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Diffstat (limited to 'client/katex')
173 files changed, 9470 insertions, 0 deletions
diff --git a/client/katex/.gitkeep b/client/katex/.gitkeep new file mode 100644 index 0000000..e69de29 --- /dev/null +++ b/client/katex/.gitkeep diff --git a/client/katex/auto-render.js b/client/katex/auto-render.js new file mode 100644 index 0000000..3943dc0 --- /dev/null +++ b/client/katex/auto-render.js @@ -0,0 +1,219 @@ +(function(e){if("function"==typeof bootstrap)bootstrap("rendermathinelement",e);else if("object"==typeof exports)module.exports=e();else if("function"==typeof define&&define.amd)define(e);else if("undefined"!=typeof ses){if(!ses.ok())return;ses.makeRenderMathInElement=e}else"undefined"!=typeof window?window.renderMathInElement=e():global.renderMathInElement=e()})(function(){var define,ses,bootstrap,module,exports; +return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);throw new Error("Cannot find module '"+o+"'")}var f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){ +/* global katex */ + +var splitAtDelimiters = require("./splitAtDelimiters"); + +var splitWithDelimiters = function(text, delimiters) { + var data = [{type: "text", data: text}]; + for (var i = 0; i < delimiters.length; i++) { + var delimiter = delimiters[i]; + data = splitAtDelimiters( + data, delimiter.left, delimiter.right, + delimiter.display || false); + } + return data; +}; + +var renderMathInText = function(text, delimiters) { + var data = splitWithDelimiters(text, delimiters); + + var fragment = document.createDocumentFragment(); + + for (var i = 0; i < data.length; i++) { + if (data[i].type === "text") { + fragment.appendChild(document.createTextNode(data[i].data)); + } else { + var span = document.createElement("span"); + var math = data[i].data; + try { + katex.render(math, span, { + displayMode: data[i].display + }); + } catch (e) { + if (!(e instanceof katex.ParseError)) { + throw e; + } + console.error( + "KaTeX auto-render: Failed to parse `" + data[i].data + + "` with ", + e + ); + fragment.appendChild(document.createTextNode(data[i].rawData)); + continue; + } + fragment.appendChild(span); + } + } + + return fragment; +}; + +var renderElem = function(elem, delimiters, ignoredTags) { + for (var i = 0; i < elem.childNodes.length; i++) { + var childNode = elem.childNodes[i]; + if (childNode.nodeType === 3) { + // Text node + var frag = renderMathInText(childNode.textContent, delimiters); + i += frag.childNodes.length - 1; + elem.replaceChild(frag, childNode); + } else if (childNode.nodeType === 1) { + // Element node + var shouldRender = ignoredTags.indexOf( + childNode.nodeName.toLowerCase()) === -1; + + if (shouldRender) { + renderElem(childNode, delimiters, ignoredTags); + } + } + // Otherwise, it's something else, and ignore it. + } +}; + +var defaultOptions = { + delimiters: [ + {left: "$$", right: "$$", display: true}, + {left: "\\[", right: "\\]", display: true}, + {left: "\\(", right: "\\)", display: false} + // LaTeX uses this, but it ruins the display of normal `$` in text: + // {left: "$", right: "$", display: false} + ], + + ignoredTags: [ + "script", "noscript", "style", "textarea", "pre", "code" + ] +}; + +var extend = function(obj) { + // Adapted from underscore.js' `_.extend`. See LICENSE.txt for license. + var source, prop; + for (var i = 1, length = arguments.length; i < length; i++) { + source = arguments[i]; + for (prop in source) { + if (Object.prototype.hasOwnProperty.call(source, prop)) { + obj[prop] = source[prop]; + } + } + } + return obj; +}; + +var renderMathInElement = function(elem, options) { + if (!elem) { + throw new Error("No element provided to render"); + } + + options = extend({}, defaultOptions, options); + + renderElem(elem, options.delimiters, options.ignoredTags); +}; + +module.exports = renderMathInElement; + +},{"./splitAtDelimiters":2}],2:[function(require,module,exports){ +var findEndOfMath = function(delimiter, text, startIndex) { + // Adapted from + // https://github.com/Khan/perseus/blob/master/src/perseus-markdown.jsx + var index = startIndex; + var braceLevel = 0; + + var delimLength = delimiter.length; + + while (index < text.length) { + var character = text[index]; + + if (braceLevel <= 0 && + text.slice(index, index + delimLength) === delimiter) { + return index; + } else if (character === "\\") { + index++; + } else if (character === "{") { + braceLevel++; + } else if (character === "}") { + braceLevel--; + } + + index++; + } + + return -1; +}; + +var splitAtDelimiters = function(startData, leftDelim, rightDelim, display) { + var finalData = []; + + for (var i = 0; i < startData.length; i++) { + if (startData[i].type === "text") { + var text = startData[i].data; + + var lookingForLeft = true; + var currIndex = 0; + var nextIndex; + + nextIndex = text.indexOf(leftDelim); + if (nextIndex !== -1) { + currIndex = nextIndex; + finalData.push({ + type: "text", + data: text.slice(0, currIndex) + }); + lookingForLeft = false; + } + + while (true) { + if (lookingForLeft) { + nextIndex = text.indexOf(leftDelim, currIndex); + if (nextIndex === -1) { + break; + } + + finalData.push({ + type: "text", + data: text.slice(currIndex, nextIndex) + }); + + currIndex = nextIndex; + } else { + nextIndex = findEndOfMath( + rightDelim, + text, + currIndex + leftDelim.length); + if (nextIndex === -1) { + break; + } + + finalData.push({ + type: "math", + data: text.slice( + currIndex + leftDelim.length, + nextIndex), + rawData: text.slice( + currIndex, + nextIndex + rightDelim.length), + display: display + }); + + currIndex = nextIndex + rightDelim.length; + } + + lookingForLeft = !lookingForLeft; + } + + finalData.push({ + type: "text", + data: text.slice(currIndex) + }); + } else { + finalData.push(startData[i]); + } + } + + return finalData; +}; + +module.exports = splitAtDelimiters; + +},{}]},{},[1]) +(1) +}); +;
\ No newline at end of file diff --git a/client/katex/contrib/auto-render.min.js b/client/katex/contrib/auto-render.min.js new file mode 100644 index 0000000..5eab253 --- /dev/null +++ b/client/katex/contrib/auto-render.min.js @@ -0,0 +1 @@ +(function(e){if("function"==typeof bootstrap)bootstrap("rendermathinelement",e);else if("object"==typeof exports)module.exports=e();else if("function"==typeof define&&define.amd)define(e);else if("undefined"!=typeof ses){if(!ses.ok())return;ses.makeRenderMathInElement=e}else"undefined"!=typeof window?window.renderMathInElement=e():global.renderMathInElement=e()})(function(){var e,t,r,n,a;return function i(e,t,r){function n(o,l){if(!t[o]){if(!e[o]){var f=typeof require=="function"&&require;if(!l&&f)return f(o,!0);if(a)return a(o,!0);throw new Error("Cannot find module '"+o+"'")}var s=t[o]={exports:{}};e[o][0].call(s.exports,function(t){var r=e[o][1][t];return n(r?r:t)},s,s.exports,i,e,t,r)}return t[o].exports}var a=typeof require=="function"&&require;for(var o=0;o<r.length;o++)n(r[o]);return n}({1:[function(e,t,r){var n=e("./splitAtDelimiters");var a=function(e,t){var r=[{type:"text",data:e}];for(var a=0;a<t.length;a++){var i=t[a];r=n(r,i.left,i.right,i.display||false)}return r};var i=function(e,t){var r=a(e,t);var n=document.createDocumentFragment();for(var i=0;i<r.length;i++){if(r[i].type==="text"){n.appendChild(document.createTextNode(r[i].data))}else{var o=document.createElement("span");var l=r[i].data;try{katex.render(l,o,{displayMode:r[i].display})}catch(f){if(!(f instanceof katex.ParseError)){throw f}console.error("KaTeX auto-render: Failed to parse `"+r[i].data+"` with ",f);n.appendChild(document.createTextNode(r[i].rawData));continue}n.appendChild(o)}}return n};var o=function(e,t,r){for(var n=0;n<e.childNodes.length;n++){var a=e.childNodes[n];if(a.nodeType===3){var l=i(a.textContent,t);n+=l.childNodes.length-1;e.replaceChild(l,a)}else if(a.nodeType===1){var f=r.indexOf(a.nodeName.toLowerCase())===-1;if(f){o(a,t,r)}}}};var l={delimiters:[{left:"$$",right:"$$",display:true},{left:"\\[",right:"\\]",display:true},{left:"\\(",right:"\\)",display:false}],ignoredTags:["script","noscript","style","textarea","pre","code"]};var f=function(e){var t,r;for(var n=1,a=arguments.length;n<a;n++){t=arguments[n];for(r in t){if(Object.prototype.hasOwnProperty.call(t,r)){e[r]=t[r]}}}return e};var s=function(e,t){if(!e){throw new Error("No element provided to render")}t=f({},l,t);o(e,t.delimiters,t.ignoredTags)};t.exports=s},{"./splitAtDelimiters":2}],2:[function(e,t,r){var n=function(e,t,r){var n=r;var a=0;var i=e.length;while(n<t.length){var o=t[n];if(a<=0&&t.slice(n,n+i)===e){return n}else if(o==="\\"){n++}else if(o==="{"){a++}else if(o==="}"){a--}n++}return-1};var a=function(e,t,r,a){var i=[];for(var o=0;o<e.length;o++){if(e[o].type==="text"){var l=e[o].data;var f=true;var s=0;var d;d=l.indexOf(t);if(d!==-1){s=d;i.push({type:"text",data:l.slice(0,s)});f=false}while(true){if(f){d=l.indexOf(t,s);if(d===-1){break}i.push({type:"text",data:l.slice(s,d)});s=d}else{d=n(r,l,s+t.length);if(d===-1){break}i.push({type:"math",data:l.slice(s+t.length,d),rawData:l.slice(s,d+r.length),display:a});s=d+r.length}f=!f}i.push({type:"text",data:l.slice(s)})}else{i.push(e[o])}}return i};t.exports=a},{}]},{},[1])(1)}); diff --git a/client/katex/fonts/KaTeX_AMS-Regular.eot b/client/katex/fonts/KaTeX_AMS-Regular.eot Binary files differnew file mode 100644 index 0000000..842e453 --- /dev/null +++ b/client/katex/fonts/KaTeX_AMS-Regular.eot diff --git a/client/katex/fonts/KaTeX_AMS-Regular.ttf b/client/katex/fonts/KaTeX_AMS-Regular.ttf Binary files differnew file mode 100644 index 0000000..8da3d44 --- /dev/null +++ b/client/katex/fonts/KaTeX_AMS-Regular.ttf diff --git a/client/katex/fonts/KaTeX_AMS-Regular.woff b/client/katex/fonts/KaTeX_AMS-Regular.woff Binary files differnew file mode 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f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){ +/** + * This is the main entry point for KaTeX. Here, we expose functions for + * rendering expressions either to DOM nodes or to markup strings. + * + * We also expose the ParseError class to check if errors thrown from KaTeX are + * errors in the expression, or errors in javascript handling. + */ + +var ParseError = require("./src/ParseError"); +var Settings = require("./src/Settings"); + +var buildTree = require("./src/buildTree"); +var parseTree = require("./src/parseTree"); +var utils = require("./src/utils"); + +/** + * Parse and build an expression, and place that expression in the DOM node + * given. + */ +var render = function(expression, baseNode, options) { + utils.clearNode(baseNode); + + var settings = new Settings(options); + + var tree = parseTree(expression, settings); + var node = buildTree(tree, expression, settings).toNode(); + + baseNode.appendChild(node); +}; + +// KaTeX's styles don't work properly in quirks mode. Print out an error, and +// disable rendering. +if (typeof document !== "undefined") { + if (document.compatMode !== "CSS1Compat") { + typeof console !== "undefined" && console.warn( + "Warning: KaTeX doesn't work in quirks mode. Make sure your " + + "website has a suitable doctype."); + + render = function() { + throw new ParseError("KaTeX doesn't work in quirks mode."); + }; + } +} + +/** + * Parse and build an expression, and return the markup for that. + */ +var renderToString = function(expression, options) { + var settings = new Settings(options); + + var tree = parseTree(expression, settings); + return buildTree(tree, expression, settings).toMarkup(); +}; + +/** + * Parse an expression and return the parse tree. + */ +var generateParseTree = function(expression, options) { + var settings = new Settings(options); + return parseTree(expression, settings); +}; + +module.exports = { + render: render, + renderToString: renderToString, + /** + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __parse: generateParseTree, + ParseError: ParseError +}; + +},{"./src/ParseError":5,"./src/Settings":7,"./src/buildTree":12,"./src/parseTree":20,"./src/utils":22}],2:[function(require,module,exports){ +/** @flow */ + +"use strict"; + +function getRelocatable(re) { + // In the future, this could use a WeakMap instead of an expando. + if (!re.__matchAtRelocatable) { + // Disjunctions are the lowest-precedence operator, so we can make any + // pattern match the empty string by appending `|()` to it: + // https://people.mozilla.org/~jorendorff/es6-draft.html#sec-patterns + var source = re.source + "|()"; + + // We always make the new regex global. + var flags = "g" + (re.ignoreCase ? "i" : "") + (re.multiline ? "m" : "") + (re.unicode ? "u" : "") + // sticky (/.../y) doesn't make sense in conjunction with our relocation + // logic, so we ignore it here. + ; + + re.__matchAtRelocatable = new RegExp(source, flags); + } + return re.__matchAtRelocatable; +} + +function matchAt(re, str, pos) { + if (re.global || re.sticky) { + throw new Error("matchAt(...): Only non-global regexes are supported"); + } + var reloc = getRelocatable(re); + reloc.lastIndex = pos; + var match = reloc.exec(str); + // Last capturing group is our sentinel that indicates whether the regex + // matched at the given location. + if (match[match.length - 1] == null) { + // Original regex matched. + match.length = match.length - 1; + return match; + } else { + return null; + } +} + +module.exports = matchAt; +},{}],3:[function(require,module,exports){ +/** + * The Lexer class handles tokenizing the input in various ways. Since our + * parser expects us to be able to backtrack, the lexer allows lexing from any + * given starting point. + * + * Its main exposed function is the `lex` function, which takes a position to + * lex from and a type of token to lex. It defers to the appropriate `_innerLex` + * function. + * + * The various `_innerLex` functions perform the actual lexing of different + * kinds. + */ + +var matchAt = require("match-at"); + +var ParseError = require("./ParseError"); + +// The main lexer class +function Lexer(input) { + this._input = input; +} + +// The resulting token returned from `lex`. +function Token(text, data, position) { + this.text = text; + this.data = data; + this.position = position; +} + +// "normal" types of tokens. These are tokens which can be matched by a simple +// regex +var mathNormals = [ + /[/|@.""`0-9a-zA-Z]/, // ords + /[*+-]/, // bins + /[=<>:]/, // rels + /[,;]/, // punctuation + /['\^_{}]/, // misc + /[(\[]/, // opens + /[)\]?!]/, // closes + /~/, // spacing + /&/, // horizontal alignment + /\\\\/ // line break +]; + +// These are "normal" tokens like above, but should instead be parsed in text +// mode. +var textNormals = [ + /[a-zA-Z0-9`!@*()-=+\[\]'";:?\/.,]/, // ords + /[{}]/, // grouping + /~/, // spacing + /&/, // horizontal alignment + /\\\\/ // line break +]; + +// Regexes for matching whitespace +var whitespaceRegex = /\s*/; +var whitespaceConcatRegex = / +|\\ +/; + +// This regex matches any other TeX function, which is a backslash followed by a +// word or a single symbol +var anyFunc = /\\(?:[a-zA-Z]+|.)/; + +/** + * This function lexes a single normal token. It takes a position, a list of + * "normal" tokens to try, and whether it should completely ignore whitespace or + * not. + */ +Lexer.prototype._innerLex = function(pos, normals, ignoreWhitespace) { + var input = this._input; + var whitespace; + + if (ignoreWhitespace) { + // Get rid of whitespace. + whitespace = matchAt(whitespaceRegex, input, pos)[0]; + pos += whitespace.length; + } else { + // Do the funky concatenation of whitespace that happens in text mode. + whitespace = matchAt(whitespaceConcatRegex, input, pos); + if (whitespace !== null) { + return new Token(" ", null, pos + whitespace[0].length); + } + } + + // If there's no more input to parse, return an EOF token + if (pos === input.length) { + return new Token("EOF", null, pos); + } + + var match; + if ((match = matchAt(anyFunc, input, pos))) { + // If we match a function token, return it + return new Token(match[0], null, pos + match[0].length); + } else { + // Otherwise, we look through the normal token regexes and see if it's + // one of them. + for (var i = 0; i < normals.length; i++) { + var normal = normals[i]; + + if ((match = matchAt(normal, input, pos))) { + // If it is, return it + return new Token( + match[0], null, pos + match[0].length); + } + } + } + + throw new ParseError( + "Unexpected character: '" + input[pos] + "'", + this, pos); +}; + +// A regex to match a CSS color (like #ffffff or BlueViolet) +var cssColor = /#[a-z0-9]+|[a-z]+/i; + +/** + * This function lexes a CSS color. + */ +Lexer.prototype._innerLexColor = function(pos) { + var input = this._input; + + // Ignore whitespace + var whitespace = matchAt(whitespaceRegex, input, pos)[0]; + pos += whitespace.length; + + var match; + if ((match = matchAt(cssColor, input, pos))) { + // If we look like a color, return a color + return new Token(match[0], null, pos + match[0].length); + } else { + throw new ParseError("Invalid color", this, pos); + } +}; + +// A regex to match a dimension. Dimensions look like +// "1.2em" or ".4pt" or "1 ex" +var sizeRegex = /(-?)\s*(\d+(?:\.\d*)?|\.\d+)\s*([a-z]{2})/; + +/** + * This function lexes a dimension. + */ +Lexer.prototype._innerLexSize = function(pos) { + var input = this._input; + + // Ignore whitespace + var whitespace = matchAt(whitespaceRegex, input, pos)[0]; + pos += whitespace.length; + + var match; + if ((match = matchAt(sizeRegex, input, pos))) { + var unit = match[3]; + // We only currently handle "em" and "ex" units + if (unit !== "em" && unit !== "ex") { + throw new ParseError("Invalid unit: '" + unit + "'", this, pos); + } + return new Token(match[0], { + number: +(match[1] + match[2]), + unit: unit + }, pos + match[0].length); + } + + throw new ParseError("Invalid size", this, pos); +}; + +/** + * This function lexes a string of whitespace. + */ +Lexer.prototype._innerLexWhitespace = function(pos) { + var input = this._input; + + var whitespace = matchAt(whitespaceRegex, input, pos)[0]; + pos += whitespace.length; + + return new Token(whitespace[0], null, pos); +}; + +/** + * This function lexes a single token starting at `pos` and of the given mode. + * Based on the mode, we defer to one of the `_innerLex` functions. + */ +Lexer.prototype.lex = function(pos, mode) { + if (mode === "math") { + return this._innerLex(pos, mathNormals, true); + } else if (mode === "text") { + return this._innerLex(pos, textNormals, false); + } else if (mode === "color") { + return this._innerLexColor(pos); + } else if (mode === "size") { + return this._innerLexSize(pos); + } else if (mode === "whitespace") { + return this._innerLexWhitespace(pos); + } +}; + +module.exports = Lexer; + +},{"./ParseError":5,"match-at":2}],4:[function(require,module,exports){ +/** + * This file contains information about the options that the Parser carries + * around with it while parsing. Data is held in an `Options` object, and when + * recursing, a new `Options` object can be created with the `.with*` and + * `.reset` functions. + */ + +/** + * This is the main options class. It contains the style, size, color, and font + * of the current parse level. It also contains the style and size of the parent + * parse level, so size changes can be handled efficiently. + * + * Each of the `.with*` and `.reset` functions passes its current style and size + * as the parentStyle and parentSize of the new options class, so parent + * handling is taken care of automatically. + */ +function Options(data) { + this.style = data.style; + this.color = data.color; + this.size = data.size; + this.phantom = data.phantom; + this.font = data.font; + + if (data.parentStyle === undefined) { + this.parentStyle = data.style; + } else { + this.parentStyle = data.parentStyle; + } + + if (data.parentSize === undefined) { + this.parentSize = data.size; + } else { + this.parentSize = data.parentSize; + } +} + +/** + * Returns a new options object with the same properties as "this". Properties + * from "extension" will be copied to the new options object. + */ +Options.prototype.extend = function(extension) { + var data = { + style: this.style, + size: this.size, + color: this.color, + parentStyle: this.style, + parentSize: this.size, + phantom: this.phantom, + font: this.font + }; + + for (var key in extension) { + if (extension.hasOwnProperty(key)) { + data[key] = extension[key]; + } + } + + return new Options(data); +}; + +/** + * Create a new options object with the given style. + */ +Options.prototype.withStyle = function(style) { + return this.extend({ + style: style + }); +}; + +/** + * Create a new options object with the given size. + */ +Options.prototype.withSize = function(size) { + return this.extend({ + size: size + }); +}; + +/** + * Create a new options object with the given color. + */ +Options.prototype.withColor = function(color) { + return this.extend({ + color: color + }); +}; + +/** + * Create a new options object with "phantom" set to true. + */ +Options.prototype.withPhantom = function() { + return this.extend({ + phantom: true + }); +}; + +/** + * Create a new options objects with the give font. + */ +Options.prototype.withFont = function(font) { + return this.extend({ + font: font + }); +}; + +/** + * Create a new options object with the same style, size, and color. This is + * used so that parent style and size changes are handled correctly. + */ +Options.prototype.reset = function() { + return this.extend({}); +}; + +/** + * A map of color names to CSS colors. + * TODO(emily): Remove this when we have real macros + */ +var colorMap = { + "katex-blue": "#6495ed", + "katex-orange": "#ffa500", + "katex-pink": "#ff00af", + "katex-red": "#df0030", + "katex-green": "#28ae7b", + "katex-gray": "gray", + "katex-purple": "#9d38bd", + "katex-blueA": "#c7e9f1", + "katex-blueB": "#9cdceb", + "katex-blueC": "#58c4dd", + "katex-blueD": "#29abca", + "katex-blueE": "#1c758a", + "katex-tealA": "#acead7", + "katex-tealB": "#76ddc0", + "katex-tealC": "#5cd0b3", + "katex-tealD": "#55c1a7", + "katex-tealE": "#49a88f", + "katex-greenA": "#c9e2ae", + "katex-greenB": "#a6cf8c", + "katex-greenC": "#83c167", + "katex-greenD": "#77b05d", + "katex-greenE": "#699c52", + "katex-goldA": "#f7c797", + "katex-goldB": "#f9b775", + "katex-goldC": "#f0ac5f", + "katex-goldD": "#e1a158", + "katex-goldE": "#c78d46", + "katex-redA": "#f7a1a3", + "katex-redB": "#ff8080", + "katex-redC": "#fc6255", + "katex-redD": "#e65a4c", + "katex-redE": "#cf5044", + "katex-maroonA": "#ecabc1", + "katex-maroonB": "#ec92ab", + "katex-maroonC": "#c55f73", + "katex-maroonD": "#a24d61", + "katex-maroonE": "#94424f", + "katex-purpleA": "#caa3e8", + "katex-purpleB": "#b189c6", + "katex-purpleC": "#9a72ac", + "katex-purpleD": "#715582", + "katex-purpleE": "#644172", + "katex-mintA": "#f5f9e8", + "katex-mintB": "#edf2df", + "katex-mintC": "#e0e5cc", + "katex-grayA": "#fdfdfd", + "katex-grayB": "#f7f7f7", + "katex-grayC": "#eeeeee", + "katex-grayD": "#dddddd", + "katex-grayE": "#cccccc", + "katex-grayF": "#aaaaaa", + "katex-grayG": "#999999", + "katex-grayH": "#555555", + "katex-grayI": "#333333", + "katex-kaBlue": "#314453", + "katex-kaGreen": "#639b24" +}; + +/** + * Gets the CSS color of the current options object, accounting for the + * `colorMap`. + */ +Options.prototype.getColor = function() { + if (this.phantom) { + return "transparent"; + } else { + return colorMap[this.color] || this.color; + } +}; + +module.exports = Options; + +},{}],5:[function(require,module,exports){ +/** + * This is the ParseError class, which is the main error thrown by KaTeX + * functions when something has gone wrong. This is used to distinguish internal + * errors from errors in the expression that the user provided. + */ +function ParseError(message, lexer, position) { + var error = "KaTeX parse error: " + message; + + if (lexer !== undefined && position !== undefined) { + // If we have the input and a position, make the error a bit fancier + + // Prepend some information + error += " at position " + position + ": "; + + // Get the input + var input = lexer._input; + // Insert a combining underscore at the correct position + input = input.slice(0, position) + "\u0332" + + input.slice(position); + + // Extract some context from the input and add it to the error + var begin = Math.max(0, position - 15); + var end = position + 15; + error += input.slice(begin, end); + } + + // Some hackery to make ParseError a prototype of Error + // See http://stackoverflow.com/a/8460753 + var self = new Error(error); + self.name = "ParseError"; + self.__proto__ = ParseError.prototype; + + self.position = position; + return self; +} + +// More hackery +ParseError.prototype.__proto__ = Error.prototype; + +module.exports = ParseError; + +},{}],6:[function(require,module,exports){ +var functions = require("./functions"); +var environments = require("./environments"); +var Lexer = require("./Lexer"); +var symbols = require("./symbols"); +var utils = require("./utils"); + +var parseData = require("./parseData"); +var ParseError = require("./ParseError"); + +/** + * This file contains the parser used to parse out a TeX expression from the + * input. Since TeX isn't context-free, standard parsers don't work particularly + * well. + * + * The strategy of this parser is as such: + * + * The main functions (the `.parse...` ones) take a position in the current + * parse string to parse tokens from. The lexer (found in Lexer.js, stored at + * this.lexer) also supports pulling out tokens at arbitrary places. When + * individual tokens are needed at a position, the lexer is called to pull out a + * token, which is then used. + * + * The main functions also take a mode that the parser is currently in + * (currently "math" or "text"), which denotes whether the current environment + * is a math-y one or a text-y one (e.g. inside \text). Currently, this serves + * to limit the functions which can be used in text mode. + * + * The main functions then return an object which contains the useful data that + * was parsed at its given point, and a new position at the end of the parsed + * data. The main functions can call each other and continue the parsing by + * using the returned position as a new starting point. + * + * There are also extra `.handle...` functions, which pull out some reused + * functionality into self-contained functions. + * + * The earlier functions return `ParseResult`s, which contain a ParseNode and a + * new position. + * + * The later functions (which are called deeper in the parse) sometimes return + * ParseFuncOrArgument, which contain a ParseResult as well as some data about + * whether the parsed object is a function which is missing some arguments, or a + * standalone object which can be used as an argument to another function. + */ + +/** + * Main Parser class + */ +function Parser(input, settings) { + // Make a new lexer + this.lexer = new Lexer(input); + // Store the settings for use in parsing + this.settings = settings; +} + +var ParseNode = parseData.ParseNode; +var ParseResult = parseData.ParseResult; + +/** + * An initial function (without its arguments), or an argument to a function. + * The `result` argument should be a ParseResult. + */ +function ParseFuncOrArgument(result, isFunction) { + this.result = result; + // Is this a function (i.e. is it something defined in functions.js)? + this.isFunction = isFunction; +} + +/** + * Checks a result to make sure it has the right type, and throws an + * appropriate error otherwise. + */ +Parser.prototype.expect = function(result, text) { + if (result.text !== text) { + throw new ParseError( + "Expected '" + text + "', got '" + result.text + "'", + this.lexer, result.position + ); + } +}; + +/** + * Main parsing function, which parses an entire input. + * + * @return {?Array.<ParseNode>} + */ +Parser.prototype.parse = function(input) { + // Try to parse the input + var parse = this.parseInput(0, "math"); + return parse.result; +}; + +/** + * Parses an entire input tree. + */ +Parser.prototype.parseInput = function(pos, mode) { + // Parse an expression + var expression = this.parseExpression(pos, mode, false); + // If we succeeded, make sure there's an EOF at the end + this.expect(expression.peek, "EOF"); + return expression; +}; + +var endOfExpression = ["}", "\\end", "\\right", "&", "\\\\", "\\cr"]; + +/** + * Parses an "expression", which is a list of atoms. + * + * @param {boolean} breakOnInfix Should the parsing stop when we hit infix + * nodes? This happens when functions have higher precendence + * than infix nodes in implicit parses. + * + * @param {?string} breakOnToken The token that the expression should end with, + * or `null` if something else should end the expression. + * + * @return {ParseResult} + */ +Parser.prototype.parseExpression = function(pos, mode, breakOnInfix, breakOnToken) { + var body = []; + var lex = null; + // Keep adding atoms to the body until we can't parse any more atoms (either + // we reached the end, a }, or a \right) + while (true) { + lex = this.lexer.lex(pos, mode); + if (endOfExpression.indexOf(lex.text) !== -1) { + break; + } + if (breakOnToken && lex.text === breakOnToken) { + break; + } + var atom = this.parseAtom(pos, mode); + if (!atom) { + break; + } + if (breakOnInfix && atom.result.type === "infix") { + break; + } + body.push(atom.result); + pos = atom.position; + } + var res = new ParseResult(this.handleInfixNodes(body, mode), pos); + res.peek = lex; + return res; +}; + +/** + * Rewrites infix operators such as \over with corresponding commands such + * as \frac. + * + * There can only be one infix operator per group. If there's more than one + * then the expression is ambiguous. This can be resolved by adding {}. + * + * @returns {Array} + */ +Parser.prototype.handleInfixNodes = function (body, mode) { + var overIndex = -1; + var func; + var funcName; + + for (var i = 0; i < body.length; i++) { + var node = body[i]; + if (node.type === "infix") { + if (overIndex !== -1) { + throw new ParseError("only one infix operator per group", + this.lexer, -1); + } + overIndex = i; + funcName = node.value.replaceWith; + func = functions.funcs[funcName]; + } + } + + if (overIndex !== -1) { + var numerNode, denomNode; + + var numerBody = body.slice(0, overIndex); + var denomBody = body.slice(overIndex + 1); + + if (numerBody.length === 1 && numerBody[0].type === "ordgroup") { + numerNode = numerBody[0]; + } else { + numerNode = new ParseNode("ordgroup", numerBody, mode); + } + + if (denomBody.length === 1 && denomBody[0].type === "ordgroup") { + denomNode = denomBody[0]; + } else { + denomNode = new ParseNode("ordgroup", denomBody, mode); + } + + var value = func.handler(funcName, numerNode, denomNode); + return [new ParseNode(value.type, value, mode)]; + } else { + return body; + } +}; + +// The greediness of a superscript or subscript +var SUPSUB_GREEDINESS = 1; + +/** + * Handle a subscript or superscript with nice errors. + */ +Parser.prototype.handleSupSubscript = function(pos, mode, symbol, name) { + var group = this.parseGroup(pos, mode); + + if (!group) { + throw new ParseError( + "Expected group after '" + symbol + "'", this.lexer, pos); + } else if (group.isFunction) { + // ^ and _ have a greediness, so handle interactions with functions' + // greediness + var funcGreediness = functions.funcs[group.result.result].greediness; + if (funcGreediness > SUPSUB_GREEDINESS) { + return this.parseFunction(pos, mode); + } else { + throw new ParseError( + "Got function '" + group.result.result + "' with no arguments " + + "as " + name, + this.lexer, pos); + } + } else { + return group.result; + } +}; + +/** + * Parses a group with optional super/subscripts. + * + * @return {?ParseResult} + */ +Parser.prototype.parseAtom = function(pos, mode) { + // The body of an atom is an implicit group, so that things like + // \left(x\right)^2 work correctly. + var base = this.parseImplicitGroup(pos, mode); + + // In text mode, we don't have superscripts or subscripts + if (mode === "text") { + return base; + } + + // Handle an empty base + var currPos; + if (!base) { + currPos = pos; + base = undefined; + } else { + currPos = base.position; + } + + var superscript; + var subscript; + var result; + while (true) { + // Lex the first token + var lex = this.lexer.lex(currPos, mode); + + if (lex.text === "^") { + // We got a superscript start + if (superscript) { + throw new ParseError( + "Double superscript", this.lexer, currPos); + } + result = this.handleSupSubscript( + lex.position, mode, lex.text, "superscript"); + currPos = result.position; + superscript = result.result; + } else if (lex.text === "_") { + // We got a subscript start + if (subscript) { + throw new ParseError( + "Double subscript", this.lexer, currPos); + } + result = this.handleSupSubscript( + lex.position, mode, lex.text, "subscript"); + currPos = result.position; + subscript = result.result; + } else if (lex.text === "'") { + // We got a prime + var prime = new ParseNode("textord", "\\prime", mode); + + // Many primes can be grouped together, so we handle this here + var primes = [prime]; + currPos = lex.position; + // Keep lexing tokens until we get something that's not a prime + while ((lex = this.lexer.lex(currPos, mode)).text === "'") { + // For each one, add another prime to the list + primes.push(prime); + currPos = lex.position; + } + // Put them into an ordgroup as the superscript + superscript = new ParseNode("ordgroup", primes, mode); + } else { + // If it wasn't ^, _, or ', stop parsing super/subscripts + break; + } + } + + if (superscript || subscript) { + // If we got either a superscript or subscript, create a supsub + return new ParseResult( + new ParseNode("supsub", { + base: base && base.result, + sup: superscript, + sub: subscript + }, mode), + currPos); + } else { + // Otherwise return the original body + return base; + } +}; + +// A list of the size-changing functions, for use in parseImplicitGroup +var sizeFuncs = [ + "\\tiny", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", + "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge" +]; + +// A list of the style-changing functions, for use in parseImplicitGroup +var styleFuncs = [ + "\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle" +]; + +/** + * Parses an implicit group, which is a group that starts at the end of a + * specified, and ends right before a higher explicit group ends, or at EOL. It + * is used for functions that appear to affect the current style, like \Large or + * \textrm, where instead of keeping a style we just pretend that there is an + * implicit grouping after it until the end of the group. E.g. + * small text {\Large large text} small text again + * It is also used for \left and \right to get the correct grouping. + * + * @return {?ParseResult} + */ +Parser.prototype.parseImplicitGroup = function(pos, mode) { + var start = this.parseSymbol(pos, mode); + + if (!start || !start.result) { + // If we didn't get anything we handle, fall back to parseFunction + return this.parseFunction(pos, mode); + } + + var func = start.result.result; + var body; + + if (func === "\\left") { + // If we see a left: + // Parse the entire left function (including the delimiter) + var left = this.parseFunction(pos, mode); + // Parse out the implicit body + body = this.parseExpression(left.position, mode, false); + // Check the next token + this.expect(body.peek, "\\right"); + var right = this.parseFunction(body.position, mode); + return new ParseResult( + new ParseNode("leftright", { + body: body.result, + left: left.result.value.value, + right: right.result.value.value + }, mode), + right.position); + } else if (func === "\\begin") { + // begin...end is similar to left...right + var begin = this.parseFunction(pos, mode); + var envName = begin.result.value.name; + if (!environments.hasOwnProperty(envName)) { + throw new ParseError( + "No such environment: " + envName, + this.lexer, begin.result.value.namepos); + } + // Build the environment object. Arguments and other information will + // be made available to the begin and end methods using properties. + var env = environments[envName]; + var args = [null, mode, envName]; + var newPos = this.parseArguments( + begin.position, mode, "\\begin{" + envName + "}", env, args); + args[0] = newPos; + var result = env.handler.apply(this, args); + var endLex = this.lexer.lex(result.position, mode); + this.expect(endLex, "\\end"); + var end = this.parseFunction(result.position, mode); + if (end.result.value.name !== envName) { + throw new ParseError( + "Mismatch: \\begin{" + envName + "} matched " + + "by \\end{" + end.result.value.name + "}", + this.lexer, end.namepos); + } + result.position = end.position; + return result; + } else if (utils.contains(sizeFuncs, func)) { + // If we see a sizing function, parse out the implict body + body = this.parseExpression(start.result.position, mode, false); + return new ParseResult( + new ParseNode("sizing", { + // Figure out what size to use based on the list of functions above + size: "size" + (utils.indexOf(sizeFuncs, func) + 1), + value: body.result + }, mode), + body.position); + } else if (utils.contains(styleFuncs, func)) { + // If we see a styling function, parse out the implict body + body = this.parseExpression(start.result.position, mode, true); + return new ParseResult( + new ParseNode("styling", { + // Figure out what style to use by pulling out the style from + // the function name + style: func.slice(1, func.length - 5), + value: body.result + }, mode), + body.position); + } else { + // Defer to parseFunction if it's not a function we handle + return this.parseFunction(pos, mode); + } +}; + +/** + * Parses an entire function, including its base and all of its arguments + * + * @return {?ParseResult} + */ +Parser.prototype.parseFunction = function(pos, mode) { + var baseGroup = this.parseGroup(pos, mode); + + if (baseGroup) { + if (baseGroup.isFunction) { + var func = baseGroup.result.result; + var funcData = functions.funcs[func]; + if (mode === "text" && !funcData.allowedInText) { + throw new ParseError( + "Can't use function '" + func + "' in text mode", + this.lexer, baseGroup.position); + } + + var args = [func]; + var newPos = this.parseArguments( + baseGroup.result.position, mode, func, funcData, args); + var result = functions.funcs[func].handler.apply(this, args); + return new ParseResult( + new ParseNode(result.type, result, mode), + newPos); + } else { + return baseGroup.result; + } + } else { + return null; + } +}; + + +/** + * Parses the arguments of a function or environment + * + * @param {string} func "\name" or "\begin{name}" + * @param {{numArgs:number,numOptionalArgs:number|undefined}} funcData + * @param {Array} args list of arguments to which new ones will be pushed + * @return the position after all arguments have been parsed + */ +Parser.prototype.parseArguments = function(pos, mode, func, funcData, args) { + var totalArgs = funcData.numArgs + funcData.numOptionalArgs; + if (totalArgs === 0) { + return pos; + } + + var newPos = pos; + var baseGreediness = funcData.greediness; + var positions = [newPos]; + + for (var i = 0; i < totalArgs; i++) { + var argType = funcData.argTypes && funcData.argTypes[i]; + var arg; + if (i < funcData.numOptionalArgs) { + if (argType) { + arg = this.parseSpecialGroup(newPos, argType, mode, true); + } else { + arg = this.parseOptionalGroup(newPos, mode); + } + if (!arg) { + args.push(null); + positions.push(newPos); + continue; + } + } else { + if (argType) { + arg = this.parseSpecialGroup(newPos, argType, mode); + } else { + arg = this.parseGroup(newPos, mode); + } + if (!arg) { + throw new ParseError( + "Expected group after '" + func + "'", + this.lexer, newPos); + } + } + var argNode; + if (arg.isFunction) { + var argGreediness = + functions.funcs[arg.result.result].greediness; + if (argGreediness > baseGreediness) { + argNode = this.parseFunction(newPos, mode); + } else { + throw new ParseError( + "Got function '" + arg.result.result + "' as " + + "argument to '" + func + "'", + this.lexer, arg.result.position - 1); + } + } else { + argNode = arg.result; + } + args.push(argNode.result); + positions.push(argNode.position); + newPos = argNode.position; + } + + args.push(positions); + + return newPos; +}; + + +/** + * Parses a group when the mode is changing. Takes a position, a new mode, and + * an outer mode that is used to parse the outside. + * + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseSpecialGroup = function(pos, mode, outerMode, optional) { + // Handle `original` argTypes + if (mode === "original") { + mode = outerMode; + } + + if (mode === "color" || mode === "size") { + // color and size modes are special because they should have braces and + // should only lex a single symbol inside + var openBrace = this.lexer.lex(pos, outerMode); + if (optional && openBrace.text !== "[") { + // optional arguments should return null if they don't exist + return null; + } + this.expect(openBrace, optional ? "[" : "{"); + var inner = this.lexer.lex(openBrace.position, mode); + var data; + if (mode === "color") { + data = inner.text; + } else { + data = inner.data; + } + var closeBrace = this.lexer.lex(inner.position, outerMode); + this.expect(closeBrace, optional ? "]" : "}"); + return new ParseFuncOrArgument( + new ParseResult( + new ParseNode(mode, data, outerMode), + closeBrace.position), + false); + } else if (mode === "text") { + // text mode is special because it should ignore the whitespace before + // it + var whitespace = this.lexer.lex(pos, "whitespace"); + pos = whitespace.position; + } + + if (optional) { + return this.parseOptionalGroup(pos, mode); + } else { + return this.parseGroup(pos, mode); + } +}; + +/** + * Parses a group, which is either a single nucleus (like "x") or an expression + * in braces (like "{x+y}") + * + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseGroup = function(pos, mode) { + var start = this.lexer.lex(pos, mode); + // Try to parse an open brace + if (start.text === "{") { + // If we get a brace, parse an expression + var expression = this.parseExpression(start.position, mode, false); + // Make sure we get a close brace + var closeBrace = this.lexer.lex(expression.position, mode); + this.expect(closeBrace, "}"); + return new ParseFuncOrArgument( + new ParseResult( + new ParseNode("ordgroup", expression.result, mode), + closeBrace.position), + false); + } else { + // Otherwise, just return a nucleus + return this.parseSymbol(pos, mode); + } +}; + +/** + * Parses a group, which is an expression in brackets (like "[x+y]") + * + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseOptionalGroup = function(pos, mode) { + var start = this.lexer.lex(pos, mode); + // Try to parse an open bracket + if (start.text === "[") { + // If we get a brace, parse an expression + var expression = this.parseExpression(start.position, mode, false, "]"); + // Make sure we get a close bracket + var closeBracket = this.lexer.lex(expression.position, mode); + this.expect(closeBracket, "]"); + return new ParseFuncOrArgument( + new ParseResult( + new ParseNode("ordgroup", expression.result, mode), + closeBracket.position), + false); + } else { + // Otherwise, return null, + return null; + } +}; + +/** + * Parse a single symbol out of the string. Here, we handle both the functions + * we have defined, as well as the single character symbols + * + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseSymbol = function(pos, mode) { + var nucleus = this.lexer.lex(pos, mode); + + if (functions.funcs[nucleus.text]) { + // If there exists a function with this name, we return the function and + // say that it is a function. + return new ParseFuncOrArgument( + new ParseResult(nucleus.text, nucleus.position), + true); + } else if (symbols[mode][nucleus.text]) { + // Otherwise if this is a no-argument function, find the type it + // corresponds to in the symbols map + return new ParseFuncOrArgument( + new ParseResult( + new ParseNode(symbols[mode][nucleus.text].group, + nucleus.text, mode), + nucleus.position), + false); + } else { + return null; + } +}; + +Parser.prototype.ParseNode = ParseNode; + +module.exports = Parser; + +},{"./Lexer":3,"./ParseError":5,"./environments":15,"./functions":17,"./parseData":19,"./symbols":21,"./utils":22}],7:[function(require,module,exports){ +/** + * This is a module for storing settings passed into KaTeX. It correctly handles + * default settings. + */ + +/** + * Helper function for getting a default value if the value is undefined + */ +function get(option, defaultValue) { + return option === undefined ? defaultValue : option; +} + +/** + * The main Settings object + * + * The current options stored are: + * - displayMode: Whether the expression should be typeset by default in + * textstyle or displaystyle (default false) + */ +function Settings(options) { + // allow null options + options = options || {}; + this.displayMode = get(options.displayMode, false); +} + +module.exports = Settings; + +},{}],8:[function(require,module,exports){ +/** + * This file contains information and classes for the various kinds of styles + * used in TeX. It provides a generic `Style` class, which holds information + * about a specific style. It then provides instances of all the different kinds + * of styles possible, and provides functions to move between them and get + * information about them. + */ + +/** + * The main style class. Contains a unique id for the style, a size (which is + * the same for cramped and uncramped version of a style), a cramped flag, and a + * size multiplier, which gives the size difference between a style and + * textstyle. + */ +function Style(id, size, multiplier, cramped) { + this.id = id; + this.size = size; + this.cramped = cramped; + this.sizeMultiplier = multiplier; +} + +/** + * Get the style of a superscript given a base in the current style. + */ +Style.prototype.sup = function() { + return styles[sup[this.id]]; +}; + +/** + * Get the style of a subscript given a base in the current style. + */ +Style.prototype.sub = function() { + return styles[sub[this.id]]; +}; + +/** + * Get the style of a fraction numerator given the fraction in the current + * style. + */ +Style.prototype.fracNum = function() { + return styles[fracNum[this.id]]; +}; + +/** + * Get the style of a fraction denominator given the fraction in the current + * style. + */ +Style.prototype.fracDen = function() { + return styles[fracDen[this.id]]; +}; + +/** + * Get the cramped version of a style (in particular, cramping a cramped style + * doesn't change the style). + */ +Style.prototype.cramp = function() { + return styles[cramp[this.id]]; +}; + +/** + * HTML class name, like "displaystyle cramped" + */ +Style.prototype.cls = function() { + return sizeNames[this.size] + (this.cramped ? " cramped" : " uncramped"); +}; + +/** + * HTML Reset class name, like "reset-textstyle" + */ +Style.prototype.reset = function() { + return resetNames[this.size]; +}; + +// IDs of the different styles +var D = 0; +var Dc = 1; +var T = 2; +var Tc = 3; +var S = 4; +var Sc = 5; +var SS = 6; +var SSc = 7; + +// String names for the different sizes +var sizeNames = [ + "displaystyle textstyle", + "textstyle", + "scriptstyle", + "scriptscriptstyle" +]; + +// Reset names for the different sizes +var resetNames = [ + "reset-textstyle", + "reset-textstyle", + "reset-scriptstyle", + "reset-scriptscriptstyle" +]; + +// Instances of the different styles +var styles = [ + new Style(D, 0, 1.0, false), + new Style(Dc, 0, 1.0, true), + new Style(T, 1, 1.0, false), + new Style(Tc, 1, 1.0, true), + new Style(S, 2, 0.7, false), + new Style(Sc, 2, 0.7, true), + new Style(SS, 3, 0.5, false), + new Style(SSc, 3, 0.5, true) +]; + +// Lookup tables for switching from one style to another +var sup = [S, Sc, S, Sc, SS, SSc, SS, SSc]; +var sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc]; +var fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc]; +var fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc]; +var cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc]; + +// We only export some of the styles. Also, we don't export the `Style` class so +// no more styles can be generated. +module.exports = { + DISPLAY: styles[D], + TEXT: styles[T], + SCRIPT: styles[S], + SCRIPTSCRIPT: styles[SS] +}; + +},{}],9:[function(require,module,exports){ +/** + * This module contains general functions that can be used for building + * different kinds of domTree nodes in a consistent manner. + */ + +var domTree = require("./domTree"); +var fontMetrics = require("./fontMetrics"); +var symbols = require("./symbols"); +var utils = require("./utils"); + +/** + * Makes a symbolNode after translation via the list of symbols in symbols.js. + * Correctly pulls out metrics for the character, and optionally takes a list of + * classes to be attached to the node. + */ +var makeSymbol = function(value, style, mode, color, classes) { + // Replace the value with its replaced value from symbol.js + if (symbols[mode][value] && symbols[mode][value].replace) { + value = symbols[mode][value].replace; + } + + var metrics = fontMetrics.getCharacterMetrics(value, style); + + var symbolNode; + if (metrics) { + symbolNode = new domTree.symbolNode( + value, metrics.height, metrics.depth, metrics.italic, metrics.skew, + classes); + } else { + // TODO(emily): Figure out a good way to only print this in development + typeof console !== "undefined" && console.warn( + "No character metrics for '" + value + "' in style '" + + style + "'"); + symbolNode = new domTree.symbolNode(value, 0, 0, 0, 0, classes); + } + + if (color) { + symbolNode.style.color = color; + } + + return symbolNode; +}; + +/** + * Makes a symbol in Main-Regular or AMS-Regular. + * Used for rel, bin, open, close, inner, and punct. + */ +var mathsym = function(value, mode, color, classes) { + // Decide what font to render the symbol in by its entry in the symbols + // table. + if (symbols[mode][value].font === "main") { + return makeSymbol(value, "Main-Regular", mode, color, classes); + } else { + return makeSymbol( + value, "AMS-Regular", mode, color, classes.concat(["amsrm"])); + } +}; + +/** + * Makes a symbol in the default font for mathords and textords. + */ +var mathDefault = function(value, mode, color, classes, type) { + if (type === "mathord") { + return mathit(value, mode, color, classes); + } else if (type === "textord") { + return makeSymbol( + value, "Main-Regular", mode, color, classes.concat(["mathrm"])); + } else { + throw new Error("unexpected type: " + type + " in mathDefault"); + } +}; + +/** + * Makes a symbol in the italic math font. + */ +var mathit = function(value, mode, color, classes) { + if (/[0-9]/.test(value.charAt(0)) || + utils.contains(["\u0131", "\u0237"], value) || + utils.contains(greekCapitals, value)) { + return makeSymbol( + value, "Main-Italic", mode, color, classes.concat(["mainit"])); + } else { + return makeSymbol( + value, "Math-Italic", mode, color, classes.concat(["mathit"])); + } +}; + +/** + * Makes either a mathord or textord in the correct font and color. + */ +var makeOrd = function(group, options, type) { + var mode = group.mode; + var value = group.value; + if (symbols[mode][value] && symbols[mode][value].replace) { + value = symbols[mode][value].replace; + } + + var classes = ["mord"]; + var color = options.getColor(); + + var font = options.font; + if (font) { + if (font === "mathit" || utils.contains(["\u0131", "\u0237"], value)) { + return mathit(value, mode, color, classes.concat(["mathit"])); + } else { + var fontName = fontMap[font].fontName; + if (fontMetrics.getCharacterMetrics(value, fontName)) { + return makeSymbol(value, fontName, mode, color, classes.concat([font])); + } else { + return mathDefault(value, mode, color, classes, type); + } + } + } else { + return mathDefault(value, mode, color, classes, type); + } +}; + +/** + * Calculate the height, depth, and maxFontSize of an element based on its + * children. + */ +var sizeElementFromChildren = function(elem) { + var height = 0; + var depth = 0; + var maxFontSize = 0; + + if (elem.children) { + for (var i = 0; i < elem.children.length; i++) { + if (elem.children[i].height > height) { + height = elem.children[i].height; + } + if (elem.children[i].depth > depth) { + depth = elem.children[i].depth; + } + if (elem.children[i].maxFontSize > maxFontSize) { + maxFontSize = elem.children[i].maxFontSize; + } + } + } + + elem.height = height; + elem.depth = depth; + elem.maxFontSize = maxFontSize; +}; + +/** + * Makes a span with the given list of classes, list of children, and color. + */ +var makeSpan = function(classes, children, color) { + var span = new domTree.span(classes, children); + + sizeElementFromChildren(span); + + if (color) { + span.style.color = color; + } + + return span; +}; + +/** + * Makes a document fragment with the given list of children. + */ +var makeFragment = function(children) { + var fragment = new domTree.documentFragment(children); + + sizeElementFromChildren(fragment); + + return fragment; +}; + +/** + * Makes an element placed in each of the vlist elements to ensure that each + * element has the same max font size. To do this, we create a zero-width space + * with the correct font size. + */ +var makeFontSizer = function(options, fontSize) { + var fontSizeInner = makeSpan([], [new domTree.symbolNode("\u200b")]); + fontSizeInner.style.fontSize = (fontSize / options.style.sizeMultiplier) + "em"; + + var fontSizer = makeSpan( + ["fontsize-ensurer", "reset-" + options.size, "size5"], + [fontSizeInner]); + + return fontSizer; +}; + +/** + * Makes a vertical list by stacking elements and kerns on top of each other. + * Allows for many different ways of specifying the positioning method. + * + * Arguments: + * - children: A list of child or kern nodes to be stacked on top of each other + * (i.e. the first element will be at the bottom, and the last at + * the top). Element nodes are specified as + * {type: "elem", elem: node} + * while kern nodes are specified as + * {type: "kern", size: size} + * - positionType: The method by which the vlist should be positioned. Valid + * values are: + * - "individualShift": The children list only contains elem + * nodes, and each node contains an extra + * "shift" value of how much it should be + * shifted (note that shifting is always + * moving downwards). positionData is + * ignored. + * - "top": The positionData specifies the topmost point of + * the vlist (note this is expected to be a height, + * so positive values move up) + * - "bottom": The positionData specifies the bottommost point + * of the vlist (note this is expected to be a + * depth, so positive values move down + * - "shift": The vlist will be positioned such that its + * baseline is positionData away from the baseline + * of the first child. Positive values move + * downwards. + * - "firstBaseline": The vlist will be positioned such that + * its baseline is aligned with the + * baseline of the first child. + * positionData is ignored. (this is + * equivalent to "shift" with + * positionData=0) + * - positionData: Data used in different ways depending on positionType + * - options: An Options object + * + */ +var makeVList = function(children, positionType, positionData, options) { + var depth; + var currPos; + var i; + if (positionType === "individualShift") { + var oldChildren = children; + children = [oldChildren[0]]; + + // Add in kerns to the list of children to get each element to be + // shifted to the correct specified shift + depth = -oldChildren[0].shift - oldChildren[0].elem.depth; + currPos = depth; + for (i = 1; i < oldChildren.length; i++) { + var diff = -oldChildren[i].shift - currPos - + oldChildren[i].elem.depth; + var size = diff - + (oldChildren[i - 1].elem.height + + oldChildren[i - 1].elem.depth); + + currPos = currPos + diff; + + children.push({type: "kern", size: size}); + children.push(oldChildren[i]); + } + } else if (positionType === "top") { + // We always start at the bottom, so calculate the bottom by adding up + // all the sizes + var bottom = positionData; + for (i = 0; i < children.length; i++) { + if (children[i].type === "kern") { + bottom -= children[i].size; + } else { + bottom -= children[i].elem.height + children[i].elem.depth; + } + } + depth = bottom; + } else if (positionType === "bottom") { + depth = -positionData; + } else if (positionType === "shift") { + depth = -children[0].elem.depth - positionData; + } else if (positionType === "firstBaseline") { + depth = -children[0].elem.depth; + } else { + depth = 0; + } + + // Make the fontSizer + var maxFontSize = 0; + for (i = 0; i < children.length; i++) { + if (children[i].type === "elem") { + maxFontSize = Math.max(maxFontSize, children[i].elem.maxFontSize); + } + } + var fontSizer = makeFontSizer(options, maxFontSize); + + // Create a new list of actual children at the correct offsets + var realChildren = []; + currPos = depth; + for (i = 0; i < children.length; i++) { + if (children[i].type === "kern") { + currPos += children[i].size; + } else { + var child = children[i].elem; + + var shift = -child.depth - currPos; + currPos += child.height + child.depth; + + var childWrap = makeSpan([], [fontSizer, child]); + childWrap.height -= shift; + childWrap.depth += shift; + childWrap.style.top = shift + "em"; + + realChildren.push(childWrap); + } + } + + // Add in an element at the end with no offset to fix the calculation of + // baselines in some browsers (namely IE, sometimes safari) + var baselineFix = makeSpan( + ["baseline-fix"], [fontSizer, new domTree.symbolNode("\u200b")]); + realChildren.push(baselineFix); + + var vlist = makeSpan(["vlist"], realChildren); + // Fix the final height and depth, in case there were kerns at the ends + // since the makeSpan calculation won't take that in to account. + vlist.height = Math.max(currPos, vlist.height); + vlist.depth = Math.max(-depth, vlist.depth); + return vlist; +}; + +// A table of size -> font size for the different sizing functions +var sizingMultiplier = { + size1: 0.5, + size2: 0.7, + size3: 0.8, + size4: 0.9, + size5: 1.0, + size6: 1.2, + size7: 1.44, + size8: 1.73, + size9: 2.07, + size10: 2.49 +}; + +// A map of spacing functions to their attributes, like size and corresponding +// CSS class +var spacingFunctions = { + "\\qquad": { + size: "2em", + className: "qquad" + }, + "\\quad": { + size: "1em", + className: "quad" + }, + "\\enspace": { + size: "0.5em", + className: "enspace" + }, + "\\;": { + size: "0.277778em", + className: "thickspace" + }, + "\\:": { + size: "0.22222em", + className: "mediumspace" + }, + "\\,": { + size: "0.16667em", + className: "thinspace" + }, + "\\!": { + size: "-0.16667em", + className: "negativethinspace" + } +}; + +var greekCapitals = [ + "\\Gamma", + "\\Delta", + "\\Theta", + "\\Lambda", + "\\Xi", + "\\Pi", + "\\Sigma", + "\\Upsilon", + "\\Phi", + "\\Psi", + "\\Omega" +]; + +/** + * Maps TeX font commands to objects containing: + * - variant: string used for "mathvariant" attribute in buildMathML.js + * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics + */ +// A map between tex font commands an MathML mathvariant attribute values +var fontMap = { + // styles + "mathbf": { + variant: "bold", + fontName: "Main-Bold" + }, + "mathrm": { + variant: "normal", + fontName: "Main-Regular" + }, + + // families + "mathbb": { + variant: "double-struck", + fontName: "AMS-Regular" + }, + "mathcal": { + variant: "script", + fontName: "Caligraphic-Regular" + }, + "mathfrak": { + variant: "fraktur", + fontName: "Fraktur-Regular" + }, + "mathscr": { + variant: "script", + fontName: "Script-Regular" + }, + "mathsf": { + variant: "sans-serif", + fontName: "SansSerif-Regular" + }, + "mathtt": { + variant: "monospace", + fontName: "Typewriter-Regular" + } +}; + +module.exports = { + makeSymbol: makeSymbol, + fontMap: fontMap, + mathsym: mathsym, + makeSpan: makeSpan, + makeFragment: makeFragment, + makeVList: makeVList, + makeOrd: makeOrd, + sizingMultiplier: sizingMultiplier, + spacingFunctions: spacingFunctions +}; + +},{"./domTree":14,"./fontMetrics":16,"./symbols":21,"./utils":22}],10:[function(require,module,exports){ +/** + * This file does the main work of building a domTree structure from a parse + * tree. The entry point is the `buildHTML` function, which takes a parse tree. + * Then, the buildExpression, buildGroup, and various groupTypes functions are + * called, to produce a final HTML tree. + */ + +var Options = require("./Options"); +var ParseError = require("./ParseError"); +var Style = require("./Style"); + +var buildCommon = require("./buildCommon"); +var delimiter = require("./delimiter"); +var domTree = require("./domTree"); +var fontMetrics = require("./fontMetrics"); +var utils = require("./utils"); + +var makeSpan = buildCommon.makeSpan; + +/** + * Take a list of nodes, build them in order, and return a list of the built + * nodes. This function handles the `prev` node correctly, and passes the + * previous element from the list as the prev of the next element. + */ +var buildExpression = function(expression, options, prev) { + var groups = []; + for (var i = 0; i < expression.length; i++) { + var group = expression[i]; + groups.push(buildGroup(group, options, prev)); + prev = group; + } + return groups; +}; + +// List of types used by getTypeOfGroup +var groupToType = { + mathord: "mord", + textord: "mord", + bin: "mbin", + rel: "mrel", + text: "mord", + open: "mopen", + close: "mclose", + inner: "minner", + genfrac: "mord", + array: "minner", + spacing: "mord", + punct: "mpunct", + ordgroup: "mord", + op: "mop", + katex: "mord", + overline: "mord", + rule: "mord", + leftright: "minner", + sqrt: "mord", + accent: "mord" +}; + +/** + * Gets the final math type of an expression, given its group type. This type is + * used to determine spacing between elements, and affects bin elements by + * causing them to change depending on what types are around them. This type + * must be attached to the outermost node of an element as a CSS class so that + * spacing with its surrounding elements works correctly. + * + * Some elements can be mapped one-to-one from group type to math type, and + * those are listed in the `groupToType` table. + * + * Others (usually elements that wrap around other elements) often have + * recursive definitions, and thus call `getTypeOfGroup` on their inner + * elements. + */ +var getTypeOfGroup = function(group) { + if (group == null) { + // Like when typesetting $^3$ + return groupToType.mathord; + } else if (group.type === "supsub") { + return getTypeOfGroup(group.value.base); + } else if (group.type === "llap" || group.type === "rlap") { + return getTypeOfGroup(group.value); + } else if (group.type === "color") { + return getTypeOfGroup(group.value.value); + } else if (group.type === "sizing") { + return getTypeOfGroup(group.value.value); + } else if (group.type === "styling") { + return getTypeOfGroup(group.value.value); + } else if (group.type === "delimsizing") { + return groupToType[group.value.delimType]; + } else { + return groupToType[group.type]; + } +}; + +/** + * Sometimes, groups perform special rules when they have superscripts or + * subscripts attached to them. This function lets the `supsub` group know that + * its inner element should handle the superscripts and subscripts instead of + * handling them itself. + */ +var shouldHandleSupSub = function(group, options) { + if (!group) { + return false; + } else if (group.type === "op") { + // Operators handle supsubs differently when they have limits + // (e.g. `\displaystyle\sum_2^3`) + return group.value.limits && options.style.size === Style.DISPLAY.size; + } else if (group.type === "accent") { + return isCharacterBox(group.value.base); + } else { + return null; + } +}; + +/** + * Sometimes we want to pull out the innermost element of a group. In most + * cases, this will just be the group itself, but when ordgroups and colors have + * a single element, we want to pull that out. + */ +var getBaseElem = function(group) { + if (!group) { + return false; + } else if (group.type === "ordgroup") { + if (group.value.length === 1) { + return getBaseElem(group.value[0]); + } else { + return group; + } + } else if (group.type === "color") { + if (group.value.value.length === 1) { + return getBaseElem(group.value.value[0]); + } else { + return group; + } + } else { + return group; + } +}; + +/** + * TeXbook algorithms often reference "character boxes", which are simply groups + * with a single character in them. To decide if something is a character box, + * we find its innermost group, and see if it is a single character. + */ +var isCharacterBox = function(group) { + var baseElem = getBaseElem(group); + + // These are all they types of groups which hold single characters + return baseElem.type === "mathord" || + baseElem.type === "textord" || + baseElem.type === "bin" || + baseElem.type === "rel" || + baseElem.type === "inner" || + baseElem.type === "open" || + baseElem.type === "close" || + baseElem.type === "punct"; +}; + +var makeNullDelimiter = function(options) { + return makeSpan([ + "sizing", "reset-" + options.size, "size5", + options.style.reset(), Style.TEXT.cls(), + "nulldelimiter" + ]); +}; + +/** + * This is a map of group types to the function used to handle that type. + * Simpler types come at the beginning, while complicated types come afterwards. + */ +var groupTypes = { + mathord: function(group, options, prev) { + return buildCommon.makeOrd(group, options, "mathord"); + }, + + textord: function(group, options, prev) { + return buildCommon.makeOrd(group, options, "textord"); + }, + + bin: function(group, options, prev) { + var className = "mbin"; + // Pull out the most recent element. Do some special handling to find + // things at the end of a \color group. Note that we don't use the same + // logic for ordgroups (which count as ords). + var prevAtom = prev; + while (prevAtom && prevAtom.type === "color") { + var atoms = prevAtom.value.value; + prevAtom = atoms[atoms.length - 1]; + } + // See TeXbook pg. 442-446, Rules 5 and 6, and the text before Rule 19. + // Here, we determine whether the bin should turn into an ord. We + // currently only apply Rule 5. + if (!prev || utils.contains(["mbin", "mopen", "mrel", "mop", "mpunct"], + getTypeOfGroup(prevAtom))) { + group.type = "textord"; + className = "mord"; + } + + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), [className]); + }, + + rel: function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mrel"]); + }, + + open: function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mopen"]); + }, + + close: function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mclose"]); + }, + + inner: function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["minner"]); + }, + + punct: function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mpunct"]); + }, + + ordgroup: function(group, options, prev) { + return makeSpan( + ["mord", options.style.cls()], + buildExpression(group.value, options.reset()) + ); + }, + + text: function(group, options, prev) { + return makeSpan(["text", "mord", options.style.cls()], + buildExpression(group.value.body, options.reset())); + }, + + color: function(group, options, prev) { + var elements = buildExpression( + group.value.value, + options.withColor(group.value.color), + prev + ); + + // \color isn't supposed to affect the type of the elements it contains. + // To accomplish this, we wrap the results in a fragment, so the inner + // elements will be able to directly interact with their neighbors. For + // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3` + return new buildCommon.makeFragment(elements); + }, + + supsub: function(group, options, prev) { + // Superscript and subscripts are handled in the TeXbook on page + // 445-446, rules 18(a-f). + + // Here is where we defer to the inner group if it should handle + // superscripts and subscripts itself. + if (shouldHandleSupSub(group.value.base, options)) { + return groupTypes[group.value.base.type](group, options, prev); + } + + var base = buildGroup(group.value.base, options.reset()); + var supmid, submid, sup, sub; + + if (group.value.sup) { + sup = buildGroup(group.value.sup, + options.withStyle(options.style.sup())); + supmid = makeSpan( + [options.style.reset(), options.style.sup().cls()], [sup]); + } + + if (group.value.sub) { + sub = buildGroup(group.value.sub, + options.withStyle(options.style.sub())); + submid = makeSpan( + [options.style.reset(), options.style.sub().cls()], [sub]); + } + + // Rule 18a + var supShift, subShift; + if (isCharacterBox(group.value.base)) { + supShift = 0; + subShift = 0; + } else { + supShift = base.height - fontMetrics.metrics.supDrop; + subShift = base.depth + fontMetrics.metrics.subDrop; + } + + // Rule 18c + var minSupShift; + if (options.style === Style.DISPLAY) { + minSupShift = fontMetrics.metrics.sup1; + } else if (options.style.cramped) { + minSupShift = fontMetrics.metrics.sup3; + } else { + minSupShift = fontMetrics.metrics.sup2; + } + + // scriptspace is a font-size-independent size, so scale it + // appropriately + var multiplier = Style.TEXT.sizeMultiplier * + options.style.sizeMultiplier; + var scriptspace = + (0.5 / fontMetrics.metrics.ptPerEm) / multiplier + "em"; + + var supsub; + if (!group.value.sup) { + // Rule 18b + subShift = Math.max( + subShift, fontMetrics.metrics.sub1, + sub.height - 0.8 * fontMetrics.metrics.xHeight); + + supsub = buildCommon.makeVList([ + {type: "elem", elem: submid} + ], "shift", subShift, options); + + supsub.children[0].style.marginRight = scriptspace; + + // Subscripts shouldn't be shifted by the base's italic correction. + // Account for that by shifting the subscript back the appropriate + // amount. Note we only do this when the base is a single symbol. + if (base instanceof domTree.symbolNode) { + supsub.children[0].style.marginLeft = -base.italic + "em"; + } + } else if (!group.value.sub) { + // Rule 18c, d + supShift = Math.max(supShift, minSupShift, + sup.depth + 0.25 * fontMetrics.metrics.xHeight); + + supsub = buildCommon.makeVList([ + {type: "elem", elem: supmid} + ], "shift", -supShift, options); + + supsub.children[0].style.marginRight = scriptspace; + } else { + supShift = Math.max( + supShift, minSupShift, + sup.depth + 0.25 * fontMetrics.metrics.xHeight); + subShift = Math.max(subShift, fontMetrics.metrics.sub2); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness; + + // Rule 18e + if ((supShift - sup.depth) - (sub.height - subShift) < + 4 * ruleWidth) { + subShift = 4 * ruleWidth - (supShift - sup.depth) + sub.height; + var psi = 0.8 * fontMetrics.metrics.xHeight - + (supShift - sup.depth); + if (psi > 0) { + supShift += psi; + subShift -= psi; + } + } + + supsub = buildCommon.makeVList([ + {type: "elem", elem: submid, shift: subShift}, + {type: "elem", elem: supmid, shift: -supShift} + ], "individualShift", null, options); + + // See comment above about subscripts not being shifted + if (base instanceof domTree.symbolNode) { + supsub.children[0].style.marginLeft = -base.italic + "em"; + } + + supsub.children[0].style.marginRight = scriptspace; + supsub.children[1].style.marginRight = scriptspace; + } + + return makeSpan([getTypeOfGroup(group.value.base)], + [base, supsub]); + }, + + genfrac: function(group, options, prev) { + // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e). + // Figure out what style this fraction should be in based on the + // function used + var fstyle = options.style; + if (group.value.size === "display") { + fstyle = Style.DISPLAY; + } else if (group.value.size === "text") { + fstyle = Style.TEXT; + } + + var nstyle = fstyle.fracNum(); + var dstyle = fstyle.fracDen(); + + var numer = buildGroup(group.value.numer, options.withStyle(nstyle)); + var numerreset = makeSpan([fstyle.reset(), nstyle.cls()], [numer]); + + var denom = buildGroup(group.value.denom, options.withStyle(dstyle)); + var denomreset = makeSpan([fstyle.reset(), dstyle.cls()], [denom]); + + var ruleWidth; + if (group.value.hasBarLine) { + ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + } else { + ruleWidth = 0; + } + + // Rule 15b + var numShift; + var clearance; + var denomShift; + if (fstyle.size === Style.DISPLAY.size) { + numShift = fontMetrics.metrics.num1; + if (ruleWidth > 0) { + clearance = 3 * ruleWidth; + } else { + clearance = 7 * fontMetrics.metrics.defaultRuleThickness; + } + denomShift = fontMetrics.metrics.denom1; + } else { + if (ruleWidth > 0) { + numShift = fontMetrics.metrics.num2; + clearance = ruleWidth; + } else { + numShift = fontMetrics.metrics.num3; + clearance = 3 * fontMetrics.metrics.defaultRuleThickness; + } + denomShift = fontMetrics.metrics.denom2; + } + + var frac; + if (ruleWidth === 0) { + // Rule 15c + var candiateClearance = + (numShift - numer.depth) - (denom.height - denomShift); + if (candiateClearance < clearance) { + numShift += 0.5 * (clearance - candiateClearance); + denomShift += 0.5 * (clearance - candiateClearance); + } + + frac = buildCommon.makeVList([ + {type: "elem", elem: denomreset, shift: denomShift}, + {type: "elem", elem: numerreset, shift: -numShift} + ], "individualShift", null, options); + } else { + // Rule 15d + var axisHeight = fontMetrics.metrics.axisHeight; + + if ((numShift - numer.depth) - (axisHeight + 0.5 * ruleWidth) < + clearance) { + numShift += + clearance - ((numShift - numer.depth) - + (axisHeight + 0.5 * ruleWidth)); + } + + if ((axisHeight - 0.5 * ruleWidth) - (denom.height - denomShift) < + clearance) { + denomShift += + clearance - ((axisHeight - 0.5 * ruleWidth) - + (denom.height - denomShift)); + } + + var mid = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "frac-line"]); + // Manually set the height of the line because its height is + // created in CSS + mid.height = ruleWidth; + + var midShift = -(axisHeight - 0.5 * ruleWidth); + + frac = buildCommon.makeVList([ + {type: "elem", elem: denomreset, shift: denomShift}, + {type: "elem", elem: mid, shift: midShift}, + {type: "elem", elem: numerreset, shift: -numShift} + ], "individualShift", null, options); + } + + // Since we manually change the style sometimes (with \dfrac or \tfrac), + // account for the possible size change here. + frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier; + frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier; + + // Rule 15e + var delimSize; + if (fstyle.size === Style.DISPLAY.size) { + delimSize = fontMetrics.metrics.delim1; + } else { + delimSize = fontMetrics.metrics.getDelim2(fstyle); + } + + var leftDelim, rightDelim; + if (group.value.leftDelim == null) { + leftDelim = makeNullDelimiter(options); + } else { + leftDelim = delimiter.customSizedDelim( + group.value.leftDelim, delimSize, true, + options.withStyle(fstyle), group.mode); + } + if (group.value.rightDelim == null) { + rightDelim = makeNullDelimiter(options); + } else { + rightDelim = delimiter.customSizedDelim( + group.value.rightDelim, delimSize, true, + options.withStyle(fstyle), group.mode); + } + + return makeSpan( + ["mord", options.style.reset(), fstyle.cls()], + [leftDelim, makeSpan(["mfrac"], [frac]), rightDelim], + options.getColor()); + }, + + array: function(group, options, prev) { + var r, c; + var nr = group.value.body.length; + var nc = 0; + var body = new Array(nr); + + // Horizontal spacing + var pt = 1 / fontMetrics.metrics.ptPerEm; + var arraycolsep = 5 * pt; // \arraycolsep in article.cls + + // Vertical spacing + var baselineskip = 12 * pt; // see size10.clo + // Default \arraystretch from lttab.dtx + // TODO(gagern): may get redefined once we have user-defined macros + var arraystretch = utils.deflt(group.value.arraystretch, 1); + var arrayskip = arraystretch * baselineskip; + var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and + var arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx + + var totalHeight = 0; + for (r = 0; r < group.value.body.length; ++r) { + var inrow = group.value.body[r]; + var height = arstrutHeight; // \@array adds an \@arstrut + var depth = arstrutDepth; // to each tow (via the template) + if (nc < inrow.length) { + nc = inrow.length; + } + var outrow = new Array(inrow.length); + for (c = 0; c < inrow.length; ++c) { + var elt = buildGroup(inrow[c], options); + if (depth < elt.depth) { + depth = elt.depth; + } + if (height < elt.height) { + height = elt.height; + } + outrow[c] = elt; + } + var gap = 0; + if (group.value.rowGaps[r]) { + gap = group.value.rowGaps[r].value; + switch (gap.unit) { + case "em": + gap = gap.number; + break; + case "ex": + gap = gap.number * fontMetrics.metrics.emPerEx; + break; + default: + console.error("Can't handle unit " + gap.unit); + gap = 0; + } + if (gap > 0) { // \@argarraycr + gap += arstrutDepth; + if (depth < gap) { + depth = gap; // \@xargarraycr + } + gap = 0; + } + } + outrow.height = height; + outrow.depth = depth; + totalHeight += height; + outrow.pos = totalHeight; + totalHeight += depth + gap; // \@yargarraycr + body[r] = outrow; + } + var offset = totalHeight / 2 + fontMetrics.metrics.axisHeight; + var coldescriptions = group.value.cols || []; + var cols = []; + var colsep; + for (c = 0; c < nc; ++c) { + var coldescr = coldescriptions[c] || {}; + var sepwidth; + if (c > 0 || group.value.hskipBeforeAndAfter) { + sepwidth = utils.deflt(coldescr.pregap, arraycolsep); + if (sepwidth !== 0) { + colsep = makeSpan(["arraycolsep"], []); + colsep.style.width = sepwidth + "em"; + cols.push(colsep); + } + } + var col = []; + for (r = 0; r < nr; ++r) { + var row = body[r]; + var elem = row[c]; + if (!elem) { + continue; + } + var shift = row.pos - offset; + elem.depth = row.depth; + elem.height = row.height; + col.push({type: "elem", elem: elem, shift: shift}); + } + col = buildCommon.makeVList(col, "individualShift", null, options); + col = makeSpan( + ["col-align-" + (coldescr.align || "c")], + [col]); + cols.push(col); + if (c < nc - 1 || group.value.hskipBeforeAndAfter) { + sepwidth = utils.deflt(coldescr.postgap, arraycolsep); + if (sepwidth !== 0) { + colsep = makeSpan(["arraycolsep"], []); + colsep.style.width = sepwidth + "em"; + cols.push(colsep); + } + } + } + body = makeSpan(["mtable"], cols); + return makeSpan(["minner"], [body], options.getColor()); + }, + + spacing: function(group, options, prev) { + if (group.value === "\\ " || group.value === "\\space" || + group.value === " " || group.value === "~") { + // Spaces are generated by adding an actual space. Each of these + // things has an entry in the symbols table, so these will be turned + // into appropriate outputs. + return makeSpan( + ["mord", "mspace"], + [buildCommon.mathsym(group.value, group.mode)] + ); + } else { + // Other kinds of spaces are of arbitrary width. We use CSS to + // generate these. + return makeSpan( + ["mord", "mspace", + buildCommon.spacingFunctions[group.value].className]); + } + }, + + llap: function(group, options, prev) { + var inner = makeSpan( + ["inner"], [buildGroup(group.value.body, options.reset())]); + var fix = makeSpan(["fix"], []); + return makeSpan( + ["llap", options.style.cls()], [inner, fix]); + }, + + rlap: function(group, options, prev) { + var inner = makeSpan( + ["inner"], [buildGroup(group.value.body, options.reset())]); + var fix = makeSpan(["fix"], []); + return makeSpan( + ["rlap", options.style.cls()], [inner, fix]); + }, + + op: function(group, options, prev) { + // Operators are handled in the TeXbook pg. 443-444, rule 13(a). + var supGroup; + var subGroup; + var hasLimits = false; + if (group.type === "supsub" ) { + // If we have limits, supsub will pass us its group to handle. Pull + // out the superscript and subscript and set the group to the op in + // its base. + supGroup = group.value.sup; + subGroup = group.value.sub; + group = group.value.base; + hasLimits = true; + } + + // Most operators have a large successor symbol, but these don't. + var noSuccessor = [ + "\\smallint" + ]; + + var large = false; + if (options.style.size === Style.DISPLAY.size && + group.value.symbol && + !utils.contains(noSuccessor, group.value.body)) { + + // Most symbol operators get larger in displaystyle (rule 13) + large = true; + } + + var base; + var baseShift = 0; + var slant = 0; + if (group.value.symbol) { + // If this is a symbol, create the symbol. + var style = large ? "Size2-Regular" : "Size1-Regular"; + base = buildCommon.makeSymbol( + group.value.body, style, "math", options.getColor(), + ["op-symbol", large ? "large-op" : "small-op", "mop"]); + + // Shift the symbol so its center lies on the axis (rule 13). It + // appears that our fonts have the centers of the symbols already + // almost on the axis, so these numbers are very small. Note we + // don't actually apply this here, but instead it is used either in + // the vlist creation or separately when there are no limits. + baseShift = (base.height - base.depth) / 2 - + fontMetrics.metrics.axisHeight * + options.style.sizeMultiplier; + + // The slant of the symbol is just its italic correction. + slant = base.italic; + } else { + // Otherwise, this is a text operator. Build the text from the + // operator's name. + // TODO(emily): Add a space in the middle of some of these + // operators, like \limsup + var output = []; + for (var i = 1; i < group.value.body.length; i++) { + output.push(buildCommon.mathsym(group.value.body[i], group.mode)); + } + base = makeSpan(["mop"], output, options.getColor()); + } + + if (hasLimits) { + // IE 8 clips \int if it is in a display: inline-block. We wrap it + // in a new span so it is an inline, and works. + base = makeSpan([], [base]); + + var supmid, supKern, submid, subKern; + // We manually have to handle the superscripts and subscripts. This, + // aside from the kern calculations, is copied from supsub. + if (supGroup) { + var sup = buildGroup( + supGroup, options.withStyle(options.style.sup())); + supmid = makeSpan( + [options.style.reset(), options.style.sup().cls()], [sup]); + + supKern = Math.max( + fontMetrics.metrics.bigOpSpacing1, + fontMetrics.metrics.bigOpSpacing3 - sup.depth); + } + + if (subGroup) { + var sub = buildGroup( + subGroup, options.withStyle(options.style.sub())); + submid = makeSpan( + [options.style.reset(), options.style.sub().cls()], + [sub]); + + subKern = Math.max( + fontMetrics.metrics.bigOpSpacing2, + fontMetrics.metrics.bigOpSpacing4 - sub.height); + } + + // Build the final group as a vlist of the possible subscript, base, + // and possible superscript. + var finalGroup, top, bottom; + if (!supGroup) { + top = base.height - baseShift; + + finalGroup = buildCommon.makeVList([ + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}, + {type: "elem", elem: submid}, + {type: "kern", size: subKern}, + {type: "elem", elem: base} + ], "top", top, options); + + // Here, we shift the limits by the slant of the symbol. Note + // that we are supposed to shift the limits by 1/2 of the slant, + // but since we are centering the limits adding a full slant of + // margin will shift by 1/2 that. + finalGroup.children[0].style.marginLeft = -slant + "em"; + } else if (!subGroup) { + bottom = base.depth + baseShift; + + finalGroup = buildCommon.makeVList([ + {type: "elem", elem: base}, + {type: "kern", size: supKern}, + {type: "elem", elem: supmid}, + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5} + ], "bottom", bottom, options); + + // See comment above about slants + finalGroup.children[1].style.marginLeft = slant + "em"; + } else if (!supGroup && !subGroup) { + // This case probably shouldn't occur (this would mean the + // supsub was sending us a group with no superscript or + // subscript) but be safe. + return base; + } else { + bottom = fontMetrics.metrics.bigOpSpacing5 + + submid.height + submid.depth + + subKern + + base.depth + baseShift; + + finalGroup = buildCommon.makeVList([ + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}, + {type: "elem", elem: submid}, + {type: "kern", size: subKern}, + {type: "elem", elem: base}, + {type: "kern", size: supKern}, + {type: "elem", elem: supmid}, + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5} + ], "bottom", bottom, options); + + // See comment above about slants + finalGroup.children[0].style.marginLeft = -slant + "em"; + finalGroup.children[2].style.marginLeft = slant + "em"; + } + + return makeSpan(["mop", "op-limits"], [finalGroup]); + } else { + if (group.value.symbol) { + base.style.top = baseShift + "em"; + } + + return base; + } + }, + + katex: function(group, options, prev) { + // The KaTeX logo. The offsets for the K and a were chosen to look + // good, but the offsets for the T, E, and X were taken from the + // definition of \TeX in TeX (see TeXbook pg. 356) + var k = makeSpan( + ["k"], [buildCommon.mathsym("K", group.mode)]); + var a = makeSpan( + ["a"], [buildCommon.mathsym("A", group.mode)]); + + a.height = (a.height + 0.2) * 0.75; + a.depth = (a.height - 0.2) * 0.75; + + var t = makeSpan( + ["t"], [buildCommon.mathsym("T", group.mode)]); + var e = makeSpan( + ["e"], [buildCommon.mathsym("E", group.mode)]); + + e.height = (e.height - 0.2155); + e.depth = (e.depth + 0.2155); + + var x = makeSpan( + ["x"], [buildCommon.mathsym("X", group.mode)]); + + return makeSpan( + ["katex-logo"], [k, a, t, e, x], options.getColor()); + }, + + overline: function(group, options, prev) { + // Overlines are handled in the TeXbook pg 443, Rule 9. + + // Build the inner group in the cramped style. + var innerGroup = buildGroup(group.value.body, + options.withStyle(options.style.cramp())); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + + // Create the line above the body + var line = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "overline-line"]); + line.height = ruleWidth; + line.maxFontSize = 1.0; + + // Generate the vlist, with the appropriate kerns + var vlist = buildCommon.makeVList([ + {type: "elem", elem: innerGroup}, + {type: "kern", size: 3 * ruleWidth}, + {type: "elem", elem: line}, + {type: "kern", size: ruleWidth} + ], "firstBaseline", null, options); + + return makeSpan(["overline", "mord"], [vlist], options.getColor()); + }, + + sqrt: function(group, options, prev) { + // Square roots are handled in the TeXbook pg. 443, Rule 11. + + // First, we do the same steps as in overline to build the inner group + // and line + var inner = buildGroup(group.value.body, + options.withStyle(options.style.cramp())); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + + var line = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "sqrt-line"], [], + options.getColor()); + line.height = ruleWidth; + line.maxFontSize = 1.0; + + var phi = ruleWidth; + if (options.style.id < Style.TEXT.id) { + phi = fontMetrics.metrics.xHeight; + } + + // Calculate the clearance between the body and line + var lineClearance = ruleWidth + phi / 4; + + var innerHeight = + (inner.height + inner.depth) * options.style.sizeMultiplier; + var minDelimiterHeight = innerHeight + lineClearance + ruleWidth; + + // Create a \surd delimiter of the required minimum size + var delim = makeSpan(["sqrt-sign"], [ + delimiter.customSizedDelim("\\surd", minDelimiterHeight, + false, options, group.mode)], + options.getColor()); + + var delimDepth = (delim.height + delim.depth) - ruleWidth; + + // Adjust the clearance based on the delimiter size + if (delimDepth > inner.height + inner.depth + lineClearance) { + lineClearance = + (lineClearance + delimDepth - inner.height - inner.depth) / 2; + } + + // Shift the delimiter so that its top lines up with the top of the line + var delimShift = -(inner.height + lineClearance + ruleWidth) + delim.height; + delim.style.top = delimShift + "em"; + delim.height -= delimShift; + delim.depth += delimShift; + + // We add a special case here, because even when `inner` is empty, we + // still get a line. So, we use a simple heuristic to decide if we + // should omit the body entirely. (note this doesn't work for something + // like `\sqrt{\rlap{x}}`, but if someone is doing that they deserve for + // it not to work. + var body; + if (inner.height === 0 && inner.depth === 0) { + body = makeSpan(); + } else { + body = buildCommon.makeVList([ + {type: "elem", elem: inner}, + {type: "kern", size: lineClearance}, + {type: "elem", elem: line}, + {type: "kern", size: ruleWidth} + ], "firstBaseline", null, options); + } + + if (!group.value.index) { + return makeSpan(["sqrt", "mord"], [delim, body]); + } else { + // Handle the optional root index + + // The index is always in scriptscript style + var root = buildGroup( + group.value.index, + options.withStyle(Style.SCRIPTSCRIPT)); + var rootWrap = makeSpan( + [options.style.reset(), Style.SCRIPTSCRIPT.cls()], + [root]); + + // Figure out the height and depth of the inner part + var innerRootHeight = Math.max(delim.height, body.height); + var innerRootDepth = Math.max(delim.depth, body.depth); + + // The amount the index is shifted by. This is taken from the TeX + // source, in the definition of `\r@@t`. + var toShift = 0.6 * (innerRootHeight - innerRootDepth); + + // Build a VList with the superscript shifted up correctly + var rootVList = buildCommon.makeVList( + [{type: "elem", elem: rootWrap}], + "shift", -toShift, options); + // Add a class surrounding it so we can add on the appropriate + // kerning + var rootVListWrap = makeSpan(["root"], [rootVList]); + + return makeSpan(["sqrt", "mord"], [rootVListWrap, delim, body]); + } + }, + + sizing: function(group, options, prev) { + // Handle sizing operators like \Huge. Real TeX doesn't actually allow + // these functions inside of math expressions, so we do some special + // handling. + var inner = buildExpression(group.value.value, + options.withSize(group.value.size), prev); + + var span = makeSpan(["mord"], + [makeSpan(["sizing", "reset-" + options.size, group.value.size, + options.style.cls()], + inner)]); + + // Calculate the correct maxFontSize manually + var fontSize = buildCommon.sizingMultiplier[group.value.size]; + span.maxFontSize = fontSize * options.style.sizeMultiplier; + + return span; + }, + + styling: function(group, options, prev) { + // Style changes are handled in the TeXbook on pg. 442, Rule 3. + + // Figure out what style we're changing to. + var style = { + "display": Style.DISPLAY, + "text": Style.TEXT, + "script": Style.SCRIPT, + "scriptscript": Style.SCRIPTSCRIPT + }; + + var newStyle = style[group.value.style]; + + // Build the inner expression in the new style. + var inner = buildExpression( + group.value.value, options.withStyle(newStyle), prev); + + return makeSpan([options.style.reset(), newStyle.cls()], inner); + }, + + font: function(group, options, prev) { + var font = group.value.font; + return buildGroup(group.value.body, options.withFont(font), prev); + }, + + delimsizing: function(group, options, prev) { + var delim = group.value.value; + + if (delim === ".") { + // Empty delimiters still count as elements, even though they don't + // show anything. + return makeSpan([groupToType[group.value.delimType]]); + } + + // Use delimiter.sizedDelim to generate the delimiter. + return makeSpan( + [groupToType[group.value.delimType]], + [delimiter.sizedDelim( + delim, group.value.size, options, group.mode)]); + }, + + leftright: function(group, options, prev) { + // Build the inner expression + var inner = buildExpression(group.value.body, options.reset()); + + var innerHeight = 0; + var innerDepth = 0; + + // Calculate its height and depth + for (var i = 0; i < inner.length; i++) { + innerHeight = Math.max(inner[i].height, innerHeight); + innerDepth = Math.max(inner[i].depth, innerDepth); + } + + // The size of delimiters is the same, regardless of what style we are + // in. Thus, to correctly calculate the size of delimiter we need around + // a group, we scale down the inner size based on the size. + innerHeight *= options.style.sizeMultiplier; + innerDepth *= options.style.sizeMultiplier; + + var leftDelim; + if (group.value.left === ".") { + // Empty delimiters in \left and \right make null delimiter spaces. + leftDelim = makeNullDelimiter(options); + } else { + // Otherwise, use leftRightDelim to generate the correct sized + // delimiter. + leftDelim = delimiter.leftRightDelim( + group.value.left, innerHeight, innerDepth, options, + group.mode); + } + // Add it to the beginning of the expression + inner.unshift(leftDelim); + + var rightDelim; + // Same for the right delimiter + if (group.value.right === ".") { + rightDelim = makeNullDelimiter(options); + } else { + rightDelim = delimiter.leftRightDelim( + group.value.right, innerHeight, innerDepth, options, + group.mode); + } + // Add it to the end of the expression. + inner.push(rightDelim); + + return makeSpan( + ["minner", options.style.cls()], inner, options.getColor()); + }, + + rule: function(group, options, prev) { + // Make an empty span for the rule + var rule = makeSpan(["mord", "rule"], [], options.getColor()); + + // Calculate the shift, width, and height of the rule, and account for units + var shift = 0; + if (group.value.shift) { + shift = group.value.shift.number; + if (group.value.shift.unit === "ex") { + shift *= fontMetrics.metrics.xHeight; + } + } + + var width = group.value.width.number; + if (group.value.width.unit === "ex") { + width *= fontMetrics.metrics.xHeight; + } + + var height = group.value.height.number; + if (group.value.height.unit === "ex") { + height *= fontMetrics.metrics.xHeight; + } + + // The sizes of rules are absolute, so make it larger if we are in a + // smaller style. + shift /= options.style.sizeMultiplier; + width /= options.style.sizeMultiplier; + height /= options.style.sizeMultiplier; + + // Style the rule to the right size + rule.style.borderRightWidth = width + "em"; + rule.style.borderTopWidth = height + "em"; + rule.style.bottom = shift + "em"; + + // Record the height and width + rule.width = width; + rule.height = height + shift; + rule.depth = -shift; + + return rule; + }, + + accent: function(group, options, prev) { + // Accents are handled in the TeXbook pg. 443, rule 12. + var base = group.value.base; + + var supsubGroup; + if (group.type === "supsub") { + // If our base is a character box, and we have superscripts and + // subscripts, the supsub will defer to us. In particular, we want + // to attach the superscripts and subscripts to the inner body (so + // that the position of the superscripts and subscripts won't be + // affected by the height of the accent). We accomplish this by + // sticking the base of the accent into the base of the supsub, and + // rendering that, while keeping track of where the accent is. + + // The supsub group is the group that was passed in + var supsub = group; + // The real accent group is the base of the supsub group + group = supsub.value.base; + // The character box is the base of the accent group + base = group.value.base; + // Stick the character box into the base of the supsub group + supsub.value.base = base; + + // Rerender the supsub group with its new base, and store that + // result. + supsubGroup = buildGroup( + supsub, options.reset(), prev); + } + + // Build the base group + var body = buildGroup( + base, options.withStyle(options.style.cramp())); + + // Calculate the skew of the accent. This is based on the line "If the + // nucleus is not a single character, let s = 0; otherwise set s to the + // kern amount for the nucleus followed by the \skewchar of its font." + // Note that our skew metrics are just the kern between each character + // and the skewchar. + var skew; + if (isCharacterBox(base)) { + // If the base is a character box, then we want the skew of the + // innermost character. To do that, we find the innermost character: + var baseChar = getBaseElem(base); + // Then, we render its group to get the symbol inside it + var baseGroup = buildGroup( + baseChar, options.withStyle(options.style.cramp())); + // Finally, we pull the skew off of the symbol. + skew = baseGroup.skew; + // Note that we now throw away baseGroup, because the layers we + // removed with getBaseElem might contain things like \color which + // we can't get rid of. + // TODO(emily): Find a better way to get the skew + } else { + skew = 0; + } + + // calculate the amount of space between the body and the accent + var clearance = Math.min(body.height, fontMetrics.metrics.xHeight); + + // Build the accent + var accent = buildCommon.makeSymbol( + group.value.accent, "Main-Regular", "math", options.getColor()); + // Remove the italic correction of the accent, because it only serves to + // shift the accent over to a place we don't want. + accent.italic = 0; + + // The \vec character that the fonts use is a combining character, and + // thus shows up much too far to the left. To account for this, we add a + // specific class which shifts the accent over to where we want it. + // TODO(emily): Fix this in a better way, like by changing the font + var vecClass = group.value.accent === "\\vec" ? "accent-vec" : null; + + var accentBody = makeSpan(["accent-body", vecClass], [ + makeSpan([], [accent])]); + + accentBody = buildCommon.makeVList([ + {type: "elem", elem: body}, + {type: "kern", size: -clearance}, + {type: "elem", elem: accentBody} + ], "firstBaseline", null, options); + + // Shift the accent over by the skew. Note we shift by twice the skew + // because we are centering the accent, so by adding 2*skew to the left, + // we shift it to the right by 1*skew. + accentBody.children[1].style.marginLeft = 2 * skew + "em"; + + var accentWrap = makeSpan(["mord", "accent"], [accentBody]); + + if (supsubGroup) { + // Here, we replace the "base" child of the supsub with our newly + // generated accent. + supsubGroup.children[0] = accentWrap; + + // Since we don't rerun the height calculation after replacing the + // accent, we manually recalculate height. + supsubGroup.height = Math.max(accentWrap.height, supsubGroup.height); + + // Accents should always be ords, even when their innards are not. + supsubGroup.classes[0] = "mord"; + + return supsubGroup; + } else { + return accentWrap; + } + }, + + phantom: function(group, options, prev) { + var elements = buildExpression( + group.value.value, + options.withPhantom(), + prev + ); + + // \phantom isn't supposed to affect the elements it contains. + // See "color" for more details. + return new buildCommon.makeFragment(elements); + } +}; + +/** + * buildGroup is the function that takes a group and calls the correct groupType + * function for it. It also handles the interaction of size and style changes + * between parents and children. + */ +var buildGroup = function(group, options, prev) { + if (!group) { + return makeSpan(); + } + + if (groupTypes[group.type]) { + // Call the groupTypes function + var groupNode = groupTypes[group.type](group, options, prev); + var multiplier; + + // If the style changed between the parent and the current group, + // account for the size difference + if (options.style !== options.parentStyle) { + multiplier = options.style.sizeMultiplier / + options.parentStyle.sizeMultiplier; + + groupNode.height *= multiplier; + groupNode.depth *= multiplier; + } + + // If the size changed between the parent and the current group, account + // for that size difference. + if (options.size !== options.parentSize) { + multiplier = buildCommon.sizingMultiplier[options.size] / + buildCommon.sizingMultiplier[options.parentSize]; + + groupNode.height *= multiplier; + groupNode.depth *= multiplier; + } + + return groupNode; + } else { + throw new ParseError( + "Got group of unknown type: '" + group.type + "'"); + } +}; + +/** + * Take an entire parse tree, and build it into an appropriate set of HTML + * nodes. + */ +var buildHTML = function(tree, settings) { + // buildExpression is destructive, so we need to make a clone + // of the incoming tree so that it isn't accidentally changed + tree = JSON.parse(JSON.stringify(tree)); + + var startStyle = Style.TEXT; + if (settings.displayMode) { + startStyle = Style.DISPLAY; + } + + // Setup the default options + var options = new Options({ + style: startStyle, + size: "size5" + }); + + // Build the expression contained in the tree + var expression = buildExpression(tree, options); + var body = makeSpan(["base", options.style.cls()], expression); + + // Add struts, which ensure that the top of the HTML element falls at the + // height of the expression, and the bottom of the HTML element falls at the + // depth of the expression. + var topStrut = makeSpan(["strut"]); + var bottomStrut = makeSpan(["strut", "bottom"]); + + topStrut.style.height = body.height + "em"; + bottomStrut.style.height = (body.height + body.depth) + "em"; + // We'd like to use `vertical-align: top` but in IE 9 this lowers the + // baseline of the box to the bottom of this strut (instead staying in the + // normal place) so we use an absolute value for vertical-align instead + bottomStrut.style.verticalAlign = -body.depth + "em"; + + // Wrap the struts and body together + var htmlNode = makeSpan(["katex-html"], [topStrut, bottomStrut, body]); + + htmlNode.setAttribute("aria-hidden", "true"); + + return htmlNode; +}; + +module.exports = buildHTML; + +},{"./Options":4,"./ParseError":5,"./Style":8,"./buildCommon":9,"./delimiter":13,"./domTree":14,"./fontMetrics":16,"./utils":22}],11:[function(require,module,exports){ +/** + * This file converts a parse tree into a cooresponding MathML tree. The main + * entry point is the `buildMathML` function, which takes a parse tree from the + * parser. + */ + +var buildCommon = require("./buildCommon"); +var fontMetrics = require("./fontMetrics"); +var mathMLTree = require("./mathMLTree"); +var Options = require("./Options"); +var ParseError = require("./ParseError"); +var Settings = require("../src/Settings"); +var Style = require("./Style"); +var symbols = require("./symbols"); +var utils = require("./utils"); + +var makeSpan = buildCommon.makeSpan; +var fontMap = buildCommon.fontMap; + +/** + * Takes a symbol and converts it into a MathML text node after performing + * optional replacement from symbols.js. + */ +var makeText = function(text, mode) { + if (symbols[mode][text] && symbols[mode][text].replace) { + text = symbols[mode][text].replace; + } + + return new mathMLTree.TextNode(text); +}; + +/** + * Returns the math variant as a string or null if none is required. + */ +var getVariant = function(group, options) { + var font = options.font; + if (!font) { + return null; + } + + var mode = group.mode; + if (font === "mathit") { + return "italic"; + } + + var value = group.value; + if (utils.contains(["\\imath", "\\jmath"], value)) { + return null; + } + + if (symbols[mode][value] && symbols[mode][value].replace) { + value = symbols[mode][value].replace; + } + + var fontName = fontMap[font].fontName; + if (fontMetrics.getCharacterMetrics(value, fontName)) { + return fontMap[options.font].variant; + } + + return null; +}; + +/** + * Functions for handling the different types of groups found in the parse + * tree. Each function should take a parse group and return a MathML node. + */ +var groupTypes = { + mathord: function(group, options) { + var node = new mathMLTree.MathNode( + "mi", + [makeText(group.value, group.mode)]); + + var variant = getVariant(group, options); + if (variant) { + node.setAttribute("mathvariant", variant); + } + return node; + }, + + textord: function(group, options) { + var text = makeText(group.value, group.mode); + + var variant = getVariant(group, options) || "normal"; + + var node; + if (/[0-9]/.test(group.value)) { + // TODO(kevinb) merge adjacent <mn> nodes + // do it as a post processing step + node = new mathMLTree.MathNode("mn", [text]); + if (options.font) { + node.setAttribute("mathvariant", variant); + } + } else { + node = new mathMLTree.MathNode("mi", [text]); + node.setAttribute("mathvariant", variant); + } + + return node; + }, + + bin: function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; + }, + + rel: function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; + }, + + open: function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; + }, + + close: function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; + }, + + inner: function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; + }, + + punct: function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + node.setAttribute("separator", "true"); + + return node; + }, + + ordgroup: function(group, options) { + var inner = buildExpression(group.value, options); + + var node = new mathMLTree.MathNode("mrow", inner); + + return node; + }, + + text: function(group, options) { + var inner = buildExpression(group.value.body, options); + + var node = new mathMLTree.MathNode("mtext", inner); + + return node; + }, + + color: function(group, options) { + var inner = buildExpression(group.value.value, options); + + var node = new mathMLTree.MathNode("mstyle", inner); + + node.setAttribute("mathcolor", group.value.color); + + return node; + }, + + supsub: function(group, options) { + var children = [buildGroup(group.value.base, options)]; + + if (group.value.sub) { + children.push(buildGroup(group.value.sub, options)); + } + + if (group.value.sup) { + children.push(buildGroup(group.value.sup, options)); + } + + var nodeType; + if (!group.value.sub) { + nodeType = "msup"; + } else if (!group.value.sup) { + nodeType = "msub"; + } else { + nodeType = "msubsup"; + } + + var node = new mathMLTree.MathNode(nodeType, children); + + return node; + }, + + genfrac: function(group, options) { + var node = new mathMLTree.MathNode( + "mfrac", + [buildGroup(group.value.numer, options), + buildGroup(group.value.denom, options)]); + + if (!group.value.hasBarLine) { + node.setAttribute("linethickness", "0px"); + } + + if (group.value.leftDelim != null || group.value.rightDelim != null) { + var withDelims = []; + + if (group.value.leftDelim != null) { + var leftOp = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode(group.value.leftDelim)]); + + leftOp.setAttribute("fence", "true"); + + withDelims.push(leftOp); + } + + withDelims.push(node); + + if (group.value.rightDelim != null) { + var rightOp = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode(group.value.rightDelim)]); + + rightOp.setAttribute("fence", "true"); + + withDelims.push(rightOp); + } + + var outerNode = new mathMLTree.MathNode("mrow", withDelims); + + return outerNode; + } + + return node; + }, + + array: function(group, options) { + return new mathMLTree.MathNode( + "mtable", group.value.body.map(function(row) { + return new mathMLTree.MathNode( + "mtr", row.map(function(cell) { + return new mathMLTree.MathNode( + "mtd", [buildGroup(cell, options)]); + })); + })); + }, + + sqrt: function(group, options) { + var node; + if (group.value.index) { + node = new mathMLTree.MathNode( + "mroot", [ + buildGroup(group.value.body, options), + buildGroup(group.value.index, options) + ]); + } else { + node = new mathMLTree.MathNode( + "msqrt", [buildGroup(group.value.body, options)]); + } + + return node; + }, + + leftright: function(group, options) { + var inner = buildExpression(group.value.body, options); + + if (group.value.left !== ".") { + var leftNode = new mathMLTree.MathNode( + "mo", [makeText(group.value.left, group.mode)]); + + leftNode.setAttribute("fence", "true"); + + inner.unshift(leftNode); + } + + if (group.value.right !== ".") { + var rightNode = new mathMLTree.MathNode( + "mo", [makeText(group.value.right, group.mode)]); + + rightNode.setAttribute("fence", "true"); + + inner.push(rightNode); + } + + var outerNode = new mathMLTree.MathNode("mrow", inner); + + return outerNode; + }, + + accent: function(group, options) { + var accentNode = new mathMLTree.MathNode( + "mo", [makeText(group.value.accent, group.mode)]); + + var node = new mathMLTree.MathNode( + "mover", + [buildGroup(group.value.base, options), + accentNode]); + + node.setAttribute("accent", "true"); + + return node; + }, + + spacing: function(group) { + var node; + + if (group.value === "\\ " || group.value === "\\space" || + group.value === " " || group.value === "~") { + node = new mathMLTree.MathNode( + "mtext", [new mathMLTree.TextNode("\u00a0")]); + } else { + node = new mathMLTree.MathNode("mspace"); + + node.setAttribute( + "width", buildCommon.spacingFunctions[group.value].size); + } + + return node; + }, + + op: function(group) { + var node; + + // TODO(emily): handle big operators using the `largeop` attribute + + if (group.value.symbol) { + // This is a symbol. Just add the symbol. + node = new mathMLTree.MathNode( + "mo", [makeText(group.value.body, group.mode)]); + } else { + // This is a text operator. Add all of the characters from the + // operator's name. + // TODO(emily): Add a space in the middle of some of these + // operators, like \limsup. + node = new mathMLTree.MathNode( + "mi", [new mathMLTree.TextNode(group.value.body.slice(1))]); + } + + return node; + }, + + katex: function(group) { + var node = new mathMLTree.MathNode( + "mtext", [new mathMLTree.TextNode("KaTeX")]); + + return node; + }, + + font: function(group, options) { + var font = group.value.font; + var node = buildGroup(group.value.body, options.withFont(font)); + return node; + }, + + delimsizing: function(group) { + var children = []; + + if (group.value.value !== ".") { + children.push(makeText(group.value.value, group.mode)); + } + + var node = new mathMLTree.MathNode("mo", children); + + if (group.value.delimType === "open" || + group.value.delimType === "close") { + // Only some of the delimsizing functions act as fences, and they + // return "open" or "close" delimTypes. + node.setAttribute("fence", "true"); + } else { + // Explicitly disable fencing if it's not a fence, to override the + // defaults. + node.setAttribute("fence", "false"); + } + + return node; + }, + + styling: function(group, options) { + var inner = buildExpression(group.value.value, options); + + var node = new mathMLTree.MathNode("mstyle", inner); + + var styleAttributes = { + "display": ["0", "true"], + "text": ["0", "false"], + "script": ["1", "false"], + "scriptscript": ["2", "false"] + }; + + var attr = styleAttributes[group.value.style]; + + node.setAttribute("scriptlevel", attr[0]); + node.setAttribute("displaystyle", attr[1]); + + return node; + }, + + sizing: function(group, options) { + var inner = buildExpression(group.value.value, options); + + var node = new mathMLTree.MathNode("mstyle", inner); + + // TODO(emily): This doesn't produce the correct size for nested size + // changes, because we don't keep state of what style we're currently + // in, so we can't reset the size to normal before changing it. Now + // that we're passing an options parameter we should be able to fix + // this. + node.setAttribute( + "mathsize", buildCommon.sizingMultiplier[group.value.size] + "em"); + + return node; + }, + + overline: function(group, options) { + var operator = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode("\u203e")]); + operator.setAttribute("stretchy", "true"); + + var node = new mathMLTree.MathNode( + "mover", + [buildGroup(group.value.body, options), + operator]); + node.setAttribute("accent", "true"); + + return node; + }, + + rule: function(group) { + // TODO(emily): Figure out if there's an actual way to draw black boxes + // in MathML. + var node = new mathMLTree.MathNode("mrow"); + + return node; + }, + + llap: function(group, options) { + var node = new mathMLTree.MathNode( + "mpadded", [buildGroup(group.value.body, options)]); + + node.setAttribute("lspace", "-1width"); + node.setAttribute("width", "0px"); + + return node; + }, + + rlap: function(group, options) { + var node = new mathMLTree.MathNode( + "mpadded", [buildGroup(group.value.body, options)]); + + node.setAttribute("width", "0px"); + + return node; + }, + + phantom: function(group, options, prev) { + var inner = buildExpression(group.value.value, options); + return new mathMLTree.MathNode("mphantom", inner); + } +}; + +/** + * Takes a list of nodes, builds them, and returns a list of the generated + * MathML nodes. A little simpler than the HTML version because we don't do any + * previous-node handling. + */ +var buildExpression = function(expression, options) { + var groups = []; + for (var i = 0; i < expression.length; i++) { + var group = expression[i]; + groups.push(buildGroup(group, options)); + } + return groups; +}; + +/** + * Takes a group from the parser and calls the appropriate groupTypes function + * on it to produce a MathML node. + */ +var buildGroup = function(group, options) { + if (!group) { + return new mathMLTree.MathNode("mrow"); + } + + if (groupTypes[group.type]) { + // Call the groupTypes function + return groupTypes[group.type](group, options); + } else { + throw new ParseError( + "Got group of unknown type: '" + group.type + "'"); + } +}; + +/** + * Takes a full parse tree and settings and builds a MathML representation of + * it. In particular, we put the elements from building the parse tree into a + * <semantics> tag so we can also include that TeX source as an annotation. + * + * Note that we actually return a domTree element with a `<math>` inside it so + * we can do appropriate styling. + */ +var buildMathML = function(tree, texExpression, settings) { + settings = settings || new Settings({}); + + var startStyle = Style.TEXT; + if (settings.displayMode) { + startStyle = Style.DISPLAY; + } + + // Setup the default options + var options = new Options({ + style: startStyle, + size: "size5" + }); + + var expression = buildExpression(tree, options); + + // Wrap up the expression in an mrow so it is presented in the semantics + // tag correctly. + var wrapper = new mathMLTree.MathNode("mrow", expression); + + // Build a TeX annotation of the source + var annotation = new mathMLTree.MathNode( + "annotation", [new mathMLTree.TextNode(texExpression)]); + + annotation.setAttribute("encoding", "application/x-tex"); + + var semantics = new mathMLTree.MathNode( + "semantics", [wrapper, annotation]); + + var math = new mathMLTree.MathNode("math", [semantics]); + + // You can't style <math> nodes, so we wrap the node in a span. + return makeSpan(["katex-mathml"], [math]); +}; + +module.exports = buildMathML; + +},{"../src/Settings":7,"./Options":4,"./ParseError":5,"./Style":8,"./buildCommon":9,"./fontMetrics":16,"./mathMLTree":18,"./symbols":21,"./utils":22}],12:[function(require,module,exports){ + +var buildHTML = require("./buildHTML"); +var buildMathML = require("./buildMathML"); +var buildCommon = require("./buildCommon"); + +var makeSpan = buildCommon.makeSpan; + +var buildTree = function(tree, expression, settings) { + // `buildHTML` sometimes messes with the parse tree (like turning bins -> + // ords), so we build the MathML version first. + var mathMLNode = buildMathML(tree, expression, settings); + var htmlNode = buildHTML(tree, settings); + + var katexNode = makeSpan(["katex"], [ + mathMLNode, htmlNode + ]); + + if (settings.displayMode) { + return makeSpan(["katex-display"], [katexNode]); + } else { + return katexNode; + } +}; + +module.exports = buildTree; + +},{"./buildCommon":9,"./buildHTML":10,"./buildMathML":11}],13:[function(require,module,exports){ +/** + * This file deals with creating delimiters of various sizes. The TeXbook + * discusses these routines on page 441-442, in the "Another subroutine sets box + * x to a specified variable delimiter" paragraph. + * + * There are three main routines here. `makeSmallDelim` makes a delimiter in the + * normal font, but in either text, script, or scriptscript style. + * `makeLargeDelim` makes a delimiter in textstyle, but in one of the Size1, + * Size2, Size3, or Size4 fonts. `makeStackedDelim` makes a delimiter out of + * smaller pieces that are stacked on top of one another. + * + * The functions take a parameter `center`, which determines if the delimiter + * should be centered around the axis. + * + * Then, there are three exposed functions. `sizedDelim` makes a delimiter in + * one of the given sizes. This is used for things like `\bigl`. + * `customSizedDelim` makes a delimiter with a given total height+depth. It is + * called in places like `\sqrt`. `leftRightDelim` makes an appropriate + * delimiter which surrounds an expression of a given height an depth. It is + * used in `\left` and `\right`. + */ + +var ParseError = require("./ParseError"); +var Style = require("./Style"); + +var buildCommon = require("./buildCommon"); +var fontMetrics = require("./fontMetrics"); +var symbols = require("./symbols"); +var utils = require("./utils"); + +var makeSpan = buildCommon.makeSpan; + +/** + * Get the metrics for a given symbol and font, after transformation (i.e. + * after following replacement from symbols.js) + */ +var getMetrics = function(symbol, font) { + if (symbols.math[symbol] && symbols.math[symbol].replace) { + return fontMetrics.getCharacterMetrics( + symbols.math[symbol].replace, font); + } else { + return fontMetrics.getCharacterMetrics( + symbol, font); + } +}; + +/** + * Builds a symbol in the given font size (note size is an integer) + */ +var mathrmSize = function(value, size, mode) { + return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode); +}; + +/** + * Puts a delimiter span in a given style, and adds appropriate height, depth, + * and maxFontSizes. + */ +var styleWrap = function(delim, toStyle, options) { + var span = makeSpan( + ["style-wrap", options.style.reset(), toStyle.cls()], [delim]); + + var multiplier = toStyle.sizeMultiplier / options.style.sizeMultiplier; + + span.height *= multiplier; + span.depth *= multiplier; + span.maxFontSize = toStyle.sizeMultiplier; + + return span; +}; + +/** + * Makes a small delimiter. This is a delimiter that comes in the Main-Regular + * font, but is restyled to either be in textstyle, scriptstyle, or + * scriptscriptstyle. + */ +var makeSmallDelim = function(delim, style, center, options, mode) { + var text = buildCommon.makeSymbol(delim, "Main-Regular", mode); + + var span = styleWrap(text, style, options); + + if (center) { + var shift = + (1 - options.style.sizeMultiplier / style.sizeMultiplier) * + fontMetrics.metrics.axisHeight; + + span.style.top = shift + "em"; + span.height -= shift; + span.depth += shift; + } + + return span; +}; + +/** + * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2, + * Size3, or Size4 fonts. It is always rendered in textstyle. + */ +var makeLargeDelim = function(delim, size, center, options, mode) { + var inner = mathrmSize(delim, size, mode); + + var span = styleWrap( + makeSpan(["delimsizing", "size" + size], + [inner], options.getColor()), + Style.TEXT, options); + + if (center) { + var shift = (1 - options.style.sizeMultiplier) * + fontMetrics.metrics.axisHeight; + + span.style.top = shift + "em"; + span.height -= shift; + span.depth += shift; + } + + return span; +}; + +/** + * Make an inner span with the given offset and in the given font. This is used + * in `makeStackedDelim` to make the stacking pieces for the delimiter. + */ +var makeInner = function(symbol, font, mode) { + var sizeClass; + // Apply the correct CSS class to choose the right font. + if (font === "Size1-Regular") { + sizeClass = "delim-size1"; + } else if (font === "Size4-Regular") { + sizeClass = "delim-size4"; + } + + var inner = makeSpan( + ["delimsizinginner", sizeClass], + [makeSpan([], [buildCommon.makeSymbol(symbol, font, mode)])]); + + // Since this will be passed into `makeVList` in the end, wrap the element + // in the appropriate tag that VList uses. + return {type: "elem", elem: inner}; +}; + +/** + * Make a stacked delimiter out of a given delimiter, with the total height at + * least `heightTotal`. This routine is mentioned on page 442 of the TeXbook. + */ +var makeStackedDelim = function(delim, heightTotal, center, options, mode) { + // There are four parts, the top, an optional middle, a repeated part, and a + // bottom. + var top, middle, repeat, bottom; + top = repeat = bottom = delim; + middle = null; + // Also keep track of what font the delimiters are in + var font = "Size1-Regular"; + + // We set the parts and font based on the symbol. Note that we use + // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the + // repeats of the arrows + if (delim === "\\uparrow") { + repeat = bottom = "\u23d0"; + } else if (delim === "\\Uparrow") { + repeat = bottom = "\u2016"; + } else if (delim === "\\downarrow") { + top = repeat = "\u23d0"; + } else if (delim === "\\Downarrow") { + top = repeat = "\u2016"; + } else if (delim === "\\updownarrow") { + top = "\\uparrow"; + repeat = "\u23d0"; + bottom = "\\downarrow"; + } else if (delim === "\\Updownarrow") { + top = "\\Uparrow"; + repeat = "\u2016"; + bottom = "\\Downarrow"; + } else if (delim === "[" || delim === "\\lbrack") { + top = "\u23a1"; + repeat = "\u23a2"; + bottom = "\u23a3"; + font = "Size4-Regular"; + } else if (delim === "]" || delim === "\\rbrack") { + top = "\u23a4"; + repeat = "\u23a5"; + bottom = "\u23a6"; + font = "Size4-Regular"; + } else if (delim === "\\lfloor") { + repeat = top = "\u23a2"; + bottom = "\u23a3"; + font = "Size4-Regular"; + } else if (delim === "\\lceil") { + top = "\u23a1"; + repeat = bottom = "\u23a2"; + font = "Size4-Regular"; + } else if (delim === "\\rfloor") { + repeat = top = "\u23a5"; + bottom = "\u23a6"; + font = "Size4-Regular"; + } else if (delim === "\\rceil") { + top = "\u23a4"; + repeat = bottom = "\u23a5"; + font = "Size4-Regular"; + } else if (delim === "(") { + top = "\u239b"; + repeat = "\u239c"; + bottom = "\u239d"; + font = "Size4-Regular"; + } else if (delim === ")") { + top = "\u239e"; + repeat = "\u239f"; + bottom = "\u23a0"; + font = "Size4-Regular"; + } else if (delim === "\\{" || delim === "\\lbrace") { + top = "\u23a7"; + middle = "\u23a8"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\}" || delim === "\\rbrace") { + top = "\u23ab"; + middle = "\u23ac"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\surd") { + top = "\ue001"; + bottom = "\u23b7"; + repeat = "\ue000"; + font = "Size4-Regular"; + } + + // Get the metrics of the four sections + var topMetrics = getMetrics(top, font); + var topHeightTotal = topMetrics.height + topMetrics.depth; + var repeatMetrics = getMetrics(repeat, font); + var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth; + var bottomMetrics = getMetrics(bottom, font); + var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth; + var middleHeightTotal = 0; + var middleFactor = 1; + if (middle !== null) { + var middleMetrics = getMetrics(middle, font); + middleHeightTotal = middleMetrics.height + middleMetrics.depth; + middleFactor = 2; // repeat symmetrically above and below middle + } + + // Calcuate the minimal height that the delimiter can have. + // It is at least the size of the top, bottom, and optional middle combined. + var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; + + // Compute the number of copies of the repeat symbol we will need + var repeatCount = Math.ceil( + (heightTotal - minHeight) / (middleFactor * repeatHeightTotal)); + + // Compute the total height of the delimiter including all the symbols + var realHeightTotal = + minHeight + repeatCount * middleFactor * repeatHeightTotal; + + // The center of the delimiter is placed at the center of the axis. Note + // that in this context, "center" means that the delimiter should be + // centered around the axis in the current style, while normally it is + // centered around the axis in textstyle. + var axisHeight = fontMetrics.metrics.axisHeight; + if (center) { + axisHeight *= options.style.sizeMultiplier; + } + // Calculate the depth + var depth = realHeightTotal / 2 - axisHeight; + + // Now, we start building the pieces that will go into the vlist + + // Keep a list of the inner pieces + var inners = []; + + // Add the bottom symbol + inners.push(makeInner(bottom, font, mode)); + + var i; + if (middle === null) { + // Add that many symbols + for (i = 0; i < repeatCount; i++) { + inners.push(makeInner(repeat, font, mode)); + } + } else { + // When there is a middle bit, we need the middle part and two repeated + // sections + for (i = 0; i < repeatCount; i++) { + inners.push(makeInner(repeat, font, mode)); + } + inners.push(makeInner(middle, font, mode)); + for (i = 0; i < repeatCount; i++) { + inners.push(makeInner(repeat, font, mode)); + } + } + + // Add the top symbol + inners.push(makeInner(top, font, mode)); + + // Finally, build the vlist + var inner = buildCommon.makeVList(inners, "bottom", depth, options); + + return styleWrap( + makeSpan(["delimsizing", "mult"], [inner], options.getColor()), + Style.TEXT, options); +}; + +// There are three kinds of delimiters, delimiters that stack when they become +// too large +var stackLargeDelimiters = [ + "(", ")", "[", "\\lbrack", "]", "\\rbrack", + "\\{", "\\lbrace", "\\}", "\\rbrace", + "\\lfloor", "\\rfloor", "\\lceil", "\\rceil", + "\\surd" +]; + +// delimiters that always stack +var stackAlwaysDelimiters = [ + "\\uparrow", "\\downarrow", "\\updownarrow", + "\\Uparrow", "\\Downarrow", "\\Updownarrow", + "|", "\\|", "\\vert", "\\Vert" +]; + +// and delimiters that never stack +var stackNeverDelimiters = [ + "<", ">", "\\langle", "\\rangle", "/", "\\backslash" +]; + +// Metrics of the different sizes. Found by looking at TeX's output of +// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$ +// Used to create stacked delimiters of appropriate sizes in makeSizedDelim. +var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0]; + +/** + * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4. + */ +var makeSizedDelim = function(delim, size, options, mode) { + // < and > turn into \langle and \rangle in delimiters + if (delim === "<") { + delim = "\\langle"; + } else if (delim === ">") { + delim = "\\rangle"; + } + + // Sized delimiters are never centered. + if (utils.contains(stackLargeDelimiters, delim) || + utils.contains(stackNeverDelimiters, delim)) { + return makeLargeDelim(delim, size, false, options, mode); + } else if (utils.contains(stackAlwaysDelimiters, delim)) { + return makeStackedDelim( + delim, sizeToMaxHeight[size], false, options, mode); + } else { + throw new ParseError("Illegal delimiter: '" + delim + "'"); + } +}; + +/** + * There are three different sequences of delimiter sizes that the delimiters + * follow depending on the kind of delimiter. This is used when creating custom + * sized delimiters to decide whether to create a small, large, or stacked + * delimiter. + * + * In real TeX, these sequences aren't explicitly defined, but are instead + * defined inside the font metrics. Since there are only three sequences that + * are possible for the delimiters that TeX defines, it is easier to just encode + * them explicitly here. + */ + +// Delimiters that never stack try small delimiters and large delimiters only +var stackNeverDelimiterSequence = [ + {type: "small", style: Style.SCRIPTSCRIPT}, + {type: "small", style: Style.SCRIPT}, + {type: "small", style: Style.TEXT}, + {type: "large", size: 1}, + {type: "large", size: 2}, + {type: "large", size: 3}, + {type: "large", size: 4} +]; + +// Delimiters that always stack try the small delimiters first, then stack +var stackAlwaysDelimiterSequence = [ + {type: "small", style: Style.SCRIPTSCRIPT}, + {type: "small", style: Style.SCRIPT}, + {type: "small", style: Style.TEXT}, + {type: "stack"} +]; + +// Delimiters that stack when large try the small and then large delimiters, and +// stack afterwards +var stackLargeDelimiterSequence = [ + {type: "small", style: Style.SCRIPTSCRIPT}, + {type: "small", style: Style.SCRIPT}, + {type: "small", style: Style.TEXT}, + {type: "large", size: 1}, + {type: "large", size: 2}, + {type: "large", size: 3}, + {type: "large", size: 4}, + {type: "stack"} +]; + +/** + * Get the font used in a delimiter based on what kind of delimiter it is. + */ +var delimTypeToFont = function(type) { + if (type.type === "small") { + return "Main-Regular"; + } else if (type.type === "large") { + return "Size" + type.size + "-Regular"; + } else if (type.type === "stack") { + return "Size4-Regular"; + } +}; + +/** + * Traverse a sequence of types of delimiters to decide what kind of delimiter + * should be used to create a delimiter of the given height+depth. + */ +var traverseSequence = function(delim, height, sequence, options) { + // Here, we choose the index we should start at in the sequences. In smaller + // sizes (which correspond to larger numbers in style.size) we start earlier + // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts + // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2 + var start = Math.min(2, 3 - options.style.size); + for (var i = start; i < sequence.length; i++) { + if (sequence[i].type === "stack") { + // This is always the last delimiter, so we just break the loop now. + break; + } + + var metrics = getMetrics(delim, delimTypeToFont(sequence[i])); + var heightDepth = metrics.height + metrics.depth; + + // Small delimiters are scaled down versions of the same font, so we + // account for the style change size. + + if (sequence[i].type === "small") { + heightDepth *= sequence[i].style.sizeMultiplier; + } + + // Check if the delimiter at this size works for the given height. + if (heightDepth > height) { + return sequence[i]; + } + } + + // If we reached the end of the sequence, return the last sequence element. + return sequence[sequence.length - 1]; +}; + +/** + * Make a delimiter of a given height+depth, with optional centering. Here, we + * traverse the sequences, and create a delimiter that the sequence tells us to. + */ +var makeCustomSizedDelim = function(delim, height, center, options, mode) { + if (delim === "<") { + delim = "\\langle"; + } else if (delim === ">") { + delim = "\\rangle"; + } + + // Decide what sequence to use + var sequence; + if (utils.contains(stackNeverDelimiters, delim)) { + sequence = stackNeverDelimiterSequence; + } else if (utils.contains(stackLargeDelimiters, delim)) { + sequence = stackLargeDelimiterSequence; + } else { + sequence = stackAlwaysDelimiterSequence; + } + + // Look through the sequence + var delimType = traverseSequence(delim, height, sequence, options); + + // Depending on the sequence element we decided on, call the appropriate + // function. + if (delimType.type === "small") { + return makeSmallDelim(delim, delimType.style, center, options, mode); + } else if (delimType.type === "large") { + return makeLargeDelim(delim, delimType.size, center, options, mode); + } else if (delimType.type === "stack") { + return makeStackedDelim(delim, height, center, options, mode); + } +}; + +/** + * Make a delimiter for use with `\left` and `\right`, given a height and depth + * of an expression that the delimiters surround. + */ +var makeLeftRightDelim = function(delim, height, depth, options, mode) { + // We always center \left/\right delimiters, so the axis is always shifted + var axisHeight = + fontMetrics.metrics.axisHeight * options.style.sizeMultiplier; + + // Taken from TeX source, tex.web, function make_left_right + var delimiterFactor = 901; + var delimiterExtend = 5.0 / fontMetrics.metrics.ptPerEm; + + var maxDistFromAxis = Math.max( + height - axisHeight, depth + axisHeight); + + var totalHeight = Math.max( + // In real TeX, calculations are done using integral values which are + // 65536 per pt, or 655360 per em. So, the division here truncates in + // TeX but doesn't here, producing different results. If we wanted to + // exactly match TeX's calculation, we could do + // Math.floor(655360 * maxDistFromAxis / 500) * + // delimiterFactor / 655360 + // (To see the difference, compare + // x^{x^{\left(\rule{0.1em}{0.68em}\right)}} + // in TeX and KaTeX) + maxDistFromAxis / 500 * delimiterFactor, + 2 * maxDistFromAxis - delimiterExtend); + + // Finally, we defer to `makeCustomSizedDelim` with our calculated total + // height + return makeCustomSizedDelim(delim, totalHeight, true, options, mode); +}; + +module.exports = { + sizedDelim: makeSizedDelim, + customSizedDelim: makeCustomSizedDelim, + leftRightDelim: makeLeftRightDelim +}; + +},{"./ParseError":5,"./Style":8,"./buildCommon":9,"./fontMetrics":16,"./symbols":21,"./utils":22}],14:[function(require,module,exports){ +/** + * These objects store the data about the DOM nodes we create, as well as some + * extra data. They can then be transformed into real DOM nodes with the + * `toNode` function or HTML markup using `toMarkup`. They are useful for both + * storing extra properties on the nodes, as well as providing a way to easily + * work with the DOM. + * + * Similar functions for working with MathML nodes exist in mathMLTree.js. + */ + +var utils = require("./utils"); + +/** + * Create an HTML className based on a list of classes. In addition to joining + * with spaces, we also remove null or empty classes. + */ +var createClass = function(classes) { + classes = classes.slice(); + for (var i = classes.length - 1; i >= 0; i--) { + if (!classes[i]) { + classes.splice(i, 1); + } + } + + return classes.join(" "); +}; + +/** + * This node represents a span node, with a className, a list of children, and + * an inline style. It also contains information about its height, depth, and + * maxFontSize. + */ +function span(classes, children, height, depth, maxFontSize, style) { + this.classes = classes || []; + this.children = children || []; + this.height = height || 0; + this.depth = depth || 0; + this.maxFontSize = maxFontSize || 0; + this.style = style || {}; + this.attributes = {}; +} + +/** + * Sets an arbitrary attribute on the span. Warning: use this wisely. Not all + * browsers support attributes the same, and having too many custom attributes + * is probably bad. + */ +span.prototype.setAttribute = function(attribute, value) { + this.attributes[attribute] = value; +}; + +/** + * Convert the span into an HTML node + */ +span.prototype.toNode = function() { + var span = document.createElement("span"); + + // Apply the class + span.className = createClass(this.classes); + + // Apply inline styles + for (var style in this.style) { + if (Object.prototype.hasOwnProperty.call(this.style, style)) { + span.style[style] = this.style[style]; + } + } + + // Apply attributes + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + span.setAttribute(attr, this.attributes[attr]); + } + } + + // Append the children, also as HTML nodes + for (var i = 0; i < this.children.length; i++) { + span.appendChild(this.children[i].toNode()); + } + + return span; +}; + +/** + * Convert the span into an HTML markup string + */ +span.prototype.toMarkup = function() { + var markup = "<span"; + + // Add the class + if (this.classes.length) { + markup += " class=\""; + markup += utils.escape(createClass(this.classes)); + markup += "\""; + } + + var styles = ""; + + // Add the styles, after hyphenation + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + styles += utils.hyphenate(style) + ":" + this.style[style] + ";"; + } + } + + if (styles) { + markup += " style=\"" + utils.escape(styles) + "\""; + } + + // Add the attributes + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + markup += " " + attr + "=\""; + markup += utils.escape(this.attributes[attr]); + markup += "\""; + } + } + + markup += ">"; + + // Add the markup of the children, also as markup + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + markup += "</span>"; + + return markup; +}; + +/** + * This node represents a document fragment, which contains elements, but when + * placed into the DOM doesn't have any representation itself. Thus, it only + * contains children and doesn't have any HTML properties. It also keeps track + * of a height, depth, and maxFontSize. + */ +function documentFragment(children, height, depth, maxFontSize) { + this.children = children || []; + this.height = height || 0; + this.depth = depth || 0; + this.maxFontSize = maxFontSize || 0; +} + +/** + * Convert the fragment into a node + */ +documentFragment.prototype.toNode = function() { + // Create a fragment + var frag = document.createDocumentFragment(); + + // Append the children + for (var i = 0; i < this.children.length; i++) { + frag.appendChild(this.children[i].toNode()); + } + + return frag; +}; + +/** + * Convert the fragment into HTML markup + */ +documentFragment.prototype.toMarkup = function() { + var markup = ""; + + // Simply concatenate the markup for the children together + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + return markup; +}; + +/** + * A symbol node contains information about a single symbol. It either renders + * to a single text node, or a span with a single text node in it, depending on + * whether it has CSS classes, styles, or needs italic correction. + */ +function symbolNode(value, height, depth, italic, skew, classes, style) { + this.value = value || ""; + this.height = height || 0; + this.depth = depth || 0; + this.italic = italic || 0; + this.skew = skew || 0; + this.classes = classes || []; + this.style = style || {}; + this.maxFontSize = 0; +} + +/** + * Creates a text node or span from a symbol node. Note that a span is only + * created if it is needed. + */ +symbolNode.prototype.toNode = function() { + var node = document.createTextNode(this.value); + var span = null; + + if (this.italic > 0) { + span = document.createElement("span"); + span.style.marginRight = this.italic + "em"; + } + + if (this.classes.length > 0) { + span = span || document.createElement("span"); + span.className = createClass(this.classes); + } + + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + span = span || document.createElement("span"); + span.style[style] = this.style[style]; + } + } + + if (span) { + span.appendChild(node); + return span; + } else { + return node; + } +}; + +/** + * Creates markup for a symbol node. + */ +symbolNode.prototype.toMarkup = function() { + // TODO(alpert): More duplication than I'd like from + // span.prototype.toMarkup and symbolNode.prototype.toNode... + var needsSpan = false; + + var markup = "<span"; + + if (this.classes.length) { + needsSpan = true; + markup += " class=\""; + markup += utils.escape(createClass(this.classes)); + markup += "\""; + } + + var styles = ""; + + if (this.italic > 0) { + styles += "margin-right:" + this.italic + "em;"; + } + for (var style in this.style) { + if (this.style.hasOwnProperty(style)) { + styles += utils.hyphenate(style) + ":" + this.style[style] + ";"; + } + } + + if (styles) { + needsSpan = true; + markup += " style=\"" + utils.escape(styles) + "\""; + } + + var escaped = utils.escape(this.value); + if (needsSpan) { + markup += ">"; + markup += escaped; + markup += "</span>"; + return markup; + } else { + return escaped; + } +}; + +module.exports = { + span: span, + documentFragment: documentFragment, + symbolNode: symbolNode +}; + +},{"./utils":22}],15:[function(require,module,exports){ +var fontMetrics = require("./fontMetrics"); +var parseData = require("./parseData"); +var ParseError = require("./ParseError"); + +var ParseNode = parseData.ParseNode; +var ParseResult = parseData.ParseResult; + +/** + * Parse the body of the environment, with rows delimited by \\ and + * columns delimited by &, and create a nested list in row-major order + * with one group per cell. + */ +function parseArray(parser, pos, mode, result) { + var row = [], body = [row], rowGaps = []; + while (true) { + var cell = parser.parseExpression(pos, mode, false, null); + row.push(new ParseNode("ordgroup", cell.result, mode)); + pos = cell.position; + var next = cell.peek.text; + if (next === "&") { + pos = cell.peek.position; + } else if (next === "\\end") { + break; + } else if (next === "\\\\" || next === "\\cr") { + var cr = parser.parseFunction(pos, mode); + rowGaps.push(cr.result.value.size); + pos = cr.position; + row = []; + body.push(row); + } else { + throw new ParseError("Expected & or \\\\ or \\end", + parser.lexer, cell.peek.position); + } + } + result.body = body; + result.rowGaps = rowGaps; + return new ParseResult(new ParseNode(result.type, result, mode), pos); +} + +/* + * An environment definition is very similar to a function definition. + * Each element of the following array may contain + * - names: The names associated with a function. This can be used to + * share one implementation between several similar environments. + * - numArgs: The number of arguments after the \begin{name} function. + * - argTypes: (optional) Just like for a function + * - allowedInText: (optional) Whether or not the environment is allowed inside + * text mode (default false) (not enforced yet) + * - numOptionalArgs: (optional) Just like for a function + * - handler: The function that is called to handle this environment. + * It will receive the following arguments: + * - pos: the current position of the parser. + * - mode: the current parsing mode. + * - envName: the name of the environment, one of the listed names. + * - [args]: the arguments passed to \begin. + * - positions: the positions associated with these arguments. + */ + +var environmentDefinitions = [ + + // Arrays are part of LaTeX, defined in lttab.dtx so its documentation + // is part of the source2e.pdf file of LaTeX2e source documentation. + { + names: ["array"], + numArgs: 1, + handler: function(pos, mode, envName, colalign, positions) { + var parser = this; + // Currently only supports alignment, no separators like | yet. + colalign = colalign.value.map ? colalign.value : [colalign]; + var cols = colalign.map(function(node) { + var ca = node.value; + if ("lcr".indexOf(ca) !== -1) { + return { + align: ca + }; + } + throw new ParseError( + "Unknown column alignment: " + node.value, + parser.lexer, positions[1]); + }); + var res = { + type: "array", + cols: cols, + hskipBeforeAndAfter: true // \@preamble in lttab.dtx + }; + res = parseArray(parser, pos, mode, res); + return res; + } + }, + + // The matrix environments of amsmath builds on the array environment + // of LaTeX, which is discussed above. + { + names: [ + "matrix", + "pmatrix", + "bmatrix", + "Bmatrix", + "vmatrix", + "Vmatrix" + ], + handler: function(pos, mode, envName) { + var delimiters = { + "matrix": null, + "pmatrix": ["(", ")"], + "bmatrix": ["[", "]"], + "Bmatrix": ["\\{", "\\}"], + "vmatrix": ["|", "|"], + "Vmatrix": ["\\Vert", "\\Vert"] + }[envName]; + var res = { + type: "array", + hskipBeforeAndAfter: false // \hskip -\arraycolsep in amsmath + }; + res = parseArray(this, pos, mode, res); + if (delimiters) { + res.result = new ParseNode("leftright", { + body: [res.result], + left: delimiters[0], + right: delimiters[1] + }, mode); + } + return res; + } + }, + + // A cases environment (in amsmath.sty) is almost equivalent to + // \def\arraystretch{1.2}% + // \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right. + { + names: ["cases"], + handler: function(pos, mode, envName) { + var res = { + type: "array", + arraystretch: 1.2, + cols: [{ + align: "l", + pregap: 0, + postgap: fontMetrics.metrics.quad + }, { + align: "l", + pregap: 0, + postgap: 0 + }] + }; + res = parseArray(this, pos, mode, res); + res.result = new ParseNode("leftright", { + body: [res.result], + left: "\\{", + right: "." + }, mode); + return res; + } + } +]; + +module.exports = (function() { + // nested function so we don't leak i and j into the module scope + var exports = {}; + for (var i = 0; i < environmentDefinitions.length; ++i) { + var def = environmentDefinitions[i]; + def.greediness = 1; + def.allowedInText = !!def.allowedInText; + def.numArgs = def.numArgs || 0; + def.numOptionalArgs = def.numOptionalArgs || 0; + for (var j = 0; j < def.names.length; ++j) { + exports[def.names[j]] = def; + } + } + return exports; +})(); + +},{"./ParseError":5,"./fontMetrics":16,"./parseData":19}],16:[function(require,module,exports){ +/* jshint unused:false */ + +var Style = require("./Style"); + +/** + * This file contains metrics regarding fonts and individual symbols. The sigma + * and xi variables, as well as the metricMap map contain data extracted from + * TeX, TeX font metrics, and the TTF files. These data are then exposed via the + * `metrics` variable and the getCharacterMetrics function. + */ + +// These font metrics are extracted from TeX by using +// \font\a=cmmi10 +// \showthe\fontdimenX\a +// where X is the corresponding variable number. These correspond to the font +// parameters of the symbol fonts. In TeX, there are actually three sets of +// dimensions, one for each of textstyle, scriptstyle, and scriptscriptstyle, +// but we only use the textstyle ones, and scale certain dimensions accordingly. +// See the TeXbook, page 441. +var sigma1 = 0.025; +var sigma2 = 0; +var sigma3 = 0; +var sigma4 = 0; +var sigma5 = 0.431; +var sigma6 = 1; +var sigma7 = 0; +var sigma8 = 0.677; +var sigma9 = 0.394; +var sigma10 = 0.444; +var sigma11 = 0.686; +var sigma12 = 0.345; +var sigma13 = 0.413; +var sigma14 = 0.363; +var sigma15 = 0.289; +var sigma16 = 0.150; +var sigma17 = 0.247; +var sigma18 = 0.386; +var sigma19 = 0.050; +var sigma20 = 2.390; +var sigma21 = 1.01; +var sigma21Script = 0.81; +var sigma21ScriptScript = 0.71; +var sigma22 = 0.250; + +// These font metrics are extracted from TeX by using +// \font\a=cmex10 +// \showthe\fontdimenX\a +// where X is the corresponding variable number. These correspond to the font +// parameters of the extension fonts (family 3). See the TeXbook, page 441. +var xi1 = 0; +var xi2 = 0; +var xi3 = 0; +var xi4 = 0; +var xi5 = 0.431; +var xi6 = 1; +var xi7 = 0; +var xi8 = 0.04; +var xi9 = 0.111; +var xi10 = 0.166; +var xi11 = 0.2; +var xi12 = 0.6; +var xi13 = 0.1; + +// This value determines how large a pt is, for metrics which are defined in +// terms of pts. +// This value is also used in katex.less; if you change it make sure the values +// match. +var ptPerEm = 10.0; + +/** + * This is just a mapping from common names to real metrics + */ +var metrics = { + xHeight: sigma5, + quad: sigma6, + num1: sigma8, + num2: sigma9, + num3: sigma10, + denom1: sigma11, + denom2: sigma12, + sup1: sigma13, + sup2: sigma14, + sup3: sigma15, + sub1: sigma16, + sub2: sigma17, + supDrop: sigma18, + subDrop: sigma19, + axisHeight: sigma22, + defaultRuleThickness: xi8, + bigOpSpacing1: xi9, + bigOpSpacing2: xi10, + bigOpSpacing3: xi11, + bigOpSpacing4: xi12, + bigOpSpacing5: xi13, + ptPerEm: ptPerEm, + emPerEx: sigma5 / sigma6, + + // TODO(alpert): Missing parallel structure here. We should probably add + // style-specific metrics for all of these. + delim1: sigma20, + getDelim2: function(style) { + if (style.size === Style.TEXT.size) { + return sigma21; + } else if (style.size === Style.SCRIPT.size) { + return sigma21Script; + } else if (style.size === Style.SCRIPTSCRIPT.size) { + return sigma21ScriptScript; + } + throw new Error("Unexpected style size: " + style.size); + } +}; + +// This map contains a mapping from font name and character code to character +// metrics, including height, depth, italic correction, and skew (kern from the +// character to the corresponding \skewchar) +// This map is generated via `make metrics`. It should not be changed manually. +var metricMap = 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+ +/** + * This function is a convience function for looking up information in the + * metricMap table. It takes a character as a string, and a style + */ +var getCharacterMetrics = function(character, style) { + return metricMap[style][character.charCodeAt(0)]; +}; + +module.exports = { + metrics: metrics, + getCharacterMetrics: getCharacterMetrics +}; + +},{"./Style":8}],17:[function(require,module,exports){ +var utils = require("./utils"); +var ParseError = require("./ParseError"); + +// This file contains a list of functions that we parse. The functions map +// contains the following data: + +/* + * Keys are the name of the functions to parse + * The data contains the following keys: + * - numArgs: The number of arguments the function takes. + * - argTypes: (optional) An array corresponding to each argument of the + * function, giving the type of argument that should be parsed. Its + * length should be equal to `numArgs + numOptionalArgs`. Valid + * types: + * - "size": A size-like thing, such as "1em" or "5ex" + * - "color": An html color, like "#abc" or "blue" + * - "original": The same type as the environment that the + * function being parsed is in (e.g. used for the + * bodies of functions like \color where the first + * argument is special and the second argument is + * parsed normally) + * Other possible types (probably shouldn't be used) + * - "text": Text-like (e.g. \text) + * - "math": Normal math + * If undefined, this will be treated as an appropriate length + * array of "original" strings + * - greediness: (optional) The greediness of the function to use ungrouped + * arguments. + * + * E.g. if you have an expression + * \sqrt \frac 1 2 + * since \frac has greediness=2 vs \sqrt's greediness=1, \frac + * will use the two arguments '1' and '2' as its two arguments, + * then that whole function will be used as the argument to + * \sqrt. On the other hand, the expressions + * \frac \frac 1 2 3 + * and + * \frac \sqrt 1 2 + * will fail because \frac and \frac have equal greediness + * and \sqrt has a lower greediness than \frac respectively. To + * make these parse, we would have to change them to: + * \frac {\frac 1 2} 3 + * and + * \frac {\sqrt 1} 2 + * + * The default value is `1` + * - allowedInText: (optional) Whether or not the function is allowed inside + * text mode (default false) + * - numOptionalArgs: (optional) The number of optional arguments the function + * should parse. If the optional arguments aren't found, + * `null` will be passed to the handler in their place. + * (default 0) + * - handler: The function that is called to handle this function and its + * arguments. The arguments are: + * - func: the text of the function + * - [args]: the next arguments are the arguments to the function, + * of which there are numArgs of them + * - positions: the positions in the overall string of the function + * and the arguments. Should only be used to produce + * error messages + * The function should return an object with the following keys: + * - type: The type of element that this is. This is then used in + * buildHTML/buildMathML to determine which function + * should be called to build this node into a DOM node + * Any other data can be added to the object, which will be passed + * in to the function in buildHTML/buildMathML as `group.value`. + */ + +var functions = { + // A normal square root + "\\sqrt": { + numArgs: 1, + numOptionalArgs: 1, + handler: function(func, index, body, positions) { + return { + type: "sqrt", + body: body, + index: index + }; + } + }, + + // Some non-mathy text + "\\text": { + numArgs: 1, + argTypes: ["text"], + greediness: 2, + handler: function(func, body) { + // Since the corresponding buildHTML/buildMathML function expects a + // list of elements, we normalize for different kinds of arguments + // TODO(emily): maybe this should be done somewhere else + var inner; + if (body.type === "ordgroup") { + inner = body.value; + } else { + inner = [body]; + } + + return { + type: "text", + body: inner + }; + } + }, + + // A two-argument custom color + "\\color": { + numArgs: 2, + allowedInText: true, + greediness: 3, + argTypes: ["color", "original"], + handler: function(func, color, body) { + // Normalize the different kinds of bodies (see \text above) + var inner; + if (body.type === "ordgroup") { + inner = body.value; + } else { + inner = [body]; + } + + return { + type: "color", + color: color.value, + value: inner + }; + } + }, + + // An overline + "\\overline": { + numArgs: 1, + handler: function(func, body) { + return { + type: "overline", + body: body + }; + } + }, + + // A box of the width and height + "\\rule": { + numArgs: 2, + numOptionalArgs: 1, + argTypes: ["size", "size", "size"], + handler: function(func, shift, width, height) { + return { + type: "rule", + shift: shift && shift.value, + width: width.value, + height: height.value + }; + } + }, + + // A KaTeX logo + "\\KaTeX": { + numArgs: 0, + handler: function(func) { + return { + type: "katex" + }; + } + }, + + "\\phantom": { + numArgs: 1, + handler: function(func, body) { + var inner; + if (body.type === "ordgroup") { + inner = body.value; + } else { + inner = [body]; + } + + return { + type: "phantom", + value: inner + }; + } + } +}; + +// Extra data needed for the delimiter handler down below +var delimiterSizes = { + "\\bigl" : {type: "open", size: 1}, + "\\Bigl" : {type: "open", size: 2}, + "\\biggl": {type: "open", size: 3}, + "\\Biggl": {type: "open", size: 4}, + "\\bigr" : {type: "close", size: 1}, + "\\Bigr" : {type: "close", size: 2}, + "\\biggr": {type: "close", size: 3}, + "\\Biggr": {type: "close", size: 4}, + "\\bigm" : {type: "rel", size: 1}, + "\\Bigm" : {type: "rel", size: 2}, + "\\biggm": {type: "rel", size: 3}, + "\\Biggm": {type: "rel", size: 4}, + "\\big" : {type: "textord", size: 1}, + "\\Big" : {type: "textord", size: 2}, + "\\bigg" : {type: "textord", size: 3}, + "\\Bigg" : {type: "textord", size: 4} +}; + +var delimiters = [ + "(", ")", "[", "\\lbrack", "]", "\\rbrack", + "\\{", "\\lbrace", "\\}", "\\rbrace", + "\\lfloor", "\\rfloor", "\\lceil", "\\rceil", + "<", ">", "\\langle", "\\rangle", + "/", "\\backslash", + "|", "\\vert", "\\|", "\\Vert", + "\\uparrow", "\\Uparrow", + "\\downarrow", "\\Downarrow", + "\\updownarrow", "\\Updownarrow", + "." +]; + +var fontAliases = { + // amstex.sty + "\\frak": "\\mathfrak", + "\\Bbb": "\\mathbb", + "\\bold": "\\mathbf", + // article.cls + "\\rm": "\\mathrm", + "\\sf": "\\mathsf", + "\\tt": "\\mathtt", + "\\bf": "\\mathbf", + "\\it": "\\mathit", + "\\cal": "\\mathcal" +}; + +/* + * This is a list of functions which each have the same function but have + * different names so that we don't have to duplicate the data a bunch of times. + * Each element in the list is an object with the following keys: + * - funcs: A list of function names to be associated with the data + * - data: An objecty with the same data as in each value of the `function` + * table above + */ +var duplicatedFunctions = [ + // Single-argument color functions + { + funcs: [ + "\\blue", "\\orange", "\\pink", "\\red", + "\\green", "\\gray", "\\purple", + "\\blueA", "\\blueB", "\\blueC", "\\blueD", "\\blueE", + "\\tealA", "\\tealB", "\\tealC", "\\tealD", "\\tealE", + "\\greenA", "\\greenB", "\\greenC", "\\greenD", "\\greenE", + "\\goldA", "\\goldB", "\\goldC", "\\goldD", "\\goldE", + "\\redA", "\\redB", "\\redC", "\\redD", "\\redE", + "\\maroonA", "\\maroonB", "\\maroonC", "\\maroonD", "\\maroonE", + "\\purpleA", "\\purpleB", "\\purpleC", "\\purpleD", "\\purpleE", + "\\mintA", "\\mintB", "\\mintC", + "\\grayA", "\\grayB", "\\grayC", "\\grayD", "\\grayE", + "\\grayF", "\\grayG", "\\grayH", "\\grayI", + "\\kaBlue", "\\kaGreen" + ], + data: { + numArgs: 1, + allowedInText: true, + greediness: 3, + handler: function(func, body) { + var atoms; + if (body.type === "ordgroup") { + atoms = body.value; + } else { + atoms = [body]; + } + + return { + type: "color", + color: "katex-" + func.slice(1), + value: atoms + }; + } + } + }, + + // There are 2 flags for operators; whether they produce limits in + // displaystyle, and whether they are symbols and should grow in + // displaystyle. These four groups cover the four possible choices. + + // No limits, not symbols + { + funcs: [ + "\\arcsin", "\\arccos", "\\arctan", "\\arg", "\\cos", "\\cosh", + "\\cot", "\\coth", "\\csc", "\\deg", "\\dim", "\\exp", "\\hom", + "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", + "\\tan","\\tanh" + ], + data: { + numArgs: 0, + handler: function(func) { + return { + type: "op", + limits: false, + symbol: false, + body: func + }; + } + } + }, + + // Limits, not symbols + { + funcs: [ + "\\det", "\\gcd", "\\inf", "\\lim", "\\liminf", "\\limsup", "\\max", + "\\min", "\\Pr", "\\sup" + ], + data: { + numArgs: 0, + handler: function(func) { + return { + type: "op", + limits: true, + symbol: false, + body: func + }; + } + } + }, + + // No limits, symbols + { + funcs: [ + "\\int", "\\iint", "\\iiint", "\\oint" + ], + data: { + numArgs: 0, + handler: function(func) { + return { + type: "op", + limits: false, + symbol: true, + body: func + }; + } + } + }, + + // Limits, symbols + { + funcs: [ + "\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", + "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", + "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint" + ], + data: { + numArgs: 0, + handler: function(func) { + return { + type: "op", + limits: true, + symbol: true, + body: func + }; + } + } + }, + + // Fractions + { + funcs: [ + "\\dfrac", "\\frac", "\\tfrac", + "\\dbinom", "\\binom", "\\tbinom" + ], + data: { + numArgs: 2, + greediness: 2, + handler: function(func, numer, denom) { + var hasBarLine; + var leftDelim = null; + var rightDelim = null; + var size = "auto"; + + switch (func) { + case "\\dfrac": + case "\\frac": + case "\\tfrac": + hasBarLine = true; + break; + case "\\dbinom": + case "\\binom": + case "\\tbinom": + hasBarLine = false; + leftDelim = "("; + rightDelim = ")"; + break; + default: + throw new Error("Unrecognized genfrac command"); + } + + switch (func) { + case "\\dfrac": + case "\\dbinom": + size = "display"; + break; + case "\\tfrac": + case "\\tbinom": + size = "text"; + break; + } + + return { + type: "genfrac", + numer: numer, + denom: denom, + hasBarLine: hasBarLine, + leftDelim: leftDelim, + rightDelim: rightDelim, + size: size + }; + } + } + }, + + // Left and right overlap functions + { + funcs: ["\\llap", "\\rlap"], + data: { + numArgs: 1, + allowedInText: true, + handler: function(func, body) { + return { + type: func.slice(1), + body: body + }; + } + } + }, + + // Delimiter functions + { + funcs: [ + "\\bigl", "\\Bigl", "\\biggl", "\\Biggl", + "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", + "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", + "\\big", "\\Big", "\\bigg", "\\Bigg", + "\\left", "\\right" + ], + data: { + numArgs: 1, + handler: function(func, delim, positions) { + if (!utils.contains(delimiters, delim.value)) { + throw new ParseError( + "Invalid delimiter: '" + delim.value + "' after '" + + func + "'", + this.lexer, positions[1]); + } + + // \left and \right are caught somewhere in Parser.js, which is + // why this data doesn't match what is in buildHTML. + if (func === "\\left" || func === "\\right") { + return { + type: "leftright", + value: delim.value + }; + } else { + return { + type: "delimsizing", + size: delimiterSizes[func].size, + delimType: delimiterSizes[func].type, + value: delim.value + }; + } + } + } + }, + + // Sizing functions (handled in Parser.js explicitly, hence no handler) + { + funcs: [ + "\\tiny", "\\scriptsize", "\\footnotesize", "\\small", + "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge" + ], + data: { + numArgs: 0 + } + }, + + // Style changing functions (handled in Parser.js explicitly, hence no + // handler) + { + funcs: [ + "\\displaystyle", "\\textstyle", "\\scriptstyle", + "\\scriptscriptstyle" + ], + data: { + numArgs: 0 + } + }, + + { + funcs: [ + // styles + "\\mathrm", "\\mathit", "\\mathbf", + + // families + "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", + "\\mathtt" + ], + data: { + numArgs: 1, + handler: function (func, body) { + if (func in fontAliases) { + func = fontAliases[func]; + } + return { + type: "font", + font: func.slice(1), + body: body + }; + } + } + }, + + // Accents + { + funcs: [ + "\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", + "\\check", "\\hat", "\\vec", "\\dot" + // We don't support expanding accents yet + // "\\widetilde", "\\widehat" + ], + data: { + numArgs: 1, + handler: function(func, base) { + return { + type: "accent", + accent: func, + base: base + }; + } + } + }, + + // Infix generalized fractions + { + funcs: ["\\over", "\\choose"], + data: { + numArgs: 0, + handler: function (func) { + var replaceWith; + switch (func) { + case "\\over": + replaceWith = "\\frac"; + break; + case "\\choose": + replaceWith = "\\binom"; + break; + default: + throw new Error("Unrecognized infix genfrac command"); + } + return { + type: "infix", + replaceWith: replaceWith + }; + } + } + }, + + // Row breaks for aligned data + { + funcs: ["\\\\", "\\cr"], + data: { + numArgs: 0, + numOptionalArgs: 1, + argTypes: ["size"], + handler: function(func, size) { + return { + type: "cr", + size: size + }; + } + } + }, + + // Environment delimiters + { + funcs: ["\\begin", "\\end"], + data: { + numArgs: 1, + argTypes: ["text"], + handler: function(func, nameGroup, positions) { + if (nameGroup.type !== "ordgroup") { + throw new ParseError( + "Invalid environment name", + this.lexer, positions[1]); + } + var name = ""; + for (var i = 0; i < nameGroup.value.length; ++i) { + name += nameGroup.value[i].value; + } + return { + type: "environment", + name: name, + namepos: positions[1] + }; + } + } + } +]; + +var addFuncsWithData = function(funcs, data) { + for (var i = 0; i < funcs.length; i++) { + functions[funcs[i]] = data; + } +}; + +// Add all of the functions in duplicatedFunctions to the functions map +for (var i = 0; i < duplicatedFunctions.length; i++) { + addFuncsWithData(duplicatedFunctions[i].funcs, duplicatedFunctions[i].data); +} + +// Set default values of functions +for (var f in functions) { + if (functions.hasOwnProperty(f)) { + var func = functions[f]; + + functions[f] = { + numArgs: func.numArgs, + argTypes: func.argTypes, + greediness: (func.greediness === undefined) ? 1 : func.greediness, + allowedInText: func.allowedInText ? func.allowedInText : false, + numOptionalArgs: (func.numOptionalArgs === undefined) ? 0 : + func.numOptionalArgs, + handler: func.handler + }; + } +} + +module.exports = { + funcs: functions +}; + +},{"./ParseError":5,"./utils":22}],18:[function(require,module,exports){ +/** + * These objects store data about MathML nodes. This is the MathML equivalent + * of the types in domTree.js. Since MathML handles its own rendering, and + * since we're mainly using MathML to improve accessibility, we don't manage + * any of the styling state that the plain DOM nodes do. + * + * The `toNode` and `toMarkup` functions work simlarly to how they do in + * domTree.js, creating namespaced DOM nodes and HTML text markup respectively. + */ + +var utils = require("./utils"); + +/** + * This node represents a general purpose MathML node of any type. The + * constructor requires the type of node to create (for example, `"mo"` or + * `"mspace"`, corresponding to `<mo>` and `<mspace>` tags). + */ +function MathNode(type, children) { + this.type = type; + this.attributes = {}; + this.children = children || []; +} + +/** + * Sets an attribute on a MathML node. MathML depends on attributes to convey a + * semantic content, so this is used heavily. + */ +MathNode.prototype.setAttribute = function(name, value) { + this.attributes[name] = value; +}; + +/** + * Converts the math node into a MathML-namespaced DOM element. + */ +MathNode.prototype.toNode = function() { + var node = document.createElementNS( + "http://www.w3.org/1998/Math/MathML", this.type); + + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + node.setAttribute(attr, this.attributes[attr]); + } + } + + for (var i = 0; i < this.children.length; i++) { + node.appendChild(this.children[i].toNode()); + } + + return node; +}; + +/** + * Converts the math node into an HTML markup string. + */ +MathNode.prototype.toMarkup = function() { + var markup = "<" + this.type; + + // Add the attributes + for (var attr in this.attributes) { + if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) { + markup += " " + attr + "=\""; + markup += utils.escape(this.attributes[attr]); + markup += "\""; + } + } + + markup += ">"; + + for (var i = 0; i < this.children.length; i++) { + markup += this.children[i].toMarkup(); + } + + markup += "</" + this.type + ">"; + + return markup; +}; + +/** + * This node represents a piece of text. + */ +function TextNode(text) { + this.text = text; +} + +/** + * Converts the text node into a DOM text node. + */ +TextNode.prototype.toNode = function() { + return document.createTextNode(this.text); +}; + +/** + * Converts the text node into HTML markup (which is just the text itself). + */ +TextNode.prototype.toMarkup = function() { + return utils.escape(this.text); +}; + +module.exports = { + MathNode: MathNode, + TextNode: TextNode +}; + +},{"./utils":22}],19:[function(require,module,exports){ +/** + * The resulting parse tree nodes of the parse tree. + */ +function ParseNode(type, value, mode) { + this.type = type; + this.value = value; + this.mode = mode; +} + +/** + * A result and final position returned by the `.parse...` functions. + * + */ +function ParseResult(result, newPosition, peek) { + this.result = result; + this.position = newPosition; +} + +module.exports = { + ParseNode: ParseNode, + ParseResult: ParseResult +}; + + +},{}],20:[function(require,module,exports){ +/** + * Provides a single function for parsing an expression using a Parser + * TODO(emily): Remove this + */ + +var Parser = require("./Parser"); + +/** + * Parses an expression using a Parser, then returns the parsed result. + */ +var parseTree = function(toParse, settings) { + var parser = new Parser(toParse, settings); + + return parser.parse(); +}; + +module.exports = parseTree; + +},{"./Parser":6}],21:[function(require,module,exports){ +/** + * This file holds a list of all no-argument functions and single-character + * symbols (like 'a' or ';'). + * + * For each of the symbols, there are three properties they can have: + * - font (required): the font to be used for this symbol. Either "main" (the + normal font), or "ams" (the ams fonts). + * - group (required): the ParseNode group type the symbol should have (i.e. + "textord", "mathord", etc). + * - replace (optional): the character that this symbol or function should be + * replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi + * character in the main font). + * + * The outermost map in the table indicates what mode the symbols should be + * accepted in (e.g. "math" or "text"). + */ + +var symbols = { + "math": { + // Relation Symbols + "\\equiv": { + font: "main", + group: "rel", + replace: "\u2261" + }, + "\\prec": { + font: "main", + group: "rel", + replace: "\u227a" + }, + "\\succ": { + font: "main", + group: "rel", + replace: "\u227b" + }, + "\\sim": { + font: "main", + group: "rel", + replace: "\u223c" + }, + "\\perp": { + font: "main", + group: "rel", + replace: "\u22a5" + }, + "\\preceq": { + font: "main", + group: "rel", + replace: "\u2aaf" + }, + "\\succeq": { + font: "main", + group: "rel", + replace: "\u2ab0" + }, + "\\simeq": { + font: "main", + group: "rel", + replace: "\u2243" + }, + "\\mid": { + font: "main", + group: "rel", + replace: "\u2223" + }, + "\\ll": { + font: "main", + group: "rel", + replace: "\u226a" + }, + "\\gg": { + font: "main", + group: "rel", + replace: "\u226b" + }, + "\\asymp": { + font: "main", + group: "rel", + replace: "\u224d" + }, + "\\parallel": { + font: "main", + group: "rel", + replace: "\u2225" + }, + "\\bowtie": { + font: "main", + group: "rel", + replace: "\u22c8" + }, + "\\smile": { + font: "main", + group: "rel", + replace: "\u2323" + }, + "\\sqsubseteq": { + font: "main", + group: "rel", + replace: "\u2291" + }, + "\\sqsupseteq": { + font: "main", + group: "rel", + replace: "\u2292" + }, + "\\doteq": { + font: "main", + group: "rel", + replace: "\u2250" + }, + "\\frown": { + font: "main", + group: "rel", + replace: "\u2322" + }, + "\\ni": { + font: "main", + group: "rel", + replace: "\u220b" + }, + "\\propto": { + font: "main", + group: "rel", + replace: "\u221d" + }, + "\\vdash": { + font: "main", + group: "rel", + replace: "\u22a2" + }, + "\\dashv": { + font: "main", + group: "rel", + replace: "\u22a3" + }, + "\\owns": { + font: "main", + group: "rel", + replace: "\u220b" + }, + + // Punctuation + "\\ldotp": { + font: "main", + group: "punct", + replace: "\u002e" + }, + "\\cdotp": { + font: "main", + group: "punct", + replace: "\u22c5" + }, + + // Misc Symbols + "\\#": { + font: "main", + group: "textord", + replace: "\u0023" + }, + "\\&": { + font: "main", + group: "textord", + replace: "\u0026" + }, + "\\aleph": { + font: "main", + group: "textord", + replace: "\u2135" + }, + "\\forall": { + font: "main", + group: "textord", + replace: "\u2200" + }, + "\\hbar": { + font: "main", + group: "textord", + replace: "\u210f" + }, + "\\exists": { + font: "main", + group: "textord", + replace: "\u2203" + }, + "\\nabla": { + font: "main", + group: "textord", + replace: "\u2207" + }, + "\\flat": { + font: "main", + group: "textord", + replace: "\u266d" + }, + "\\ell": { + font: "main", + group: "textord", + replace: "\u2113" + }, + "\\natural": { + font: "main", + group: "textord", + replace: "\u266e" + }, + "\\clubsuit": { + font: "main", + group: "textord", + replace: "\u2663" + }, + "\\wp": { + font: "main", + group: "textord", + replace: "\u2118" + }, + "\\sharp": { + font: "main", + group: "textord", + replace: "\u266f" + }, + "\\diamondsuit": { + font: "main", + group: "textord", + replace: "\u2662" + }, + "\\Re": { + font: "main", + group: "textord", + replace: "\u211c" + }, + "\\heartsuit": { + font: "main", + group: "textord", + replace: "\u2661" + }, + "\\Im": { + font: "main", + group: "textord", + replace: "\u2111" + }, + "\\spadesuit": { + font: "main", + group: "textord", + replace: "\u2660" + }, + + // Math and Text + "\\dag": { + font: "main", + group: "textord", + replace: "\u2020" + }, + "\\ddag": { + font: "main", + group: "textord", + replace: "\u2021" + }, + + // Large Delimiters + "\\rmoustache": { + font: "main", + group: "close", + replace: "\u23b1" + }, + "\\lmoustache": { + font: "main", + group: "open", + replace: "\u23b0" + }, + "\\rgroup": { + font: "main", + group: "close", + replace: "\u27ef" + }, + "\\lgroup": { + font: "main", + group: "open", + replace: "\u27ee" + }, + + // Binary Operators + "\\mp": { + font: "main", + group: "bin", + replace: "\u2213" + }, + "\\ominus": { + font: "main", + group: "bin", + replace: "\u2296" + }, + "\\uplus": { + font: "main", + group: "bin", + replace: "\u228e" + }, + "\\sqcap": { + font: "main", + group: "bin", + replace: "\u2293" + }, + "\\ast": { + font: "main", + group: "bin", + replace: "\u2217" + }, + "\\sqcup": { + font: "main", + group: "bin", + replace: "\u2294" + }, + "\\bigcirc": { + font: "main", + group: "bin", + replace: "\u25ef" + }, + "\\bullet": { + font: "main", + group: "bin", + replace: "\u2219" + }, + "\\ddagger": { + font: "main", + group: "bin", + replace: "\u2021" + }, + "\\wr": { + font: "main", + group: "bin", + replace: "\u2240" + }, + "\\amalg": { + font: "main", + group: "bin", + replace: "\u2a3f" + }, + + // Arrow Symbols + "\\longleftarrow": { + font: "main", + group: "rel", + replace: "\u27f5" + }, + "\\Leftarrow": { + font: "main", + group: "rel", + replace: "\u21d0" + }, + "\\Longleftarrow": { + font: "main", + group: "rel", + replace: "\u27f8" + }, + "\\longrightarrow": { + font: "main", + group: "rel", + replace: "\u27f6" + }, + "\\Rightarrow": { + font: "main", + group: "rel", + replace: "\u21d2" + }, + "\\Longrightarrow": { + font: "main", + group: "rel", + replace: "\u27f9" + }, + "\\leftrightarrow": { + font: "main", + group: "rel", + replace: "\u2194" + }, + "\\longleftrightarrow": { + font: "main", + group: "rel", + replace: "\u27f7" + }, + "\\Leftrightarrow": { + font: "main", + group: "rel", + replace: "\u21d4" + }, + "\\Longleftrightarrow": { + font: "main", + group: "rel", + replace: "\u27fa" + }, + "\\mapsto": { + font: "main", + group: "rel", + replace: "\u21a6" + }, + "\\longmapsto": { + font: "main", + group: "rel", + replace: "\u27fc" + }, + "\\nearrow": { + font: "main", + group: "rel", + replace: "\u2197" + }, + "\\hookleftarrow": { + font: "main", + group: "rel", + replace: "\u21a9" + }, + "\\hookrightarrow": { + font: "main", + group: "rel", + replace: "\u21aa" + }, + "\\searrow": { + font: "main", + group: "rel", + replace: "\u2198" + }, + "\\leftharpoonup": { + font: "main", + group: "rel", + replace: "\u21bc" + }, + "\\rightharpoonup": { + font: "main", + group: "rel", + replace: "\u21c0" + }, + "\\swarrow": { + font: "main", + group: "rel", + replace: "\u2199" + }, + "\\leftharpoondown": { + font: "main", + group: "rel", + replace: "\u21bd" + }, + "\\rightharpoondown": { + font: "main", + group: "rel", + replace: "\u21c1" + }, + "\\nwarrow": { + font: "main", + group: "rel", + replace: "\u2196" + }, + "\\rightleftharpoons": { + font: "main", + group: "rel", + replace: "\u21cc" + }, + + // AMS Negated Binary Relations + "\\nless": { + font: "ams", + group: "rel", + replace: "\u226e" + }, + "\\nleqslant": { + font: "ams", + group: "rel", + replace: "\ue010" + }, + "\\nleqq": { + font: "ams", + group: "rel", + replace: "\ue011" + }, + "\\lneq": { + font: "ams", + group: "rel", + replace: "\u2a87" + }, + "\\lneqq": { + font: "ams", + group: "rel", + replace: "\u2268" + }, + "\\lvertneqq": { + font: "ams", + group: "rel", + replace: "\ue00c" + }, + "\\lnsim": { + font: "ams", + group: "rel", + replace: "\u22e6" + }, + "\\lnapprox": { + font: "ams", + group: "rel", + replace: "\u2a89" + }, + "\\nprec": { + font: "ams", + group: "rel", + replace: "\u2280" + }, + "\\npreceq": { + font: "ams", + group: "rel", + replace: "\u22e0" + }, + "\\precnsim": { + font: "ams", + group: "rel", + replace: "\u22e8" + }, + "\\precnapprox": { + font: "ams", + group: "rel", + replace: "\u2ab9" + }, + "\\nsim": { + font: "ams", + group: "rel", + replace: "\u2241" + }, + "\\nshortmid": { + font: "ams", + group: "rel", + replace: "\ue006" + }, + "\\nmid": { + font: "ams", + group: "rel", + replace: "\u2224" + }, + "\\nvdash": { + font: "ams", + group: "rel", + replace: "\u22ac" + }, + "\\nvDash": { + font: "ams", + group: "rel", + replace: "\u22ad" + }, + "\\ntriangleleft": { + font: "ams", + group: "rel", + replace: "\u22ea" + }, + "\\ntrianglelefteq": { + font: "ams", + group: "rel", + replace: "\u22ec" + }, + "\\subsetneq": { + font: "ams", + group: "rel", + replace: "\u228a" + }, + "\\varsubsetneq": { + font: "ams", + group: "rel", + replace: "\ue01a" + }, + "\\subsetneqq": { + font: "ams", + group: "rel", + replace: "\u2acb" + }, + "\\varsubsetneqq": { + font: "ams", + group: "rel", + replace: "\ue017" + }, + "\\ngtr": { + font: "ams", + group: "rel", + replace: "\u226f" + }, + "\\ngeqslant": { + font: "ams", + group: "rel", + replace: "\ue00f" + }, + "\\ngeqq": { + font: "ams", + group: "rel", + replace: "\ue00e" + }, + "\\gneq": { + font: "ams", + group: "rel", + replace: "\u2a88" + }, + "\\gneqq": { + font: "ams", + group: "rel", + replace: "\u2269" + }, + "\\gvertneqq": { + font: "ams", + group: "rel", + replace: "\ue00d" + }, + "\\gnsim": { + font: "ams", + group: "rel", + replace: "\u22e7" + }, + "\\gnapprox": { + font: "ams", + group: "rel", + replace: "\u2a8a" + }, + "\\nsucc": { + font: "ams", + group: "rel", + replace: "\u2281" + }, + "\\nsucceq": { + font: "ams", + group: "rel", + replace: "\u22e1" + }, + "\\succnsim": { + font: "ams", + group: "rel", + replace: "\u22e9" + }, + "\\succnapprox": { + font: "ams", + group: "rel", + replace: "\u2aba" + }, + "\\ncong": { + font: "ams", + group: "rel", + replace: "\u2246" + }, + "\\nshortparallel": { + font: "ams", + group: "rel", + replace: "\ue007" + }, + "\\nparallel": { + font: "ams", + group: "rel", + replace: "\u2226" + }, + "\\nVDash": { + font: "ams", + group: "rel", + replace: "\u22af" + }, + "\\ntriangleright": { + font: "ams", + group: "rel", + replace: "\u22eb" + }, + "\\ntrianglerighteq": { + font: "ams", + group: "rel", + replace: "\u22ed" + }, + "\\nsupseteqq": { + font: "ams", + group: "rel", + replace: "\ue018" + }, + "\\supsetneq": { + font: "ams", + group: "rel", + replace: "\u228b" + }, + "\\varsupsetneq": { + font: "ams", + group: "rel", + replace: "\ue01b" + }, + "\\supsetneqq": { + font: "ams", + group: "rel", + replace: "\u2acc" + }, + "\\varsupsetneqq": { + font: "ams", + group: "rel", + replace: "\ue019" + }, + "\\nVdash": { + font: "ams", + group: "rel", + replace: "\u22ae" + }, + "\\precneqq": { + font: "ams", + group: "rel", + replace: "\u2ab5" + }, + "\\succneqq": { + font: "ams", + group: "rel", + replace: "\u2ab6" + }, + "\\nsubseteqq": { + font: "ams", + group: "rel", + replace: "\ue016" + }, + "\\unlhd": { + font: "ams", + group: "bin", + replace: "\u22b4" + }, + "\\unrhd": { + font: "ams", + group: "bin", + replace: "\u22b5" + }, + + // AMS Negated Arrows + "\\nleftarrow": { + font: "ams", + group: "rel", + replace: "\u219a" + }, + "\\nrightarrow": { + font: "ams", + group: "rel", + replace: "\u219b" + }, + "\\nLeftarrow": { + font: "ams", + group: "rel", + replace: "\u21cd" + }, + "\\nRightarrow": { + font: "ams", + group: "rel", + replace: "\u21cf" + }, + "\\nleftrightarrow": { + font: "ams", + group: "rel", + replace: "\u21ae" + }, + "\\nLeftrightarrow": { + font: "ams", + group: "rel", + replace: "\u21ce" + }, + + // AMS Misc + "\\vartriangle": { + font: "ams", + group: "rel", + replace: "\u25b3" + }, + "\\hslash": { + font: "ams", + group: "textord", + replace: "\u210f" + }, + "\\triangledown": { + font: "ams", + group: "textord", + replace: "\u25bd" + }, + "\\lozenge": { + font: "ams", + group: "textord", + replace: "\u25ca" + }, + "\\circledS": { + font: "ams", + group: "textord", + replace: "\u24c8" + }, + "\\circledR": { + font: "ams", + group: "textord", + replace: "\u00ae" + }, + "\\measuredangle": { + font: "ams", + group: "textord", + replace: "\u2221" + }, + "\\nexists": { + font: "ams", + group: "textord", + replace: "\u2204" + }, + "\\mho": { + font: "ams", + group: "textord", + replace: "\u2127" + }, + "\\Finv": { + font: "ams", + group: "textord", + replace: "\u2132" + }, + "\\Game": { + font: "ams", + group: "textord", + replace: "\u2141" + }, + "\\Bbbk": { + font: "ams", + group: "textord", + replace: "\u006b" + }, + "\\backprime": { + font: "ams", + group: "textord", + replace: "\u2035" + }, + "\\blacktriangle": { + font: "ams", + group: "textord", + replace: "\u25b2" + }, + "\\blacktriangledown": { + font: "ams", + group: "textord", + replace: "\u25bc" + }, + "\\blacksquare": { + font: "ams", + group: "textord", + replace: "\u25a0" + }, + "\\blacklozenge": { + font: "ams", + group: "textord", + replace: "\u29eb" + }, + "\\bigstar": { + font: "ams", + group: "textord", + replace: "\u2605" + }, + "\\sphericalangle": { + font: "ams", + group: "textord", + replace: "\u2222" + }, + "\\complement": { + font: "ams", + group: "textord", + replace: "\u2201" + }, + "\\eth": { + font: "ams", + group: "textord", + replace: "\u00f0" + }, + "\\diagup": { + font: "ams", + group: "textord", + replace: "\u2571" + }, + "\\diagdown": { + font: "ams", + group: "textord", + replace: "\u2572" + }, + "\\square": { + font: "ams", + group: "textord", + replace: "\u25a1" + }, + "\\Box": { + font: "ams", + group: "textord", + replace: "\u25a1" + }, + "\\Diamond": { + font: "ams", + group: "textord", + replace: "\u25ca" + }, + "\\yen": { + font: "ams", + group: "textord", + replace: "\u00a5" + }, + "\\checkmark": { + font: "ams", + group: "textord", + replace: "\u2713" + }, + + // AMS Hebrew + "\\beth": { + font: "ams", + group: "textord", + replace: "\u2136" + }, + "\\daleth": { + font: "ams", + group: "textord", + replace: "\u2138" + }, + "\\gimel": { + font: "ams", + group: "textord", + replace: "\u2137" + }, + + // AMS Greek + "\\digamma": { + font: "ams", + group: "textord", + replace: "\u03dd" + }, + "\\varkappa": { + font: "ams", + group: "textord", + replace: "\u03f0" + }, + + // AMS Delimiters + "\\ulcorner": { + font: "ams", + group: "textord", + replace: "\u250c" + }, + "\\urcorner": { + font: "ams", + group: "textord", + replace: "\u2510" + }, + "\\llcorner": { + font: "ams", + group: "textord", + replace: "\u2514" + }, + "\\lrcorner": { + font: "ams", + group: "textord", + replace: "\u2518" + }, + + // AMS Binary Relations + "\\leqq": { + font: "ams", + group: "rel", + replace: "\u2266" + }, + "\\leqslant": { + font: "ams", + group: "rel", + replace: "\u2a7d" + }, + "\\eqslantless": { + font: "ams", + group: "rel", + replace: "\u2a95" + }, + "\\lesssim": { + font: "ams", + group: "rel", + replace: "\u2272" + }, + "\\lessapprox": { + font: "ams", + group: "rel", + replace: "\u2a85" + }, + "\\approxeq": { + font: "ams", + group: "rel", + replace: "\u224a" + }, + "\\lessdot": { + font: "ams", + group: "bin", + replace: "\u22d6" + }, + "\\lll": { + font: "ams", + group: "rel", + replace: "\u22d8" + }, + "\\lessgtr": { + font: "ams", + group: "rel", + replace: "\u2276" + }, + "\\lesseqgtr": { + font: "ams", + group: "rel", + replace: "\u22da" + }, + "\\lesseqqgtr": { + font: "ams", + group: "rel", + replace: "\u2a8b" + }, + "\\doteqdot": { + font: "ams", + group: "rel", + replace: "\u2251" + }, + "\\risingdotseq": { + font: "ams", + group: "rel", + replace: "\u2253" + }, + "\\fallingdotseq": { + font: "ams", + group: "rel", + replace: "\u2252" + }, + "\\backsim": { + font: "ams", + group: "rel", + replace: "\u223d" + }, + "\\backsimeq": { + font: "ams", + group: "rel", + replace: "\u22cd" + }, + "\\subseteqq": { + font: "ams", + group: "rel", + replace: "\u2ac5" + }, + "\\Subset": { + font: "ams", + group: "rel", + replace: "\u22d0" + }, + "\\sqsubset": { + font: "ams", + group: "rel", + replace: "\u228f" + }, + "\\preccurlyeq": { + font: "ams", + group: "rel", + replace: "\u227c" + }, + "\\curlyeqprec": { + font: "ams", + group: "rel", + replace: "\u22de" + }, + "\\precsim": { + font: "ams", + group: "rel", + replace: "\u227e" + }, + "\\precapprox": { + font: "ams", + group: "rel", + replace: "\u2ab7" + }, + "\\vartriangleleft": { + font: "ams", + group: "rel", + replace: "\u22b2" + }, + "\\trianglelefteq": { + font: "ams", + group: "rel", + replace: "\u22b4" + }, + "\\vDash": { + font: "ams", + group: "rel", + replace: "\u22a8" + }, + "\\Vvdash": { + font: "ams", + group: "rel", + replace: "\u22aa" + }, + "\\smallsmile": { + font: "ams", + group: "rel", + replace: "\u2323" + }, + "\\smallfrown": { + font: "ams", + group: "rel", + replace: "\u2322" + }, + "\\bumpeq": { + font: "ams", + group: "rel", + replace: "\u224f" + }, + "\\Bumpeq": { + font: "ams", + group: "rel", + replace: "\u224e" + }, + "\\geqq": { + font: "ams", + group: "rel", + replace: "\u2267" + }, + "\\geqslant": { + font: "ams", + group: "rel", + replace: "\u2a7e" + }, + "\\eqslantgtr": { + font: "ams", + group: "rel", + replace: "\u2a96" + }, + "\\gtrsim": { + font: "ams", + group: "rel", + replace: "\u2273" + }, + "\\gtrapprox": { + font: "ams", + group: "rel", + replace: "\u2a86" + }, + "\\gtrdot": { + font: "ams", + group: "bin", + replace: "\u22d7" + }, + "\\ggg": { + font: "ams", + group: "rel", + replace: "\u22d9" + }, + "\\gtrless": { + font: "ams", + group: "rel", + replace: "\u2277" + }, + "\\gtreqless": { + font: "ams", + group: "rel", + replace: "\u22db" + }, + "\\gtreqqless": { + font: "ams", + group: "rel", + replace: "\u2a8c" + }, + "\\eqcirc": { + font: "ams", + group: "rel", + replace: "\u2256" + }, + "\\circeq": { + font: "ams", + group: "rel", + replace: "\u2257" + }, + "\\triangleq": { + font: "ams", + group: "rel", + replace: "\u225c" + }, + "\\thicksim": { + font: "ams", + group: "rel", + replace: "\u223c" + }, + "\\thickapprox": { + font: "ams", + group: "rel", + replace: "\u2248" + }, + "\\supseteqq": { + font: "ams", + group: "rel", + replace: "\u2ac6" + }, + "\\Supset": { + font: "ams", + group: "rel", + replace: "\u22d1" + }, + "\\sqsupset": { + font: "ams", + group: "rel", + replace: "\u2290" + }, + "\\succcurlyeq": { + font: "ams", + group: "rel", + replace: "\u227d" + }, + "\\curlyeqsucc": { + font: "ams", + group: "rel", + replace: "\u22df" + }, + "\\succsim": { + font: "ams", + group: "rel", + replace: "\u227f" + }, + "\\succapprox": { + font: "ams", + group: "rel", + replace: "\u2ab8" + }, + "\\vartriangleright": { + font: "ams", + group: "rel", + replace: "\u22b3" + }, + "\\trianglerighteq": { + font: "ams", + group: "rel", + replace: "\u22b5" + }, + "\\Vdash": { + font: "ams", + group: "rel", + replace: "\u22a9" + }, + "\\shortmid": { + font: "ams", + group: "rel", + replace: "\u2223" + }, + "\\shortparallel": { + font: "ams", + group: "rel", + replace: "\u2225" + }, + "\\between": { + font: "ams", + group: "rel", + replace: "\u226c" + }, + "\\pitchfork": { + font: "ams", + group: "rel", + replace: "\u22d4" + }, + "\\varpropto": { + font: "ams", + group: "rel", + replace: "\u221d" + }, + "\\blacktriangleleft": { + font: "ams", + group: "rel", + replace: "\u25c0" + }, + "\\therefore": { + font: "ams", + group: "rel", + replace: "\u2234" + }, + "\\backepsilon": { + font: "ams", + group: "rel", + replace: "\u220d" + }, + "\\blacktriangleright": { + font: "ams", + group: "rel", + replace: "\u25b6" + }, + "\\because": { + font: "ams", + group: "rel", + replace: "\u2235" + }, + "\\llless": { + font: "ams", + group: "rel", + replace: "\u22d8" + }, + "\\gggtr": { + font: "ams", + group: "rel", + replace: "\u22d9" + }, + "\\lhd": { + font: "ams", + group: "bin", + replace: "\u22b2" + }, + "\\rhd": { + font: "ams", + group: "bin", + replace: "\u22b3" + }, + "\\eqsim": { + font: "ams", + group: "rel", + replace: "\u2242" + }, + "\\Join": { + font: "main", + group: "rel", + replace: "\u22c8" + }, + "\\Doteq": { + font: "ams", + group: "rel", + replace: "\u2251" + }, + + // AMS Binary Operators + "\\dotplus": { + font: "ams", + group: "bin", + replace: "\u2214" + }, + "\\smallsetminus": { + font: "ams", + group: "bin", + replace: "\u2216" + }, + "\\Cap": { + font: "ams", + group: "bin", + replace: "\u22d2" + }, + "\\Cup": { + font: "ams", + group: "bin", + replace: "\u22d3" + }, + "\\doublebarwedge": { + font: "ams", + group: "bin", + replace: "\u2a5e" + }, + "\\boxminus": { + font: "ams", + group: "bin", + replace: "\u229f" + }, + "\\boxplus": { + font: "ams", + group: "bin", + replace: "\u229e" + }, + "\\divideontimes": { + font: "ams", + group: "bin", + replace: "\u22c7" + }, + "\\ltimes": { + font: "ams", + group: "bin", + replace: "\u22c9" + }, + "\\rtimes": { + font: "ams", + group: "bin", + replace: "\u22ca" + }, + "\\leftthreetimes": { + font: "ams", + group: "bin", + replace: "\u22cb" + }, + "\\rightthreetimes": { + font: "ams", + group: "bin", + replace: "\u22cc" + }, + "\\curlywedge": { + font: "ams", + group: "bin", + replace: "\u22cf" + }, + "\\curlyvee": { + font: "ams", + group: "bin", + replace: "\u22ce" + }, + "\\circleddash": { + font: "ams", + group: "bin", + replace: "\u229d" + }, + "\\circledast": { + font: "ams", + group: "bin", + replace: "\u229b" + }, + "\\centerdot": { + font: "ams", + group: "bin", + replace: "\u22c5" + }, + "\\intercal": { + font: "ams", + group: "bin", + replace: "\u22ba" + }, + "\\doublecap": { + font: "ams", + group: "bin", + replace: "\u22d2" + }, + "\\doublecup": { + font: "ams", + group: "bin", + replace: "\u22d3" + }, + "\\boxtimes": { + font: "ams", + group: "bin", + replace: "\u22a0" + }, + + // AMS Arrows + "\\dashrightarrow": { + font: "ams", + group: "rel", + replace: "\u21e2" + }, + "\\dashleftarrow": { + font: "ams", + group: "rel", + replace: "\u21e0" + }, + "\\leftleftarrows": { + font: "ams", + group: "rel", + replace: "\u21c7" + }, + "\\leftrightarrows": { + font: "ams", + group: "rel", + replace: "\u21c6" + }, + "\\Lleftarrow": { + font: "ams", + group: "rel", + replace: "\u21da" + }, + "\\twoheadleftarrow": { + font: "ams", + group: "rel", + replace: "\u219e" + }, + "\\leftarrowtail": { + font: "ams", + group: "rel", + replace: "\u21a2" + }, + "\\looparrowleft": { + font: "ams", + group: "rel", + replace: "\u21ab" + }, + "\\leftrightharpoons": { + font: "ams", + group: "rel", + replace: "\u21cb" + }, + "\\curvearrowleft": { + font: "ams", + group: "rel", + replace: "\u21b6" + }, + "\\circlearrowleft": { + font: "ams", + group: "rel", + replace: "\u21ba" + }, + "\\Lsh": { + font: "ams", + group: "rel", + replace: "\u21b0" + }, + "\\upuparrows": { + font: "ams", + group: "rel", + replace: "\u21c8" + }, + "\\upharpoonleft": { + font: "ams", + group: "rel", + replace: "\u21bf" + }, + "\\downharpoonleft": { + font: "ams", + group: "rel", + replace: "\u21c3" + }, + "\\multimap": { + font: "ams", + group: "rel", + replace: "\u22b8" + }, + "\\leftrightsquigarrow": { + font: "ams", + group: "rel", + replace: "\u21ad" + }, + "\\rightrightarrows": { + font: "ams", + group: "rel", + replace: "\u21c9" + }, + "\\rightleftarrows": { + font: "ams", + group: "rel", + replace: "\u21c4" + }, + "\\twoheadrightarrow": { + font: "ams", + group: "rel", + replace: "\u21a0" + }, + "\\rightarrowtail": { + font: "ams", + group: "rel", + replace: "\u21a3" + }, + "\\looparrowright": { + font: "ams", + group: "rel", + replace: "\u21ac" + }, + "\\curvearrowright": { + font: "ams", + group: "rel", + replace: "\u21b7" + }, + "\\circlearrowright": { + font: "ams", + group: "rel", + replace: "\u21bb" + }, + "\\Rsh": { + font: "ams", + group: "rel", + replace: "\u21b1" + }, + "\\downdownarrows": { + font: "ams", + group: "rel", + replace: "\u21ca" + }, + "\\upharpoonright": { + font: "ams", + group: "rel", + replace: "\u21be" + }, + "\\downharpoonright": { + font: "ams", + group: "rel", + replace: "\u21c2" + }, + "\\rightsquigarrow": { + font: "ams", + group: "rel", + replace: "\u21dd" + }, + "\\leadsto": { + font: "ams", + group: "rel", + replace: "\u21dd" + }, + "\\Rrightarrow": { + font: "ams", + group: "rel", + replace: "\u21db" + }, + "\\restriction": { + font: "ams", + group: "rel", + replace: "\u21be" + }, + + "`": { + font: "main", + group: "textord", + replace: "\u2018" + }, + "\\$": { + font: "main", + group: "textord", + replace: "$" + }, + "\\%": { + font: "main", + group: "textord", + replace: "%" + }, + "\\_": { + font: "main", + group: "textord", + replace: "_" + }, + "\\angle": { + font: "main", + group: "textord", + replace: "\u2220" + }, + "\\infty": { + font: "main", + group: "textord", + replace: "\u221e" + }, + "\\prime": { + font: "main", + group: "textord", + replace: "\u2032" + }, + "\\triangle": { + font: "main", + group: "textord", + replace: "\u25b3" + }, + "\\Gamma": { + font: "main", + group: "textord", + replace: "\u0393" + }, + "\\Delta": { + font: "main", + group: "textord", + replace: "\u0394" + }, + "\\Theta": { + font: "main", + group: "textord", + replace: "\u0398" + }, + "\\Lambda": { + font: "main", + group: "textord", + replace: "\u039b" + }, + "\\Xi": { + font: "main", + group: "textord", + replace: "\u039e" + }, + "\\Pi": { + font: "main", + group: "textord", + replace: "\u03a0" + }, + "\\Sigma": { + font: "main", + group: "textord", + replace: "\u03a3" + }, + "\\Upsilon": { + font: "main", + group: "textord", + replace: "\u03a5" + }, + "\\Phi": { + font: "main", + group: "textord", + replace: "\u03a6" + }, + "\\Psi": { + font: "main", + group: "textord", + replace: "\u03a8" + }, + "\\Omega": { + font: "main", + group: "textord", + replace: "\u03a9" + }, + "\\neg": { + font: "main", + group: "textord", + replace: "\u00ac" + }, + "\\lnot": { + font: "main", + group: "textord", + replace: "\u00ac" + }, + "\\top": { + font: "main", + group: "textord", + replace: "\u22a4" + }, + "\\bot": { + font: "main", + group: "textord", + replace: "\u22a5" + }, + "\\emptyset": { + font: "main", + group: "textord", + replace: "\u2205" + }, + "\\varnothing": { + font: "ams", + group: "textord", + replace: "\u2205" + }, + "\\alpha": { + font: "main", + group: "mathord", + replace: "\u03b1" + }, + "\\beta": { + font: "main", + group: "mathord", + replace: "\u03b2" + }, + "\\gamma": { + font: "main", + group: "mathord", + replace: "\u03b3" + }, + "\\delta": { + font: "main", + group: "mathord", + replace: "\u03b4" + }, + "\\epsilon": { + font: "main", + group: "mathord", + replace: "\u03f5" + }, + "\\zeta": { + font: "main", + group: "mathord", + replace: "\u03b6" + }, + "\\eta": { + font: "main", + group: "mathord", + replace: "\u03b7" + }, + "\\theta": { + font: "main", + group: "mathord", + replace: "\u03b8" + }, + "\\iota": { + font: "main", + group: "mathord", + replace: "\u03b9" + }, + "\\kappa": { + font: "main", + group: "mathord", + replace: "\u03ba" + }, + "\\lambda": { + font: "main", + group: "mathord", + replace: "\u03bb" + }, + "\\mu": { + font: "main", + group: "mathord", + replace: "\u03bc" + }, + "\\nu": { + font: "main", + group: "mathord", + replace: "\u03bd" + }, + "\\xi": { + font: "main", + group: "mathord", + replace: "\u03be" + }, + "\\omicron": { + font: "main", + group: "mathord", + replace: "o" + }, + "\\pi": { + font: "main", + group: "mathord", + replace: "\u03c0" + }, + "\\rho": { + font: "main", + group: "mathord", + replace: "\u03c1" + }, + "\\sigma": { + font: "main", + group: "mathord", + replace: "\u03c3" + }, + "\\tau": { + font: "main", + group: "mathord", + replace: "\u03c4" + }, + "\\upsilon": { + font: "main", + group: "mathord", + replace: "\u03c5" + }, + "\\phi": { + font: "main", + group: "mathord", + replace: "\u03d5" + }, + "\\chi": { + font: "main", + group: "mathord", + replace: "\u03c7" + }, + "\\psi": { + font: "main", + group: "mathord", + replace: "\u03c8" + }, + "\\omega": { + font: "main", + group: "mathord", + replace: "\u03c9" + }, + "\\varepsilon": { + font: "main", + group: "mathord", + replace: "\u03b5" + }, + "\\vartheta": { + font: "main", + group: "mathord", + replace: "\u03d1" + }, + "\\varpi": { + font: "main", + group: "mathord", + replace: "\u03d6" + }, + "\\varrho": { + font: "main", + group: "mathord", + replace: "\u03f1" + }, + "\\varsigma": { + font: "main", + group: "mathord", + replace: "\u03c2" + }, + "\\varphi": { + font: "main", + group: "mathord", + replace: "\u03c6" + }, + "*": { + font: "main", + group: "bin", + replace: "\u2217" + }, + "+": { + font: "main", + group: "bin" + }, + "-": { + font: "main", + group: "bin", + replace: "\u2212" + }, + "\\cdot": { + font: "main", + group: "bin", + replace: "\u22c5" + }, + "\\circ": { + font: "main", + group: "bin", + replace: "\u2218" + }, + "\\div": { + font: "main", + group: "bin", + replace: "\u00f7" + }, + "\\pm": { + font: "main", + group: "bin", + replace: "\u00b1" + }, + "\\times": { + font: "main", + group: "bin", + replace: "\u00d7" + }, + "\\cap": { + font: "main", + group: "bin", + replace: "\u2229" + }, + "\\cup": { + font: "main", + group: "bin", + replace: "\u222a" + }, + "\\setminus": { + font: "main", + group: "bin", + replace: "\u2216" + }, + "\\land": { + font: "main", + group: "bin", + replace: "\u2227" + }, + "\\lor": { + font: "main", + group: "bin", + replace: "\u2228" + }, + "\\wedge": { + font: "main", + group: "bin", + replace: "\u2227" + }, + "\\vee": { + font: "main", + group: "bin", + replace: "\u2228" + }, + "\\surd": { + font: "main", + group: "textord", + replace: "\u221a" + }, + "(": { + font: "main", + group: "open" + }, + "[": { + font: "main", + group: "open" + }, + "\\langle": { + font: "main", + group: "open", + replace: "\u27e8" + }, + "\\lvert": { + font: "main", + group: "open", + replace: "\u2223" + }, + ")": { + font: "main", + group: "close" + }, + "]": { + font: "main", + group: "close" + }, + "?": { + font: "main", + group: "close" + }, + "!": { + font: "main", + group: "close" + }, + "\\rangle": { + font: "main", + group: "close", + replace: "\u27e9" + }, + "\\rvert": { + font: "main", + group: "close", + replace: "\u2223" + }, + "=": { + font: "main", + group: "rel" + }, + "<": { + font: "main", + group: "rel" + }, + ">": { + font: "main", + group: "rel" + }, + ":": { + font: "main", + group: "rel" + }, + "\\approx": { + font: "main", + group: "rel", + replace: "\u2248" + }, + "\\cong": { + font: "main", + group: "rel", + replace: "\u2245" + }, + "\\ge": { + font: "main", + group: "rel", + replace: "\u2265" + }, + "\\geq": { + font: "main", + group: "rel", + replace: "\u2265" + }, + "\\gets": { + font: "main", + group: "rel", + replace: "\u2190" + }, + "\\in": { + font: "main", + group: "rel", + replace: "\u2208" + }, + "\\notin": { + font: "main", + group: "rel", + replace: "\u2209" + }, + "\\subset": { + font: "main", + group: "rel", + replace: "\u2282" + }, + "\\supset": { + font: "main", + group: "rel", + replace: "\u2283" + }, + "\\subseteq": { + font: "main", + group: "rel", + replace: "\u2286" + }, + "\\supseteq": { + font: "main", + group: "rel", + replace: "\u2287" + }, + "\\nsubseteq": { + font: "ams", + group: "rel", + replace: "\u2288" + }, + "\\nsupseteq": { + font: "ams", + group: "rel", + replace: "\u2289" + }, + "\\models": { + font: "main", + group: "rel", + replace: "\u22a8" + }, + "\\leftarrow": { + font: "main", + group: "rel", + replace: "\u2190" + }, + "\\le": { + font: "main", + group: "rel", + replace: "\u2264" + }, + "\\leq": { + font: "main", + group: "rel", + replace: "\u2264" + }, + "\\ne": { + font: "main", + group: "rel", + replace: "\u2260" + }, + "\\neq": { + font: "main", + group: "rel", + replace: "\u2260" + }, + "\\rightarrow": { + font: "main", + group: "rel", + replace: "\u2192" + }, + "\\to": { + font: "main", + group: "rel", + replace: "\u2192" + }, + "\\ngeq": { + font: "ams", + group: "rel", + replace: "\u2271" + }, + "\\nleq": { + font: "ams", + group: "rel", + replace: "\u2270" + }, + "\\!": { + font: "main", + group: "spacing" + }, + "\\ ": { + font: "main", + group: "spacing", + replace: "\u00a0" + }, + "~": { + font: "main", + group: "spacing", + replace: "\u00a0" + }, + "\\,": { + font: "main", + group: "spacing" + }, + "\\:": { + font: "main", + group: "spacing" + }, + "\\;": { + font: "main", + group: "spacing" + }, + "\\enspace": { + font: "main", + group: "spacing" + }, + "\\qquad": { + font: "main", + group: "spacing" + }, + "\\quad": { + font: "main", + group: "spacing" + }, + "\\space": { + font: "main", + group: "spacing", + replace: "\u00a0" + }, + ",": { + font: "main", + group: "punct" + }, + ";": { + font: "main", + group: "punct" + }, + "\\colon": { + font: "main", + group: "punct", + replace: ":" + }, + "\\barwedge": { + font: "ams", + group: "textord", + replace: "\u22bc" + }, + "\\veebar": { + font: "ams", + group: "textord", + replace: "\u22bb" + }, + "\\odot": { + font: "main", + group: "bin", + replace: "\u2299" + }, + "\\oplus": { + font: "main", + group: "bin", + replace: "\u2295" + }, + "\\otimes": { + font: "main", + group: "bin", + replace: "\u2297" + }, + "\\partial":{ + font: "main", + group: "textord", + replace: "\u2202" + }, + "\\oslash": { + font: "main", + group: "bin", + replace: "\u2298" + }, + "\\circledcirc": { + font: "ams", + group: "textord", + replace: "\u229a" + }, + "\\boxdot": { + font: "ams", + group: "textord", + replace: "\u22a1" + }, + "\\bigtriangleup": { + font: "main", + group: "bin", + replace: "\u25b3" + }, + "\\bigtriangledown": { + font: "main", + group: "bin", + replace: "\u25bd" + }, + "\\dagger": { + font: "main", + group: "bin", + replace: "\u2020" + }, + "\\diamond": { + font: "main", + group: "bin", + replace: "\u22c4" + }, + "\\star": { + font: "main", + group: "bin", + replace: "\u22c6" + }, + "\\triangleleft": { + font: "main", + group: "bin", + replace: "\u25c3" + }, + "\\triangleright": { + font: "main", + group: "bin", + replace: "\u25b9" + }, + "\\{": { + font: "main", + group: "open", + replace: "{" + }, + "\\}": { + font: "main", + group: "close", + replace: "}" + }, + "\\lbrace": { + font: "main", + group: "open", + replace: "{" + }, + "\\rbrace": { + font: "main", + group: "close", + replace: "}" + }, + "\\lbrack": { + font: "main", + group: "open", + replace: "[" + }, + "\\rbrack": { + font: "main", + group: "close", + replace: "]" + }, + "\\lfloor": { + font: "main", + group: "open", + replace: "\u230a" + }, + "\\rfloor": { + font: "main", + group: "close", + replace: "\u230b" + }, + "\\lceil": { + font: "main", + group: "open", + replace: "\u2308" + }, + "\\rceil": { + font: "main", + group: "close", + replace: "\u2309" + }, + "\\backslash": { + font: "main", + group: "textord", + replace: "\\" + }, + "|": { + font: "main", + group: "textord", + replace: "\u2223" + }, + "\\vert": { + font: "main", + group: "textord", + replace: "\u2223" + }, + "\\|": { + font: "main", + group: "textord", + replace: "\u2225" + }, + "\\Vert": { + font: "main", + group: "textord", + replace: "\u2225" + }, + "\\uparrow": { + font: "main", + group: "textord", + replace: "\u2191" + }, + "\\Uparrow": { + font: "main", + group: "textord", + replace: "\u21d1" + }, + "\\downarrow": { + font: "main", + group: "textord", + replace: "\u2193" + }, + "\\Downarrow": { + font: "main", + group: "textord", + replace: "\u21d3" + }, + "\\updownarrow": { + font: "main", + group: "textord", + replace: "\u2195" + }, + "\\Updownarrow": { + font: "main", + group: "textord", + replace: "\u21d5" + }, + "\\coprod": { + font: "math", + group: "op", + replace: "\u2210" + }, + "\\bigvee": { + font: "math", + group: "op", + replace: "\u22c1" + }, + "\\bigwedge": { + font: "math", + group: "op", + replace: "\u22c0" + }, + "\\biguplus": { + font: "math", + group: "op", + replace: "\u2a04" + }, + "\\bigcap": { + font: "math", + group: "op", + replace: "\u22c2" + }, + "\\bigcup": { + font: "math", + group: "op", + replace: "\u22c3" + }, + "\\int": { + font: "math", + group: "op", + replace: "\u222b" + }, + "\\intop": { + font: "math", + group: "op", + replace: "\u222b" + }, + "\\iint": { + font: "math", + group: "op", + replace: "\u222c" + }, + "\\iiint": { + font: "math", + group: "op", + replace: "\u222d" + }, + "\\prod": { + font: "math", + group: "op", + replace: "\u220f" + }, + "\\sum": { + font: "math", + group: "op", + replace: "\u2211" + }, + "\\bigotimes": { + font: "math", + group: "op", + replace: "\u2a02" + }, + "\\bigoplus": { + font: "math", + group: "op", + replace: "\u2a01" + }, + "\\bigodot": { + font: "math", + group: "op", + replace: "\u2a00" + }, + "\\oint": { + font: "math", + group: "op", + replace: "\u222e" + }, + "\\bigsqcup": { + font: "math", + group: "op", + replace: "\u2a06" + }, + "\\smallint": { + font: "math", + group: "op", + replace: "\u222b" + }, + "\\ldots": { + font: "main", + group: "punct", + replace: "\u2026" + }, + "\\cdots": { + font: "main", + group: "inner", + replace: "\u22ef" + }, + "\\ddots": { + font: "main", + group: "inner", + replace: "\u22f1" + }, + "\\vdots": { + font: "main", + group: "textord", + replace: "\u22ee" + }, + "\\acute": { + font: "main", + group: "accent", + replace: "\u00b4" + }, + "\\grave": { + font: "main", + group: "accent", + replace: "\u0060" + }, + "\\ddot": { + font: "main", + group: "accent", + replace: "\u00a8" + }, + "\\tilde": { + font: "main", + group: "accent", + replace: "\u007e" + }, + "\\bar": { + font: "main", + group: "accent", + replace: "\u00af" + }, + "\\breve": { + font: "main", + group: "accent", + replace: "\u02d8" + }, + "\\check": { + font: "main", + group: "accent", + replace: "\u02c7" + }, + "\\hat": { + font: "main", + group: "accent", + replace: "\u005e" + }, + "\\vec": { + font: "main", + group: "accent", + replace: "\u20d7" + }, + "\\dot": { + font: "main", + group: "accent", + replace: "\u02d9" + }, + + "\\imath": { + font: "main", + group: "mathord", + replace: "\u0131" + }, + "\\jmath": { + font: "main", + group: "mathord", + replace: "\u0237" + } + }, + "text": { + "\\ ": { + font: "main", + group: "spacing", + replace: "\u00a0" + }, + " ": { + font: "main", + group: "spacing", + replace: "\u00a0" + }, + "~": { + font: "main", + group: "spacing", + replace: "\u00a0" + } + } +}; + +// There are lots of symbols which are the same, so we add them in afterwards. + +// All of these are textords in math mode +var mathTextSymbols = "0123456789/@.\""; +for (var i = 0; i < mathTextSymbols.length; i++) { + var ch = mathTextSymbols.charAt(i); + symbols.math[ch] = { + font: "main", + group: "textord" + }; +} + +// All of these are textords in text mode +var textSymbols = "0123456789`!@*()-=+[]'\";:?/.,"; +for (var i = 0; i < textSymbols.length; i++) { + var ch = textSymbols.charAt(i); + symbols.text[ch] = { + font: "main", + group: "textord" + }; +} + +// All of these are textords in text mode, and mathords in math mode +var letters = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"; +for (var i = 0; i < letters.length; i++) { + var ch = letters.charAt(i); + symbols.math[ch] = { + font: "main", + group: "mathord" + }; + symbols.text[ch] = { + font: "main", + group: "textord" + }; +} + +module.exports = symbols; + +},{}],22:[function(require,module,exports){ +/** + * This file contains a list of utility functions which are useful in other + * files. + */ + +/** + * Provide an `indexOf` function which works in IE8, but defers to native if + * possible. + */ +var nativeIndexOf = Array.prototype.indexOf; +var indexOf = function(list, elem) { + if (list == null) { + return -1; + } + if (nativeIndexOf && list.indexOf === nativeIndexOf) { + return list.indexOf(elem); + } + var i = 0, l = list.length; + for (; i < l; i++) { + if (list[i] === elem) { + return i; + } + } + return -1; +}; + +/** + * Return whether an element is contained in a list + */ +var contains = function(list, elem) { + return indexOf(list, elem) !== -1; +}; + +/** + * Provide a default value if a setting is undefined + */ +var deflt = function(setting, defaultIfUndefined) { + return setting === undefined ? defaultIfUndefined : setting; +}; + +// hyphenate and escape adapted from Facebook's React under Apache 2 license + +var uppercase = /([A-Z])/g; +var hyphenate = function(str) { + return str.replace(uppercase, "-$1").toLowerCase(); +}; + +var ESCAPE_LOOKUP = { + "&": "&", + ">": ">", + "<": "<", + "\"": """, + "'": "'" +}; + +var ESCAPE_REGEX = /[&><"']/g; + +function escaper(match) { + return ESCAPE_LOOKUP[match]; +} + +/** + * Escapes text to prevent scripting attacks. + * + * @param {*} text Text value to escape. + * @return {string} An escaped string. + */ +function escape(text) { + return ("" + text).replace(ESCAPE_REGEX, escaper); +} + +/** + * A function to set the text content of a DOM element in all supported + * browsers. Note that we don't define this if there is no document. + */ +var setTextContent; +if (typeof document !== "undefined") { + var testNode = document.createElement("span"); + if ("textContent" in testNode) { + setTextContent = function(node, text) { + node.textContent = text; + }; + } else { + setTextContent = function(node, text) { + node.innerText = text; + }; + } +} + +/** + * A function to clear a node. + */ +function clearNode(node) { + setTextContent(node, ""); +} + +module.exports = { + contains: contains, + deflt: deflt, + escape: escape, + hyphenate: hyphenate, + indexOf: indexOf, + setTextContent: setTextContent, + clearNode: clearNode +}; + +},{}]},{},[1]) +(1) +}); +;
\ No newline at end of file diff --git a/client/katex/katex.less.css b/client/katex/katex.less.css new file mode 100644 index 0000000..1eb7fb5 --- /dev/null +++ b/client/katex/katex.less.css @@ -0,0 +1,925 @@ +@font-face { + font-family: 'KaTeX_AMS'; + src: url('fonts/KaTeX_AMS-Regular.eot'); + src: url('fonts/KaTeX_AMS-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_AMS-Regular.woff2') format('woff2'), url('fonts/KaTeX_AMS-Regular.woff') format('woff'), url('fonts/KaTeX_AMS-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Caligraphic'; + src: url('fonts/KaTeX_Caligraphic-Bold.eot'); + src: url('fonts/KaTeX_Caligraphic-Bold.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Caligraphic-Bold.woff2') format('woff2'), url('fonts/KaTeX_Caligraphic-Bold.woff') format('woff'), url('fonts/KaTeX_Caligraphic-Bold.ttf') format('ttf'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Caligraphic'; + src: url('fonts/KaTeX_Caligraphic-Regular.eot'); + src: url('fonts/KaTeX_Caligraphic-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Caligraphic-Regular.woff2') format('woff2'), url('fonts/KaTeX_Caligraphic-Regular.woff') format('woff'), url('fonts/KaTeX_Caligraphic-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Fraktur'; + src: url('fonts/KaTeX_Fraktur-Bold.eot'); + src: url('fonts/KaTeX_Fraktur-Bold.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Fraktur-Bold.woff2') format('woff2'), url('fonts/KaTeX_Fraktur-Bold.woff') format('woff'), url('fonts/KaTeX_Fraktur-Bold.ttf') format('ttf'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Fraktur'; + src: url('fonts/KaTeX_Fraktur-Regular.eot'); + src: url('fonts/KaTeX_Fraktur-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Fraktur-Regular.woff2') format('woff2'), url('fonts/KaTeX_Fraktur-Regular.woff') format('woff'), url('fonts/KaTeX_Fraktur-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url('fonts/KaTeX_Main-Bold.eot'); + src: url('fonts/KaTeX_Main-Bold.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Main-Bold.woff2') format('woff2'), url('fonts/KaTeX_Main-Bold.woff') format('woff'), url('fonts/KaTeX_Main-Bold.ttf') format('ttf'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url('fonts/KaTeX_Main-Italic.eot'); + src: url('fonts/KaTeX_Main-Italic.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Main-Italic.woff2') format('woff2'), url('fonts/KaTeX_Main-Italic.woff') format('woff'), url('fonts/KaTeX_Main-Italic.ttf') format('ttf'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url('fonts/KaTeX_Main-Regular.eot'); + src: url('fonts/KaTeX_Main-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Main-Regular.woff2') format('woff2'), url('fonts/KaTeX_Main-Regular.woff') format('woff'), url('fonts/KaTeX_Main-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Math'; + src: url('fonts/KaTeX_Math-Italic.eot'); + src: url('fonts/KaTeX_Math-Italic.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Math-Italic.woff2') format('woff2'), url('fonts/KaTeX_Math-Italic.woff') format('woff'), url('fonts/KaTeX_Math-Italic.ttf') format('ttf'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_SansSerif'; + src: url('fonts/KaTeX_SansSerif-Regular.eot'); + src: url('fonts/KaTeX_SansSerif-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_SansSerif-Regular.woff2') format('woff2'), url('fonts/KaTeX_SansSerif-Regular.woff') format('woff'), url('fonts/KaTeX_SansSerif-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Script'; + src: url('fonts/KaTeX_Script-Regular.eot'); + src: url('fonts/KaTeX_Script-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Script-Regular.woff2') format('woff2'), url('fonts/KaTeX_Script-Regular.woff') format('woff'), url('fonts/KaTeX_Script-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size1'; + src: url('fonts/KaTeX_Size1-Regular.eot'); + src: url('fonts/KaTeX_Size1-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Size1-Regular.woff2') format('woff2'), url('fonts/KaTeX_Size1-Regular.woff') format('woff'), url('fonts/KaTeX_Size1-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size2'; + src: url('fonts/KaTeX_Size2-Regular.eot'); + src: url('fonts/KaTeX_Size2-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Size2-Regular.woff2') format('woff2'), url('fonts/KaTeX_Size2-Regular.woff') format('woff'), url('fonts/KaTeX_Size2-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size3'; + src: url('fonts/KaTeX_Size3-Regular.eot'); + src: url('fonts/KaTeX_Size3-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Size3-Regular.woff2') format('woff2'), url('fonts/KaTeX_Size3-Regular.woff') format('woff'), url('fonts/KaTeX_Size3-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Size4'; + src: url('fonts/KaTeX_Size4-Regular.eot'); + src: url('fonts/KaTeX_Size4-Regular.eot#iefix') format('embedded-opentype'), url('fonts/KaTeX_Size4-Regular.woff2') format('woff2'), url('fonts/KaTeX_Size4-Regular.woff') format('woff'), url('fonts/KaTeX_Size4-Regular.ttf') format('ttf'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 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u=1;n.prototype.handleSupSubscript=function(e,t,i,a){var r=this.parseGroup(e,t);if(!r){throw new c("Expected group after '"+i+"'",this.lexer,e)}else if(r.isFunction){var l=h.funcs[r.result.result].greediness;if(l>u){return this.parseFunction(e,t)}else{throw new c("Got function '"+r.result.result+"' with no arguments "+"as "+a,this.lexer,e)}}else{return r.result}};n.prototype.parseAtom=function(e,t){var i=this.parseImplicitGroup(e,t);if(t==="text"){return i}var h;if(!i){h=e;i=undefined}else{h=i.position}var a;var r;var l;while(true){var s=this.lexer.lex(h,t);if(s.text==="^"){if(a){throw new c("Double superscript",this.lexer,h)}l=this.handleSupSubscript(s.position,t,s.text,"superscript");h=l.position;a=l.result}else if(s.text==="_"){if(r){throw new c("Double subscript",this.lexer,h)}l=this.handleSupSubscript(s.position,t,s.text,"subscript");h=l.position;r=l.result}else if(s.text==="'"){var p=new g("textord","\\prime",t);var n=[p];h=s.position;while((s=this.lexer.lex(h,t)).text==="'"){n.push(p);h=s.position}a=new g("ordgroup",n,t)}else{break}}if(a||r){return new o(new g("supsub",{base:i&&i.result,sup:a,sub:r},t),h)}else{return i}};var k=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var m=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];n.prototype.parseImplicitGroup=function(e,t){var i=this.parseSymbol(e,t);if(!i||!i.result){return this.parseFunction(e,t)}var h=i.result.result;var r;if(h==="\\left"){var l=this.parseFunction(e,t);r=this.parseExpression(l.position,t,false);this.expect(r.peek,"\\right");var p=this.parseFunction(r.position,t);return new o(new g("leftright",{body:r.result,left:l.result.value.value,right:p.result.value.value},t),p.position)}else if(h==="\\begin"){var n=this.parseFunction(e,t);var d=n.result.value.name;if(!a.hasOwnProperty(d)){throw new c("No such environment: "+d,this.lexer,n.result.value.namepos)}var w=a[d];var u=[null,t,d];var f=this.parseArguments(n.position,t,"\\begin{"+d+"}",w,u);u[0]=f;var v=w.handler.apply(this,u);var y=this.lexer.lex(v.position,t);this.expect(y,"\\end");var x=this.parseFunction(v.position,t);if(x.result.value.name!==d){throw new c("Mismatch: \\begin{"+d+"} matched "+"by \\end{"+x.result.value.name+"}",this.lexer,x.namepos)}v.position=x.position;return v}else if(s.contains(k,h)){r=this.parseExpression(i.result.position,t,false);return new o(new g("sizing",{size:"size"+(s.indexOf(k,h)+1),value:r.result},t),r.position)}else if(s.contains(m,h)){r=this.parseExpression(i.result.position,t,true);return new o(new g("styling",{style:h.slice(1,h.length-5),value:r.result},t),r.position)}else{return this.parseFunction(e,t)}};n.prototype.parseFunction=function(e,t){var i=this.parseGroup(e,t);if(i){if(i.isFunction){var a=i.result.result;var r=h.funcs[a];if(t==="text"&&!r.allowedInText){throw new c("Can't use function '"+a+"' in text mode",this.lexer,i.position)}var l=[a];var s=this.parseArguments(i.result.position,t,a,r,l);var p=h.funcs[a].handler.apply(this,l);return new o(new g(p.type,p,t),s)}else{return i.result}}else{return null}};n.prototype.parseArguments=function(e,t,i,a,r){var l=a.numArgs+a.numOptionalArgs;if(l===0){return e}var s=e;var p=a.greediness;var n=[s];for(var g=0;g<l;g++){var o=a.argTypes&&a.argTypes[g];var d;if(g<a.numOptionalArgs){if(o){d=this.parseSpecialGroup(s,o,t,true)}else{d=this.parseOptionalGroup(s,t)}if(!d){r.push(null);n.push(s);continue}}else{if(o){d=this.parseSpecialGroup(s,o,t)}else{d=this.parseGroup(s,t)}if(!d){throw new c("Expected group after '"+i+"'",this.lexer,s)}}var w;if(d.isFunction){var u=h.funcs[d.result.result].greediness;if(u>p){w=this.parseFunction(s,t)}else{throw new c("Got function '"+d.result.result+"' as "+"argument to '"+i+"'",this.lexer,d.result.position-1)}}else{w=d.result}r.push(w.result);n.push(w.position);s=w.position}r.push(n);return s};n.prototype.parseSpecialGroup=function(e,t,i,h){if(t==="original"){t=i}if(t==="color"||t==="size"){var a=this.lexer.lex(e,i);if(h&&a.text!=="["){return null}this.expect(a,h?"[":"{");var r=this.lexer.lex(a.position,t);var l;if(t==="color"){l=r.text}else{l=r.data}var s=this.lexer.lex(r.position,i);this.expect(s,h?"]":"}");return new d(new o(new g(t,l,i),s.position),false)}else if(t==="text"){var p=this.lexer.lex(e,"whitespace");e=p.position}if(h){return this.parseOptionalGroup(e,t)}else{return this.parseGroup(e,t)}};n.prototype.parseGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text==="{"){var h=this.parseExpression(i.position,t,false);var a=this.lexer.lex(h.position,t);this.expect(a,"}");return new d(new o(new g("ordgroup",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};n.prototype.parseOptionalGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text==="["){var h=this.parseExpression(i.position,t,false,"]");var a=this.lexer.lex(h.position,t);this.expect(a,"]");return new d(new o(new g("ordgroup",h.result,t),a.position),false)}else{return null}};n.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.text]){return new d(new o(i.text,i.position),true)}else if(l[t][i.text]){return new d(new o(new g(l[t][i.text].group,i.text,t),i.position),false)}else{return null}};n.prototype.ParseNode=g;t.exports=n},{"./Lexer":3,"./ParseError":5,"./environments":15,"./functions":17,"./parseData":19,"./symbols":21,"./utils":22}],7:[function(e,t,i){function h(e,t){return e===undefined?t:e}function a(e){e=e||{};this.displayMode=h(e.displayMode,false)}t.exports=a},{}],8:[function(e,t,i){function h(e,t,i,h){this.id=e;this.size=t;this.cramped=h;this.sizeMultiplier=i}h.prototype.sup=function(){return w[u[this.id]]};h.prototype.sub=function(){return w[k[this.id]]};h.prototype.fracNum=function(){return w[m[this.id]]};h.prototype.fracDen=function(){return w[f[this.id]]};h.prototype.cramp=function(){return w[v[this.id]]};h.prototype.cls=function(){return o[this.size]+(this.cramped?" cramped":" uncramped")};h.prototype.reset=function(){return d[this.size]};var a=0;var r=1;var l=2;var s=3;var p=4;var c=5;var n=6;var g=7;var o=["displaystyle textstyle","textstyle","scriptstyle","scriptscriptstyle"];var d=["reset-textstyle","reset-textstyle","reset-scriptstyle","reset-scriptscriptstyle"];var w=[new h(a,0,1,false),new h(r,0,1,true),new h(l,1,1,false),new h(s,1,1,true),new h(p,2,.7,false),new h(c,2,.7,true),new h(n,3,.5,false),new h(g,3,.5,true)];var u=[p,c,p,c,n,g,n,g];var k=[c,c,c,c,g,g,g,g];var m=[l,s,p,c,n,g,n,g];var f=[s,s,c,c,g,g,g,g];var v=[r,r,s,s,c,c,g,g];t.exports={DISPLAY:w[a],TEXT:w[l],SCRIPT:w[p],SCRIPTSCRIPT:w[n]}},{}],9:[function(e,t,i){var h=e("./domTree");var a=e("./fontMetrics");var r=e("./symbols");var l=e("./utils");var s=function(e,t,i,l,s){if(r[i][e]&&r[i][e].replace){e=r[i][e].replace}var p=a.getCharacterMetrics(e,t);var c;if(p){c=new h.symbolNode(e,p.height,p.depth,p.italic,p.skew,s)}else{typeof console!=="undefined"&&console.warn("No character metrics for '"+e+"' in style '"+t+"'");c=new h.symbolNode(e,0,0,0,0,s)}if(l){c.style.color=l}return c};var p=function(e,t,i,h){if(r[t][e].font==="main"){return s(e,"Main-Regular",t,i,h)}else{return s(e,"AMS-Regular",t,i,h.concat(["amsrm"]))}};var c=function(e,t,i,h,a){if(a==="mathord"){return n(e,t,i,h)}else if(a==="textord"){return s(e,"Main-Regular",t,i,h.concat(["mathrm"]))}else{throw new Error("unexpected type: "+a+" in mathDefault")}};var n=function(e,t,i,h){if(/[0-9]/.test(e.charAt(0))||l.contains(["\u0131","\u0237"],e)||l.contains(v,e)){return s(e,"Main-Italic",t,i,h.concat(["mainit"]))}else{return s(e,"Math-Italic",t,i,h.concat(["mathit"]))}};var g=function(e,t,i){var h=e.mode;var p=e.value;if(r[h][p]&&r[h][p].replace){p=r[h][p].replace}var g=["mord"];var o=t.getColor();var d=t.font;if(d){if(d==="mathit"||l.contains(["\u0131","\u0237"],p)){return n(p,h,o,g.concat(["mathit"]))}else{var w=y[d].fontName;if(a.getCharacterMetrics(p,w)){return s(p,w,h,o,g.concat([d]))}else{return c(p,h,o,g,i)}}}else{return c(p,h,o,g,i)}};var o=function(e){var t=0;var i=0;var h=0;if(e.children){for(var a=0;a<e.children.length;a++){if(e.children[a].height>t){t=e.children[a].height}if(e.children[a].depth>i){i=e.children[a].depth}if(e.children[a].maxFontSize>h){h=e.children[a].maxFontSize}}}e.height=t;e.depth=i;e.maxFontSize=h};var d=function(e,t,i){var a=new h.span(e,t);o(a);if(i){a.style.color=i}return a};var w=function(e){var t=new h.documentFragment(e);o(t);return t};var u=function(e,t){var i=d([],[new h.symbolNode("\u200b")]);i.style.fontSize=t/e.style.sizeMultiplier+"em";var a=d(["fontsize-ensurer","reset-"+e.size,"size5"],[i]);return a};var k=function(e,t,i,a){var r;var l;var s;if(t==="individualShift"){var p=e;e=[p[0]];r=-p[0].shift-p[0].elem.depth;l=r;for(s=1;s<p.length;s++){var c=-p[s].shift-l-p[s].elem.depth;var n=c-(p[s-1].elem.height+p[s-1].elem.depth);l=l+c;e.push({type:"kern",size:n});e.push(p[s])}}else if(t==="top"){var g=i;for(s=0;s<e.length;s++){if(e[s].type==="kern"){g-=e[s].size}else{g-=e[s].elem.height+e[s].elem.depth}}r=g}else if(t==="bottom"){r=-i}else if(t==="shift"){r=-e[0].elem.depth-i}else if(t==="firstBaseline"){r=-e[0].elem.depth}else{r=0}var o=0;for(s=0;s<e.length;s++){if(e[s].type==="elem"){o=Math.max(o,e[s].elem.maxFontSize)}}var w=u(a,o);var k=[];l=r;for(s=0;s<e.length;s++){if(e[s].type==="kern"){l+=e[s].size}else{var m=e[s].elem;var f=-m.depth-l;l+=m.height+m.depth;var v=d([],[w,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";k.push(v)}}var y=d(["baseline-fix"],[w,new h.symbolNode("\u200b")]);k.push(y);var x=d(["vlist"],k);x.height=Math.max(l,x.height);x.depth=Math.max(-r,x.depth);return x};var m={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var f={"\\qquad":{size:"2em",className:"qquad"},"\\quad":{size:"1em",className:"quad"},"\\enspace":{size:"0.5em",className:"enspace"},"\\;":{size:"0.277778em",className:"thickspace"},"\\:":{size:"0.22222em",className:"mediumspace"},"\\,":{size:"0.16667em",className:"thinspace"},"\\!":{size:"-0.16667em",className:"negativethinspace"}};var v=["\\Gamma","\\Delta","\\Theta","\\Lambda","\\Xi","\\Pi","\\Sigma","\\Upsilon","\\Phi","\\Psi","\\Omega"];var y={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}};t.exports={makeSymbol:s,fontMap:y,mathsym:p,makeSpan:d,makeFragment:w,makeVList:k,makeOrd:g,sizingMultiplier:m,spacingFunctions:f}},{"./domTree":14,"./fontMetrics":16,"./symbols":21,"./utils":22}],10:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var r=e("./Style");var l=e("./buildCommon");var s=e("./delimiter");var p=e("./domTree");var c=e("./fontMetrics");var n=e("./utils");var g=l.makeSpan;var o=function(e,t,i){var h=[];for(var a=0;a<e.length;a++){var r=e[a];h.push(y(r,t,i));i=r}return h};var d={mathord:"mord",textord:"mord",bin:"mbin",rel:"mrel",text:"mord",open:"mopen",close:"mclose",inner:"minner",genfrac:"mord",array:"minner",spacing:"mord",punct:"mpunct",ordgroup:"mord",op:"mop",katex:"mord",overline:"mord",rule:"mord",leftright:"minner",sqrt:"mord",accent:"mord"};var w=function(e){if(e==null){return d.mathord}else if(e.type==="supsub"){return w(e.value.base)}else if(e.type==="llap"||e.type==="rlap"){return w(e.value)}else if(e.type==="color"){return w(e.value.value)}else if(e.type==="sizing"){return w(e.value.value)}else if(e.type==="styling"){return w(e.value.value)}else if(e.type==="delimsizing"){return d[e.value.delimType]}else{return d[e.type]}};var u=function(e,t){if(!e){return false}else if(e.type==="op"){return e.value.limits&&t.style.size===r.DISPLAY.size}else if(e.type==="accent"){return m(e.value.base)}else{return null}};var k=function(e){if(!e){return false}else if(e.type==="ordgroup"){if(e.value.length===1){return k(e.value[0])}else{return e}}else if(e.type==="color"){if(e.value.value.length===1){return k(e.value.value[0])}else{return e}}else{return e}};var m=function(e){var t=k(e);return t.type==="mathord"||t.type==="textord"||t.type==="bin"||t.type==="rel"||t.type==="inner"||t.type==="open"||t.type==="close"||t.type==="punct"};var f=function(e){return g(["sizing","reset-"+e.size,"size5",e.style.reset(),r.TEXT.cls(),"nulldelimiter"])};var v={mathord:function(e,t,i){return l.makeOrd(e,t,"mathord")},textord:function(e,t,i){return l.makeOrd(e,t,"textord")},bin:function(e,t,i){var h="mbin";var a=i;while(a&&a.type==="color"){var r=a.value.value;a=r[r.length-1]}if(!i||n.contains(["mbin","mopen","mrel","mop","mpunct"],w(a))){e.type="textord";h="mord"}return l.mathsym(e.value,e.mode,t.getColor(),[h])},rel:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mrel"])},open:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mopen"])},close:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mclose"])},inner:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["minner"])},punct:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mpunct"])},ordgroup:function(e,t,i){return g(["mord",t.style.cls()],o(e.value,t.reset()))},text:function(e,t,i){return g(["text","mord",t.style.cls()],o(e.value.body,t.reset()))},color:function(e,t,i){var h=o(e.value.value,t.withColor(e.value.color),i);return new l.makeFragment(h)},supsub:function(e,t,i){if(u(e.value.base,t)){return v[e.value.base.type](e,t,i)}var h=y(e.value.base,t.reset());var a,s,n,o;if(e.value.sup){n=y(e.value.sup,t.withStyle(t.style.sup()));a=g([t.style.reset(),t.style.sup().cls()],[n])}if(e.value.sub){o=y(e.value.sub,t.withStyle(t.style.sub()));s=g([t.style.reset(),t.style.sub().cls()],[o])}var d,k;if(m(e.value.base)){d=0;k=0}else{d=h.height-c.metrics.supDrop;k=h.depth+c.metrics.subDrop}var f;if(t.style===r.DISPLAY){f=c.metrics.sup1}else if(t.style.cramped){f=c.metrics.sup3}else{f=c.metrics.sup2}var x=r.TEXT.sizeMultiplier*t.style.sizeMultiplier;var b=.5/c.metrics.ptPerEm/x+"em";var z;if(!e.value.sup){k=Math.max(k,c.metrics.sub1,o.height-.8*c.metrics.xHeight);z=l.makeVList([{type:"elem",elem:s}],"shift",k,t);z.children[0].style.marginRight=b;if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}}else if(!e.value.sub){d=Math.max(d,f,n.depth+.25*c.metrics.xHeight);z=l.makeVList([{type:"elem",elem:a}],"shift",-d,t);z.children[0].style.marginRight=b}else{d=Math.max(d,f,n.depth+.25*c.metrics.xHeight);k=Math.max(k,c.metrics.sub2);var S=c.metrics.defaultRuleThickness;if(d-n.depth-(o.height-k)<4*S){k=4*S-(d-n.depth)+o.height;var M=.8*c.metrics.xHeight-(d-n.depth);if(M>0){d+=M;k-=M}}z=l.makeVList([{type:"elem",elem:s,shift:k},{type:"elem",elem:a,shift:-d}],"individualShift",null,t);if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}z.children[0].style.marginRight=b;z.children[1].style.marginRight=b}return g([w(e.value.base)],[h,z])},genfrac:function(e,t,i){var h=t.style;if(e.value.size==="display"){h=r.DISPLAY}else if(e.value.size==="text"){h=r.TEXT}var a=h.fracNum();var p=h.fracDen();var n=y(e.value.numer,t.withStyle(a));var o=g([h.reset(),a.cls()],[n]);var d=y(e.value.denom,t.withStyle(p));var w=g([h.reset(),p.cls()],[d]);var u;if(e.value.hasBarLine){u=c.metrics.defaultRuleThickness/t.style.sizeMultiplier}else{u=0}var k;var m;var v;if(h.size===r.DISPLAY.size){k=c.metrics.num1;if(u>0){m=3*u}else{m=7*c.metrics.defaultRuleThickness}v=c.metrics.denom1}else{if(u>0){k=c.metrics.num2;m=u}else{k=c.metrics.num3;m=3*c.metrics.defaultRuleThickness}v=c.metrics.denom2}var x;if(u===0){var b=k-n.depth-(d.height-v);if(b<m){k+=.5*(m-b);v+=.5*(m-b)}x=l.makeVList([{type:"elem",elem:w,shift:v},{type:"elem",elem:o,shift:-k}],"individualShift",null,t)}else{var z=c.metrics.axisHeight;if(k-n.depth-(z+.5*u)<m){k+=m-(k-n.depth-(z+.5*u))}if(z-.5*u-(d.height-v)<m){v+=m-(z-.5*u-(d.height-v))}var S=g([t.style.reset(),r.TEXT.cls(),"frac-line"]);S.height=u;var M=-(z-.5*u);x=l.makeVList([{type:"elem",elem:w,shift:v},{type:"elem",elem:S,shift:M},{type:"elem",elem:o,shift:-k}],"individualShift",null,t)}x.height*=h.sizeMultiplier/t.style.sizeMultiplier;x.depth*=h.sizeMultiplier/t.style.sizeMultiplier;var q;if(h.size===r.DISPLAY.size){q=c.metrics.delim1}else{q=c.metrics.getDelim2(h)}var A,T;if(e.value.leftDelim==null){A=f(t)}else{A=s.customSizedDelim(e.value.leftDelim,q,true,t.withStyle(h),e.mode)}if(e.value.rightDelim==null){T=f(t)}else{T=s.customSizedDelim(e.value.rightDelim,q,true,t.withStyle(h),e.mode)}return g(["mord",t.style.reset(),h.cls()],[A,g(["mfrac"],[x]),T],t.getColor())},array:function(e,t,i){var h,a;var r=e.value.body.length;var s=0;var p=new Array(r);var o=1/c.metrics.ptPerEm;var d=5*o;var w=12*o;var u=n.deflt(e.value.arraystretch,1);var 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d=(h.height+h.depth)*t.style.sizeMultiplier;var w=d+o+a;var u=g(["sqrt-sign"],[s.customSizedDelim("\\surd",w,false,t,e.mode)],t.getColor());var k=u.height+u.depth-a;if(k>h.height+h.depth+o){o=(o+k-h.height-h.depth)/2}var m=-(h.height+o+a)+u.height;u.style.top=m+"em";u.height-=m;u.depth+=m;var f;if(h.height===0&&h.depth===0){f=g()}else{f=l.makeVList([{type:"elem",elem:h},{type:"kern",size:o},{type:"elem",elem:p},{type:"kern",size:a}],"firstBaseline",null,t)}if(!e.value.index){return g(["sqrt","mord"],[u,f])}else{var v=y(e.value.index,t.withStyle(r.SCRIPTSCRIPT));var x=g([t.style.reset(),r.SCRIPTSCRIPT.cls()],[v]);var b=Math.max(u.height,f.height);var z=Math.max(u.depth,f.depth);var S=.6*(b-z);var M=l.makeVList([{type:"elem",elem:x}],"shift",-S,t);var q=g(["root"],[M]);return g(["sqrt","mord"],[q,u,f])}},sizing:function(e,t,i){var h=o(e.value.value,t.withSize(e.value.size),i);var a=g(["mord"],[g(["sizing","reset-"+t.size,e.value.size,t.style.cls()],h)]);var 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g(["minner",t.style.cls()],h,t.getColor())},rule:function(e,t,i){var h=g(["mord","rule"],[],t.getColor());var a=0;if(e.value.shift){a=e.value.shift.number;if(e.value.shift.unit==="ex"){a*=c.metrics.xHeight}}var r=e.value.width.number;if(e.value.width.unit==="ex"){r*=c.metrics.xHeight}var l=e.value.height.number;if(e.value.height.unit==="ex"){l*=c.metrics.xHeight}a/=t.style.sizeMultiplier;r/=t.style.sizeMultiplier;l/=t.style.sizeMultiplier;h.style.borderRightWidth=r+"em";h.style.borderTopWidth=l+"em";h.style.bottom=a+"em"; +h.width=r;h.height=l+a;h.depth=-a;return h},accent:function(e,t,i){var h=e.value.base;var a;if(e.type==="supsub"){var r=e;e=r.value.base;h=e.value.base;r.value.base=h;a=y(r,t.reset(),i)}var s=y(h,t.withStyle(t.style.cramp()));var p;if(m(h)){var n=k(h);var o=y(n,t.withStyle(t.style.cramp()));p=o.skew}else{p=0}var d=Math.min(s.height,c.metrics.xHeight);var w=l.makeSymbol(e.value.accent,"Main-Regular","math",t.getColor());w.italic=0;var u=e.value.accent==="\\vec"?"accent-vec":null;var f=g(["accent-body",u],[g([],[w])]);f=l.makeVList([{type:"elem",elem:s},{type:"kern",size:-d},{type:"elem",elem:f}],"firstBaseline",null,t);f.children[1].style.marginLeft=2*p+"em";var v=g(["mord","accent"],[f]);if(a){a.children[0]=v;a.height=Math.max(v.height,a.height);a.classes[0]="mord";return a}else{return v}},phantom:function(e,t,i){var h=o(e.value.value,t.withPhantom(),i);return new l.makeFragment(h)}};var y=function(e,t,i){if(!e){return g()}if(v[e.type]){var h=v[e.type](e,t,i);var r;if(t.style!==t.parentStyle){r=t.style.sizeMultiplier/t.parentStyle.sizeMultiplier;h.height*=r;h.depth*=r}if(t.size!==t.parentSize){r=l.sizingMultiplier[t.size]/l.sizingMultiplier[t.parentSize];h.height*=r;h.depth*=r}return h}else{throw new a("Got group of unknown type: '"+e.type+"'")}};var x=function(e,t){e=JSON.parse(JSON.stringify(e));var i=r.TEXT;if(t.displayMode){i=r.DISPLAY}var a=new h({style:i,size:"size5"});var l=o(e,a);var s=g(["base",a.style.cls()],l);var p=g(["strut"]);var c=g(["strut","bottom"]);p.style.height=s.height+"em";c.style.height=s.height+s.depth+"em";c.style.verticalAlign=-s.depth+"em";var n=g(["katex-html"],[p,c,s]);n.setAttribute("aria-hidden","true");return n};t.exports=x},{"./Options":4,"./ParseError":5,"./Style":8,"./buildCommon":9,"./delimiter":13,"./domTree":14,"./fontMetrics":16,"./utils":22}],11:[function(e,t,i){var h=e("./buildCommon");var a=e("./fontMetrics");var r=e("./mathMLTree");var l=e("./Options");var s=e("./ParseError");var p=e("../src/Settings");var c=e("./Style");var n=e("./symbols");var g=e("./utils");var o=h.makeSpan;var d=h.fontMap;var w=function(e,t){if(n[t][e]&&n[t][e].replace){e=n[t][e].replace}return new r.TextNode(e)};var u=function(e,t){var i=t.font;if(!i){return null}var h=e.mode;if(i==="mathit"){return"italic"}var r=e.value;if(g.contains(["\\imath","\\jmath"],r)){return null}if(n[h][r]&&n[h][r].replace){r=n[h][r].replace}var 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r.MathNode("mrow",i);return h},text:function(e,t){var i=m(e.value.body,t);var h=new r.MathNode("mtext",i);return h},color:function(e,t){var i=m(e.value.value,t);var h=new r.MathNode("mstyle",i);h.setAttribute("mathcolor",e.value.color);return h},supsub:function(e,t){var i=[f(e.value.base,t)];if(e.value.sub){i.push(f(e.value.sub,t))}if(e.value.sup){i.push(f(e.value.sup,t))}var h;if(!e.value.sub){h="msup"}else if(!e.value.sup){h="msub"}else{h="msubsup"}var a=new r.MathNode(h,i);return a},genfrac:function(e,t){var i=new r.MathNode("mfrac",[f(e.value.numer,t),f(e.value.denom,t)]);if(!e.value.hasBarLine){i.setAttribute("linethickness","0px")}if(e.value.leftDelim!=null||e.value.rightDelim!=null){var h=[];if(e.value.leftDelim!=null){var a=new r.MathNode("mo",[new r.TextNode(e.value.leftDelim)]);a.setAttribute("fence","true");h.push(a)}h.push(i);if(e.value.rightDelim!=null){var l=new r.MathNode("mo",[new r.TextNode(e.value.rightDelim)]);l.setAttribute("fence","true");h.push(l)}var s=new r.MathNode("mrow",h);return s}return i},array:function(e,t){return new r.MathNode("mtable",e.value.body.map(function(e){return new r.MathNode("mtr",e.map(function(e){return new r.MathNode("mtd",[f(e,t)])}))}))},sqrt:function(e,t){var i;if(e.value.index){i=new r.MathNode("mroot",[f(e.value.body,t),f(e.value.index,t)])}else{i=new r.MathNode("msqrt",[f(e.value.body,t)])}return i},leftright:function(e,t){var i=m(e.value.body,t);if(e.value.left!=="."){var h=new r.MathNode("mo",[w(e.value.left,e.mode)]);h.setAttribute("fence","true");i.unshift(h)}if(e.value.right!=="."){var a=new r.MathNode("mo",[w(e.value.right,e.mode)]);a.setAttribute("fence","true");i.push(a)}var l=new r.MathNode("mrow",i);return l},accent:function(e,t){var i=new r.MathNode("mo",[w(e.value.accent,e.mode)]);var h=new r.MathNode("mover",[f(e.value.base,t),i]);h.setAttribute("accent","true");return h},spacing:function(e){var t;if(e.value==="\\ "||e.value==="\\space"||e.value===" "||e.value==="~"){t=new r.MathNode("mtext",[new r.TextNode("\xa0")])}else{t=new r.MathNode("mspace");t.setAttribute("width",h.spacingFunctions[e.value].size)}return t},op:function(e){var t;if(e.value.symbol){t=new r.MathNode("mo",[w(e.value.body,e.mode)])}else{t=new r.MathNode("mi",[new r.TextNode(e.value.body.slice(1))])}return t},katex:function(e){var t=new r.MathNode("mtext",[new r.TextNode("KaTeX")]);return t},font:function(e,t){var i=e.value.font;var h=f(e.value.body,t.withFont(i));return h},delimsizing:function(e){var t=[];if(e.value.value!=="."){t.push(w(e.value.value,e.mode))}var i=new r.MathNode("mo",t);if(e.value.delimType==="open"||e.value.delimType==="close"){i.setAttribute("fence","true")}else{i.setAttribute("fence","false")}return i},styling:function(e,t){var i=m(e.value.value,t);var h=new r.MathNode("mstyle",i);var a={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]};var 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if(e.size===h.SCRIPT.size){return M}else if(e.size===h.SCRIPTSCRIPT.size){return q}throw new Error("Unexpected style size: "+e.size)}};var 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n=/[&><"']/g;function g(e){return c[e]}function o(e){return(""+e).replace(n,g)}var d;if(typeof document!=="undefined"){var w=document.createElement("span");if("textContent"in w){d=function(e,t){e.textContent=t}}else{d=function(e,t){e.innerText=t}}}function u(e){d(e,"")}t.exports={contains:r,deflt:l,escape:o,hyphenate:p,indexOf:a,setTextContent:d,clearNode:u}},{}]},{},[1])(1)}); diff --git a/client/katex/katex.tar.gz b/client/katex/katex.tar.gz Binary files differnew file mode 100644 index 0000000..33bd35e --- /dev/null +++ b/client/katex/katex.tar.gz diff --git a/client/katex/katex.zip b/client/katex/katex.zip Binary files differnew file mode 100644 index 0000000..7339b35 --- /dev/null +++ b/client/katex/katex.zip diff --git a/client/katex/katex/README.md b/client/katex/katex/README.md new file mode 100644 index 0000000..3fd2431 --- /dev/null +++ b/client/katex/katex/README.md @@ -0,0 +1,64 @@ +# [<img src="https://khan.github.io/KaTeX/katex-logo.svg" width="130" alt="KaTeX">](https://khan.github.io/KaTeX/) [](https://travis-ci.org/Khan/KaTeX) + +KaTeX is a fast, easy-to-use JavaScript library for TeX math rendering on the web. + + * **Fast:** KaTeX renders its math synchronously and doesn't need to reflow the page. See how it compares to a competitor in [this speed test](http://jsperf.com/katex-vs-mathjax/). + * **Print quality:** KaTeX’s layout is based on Donald Knuth’s TeX, the gold standard for math typesetting. + * **Self contained:** KaTeX has no dependencies and can easily be bundled with your website resources. + * **Server side rendering:** KaTeX produces the same output regardless of browser or environment, so you can pre-render expressions using Node.js and send them as plain HTML. + +KaTeX supports all major browsers, including Chrome, Safari, Firefox, Opera, and IE 8 - IE 11. A list of supported commands can be on the [wiki](https://github.com/Khan/KaTeX/wiki/Function-Support-in-KaTeX). + +## Usage + +You can [download KaTeX](https://github.com/khan/katex/releases) and host it on your server or include the `katex.min.js` and `katex.min.css` files on your page directly from a CDN: + +```html +<link rel="stylesheet" href="//cdnjs.cloudflare.com/ajax/libs/KaTeX/0.3.0/katex.min.css"> +<script src="//cdnjs.cloudflare.com/ajax/libs/KaTeX/0.3.0/katex.min.js"></script> +``` + +#### In-browser rendering + +Call `katex.render` with a TeX expression and a DOM element to render into: + +```js +katex.render("c = \\pm\\sqrt{a^2 + b^2}", element); +``` + +If KaTeX can't parse the expression, it throws a `katex.ParseError` error. + +#### Server side rendering or rendering to a string + +To generate HTML on the server or to generate an HTML string of the rendered math, you can use `katex.renderToString`: + +```js +var html = katex.renderToString("c = \\pm\\sqrt{a^2 + b^2}"); +// '<span class="katex">...</span>' +``` + +Make sure to include the CSS and font files, but there is no need to include the JavaScript. Like `render`, `renderToString` throws if it can't parse the expression. + +#### Rendering options + +You can provide an object of options as the last argument to `katex.render` and `katex.renderToString`. Available options are: + +- `displayMode`: `boolean`. If `true` the math will be rendered in display mode, which will put the math in display style (so `\int` and `\sum` are large, for example), and will center the math on the page on its own line. If `false` the math will be rendered in inline mode. (default: `false`) + +For example: + +```js +katex.render("c = \\pm\\sqrt{a^2 + b^2}", element, { displayMode: true }); +``` + +#### Automatic rendering of math on a page + +Math on the page can be automatically rendered using the auto-render extension. See [the Auto-render README](contrib/auto-render/README.md) for more information. + +## Contributing + +See [CONTRIBUTING.md](CONTRIBUTING.md) + +## License + +KaTeX is licensed under the [MIT License](http://opensource.org/licenses/MIT). diff --git a/client/katex/katex/contrib/auto-render.min.js b/client/katex/katex/contrib/auto-render.min.js new file mode 100644 index 0000000..5eab253 --- /dev/null +++ b/client/katex/katex/contrib/auto-render.min.js @@ -0,0 +1 @@ +(function(e){if("function"==typeof bootstrap)bootstrap("rendermathinelement",e);else if("object"==typeof exports)module.exports=e();else if("function"==typeof define&&define.amd)define(e);else if("undefined"!=typeof ses){if(!ses.ok())return;ses.makeRenderMathInElement=e}else"undefined"!=typeof window?window.renderMathInElement=e():global.renderMathInElement=e()})(function(){var e,t,r,n,a;return function i(e,t,r){function n(o,l){if(!t[o]){if(!e[o]){var f=typeof require=="function"&&require;if(!l&&f)return f(o,!0);if(a)return 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u=1;n.prototype.handleSupSubscript=function(e,t,i,a){var r=this.parseGroup(e,t);if(!r){throw new c("Expected group after '"+i+"'",this.lexer,e)}else if(r.isFunction){var l=h.funcs[r.result.result].greediness;if(l>u){return this.parseFunction(e,t)}else{throw new c("Got function '"+r.result.result+"' with no arguments "+"as "+a,this.lexer,e)}}else{return r.result}};n.prototype.parseAtom=function(e,t){var i=this.parseImplicitGroup(e,t);if(t==="text"){return i}var h;if(!i){h=e;i=undefined}else{h=i.position}var a;var r;var l;while(true){var s=this.lexer.lex(h,t);if(s.text==="^"){if(a){throw new c("Double superscript",this.lexer,h)}l=this.handleSupSubscript(s.position,t,s.text,"superscript");h=l.position;a=l.result}else if(s.text==="_"){if(r){throw new c("Double subscript",this.lexer,h)}l=this.handleSupSubscript(s.position,t,s.text,"subscript");h=l.position;r=l.result}else if(s.text==="'"){var p=new g("textord","\\prime",t);var n=[p];h=s.position;while((s=this.lexer.lex(h,t)).text==="'"){n.push(p);h=s.position}a=new g("ordgroup",n,t)}else{break}}if(a||r){return new o(new g("supsub",{base:i&&i.result,sup:a,sub:r},t),h)}else{return i}};var k=["\\tiny","\\scriptsize","\\footnotesize","\\small","\\normalsize","\\large","\\Large","\\LARGE","\\huge","\\Huge"];var m=["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"];n.prototype.parseImplicitGroup=function(e,t){var i=this.parseSymbol(e,t);if(!i||!i.result){return this.parseFunction(e,t)}var h=i.result.result;var r;if(h==="\\left"){var l=this.parseFunction(e,t);r=this.parseExpression(l.position,t,false);this.expect(r.peek,"\\right");var p=this.parseFunction(r.position,t);return new o(new g("leftright",{body:r.result,left:l.result.value.value,right:p.result.value.value},t),p.position)}else if(h==="\\begin"){var n=this.parseFunction(e,t);var d=n.result.value.name;if(!a.hasOwnProperty(d)){throw new c("No such environment: "+d,this.lexer,n.result.value.namepos)}var w=a[d];var u=[null,t,d];var f=this.parseArguments(n.position,t,"\\begin{"+d+"}",w,u);u[0]=f;var v=w.handler.apply(this,u);var y=this.lexer.lex(v.position,t);this.expect(y,"\\end");var x=this.parseFunction(v.position,t);if(x.result.value.name!==d){throw new c("Mismatch: \\begin{"+d+"} matched "+"by \\end{"+x.result.value.name+"}",this.lexer,x.namepos)}v.position=x.position;return v}else if(s.contains(k,h)){r=this.parseExpression(i.result.position,t,false);return new o(new g("sizing",{size:"size"+(s.indexOf(k,h)+1),value:r.result},t),r.position)}else if(s.contains(m,h)){r=this.parseExpression(i.result.position,t,true);return new o(new g("styling",{style:h.slice(1,h.length-5),value:r.result},t),r.position)}else{return this.parseFunction(e,t)}};n.prototype.parseFunction=function(e,t){var i=this.parseGroup(e,t);if(i){if(i.isFunction){var a=i.result.result;var r=h.funcs[a];if(t==="text"&&!r.allowedInText){throw new c("Can't use function '"+a+"' in text mode",this.lexer,i.position)}var l=[a];var s=this.parseArguments(i.result.position,t,a,r,l);var p=h.funcs[a].handler.apply(this,l);return new o(new g(p.type,p,t),s)}else{return i.result}}else{return null}};n.prototype.parseArguments=function(e,t,i,a,r){var l=a.numArgs+a.numOptionalArgs;if(l===0){return e}var s=e;var p=a.greediness;var n=[s];for(var g=0;g<l;g++){var o=a.argTypes&&a.argTypes[g];var d;if(g<a.numOptionalArgs){if(o){d=this.parseSpecialGroup(s,o,t,true)}else{d=this.parseOptionalGroup(s,t)}if(!d){r.push(null);n.push(s);continue}}else{if(o){d=this.parseSpecialGroup(s,o,t)}else{d=this.parseGroup(s,t)}if(!d){throw new c("Expected group after '"+i+"'",this.lexer,s)}}var w;if(d.isFunction){var u=h.funcs[d.result.result].greediness;if(u>p){w=this.parseFunction(s,t)}else{throw new c("Got function '"+d.result.result+"' as "+"argument to '"+i+"'",this.lexer,d.result.position-1)}}else{w=d.result}r.push(w.result);n.push(w.position);s=w.position}r.push(n);return s};n.prototype.parseSpecialGroup=function(e,t,i,h){if(t==="original"){t=i}if(t==="color"||t==="size"){var a=this.lexer.lex(e,i);if(h&&a.text!=="["){return null}this.expect(a,h?"[":"{");var r=this.lexer.lex(a.position,t);var l;if(t==="color"){l=r.text}else{l=r.data}var s=this.lexer.lex(r.position,i);this.expect(s,h?"]":"}");return new d(new o(new g(t,l,i),s.position),false)}else if(t==="text"){var p=this.lexer.lex(e,"whitespace");e=p.position}if(h){return this.parseOptionalGroup(e,t)}else{return this.parseGroup(e,t)}};n.prototype.parseGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text==="{"){var h=this.parseExpression(i.position,t,false);var a=this.lexer.lex(h.position,t);this.expect(a,"}");return new d(new o(new g("ordgroup",h.result,t),a.position),false)}else{return this.parseSymbol(e,t)}};n.prototype.parseOptionalGroup=function(e,t){var i=this.lexer.lex(e,t);if(i.text==="["){var h=this.parseExpression(i.position,t,false,"]");var a=this.lexer.lex(h.position,t);this.expect(a,"]");return new d(new o(new g("ordgroup",h.result,t),a.position),false)}else{return null}};n.prototype.parseSymbol=function(e,t){var i=this.lexer.lex(e,t);if(h.funcs[i.text]){return new d(new o(i.text,i.position),true)}else if(l[t][i.text]){return new d(new o(new g(l[t][i.text].group,i.text,t),i.position),false)}else{return null}};n.prototype.ParseNode=g;t.exports=n},{"./Lexer":3,"./ParseError":5,"./environments":15,"./functions":17,"./parseData":19,"./symbols":21,"./utils":22}],7:[function(e,t,i){function h(e,t){return e===undefined?t:e}function a(e){e=e||{};this.displayMode=h(e.displayMode,false)}t.exports=a},{}],8:[function(e,t,i){function h(e,t,i,h){this.id=e;this.size=t;this.cramped=h;this.sizeMultiplier=i}h.prototype.sup=function(){return w[u[this.id]]};h.prototype.sub=function(){return w[k[this.id]]};h.prototype.fracNum=function(){return w[m[this.id]]};h.prototype.fracDen=function(){return w[f[this.id]]};h.prototype.cramp=function(){return w[v[this.id]]};h.prototype.cls=function(){return o[this.size]+(this.cramped?" cramped":" uncramped")};h.prototype.reset=function(){return d[this.size]};var a=0;var r=1;var l=2;var s=3;var p=4;var c=5;var n=6;var g=7;var o=["displaystyle textstyle","textstyle","scriptstyle","scriptscriptstyle"];var d=["reset-textstyle","reset-textstyle","reset-scriptstyle","reset-scriptscriptstyle"];var w=[new h(a,0,1,false),new h(r,0,1,true),new h(l,1,1,false),new h(s,1,1,true),new h(p,2,.7,false),new h(c,2,.7,true),new h(n,3,.5,false),new h(g,3,.5,true)];var u=[p,c,p,c,n,g,n,g];var k=[c,c,c,c,g,g,g,g];var m=[l,s,p,c,n,g,n,g];var f=[s,s,c,c,g,g,g,g];var v=[r,r,s,s,c,c,g,g];t.exports={DISPLAY:w[a],TEXT:w[l],SCRIPT:w[p],SCRIPTSCRIPT:w[n]}},{}],9:[function(e,t,i){var h=e("./domTree");var a=e("./fontMetrics");var r=e("./symbols");var l=e("./utils");var s=function(e,t,i,l,s){if(r[i][e]&&r[i][e].replace){e=r[i][e].replace}var p=a.getCharacterMetrics(e,t);var c;if(p){c=new h.symbolNode(e,p.height,p.depth,p.italic,p.skew,s)}else{typeof console!=="undefined"&&console.warn("No character metrics for '"+e+"' in style '"+t+"'");c=new h.symbolNode(e,0,0,0,0,s)}if(l){c.style.color=l}return c};var p=function(e,t,i,h){if(r[t][e].font==="main"){return s(e,"Main-Regular",t,i,h)}else{return s(e,"AMS-Regular",t,i,h.concat(["amsrm"]))}};var c=function(e,t,i,h,a){if(a==="mathord"){return n(e,t,i,h)}else if(a==="textord"){return s(e,"Main-Regular",t,i,h.concat(["mathrm"]))}else{throw new Error("unexpected type: "+a+" in mathDefault")}};var n=function(e,t,i,h){if(/[0-9]/.test(e.charAt(0))||l.contains(["\u0131","\u0237"],e)||l.contains(v,e)){return s(e,"Main-Italic",t,i,h.concat(["mainit"]))}else{return s(e,"Math-Italic",t,i,h.concat(["mathit"]))}};var g=function(e,t,i){var h=e.mode;var p=e.value;if(r[h][p]&&r[h][p].replace){p=r[h][p].replace}var g=["mord"];var o=t.getColor();var d=t.font;if(d){if(d==="mathit"||l.contains(["\u0131","\u0237"],p)){return n(p,h,o,g.concat(["mathit"]))}else{var w=y[d].fontName;if(a.getCharacterMetrics(p,w)){return s(p,w,h,o,g.concat([d]))}else{return c(p,h,o,g,i)}}}else{return c(p,h,o,g,i)}};var o=function(e){var t=0;var i=0;var h=0;if(e.children){for(var a=0;a<e.children.length;a++){if(e.children[a].height>t){t=e.children[a].height}if(e.children[a].depth>i){i=e.children[a].depth}if(e.children[a].maxFontSize>h){h=e.children[a].maxFontSize}}}e.height=t;e.depth=i;e.maxFontSize=h};var d=function(e,t,i){var a=new h.span(e,t);o(a);if(i){a.style.color=i}return a};var w=function(e){var t=new h.documentFragment(e);o(t);return t};var u=function(e,t){var i=d([],[new h.symbolNode("\u200b")]);i.style.fontSize=t/e.style.sizeMultiplier+"em";var a=d(["fontsize-ensurer","reset-"+e.size,"size5"],[i]);return a};var k=function(e,t,i,a){var r;var l;var s;if(t==="individualShift"){var p=e;e=[p[0]];r=-p[0].shift-p[0].elem.depth;l=r;for(s=1;s<p.length;s++){var c=-p[s].shift-l-p[s].elem.depth;var n=c-(p[s-1].elem.height+p[s-1].elem.depth);l=l+c;e.push({type:"kern",size:n});e.push(p[s])}}else if(t==="top"){var g=i;for(s=0;s<e.length;s++){if(e[s].type==="kern"){g-=e[s].size}else{g-=e[s].elem.height+e[s].elem.depth}}r=g}else if(t==="bottom"){r=-i}else if(t==="shift"){r=-e[0].elem.depth-i}else if(t==="firstBaseline"){r=-e[0].elem.depth}else{r=0}var o=0;for(s=0;s<e.length;s++){if(e[s].type==="elem"){o=Math.max(o,e[s].elem.maxFontSize)}}var w=u(a,o);var k=[];l=r;for(s=0;s<e.length;s++){if(e[s].type==="kern"){l+=e[s].size}else{var m=e[s].elem;var f=-m.depth-l;l+=m.height+m.depth;var v=d([],[w,m]);v.height-=f;v.depth+=f;v.style.top=f+"em";k.push(v)}}var y=d(["baseline-fix"],[w,new h.symbolNode("\u200b")]);k.push(y);var x=d(["vlist"],k);x.height=Math.max(l,x.height);x.depth=Math.max(-r,x.depth);return x};var m={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var f={"\\qquad":{size:"2em",className:"qquad"},"\\quad":{size:"1em",className:"quad"},"\\enspace":{size:"0.5em",className:"enspace"},"\\;":{size:"0.277778em",className:"thickspace"},"\\:":{size:"0.22222em",className:"mediumspace"},"\\,":{size:"0.16667em",className:"thinspace"},"\\!":{size:"-0.16667em",className:"negativethinspace"}};var v=["\\Gamma","\\Delta","\\Theta","\\Lambda","\\Xi","\\Pi","\\Sigma","\\Upsilon","\\Phi","\\Psi","\\Omega"];var y={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}};t.exports={makeSymbol:s,fontMap:y,mathsym:p,makeSpan:d,makeFragment:w,makeVList:k,makeOrd:g,sizingMultiplier:m,spacingFunctions:f}},{"./domTree":14,"./fontMetrics":16,"./symbols":21,"./utils":22}],10:[function(e,t,i){var h=e("./Options");var a=e("./ParseError");var r=e("./Style");var l=e("./buildCommon");var s=e("./delimiter");var p=e("./domTree");var c=e("./fontMetrics");var n=e("./utils");var g=l.makeSpan;var o=function(e,t,i){var h=[];for(var a=0;a<e.length;a++){var r=e[a];h.push(y(r,t,i));i=r}return h};var d={mathord:"mord",textord:"mord",bin:"mbin",rel:"mrel",text:"mord",open:"mopen",close:"mclose",inner:"minner",genfrac:"mord",array:"minner",spacing:"mord",punct:"mpunct",ordgroup:"mord",op:"mop",katex:"mord",overline:"mord",rule:"mord",leftright:"minner",sqrt:"mord",accent:"mord"};var w=function(e){if(e==null){return d.mathord}else if(e.type==="supsub"){return w(e.value.base)}else if(e.type==="llap"||e.type==="rlap"){return w(e.value)}else if(e.type==="color"){return w(e.value.value)}else if(e.type==="sizing"){return w(e.value.value)}else if(e.type==="styling"){return w(e.value.value)}else if(e.type==="delimsizing"){return d[e.value.delimType]}else{return d[e.type]}};var u=function(e,t){if(!e){return false}else if(e.type==="op"){return e.value.limits&&t.style.size===r.DISPLAY.size}else if(e.type==="accent"){return m(e.value.base)}else{return null}};var k=function(e){if(!e){return false}else if(e.type==="ordgroup"){if(e.value.length===1){return k(e.value[0])}else{return e}}else if(e.type==="color"){if(e.value.value.length===1){return k(e.value.value[0])}else{return e}}else{return e}};var m=function(e){var t=k(e);return t.type==="mathord"||t.type==="textord"||t.type==="bin"||t.type==="rel"||t.type==="inner"||t.type==="open"||t.type==="close"||t.type==="punct"};var f=function(e){return g(["sizing","reset-"+e.size,"size5",e.style.reset(),r.TEXT.cls(),"nulldelimiter"])};var v={mathord:function(e,t,i){return l.makeOrd(e,t,"mathord")},textord:function(e,t,i){return l.makeOrd(e,t,"textord")},bin:function(e,t,i){var h="mbin";var a=i;while(a&&a.type==="color"){var r=a.value.value;a=r[r.length-1]}if(!i||n.contains(["mbin","mopen","mrel","mop","mpunct"],w(a))){e.type="textord";h="mord"}return l.mathsym(e.value,e.mode,t.getColor(),[h])},rel:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mrel"])},open:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mopen"])},close:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mclose"])},inner:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["minner"])},punct:function(e,t,i){return l.mathsym(e.value,e.mode,t.getColor(),["mpunct"])},ordgroup:function(e,t,i){return g(["mord",t.style.cls()],o(e.value,t.reset()))},text:function(e,t,i){return g(["text","mord",t.style.cls()],o(e.value.body,t.reset()))},color:function(e,t,i){var h=o(e.value.value,t.withColor(e.value.color),i);return new l.makeFragment(h)},supsub:function(e,t,i){if(u(e.value.base,t)){return v[e.value.base.type](e,t,i)}var h=y(e.value.base,t.reset());var a,s,n,o;if(e.value.sup){n=y(e.value.sup,t.withStyle(t.style.sup()));a=g([t.style.reset(),t.style.sup().cls()],[n])}if(e.value.sub){o=y(e.value.sub,t.withStyle(t.style.sub()));s=g([t.style.reset(),t.style.sub().cls()],[o])}var d,k;if(m(e.value.base)){d=0;k=0}else{d=h.height-c.metrics.supDrop;k=h.depth+c.metrics.subDrop}var f;if(t.style===r.DISPLAY){f=c.metrics.sup1}else if(t.style.cramped){f=c.metrics.sup3}else{f=c.metrics.sup2}var x=r.TEXT.sizeMultiplier*t.style.sizeMultiplier;var b=.5/c.metrics.ptPerEm/x+"em";var z;if(!e.value.sup){k=Math.max(k,c.metrics.sub1,o.height-.8*c.metrics.xHeight);z=l.makeVList([{type:"elem",elem:s}],"shift",k,t);z.children[0].style.marginRight=b;if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}}else if(!e.value.sub){d=Math.max(d,f,n.depth+.25*c.metrics.xHeight);z=l.makeVList([{type:"elem",elem:a}],"shift",-d,t);z.children[0].style.marginRight=b}else{d=Math.max(d,f,n.depth+.25*c.metrics.xHeight);k=Math.max(k,c.metrics.sub2);var S=c.metrics.defaultRuleThickness;if(d-n.depth-(o.height-k)<4*S){k=4*S-(d-n.depth)+o.height;var M=.8*c.metrics.xHeight-(d-n.depth);if(M>0){d+=M;k-=M}}z=l.makeVList([{type:"elem",elem:s,shift:k},{type:"elem",elem:a,shift:-d}],"individualShift",null,t);if(h instanceof p.symbolNode){z.children[0].style.marginLeft=-h.italic+"em"}z.children[0].style.marginRight=b;z.children[1].style.marginRight=b}return g([w(e.value.base)],[h,z])},genfrac:function(e,t,i){var h=t.style;if(e.value.size==="display"){h=r.DISPLAY}else if(e.value.size==="text"){h=r.TEXT}var a=h.fracNum();var p=h.fracDen();var n=y(e.value.numer,t.withStyle(a));var o=g([h.reset(),a.cls()],[n]);var d=y(e.value.denom,t.withStyle(p));var w=g([h.reset(),p.cls()],[d]);var u;if(e.value.hasBarLine){u=c.metrics.defaultRuleThickness/t.style.sizeMultiplier}else{u=0}var k;var m;var v;if(h.size===r.DISPLAY.size){k=c.metrics.num1;if(u>0){m=3*u}else{m=7*c.metrics.defaultRuleThickness}v=c.metrics.denom1}else{if(u>0){k=c.metrics.num2;m=u}else{k=c.metrics.num3;m=3*c.metrics.defaultRuleThickness}v=c.metrics.denom2}var x;if(u===0){var b=k-n.depth-(d.height-v);if(b<m){k+=.5*(m-b);v+=.5*(m-b)}x=l.makeVList([{type:"elem",elem:w,shift:v},{type:"elem",elem:o,shift:-k}],"individualShift",null,t)}else{var 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if(e.size===h.SCRIPT.size){return M}else if(e.size===h.SCRIPTSCRIPT.size){return q}throw new Error("Unexpected style size: "+e.size)}};var 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