * arrayskip;  // \\@arstrutbox in lttab.dtx\n\n    var totalHeight = 0;\n    for (r = 0; r < group.value.body.length; ++r) {\n        var inrow = group.value.body[r];\n        var height = arstrutHeight; // \\@array adds an \\@arstrut\n        var depth = arstrutDepth;   // to each tow (via the template)\n\n        if (nc < inrow.length) {\n            nc = inrow.length;\n        }\n\n        var outrow = new Array(inrow.length);\n        for (c = 0; c < inrow.length; ++c) {\n            var elt = buildGroup(inrow[c], options);\n            if (depth < elt.depth) {\n                depth = elt.depth;\n            }\n            if (height < elt.height) {\n                height = elt.height;\n            }\n            outrow[c] = elt;\n        }\n\n        var gap = 0;\n        if (group.value.rowGaps[r]) {\n            gap = group.value.rowGaps[r].value;\n            switch (gap.unit) {\n                case \"em\":\n                    gap = gap.number;\n                    break;\n                case \"ex\":\n                    gap = gap.number * fontMetrics.metrics.emPerEx;\n                    break;\n                default:\n                    console.error(\"Can't handle unit \" + gap.unit);\n                    gap = 0;\n            }\n            if (gap > 0) { // \\@argarraycr\n                gap += arstrutDepth;\n                if (depth < gap) {\n                    depth = gap; // \\@xargarraycr\n                }\n                gap = 0;\n            }\n        }\n\n        outrow.height = height;\n        outrow.depth = depth;\n        totalHeight += height;\n        outrow.pos = totalHeight;\n        totalHeight += depth + gap; // \\@yargarraycr\n        body[r] = outrow;\n    }\n\n    var offset = totalHeight / 2 + fontMetrics.metrics.axisHeight;\n    var colDescriptions = group.value.cols || [];\n    var cols = [];\n    var colSep;\n    var colDescrNum;\n    for (c = 0, colDescrNum = 0;\n         // Continue while either there are more columns or more column\n         // descriptions, so trailing separators don't get lost.\n         c < nc || colDescrNum < colDescriptions.length;\n         ++c, ++colDescrNum) {\n\n        var colDescr = colDescriptions[colDescrNum] || {};\n\n        var firstSeparator = true;\n        while (colDescr.type === \"separator\") {\n            // If there is more than one separator in a row, add a space\n            // between them.\n            if (!firstSeparator) {\n                colSep = makeSpan([\"arraycolsep\"], []);\n                colSep.style.width =\n                    fontMetrics.metrics.doubleRuleSep + \"em\";\n                cols.push(colSep);\n            }\n\n            if (colDescr.separator === \"|\") {\n                var separator = makeSpan(\n                    [\"vertical-separator\"],\n                    []);\n                separator.style.height = totalHeight + \"em\";\n                separator.style.verticalAlign =\n                    -(totalHeight - offset) + \"em\";\n\n                cols.push(separator);\n            } else {\n                throw new ParseError(\n                    \"Invalid separator type: \" + colDescr.separator);\n            }\n\n            colDescrNum++;\n            colDescr = colDescriptions[colDescrNum] || {};\n            firstSeparator = false;\n        }\n\n        if (c >= nc) {\n            continue;\n        }\n\n        var sepwidth;\n        if (c > 0 || group.value.hskipBeforeAndAfter) {\n            sepwidth = utils.deflt(colDescr.pregap, arraycolsep);\n            if (sepwidth !== 0) {\n                colSep = makeSpan([\"arraycolsep\"], []);\n                colSep.style.width = sepwidth + \"em\";\n                cols.push(colSep);\n            }\n        }\n\n        var col = [];\n        for (r = 0; r < nr; ++r) {\n            var row = body[r];\n            var elem = row[c];\n            if (!elem) {\n                continue;\n            }\n            var shift = row.pos - offset;\n            elem.depth = row.depth;\n            elem.height = row.height;\n            col.push({type: \"elem\", elem: elem, shift: shift});\n        }\n\n        col = buildCommon.makeVList(col, \"individualShift\", null, options);\n        col = makeSpan(\n            [\"col-align-\" + (colDescr.align || \"c\")],\n            [col]);\n        cols.push(col);\n\n        if (c < nc - 1 || group.value.hskipBeforeAndAfter) {\n            sepwidth = utils.deflt(colDescr.postgap, arraycolsep);\n            if (sepwidth !== 0) {\n                colSep = makeSpan([\"arraycolsep\"], []);\n                colSep.style.width = sepwidth + \"em\";\n                cols.push(colSep);\n            }\n        }\n    }\n    body = makeSpan([\"mtable\"], cols);\n    return makeSpan([\"mord\"], [body], options.getColor());\n};\n\ngroupTypes.spacing = function(group, options, prev) {\n    if (group.value === \"\\\\ \" || group.value === \"\\\\space\" ||\n        group.value === \" \" || group.value === \"~\") {\n        // Spaces are generated by adding an actual space. Each of these\n        // things has an entry in the symbols table, so these will be turned\n        // into appropriate outputs.\n        return makeSpan(\n            [\"mord\", \"mspace\"],\n            [buildCommon.mathsym(group.value, group.mode)]\n        );\n    } else {\n        // Other kinds of spaces are of arbitrary width. We use CSS to\n        // generate these.\n        return makeSpan(\n            [\"mord\", \"mspace\",\n             buildCommon.spacingFunctions[group.value].className]);\n    }\n};\n\ngroupTypes.llap = function(group, options, prev) {\n    var inner = makeSpan(\n        [\"inner\"], [buildGroup(group.value.body, options.reset())]);\n    var fix = makeSpan([\"fix\"], []);\n    return makeSpan(\n        [\"llap\", options.style.cls()], [inner, fix]);\n};\n\ngroupTypes.rlap = function(group, options, prev) {\n    var inner = makeSpan(\n        [\"inner\"], [buildGroup(group.value.body, options.reset())]);\n    var fix = makeSpan([\"fix\"], []);\n    return makeSpan(\n        [\"rlap\", options.style.cls()], [inner, fix]);\n};\n\ngroupTypes.op = function(group, options, prev) {\n    // Operators are handled in the TeXbook pg. 443-444, rule 13(a).\n    var supGroup;\n    var subGroup;\n    var hasLimits = false;\n    if (group.type === \"supsub\" ) {\n        // If we have limits, supsub will pass us its group to handle. Pull\n        // out the superscript and subscript and set the group to the op in\n        // its base.\n        supGroup = group.value.sup;\n        subGroup = group.value.sub;\n        group = group.value.base;\n        hasLimits = true;\n    }\n\n    // Most operators have a large successor symbol, but these don't.\n    var noSuccessor = [\n        \"\\\\smallint\",\n    ];\n\n    var large = false;\n    if (options.style.size === Style.DISPLAY.size &&\n        group.value.symbol &&\n        !utils.contains(noSuccessor, group.value.body)) {\n\n        // Most symbol operators get larger in displaystyle (rule 13)\n        large = true;\n    }\n\n    var base;\n    var baseShift = 0;\n    var slant = 0;\n    if (group.value.symbol) {\n        // If this is a symbol, create the symbol.\n        var style = large ? \"Size2-Regular\" : \"Size1-Regular\";\n        base = buildCommon.makeSymbol(\n            group.value.body, style, \"math\", options.getColor(),\n            [\"op-symbol\", large ? \"large-op\" : \"small-op\", \"mop\"]);\n\n        // Shift the symbol so its center lies on the axis (rule 13). It\n        // appears that our fonts have the centers of the symbols already\n        // almost on the axis, so these numbers are very small. Note we\n        // don't actually apply this here, but instead it is used either in\n        // the vlist creation or separately when there are no limits.\n        baseShift = (base.height - base.depth) / 2 -\n            fontMetrics.metrics.axisHeight *\n            options.style.sizeMultiplier;\n\n        // The slant of the symbol is just its italic correction.\n        slant = base.italic;\n    } else {\n        // Otherwise, this is a text operator. Build the text from the\n        // operator's name.\n        // TODO(emily): Add a space in the middle of some of these\n        // operators, like \\limsup\n        var output = [];\n        for (var i = 1; i < group.value.body.length; i++) {\n            output.push(buildCommon.mathsym(group.value.body[i], group.mode));\n        }\n        base = makeSpan([\"mop\"], output, options.getColor());\n    }\n\n    if (hasLimits) {\n        // IE 8 clips \\int if it is in a display: inline-block. We wrap it\n        // in a new span so it is an inline, and works.\n        base = makeSpan([], [base]);\n\n        var supmid;\n        var supKern;\n        var submid;\n        var subKern;\n        // We manually have to handle the superscripts and subscripts. This,\n        // aside from the kern calculations, is copied from supsub.\n        if (supGroup) {\n            var sup = buildGroup(\n                supGroup, options.withStyle(options.style.sup()));\n            supmid = makeSpan(\n                [options.style.reset(), options.style.sup().cls()], [sup]);\n\n            supKern = Math.max(\n                fontMetrics.metrics.bigOpSpacing1,\n                fontMetrics.metrics.bigOpSpacing3 - sup.depth);\n        }\n\n        if (subGroup) {\n            var sub = buildGroup(\n                subGroup, options.withStyle(options.style.sub()));\n            submid = makeSpan(\n                [options.style.reset(), options.style.sub().cls()],\n                [sub]);\n\n            subKern = Math.max(\n                fontMetrics.metrics.bigOpSpacing2,\n                fontMetrics.metrics.bigOpSpacing4 - sub.height);\n        }\n\n        // Build the final group as a vlist of the possible subscript, base,\n        // and possible superscript.\n        var finalGroup;\n        var top;\n        var bottom;\n        if (!supGroup) {\n            top = base.height - baseShift;\n\n            finalGroup = buildCommon.makeVList([\n                {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n                {type: \"elem\", elem: submid},\n                {type: \"kern\", size: subKern},\n                {type: \"elem\", elem: base},\n            ], \"top\", top, options);\n\n            // Here, we shift the limits by the slant of the symbol. Note\n            // that we are supposed to shift the limits by 1/2 of the slant,\n            // but since we are centering the limits adding a full slant of\n            // margin will shift by 1/2 that.\n            finalGroup.children[0].style.marginLeft = -slant + \"em\";\n        } else if (!subGroup) {\n            bottom = base.depth + baseShift;\n\n            finalGroup = buildCommon.makeVList([\n                {type: \"elem\", elem: base},\n                {type: \"kern\", size: supKern},\n                {type: \"elem\", elem: supmid},\n                {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n            ], \"bottom\", bottom, options);\n\n            // See comment above about slants\n            finalGroup.children[1].style.marginLeft = slant + \"em\";\n        } else if (!supGroup && !subGroup) {\n            // This case probably shouldn't occur (this would mean the\n            // supsub was sending us a group with no superscript or\n            // subscript) but be safe.\n            return base;\n        } else {\n            bottom = fontMetrics.metrics.bigOpSpacing5 +\n                submid.height + submid.depth +\n                subKern +\n                base.depth + baseShift;\n\n            finalGroup = buildCommon.makeVList([\n                {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n                {type: \"elem\", elem: submid},\n                {type: \"kern\", size: subKern},\n                {type: \"elem\", elem: base},\n                {type: \"kern\", size: supKern},\n                {type: \"elem\", elem: supmid},\n                {type: \"kern\", size: fontMetrics.metrics.bigOpSpacing5},\n            ], \"bottom\", bottom, options);\n\n            // See comment above about slants\n            finalGroup.children[0].style.marginLeft = -slant + \"em\";\n            finalGroup.children[2].style.marginLeft = slant + \"em\";\n        }\n\n        return makeSpan([\"mop\", \"op-limits\"], [finalGroup]);\n    } else {\n        if (group.value.symbol) {\n            base.style.top = baseShift + \"em\";\n        }\n\n        return base;\n    }\n};\n\ngroupTypes.katex = function(group, options, prev) {\n    // The KaTeX logo. The offsets for the K and a were chosen to look\n    // good, but the offsets for the T, E, and X were taken from the\n    // definition of \\TeX in TeX (see TeXbook pg. 356)\n    var k = makeSpan(\n        [\"k\"], [buildCommon.mathsym(\"K\", group.mode)]);\n    var a = makeSpan(\n        [\"a\"], [buildCommon.mathsym(\"A\", group.mode)]);\n\n    a.height = (a.height + 0.2) * 0.75;\n    a.depth = (a.height - 0.2) * 0.75;\n\n    var t = makeSpan(\n        [\"t\"], [buildCommon.mathsym(\"T\", group.mode)]);\n    var e = makeSpan(\n        [\"e\"], [buildCommon.mathsym(\"E\", group.mode)]);\n\n    e.height = (e.height - 0.2155);\n    e.depth = (e.depth + 0.2155);\n\n    var x = makeSpan(\n        [\"x\"], [buildCommon.mathsym(\"X\", group.mode)]);\n\n    return makeSpan(\n        [\"katex-logo\", \"mord\"], [k, a, t, e, x], options.getColor());\n};\n\ngroupTypes.overline = function(group, options, prev) {\n    // Overlines are handled in the TeXbook pg 443, Rule 9.\n\n    // Build the inner group in the cramped style.\n    var innerGroup = buildGroup(group.value.body,\n            options.withStyle(options.style.cramp()));\n\n    var ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n        options.style.sizeMultiplier;\n\n    // Create the line above the body\n    var line = makeSpan(\n        [options.style.reset(), Style.TEXT.cls(), \"overline-line\"]);\n    line.height = ruleWidth;\n    line.maxFontSize = 1.0;\n\n    // Generate the vlist, with the appropriate kerns\n    var vlist = buildCommon.makeVList([\n        {type: \"elem\", elem: innerGroup},\n        {type: \"kern\", size: 3 * ruleWidth},\n        {type: \"elem\", elem: line},\n        {type: \"kern\", size: ruleWidth},\n    ], \"firstBaseline\", null, options);\n\n    return makeSpan([\"overline\", \"mord\"], [vlist], options.getColor());\n};\n\ngroupTypes.underline = function(group, options, prev) {\n    // Underlines are handled in the TeXbook pg 443, Rule 10.\n\n    // Build the inner group.\n    var innerGroup = buildGroup(group.value.body, options);\n\n    var ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n        options.style.sizeMultiplier;\n\n    // Create the line above the body\n    var line = makeSpan(\n        [options.style.reset(), Style.TEXT.cls(), \"underline-line\"]);\n    line.height = ruleWidth;\n    line.maxFontSize = 1.0;\n\n    // Generate the vlist, with the appropriate kerns\n    var vlist = buildCommon.makeVList([\n        {type: \"kern\", size: ruleWidth},\n        {type: \"elem\", elem: line},\n        {type: \"kern\", size: 3 * ruleWidth},\n        {type: \"elem\", elem: innerGroup},\n    ], \"top\", innerGroup.height, options);\n\n    return makeSpan([\"underline\", \"mord\"], [vlist], options.getColor());\n};\n\ngroupTypes.sqrt = function(group, options, prev) {\n    // Square roots are handled in the TeXbook pg. 443, Rule 11.\n\n    // First, we do the same steps as in overline to build the inner group\n    // and line\n    var inner = buildGroup(group.value.body,\n            options.withStyle(options.style.cramp()));\n\n    var ruleWidth = fontMetrics.metrics.defaultRuleThickness /\n        options.style.sizeMultiplier;\n\n    var line = makeSpan(\n        [options.style.reset(), Style.TEXT.cls(), \"sqrt-line\"], [],\n        options.getColor());\n    line.height = ruleWidth;\n    line.maxFontSize = 1.0;\n\n    var phi = ruleWidth;\n    if (options.style.id < Style.TEXT.id) {\n        phi = fontMetrics.metrics.xHeight;\n    }\n\n    // Calculate the clearance between the body and line\n    var lineClearance = ruleWidth + phi / 4;\n\n    var innerHeight =\n        (inner.height + inner.depth) * options.style.sizeMultiplier;\n    var minDelimiterHeight = innerHeight + lineClearance + ruleWidth;\n\n    // Create a \\surd delimiter of the required minimum size\n    var delim = makeSpan([\"sqrt-sign\"], [\n        delimiter.customSizedDelim(\"\\\\surd\", minDelimiterHeight,\n                                   false, options, group.mode)],\n                         options.getColor());\n\n    var delimDepth = (delim.height + delim.depth) - ruleWidth;\n\n    // Adjust the clearance based on the delimiter size\n    if (delimDepth > inner.height + inner.depth + lineClearance) {\n        lineClearance =\n            (lineClearance + delimDepth - inner.height - inner.depth) / 2;\n    }\n\n    // Shift the delimiter so that its top lines up with the top of the line\n    var delimShift = -(inner.height + lineClearance + ruleWidth) + delim.height;\n    delim.style.top = delimShift + \"em\";\n    delim.height -= delimShift;\n    delim.depth += delimShift;\n\n    // We add a special case here, because even when `inner` is empty, we\n    // still get a line. So, we use a simple heuristic to decide if we\n    // should omit the body entirely. (note this doesn't work for something\n    // like `\\sqrt{\\rlap{x}}`, but if someone is doing that they deserve for\n    // it not to work.\n    var body;\n    if (inner.height === 0 && inner.depth === 0) {\n        body = makeSpan();\n    } else {\n        body = buildCommon.makeVList([\n            {type: \"elem\", elem: inner},\n            {type: \"kern\", size: lineClearance},\n            {type: \"elem\", elem: line},\n            {type: \"kern\", size: ruleWidth},\n        ], \"firstBaseline\", null, options);\n    }\n\n    if (!group.value.index) {\n        return makeSpan([\"sqrt\", \"mord\"], [delim, body]);\n    } else {\n        // Handle the optional root index\n\n        // The index is always in scriptscript style\n        var root = buildGroup(\n            group.value.index,\n            options.withStyle(Style.SCRIPTSCRIPT));\n        var rootWrap = makeSpan(\n            [options.style.reset(), Style.SCRIPTSCRIPT.cls()],\n            [root]);\n\n        // Figure out the height and depth of the inner part\n        var innerRootHeight = Math.max(delim.height, body.height);\n        var innerRootDepth = Math.max(delim.depth, body.depth);\n\n        // The amount the index is shifted by. This is taken from the TeX\n        // source, in the definition of `\\r@@t`.\n        var toShift = 0.6 * (innerRootHeight - innerRootDepth);\n\n        // Build a VList with the superscript shifted up correctly\n        var rootVList = buildCommon.makeVList(\n            [{type: \"elem\", elem: rootWrap}],\n            \"shift\", -toShift, options);\n        // Add a class surrounding it so we can add on the appropriate\n        // kerning\n        var rootVListWrap = makeSpan([\"root\"], [rootVList]);\n\n        return makeSpan([\"sqrt\", \"mord\"], [rootVListWrap, delim, body]);\n    }\n};\n\ngroupTypes.sizing = function(group, options, prev) {\n    // Handle sizing operators like \\Huge. Real TeX doesn't actually allow\n    // these functions inside of math expressions, so we do some special\n    // handling.\n    var inner = buildExpression(group.value.value,\n            options.withSize(group.value.size), prev);\n\n    var span = makeSpan([\"mord\"],\n        [makeSpan([\"sizing\", \"reset-\" + options.size, group.value.size,\n                   options.style.cls()],\n                  inner)]);\n\n    // Calculate the correct maxFontSize manually\n    var fontSize = buildCommon.sizingMultiplier[group.value.size];\n    span.maxFontSize = fontSize * options.style.sizeMultiplier;\n\n    return span;\n};\n\ngroupTypes.styling = function(group, options, prev) {\n    // Style changes are handled in the TeXbook on pg. 442, Rule 3.\n\n    // Figure out what style we're changing to.\n    var style = {\n        \"display\": Style.DISPLAY,\n        \"text\": Style.TEXT,\n        \"script\": Style.SCRIPT,\n        \"scriptscript\": Style.SCRIPTSCRIPT,\n    };\n\n    var newStyle = style[group.value.style];\n\n    // Build the inner expression in the new style.\n    var inner = buildExpression(\n        group.value.value, options.withStyle(newStyle), prev);\n\n    return makeSpan([options.style.reset(), newStyle.cls()], inner);\n};\n\ngroupTypes.font = function(group, options, prev) {\n    var font = group.value.font;\n    return buildGroup(group.value.body, options.withFont(font), prev);\n};\n\ngroupTypes.delimsizing = function(group, options, prev) {\n    var delim = group.value.value;\n\n    if (delim === \".\") {\n        // Empty delimiters still count as elements, even though they don't\n        // show anything.\n        return makeSpan([groupToType[group.value.delimType]]);\n    }\n\n    // Use delimiter.sizedDelim to generate the delimiter.\n    return makeSpan(\n        [groupToType[group.value.delimType]],\n        [delimiter.sizedDelim(\n            delim, group.value.size, options, group.mode)]);\n};\n\ngroupTypes.leftright = function(group, options, prev) {\n    // Build the inner expression\n    var inner = buildExpression(group.value.body, options.reset());\n\n    var innerHeight = 0;\n    var innerDepth = 0;\n\n    // Calculate its height and depth\n    for (var i = 0; i < inner.length; i++) {\n        innerHeight = Math.max(inner[i].height, innerHeight);\n        innerDepth = Math.max(inner[i].depth, innerDepth);\n    }\n\n    // The size of delimiters is the same, regardless of what style we are\n    // in. Thus, to correctly calculate the size of delimiter we need around\n    // a group, we scale down the inner size based on the size.\n    innerHeight *= options.style.sizeMultiplier;\n    innerDepth *= options.style.sizeMultiplier;\n\n    var leftDelim;\n    if (group.value.left === \".\") {\n        // Empty delimiters in \\left and \\right make null delimiter spaces.\n        leftDelim = makeNullDelimiter(options);\n    } else {\n        // Otherwise, use leftRightDelim to generate the correct sized\n        // delimiter.\n        leftDelim = delimiter.leftRightDelim(\n            group.value.left, innerHeight, innerDepth, options,\n            group.mode);\n    }\n    // Add it to the beginning of the expression\n    inner.unshift(leftDelim);\n\n    var rightDelim;\n    // Same for the right delimiter\n    if (group.value.right === \".\") {\n        rightDelim = makeNullDelimiter(options);\n    } else {\n        rightDelim = delimiter.leftRightDelim(\n            group.value.right, innerHeight, innerDepth, options,\n            group.mode);\n    }\n    // Add it to the end of the expression.\n    inner.push(rightDelim);\n\n    return makeSpan(\n        [\"minner\", options.style.cls()], inner, options.getColor());\n};\n\ngroupTypes.rule = function(group, options, prev) {\n    // Make an empty span for the rule\n    var rule = makeSpan([\"mord\", \"rule\"], [], options.getColor());\n\n    // Calculate the shift, width, and height of the rule, and account for units\n    var shift = 0;\n    if (group.value.shift) {\n        shift = group.value.shift.number;\n        if (group.value.shift.unit === \"ex\") {\n            shift *= fontMetrics.metrics.xHeight;\n        }\n    }\n\n    var width = group.value.width.number;\n    if (group.value.width.unit === \"ex\") {\n        width *= fontMetrics.metrics.xHeight;\n    }\n\n    var height = group.value.height.number;\n    if (group.value.height.unit === \"ex\") {\n        height *= fontMetrics.metrics.xHeight;\n    }\n\n    // The sizes of rules are absolute, so make it larger if we are in a\n    // smaller style.\n    shift /= options.style.sizeMultiplier;\n    width /= options.style.sizeMultiplier;\n    height /= options.style.sizeMultiplier;\n\n    // Style the rule to the right size\n    rule.style.borderRightWidth = width + \"em\";\n    rule.style.borderTopWidth = height + \"em\";\n    rule.style.bottom = shift + \"em\";\n\n    // Record the height and width\n    rule.width = width;\n    rule.height = height + shift;\n    rule.depth = -shift;\n\n    return rule;\n};\n\ngroupTypes.accent = function(group, options, prev) {\n    // Accents are handled in the TeXbook pg. 443, rule 12.\n    var base = group.value.base;\n\n    var supsubGroup;\n    if (group.type === \"supsub\") {\n        // If our base is a character box, and we have superscripts and\n        // subscripts, the supsub will defer to us. In particular, we want\n        // to attach the superscripts and subscripts to the inner body (so\n        // that the position of the superscripts and subscripts won't be\n        // affected by the height of the accent). We accomplish this by\n        // sticking the base of the accent into the base of the supsub, and\n        // rendering that, while keeping track of where the accent is.\n\n        // The supsub group is the group that was passed in\n        var supsub = group;\n        // The real accent group is the base of the supsub group\n        group = supsub.value.base;\n        // The character box is the base of the accent group\n        base = group.value.base;\n        // Stick the character box into the base of the supsub group\n        supsub.value.base = base;\n\n        // Rerender the supsub group with its new base, and store that\n        // result.\n        supsubGroup = buildGroup(\n            supsub, options.reset(), prev);\n    }\n\n    // Build the base group\n    var body = buildGroup(\n        base, options.withStyle(options.style.cramp()));\n\n    // Calculate the skew of the accent. This is based on the line \"If the\n    // nucleus is not a single character, let s = 0; otherwise set s to the\n    // kern amount for the nucleus followed by the \\skewchar of its font.\"\n    // Note that our skew metrics are just the kern between each character\n    // and the skewchar.\n    var skew;\n    if (isCharacterBox(base)) {\n        // If the base is a character box, then we want the skew of the\n        // innermost character. To do that, we find the innermost character:\n        var baseChar = getBaseElem(base);\n        // Then, we render its group to get the symbol inside it\n        var baseGroup = buildGroup(\n            baseChar, options.withStyle(options.style.cramp()));\n        // Finally, we pull the skew off of the symbol.\n        skew = baseGroup.skew;\n        // Note that we now throw away baseGroup, because the layers we\n        // removed with getBaseElem might contain things like \\color which\n        // we can't get rid of.\n        // TODO(emily): Find a better way to get the skew\n    } else {\n        skew = 0;\n    }\n\n    // calculate the amount of space between the body and the accent\n    var clearance = Math.min(body.height, fontMetrics.metrics.xHeight);\n\n    // Build the accent\n    var accent = buildCommon.makeSymbol(\n        group.value.accent, \"Main-Regular\", \"math\", options.getColor());\n    // Remove the italic correction of the accent, because it only serves to\n    // shift the accent over to a place we don't want.\n    accent.italic = 0;\n\n    // The \\vec character that the fonts use is a combining character, and\n    // thus shows up much too far to the left. To account for this, we add a\n    // specific class which shifts the accent over to where we want it.\n    // TODO(emily): Fix this in a better way, like by changing the font\n    var vecClass = group.value.accent === \"\\\\vec\" ? \"accent-vec\" : null;\n\n    var accentBody = makeSpan([\"accent-body\", vecClass], [\n        makeSpan([], [accent])]);\n\n    accentBody = buildCommon.makeVList([\n        {type: \"elem\", elem: body},\n        {type: \"kern\", size: -clearance},\n        {type: \"elem\", elem: accentBody},\n    ], \"firstBaseline\", null, options);\n\n    // Shift the accent over by the skew. Note we shift by twice the skew\n    // because we are centering the accent, so by adding 2*skew to the left,\n    // we shift it to the right by 1*skew.\n    accentBody.children[1].style.marginLeft = 2 * skew + \"em\";\n\n    var accentWrap = makeSpan([\"mord\", \"accent\"], [accentBody]);\n\n    if (supsubGroup) {\n        // Here, we replace the \"base\" child of the supsub with our newly\n        // generated accent.\n        supsubGroup.children[0] = accentWrap;\n\n        // Since we don't rerun the height calculation after replacing the\n        // accent, we manually recalculate height.\n        supsubGroup.height = Math.max(accentWrap.height, supsubGroup.height);\n\n        // Accents should always be ords, even when their innards are not.\n        supsubGroup.classes[0] = \"mord\";\n\n        return supsubGroup;\n    } else {\n        return accentWrap;\n    }\n};\n\ngroupTypes.phantom = function(group, options, prev) {\n    var elements = buildExpression(\n        group.value.value,\n        options.withPhantom(),\n        prev\n    );\n\n    // \\phantom isn't supposed to affect the elements it contains.\n    // See \"color\" for more details.\n    return new buildCommon.makeFragment(elements);\n};\n\n/**\n * buildGroup is the function that takes a group and calls the correct groupType\n * function for it. It also handles the interaction of size and style changes\n * between parents and children.\n */\nvar buildGroup = function(group, options, prev) {\n    if (!group) {\n        return makeSpan();\n    }\n\n    if (groupTypes[group.type]) {\n        // Call the groupTypes function\n        var groupNode = groupTypes[group.type](group, options, prev);\n        var multiplier;\n\n        // If the style changed between the parent and the current group,\n        // account for the size difference\n        if (options.style !== options.parentStyle) {\n            multiplier = options.style.sizeMultiplier /\n                    options.parentStyle.sizeMultiplier;\n\n            groupNode.height *= multiplier;\n            groupNode.depth *= multiplier;\n        }\n\n        // If the size changed between the parent and the current group, account\n        // for that size difference.\n        if (options.size !== options.parentSize) {\n            multiplier = buildCommon.sizingMultiplier[options.size] /\n                    buildCommon.sizingMultiplier[options.parentSize];\n\n            groupNode.height *= multiplier;\n            groupNode.depth *= multiplier;\n        }\n\n        return groupNode;\n    } else {\n        throw new ParseError(\n            \"Got group of unknown type: '\" + group.type + \"'\");\n    }\n};\n\n/**\n * Take an entire parse tree, and build it into an appropriate set of HTML\n * nodes.\n */\nvar buildHTML = function(tree, options) {\n    // buildExpression is destructive, so we need to make a clone\n    // of the incoming tree so that it isn't accidentally changed\n    tree = JSON.parse(JSON.stringify(tree));\n\n    // Build the expression contained in the tree\n    var expression = buildExpression(tree, options);\n    var body = makeSpan([\"base\", options.style.cls()], expression);\n\n    // Add struts, which ensure that the top of the HTML element falls at the\n    // height of the expression, and the bottom of the HTML element falls at the\n    // depth of the expression.\n    var topStrut = makeSpan([\"strut\"]);\n    var bottomStrut = makeSpan([\"strut\", \"bottom\"]);\n\n    topStrut.style.height = body.height + \"em\";\n    bottomStrut.style.height = (body.height + body.depth) + \"em\";\n    // We'd like to use `vertical-align: top` but in IE 9 this lowers the\n    // baseline of the box to the bottom of this strut (instead staying in the\n    // normal place) so we use an absolute value for vertical-align instead\n    bottomStrut.style.verticalAlign = -body.depth + \"em\";\n\n    // Wrap the struts and body together\n    var htmlNode = makeSpan([\"katex-html\"], [topStrut, bottomStrut, body]);\n\n    htmlNode.setAttribute(\"aria-hidden\", \"true\");\n\n    return htmlNode;\n};\n\nmodule.exports = buildHTML;\n","/**\n * This file converts a parse tree into a cooresponding MathML tree. The main\n * entry point is the `buildMathML` function, which takes a parse tree from the\n * parser.\n */\n\nvar buildCommon = require(\"./buildCommon\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar mathMLTree = require(\"./mathMLTree\");\nvar ParseError = require(\"./ParseError\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar makeSpan = buildCommon.makeSpan;\nvar fontMap = buildCommon.fontMap;\n\n/**\n * Takes a symbol and converts it into a MathML text node after performing\n * optional replacement from symbols.js.\n */\nvar makeText = function(text, mode) {\n    if (symbols[mode][text] && symbols[mode][text].replace) {\n        text = symbols[mode][text].replace;\n    }\n\n    return new mathMLTree.TextNode(text);\n};\n\n/**\n * Returns the math variant as a string or null if none is required.\n */\nvar getVariant = function(group, options) {\n    var font = options.font;\n    if (!font) {\n        return null;\n    }\n\n    var mode = group.mode;\n    if (font === \"mathit\") {\n        return \"italic\";\n    }\n\n    var value = group.value;\n    if (utils.contains([\"\\\\imath\", \"\\\\jmath\"], value)) {\n        return null;\n    }\n\n    if (symbols[mode][value] && symbols[mode][value].replace) {\n        value = symbols[mode][value].replace;\n    }\n\n    var fontName = fontMap[font].fontName;\n    if (fontMetrics.getCharacterMetrics(value, fontName)) {\n        return fontMap[options.font].variant;\n    }\n\n    return null;\n};\n\n/**\n * Functions for handling the different types of groups found in the parse\n * tree. Each function should take a parse group and return a MathML node.\n */\nvar groupTypes = {};\n\ngroupTypes.mathord = function(group, options) {\n    var node = new mathMLTree.MathNode(\n        \"mi\",\n        [makeText(group.value, group.mode)]);\n\n    var variant = getVariant(group, options);\n    if (variant) {\n        node.setAttribute(\"mathvariant\", variant);\n    }\n    return node;\n};\n\ngroupTypes.textord = function(group, options) {\n    var text = makeText(group.value, group.mode);\n\n    var variant = getVariant(group, options) || \"normal\";\n\n    var node;\n    if (/[0-9]/.test(group.value)) {\n        // TODO(kevinb) merge adjacent <mn> nodes\n        // do it as a post processing step\n        node = new mathMLTree.MathNode(\"mn\", [text]);\n        if (options.font) {\n            node.setAttribute(\"mathvariant\", variant);\n        }\n    } else {\n        node = new mathMLTree.MathNode(\"mi\", [text]);\n        node.setAttribute(\"mathvariant\", variant);\n    }\n\n    return node;\n};\n\ngroupTypes.bin = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value, group.mode)]);\n\n    return node;\n};\n\ngroupTypes.rel = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value, group.mode)]);\n\n    return node;\n};\n\ngroupTypes.open = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value, group.mode)]);\n\n    return node;\n};\n\ngroupTypes.close = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value, group.mode)]);\n\n    return node;\n};\n\ngroupTypes.inner = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value, group.mode)]);\n\n    return node;\n};\n\ngroupTypes.punct = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value, group.mode)]);\n\n    node.setAttribute(\"separator\", \"true\");\n\n    return node;\n};\n\ngroupTypes.ordgroup = function(group, options) {\n    var inner = buildExpression(group.value, options);\n\n    var node = new mathMLTree.MathNode(\"mrow\", inner);\n\n    return node;\n};\n\ngroupTypes.text = function(group, options) {\n    var inner = buildExpression(group.value.body, options);\n\n    var node = new mathMLTree.MathNode(\"mtext\", inner);\n\n    return node;\n};\n\ngroupTypes.color = function(group, options) {\n    var inner = buildExpression(group.value.value, options);\n\n    var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n    node.setAttribute(\"mathcolor\", group.value.color);\n\n    return node;\n};\n\ngroupTypes.supsub = function(group, options) {\n    var children = [buildGroup(group.value.base, options)];\n\n    if (group.value.sub) {\n        children.push(buildGroup(group.value.sub, options));\n    }\n\n    if (group.value.sup) {\n        children.push(buildGroup(group.value.sup, options));\n    }\n\n    var nodeType;\n    if (!group.value.sub) {\n        nodeType = \"msup\";\n    } else if (!group.value.sup) {\n        nodeType = \"msub\";\n    } else {\n        nodeType = \"msubsup\";\n    }\n\n    var node = new mathMLTree.MathNode(nodeType, children);\n\n    return node;\n};\n\ngroupTypes.genfrac = function(group, options) {\n    var node = new mathMLTree.MathNode(\n        \"mfrac\",\n        [buildGroup(group.value.numer, options),\n         buildGroup(group.value.denom, options)]);\n\n    if (!group.value.hasBarLine) {\n        node.setAttribute(\"linethickness\", \"0px\");\n    }\n\n    if (group.value.leftDelim != null || group.value.rightDelim != null) {\n        var withDelims = [];\n\n        if (group.value.leftDelim != null) {\n            var leftOp = new mathMLTree.MathNode(\n                \"mo\", [new mathMLTree.TextNode(group.value.leftDelim)]);\n\n            leftOp.setAttribute(\"fence\", \"true\");\n\n            withDelims.push(leftOp);\n        }\n\n        withDelims.push(node);\n\n        if (group.value.rightDelim != null) {\n            var rightOp = new mathMLTree.MathNode(\n                \"mo\", [new mathMLTree.TextNode(group.value.rightDelim)]);\n\n            rightOp.setAttribute(\"fence\", \"true\");\n\n            withDelims.push(rightOp);\n        }\n\n        var outerNode = new mathMLTree.MathNode(\"mrow\", withDelims);\n\n        return outerNode;\n    }\n\n    return node;\n};\n\ngroupTypes.array = function(group, options) {\n    return new mathMLTree.MathNode(\n        \"mtable\", group.value.body.map(function(row) {\n            return new mathMLTree.MathNode(\n                \"mtr\", row.map(function(cell) {\n                    return new mathMLTree.MathNode(\n                        \"mtd\", [buildGroup(cell, options)]);\n                }));\n        }));\n};\n\ngroupTypes.sqrt = function(group, options) {\n    var node;\n    if (group.value.index) {\n        node = new mathMLTree.MathNode(\n            \"mroot\", [\n                buildGroup(group.value.body, options),\n                buildGroup(group.value.index, options),\n            ]);\n    } else {\n        node = new mathMLTree.MathNode(\n            \"msqrt\", [buildGroup(group.value.body, options)]);\n    }\n\n    return node;\n};\n\ngroupTypes.leftright = function(group, options) {\n    var inner = buildExpression(group.value.body, options);\n\n    if (group.value.left !== \".\") {\n        var leftNode = new mathMLTree.MathNode(\n            \"mo\", [makeText(group.value.left, group.mode)]);\n\n        leftNode.setAttribute(\"fence\", \"true\");\n\n        inner.unshift(leftNode);\n    }\n\n    if (group.value.right !== \".\") {\n        var rightNode = new mathMLTree.MathNode(\n            \"mo\", [makeText(group.value.right, group.mode)]);\n\n        rightNode.setAttribute(\"fence\", \"true\");\n\n        inner.push(rightNode);\n    }\n\n    var outerNode = new mathMLTree.MathNode(\"mrow\", inner);\n\n    return outerNode;\n};\n\ngroupTypes.accent = function(group, options) {\n    var accentNode = new mathMLTree.MathNode(\n        \"mo\", [makeText(group.value.accent, group.mode)]);\n\n    var node = new mathMLTree.MathNode(\n        \"mover\",\n        [buildGroup(group.value.base, options),\n         accentNode]);\n\n    node.setAttribute(\"accent\", \"true\");\n\n    return node;\n};\n\ngroupTypes.spacing = function(group) {\n    var node;\n\n    if (group.value === \"\\\\ \" || group.value === \"\\\\space\" ||\n        group.value === \" \" || group.value === \"~\") {\n        node = new mathMLTree.MathNode(\n            \"mtext\", [new mathMLTree.TextNode(\"\\u00a0\")]);\n    } else {\n        node = new mathMLTree.MathNode(\"mspace\");\n\n        node.setAttribute(\n            \"width\", buildCommon.spacingFunctions[group.value].size);\n    }\n\n    return node;\n};\n\ngroupTypes.op = function(group) {\n    var node;\n\n    // TODO(emily): handle big operators using the `largeop` attribute\n\n    if (group.value.symbol) {\n        // This is a symbol. Just add the symbol.\n        node = new mathMLTree.MathNode(\n            \"mo\", [makeText(group.value.body, group.mode)]);\n    } else {\n        // This is a text operator. Add all of the characters from the\n        // operator's name.\n        // TODO(emily): Add a space in the middle of some of these\n        // operators, like \\limsup.\n        node = new mathMLTree.MathNode(\n            \"mi\", [new mathMLTree.TextNode(group.value.body.slice(1))]);\n    }\n\n    return node;\n};\n\ngroupTypes.katex = function(group) {\n    var node = new mathMLTree.MathNode(\n        \"mtext\", [new mathMLTree.TextNode(\"KaTeX\")]);\n\n    return node;\n};\n\ngroupTypes.font = function(group, options) {\n    var font = group.value.font;\n    return buildGroup(group.value.body, options.withFont(font));\n};\n\ngroupTypes.delimsizing = function(group) {\n    var children = [];\n\n    if (group.value.value !== \".\") {\n        children.push(makeText(group.value.value, group.mode));\n    }\n\n    var node = new mathMLTree.MathNode(\"mo\", children);\n\n    if (group.value.delimType === \"open\" ||\n        group.value.delimType === \"close\") {\n        // Only some of the delimsizing functions act as fences, and they\n        // return \"open\" or \"close\" delimTypes.\n        node.setAttribute(\"fence\", \"true\");\n    } else {\n        // Explicitly disable fencing if it's not a fence, to override the\n        // defaults.\n        node.setAttribute(\"fence\", \"false\");\n    }\n\n    return node;\n};\n\ngroupTypes.styling = function(group, options) {\n    var inner = buildExpression(group.value.value, options);\n\n    var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n    var styleAttributes = {\n        \"display\": [\"0\", \"true\"],\n        \"text\": [\"0\", \"false\"],\n        \"script\": [\"1\", \"false\"],\n        \"scriptscript\": [\"2\", \"false\"],\n    };\n\n    var attr = styleAttributes[group.value.style];\n\n    node.setAttribute(\"scriptlevel\", attr[0]);\n    node.setAttribute(\"displaystyle\", attr[1]);\n\n    return node;\n};\n\ngroupTypes.sizing = function(group, options) {\n    var inner = buildExpression(group.value.value, options);\n\n    var node = new mathMLTree.MathNode(\"mstyle\", inner);\n\n    // TODO(emily): This doesn't produce the correct size for nested size\n    // changes, because we don't keep state of what style we're currently\n    // in, so we can't reset the size to normal before changing it.  Now\n    // that we're passing an options parameter we should be able to fix\n    // this.\n    node.setAttribute(\n        \"mathsize\", buildCommon.sizingMultiplier[group.value.size] + \"em\");\n\n    return node;\n};\n\ngroupTypes.overline = function(group, options) {\n    var operator = new mathMLTree.MathNode(\n        \"mo\", [new mathMLTree.TextNode(\"\\u203e\")]);\n    operator.setAttribute(\"stretchy\", \"true\");\n\n    var node = new mathMLTree.MathNode(\n        \"mover\",\n        [buildGroup(group.value.body, options),\n         operator]);\n    node.setAttribute(\"accent\", \"true\");\n\n    return node;\n};\n\ngroupTypes.underline = function(group, options) {\n    var operator = new mathMLTree.MathNode(\n        \"mo\", [new mathMLTree.TextNode(\"\\u203e\")]);\n    operator.setAttribute(\"stretchy\", \"true\");\n\n    var node = new mathMLTree.MathNode(\n        \"munder\",\n        [buildGroup(group.value.body, options),\n         operator]);\n    node.setAttribute(\"accentunder\", \"true\");\n\n    return node;\n};\n\ngroupTypes.rule = function(group) {\n    // TODO(emily): Figure out if there's an actual way to draw black boxes\n    // in MathML.\n    var node = new mathMLTree.MathNode(\"mrow\");\n\n    return node;\n};\n\ngroupTypes.llap = function(group, options) {\n    var node = new mathMLTree.MathNode(\n        \"mpadded\", [buildGroup(group.value.body, options)]);\n\n    node.setAttribute(\"lspace\", \"-1width\");\n    node.setAttribute(\"width\", \"0px\");\n\n    return node;\n};\n\ngroupTypes.rlap = function(group, options) {\n    var node = new mathMLTree.MathNode(\n        \"mpadded\", [buildGroup(group.value.body, options)]);\n\n    node.setAttribute(\"width\", \"0px\");\n\n    return node;\n};\n\ngroupTypes.phantom = function(group, options, prev) {\n    var inner = buildExpression(group.value.value, options);\n    return new mathMLTree.MathNode(\"mphantom\", inner);\n};\n\n/**\n * Takes a list of nodes, builds them, and returns a list of the generated\n * MathML nodes. A little simpler than the HTML version because we don't do any\n * previous-node handling.\n */\nvar buildExpression = function(expression, options) {\n    var groups = [];\n    for (var i = 0; i < expression.length; i++) {\n        var group = expression[i];\n        groups.push(buildGroup(group, options));\n    }\n    return groups;\n};\n\n/**\n * Takes a group from the parser and calls the appropriate groupTypes function\n * on it to produce a MathML node.\n */\nvar buildGroup = function(group, options) {\n    if (!group) {\n        return new mathMLTree.MathNode(\"mrow\");\n    }\n\n    if (groupTypes[group.type]) {\n        // Call the groupTypes function\n        return groupTypes[group.type](group, options);\n    } else {\n        throw new ParseError(\n            \"Got group of unknown type: '\" + group.type + \"'\");\n    }\n};\n\n/**\n * Takes a full parse tree and settings and builds a MathML representation of\n * it. In particular, we put the elements from building the parse tree into a\n * <semantics> tag so we can also include that TeX source as an annotation.\n *\n * Note that we actually return a domTree element with a `<math>` inside it so\n * we can do appropriate styling.\n */\nvar buildMathML = function(tree, texExpression, options) {\n    var expression = buildExpression(tree, options);\n\n    // Wrap up the expression in an mrow so it is presented in the semantics\n    // tag correctly.\n    var wrapper = new mathMLTree.MathNode(\"mrow\", expression);\n\n    // Build a TeX annotation of the source\n    var annotation = new mathMLTree.MathNode(\n        \"annotation\", [new mathMLTree.TextNode(texExpression)]);\n\n    annotation.setAttribute(\"encoding\", \"application/x-tex\");\n\n    var semantics = new mathMLTree.MathNode(\n        \"semantics\", [wrapper, annotation]);\n\n    var math = new mathMLTree.MathNode(\"math\", [semantics]);\n\n    // You can't style <math> nodes, so we wrap the node in a span.\n    return makeSpan([\"katex-mathml\"], [math]);\n};\n\nmodule.exports = buildMathML;\n","/**\n * This file deals with creating delimiters of various sizes. The TeXbook\n * discusses these routines on page 441-442, in the \"Another subroutine sets box\n * x to a specified variable delimiter\" paragraph.\n *\n * There are three main routines here. `makeSmallDelim` makes a delimiter in the\n * normal font, but in either text, script, or scriptscript style.\n * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1,\n * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of\n * smaller pieces that are stacked on top of one another.\n *\n * The functions take a parameter `center`, which determines if the delimiter\n * should be centered around the axis.\n *\n * Then, there are three exposed functions. `sizedDelim` makes a delimiter in\n * one of the given sizes. This is used for things like `\\bigl`.\n * `customSizedDelim` makes a delimiter with a given total height+depth. It is\n * called in places like `\\sqrt`. `leftRightDelim` makes an appropriate\n * delimiter which surrounds an expression of a given height an depth. It is\n * used in `\\left` and `\\right`.\n */\n\nvar ParseError = require(\"./ParseError\");\nvar Style = require(\"./Style\");\n\nvar buildCommon = require(\"./buildCommon\");\nvar fontMetrics = require(\"./fontMetrics\");\nvar symbols = require(\"./symbols\");\nvar utils = require(\"./utils\");\n\nvar makeSpan = buildCommon.makeSpan;\n\n/**\n * Get the metrics for a given symbol and font, after transformation (i.e.\n * after following replacement from symbols.js)\n */\nvar getMetrics = function(symbol, font) {\n    if (symbols.math[symbol] && symbols.math[symbol].replace) {\n        return fontMetrics.getCharacterMetrics(\n            symbols.math[symbol].replace, font);\n    } else {\n        return fontMetrics.getCharacterMetrics(\n            symbol, font);\n    }\n};\n\n/**\n * Builds a symbol in the given font size (note size is an integer)\n */\nvar mathrmSize = function(value, size, mode) {\n    return buildCommon.makeSymbol(value, \"Size\" + size + \"-Regular\", mode);\n};\n\n/**\n * Puts a delimiter span in a given style, and adds appropriate height, depth,\n * and maxFontSizes.\n */\nvar styleWrap = function(delim, toStyle, options) {\n    var span = makeSpan(\n        [\"style-wrap\", options.style.reset(), toStyle.cls()], [delim]);\n\n    var multiplier = toStyle.sizeMultiplier / options.style.sizeMultiplier;\n\n    span.height *= multiplier;\n    span.depth *= multiplier;\n    span.maxFontSize = toStyle.sizeMultiplier;\n\n    return span;\n};\n\n/**\n * Makes a small delimiter. This is a delimiter that comes in the Main-Regular\n * font, but is restyled to either be in textstyle, scriptstyle, or\n * scriptscriptstyle.\n */\nvar makeSmallDelim = function(delim, style, center, options, mode) {\n    var text = buildCommon.makeSymbol(delim, \"Main-Regular\", mode);\n\n    var span = styleWrap(text, style, options);\n\n    if (center) {\n        var shift =\n            (1 - options.style.sizeMultiplier / style.sizeMultiplier) *\n            fontMetrics.metrics.axisHeight;\n\n        span.style.top = shift + \"em\";\n        span.height -= shift;\n        span.depth += shift;\n    }\n\n    return span;\n};\n\n/**\n * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,\n * Size3, or Size4 fonts. It is always rendered in textstyle.\n */\nvar makeLargeDelim = function(delim, size, center, options, mode) {\n    var inner = mathrmSize(delim, size, mode);\n\n    var span = styleWrap(\n        makeSpan([\"delimsizing\", \"size\" + size],\n                 [inner], options.getColor()),\n        Style.TEXT, options);\n\n    if (center) {\n        var shift = (1 - options.style.sizeMultiplier) *\n            fontMetrics.metrics.axisHeight;\n\n        span.style.top = shift + \"em\";\n        span.height -= shift;\n        span.depth += shift;\n    }\n\n    return span;\n};\n\n/**\n * Make an inner span with the given offset and in the given font. This is used\n * in `makeStackedDelim` to make the stacking pieces for the delimiter.\n */\nvar makeInner = function(symbol, font, mode) {\n    var sizeClass;\n    // Apply the correct CSS class to choose the right font.\n    if (font === \"Size1-Regular\") {\n        sizeClass = \"delim-size1\";\n    } else if (font === \"Size4-Regular\") {\n        sizeClass = \"delim-size4\";\n    }\n\n    var inner = makeSpan(\n        [\"delimsizinginner\", sizeClass],\n        [makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]);\n\n    // Since this will be passed into `makeVList` in the end, wrap the element\n    // in the appropriate tag that VList uses.\n    return {type: \"elem\", elem: inner};\n};\n\n/**\n * Make a stacked delimiter out of a given delimiter, with the total height at\n * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook.\n */\nvar makeStackedDelim = function(delim, heightTotal, center, options, mode) {\n    // There are four parts, the top, an optional middle, a repeated part, and a\n    // bottom.\n    var top;\n    var middle;\n    var repeat;\n    var bottom;\n    top = repeat = bottom = delim;\n    middle = null;\n    // Also keep track of what font the delimiters are in\n    var font = \"Size1-Regular\";\n\n    // We set the parts and font based on the symbol. Note that we use\n    // '\\u23d0' instead of '|' and '\\u2016' instead of '\\\\|' for the\n    // repeats of the arrows\n    if (delim === \"\\\\uparrow\") {\n        repeat = bottom = \"\\u23d0\";\n    } else if (delim === \"\\\\Uparrow\") {\n        repeat = bottom = \"\\u2016\";\n    } else if (delim === \"\\\\downarrow\") {\n        top = repeat = \"\\u23d0\";\n    } else if (delim === \"\\\\Downarrow\") {\n        top = repeat = \"\\u2016\";\n    } else if (delim === \"\\\\updownarrow\") {\n        top = \"\\\\uparrow\";\n        repeat = \"\\u23d0\";\n        bottom = \"\\\\downarrow\";\n    } else if (delim === \"\\\\Updownarrow\") {\n        top = \"\\\\Uparrow\";\n        repeat = \"\\u2016\";\n        bottom = \"\\\\Downarrow\";\n    } else if (delim === \"[\" || delim === \"\\\\lbrack\") {\n        top = \"\\u23a1\";\n        repeat = \"\\u23a2\";\n        bottom = \"\\u23a3\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"]\" || delim === \"\\\\rbrack\") {\n        top = \"\\u23a4\";\n        repeat = \"\\u23a5\";\n        bottom = \"\\u23a6\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\lfloor\") {\n        repeat = top = \"\\u23a2\";\n        bottom = \"\\u23a3\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\lceil\") {\n        top = \"\\u23a1\";\n        repeat = bottom = \"\\u23a2\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\rfloor\") {\n        repeat = top = \"\\u23a5\";\n        bottom = \"\\u23a6\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\rceil\") {\n        top = \"\\u23a4\";\n        repeat = bottom = \"\\u23a5\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"(\") {\n        top = \"\\u239b\";\n        repeat = \"\\u239c\";\n        bottom = \"\\u239d\";\n        font = \"Size4-Regular\";\n    } else if (delim === \")\") {\n        top = \"\\u239e\";\n        repeat = \"\\u239f\";\n        bottom = \"\\u23a0\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\{\" || delim === \"\\\\lbrace\") {\n        top = \"\\u23a7\";\n        middle = \"\\u23a8\";\n        bottom = \"\\u23a9\";\n        repeat = \"\\u23aa\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\}\" || delim === \"\\\\rbrace\") {\n        top = \"\\u23ab\";\n        middle = \"\\u23ac\";\n        bottom = \"\\u23ad\";\n        repeat = \"\\u23aa\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\lgroup\") {\n        top = \"\\u23a7\";\n        bottom = \"\\u23a9\";\n        repeat = \"\\u23aa\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\rgroup\") {\n        top = \"\\u23ab\";\n        bottom = \"\\u23ad\";\n        repeat = \"\\u23aa\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\lmoustache\") {\n        top = \"\\u23a7\";\n        bottom = \"\\u23ad\";\n        repeat = \"\\u23aa\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\rmoustache\") {\n        top = \"\\u23ab\";\n        bottom = \"\\u23a9\";\n        repeat = \"\\u23aa\";\n        font = \"Size4-Regular\";\n    } else if (delim === \"\\\\surd\") {\n        top = \"\\ue001\";\n        bottom = \"\\u23b7\";\n        repeat = \"\\ue000\";\n        font = \"Size4-Regular\";\n    }\n\n    // Get the metrics of the four sections\n    var topMetrics = getMetrics(top, font);\n    var topHeightTotal = topMetrics.height + topMetrics.depth;\n    var repeatMetrics = getMetrics(repeat, font);\n    var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;\n    var bottomMetrics = getMetrics(bottom, font);\n    var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;\n    var middleHeightTotal = 0;\n    var middleFactor = 1;\n    if (middle !== null) {\n        var middleMetrics = getMetrics(middle, font);\n        middleHeightTotal = middleMetrics.height + middleMetrics.depth;\n        middleFactor = 2; // repeat symmetrically above and below middle\n    }\n\n    // Calcuate the minimal height that the delimiter can have.\n    // It is at least the size of the top, bottom, and optional middle combined.\n    var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal;\n\n    // Compute the number of copies of the repeat symbol we will need\n    var repeatCount = Math.ceil(\n        (heightTotal - minHeight) / (middleFactor * repeatHeightTotal));\n\n    // Compute the total height of the delimiter including all the symbols\n    var realHeightTotal =\n        minHeight + repeatCount * middleFactor * repeatHeightTotal;\n\n    // The center of the delimiter is placed at the center of the axis. Note\n    // that in this context, \"center\" means that the delimiter should be\n    // centered around the axis in the current style, while normally it is\n    // centered around the axis in textstyle.\n    var axisHeight = fontMetrics.metrics.axisHeight;\n    if (center) {\n        axisHeight *= options.style.sizeMultiplier;\n    }\n    // Calculate the depth\n    var depth = realHeightTotal / 2 - axisHeight;\n\n    // Now, we start building the pieces that will go into the vlist\n\n    // Keep a list of the inner pieces\n    var inners = [];\n\n    // Add the bottom symbol\n    inners.push(makeInner(bottom, font, mode));\n\n    var i;\n    if (middle === null) {\n        // Add that many symbols\n        for (i = 0; i < repeatCount; i++) {\n            inners.push(makeInner(repeat, font, mode));\n        }\n    } else {\n        // When there is a middle bit, we need the middle part and two repeated\n        // sections\n        for (i = 0; i < repeatCount; i++) {\n            inners.push(makeInner(repeat, font, mode));\n        }\n        inners.push(makeInner(middle, font, mode));\n        for (i = 0; i < repeatCount; i++) {\n            inners.push(makeInner(repeat, font, mode));\n        }\n    }\n\n    // Add the top symbol\n    inners.push(makeInner(top, font, mode));\n\n    // Finally, build the vlist\n    var inner = buildCommon.makeVList(inners, \"bottom\", depth, options);\n\n    return styleWrap(\n        makeSpan([\"delimsizing\", \"mult\"], [inner], options.getColor()),\n        Style.TEXT, options);\n};\n\n// There are three kinds of delimiters, delimiters that stack when they become\n// too large\nvar stackLargeDelimiters = [\n    \"(\", \")\", \"[\", \"\\\\lbrack\", \"]\", \"\\\\rbrack\",\n    \"\\\\{\", \"\\\\lbrace\", \"\\\\}\", \"\\\\rbrace\",\n    \"\\\\lfloor\", \"\\\\rfloor\", \"\\\\lceil\", \"\\\\rceil\",\n    \"\\\\surd\",\n];\n\n// delimiters that always stack\nvar stackAlwaysDelimiters = [\n    \"\\\\uparrow\", \"\\\\downarrow\", \"\\\\updownarrow\",\n    \"\\\\Uparrow\", \"\\\\Downarrow\", \"\\\\Updownarrow\",\n    \"|\", \"\\\\|\", \"\\\\vert\", \"\\\\Vert\",\n    \"\\\\lvert\", \"\\\\rvert\", \"\\\\lVert\", \"\\\\rVert\",\n    \"\\\\lgroup\", \"\\\\rgroup\", \"\\\\lmoustache\", \"\\\\rmoustache\",\n];\n\n// and delimiters that never stack\nvar stackNeverDelimiters = [\n    \"<\", \">\", \"\\\\langle\", \"\\\\rangle\", \"/\", \"\\\\backslash\", \"\\\\lt\", \"\\\\gt\",\n];\n\n// Metrics of the different sizes. Found by looking at TeX's output of\n// $\\bigl| // \\Bigl| \\biggl| \\Biggl| \\showlists$\n// Used to create stacked delimiters of appropriate sizes in makeSizedDelim.\nvar sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0];\n\n/**\n * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4.\n */\nvar makeSizedDelim = function(delim, size, options, mode) {\n    // < and > turn into \\langle and \\rangle in delimiters\n    if (delim === \"<\" || delim === \"\\\\lt\") {\n        delim = \"\\\\langle\";\n    } else if (delim === \">\" || delim === \"\\\\gt\") {\n        delim = \"\\\\rangle\";\n    }\n\n    // Sized delimiters are never centered.\n    if (utils.contains(stackLargeDelimiters, delim) ||\n        utils.contains(stackNeverDelimiters, delim)) {\n        return makeLargeDelim(delim, size, false, options, mode);\n    } else if (utils.contains(stackAlwaysDelimiters, delim)) {\n        return makeStackedDelim(\n            delim, sizeToMaxHeight[size], false, options, mode);\n    } else {\n        throw new ParseError(\"Illegal delimiter: '\" + delim + \"'\");\n    }\n};\n\n/**\n * There are three different sequences of delimiter sizes that the delimiters\n * follow depending on the kind of delimiter. This is used when creating custom\n * sized delimiters to decide whether to create a small, large, or stacked\n * delimiter.\n *\n * In real TeX, these sequences aren't explicitly defined, but are instead\n * defined inside the font metrics. Since there are only three sequences that\n * are possible for the delimiters that TeX defines, it is easier to just encode\n * them explicitly here.\n */\n\n// Delimiters that never stack try small delimiters and large delimiters only\nvar stackNeverDelimiterSequence = [\n    {type: \"small\", style: Style.SCRIPTSCRIPT},\n    {type: \"small\", style: Style.SCRIPT},\n    {type: \"small\", style: Style.TEXT},\n    {type: \"large\", size: 1},\n    {type: \"large\", size: 2},\n    {type: \"large\", size: 3},\n    {type: \"large\", size: 4},\n];\n\n// Delimiters that always stack try the small delimiters first, then stack\nvar stackAlwaysDelimiterSequence = [\n    {type: \"small\", style: Style.SCRIPTSCRIPT},\n    {type: \"small\", style: Style.SCRIPT},\n    {type: \"small\", style: Style.TEXT},\n    {type: \"stack\"},\n];\n\n// Delimiters that stack when large try the small and then large delimiters, and\n// stack afterwards\nvar stackLargeDelimiterSequence = [\n    {type: \"small\", style: Style.SCRIPTSCRIPT},\n    {type: \"small\", style: Style.SCRIPT},\n    {type: \"small\", style: Style.TEXT},\n    {type: \"large\", size: 1},\n    {type: \"large\", size: 2},\n    {type: \"large\", size: 3},\n    {type: \"large\", size: 4},\n    {type: \"stack\"},\n];\n\n/**\n * Get the font used in a delimiter based on what kind of delimiter it is.\n */\nvar delimTypeToFont = function(type) {\n    if (type.type === \"small\") {\n        return \"Main-Regular\";\n    } else if (type.type === \"large\") {\n        return \"Size\" + type.size + \"-Regular\";\n    } else if (type.type === \"stack\") {\n        return \"Size4-Regular\";\n    }\n};\n\n/**\n * Traverse a sequence of types of delimiters to decide what kind of delimiter\n * should be used to create a delimiter of the given height+depth.\n */\nvar traverseSequence = function(delim, height, sequence, options) {\n    // Here, we choose the index we should start at in the sequences. In smaller\n    // sizes (which correspond to larger numbers in style.size) we start earlier\n    // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts\n    // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2\n    var start = Math.min(2, 3 - options.style.size);\n    for (var i = start; i < sequence.length; i++) {\n        if (sequence[i].type === \"stack\") {\n            // This is always the last delimiter, so we just break the loop now.\n            break;\n        }\n\n        var metrics = getMetrics(delim, delimTypeToFont(sequence[i]));\n        var heightDepth = metrics.height + metrics.depth;\n\n        // Small delimiters are scaled down versions of the same font, so we\n        // account for the style change size.\n\n        if (sequence[i].type === \"small\") {\n            heightDepth *= sequence[i].style.sizeMultiplier;\n        }\n\n        // Check if the delimiter at this size works for the given height.\n        if (heightDepth > height) {\n            return sequence[i];\n        }\n    }\n\n    // If we reached the end of the sequence, return the last sequence element.\n    return sequence[sequence.length - 1];\n};\n\n/**\n * Make a delimiter of a given height+depth, with optional centering. Here, we\n * traverse the sequences, and create a delimiter that the sequence tells us to.\n */\nvar makeCustomSizedDelim = function(delim, height, center, options, mode) {\n    if (delim === \"<\" || delim === \"\\\\lt\") {\n        delim = \"\\\\langle\";\n    } else if (delim === \">\" || delim === \"\\\\gt\") {\n        delim = \"\\\\rangle\";\n    }\n\n    // Decide what sequence to use\n    var sequence;\n    if (utils.contains(stackNeverDelimiters, delim)) {\n        sequence = stackNeverDelimiterSequence;\n    } else if (utils.contains(stackLargeDelimiters, delim)) {\n        sequence = stackLargeDelimiterSequence;\n    } else {\n        sequence = stackAlwaysDelimiterSequence;\n    }\n\n    // Look through the sequence\n    var delimType = traverseSequence(delim, height, sequence, options);\n\n    // Depending on the sequence element we decided on, call the appropriate\n    // function.\n    if (delimType.type === \"small\") {\n        return makeSmallDelim(delim, delimType.style, center, options, mode);\n    } else if (delimType.type === \"large\") {\n        return makeLargeDelim(delim, delimType.size, center, options, mode);\n    } else if (delimType.type === \"stack\") {\n        return makeStackedDelim(delim, height, center, options, mode);\n    }\n};\n\n/**\n * Make a delimiter for use with `\\left` and `\\right`, given a height and depth\n * of an expression that the delimiters surround.\n */\nvar makeLeftRightDelim = function(delim, height, depth, options, mode) {\n    // We always center \\left/\\right delimiters, so the axis is always shifted\n    var axisHeight =\n        fontMetrics.metrics.axisHeight * options.style.sizeMultiplier;\n\n    // Taken from TeX source, tex.web, function make_left_right\n    var delimiterFactor = 901;\n    var delimiterExtend = 5.0 / fontMetrics.metrics.ptPerEm;\n\n    var maxDistFromAxis = Math.max(\n        height - axisHeight, depth + axisHeight);\n\n    var totalHeight = Math.max(\n        // In real TeX, calculations are done using integral values which are\n        // 65536 per pt, or 655360 per em. So, the division here truncates in\n        // TeX but doesn't here, producing different results. If we wanted to\n        // exactly match TeX's calculation, we could do\n        //   Math.floor(655360 * maxDistFromAxis / 500) *\n        //    delimiterFactor / 655360\n        // (To see the difference, compare\n        //    x^{x^{\\left(\\rule{0.1em}{0.68em}\\right)}}\n        // in TeX and KaTeX)\n        maxDistFromAxis / 500 * delimiterFactor,\n        2 * maxDistFromAxis - delimiterExtend);\n\n    // Finally, we defer to `makeCustomSizedDelim` with our calculated total\n    // height\n    return makeCustomSizedDelim(delim, totalHeight, true, options, mode);\n};\n\nmodule.exports = {\n    sizedDelim: makeSizedDelim,\n    customSizedDelim: makeCustomSizedDelim,\n    leftRightDelim: makeLeftRightDelim,\n};\n","/**\n * Provides a single function for parsing an expression using a Parser\n * TODO(emily): Remove this\n */\n\nvar Parser = require(\"./Parser\");\n\n/**\n * Parses an expression using a Parser, then returns the parsed result.\n */\nvar parseTree = function(toParse, settings) {\n    var parser = new Parser(toParse, settings);\n\n    return parser.parse();\n};\n\nmodule.exports = parseTree;\n"],"sourceRoot":""}