diff options
| author | Munken <mm.munk@gmail.com> | 2016-12-08 22:39:37 +0000 |
|---|---|---|
| committer | Munken <mm.munk@gmail.com> | 2016-12-08 22:41:29 +0000 |
| commit | 525c2a782e03afafdf9cf1948ab75e73092704fa (patch) | |
| tree | 4bac75cd875e2fa8806190d0fdb1a810940e7b68 /vendor | |
| parent | 9ab1fe5e6536e311142d1daddd0d7c8e29eec20a (diff) | |
| download | gitlab-ce-525c2a782e03afafdf9cf1948ab75e73092704fa.tar.gz | |
Math works for inline syntax
Diffstat (limited to 'vendor')
82 files changed, 9576 insertions, 0 deletions
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exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.katex = f()}})(function(){var define,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);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.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){ +/* eslint no-console:0 */ +/** + * This is the main entry point for KaTeX. Here, we expose functions for + * rendering expressions either to DOM nodes or to markup strings. + * + * We also expose the ParseError class to check if errors thrown from KaTeX are + * errors in the expression, or errors in javascript handling. + */ + +var ParseError = require("./src/ParseError"); +var Settings = require("./src/Settings"); + +var buildTree = require("./src/buildTree"); +var parseTree = require("./src/parseTree"); +var utils = require("./src/utils"); + +/** + * Parse and build an expression, and place that expression in the DOM node + * given. + */ +var render = function(expression, baseNode, options) { + utils.clearNode(baseNode); + + var settings = new Settings(options); + + var tree = parseTree(expression, settings); + var node = buildTree(tree, expression, settings).toNode(); + + baseNode.appendChild(node); +}; + +// KaTeX's styles don't work properly in quirks mode. Print out an error, and +// disable rendering. +if (typeof document !== "undefined") { + if (document.compatMode !== "CSS1Compat") { + typeof console !== "undefined" && console.warn( + "Warning: KaTeX doesn't work in quirks mode. Make sure your " + + "website has a suitable doctype."); + + render = function() { + throw new ParseError("KaTeX doesn't work in quirks mode."); + }; + } +} + +/** + * Parse and build an expression, and return the markup for that. + */ +var renderToString = function(expression, options) { + var settings = new Settings(options); + + var tree = parseTree(expression, settings); + return buildTree(tree, expression, settings).toMarkup(); +}; + +/** + * Parse an expression and return the parse tree. + */ +var generateParseTree = function(expression, options) { + var settings = new Settings(options); + return parseTree(expression, settings); +}; + +module.exports = { + render: render, + renderToString: renderToString, + /** + * NOTE: This method is not currently recommended for public use. + * The internal tree representation is unstable and is very likely + * to change. Use at your own risk. + */ + __parse: generateParseTree, + ParseError: ParseError, +}; + +},{"./src/ParseError":6,"./src/Settings":8,"./src/buildTree":13,"./src/parseTree":22,"./src/utils":25}],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; + this.pos = 0; +} + +/** + * The resulting token returned from `lex`. + * + * It consists of the token text plus some position information. + * The position information is essentially a range in an input string, + * but instead of referencing the bare input string, we refer to the lexer. + * That way it is possible to attach extra metadata to the input string, + * like for example a file name or similar. + * + * The position information (all three parameters) is optional, + * so it is OK to construct synthetic tokens if appropriate. + * Not providing available position information may lead to + * degraded error reporting, though. + * + * @param {string} text the text of this token + * @param {number=} start the start offset, zero-based inclusive + * @param {number=} end the end offset, zero-based exclusive + * @param {Lexer=} lexer the lexer which in turn holds the input string + */ +function Token(text, start, end, lexer) { + this.text = text; + this.start = start; + this.end = end; + this.lexer = lexer; +} + +/** + * Given a pair of tokens (this and endToken), compute a “Token” encompassing + * the whole input range enclosed by these two. + * + * @param {Token} endToken last token of the range, inclusive + * @param {string} text the text of the newly constructed token + */ +Token.prototype.range = function(endToken, text) { + if (endToken.lexer !== this.lexer) { + return new Token(text); // sorry, no position information available + } + return new Token(text, this.start, endToken.end, this.lexer); +}; + +/* The following tokenRegex + * - matches typical whitespace (but not NBSP etc.) using its first group + * - does not match any control character \x00-\x1f except whitespace + * - does not match a bare backslash + * - matches any ASCII character except those just mentioned + * - does not match the BMP private use area \uE000-\uF8FF + * - does not match bare surrogate code units + * - matches any BMP character except for those just described + * - matches any valid Unicode surrogate pair + * - matches a backslash followed by one or more letters + * - matches a backslash followed by any BMP character, including newline + * Just because the Lexer matches something doesn't mean it's valid input: + * If there is no matching function or symbol definition, the Parser will + * still reject the input. + */ +var tokenRegex = new RegExp( + "([ \r\n\t]+)|" + // whitespace + "([!-\\[\\]-\u2027\u202A-\uD7FF\uF900-\uFFFF]" + // single codepoint + "|[\uD800-\uDBFF][\uDC00-\uDFFF]" + // surrogate pair + "|\\\\(?:[a-zA-Z]+|[^\uD800-\uDFFF])" + // function name + ")" +); + +/** + * This function lexes a single token. + */ +Lexer.prototype.lex = function() { + var input = this.input; + var pos = this.pos; + if (pos === input.length) { + return new Token("EOF", pos, pos, this); + } + var match = matchAt(tokenRegex, input, pos); + if (match === null) { + throw new ParseError( + "Unexpected character: '" + input[pos] + "'", + new Token(input[pos], pos, pos + 1, this)); + } + var text = match[2] || " "; + var start = this.pos; + this.pos += match[0].length; + var end = this.pos; + return new Token(text, start, end, this); +}; + +module.exports = Lexer; + +},{"./ParseError":6,"match-at":2}],4:[function(require,module,exports){ +/** + * This file contains the “gullet” where macros are expanded + * until only non-macro tokens remain. + */ + +var Lexer = require("./Lexer"); + +function MacroExpander(input, macros) { + this.lexer = new Lexer(input); + this.macros = macros; + this.stack = []; // contains tokens in REVERSE order + this.discardedWhiteSpace = []; +} + +/** + * Recursively expand first token, then return first non-expandable token. + */ +MacroExpander.prototype.nextToken = function() { + for (;;) { + if (this.stack.length === 0) { + this.stack.push(this.lexer.lex()); + } + var topToken = this.stack.pop(); + var name = topToken.text; + if (!(name.charAt(0) === "\\" && this.macros.hasOwnProperty(name))) { + return topToken; + } + var expansion = this.macros[name]; + if (typeof expansion === "string") { + var bodyLexer = new Lexer(expansion); + expansion = []; + var tok = bodyLexer.lex(); + while (tok.text !== "EOF") { + expansion.push(tok); + tok = bodyLexer.lex(); + } + expansion.reverse(); // to fit in with stack using push and pop + this.macros[name] = expansion; + } + this.stack = this.stack.concat(expansion); + } +}; + +MacroExpander.prototype.get = function(ignoreSpace) { + this.discardedWhiteSpace = []; + var token = this.nextToken(); + if (ignoreSpace) { + while (token.text === " ") { + this.discardedWhiteSpace.push(token); + token = this.nextToken(); + } + } + return token; +}; + +/** + * Undo the effect of the preceding call to the get method. + * A call to this method MUST be immediately preceded and immediately followed + * by a call to get. Only used during mode switching, i.e. after one token + * was got in the old mode but should get got again in a new mode + * with possibly different whitespace handling. + */ +MacroExpander.prototype.unget = function(token) { + this.stack.push(token); + while (this.discardedWhiteSpace.length !== 0) { + this.stack.push(this.discardedWhiteSpace.pop()); + } +}; + +module.exports = MacroExpander; + +},{"./Lexer":3}],5:[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": "#ccfaff", + "katex-blueB": "#80f6ff", + "katex-blueC": "#63d9ea", + "katex-blueD": "#11accd", + "katex-blueE": "#0c7f99", + "katex-tealA": "#94fff5", + "katex-tealB": "#26edd5", + "katex-tealC": "#01d1c1", + "katex-tealD": "#01a995", + "katex-tealE": "#208170", + "katex-greenA": "#b6ffb0", + "katex-greenB": "#8af281", + "katex-greenC": "#74cf70", + "katex-greenD": "#1fab54", + "katex-greenE": "#0d923f", + "katex-goldA": "#ffd0a9", + "katex-goldB": "#ffbb71", + "katex-goldC": "#ff9c39", + "katex-goldD": "#e07d10", + "katex-goldE": "#a75a05", + "katex-redA": "#fca9a9", + "katex-redB": "#ff8482", + "katex-redC": "#f9685d", + "katex-redD": "#e84d39", + "katex-redE": "#bc2612", + "katex-maroonA": "#ffbde0", + "katex-maroonB": "#ff92c6", + "katex-maroonC": "#ed5fa6", + "katex-maroonD": "#ca337c", + "katex-maroonE": "#9e034e", + "katex-purpleA": "#ddd7ff", + "katex-purpleB": "#c6b9fc", + "katex-purpleC": "#aa87ff", + "katex-purpleD": "#7854ab", + "katex-purpleE": "#543b78", + "katex-mintA": "#f5f9e8", + "katex-mintB": "#edf2df", + "katex-mintC": "#e0e5cc", + "katex-grayA": "#f6f7f7", + "katex-grayB": "#f0f1f2", + "katex-grayC": "#e3e5e6", + "katex-grayD": "#d6d8da", + "katex-grayE": "#babec2", + "katex-grayF": "#888d93", + "katex-grayG": "#626569", + "katex-grayH": "#3b3e40", + "katex-grayI": "#21242c", + "katex-kaBlue": "#314453", + "katex-kaGreen": "#71B307", +}; + +/** + * 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; + +},{}],6:[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. + * + * If possible, a caller should provide a Token or ParseNode with information + * about where in the source string the problem occurred. + * + * @param {string} message The error message + * @param {(Token|ParseNode)=} token An object providing position information + */ +function ParseError(message, token) { + var error = "KaTeX parse error: " + message; + var start; + var end; + + if (token && token.lexer && token.start <= token.end) { + // If we have the input and a position, make the error a bit fancier + + // Get the input + var input = token.lexer.input; + + // Prepend some information + start = token.start; + end = token.end; + if (start === input.length) { + error += " at end of input: "; + } else { + error += " at position " + (start + 1) + ": "; + } + + // Underline token in question using combining underscores + var underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); + + // Extract some context from the input and add it to the error + var left; + if (start > 15) { + left = "…" + input.slice(start - 15, start); + } else { + left = input.slice(0, start); + } + var right; + if (end + 15 < input.length) { + right = input.slice(end, end + 15) + "…"; + } else { + right = input.slice(end); + } + error += left + underlined + right; + } + + // Some hackery to make ParseError a prototype of Error + // See http://stackoverflow.com/a/8460753 + var self = new Error(error); + self.name = "ParseError"; + self.__proto__ = ParseError.prototype; + + self.position = start; + return self; +} + +// More hackery +ParseError.prototype.__proto__ = Error.prototype; + +module.exports = ParseError; + +},{}],7:[function(require,module,exports){ +/* eslint no-constant-condition:0 */ +var functions = require("./functions"); +var environments = require("./environments"); +var MacroExpander = require("./MacroExpander"); +var symbols = require("./symbols"); +var utils = require("./utils"); +var cjkRegex = require("./unicodeRegexes").cjkRegex; + +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 parser has a property called "mode" indicating the mode that + * the parser is currently in. Currently it has to be one of "math" or + * "text", which denotes whether the current environment is a math-y + * one or a text-y one (e.g. inside \text). Currently, this serves to + * limit the functions which can be used in text mode. + * + * The main functions then return an object which contains the useful data that + * was parsed at its given point, and a new position at the end of the parsed + * data. The main functions can call each other and continue the parsing by + * using the returned position as a new starting point. + * + * There are also extra `.handle...` functions, which pull out some reused + * functionality into self-contained functions. + * + * The earlier functions return ParseNodes. + * The later functions (which are called deeper in the parse) sometimes return + * ParseFuncOrArgument, which contain a ParseNode as well as some data about + * whether the parsed object is a function which is missing some arguments, or a + * standalone object which can be used as an argument to another function. + */ + +/** + * Main Parser class + */ +function Parser(input, settings) { + // Create a new macro expander (gullet) and (indirectly via that) also a + // new lexer (mouth) for this parser (stomach, in the language of TeX) + this.gullet = new MacroExpander(input, settings.macros); + // Store the settings for use in parsing + this.settings = settings; +} + +var ParseNode = parseData.ParseNode; + +/** + * An initial function (without its arguments), or an argument to a function. + * The `result` argument should be a ParseNode. + */ +function ParseFuncOrArgument(result, isFunction, token) { + this.result = result; + // Is this a function (i.e. is it something defined in functions.js)? + this.isFunction = isFunction; + this.token = token; +} + +/** + * Checks a result to make sure it has the right type, and throws an + * appropriate error otherwise. + * + * @param {boolean=} consume whether to consume the expected token, + * defaults to true + */ +Parser.prototype.expect = function(text, consume) { + if (this.nextToken.text !== text) { + throw new ParseError( + "Expected '" + text + "', got '" + this.nextToken.text + "'", + this.nextToken + ); + } + if (consume !== false) { + this.consume(); + } +}; + +/** + * Considers the current look ahead token as consumed, + * and fetches the one after that as the new look ahead. + */ +Parser.prototype.consume = function() { + this.nextToken = this.gullet.get(this.mode === "math"); +}; + +Parser.prototype.switchMode = function(newMode) { + this.gullet.unget(this.nextToken); + this.mode = newMode; + this.consume(); +}; + +/** + * Main parsing function, which parses an entire input. + * + * @return {?Array.<ParseNode>} + */ +Parser.prototype.parse = function() { + // Try to parse the input + this.mode = "math"; + this.consume(); + var parse = this.parseInput(); + return parse; +}; + +/** + * Parses an entire input tree. + */ +Parser.prototype.parseInput = function() { + // Parse an expression + var expression = this.parseExpression(false); + // If we succeeded, make sure there's an EOF at the end + this.expect("EOF", false); + return expression; +}; + +var endOfExpression = ["}", "\\end", "\\right", "&", "\\\\", "\\cr"]; + +/** + * Parses an "expression", which is a list of atoms. + * + * @param {boolean} breakOnInfix Should the parsing stop when we hit infix + * nodes? This happens when functions have higher precendence + * than infix nodes in implicit parses. + * + * @param {?string} breakOnTokenText The text of the token that the expression + * should end with, or `null` if something else should end the + * expression. + * + * @return {ParseNode} + */ +Parser.prototype.parseExpression = function(breakOnInfix, breakOnTokenText) { + var body = []; + // Keep adding atoms to the body until we can't parse any more atoms (either + // we reached the end, a }, or a \right) + while (true) { + var lex = this.nextToken; + if (endOfExpression.indexOf(lex.text) !== -1) { + break; + } + if (breakOnTokenText && lex.text === breakOnTokenText) { + break; + } + if (breakOnInfix && functions[lex.text] && functions[lex.text].infix) { + break; + } + var atom = this.parseAtom(); + if (!atom) { + if (!this.settings.throwOnError && lex.text[0] === "\\") { + var errorNode = this.handleUnsupportedCmd(); + body.push(errorNode); + continue; + } + + break; + } + body.push(atom); + } + return this.handleInfixNodes(body); +}; + +/** + * Rewrites infix operators such as \over with corresponding commands such + * as \frac. + * + * There can only be one infix operator per group. If there's more than one + * then the expression is ambiguous. This can be resolved by adding {}. + * + * @returns {Array} + */ +Parser.prototype.handleInfixNodes = function(body) { + var overIndex = -1; + var funcName; + + for (var i = 0; i < body.length; i++) { + var node = body[i]; + if (node.type === "infix") { + if (overIndex !== -1) { + throw new ParseError( + "only one infix operator per group", + node.value.token); + } + overIndex = i; + funcName = node.value.replaceWith; + } + } + + if (overIndex !== -1) { + var numerNode; + var denomNode; + + var numerBody = body.slice(0, overIndex); + var denomBody = body.slice(overIndex + 1); + + if (numerBody.length === 1 && numerBody[0].type === "ordgroup") { + numerNode = numerBody[0]; + } else { + numerNode = new ParseNode("ordgroup", numerBody, this.mode); + } + + if (denomBody.length === 1 && denomBody[0].type === "ordgroup") { + denomNode = denomBody[0]; + } else { + denomNode = new ParseNode("ordgroup", denomBody, this.mode); + } + + var value = this.callFunction( + funcName, [numerNode, denomNode], null); + return [new ParseNode(value.type, value, this.mode)]; + } else { + return body; + } +}; + +// The greediness of a superscript or subscript +var SUPSUB_GREEDINESS = 1; + +/** + * Handle a subscript or superscript with nice errors. + */ +Parser.prototype.handleSupSubscript = function(name) { + var symbolToken = this.nextToken; + var symbol = symbolToken.text; + this.consume(); + var group = this.parseGroup(); + + if (!group) { + if (!this.settings.throwOnError && this.nextToken.text[0] === "\\") { + return this.handleUnsupportedCmd(); + } else { + throw new ParseError( + "Expected group after '" + symbol + "'", + symbolToken + ); + } + } else if (group.isFunction) { + // ^ and _ have a greediness, so handle interactions with functions' + // greediness + var funcGreediness = functions[group.result].greediness; + if (funcGreediness > SUPSUB_GREEDINESS) { + return this.parseFunction(group); + } else { + throw new ParseError( + "Got function '" + group.result + "' with no arguments " + + "as " + name, symbolToken); + } + } else { + return group.result; + } +}; + +/** + * Converts the textual input of an unsupported command into a text node + * contained within a color node whose color is determined by errorColor + */ +Parser.prototype.handleUnsupportedCmd = function() { + var text = this.nextToken.text; + var textordArray = []; + + for (var i = 0; i < text.length; i++) { + textordArray.push(new ParseNode("textord", text[i], "text")); + } + + var textNode = new ParseNode( + "text", + { + body: textordArray, + type: "text", + }, + this.mode); + + var colorNode = new ParseNode( + "color", + { + color: this.settings.errorColor, + value: [textNode], + type: "color", + }, + this.mode); + + this.consume(); + return colorNode; +}; + +/** + * Parses a group with optional super/subscripts. + * + * @return {?ParseNode} + */ +Parser.prototype.parseAtom = function() { + // The body of an atom is an implicit group, so that things like + // \left(x\right)^2 work correctly. + var base = this.parseImplicitGroup(); + + // In text mode, we don't have superscripts or subscripts + if (this.mode === "text") { + return base; + } + + // Note that base may be empty (i.e. null) at this point. + + var superscript; + var subscript; + while (true) { + // Lex the first token + var lex = this.nextToken; + + if (lex.text === "\\limits" || lex.text === "\\nolimits") { + // We got a limit control + if (!base || base.type !== "op") { + throw new ParseError( + "Limit controls must follow a math operator", + lex); + } else { + var limits = lex.text === "\\limits"; + base.value.limits = limits; + base.value.alwaysHandleSupSub = true; + } + this.consume(); + } else if (lex.text === "^") { + // We got a superscript start + if (superscript) { + throw new ParseError("Double superscript", lex); + } + superscript = this.handleSupSubscript("superscript"); + } else if (lex.text === "_") { + // We got a subscript start + if (subscript) { + throw new ParseError("Double subscript", lex); + } + subscript = this.handleSupSubscript("subscript"); + } else if (lex.text === "'") { + // We got a prime + var prime = new ParseNode("textord", "\\prime", this.mode); + + // Many primes can be grouped together, so we handle this here + var primes = [prime]; + this.consume(); + // Keep lexing tokens until we get something that's not a prime + while (this.nextToken.text === "'") { + // For each one, add another prime to the list + primes.push(prime); + this.consume(); + } + // Put them into an ordgroup as the superscript + superscript = new ParseNode("ordgroup", primes, this.mode); + } else { + // If it wasn't ^, _, or ', stop parsing super/subscripts + break; + } + } + + if (superscript || subscript) { + // If we got either a superscript or subscript, create a supsub + return new ParseNode("supsub", { + base: base, + sup: superscript, + sub: subscript, + }, this.mode); + } else { + // Otherwise return the original body + return base; + } +}; + +// A list of the size-changing functions, for use in parseImplicitGroup +var sizeFuncs = [ + "\\tiny", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", + "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge", +]; + +// A list of the style-changing functions, for use in parseImplicitGroup +var styleFuncs = [ + "\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle", +]; + +/** + * Parses an implicit group, which is a group that starts at the end of a + * specified, and ends right before a higher explicit group ends, or at EOL. It + * is used for functions that appear to affect the current style, like \Large or + * \textrm, where instead of keeping a style we just pretend that there is an + * implicit grouping after it until the end of the group. E.g. + * small text {\Large large text} small text again + * It is also used for \left and \right to get the correct grouping. + * + * @return {?ParseNode} + */ +Parser.prototype.parseImplicitGroup = function() { + var start = this.parseSymbol(); + + if (start == null) { + // If we didn't get anything we handle, fall back to parseFunction + return this.parseFunction(); + } + + var func = start.result; + var body; + + if (func === "\\left") { + // If we see a left: + // Parse the entire left function (including the delimiter) + var left = this.parseFunction(start); + // Parse out the implicit body + body = this.parseExpression(false); + // Check the next token + this.expect("\\right", false); + var right = this.parseFunction(); + return new ParseNode("leftright", { + body: body, + left: left.value.value, + right: right.value.value, + }, this.mode); + } else if (func === "\\begin") { + // begin...end is similar to left...right + var begin = this.parseFunction(start); + var envName = begin.value.name; + if (!environments.hasOwnProperty(envName)) { + throw new ParseError( + "No such environment: " + envName, begin.value.nameGroup); + } + // Build the environment object. Arguments and other information will + // be made available to the begin and end methods using properties. + var env = environments[envName]; + var args = this.parseArguments("\\begin{" + envName + "}", env); + var context = { + mode: this.mode, + envName: envName, + parser: this, + positions: args.pop(), + }; + var result = env.handler(context, args); + this.expect("\\end", false); + var endNameToken = this.nextToken; + var end = this.parseFunction(); + if (end.value.name !== envName) { + throw new ParseError( + "Mismatch: \\begin{" + envName + "} matched " + + "by \\end{" + end.value.name + "}", + endNameToken); + } + result.position = end.position; + return result; + } else if (utils.contains(sizeFuncs, func)) { + // If we see a sizing function, parse out the implict body + body = this.parseExpression(false); + return new ParseNode("sizing", { + // Figure out what size to use based on the list of functions above + size: "size" + (utils.indexOf(sizeFuncs, func) + 1), + value: body, + }, this.mode); + } else if (utils.contains(styleFuncs, func)) { + // If we see a styling function, parse out the implict body + body = this.parseExpression(true); + return new ParseNode("styling", { + // Figure out what style to use by pulling out the style from + // the function name + style: func.slice(1, func.length - 5), + value: body, + }, this.mode); + } else { + // Defer to parseFunction if it's not a function we handle + return this.parseFunction(start); + } +}; + +/** + * Parses an entire function, including its base and all of its arguments. + * The base might either have been parsed already, in which case + * it is provided as an argument, or it's the next group in the input. + * + * @param {ParseFuncOrArgument=} baseGroup optional as described above + * @return {?ParseNode} + */ +Parser.prototype.parseFunction = function(baseGroup) { + if (!baseGroup) { + baseGroup = this.parseGroup(); + } + + if (baseGroup) { + if (baseGroup.isFunction) { + var func = baseGroup.result; + var funcData = functions[func]; + if (this.mode === "text" && !funcData.allowedInText) { + throw new ParseError( + "Can't use function '" + func + "' in text mode", + baseGroup.token); + } + + var args = this.parseArguments(func, funcData); + var token = baseGroup.token; + var result = this.callFunction(func, args, args.pop(), token); + return new ParseNode(result.type, result, this.mode); + } else { + return baseGroup.result; + } + } else { + return null; + } +}; + +/** + * Call a function handler with a suitable context and arguments. + */ +Parser.prototype.callFunction = function(name, args, positions, token) { + var context = { + funcName: name, + parser: this, + positions: positions, + token: token, + }; + return functions[name].handler(context, args); +}; + +/** + * Parses the arguments of a function or environment + * + * @param {string} func "\name" or "\begin{name}" + * @param {{numArgs:number,numOptionalArgs:number|undefined}} funcData + * @return the array of arguments, with the list of positions as last element + */ +Parser.prototype.parseArguments = function(func, funcData) { + var totalArgs = funcData.numArgs + funcData.numOptionalArgs; + if (totalArgs === 0) { + return [[this.pos]]; + } + + var baseGreediness = funcData.greediness; + var positions = [this.pos]; + var args = []; + + for (var i = 0; i < totalArgs; i++) { + var nextToken = this.nextToken; + var argType = funcData.argTypes && funcData.argTypes[i]; + var arg; + if (i < funcData.numOptionalArgs) { + if (argType) { + arg = this.parseGroupOfType(argType, true); + } else { + arg = this.parseGroup(true); + } + if (!arg) { + args.push(null); + positions.push(this.pos); + continue; + } + } else { + if (argType) { + arg = this.parseGroupOfType(argType); + } else { + arg = this.parseGroup(); + } + if (!arg) { + if (!this.settings.throwOnError && + this.nextToken.text[0] === "\\") { + arg = new ParseFuncOrArgument( + this.handleUnsupportedCmd(this.nextToken.text), + false); + } else { + throw new ParseError( + "Expected group after '" + func + "'", nextToken); + } + } + } + var argNode; + if (arg.isFunction) { + var argGreediness = + functions[arg.result].greediness; + if (argGreediness > baseGreediness) { + argNode = this.parseFunction(arg); + } else { + throw new ParseError( + "Got function '" + arg.result + "' as " + + "argument to '" + func + "'", nextToken); + } + } else { + argNode = arg.result; + } + args.push(argNode); + positions.push(this.pos); + } + + args.push(positions); + + return args; +}; + + +/** + * Parses a group when the mode is changing. + * + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseGroupOfType = function(innerMode, optional) { + var outerMode = this.mode; + // Handle `original` argTypes + if (innerMode === "original") { + innerMode = outerMode; + } + + if (innerMode === "color") { + return this.parseColorGroup(optional); + } + if (innerMode === "size") { + return this.parseSizeGroup(optional); + } + + this.switchMode(innerMode); + if (innerMode === "text") { + // text mode is special because it should ignore the whitespace before + // it + while (this.nextToken.text === " ") { + this.consume(); + } + } + // By the time we get here, innerMode is one of "text" or "math". + // We switch the mode of the parser, recurse, then restore the old mode. + var res = this.parseGroup(optional); + this.switchMode(outerMode); + return res; +}; + +/** + * Parses a group, essentially returning the string formed by the + * brace-enclosed tokens plus some position information. + * + * @param {string} modeName Used to describe the mode in error messages + * @param {boolean=} optional Whether the group is optional or required + */ +Parser.prototype.parseStringGroup = function(modeName, optional) { + if (optional && this.nextToken.text !== "[") { + return null; + } + var outerMode = this.mode; + this.mode = "text"; + this.expect(optional ? "[" : "{"); + var str = ""; + var firstToken = this.nextToken; + var lastToken = firstToken; + while (this.nextToken.text !== (optional ? "]" : "}")) { + if (this.nextToken.text === "EOF") { + throw new ParseError( + "Unexpected end of input in " + modeName, + firstToken.range(this.nextToken, str)); + } + lastToken = this.nextToken; + str += lastToken.text; + this.consume(); + } + this.mode = outerMode; + this.expect(optional ? "]" : "}"); + return firstToken.range(lastToken, str); +}; + +/** + * Parses a color description. + */ +Parser.prototype.parseColorGroup = function(optional) { + var res = this.parseStringGroup("color", optional); + if (!res) { + return null; + } + var match = (/^(#[a-z0-9]+|[a-z]+)$/i).exec(res.text); + if (!match) { + throw new ParseError("Invalid color: '" + res.text + "'", res); + } + return new ParseFuncOrArgument( + new ParseNode("color", match[0], this.mode), + false); +}; + +/** + * Parses a size specification, consisting of magnitude and unit. + */ +Parser.prototype.parseSizeGroup = function(optional) { + var res = this.parseStringGroup("size", optional); + if (!res) { + return null; + } + var match = (/(-?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/).exec(res.text); + if (!match) { + throw new ParseError("Invalid size: '" + res.text + "'", res); + } + var data = { + number: +(match[1] + match[2]), // sign + magnitude, cast to number + unit: match[3], + }; + if (data.unit !== "em" && data.unit !== "ex") { + throw new ParseError("Invalid unit: '" + data.unit + "'", res); + } + return new ParseFuncOrArgument( + new ParseNode("color", data, this.mode), + false); +}; + +/** + * If the argument is false or absent, this parses an ordinary group, + * which is either a single nucleus (like "x") or an expression + * in braces (like "{x+y}"). + * If the argument is true, it parses either a bracket-delimited expression + * (like "[x+y]") or returns null to indicate the absence of a + * bracket-enclosed group. + * + * @param {boolean=} optional Whether the group is optional or required + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseGroup = function(optional) { + var firstToken = this.nextToken; + // Try to parse an open brace + if (this.nextToken.text === (optional ? "[" : "{")) { + // If we get a brace, parse an expression + this.consume(); + var expression = this.parseExpression(false, optional ? "]" : null); + var lastToken = this.nextToken; + // Make sure we get a close brace + this.expect(optional ? "]" : "}"); + if (this.mode === "text") { + this.formLigatures(expression); + } + return new ParseFuncOrArgument( + new ParseNode("ordgroup", expression, this.mode, + firstToken, lastToken), + false); + } else { + // Otherwise, just return a nucleus, or nothing for an optional group + return optional ? null : this.parseSymbol(); + } +}; + +/** + * Form ligature-like combinations of characters for text mode. + * This includes inputs like "--", "---", "``" and "''". + * The result will simply replace multiple textord nodes with a single + * character in each value by a single textord node having multiple + * characters in its value. The representation is still ASCII source. + * + * @param {Array.<ParseNode>} group the nodes of this group, + * list will be moified in place + */ +Parser.prototype.formLigatures = function(group) { + var i; + var n = group.length - 1; + for (i = 0; i < n; ++i) { + var a = group[i]; + var v = a.value; + if (v === "-" && group[i + 1].value === "-") { + if (i + 1 < n && group[i + 2].value === "-") { + group.splice(i, 3, new ParseNode( + "textord", "---", "text", a, group[i + 2])); + n -= 2; + } else { + group.splice(i, 2, new ParseNode( + "textord", "--", "text", a, group[i + 1])); + n -= 1; + } + } + if ((v === "'" || v === "`") && group[i + 1].value === v) { + group.splice(i, 2, new ParseNode( + "textord", v + v, "text", a, group[i + 1])); + n -= 1; + } + } +}; + +/** + * Parse a single symbol out of the string. Here, we handle both the functions + * we have defined, as well as the single character symbols + * + * @return {?ParseFuncOrArgument} + */ +Parser.prototype.parseSymbol = function() { + var nucleus = this.nextToken; + + if (functions[nucleus.text]) { + this.consume(); + // If there exists a function with this name, we return the function and + // say that it is a function. + return new ParseFuncOrArgument( + nucleus.text, + true, nucleus); + } else if (symbols[this.mode][nucleus.text]) { + this.consume(); + // Otherwise if this is a no-argument function, find the type it + // corresponds to in the symbols map + return new ParseFuncOrArgument( + new ParseNode(symbols[this.mode][nucleus.text].group, + nucleus.text, this.mode, nucleus), + false, nucleus); + } else if (this.mode === "text" && cjkRegex.test(nucleus.text)) { + this.consume(); + return new ParseFuncOrArgument( + new ParseNode("textord", nucleus.text, this.mode, nucleus), + false, nucleus); + } else { + return null; + } +}; + +Parser.prototype.ParseNode = ParseNode; + +module.exports = Parser; + +},{"./MacroExpander":4,"./ParseError":6,"./environments":16,"./functions":19,"./parseData":21,"./symbols":23,"./unicodeRegexes":24,"./utils":25}],8:[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); + this.throwOnError = get(options.throwOnError, true); + this.errorColor = get(options.errorColor, "#cc0000"); + this.macros = options.macros || {}; +} + +module.exports = Settings; + +},{}],9:[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], +}; + +},{}],10:[function(require,module,exports){ +/* eslint no-console:0 */ +/** + * This module contains general functions that can be used for building + * different kinds of domTree nodes in a consistent manner. + */ + +var domTree = require("./domTree"); +var fontMetrics = require("./fontMetrics"); +var symbols = require("./symbols"); +var utils = require("./utils"); + +var greekCapitals = [ + "\\Gamma", + "\\Delta", + "\\Theta", + "\\Lambda", + "\\Xi", + "\\Pi", + "\\Sigma", + "\\Upsilon", + "\\Phi", + "\\Psi", + "\\Omega", +]; + +// The following have to be loaded from Main-Italic font, using class mainit +var mainitLetters = [ + "\u0131", // dotless i, \imath + "\u0237", // dotless j, \jmath + "\u00a3", // \pounds +]; + +/** + * Makes a symbolNode after translation via the list of symbols in symbols.js. + * Correctly pulls out metrics for the character, and optionally takes a list of + * classes to be attached to the node. + */ +var makeSymbol = function(value, style, mode, color, classes) { + // Replace the value with its replaced value from symbol.js + if (symbols[mode][value] && symbols[mode][value].replace) { + value = symbols[mode][value].replace; + } + + var metrics = fontMetrics.getCharacterMetrics(value, style); + + var symbolNode; + if (metrics) { + symbolNode = new domTree.symbolNode( + value, metrics.height, metrics.depth, metrics.italic, metrics.skew, + classes); + } else { + // TODO(emily): Figure out a good way to only print this in development + typeof console !== "undefined" && console.warn( + "No character metrics for '" + value + "' in style '" + + style + "'"); + symbolNode = new domTree.symbolNode(value, 0, 0, 0, 0, classes); + } + + if (color) { + symbolNode.style.color = color; + } + + return symbolNode; +}; + +/** + * Makes a symbol in Main-Regular or AMS-Regular. + * Used for rel, bin, open, close, inner, and punct. + */ +var mathsym = function(value, mode, color, classes) { + // Decide what font to render the symbol in by its entry in the symbols + // table. + // Have a special case for when the value = \ because the \ is used as a + // textord in unsupported command errors but cannot be parsed as a regular + // text ordinal and is therefore not present as a symbol in the symbols + // table for text + if (value === "\\" || symbols[mode][value].font === "main") { + return makeSymbol(value, "Main-Regular", mode, color, classes); + } else { + return makeSymbol( + value, "AMS-Regular", mode, color, classes.concat(["amsrm"])); + } +}; + +/** + * Makes a symbol in the default font for mathords and textords. + */ +var mathDefault = function(value, mode, color, classes, type) { + if (type === "mathord") { + return mathit(value, mode, color, classes); + } else if (type === "textord") { + return makeSymbol( + value, "Main-Regular", mode, color, classes.concat(["mathrm"])); + } else { + throw new Error("unexpected type: " + type + " in mathDefault"); + } +}; + +/** + * Makes a symbol in the italic math font. + */ +var mathit = function(value, mode, color, classes) { + if (/[0-9]/.test(value.charAt(0)) || + // glyphs for \imath and \jmath do not exist in Math-Italic so we + // need to use Main-Italic instead + utils.contains(mainitLetters, 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(mainitLetters, value)) { + return mathit(value, mode, color, classes); + } else { + var fontName = fontMap[font].fontName; + if (fontMetrics.getCharacterMetrics(value, fontName)) { + return makeSymbol( + value, fontName, mode, color, classes.concat([font])); + } else { + return mathDefault(value, mode, color, classes, type); + } + } + } else { + return mathDefault(value, mode, color, classes, type); + } +}; + +/** + * Calculate the height, depth, and maxFontSize of an element based on its + * children. + */ +var sizeElementFromChildren = function(elem) { + var height = 0; + var depth = 0; + var maxFontSize = 0; + + if (elem.children) { + for (var i = 0; i < elem.children.length; i++) { + if (elem.children[i].height > height) { + height = elem.children[i].height; + } + if (elem.children[i].depth > depth) { + depth = elem.children[i].depth; + } + if (elem.children[i].maxFontSize > maxFontSize) { + maxFontSize = elem.children[i].maxFontSize; + } + } + } + + elem.height = height; + elem.depth = depth; + elem.maxFontSize = maxFontSize; +}; + +/** + * Makes a span with the given list of classes, list of children, and color. + */ +var makeSpan = function(classes, children, color) { + var span = new domTree.span(classes, children); + + sizeElementFromChildren(span); + + if (color) { + span.style.color = color; + } + + return span; +}; + +/** + * Makes a document fragment with the given list of children. + */ +var makeFragment = function(children) { + var fragment = new domTree.documentFragment(children); + + sizeElementFromChildren(fragment); + + return fragment; +}; + +/** + * Makes an element placed in each of the vlist elements to ensure that each + * element has the same max font size. To do this, we create a zero-width space + * with the correct font size. + */ +var makeFontSizer = function(options, fontSize) { + var fontSizeInner = makeSpan([], [new domTree.symbolNode("\u200b")]); + fontSizeInner.style.fontSize = + (fontSize / options.style.sizeMultiplier) + "em"; + + var fontSizer = makeSpan( + ["fontsize-ensurer", "reset-" + options.size, "size5"], + [fontSizeInner]); + + return fontSizer; +}; + +/** + * Makes a vertical list by stacking elements and kerns on top of each other. + * Allows for many different ways of specifying the positioning method. + * + * Arguments: + * - children: A list of child or kern nodes to be stacked on top of each other + * (i.e. the first element will be at the bottom, and the last at + * the top). Element nodes are specified as + * {type: "elem", elem: node} + * while kern nodes are specified as + * {type: "kern", size: size} + * - positionType: The method by which the vlist should be positioned. Valid + * values are: + * - "individualShift": The children list only contains elem + * nodes, and each node contains an extra + * "shift" value of how much it should be + * shifted (note that shifting is always + * moving downwards). positionData is + * ignored. + * - "top": The positionData specifies the topmost point of + * the vlist (note this is expected to be a height, + * so positive values move up) + * - "bottom": The positionData specifies the bottommost point + * of the vlist (note this is expected to be a + * depth, so positive values move down + * - "shift": The vlist will be positioned such that its + * baseline is positionData away from the baseline + * of the first child. Positive values move + * downwards. + * - "firstBaseline": The vlist will be positioned such that + * its baseline is aligned with the + * baseline of the first child. + * positionData is ignored. (this is + * equivalent to "shift" with + * positionData=0) + * - positionData: Data used in different ways depending on positionType + * - options: An Options object + * + */ +var makeVList = function(children, positionType, positionData, options) { + var depth; + var currPos; + var i; + if (positionType === "individualShift") { + var oldChildren = children; + children = [oldChildren[0]]; + + // Add in kerns to the list of children to get each element to be + // shifted to the correct specified shift + depth = -oldChildren[0].shift - oldChildren[0].elem.depth; + currPos = depth; + for (i = 1; i < oldChildren.length; i++) { + var diff = -oldChildren[i].shift - currPos - + oldChildren[i].elem.depth; + var size = diff - + (oldChildren[i - 1].elem.height + + oldChildren[i - 1].elem.depth); + + currPos = currPos + diff; + + children.push({type: "kern", size: size}); + children.push(oldChildren[i]); + } + } else if (positionType === "top") { + // We always start at the bottom, so calculate the bottom by adding up + // all the sizes + var bottom = positionData; + for (i = 0; i < children.length; i++) { + if (children[i].type === "kern") { + bottom -= children[i].size; + } else { + bottom -= children[i].elem.height + children[i].elem.depth; + } + } + depth = bottom; + } else if (positionType === "bottom") { + depth = -positionData; + } else if (positionType === "shift") { + depth = -children[0].elem.depth - positionData; + } else if (positionType === "firstBaseline") { + depth = -children[0].elem.depth; + } else { + depth = 0; + } + + // Make the fontSizer + var maxFontSize = 0; + for (i = 0; i < children.length; i++) { + if (children[i].type === "elem") { + maxFontSize = Math.max(maxFontSize, children[i].elem.maxFontSize); + } + } + var fontSizer = makeFontSizer(options, maxFontSize); + + // Create a new list of actual children at the correct offsets + var realChildren = []; + currPos = depth; + for (i = 0; i < children.length; i++) { + if (children[i].type === "kern") { + currPos += children[i].size; + } else { + var child = children[i].elem; + + var shift = -child.depth - currPos; + currPos += child.height + child.depth; + + var childWrap = makeSpan([], [fontSizer, child]); + childWrap.height -= shift; + childWrap.depth += shift; + childWrap.style.top = shift + "em"; + + realChildren.push(childWrap); + } + } + + // Add in an element at the end with no offset to fix the calculation of + // baselines in some browsers (namely IE, sometimes safari) + var baselineFix = makeSpan( + ["baseline-fix"], [fontSizer, new domTree.symbolNode("\u200b")]); + realChildren.push(baselineFix); + + var vlist = makeSpan(["vlist"], realChildren); + // Fix the final height and depth, in case there were kerns at the ends + // since the makeSpan calculation won't take that in to account. + vlist.height = Math.max(currPos, vlist.height); + vlist.depth = Math.max(-depth, vlist.depth); + return vlist; +}; + +// A table of size -> font size for the different sizing functions +var sizingMultiplier = { + size1: 0.5, + size2: 0.7, + size3: 0.8, + size4: 0.9, + size5: 1.0, + size6: 1.2, + size7: 1.44, + size8: 1.73, + size9: 2.07, + size10: 2.49, +}; + +// A map of spacing functions to their attributes, like size and corresponding +// CSS class +var spacingFunctions = { + "\\qquad": { + size: "2em", + className: "qquad", + }, + "\\quad": { + size: "1em", + className: "quad", + }, + "\\enspace": { + size: "0.5em", + className: "enspace", + }, + "\\;": { + size: "0.277778em", + className: "thickspace", + }, + "\\:": { + size: "0.22222em", + className: "mediumspace", + }, + "\\,": { + size: "0.16667em", + className: "thinspace", + }, + "\\!": { + size: "-0.16667em", + className: "negativethinspace", + }, +}; + +/** + * Maps TeX font commands to objects containing: + * - variant: string used for "mathvariant" attribute in buildMathML.js + * - fontName: the "style" parameter to fontMetrics.getCharacterMetrics + */ +// A map between tex font commands an MathML mathvariant attribute values +var fontMap = { + // styles + "mathbf": { + variant: "bold", + fontName: "Main-Bold", + }, + "mathrm": { + variant: "normal", + fontName: "Main-Regular", + }, + + // "mathit" is missing because it requires the use of two fonts: Main-Italic + // and Math-Italic. This is handled by a special case in makeOrd which ends + // up calling mathit. + + // families + "mathbb": { + variant: "double-struck", + fontName: "AMS-Regular", + }, + "mathcal": { + variant: "script", + fontName: "Caligraphic-Regular", + }, + "mathfrak": { + variant: "fraktur", + fontName: "Fraktur-Regular", + }, + "mathscr": { + variant: "script", + fontName: "Script-Regular", + }, + "mathsf": { + variant: "sans-serif", + fontName: "SansSerif-Regular", + }, + "mathtt": { + variant: "monospace", + fontName: "Typewriter-Regular", + }, +}; + +module.exports = { + fontMap: fontMap, + makeSymbol: makeSymbol, + mathsym: mathsym, + makeSpan: makeSpan, + makeFragment: makeFragment, + makeVList: makeVList, + makeOrd: makeOrd, + sizingMultiplier: sizingMultiplier, + spacingFunctions: spacingFunctions, +}; + +},{"./domTree":15,"./fontMetrics":17,"./symbols":23,"./utils":25}],11:[function(require,module,exports){ +/* eslint no-console:0 */ +/** + * This file does the main work of building a domTree structure from a parse + * tree. The entry point is the `buildHTML` function, which takes a parse tree. + * Then, the buildExpression, buildGroup, and various groupTypes functions are + * called, to produce a final HTML tree. + */ + +var ParseError = require("./ParseError"); +var Style = require("./Style"); + +var buildCommon = require("./buildCommon"); +var delimiter = require("./delimiter"); +var domTree = require("./domTree"); +var fontMetrics = require("./fontMetrics"); +var utils = require("./utils"); + +var makeSpan = buildCommon.makeSpan; + +/** + * Take a list of nodes, build them in order, and return a list of the built + * nodes. This function handles the `prev` node correctly, and passes the + * previous element from the list as the prev of the next element. + */ +var buildExpression = function(expression, options, prev) { + var groups = []; + for (var i = 0; i < expression.length; i++) { + var group = expression[i]; + groups.push(buildGroup(group, options, prev)); + prev = group; + } + return groups; +}; + +// List of types used by getTypeOfGroup, +// see https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types +var groupToType = { + mathord: "mord", + textord: "mord", + bin: "mbin", + rel: "mrel", + text: "mord", + open: "mopen", + close: "mclose", + inner: "minner", + genfrac: "mord", + array: "mord", + spacing: "mord", + punct: "mpunct", + ordgroup: "mord", + op: "mop", + katex: "mord", + overline: "mord", + underline: "mord", + rule: "mord", + leftright: "minner", + sqrt: "mord", + accent: "mord", +}; + +/** + * Gets the final math type of an expression, given its group type. This type is + * used to determine spacing between elements, and affects bin elements by + * causing them to change depending on what types are around them. This type + * must be attached to the outermost node of an element as a CSS class so that + * spacing with its surrounding elements works correctly. + * + * Some elements can be mapped one-to-one from group type to math type, and + * those are listed in the `groupToType` table. + * + * Others (usually elements that wrap around other elements) often have + * recursive definitions, and thus call `getTypeOfGroup` on their inner + * elements. + */ +var getTypeOfGroup = function(group) { + if (group == null) { + // Like when typesetting $^3$ + return groupToType.mathord; + } else if (group.type === "supsub") { + return getTypeOfGroup(group.value.base); + } else if (group.type === "llap" || group.type === "rlap") { + return getTypeOfGroup(group.value); + } else if (group.type === "color") { + return getTypeOfGroup(group.value.value); + } else if (group.type === "sizing") { + return getTypeOfGroup(group.value.value); + } else if (group.type === "styling") { + return getTypeOfGroup(group.value.value); + } else if (group.type === "delimsizing") { + return groupToType[group.value.delimType]; + } else { + return groupToType[group.type]; + } +}; + +/** + * Sometimes, groups perform special rules when they have superscripts or + * subscripts attached to them. This function lets the `supsub` group know that + * its inner element should handle the superscripts and subscripts instead of + * handling them itself. + */ +var shouldHandleSupSub = function(group, options) { + if (!group) { + return false; + } else if (group.type === "op") { + // Operators handle supsubs differently when they have limits + // (e.g. `\displaystyle\sum_2^3`) + return group.value.limits && + (options.style.size === Style.DISPLAY.size || + group.value.alwaysHandleSupSub); + } else if (group.type === "accent") { + return isCharacterBox(group.value.base); + } else { + return null; + } +}; + +/** + * Sometimes we want to pull out the innermost element of a group. In most + * cases, this will just be the group itself, but when ordgroups and colors have + * a single element, we want to pull that out. + */ +var getBaseElem = function(group) { + if (!group) { + return false; + } else if (group.type === "ordgroup") { + if (group.value.length === 1) { + return getBaseElem(group.value[0]); + } else { + return group; + } + } else if (group.type === "color") { + if (group.value.value.length === 1) { + return getBaseElem(group.value.value[0]); + } else { + return group; + } + } else if (group.type === "font") { + return getBaseElem(group.value.body); + } else { + return group; + } +}; + +/** + * TeXbook algorithms often reference "character boxes", which are simply groups + * with a single character in them. To decide if something is a character box, + * we find its innermost group, and see if it is a single character. + */ +var isCharacterBox = function(group) { + var baseElem = getBaseElem(group); + + // These are all they types of groups which hold single characters + return baseElem.type === "mathord" || + baseElem.type === "textord" || + baseElem.type === "bin" || + baseElem.type === "rel" || + baseElem.type === "inner" || + baseElem.type === "open" || + baseElem.type === "close" || + baseElem.type === "punct"; +}; + +var makeNullDelimiter = function(options) { + return makeSpan([ + "sizing", "reset-" + options.size, "size5", + options.style.reset(), Style.TEXT.cls(), + "nulldelimiter", + ]); +}; + +/** + * This is a map of group types to the function used to handle that type. + * Simpler types come at the beginning, while complicated types come afterwards. + */ +var groupTypes = {}; + +groupTypes.mathord = function(group, options, prev) { + return buildCommon.makeOrd(group, options, "mathord"); +}; + +groupTypes.textord = function(group, options, prev) { + return buildCommon.makeOrd(group, options, "textord"); +}; + +groupTypes.bin = function(group, options, prev) { + var className = "mbin"; + // Pull out the most recent element. Do some special handling to find + // things at the end of a \color group. Note that we don't use the same + // logic for ordgroups (which count as ords). + var prevAtom = prev; + while (prevAtom && prevAtom.type === "color") { + var atoms = prevAtom.value.value; + prevAtom = atoms[atoms.length - 1]; + } + // See TeXbook pg. 442-446, Rules 5 and 6, and the text before Rule 19. + // Here, we determine whether the bin should turn into an ord. We + // currently only apply Rule 5. + if (!prev || utils.contains(["mbin", "mopen", "mrel", "mop", "mpunct"], + getTypeOfGroup(prevAtom))) { + group.type = "textord"; + className = "mord"; + } + + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), [className]); +}; + +groupTypes.rel = function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mrel"]); +}; + +groupTypes.open = function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mopen"]); +}; + +groupTypes.close = function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mclose"]); +}; + +groupTypes.inner = function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["minner"]); +}; + +groupTypes.punct = function(group, options, prev) { + return buildCommon.mathsym( + group.value, group.mode, options.getColor(), ["mpunct"]); +}; + +groupTypes.ordgroup = function(group, options, prev) { + return makeSpan( + ["mord", options.style.cls()], + buildExpression(group.value, options.reset()) + ); +}; + +groupTypes.text = function(group, options, prev) { + return makeSpan(["text", "mord", options.style.cls()], + buildExpression(group.value.body, options.reset())); +}; + +groupTypes.color = function(group, options, prev) { + var elements = buildExpression( + group.value.value, + options.withColor(group.value.color), + prev + ); + + // \color isn't supposed to affect the type of the elements it contains. + // To accomplish this, we wrap the results in a fragment, so the inner + // elements will be able to directly interact with their neighbors. For + // example, `\color{red}{2 +} 3` has the same spacing as `2 + 3` + return new buildCommon.makeFragment(elements); +}; + +groupTypes.supsub = function(group, options, prev) { + // Superscript and subscripts are handled in the TeXbook on page + // 445-446, rules 18(a-f). + + // Here is where we defer to the inner group if it should handle + // superscripts and subscripts itself. + if (shouldHandleSupSub(group.value.base, options)) { + return groupTypes[group.value.base.type](group, options, prev); + } + + var base = buildGroup(group.value.base, options.reset()); + var supmid; + var submid; + var sup; + var sub; + + if (group.value.sup) { + sup = buildGroup(group.value.sup, + options.withStyle(options.style.sup())); + supmid = makeSpan( + [options.style.reset(), options.style.sup().cls()], [sup]); + } + + if (group.value.sub) { + sub = buildGroup(group.value.sub, + options.withStyle(options.style.sub())); + submid = makeSpan( + [options.style.reset(), options.style.sub().cls()], [sub]); + } + + // Rule 18a + var supShift; + var subShift; + if (isCharacterBox(group.value.base)) { + supShift = 0; + subShift = 0; + } else { + supShift = base.height - fontMetrics.metrics.supDrop; + subShift = base.depth + fontMetrics.metrics.subDrop; + } + + // Rule 18c + var minSupShift; + if (options.style === Style.DISPLAY) { + minSupShift = fontMetrics.metrics.sup1; + } else if (options.style.cramped) { + minSupShift = fontMetrics.metrics.sup3; + } else { + minSupShift = fontMetrics.metrics.sup2; + } + + // scriptspace is a font-size-independent size, so scale it + // appropriately + var multiplier = Style.TEXT.sizeMultiplier * + options.style.sizeMultiplier; + var scriptspace = + (0.5 / fontMetrics.metrics.ptPerEm) / multiplier + "em"; + + var supsub; + if (!group.value.sup) { + // Rule 18b + subShift = Math.max( + subShift, fontMetrics.metrics.sub1, + sub.height - 0.8 * fontMetrics.metrics.xHeight); + + supsub = buildCommon.makeVList([ + {type: "elem", elem: submid}, + ], "shift", subShift, options); + + supsub.children[0].style.marginRight = scriptspace; + + // Subscripts shouldn't be shifted by the base's italic correction. + // Account for that by shifting the subscript back the appropriate + // amount. Note we only do this when the base is a single symbol. + if (base instanceof domTree.symbolNode) { + supsub.children[0].style.marginLeft = -base.italic + "em"; + } + } else if (!group.value.sub) { + // Rule 18c, d + supShift = Math.max(supShift, minSupShift, + sup.depth + 0.25 * fontMetrics.metrics.xHeight); + + supsub = buildCommon.makeVList([ + {type: "elem", elem: supmid}, + ], "shift", -supShift, options); + + supsub.children[0].style.marginRight = scriptspace; + } else { + supShift = Math.max( + supShift, minSupShift, + sup.depth + 0.25 * fontMetrics.metrics.xHeight); + subShift = Math.max(subShift, fontMetrics.metrics.sub2); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness; + + // Rule 18e + if ((supShift - sup.depth) - (sub.height - subShift) < + 4 * ruleWidth) { + subShift = 4 * ruleWidth - (supShift - sup.depth) + sub.height; + var psi = 0.8 * fontMetrics.metrics.xHeight - + (supShift - sup.depth); + if (psi > 0) { + supShift += psi; + subShift -= psi; + } + } + + supsub = buildCommon.makeVList([ + {type: "elem", elem: submid, shift: subShift}, + {type: "elem", elem: supmid, shift: -supShift}, + ], "individualShift", null, options); + + // See comment above about subscripts not being shifted + if (base instanceof domTree.symbolNode) { + supsub.children[0].style.marginLeft = -base.italic + "em"; + } + + supsub.children[0].style.marginRight = scriptspace; + supsub.children[1].style.marginRight = scriptspace; + } + + // We ensure to wrap the supsub vlist in a span.msupsub to reset text-align + return makeSpan([getTypeOfGroup(group.value.base)], + [base, makeSpan(["msupsub"], [supsub])]); +}; + +groupTypes.genfrac = function(group, options, prev) { + // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e). + // Figure out what style this fraction should be in based on the + // function used + var fstyle = options.style; + if (group.value.size === "display") { + fstyle = Style.DISPLAY; + } else if (group.value.size === "text") { + fstyle = Style.TEXT; + } + + var nstyle = fstyle.fracNum(); + var dstyle = fstyle.fracDen(); + + var numer = buildGroup(group.value.numer, options.withStyle(nstyle)); + var numerreset = makeSpan([fstyle.reset(), nstyle.cls()], [numer]); + + var denom = buildGroup(group.value.denom, options.withStyle(dstyle)); + var denomreset = makeSpan([fstyle.reset(), dstyle.cls()], [denom]); + + var ruleWidth; + if (group.value.hasBarLine) { + ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + } else { + ruleWidth = 0; + } + + // Rule 15b + var numShift; + var clearance; + var denomShift; + if (fstyle.size === Style.DISPLAY.size) { + numShift = fontMetrics.metrics.num1; + if (ruleWidth > 0) { + clearance = 3 * ruleWidth; + } else { + clearance = 7 * fontMetrics.metrics.defaultRuleThickness; + } + denomShift = fontMetrics.metrics.denom1; + } else { + if (ruleWidth > 0) { + numShift = fontMetrics.metrics.num2; + clearance = ruleWidth; + } else { + numShift = fontMetrics.metrics.num3; + clearance = 3 * fontMetrics.metrics.defaultRuleThickness; + } + denomShift = fontMetrics.metrics.denom2; + } + + var frac; + if (ruleWidth === 0) { + // Rule 15c + var candiateClearance = + (numShift - numer.depth) - (denom.height - denomShift); + if (candiateClearance < clearance) { + numShift += 0.5 * (clearance - candiateClearance); + denomShift += 0.5 * (clearance - candiateClearance); + } + + frac = buildCommon.makeVList([ + {type: "elem", elem: denomreset, shift: denomShift}, + {type: "elem", elem: numerreset, shift: -numShift}, + ], "individualShift", null, options); + } else { + // Rule 15d + var axisHeight = fontMetrics.metrics.axisHeight; + + if ((numShift - numer.depth) - (axisHeight + 0.5 * ruleWidth) < + clearance) { + numShift += + clearance - ((numShift - numer.depth) - + (axisHeight + 0.5 * ruleWidth)); + } + + if ((axisHeight - 0.5 * ruleWidth) - (denom.height - denomShift) < + clearance) { + denomShift += + clearance - ((axisHeight - 0.5 * ruleWidth) - + (denom.height - denomShift)); + } + + var mid = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "frac-line"]); + // Manually set the height of the line because its height is + // created in CSS + mid.height = ruleWidth; + + var midShift = -(axisHeight - 0.5 * ruleWidth); + + frac = buildCommon.makeVList([ + {type: "elem", elem: denomreset, shift: denomShift}, + {type: "elem", elem: mid, shift: midShift}, + {type: "elem", elem: numerreset, shift: -numShift}, + ], "individualShift", null, options); + } + + // Since we manually change the style sometimes (with \dfrac or \tfrac), + // account for the possible size change here. + frac.height *= fstyle.sizeMultiplier / options.style.sizeMultiplier; + frac.depth *= fstyle.sizeMultiplier / options.style.sizeMultiplier; + + // Rule 15e + var delimSize; + if (fstyle.size === Style.DISPLAY.size) { + delimSize = fontMetrics.metrics.delim1; + } else { + delimSize = fontMetrics.metrics.getDelim2(fstyle); + } + + var leftDelim; + var rightDelim; + if (group.value.leftDelim == null) { + leftDelim = makeNullDelimiter(options); + } else { + leftDelim = delimiter.customSizedDelim( + group.value.leftDelim, delimSize, true, + options.withStyle(fstyle), group.mode); + } + if (group.value.rightDelim == null) { + rightDelim = makeNullDelimiter(options); + } else { + rightDelim = delimiter.customSizedDelim( + group.value.rightDelim, delimSize, true, + options.withStyle(fstyle), group.mode); + } + + return makeSpan( + ["mord", options.style.reset(), fstyle.cls()], + [leftDelim, makeSpan(["mfrac"], [frac]), rightDelim], + options.getColor()); +}; + +groupTypes.array = function(group, options, prev) { + var r; + var c; + var nr = group.value.body.length; + var nc = 0; + var body = new Array(nr); + + // Horizontal spacing + var pt = 1 / fontMetrics.metrics.ptPerEm; + var arraycolsep = 5 * pt; // \arraycolsep in article.cls + + // Vertical spacing + var baselineskip = 12 * pt; // see size10.clo + // Default \arraystretch from lttab.dtx + // TODO(gagern): may get redefined once we have user-defined macros + var arraystretch = utils.deflt(group.value.arraystretch, 1); + var arrayskip = arraystretch * baselineskip; + var arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and + var arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx + + var totalHeight = 0; + for (r = 0; r < group.value.body.length; ++r) { + var inrow = group.value.body[r]; + var height = arstrutHeight; // \@array adds an \@arstrut + var depth = arstrutDepth; // to each tow (via the template) + + if (nc < inrow.length) { + nc = inrow.length; + } + + var outrow = new Array(inrow.length); + for (c = 0; c < inrow.length; ++c) { + var elt = buildGroup(inrow[c], options); + if (depth < elt.depth) { + depth = elt.depth; + } + if (height < elt.height) { + height = elt.height; + } + outrow[c] = elt; + } + + var gap = 0; + if (group.value.rowGaps[r]) { + gap = group.value.rowGaps[r].value; + switch (gap.unit) { + case "em": + gap = gap.number; + break; + case "ex": + gap = gap.number * fontMetrics.metrics.emPerEx; + break; + default: + console.error("Can't handle unit " + gap.unit); + gap = 0; + } + if (gap > 0) { // \@argarraycr + gap += arstrutDepth; + if (depth < gap) { + depth = gap; // \@xargarraycr + } + gap = 0; + } + } + + outrow.height = height; + outrow.depth = depth; + totalHeight += height; + outrow.pos = totalHeight; + totalHeight += depth + gap; // \@yargarraycr + body[r] = outrow; + } + + var offset = totalHeight / 2 + fontMetrics.metrics.axisHeight; + var colDescriptions = group.value.cols || []; + var cols = []; + var colSep; + var colDescrNum; + for (c = 0, colDescrNum = 0; + // Continue while either there are more columns or more column + // descriptions, so trailing separators don't get lost. + c < nc || colDescrNum < colDescriptions.length; + ++c, ++colDescrNum) { + + var colDescr = colDescriptions[colDescrNum] || {}; + + var firstSeparator = true; + while (colDescr.type === "separator") { + // If there is more than one separator in a row, add a space + // between them. + if (!firstSeparator) { + colSep = makeSpan(["arraycolsep"], []); + colSep.style.width = + fontMetrics.metrics.doubleRuleSep + "em"; + cols.push(colSep); + } + + if (colDescr.separator === "|") { + var separator = makeSpan( + ["vertical-separator"], + []); + separator.style.height = totalHeight + "em"; + separator.style.verticalAlign = + -(totalHeight - offset) + "em"; + + cols.push(separator); + } else { + throw new ParseError( + "Invalid separator type: " + colDescr.separator); + } + + colDescrNum++; + colDescr = colDescriptions[colDescrNum] || {}; + firstSeparator = false; + } + + if (c >= nc) { + continue; + } + + var sepwidth; + if (c > 0 || group.value.hskipBeforeAndAfter) { + sepwidth = utils.deflt(colDescr.pregap, arraycolsep); + if (sepwidth !== 0) { + colSep = makeSpan(["arraycolsep"], []); + colSep.style.width = sepwidth + "em"; + cols.push(colSep); + } + } + + var col = []; + for (r = 0; r < nr; ++r) { + var row = body[r]; + var elem = row[c]; + if (!elem) { + continue; + } + var shift = row.pos - offset; + elem.depth = row.depth; + elem.height = row.height; + col.push({type: "elem", elem: elem, shift: shift}); + } + + col = buildCommon.makeVList(col, "individualShift", null, options); + col = makeSpan( + ["col-align-" + (colDescr.align || "c")], + [col]); + cols.push(col); + + if (c < nc - 1 || group.value.hskipBeforeAndAfter) { + sepwidth = utils.deflt(colDescr.postgap, arraycolsep); + if (sepwidth !== 0) { + colSep = makeSpan(["arraycolsep"], []); + colSep.style.width = sepwidth + "em"; + cols.push(colSep); + } + } + } + body = makeSpan(["mtable"], cols); + return makeSpan(["mord"], [body], options.getColor()); +}; + +groupTypes.spacing = function(group, options, prev) { + if (group.value === "\\ " || group.value === "\\space" || + group.value === " " || group.value === "~") { + // Spaces are generated by adding an actual space. Each of these + // things has an entry in the symbols table, so these will be turned + // into appropriate outputs. + return makeSpan( + ["mord", "mspace"], + [buildCommon.mathsym(group.value, group.mode)] + ); + } else { + // Other kinds of spaces are of arbitrary width. We use CSS to + // generate these. + return makeSpan( + ["mord", "mspace", + buildCommon.spacingFunctions[group.value].className]); + } +}; + +groupTypes.llap = function(group, options, prev) { + var inner = makeSpan( + ["inner"], [buildGroup(group.value.body, options.reset())]); + var fix = makeSpan(["fix"], []); + return makeSpan( + ["llap", options.style.cls()], [inner, fix]); +}; + +groupTypes.rlap = function(group, options, prev) { + var inner = makeSpan( + ["inner"], [buildGroup(group.value.body, options.reset())]); + var fix = makeSpan(["fix"], []); + return makeSpan( + ["rlap", options.style.cls()], [inner, fix]); +}; + +groupTypes.op = function(group, options, prev) { + // Operators are handled in the TeXbook pg. 443-444, rule 13(a). + var supGroup; + var subGroup; + var hasLimits = false; + if (group.type === "supsub" ) { + // If we have limits, supsub will pass us its group to handle. Pull + // out the superscript and subscript and set the group to the op in + // its base. + supGroup = group.value.sup; + subGroup = group.value.sub; + group = group.value.base; + hasLimits = true; + } + + // Most operators have a large successor symbol, but these don't. + var noSuccessor = [ + "\\smallint", + ]; + + var large = false; + if (options.style.size === Style.DISPLAY.size && + group.value.symbol && + !utils.contains(noSuccessor, group.value.body)) { + + // Most symbol operators get larger in displaystyle (rule 13) + large = true; + } + + var base; + var baseShift = 0; + var slant = 0; + if (group.value.symbol) { + // If this is a symbol, create the symbol. + var style = large ? "Size2-Regular" : "Size1-Regular"; + base = buildCommon.makeSymbol( + group.value.body, style, "math", options.getColor(), + ["op-symbol", large ? "large-op" : "small-op", "mop"]); + + // Shift the symbol so its center lies on the axis (rule 13). It + // appears that our fonts have the centers of the symbols already + // almost on the axis, so these numbers are very small. Note we + // don't actually apply this here, but instead it is used either in + // the vlist creation or separately when there are no limits. + baseShift = (base.height - base.depth) / 2 - + fontMetrics.metrics.axisHeight * + options.style.sizeMultiplier; + + // The slant of the symbol is just its italic correction. + slant = base.italic; + } else { + // Otherwise, this is a text operator. Build the text from the + // operator's name. + // TODO(emily): Add a space in the middle of some of these + // operators, like \limsup + var output = []; + for (var i = 1; i < group.value.body.length; i++) { + output.push(buildCommon.mathsym(group.value.body[i], group.mode)); + } + base = makeSpan(["mop"], output, options.getColor()); + } + + if (hasLimits) { + // IE 8 clips \int if it is in a display: inline-block. We wrap it + // in a new span so it is an inline, and works. + base = makeSpan([], [base]); + + var supmid; + var supKern; + var submid; + var subKern; + // We manually have to handle the superscripts and subscripts. This, + // aside from the kern calculations, is copied from supsub. + if (supGroup) { + var sup = buildGroup( + supGroup, options.withStyle(options.style.sup())); + supmid = makeSpan( + [options.style.reset(), options.style.sup().cls()], [sup]); + + supKern = Math.max( + fontMetrics.metrics.bigOpSpacing1, + fontMetrics.metrics.bigOpSpacing3 - sup.depth); + } + + if (subGroup) { + var sub = buildGroup( + subGroup, options.withStyle(options.style.sub())); + submid = makeSpan( + [options.style.reset(), options.style.sub().cls()], + [sub]); + + subKern = Math.max( + fontMetrics.metrics.bigOpSpacing2, + fontMetrics.metrics.bigOpSpacing4 - sub.height); + } + + // Build the final group as a vlist of the possible subscript, base, + // and possible superscript. + var finalGroup; + var top; + var bottom; + if (!supGroup) { + top = base.height - baseShift; + + finalGroup = buildCommon.makeVList([ + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}, + {type: "elem", elem: submid}, + {type: "kern", size: subKern}, + {type: "elem", elem: base}, + ], "top", top, options); + + // Here, we shift the limits by the slant of the symbol. Note + // that we are supposed to shift the limits by 1/2 of the slant, + // but since we are centering the limits adding a full slant of + // margin will shift by 1/2 that. + finalGroup.children[0].style.marginLeft = -slant + "em"; + } else if (!subGroup) { + bottom = base.depth + baseShift; + + finalGroup = buildCommon.makeVList([ + {type: "elem", elem: base}, + {type: "kern", size: supKern}, + {type: "elem", elem: supmid}, + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}, + ], "bottom", bottom, options); + + // See comment above about slants + finalGroup.children[1].style.marginLeft = slant + "em"; + } else if (!supGroup && !subGroup) { + // This case probably shouldn't occur (this would mean the + // supsub was sending us a group with no superscript or + // subscript) but be safe. + return base; + } else { + bottom = fontMetrics.metrics.bigOpSpacing5 + + submid.height + submid.depth + + subKern + + base.depth + baseShift; + + finalGroup = buildCommon.makeVList([ + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}, + {type: "elem", elem: submid}, + {type: "kern", size: subKern}, + {type: "elem", elem: base}, + {type: "kern", size: supKern}, + {type: "elem", elem: supmid}, + {type: "kern", size: fontMetrics.metrics.bigOpSpacing5}, + ], "bottom", bottom, options); + + // See comment above about slants + finalGroup.children[0].style.marginLeft = -slant + "em"; + finalGroup.children[2].style.marginLeft = slant + "em"; + } + + return makeSpan(["mop", "op-limits"], [finalGroup]); + } else { + if (group.value.symbol) { + base.style.top = baseShift + "em"; + } + + return base; + } +}; + +groupTypes.katex = function(group, options, prev) { + // The KaTeX logo. The offsets for the K and a were chosen to look + // good, but the offsets for the T, E, and X were taken from the + // definition of \TeX in TeX (see TeXbook pg. 356) + var k = makeSpan( + ["k"], [buildCommon.mathsym("K", group.mode)]); + var a = makeSpan( + ["a"], [buildCommon.mathsym("A", group.mode)]); + + a.height = (a.height + 0.2) * 0.75; + a.depth = (a.height - 0.2) * 0.75; + + var t = makeSpan( + ["t"], [buildCommon.mathsym("T", group.mode)]); + var e = makeSpan( + ["e"], [buildCommon.mathsym("E", group.mode)]); + + e.height = (e.height - 0.2155); + e.depth = (e.depth + 0.2155); + + var x = makeSpan( + ["x"], [buildCommon.mathsym("X", group.mode)]); + + return makeSpan( + ["katex-logo", "mord"], [k, a, t, e, x], options.getColor()); +}; + +groupTypes.overline = function(group, options, prev) { + // Overlines are handled in the TeXbook pg 443, Rule 9. + + // Build the inner group in the cramped style. + var innerGroup = buildGroup(group.value.body, + options.withStyle(options.style.cramp())); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + + // Create the line above the body + var line = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "overline-line"]); + line.height = ruleWidth; + line.maxFontSize = 1.0; + + // Generate the vlist, with the appropriate kerns + var vlist = buildCommon.makeVList([ + {type: "elem", elem: innerGroup}, + {type: "kern", size: 3 * ruleWidth}, + {type: "elem", elem: line}, + {type: "kern", size: ruleWidth}, + ], "firstBaseline", null, options); + + return makeSpan(["overline", "mord"], [vlist], options.getColor()); +}; + +groupTypes.underline = function(group, options, prev) { + // Underlines are handled in the TeXbook pg 443, Rule 10. + + // Build the inner group. + var innerGroup = buildGroup(group.value.body, options); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + + // Create the line above the body + var line = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "underline-line"]); + line.height = ruleWidth; + line.maxFontSize = 1.0; + + // Generate the vlist, with the appropriate kerns + var vlist = buildCommon.makeVList([ + {type: "kern", size: ruleWidth}, + {type: "elem", elem: line}, + {type: "kern", size: 3 * ruleWidth}, + {type: "elem", elem: innerGroup}, + ], "top", innerGroup.height, options); + + return makeSpan(["underline", "mord"], [vlist], options.getColor()); +}; + +groupTypes.sqrt = function(group, options, prev) { + // Square roots are handled in the TeXbook pg. 443, Rule 11. + + // First, we do the same steps as in overline to build the inner group + // and line + var inner = buildGroup(group.value.body, + options.withStyle(options.style.cramp())); + + var ruleWidth = fontMetrics.metrics.defaultRuleThickness / + options.style.sizeMultiplier; + + var line = makeSpan( + [options.style.reset(), Style.TEXT.cls(), "sqrt-line"], [], + options.getColor()); + line.height = ruleWidth; + line.maxFontSize = 1.0; + + var phi = ruleWidth; + if (options.style.id < Style.TEXT.id) { + phi = fontMetrics.metrics.xHeight; + } + + // Calculate the clearance between the body and line + var lineClearance = ruleWidth + phi / 4; + + var innerHeight = + (inner.height + inner.depth) * options.style.sizeMultiplier; + var minDelimiterHeight = innerHeight + lineClearance + ruleWidth; + + // Create a \surd delimiter of the required minimum size + var delim = makeSpan(["sqrt-sign"], [ + delimiter.customSizedDelim("\\surd", minDelimiterHeight, + false, options, group.mode)], + options.getColor()); + + var delimDepth = (delim.height + delim.depth) - ruleWidth; + + // Adjust the clearance based on the delimiter size + if (delimDepth > inner.height + inner.depth + lineClearance) { + lineClearance = + (lineClearance + delimDepth - inner.height - inner.depth) / 2; + } + + // Shift the delimiter so that its top lines up with the top of the line + var delimShift = -(inner.height + lineClearance + ruleWidth) + delim.height; + delim.style.top = delimShift + "em"; + delim.height -= delimShift; + delim.depth += delimShift; + + // We add a special case here, because even when `inner` is empty, we + // still get a line. So, we use a simple heuristic to decide if we + // should omit the body entirely. (note this doesn't work for something + // like `\sqrt{\rlap{x}}`, but if someone is doing that they deserve for + // it not to work. + var body; + if (inner.height === 0 && inner.depth === 0) { + body = makeSpan(); + } else { + body = buildCommon.makeVList([ + {type: "elem", elem: inner}, + {type: "kern", size: lineClearance}, + {type: "elem", elem: line}, + {type: "kern", size: ruleWidth}, + ], "firstBaseline", null, options); + } + + if (!group.value.index) { + return makeSpan(["sqrt", "mord"], [delim, body]); + } else { + // Handle the optional root index + + // The index is always in scriptscript style + var root = buildGroup( + group.value.index, + options.withStyle(Style.SCRIPTSCRIPT)); + var rootWrap = makeSpan( + [options.style.reset(), Style.SCRIPTSCRIPT.cls()], + [root]); + + // Figure out the height and depth of the inner part + var innerRootHeight = Math.max(delim.height, body.height); + var innerRootDepth = Math.max(delim.depth, body.depth); + + // The amount the index is shifted by. This is taken from the TeX + // source, in the definition of `\r@@t`. + var toShift = 0.6 * (innerRootHeight - innerRootDepth); + + // Build a VList with the superscript shifted up correctly + var rootVList = buildCommon.makeVList( + [{type: "elem", elem: rootWrap}], + "shift", -toShift, options); + // Add a class surrounding it so we can add on the appropriate + // kerning + var rootVListWrap = makeSpan(["root"], [rootVList]); + + return makeSpan(["sqrt", "mord"], [rootVListWrap, delim, body]); + } +}; + +groupTypes.sizing = function(group, options, prev) { + // Handle sizing operators like \Huge. Real TeX doesn't actually allow + // these functions inside of math expressions, so we do some special + // handling. + var inner = buildExpression(group.value.value, + options.withSize(group.value.size), prev); + + var span = makeSpan(["mord"], + [makeSpan(["sizing", "reset-" + options.size, group.value.size, + options.style.cls()], + inner)]); + + // Calculate the correct maxFontSize manually + var fontSize = buildCommon.sizingMultiplier[group.value.size]; + span.maxFontSize = fontSize * options.style.sizeMultiplier; + + return span; +}; + +groupTypes.styling = function(group, options, prev) { + // Style changes are handled in the TeXbook on pg. 442, Rule 3. + + // Figure out what style we're changing to. + var style = { + "display": Style.DISPLAY, + "text": Style.TEXT, + "script": Style.SCRIPT, + "scriptscript": Style.SCRIPTSCRIPT, + }; + + var newStyle = style[group.value.style]; + + // Build the inner expression in the new style. + var inner = buildExpression( + group.value.value, options.withStyle(newStyle), prev); + + return makeSpan([options.style.reset(), newStyle.cls()], inner); +}; + +groupTypes.font = function(group, options, prev) { + var font = group.value.font; + return buildGroup(group.value.body, options.withFont(font), prev); +}; + +groupTypes.delimsizing = function(group, options, prev) { + var delim = group.value.value; + + if (delim === ".") { + // Empty delimiters still count as elements, even though they don't + // show anything. + return makeSpan([groupToType[group.value.delimType]]); + } + + // Use delimiter.sizedDelim to generate the delimiter. + return makeSpan( + [groupToType[group.value.delimType]], + [delimiter.sizedDelim( + delim, group.value.size, options, group.mode)]); +}; + +groupTypes.leftright = function(group, options, prev) { + // Build the inner expression + var inner = buildExpression(group.value.body, options.reset()); + + var innerHeight = 0; + var innerDepth = 0; + + // Calculate its height and depth + for (var i = 0; i < inner.length; i++) { + innerHeight = Math.max(inner[i].height, innerHeight); + innerDepth = Math.max(inner[i].depth, innerDepth); + } + + // The size of delimiters is the same, regardless of what style we are + // in. Thus, to correctly calculate the size of delimiter we need around + // a group, we scale down the inner size based on the size. + innerHeight *= options.style.sizeMultiplier; + innerDepth *= options.style.sizeMultiplier; + + var leftDelim; + if (group.value.left === ".") { + // Empty delimiters in \left and \right make null delimiter spaces. + leftDelim = makeNullDelimiter(options); + } else { + // Otherwise, use leftRightDelim to generate the correct sized + // delimiter. + leftDelim = delimiter.leftRightDelim( + group.value.left, innerHeight, innerDepth, options, + group.mode); + } + // Add it to the beginning of the expression + inner.unshift(leftDelim); + + var rightDelim; + // Same for the right delimiter + if (group.value.right === ".") { + rightDelim = makeNullDelimiter(options); + } else { + rightDelim = delimiter.leftRightDelim( + group.value.right, innerHeight, innerDepth, options, + group.mode); + } + // Add it to the end of the expression. + inner.push(rightDelim); + + return makeSpan( + ["minner", options.style.cls()], inner, options.getColor()); +}; + +groupTypes.rule = function(group, options, prev) { + // Make an empty span for the rule + var rule = makeSpan(["mord", "rule"], [], options.getColor()); + + // Calculate the shift, width, and height of the rule, and account for units + var shift = 0; + if (group.value.shift) { + shift = group.value.shift.number; + if (group.value.shift.unit === "ex") { + shift *= fontMetrics.metrics.xHeight; + } + } + + var width = group.value.width.number; + if (group.value.width.unit === "ex") { + width *= fontMetrics.metrics.xHeight; + } + + var height = group.value.height.number; + if (group.value.height.unit === "ex") { + height *= fontMetrics.metrics.xHeight; + } + + // The sizes of rules are absolute, so make it larger if we are in a + // smaller style. + shift /= options.style.sizeMultiplier; + width /= options.style.sizeMultiplier; + height /= options.style.sizeMultiplier; + + // Style the rule to the right size + rule.style.borderRightWidth = width + "em"; + rule.style.borderTopWidth = height + "em"; + rule.style.bottom = shift + "em"; + + // Record the height and width + rule.width = width; + rule.height = height + shift; + rule.depth = -shift; + + return rule; +}; + +groupTypes.kern = function(group, options, prev) { + // Make an empty span for the rule + var rule = makeSpan(["mord", "rule"], [], options.getColor()); + + var dimension = 0; + if (group.value.dimension) { + dimension = group.value.dimension.number; + if (group.value.dimension.unit === "ex") { + dimension *= fontMetrics.metrics.xHeight; + } + } + + dimension /= options.style.sizeMultiplier; + + rule.style.marginLeft = dimension + "em"; + + return rule; +}; + +groupTypes.accent = function(group, options, prev) { + // Accents are handled in the TeXbook pg. 443, rule 12. + var base = group.value.base; + + var supsubGroup; + if (group.type === "supsub") { + // If our base is a character box, and we have superscripts and + // subscripts, the supsub will defer to us. In particular, we want + // to attach the superscripts and subscripts to the inner body (so + // that the position of the superscripts and subscripts won't be + // affected by the height of the accent). We accomplish this by + // sticking the base of the accent into the base of the supsub, and + // rendering that, while keeping track of where the accent is. + + // The supsub group is the group that was passed in + var supsub = group; + // The real accent group is the base of the supsub group + group = supsub.value.base; + // The character box is the base of the accent group + base = group.value.base; + // Stick the character box into the base of the supsub group + supsub.value.base = base; + + // Rerender the supsub group with its new base, and store that + // result. + supsubGroup = buildGroup( + supsub, options.reset(), prev); + } + + // Build the base group + var body = buildGroup( + base, options.withStyle(options.style.cramp())); + + // Calculate the skew of the accent. This is based on the line "If the + // nucleus is not a single character, let s = 0; otherwise set s to the + // kern amount for the nucleus followed by the \skewchar of its font." + // Note that our skew metrics are just the kern between each character + // and the skewchar. + var skew; + if (isCharacterBox(base)) { + // If the base is a character box, then we want the skew of the + // innermost character. To do that, we find the innermost character: + var baseChar = getBaseElem(base); + // Then, we render its group to get the symbol inside it + var baseGroup = buildGroup( + baseChar, options.withStyle(options.style.cramp())); + // Finally, we pull the skew off of the symbol. + skew = baseGroup.skew; + // Note that we now throw away baseGroup, because the layers we + // removed with getBaseElem might contain things like \color which + // we can't get rid of. + // TODO(emily): Find a better way to get the skew + } else { + skew = 0; + } + + // calculate the amount of space between the body and the accent + var clearance = Math.min(body.height, fontMetrics.metrics.xHeight); + + // Build the accent + var accent = buildCommon.makeSymbol( + group.value.accent, "Main-Regular", "math", options.getColor()); + // Remove the italic correction of the accent, because it only serves to + // shift the accent over to a place we don't want. + accent.italic = 0; + + // The \vec character that the fonts use is a combining character, and + // thus shows up much too far to the left. To account for this, we add a + // specific class which shifts the accent over to where we want it. + // TODO(emily): Fix this in a better way, like by changing the font + var vecClass = group.value.accent === "\\vec" ? "accent-vec" : null; + + var accentBody = makeSpan(["accent-body", vecClass], [ + makeSpan([], [accent])]); + + accentBody = buildCommon.makeVList([ + {type: "elem", elem: body}, + {type: "kern", size: -clearance}, + {type: "elem", elem: accentBody}, + ], "firstBaseline", null, options); + + // Shift the accent over by the skew. Note we shift by twice the skew + // because we are centering the accent, so by adding 2*skew to the left, + // we shift it to the right by 1*skew. + accentBody.children[1].style.marginLeft = 2 * skew + "em"; + + var accentWrap = makeSpan(["mord", "accent"], [accentBody]); + + if (supsubGroup) { + // Here, we replace the "base" child of the supsub with our newly + // generated accent. + supsubGroup.children[0] = accentWrap; + + // Since we don't rerun the height calculation after replacing the + // accent, we manually recalculate height. + supsubGroup.height = Math.max(accentWrap.height, supsubGroup.height); + + // Accents should always be ords, even when their innards are not. + supsubGroup.classes[0] = "mord"; + + return supsubGroup; + } else { + return accentWrap; + } +}; + +groupTypes.phantom = function(group, options, prev) { + var elements = buildExpression( + group.value.value, + options.withPhantom(), + prev + ); + + // \phantom isn't supposed to affect the elements it contains. + // See "color" for more details. + return new buildCommon.makeFragment(elements); +}; + +/** + * buildGroup is the function that takes a group and calls the correct groupType + * function for it. It also handles the interaction of size and style changes + * between parents and children. + */ +var buildGroup = function(group, options, prev) { + if (!group) { + return makeSpan(); + } + + if (groupTypes[group.type]) { + // Call the groupTypes function + var groupNode = groupTypes[group.type](group, options, prev); + var multiplier; + + // If the style changed between the parent and the current group, + // account for the size difference + if (options.style !== options.parentStyle) { + multiplier = options.style.sizeMultiplier / + options.parentStyle.sizeMultiplier; + + groupNode.height *= multiplier; + groupNode.depth *= multiplier; + } + + // If the size changed between the parent and the current group, account + // for that size difference. + if (options.size !== options.parentSize) { + multiplier = buildCommon.sizingMultiplier[options.size] / + buildCommon.sizingMultiplier[options.parentSize]; + + groupNode.height *= multiplier; + groupNode.depth *= multiplier; + } + + return groupNode; + } else { + throw new ParseError( + "Got group of unknown type: '" + group.type + "'"); + } +}; + +/** + * Take an entire parse tree, and build it into an appropriate set of HTML + * nodes. + */ +var buildHTML = function(tree, options) { + // buildExpression is destructive, so we need to make a clone + // of the incoming tree so that it isn't accidentally changed + tree = JSON.parse(JSON.stringify(tree)); + + // Build the expression contained in the tree + var expression = buildExpression(tree, options); + var body = makeSpan(["base", options.style.cls()], expression); + + // Add struts, which ensure that the top of the HTML element falls at the + // height of the expression, and the bottom of the HTML element falls at the + // depth of the expression. + var topStrut = makeSpan(["strut"]); + var bottomStrut = makeSpan(["strut", "bottom"]); + + topStrut.style.height = body.height + "em"; + bottomStrut.style.height = (body.height + body.depth) + "em"; + // We'd like to use `vertical-align: top` but in IE 9 this lowers the + // baseline of the box to the bottom of this strut (instead staying in the + // normal place) so we use an absolute value for vertical-align instead + bottomStrut.style.verticalAlign = -body.depth + "em"; + + // Wrap the struts and body together + var htmlNode = makeSpan(["katex-html"], [topStrut, bottomStrut, body]); + + htmlNode.setAttribute("aria-hidden", "true"); + + return htmlNode; +}; + +module.exports = buildHTML; + +},{"./ParseError":6,"./Style":9,"./buildCommon":10,"./delimiter":14,"./domTree":15,"./fontMetrics":17,"./utils":25}],12:[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 ParseError = require("./ParseError"); +var symbols = require("./symbols"); +var utils = require("./utils"); + +var makeSpan = buildCommon.makeSpan; +var fontMap = buildCommon.fontMap; + +/** + * Takes a symbol and converts it into a MathML text node after performing + * optional replacement from symbols.js. + */ +var makeText = function(text, mode) { + if (symbols[mode][text] && symbols[mode][text].replace) { + text = symbols[mode][text].replace; + } + + return new mathMLTree.TextNode(text); +}; + +/** + * Returns the math variant as a string or null if none is required. + */ +var getVariant = function(group, options) { + var font = options.font; + if (!font) { + return null; + } + + var mode = group.mode; + if (font === "mathit") { + return "italic"; + } + + var value = group.value; + if (utils.contains(["\\imath", "\\jmath"], value)) { + return null; + } + + if (symbols[mode][value] && symbols[mode][value].replace) { + value = symbols[mode][value].replace; + } + + var fontName = fontMap[font].fontName; + if (fontMetrics.getCharacterMetrics(value, fontName)) { + return fontMap[options.font].variant; + } + + return null; +}; + +/** + * Functions for handling the different types of groups found in the parse + * tree. Each function should take a parse group and return a MathML node. + */ +var groupTypes = {}; + +groupTypes.mathord = function(group, options) { + var node = new mathMLTree.MathNode( + "mi", + [makeText(group.value, group.mode)]); + + var variant = getVariant(group, options); + if (variant) { + node.setAttribute("mathvariant", variant); + } + return node; +}; + +groupTypes.textord = function(group, options) { + var text = makeText(group.value, group.mode); + + var variant = getVariant(group, options) || "normal"; + + var node; + if (/[0-9]/.test(group.value)) { + // TODO(kevinb) merge adjacent <mn> nodes + // do it as a post processing step + node = new mathMLTree.MathNode("mn", [text]); + if (options.font) { + node.setAttribute("mathvariant", variant); + } + } else { + node = new mathMLTree.MathNode("mi", [text]); + node.setAttribute("mathvariant", variant); + } + + return node; +}; + +groupTypes.bin = function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; +}; + +groupTypes.rel = function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; +}; + +groupTypes.open = function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; +}; + +groupTypes.close = function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; +}; + +groupTypes.inner = function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + return node; +}; + +groupTypes.punct = function(group) { + var node = new mathMLTree.MathNode( + "mo", [makeText(group.value, group.mode)]); + + node.setAttribute("separator", "true"); + + return node; +}; + +groupTypes.ordgroup = function(group, options) { + var inner = buildExpression(group.value, options); + + var node = new mathMLTree.MathNode("mrow", inner); + + return node; +}; + +groupTypes.text = function(group, options) { + var inner = buildExpression(group.value.body, options); + + var node = new mathMLTree.MathNode("mtext", inner); + + return node; +}; + +groupTypes.color = function(group, options) { + var inner = buildExpression(group.value.value, options); + + var node = new mathMLTree.MathNode("mstyle", inner); + + node.setAttribute("mathcolor", group.value.color); + + return node; +}; + +groupTypes.supsub = function(group, options) { + var children = [buildGroup(group.value.base, options)]; + + if (group.value.sub) { + children.push(buildGroup(group.value.sub, options)); + } + + if (group.value.sup) { + children.push(buildGroup(group.value.sup, options)); + } + + var nodeType; + if (!group.value.sub) { + nodeType = "msup"; + } else if (!group.value.sup) { + nodeType = "msub"; + } else { + nodeType = "msubsup"; + } + + var node = new mathMLTree.MathNode(nodeType, children); + + return node; +}; + +groupTypes.genfrac = function(group, options) { + var node = new mathMLTree.MathNode( + "mfrac", + [buildGroup(group.value.numer, options), + buildGroup(group.value.denom, options)]); + + if (!group.value.hasBarLine) { + node.setAttribute("linethickness", "0px"); + } + + if (group.value.leftDelim != null || group.value.rightDelim != null) { + var withDelims = []; + + if (group.value.leftDelim != null) { + var leftOp = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode(group.value.leftDelim)]); + + leftOp.setAttribute("fence", "true"); + + withDelims.push(leftOp); + } + + withDelims.push(node); + + if (group.value.rightDelim != null) { + var rightOp = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode(group.value.rightDelim)]); + + rightOp.setAttribute("fence", "true"); + + withDelims.push(rightOp); + } + + var outerNode = new mathMLTree.MathNode("mrow", withDelims); + + return outerNode; + } + + return node; +}; + +groupTypes.array = function(group, options) { + return new mathMLTree.MathNode( + "mtable", group.value.body.map(function(row) { + return new mathMLTree.MathNode( + "mtr", row.map(function(cell) { + return new mathMLTree.MathNode( + "mtd", [buildGroup(cell, options)]); + })); + })); +}; + +groupTypes.sqrt = function(group, options) { + var node; + if (group.value.index) { + node = new mathMLTree.MathNode( + "mroot", [ + buildGroup(group.value.body, options), + buildGroup(group.value.index, options), + ]); + } else { + node = new mathMLTree.MathNode( + "msqrt", [buildGroup(group.value.body, options)]); + } + + return node; +}; + +groupTypes.leftright = function(group, options) { + var inner = buildExpression(group.value.body, options); + + if (group.value.left !== ".") { + var leftNode = new mathMLTree.MathNode( + "mo", [makeText(group.value.left, group.mode)]); + + leftNode.setAttribute("fence", "true"); + + inner.unshift(leftNode); + } + + if (group.value.right !== ".") { + var rightNode = new mathMLTree.MathNode( + "mo", [makeText(group.value.right, group.mode)]); + + rightNode.setAttribute("fence", "true"); + + inner.push(rightNode); + } + + var outerNode = new mathMLTree.MathNode("mrow", inner); + + return outerNode; +}; + +groupTypes.accent = function(group, options) { + var accentNode = new mathMLTree.MathNode( + "mo", [makeText(group.value.accent, group.mode)]); + + var node = new mathMLTree.MathNode( + "mover", + [buildGroup(group.value.base, options), + accentNode]); + + node.setAttribute("accent", "true"); + + return node; +}; + +groupTypes.spacing = function(group) { + var node; + + if (group.value === "\\ " || group.value === "\\space" || + group.value === " " || group.value === "~") { + node = new mathMLTree.MathNode( + "mtext", [new mathMLTree.TextNode("\u00a0")]); + } else { + node = new mathMLTree.MathNode("mspace"); + + node.setAttribute( + "width", buildCommon.spacingFunctions[group.value].size); + } + + return node; +}; + +groupTypes.op = function(group) { + var node; + + // TODO(emily): handle big operators using the `largeop` attribute + + if (group.value.symbol) { + // This is a symbol. Just add the symbol. + node = new mathMLTree.MathNode( + "mo", [makeText(group.value.body, group.mode)]); + } else { + // This is a text operator. Add all of the characters from the + // operator's name. + // TODO(emily): Add a space in the middle of some of these + // operators, like \limsup. + node = new mathMLTree.MathNode( + "mi", [new mathMLTree.TextNode(group.value.body.slice(1))]); + } + + return node; +}; + +groupTypes.katex = function(group) { + var node = new mathMLTree.MathNode( + "mtext", [new mathMLTree.TextNode("KaTeX")]); + + return node; +}; + +groupTypes.font = function(group, options) { + var font = group.value.font; + return buildGroup(group.value.body, options.withFont(font)); +}; + +groupTypes.delimsizing = function(group) { + var children = []; + + if (group.value.value !== ".") { + children.push(makeText(group.value.value, group.mode)); + } + + var node = new mathMLTree.MathNode("mo", children); + + if (group.value.delimType === "open" || + group.value.delimType === "close") { + // Only some of the delimsizing functions act as fences, and they + // return "open" or "close" delimTypes. + node.setAttribute("fence", "true"); + } else { + // Explicitly disable fencing if it's not a fence, to override the + // defaults. + node.setAttribute("fence", "false"); + } + + return node; +}; + +groupTypes.styling = function(group, options) { + var inner = buildExpression(group.value.value, options); + + var node = new mathMLTree.MathNode("mstyle", inner); + + var styleAttributes = { + "display": ["0", "true"], + "text": ["0", "false"], + "script": ["1", "false"], + "scriptscript": ["2", "false"], + }; + + var attr = styleAttributes[group.value.style]; + + node.setAttribute("scriptlevel", attr[0]); + node.setAttribute("displaystyle", attr[1]); + + return node; +}; + +groupTypes.sizing = function(group, options) { + var inner = buildExpression(group.value.value, options); + + var node = new mathMLTree.MathNode("mstyle", inner); + + // TODO(emily): This doesn't produce the correct size for nested size + // changes, because we don't keep state of what style we're currently + // in, so we can't reset the size to normal before changing it. Now + // that we're passing an options parameter we should be able to fix + // this. + node.setAttribute( + "mathsize", buildCommon.sizingMultiplier[group.value.size] + "em"); + + return node; +}; + +groupTypes.overline = function(group, options) { + var operator = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode("\u203e")]); + operator.setAttribute("stretchy", "true"); + + var node = new mathMLTree.MathNode( + "mover", + [buildGroup(group.value.body, options), + operator]); + node.setAttribute("accent", "true"); + + return node; +}; + +groupTypes.underline = function(group, options) { + var operator = new mathMLTree.MathNode( + "mo", [new mathMLTree.TextNode("\u203e")]); + operator.setAttribute("stretchy", "true"); + + var node = new mathMLTree.MathNode( + "munder", + [buildGroup(group.value.body, options), + operator]); + node.setAttribute("accentunder", "true"); + + return node; +}; + +groupTypes.rule = function(group) { + // TODO(emily): Figure out if there's an actual way to draw black boxes + // in MathML. + var node = new mathMLTree.MathNode("mrow"); + + return node; +}; + +groupTypes.kern = function(group) { + // TODO(kevin): Figure out if there's a way to add space in MathML + var node = new mathMLTree.MathNode("mrow"); + + return node; +}; + +groupTypes.llap = function(group, options) { + var node = new mathMLTree.MathNode( + "mpadded", [buildGroup(group.value.body, options)]); + + node.setAttribute("lspace", "-1width"); + node.setAttribute("width", "0px"); + + return node; +}; + +groupTypes.rlap = function(group, options) { + var node = new mathMLTree.MathNode( + "mpadded", [buildGroup(group.value.body, options)]); + + node.setAttribute("width", "0px"); + + return node; +}; + +groupTypes.phantom = function(group, options, prev) { + var inner = buildExpression(group.value.value, options); + return new mathMLTree.MathNode("mphantom", inner); +}; + +/** + * Takes a list of nodes, builds them, and returns a list of the generated + * MathML nodes. A little simpler than the HTML version because we don't do any + * previous-node handling. + */ +var buildExpression = function(expression, options) { + var groups = []; + for (var i = 0; i < expression.length; i++) { + var group = expression[i]; + groups.push(buildGroup(group, options)); + } + return groups; +}; + +/** + * Takes a group from the parser and calls the appropriate groupTypes function + * on it to produce a MathML node. + */ +var buildGroup = function(group, options) { + if (!group) { + return new mathMLTree.MathNode("mrow"); + } + + if (groupTypes[group.type]) { + // Call the groupTypes function + return groupTypes[group.type](group, options); + } else { + throw new ParseError( + "Got group of unknown type: '" + group.type + "'"); + } +}; + +/** + * Takes a full parse tree and settings and builds a MathML representation of + * it. In particular, we put the elements from building the parse tree into a + * <semantics> tag so we can also include that TeX source as an annotation. + * + * Note that we actually return a domTree element with a `<math>` inside it so + * we can do appropriate styling. + */ +var buildMathML = function(tree, texExpression, options) { + var expression = buildExpression(tree, options); + + // Wrap up the expression in an mrow so it is presented in the semantics + // tag correctly. + var wrapper = new mathMLTree.MathNode("mrow", expression); + + // Build a TeX annotation of the source + var annotation = new mathMLTree.MathNode( + "annotation", [new mathMLTree.TextNode(texExpression)]); + + annotation.setAttribute("encoding", "application/x-tex"); + + var semantics = new mathMLTree.MathNode( + "semantics", [wrapper, annotation]); + + var math = new mathMLTree.MathNode("math", [semantics]); + + // You can't style <math> nodes, so we wrap the node in a span. + return makeSpan(["katex-mathml"], [math]); +}; + +module.exports = buildMathML; + +},{"./ParseError":6,"./buildCommon":10,"./fontMetrics":17,"./mathMLTree":20,"./symbols":23,"./utils":25}],13:[function(require,module,exports){ +var buildHTML = require("./buildHTML"); +var buildMathML = require("./buildMathML"); +var buildCommon = require("./buildCommon"); +var Options = require("./Options"); +var Settings = require("./Settings"); +var Style = require("./Style"); + +var makeSpan = buildCommon.makeSpan; + +var buildTree = function(tree, expression, settings) { + settings = settings || new Settings({}); + + var startStyle = Style.TEXT; + if (settings.displayMode) { + startStyle = Style.DISPLAY; + } + + // Setup the default options + var options = new Options({ + style: startStyle, + size: "size5", + }); + + // `buildHTML` sometimes messes with the parse tree (like turning bins -> + // ords), so we build the MathML version first. + var mathMLNode = buildMathML(tree, expression, options); + var htmlNode = buildHTML(tree, options); + + var katexNode = makeSpan(["katex"], [ + mathMLNode, htmlNode, + ]); + + if (settings.displayMode) { + return makeSpan(["katex-display"], [katexNode]); + } else { + return katexNode; + } +}; + +module.exports = buildTree; + +},{"./Options":5,"./Settings":8,"./Style":9,"./buildCommon":10,"./buildHTML":11,"./buildMathML":12}],14:[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; + var middle; + var repeat; + var bottom; + top = repeat = bottom = delim; + middle = null; + // Also keep track of what font the delimiters are in + var font = "Size1-Regular"; + + // We set the parts and font based on the symbol. Note that we use + // '\u23d0' instead of '|' and '\u2016' instead of '\\|' for the + // repeats of the arrows + if (delim === "\\uparrow") { + repeat = bottom = "\u23d0"; + } else if (delim === "\\Uparrow") { + repeat = bottom = "\u2016"; + } else if (delim === "\\downarrow") { + top = repeat = "\u23d0"; + } else if (delim === "\\Downarrow") { + top = repeat = "\u2016"; + } else if (delim === "\\updownarrow") { + top = "\\uparrow"; + repeat = "\u23d0"; + bottom = "\\downarrow"; + } else if (delim === "\\Updownarrow") { + top = "\\Uparrow"; + repeat = "\u2016"; + bottom = "\\Downarrow"; + } else if (delim === "[" || delim === "\\lbrack") { + top = "\u23a1"; + repeat = "\u23a2"; + bottom = "\u23a3"; + font = "Size4-Regular"; + } else if (delim === "]" || delim === "\\rbrack") { + top = "\u23a4"; + repeat = "\u23a5"; + bottom = "\u23a6"; + font = "Size4-Regular"; + } else if (delim === "\\lfloor") { + repeat = top = "\u23a2"; + bottom = "\u23a3"; + font = "Size4-Regular"; + } else if (delim === "\\lceil") { + top = "\u23a1"; + repeat = bottom = "\u23a2"; + font = "Size4-Regular"; + } else if (delim === "\\rfloor") { + repeat = top = "\u23a5"; + bottom = "\u23a6"; + font = "Size4-Regular"; + } else if (delim === "\\rceil") { + top = "\u23a4"; + repeat = bottom = "\u23a5"; + font = "Size4-Regular"; + } else if (delim === "(") { + top = "\u239b"; + repeat = "\u239c"; + bottom = "\u239d"; + font = "Size4-Regular"; + } else if (delim === ")") { + top = "\u239e"; + repeat = "\u239f"; + bottom = "\u23a0"; + font = "Size4-Regular"; + } else if (delim === "\\{" || delim === "\\lbrace") { + top = "\u23a7"; + middle = "\u23a8"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\}" || delim === "\\rbrace") { + top = "\u23ab"; + middle = "\u23ac"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\lgroup") { + top = "\u23a7"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\rgroup") { + top = "\u23ab"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\lmoustache") { + top = "\u23a7"; + bottom = "\u23ad"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\rmoustache") { + top = "\u23ab"; + bottom = "\u23a9"; + repeat = "\u23aa"; + font = "Size4-Regular"; + } else if (delim === "\\surd") { + top = "\ue001"; + bottom = "\u23b7"; + repeat = "\ue000"; + font = "Size4-Regular"; + } + + // Get the metrics of the four sections + var topMetrics = getMetrics(top, font); + var topHeightTotal = topMetrics.height + topMetrics.depth; + var repeatMetrics = getMetrics(repeat, font); + var repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth; + var bottomMetrics = getMetrics(bottom, font); + var bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth; + var middleHeightTotal = 0; + var middleFactor = 1; + if (middle !== null) { + var middleMetrics = getMetrics(middle, font); + middleHeightTotal = middleMetrics.height + middleMetrics.depth; + middleFactor = 2; // repeat symmetrically above and below middle + } + + // Calcuate the minimal height that the delimiter can have. + // It is at least the size of the top, bottom, and optional middle combined. + var minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; + + // Compute the number of copies of the repeat symbol we will need + var repeatCount = Math.ceil( + (heightTotal - minHeight) / (middleFactor * repeatHeightTotal)); + + // Compute the total height of the delimiter including all the symbols + var realHeightTotal = + minHeight + repeatCount * middleFactor * repeatHeightTotal; + + // The center of the delimiter is placed at the center of the axis. Note + // that in this context, "center" means that the delimiter should be + // centered around the axis in the current style, while normally it is + // centered around the axis in textstyle. + var axisHeight = fontMetrics.metrics.axisHeight; + if (center) { + axisHeight *= options.style.sizeMultiplier; + } + // Calculate the depth + var depth = realHeightTotal / 2 - axisHeight; + + // Now, we start building the pieces that will go into the vlist + + // Keep a list of the inner pieces + var inners = []; + + // Add the bottom symbol + inners.push(makeInner(bottom, font, mode)); + + var i; + if (middle === null) { + // Add that many symbols + for (i = 0; i < repeatCount; i++) { + inners.push(makeInner(repeat, font, mode)); + } + } else { + // When there is a middle bit, we need the middle part and two repeated + // sections + for (i = 0; i < repeatCount; i++) { + inners.push(makeInner(repeat, font, mode)); + } + inners.push(makeInner(middle, font, mode)); + for (i = 0; i < repeatCount; i++) { + inners.push(makeInner(repeat, font, mode)); + } + } + + // Add the top symbol + inners.push(makeInner(top, font, mode)); + + // Finally, build the vlist + var inner = buildCommon.makeVList(inners, "bottom", depth, options); + + return styleWrap( + makeSpan(["delimsizing", "mult"], [inner], options.getColor()), + Style.TEXT, options); +}; + +// There are three kinds of delimiters, delimiters that stack when they become +// too large +var stackLargeDelimiters = [ + "(", ")", "[", "\\lbrack", "]", "\\rbrack", + "\\{", "\\lbrace", "\\}", "\\rbrace", + "\\lfloor", "\\rfloor", "\\lceil", "\\rceil", + "\\surd", +]; + +// delimiters that always stack +var stackAlwaysDelimiters = [ + "\\uparrow", "\\downarrow", "\\updownarrow", + "\\Uparrow", "\\Downarrow", "\\Updownarrow", + "|", "\\|", "\\vert", "\\Vert", + "\\lvert", "\\rvert", "\\lVert", "\\rVert", + "\\lgroup", "\\rgroup", "\\lmoustache", "\\rmoustache", +]; + +// and delimiters that never stack +var stackNeverDelimiters = [ + "<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt", +]; + +// Metrics of the different sizes. Found by looking at TeX's output of +// $\bigl| // \Bigl| \biggl| \Biggl| \showlists$ +// Used to create stacked delimiters of appropriate sizes in makeSizedDelim. +var sizeToMaxHeight = [0, 1.2, 1.8, 2.4, 3.0]; + +/** + * Used to create a delimiter of a specific size, where `size` is 1, 2, 3, or 4. + */ +var makeSizedDelim = function(delim, size, options, mode) { + // < and > turn into \langle and \rangle in delimiters + if (delim === "<" || delim === "\\lt") { + delim = "\\langle"; + } else if (delim === ">" || delim === "\\gt") { + delim = "\\rangle"; + } + + // Sized delimiters are never centered. + if (utils.contains(stackLargeDelimiters, delim) || + utils.contains(stackNeverDelimiters, delim)) { + return makeLargeDelim(delim, size, false, options, mode); + } else if (utils.contains(stackAlwaysDelimiters, delim)) { + return makeStackedDelim( + delim, sizeToMaxHeight[size], false, options, mode); + } else { + throw new ParseError("Illegal delimiter: '" + delim + "'"); + } +}; + +/** + * There are three different sequences of delimiter sizes that the delimiters + * follow depending on the kind of delimiter. This is used when creating custom + * sized delimiters to decide whether to create a small, large, or stacked + * delimiter. + * + * In real TeX, these sequences aren't explicitly defined, but are instead + * defined inside the font metrics. Since there are only three sequences that + * are possible for the delimiters that TeX defines, it is easier to just encode + * them explicitly here. + */ + +// Delimiters that never stack try small delimiters and large delimiters only +var stackNeverDelimiterSequence = [ + {type: "small", style: Style.SCRIPTSCRIPT}, + {type: "small", style: Style.SCRIPT}, + {type: "small", style: Style.TEXT}, + {type: "large", size: 1}, + {type: "large", size: 2}, + {type: "large", size: 3}, + {type: "large", size: 4}, +]; + +// Delimiters that always stack try the small delimiters first, then stack +var stackAlwaysDelimiterSequence = [ + {type: "small", style: Style.SCRIPTSCRIPT}, + {type: "small", style: Style.SCRIPT}, + {type: "small", style: Style.TEXT}, + {type: "stack"}, +]; + +// Delimiters that stack when large try the small and then large delimiters, and +// stack afterwards +var stackLargeDelimiterSequence = [ + {type: "small", style: Style.SCRIPTSCRIPT}, + {type: "small", style: Style.SCRIPT}, + {type: "small", style: Style.TEXT}, + {type: "large", size: 1}, + {type: "large", size: 2}, + {type: "large", size: 3}, + {type: "large", size: 4}, + {type: "stack"}, +]; + +/** + * Get the font used in a delimiter based on what kind of delimiter it is. + */ +var delimTypeToFont = function(type) { + if (type.type === "small") { + return "Main-Regular"; + } else if (type.type === "large") { + return "Size" + type.size + "-Regular"; + } else if (type.type === "stack") { + return "Size4-Regular"; + } +}; + +/** + * Traverse a sequence of types of delimiters to decide what kind of delimiter + * should be used to create a delimiter of the given height+depth. + */ +var traverseSequence = function(delim, height, sequence, options) { + // Here, we choose the index we should start at in the sequences. In smaller + // sizes (which correspond to larger numbers in style.size) we start earlier + // in the sequence. Thus, scriptscript starts at index 3-3=0, script starts + // at index 3-2=1, text starts at 3-1=2, and display starts at min(2,3-0)=2 + var start = Math.min(2, 3 - options.style.size); + for (var i = start; i < sequence.length; i++) { + if (sequence[i].type === "stack") { + // This is always the last delimiter, so we just break the loop now. + break; + } + + var metrics = getMetrics(delim, delimTypeToFont(sequence[i])); + var heightDepth = metrics.height + metrics.depth; + + // Small delimiters are scaled down versions of the same font, so we + // account for the style change size. + + if (sequence[i].type === "small") { + heightDepth *= sequence[i].style.sizeMultiplier; + } + + // Check if the delimiter at this size works for the given height. + if (heightDepth > height) { + return sequence[i]; + } + } + + // If we reached the end of the sequence, return the last sequence element. + return sequence[sequence.length - 1]; +}; + +/** + * Make a delimiter of a given height+depth, with optional centering. Here, we + * traverse the sequences, and create a delimiter that the sequence tells us to. + */ +var makeCustomSizedDelim = function(delim, height, center, options, mode) { + if (delim === "<" || delim === "\\lt") { + delim = "\\langle"; + } else if (delim === ">" || delim === "\\gt") { + delim = "\\rangle"; + } + + // Decide what sequence to use + var sequence; + if (utils.contains(stackNeverDelimiters, delim)) { + sequence = stackNeverDelimiterSequence; + } else if (utils.contains(stackLargeDelimiters, delim)) { + sequence = stackLargeDelimiterSequence; + } else { + sequence = stackAlwaysDelimiterSequence; + } + + // Look through the sequence + var delimType = traverseSequence(delim, height, sequence, options); + + // Depending on the sequence element we decided on, call the appropriate + // function. + if (delimType.type === "small") { + return makeSmallDelim(delim, delimType.style, center, options, mode); + } else if (delimType.type === "large") { + return makeLargeDelim(delim, delimType.size, center, options, mode); + } else if (delimType.type === "stack") { + return makeStackedDelim(delim, height, center, options, mode); + } +}; + +/** + * Make a delimiter for use with `\left` and `\right`, given a height and depth + * of an expression that the delimiters surround. + */ +var makeLeftRightDelim = function(delim, height, depth, options, mode) { + // We always center \left/\right delimiters, so the axis is always shifted + var axisHeight = + fontMetrics.metrics.axisHeight * options.style.sizeMultiplier; + + // Taken from TeX source, tex.web, function make_left_right + var delimiterFactor = 901; + var delimiterExtend = 5.0 / fontMetrics.metrics.ptPerEm; + + var maxDistFromAxis = Math.max( + height - axisHeight, depth + axisHeight); + + var totalHeight = Math.max( + // In real TeX, calculations are done using integral values which are + // 65536 per pt, or 655360 per em. So, the division here truncates in + // TeX but doesn't here, producing different results. If we wanted to + // exactly match TeX's calculation, we could do + // Math.floor(655360 * maxDistFromAxis / 500) * + // delimiterFactor / 655360 + // (To see the difference, compare + // x^{x^{\left(\rule{0.1em}{0.68em}\right)}} + // in TeX and KaTeX) + maxDistFromAxis / 500 * delimiterFactor, + 2 * maxDistFromAxis - delimiterExtend); + + // Finally, we defer to `makeCustomSizedDelim` with our calculated total + // height + return makeCustomSizedDelim(delim, totalHeight, true, options, mode); +}; + +module.exports = { + sizedDelim: makeSizedDelim, + customSizedDelim: makeCustomSizedDelim, + leftRightDelim: makeLeftRightDelim, +}; + +},{"./ParseError":6,"./Style":9,"./buildCommon":10,"./fontMetrics":17,"./symbols":23,"./utils":25}],15:[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 unicodeRegexes = require("./unicodeRegexes"); +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; +}; + +var iCombinations = { + 'î': '\u0131\u0302', + 'ï': '\u0131\u0308', + 'í': '\u0131\u0301', + // 'ī': '\u0131\u0304', // enable when we add Extended Latin + 'ì': '\u0131\u0300', +}; + +/** + * A symbol node contains information about a single symbol. It either renders + * to a single text node, or a span with a single text node in it, depending on + * whether it has CSS classes, styles, or needs italic correction. + */ +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; + + // Mark CJK characters with specific classes so that we can specify which + // fonts to use. This allows us to render these characters with a serif + // font in situations where the browser would either default to a sans serif + // or render a placeholder character. + if (unicodeRegexes.cjkRegex.test(value)) { + // I couldn't find any fonts that contained Hangul as well as all of + // the other characters we wanted to test there for it gets its own + // CSS class. + if (unicodeRegexes.hangulRegex.test(value)) { + this.classes.push('hangul_fallback'); + } else { + this.classes.push('cjk_fallback'); + } + } + + if (/[îïíì]/.test(this.value)) { // add ī when we add Extended Latin + this.value = iCombinations[this.value]; + } +} + +/** + * 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, +}; + +},{"./unicodeRegexes":24,"./utils":25}],16:[function(require,module,exports){ +/* eslint no-constant-condition:0 */ +var fontMetrics = require("./fontMetrics"); +var parseData = require("./parseData"); +var ParseError = require("./ParseError"); + +var ParseNode = parseData.ParseNode; + +/** + * Parse the body of the environment, with rows delimited by \\ and + * columns delimited by &, and create a nested list in row-major order + * with one group per cell. + */ +function parseArray(parser, result) { + var row = []; + var body = [row]; + var rowGaps = []; + while (true) { + var cell = parser.parseExpression(false, null); + row.push(new ParseNode("ordgroup", cell, parser.mode)); + var next = parser.nextToken.text; + if (next === "&") { + parser.consume(); + } else if (next === "\\end") { + break; + } else if (next === "\\\\" || next === "\\cr") { + var cr = parser.parseFunction(); + rowGaps.push(cr.value.size); + row = []; + body.push(row); + } else { + throw new ParseError("Expected & or \\\\ or \\end", + parser.nextToken); + } + } + result.body = body; + result.rowGaps = rowGaps; + return new ParseNode(result.type, result, parser.mode); +} + +/* + * An environment definition is very similar to a function definition: + * it is declared with a name or a list of names, a set of properties + * and a handler containing the actual implementation. + * + * The properties include: + * - numArgs: The number of arguments after the \begin{name} function. + * - argTypes: (optional) Just like for a function + * - allowedInText: (optional) Whether or not the environment is allowed inside + * text mode (default false) (not enforced yet) + * - numOptionalArgs: (optional) Just like for a function + * A bare number instead of that object indicates the numArgs value. + * + * The handler function will receive two arguments + * - context: information and references provided by the parser + * - args: an array of arguments passed to \begin{name} + * The context contains the following properties: + * - envName: the name of the environment, one of the listed names. + * - parser: the parser object + * - lexer: the lexer object + * - positions: the positions associated with these arguments from args. + * The handler must return a ParseResult. + */ + +function defineEnvironment(names, props, handler) { + if (typeof names === "string") { + names = [names]; + } + if (typeof props === "number") { + props = { numArgs: props }; + } + // Set default values of environments + var data = { + numArgs: props.numArgs || 0, + argTypes: props.argTypes, + greediness: 1, + allowedInText: !!props.allowedInText, + numOptionalArgs: props.numOptionalArgs || 0, + handler: handler, + }; + for (var i = 0; i < names.length; ++i) { + module.exports[names[i]] = data; + } +} + +// Arrays are part of LaTeX, defined in lttab.dtx so its documentation +// is part of the source2e.pdf file of LaTeX2e source documentation. +defineEnvironment("array", { + numArgs: 1, +}, function(context, args) { + var colalign = args[0]; + colalign = colalign.value.map ? colalign.value : [colalign]; + var cols = colalign.map(function(node) { + var ca = node.value; + if ("lcr".indexOf(ca) !== -1) { + return { + type: "align", + align: ca, + }; + } else if (ca === "|") { + return { + type: "separator", + separator: "|", + }; + } + throw new ParseError( + "Unknown column alignment: " + node.value, + node); + }); + var res = { + type: "array", + cols: cols, + hskipBeforeAndAfter: true, // \@preamble in lttab.dtx + }; + res = parseArray(context.parser, res); + return res; +}); + +// The matrix environments of amsmath builds on the array environment +// of LaTeX, which is discussed above. +defineEnvironment([ + "matrix", + "pmatrix", + "bmatrix", + "Bmatrix", + "vmatrix", + "Vmatrix", +], { +}, function(context) { + var delimiters = { + "matrix": null, + "pmatrix": ["(", ")"], + "bmatrix": ["[", "]"], + "Bmatrix": ["\\{", "\\}"], + "vmatrix": ["|", "|"], + "Vmatrix": ["\\Vert", "\\Vert"], + }[context.envName]; + var res = { + type: "array", + hskipBeforeAndAfter: false, // \hskip -\arraycolsep in amsmath + }; + res = parseArray(context.parser, res); + if (delimiters) { + res = new ParseNode("leftright", { + body: [res], + left: delimiters[0], + right: delimiters[1], + }, context.mode); + } + return res; +}); + +// A cases environment (in amsmath.sty) is almost equivalent to +// \def\arraystretch{1.2}% +// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right. +defineEnvironment("cases", { +}, function(context) { + var res = { + type: "array", + arraystretch: 1.2, + cols: [{ + type: "align", + align: "l", + pregap: 0, + postgap: fontMetrics.metrics.quad, + }, { + type: "align", + align: "l", + pregap: 0, + postgap: 0, + }], + }; + res = parseArray(context.parser, res); + res = new ParseNode("leftright", { + body: [res], + left: "\\{", + right: ".", + }, context.mode); + return res; +}); + +// An aligned environment is like the align* environment +// except it operates within math mode. +// Note that we assume \nomallineskiplimit to be zero, +// so that \strut@ is the same as \strut. +defineEnvironment("aligned", { +}, function(context) { + var res = { + type: "array", + cols: [], + }; + res = parseArray(context.parser, res); + var emptyGroup = new ParseNode("ordgroup", [], context.mode); + var numCols = 0; + res.value.body.forEach(function(row) { + var i; + for (i = 1; i < row.length; i += 2) { + row[i].value.unshift(emptyGroup); + } + if (numCols < row.length) { + numCols = row.length; + } + }); + for (var i = 0; i < numCols; ++i) { + var align = "r"; + var pregap = 0; + if (i % 2 === 1) { + align = "l"; + } else if (i > 0) { + pregap = 2; // one \qquad between columns + } + res.value.cols[i] = { + type: "align", + align: align, + pregap: pregap, + postgap: 0, + }; + } + return res; +}); + +},{"./ParseError":6,"./fontMetrics":17,"./parseData":21}],17:[function(require,module,exports){ +/* eslint no-unused-vars:0 */ + +var Style = require("./Style"); +var cjkRegex = require("./unicodeRegexes").cjkRegex; + +/** + * This file contains metrics regarding fonts and individual symbols. The sigma + * and xi variables, as well as the metricMap map contain data extracted from + * TeX, TeX font metrics, and the TTF files. These data are then exposed via the + * `metrics` variable and the getCharacterMetrics function. + */ + +// These font metrics are extracted from TeX by using +// \font\a=cmmi10 +// \showthe\fontdimenX\a +// where X is the corresponding variable number. These correspond to the font +// parameters of the symbol fonts. In TeX, there are actually three sets of +// dimensions, one for each of textstyle, scriptstyle, and scriptscriptstyle, +// but we only use the textstyle ones, and scale certain dimensions accordingly. +// See the TeXbook, page 441. +var sigma1 = 0.025; +var sigma2 = 0; +var sigma3 = 0; +var sigma4 = 0; +var sigma5 = 0.431; +var sigma6 = 1; +var sigma7 = 0; +var sigma8 = 0.677; +var sigma9 = 0.394; +var sigma10 = 0.444; +var sigma11 = 0.686; +var sigma12 = 0.345; +var sigma13 = 0.413; +var sigma14 = 0.363; +var sigma15 = 0.289; +var sigma16 = 0.150; +var sigma17 = 0.247; +var sigma18 = 0.386; +var sigma19 = 0.050; +var sigma20 = 2.390; +var sigma21 = 1.01; +var sigma21Script = 0.81; +var sigma21ScriptScript = 0.71; +var sigma22 = 0.250; + +// These font metrics are extracted from TeX by using +// \font\a=cmex10 +// \showthe\fontdimenX\a +// where X is the corresponding variable number. These correspond to the font +// parameters of the extension fonts (family 3). See the TeXbook, page 441. +var xi1 = 0; +var xi2 = 0; +var xi3 = 0; +var xi4 = 0; +var xi5 = 0.431; +var xi6 = 1; +var xi7 = 0; +var xi8 = 0.04; +var xi9 = 0.111; +var xi10 = 0.166; +var xi11 = 0.2; +var xi12 = 0.6; +var xi13 = 0.1; + +// This value determines how large a pt is, for metrics which are defined in +// terms of pts. +// This value is also used in katex.less; if you change it make sure the values +// match. +var ptPerEm = 10.0; + +// The space between adjacent `|` columns in an array definition. From +// `\showthe\doublerulesep` in LaTeX. +var doubleRuleSep = 2.0 / ptPerEm; + +/** + * This is just a mapping from common names to real metrics + */ +var metrics = { + xHeight: sigma5, + quad: sigma6, + num1: sigma8, + num2: sigma9, + num3: sigma10, + denom1: sigma11, + denom2: sigma12, + sup1: sigma13, + sup2: sigma14, + sup3: sigma15, + sub1: sigma16, + sub2: sigma17, + supDrop: sigma18, + subDrop: sigma19, + axisHeight: sigma22, + defaultRuleThickness: xi8, + bigOpSpacing1: xi9, + bigOpSpacing2: xi10, + bigOpSpacing3: xi11, + bigOpSpacing4: xi12, + bigOpSpacing5: xi13, + ptPerEm: ptPerEm, + emPerEx: sigma5 / sigma6, + doubleRuleSep: doubleRuleSep, + + // TODO(alpert): Missing parallel structure here. We should probably add + // style-specific metrics for all of these. + delim1: sigma20, + getDelim2: function(style) { + if (style.size === Style.TEXT.size) { + return sigma21; + } else if (style.size === Style.SCRIPT.size) { + return sigma21Script; + } else if (style.size === Style.SCRIPTSCRIPT.size) { + return sigma21ScriptScript; + } + throw new Error("Unexpected style size: " + style.size); + }, +}; + +// This map contains a mapping from font name and character code to character +// metrics, including height, depth, italic correction, and skew (kern from the +// character to the corresponding \skewchar) +// This map is generated via `make metrics`. It should not be changed manually. +var metricMap = require("./fontMetricsData"); + +// These are very rough approximations. We default to Times New Roman which +// should have Latin-1 and Cyrillic characters, but may not depending on the +// operating system. The metrics do not account for extra height from the +// accents. In the case of Cyrillic characters which have both ascenders and +// descenders we prefer approximations with ascenders, primarily to prevent +// the fraction bar or root line from intersecting the glyph. +// TODO(kevinb) allow union of multiple glyph metrics for better accuracy. +var extraCharacterMap = { + // Latin-1 + 'À': 'A', + 'Á': 'A', + 'Â': 'A', + 'Ã': 'A', + 'Ä': 'A', + 'Å': 'A', + 'Æ': 'A', + 'Ç': 'C', + 'È': 'E', + 'É': 'E', + 'Ê': 'E', + 'Ë': 'E', + 'Ì': 'I', + 'Í': 'I', + 'Î': 'I', + 'Ï': 'I', + 'Ð': 'D', + 'Ñ': 'N', + 'Ò': 'O', + 'Ó': 'O', + 'Ô': 'O', + 'Õ': 'O', + 'Ö': 'O', + 'Ø': 'O', + 'Ù': 'U', + 'Ú': 'U', + 'Û': 'U', + 'Ü': 'U', + 'Ý': 'Y', + 'Þ': 'o', + 'ß': 'B', + 'à': 'a', + 'á': 'a', + 'â': 'a', + 'ã': 'a', + 'ä': 'a', + 'å': 'a', + 'æ': 'a', + 'ç': 'c', + 'è': 'e', + 'é': 'e', + 'ê': 'e', + 'ë': 'e', + 'ì': 'i', + 'í': 'i', + 'î': 'i', + 'ï': 'i', + 'ð': 'd', + 'ñ': 'n', + 'ò': 'o', + 'ó': 'o', + 'ô': 'o', + 'õ': 'o', + 'ö': 'o', + 'ø': 'o', + 'ù': 'u', + 'ú': 'u', + 'û': 'u', + 'ü': 'u', + 'ý': 'y', + 'þ': 'o', + 'ÿ': 'y', + + // Cyrillic + 'А': 'A', + 'Б': 'B', + 'В': 'B', + 'Г': 'F', + 'Д': 'A', + 'Е': 'E', + 'Ж': 'K', + 'З': '3', + 'И': 'N', + 'Й': 'N', + 'К': 'K', + 'Л': 'N', + 'М': 'M', + 'Н': 'H', + 'О': 'O', + 'П': 'N', + 'Р': 'P', + 'С': 'C', + 'Т': 'T', + 'У': 'y', + 'Ф': 'O', + 'Х': 'X', + 'Ц': 'U', + 'Ч': 'h', + 'Ш': 'W', + 'Щ': 'W', + 'Ъ': 'B', + 'Ы': 'X', + 'Ь': 'B', + 'Э': '3', + 'Ю': 'X', + 'Я': 'R', + 'а': 'a', + 'б': 'b', + 'в': 'a', + 'г': 'r', + 'д': 'y', + 'е': 'e', + 'ж': 'm', + 'з': 'e', + 'и': 'n', + 'й': 'n', + 'к': 'n', + 'л': 'n', + 'м': 'm', + 'н': 'n', + 'о': 'o', + 'п': 'n', + 'р': 'p', + 'с': 'c', + 'т': 'o', + 'у': 'y', + 'ф': 'b', + 'х': 'x', + 'ц': 'n', + 'ч': 'n', + 'ш': 'w', + 'щ': 'w', + 'ъ': 'a', + 'ы': 'm', + 'ь': 'a', + 'э': 'e', + 'ю': 'm', + 'я': 'r', +}; + +/** + * This function is a convenience function for looking up information in the + * metricMap table. It takes a character as a string, and a style. + * + * Note: the `width` property may be undefined if fontMetricsData.js wasn't + * built using `Make extended_metrics`. + */ +var getCharacterMetrics = function(character, style) { + var ch = character.charCodeAt(0); + if (character[0] in extraCharacterMap) { + ch = extraCharacterMap[character[0]].charCodeAt(0); + } else if (cjkRegex.test(character[0])) { + ch = 'M'.charCodeAt(0); + } + var metrics = metricMap[style][ch]; + if (metrics) { + return { + depth: metrics[0], + height: metrics[1], + italic: metrics[2], + skew: metrics[3], + width: metrics[4], + }; + } +}; + +module.exports = { + metrics: metrics, + getCharacterMetrics: getCharacterMetrics, +}; + +},{"./Style":9,"./fontMetricsData":18,"./unicodeRegexes":24}],18:[function(require,module,exports){ +module.exports = { + "AMS-Regular": { + "65": [0, 0.68889, 0, 0], + "66": [0, 0.68889, 0, 0], + "67": [0, 0.68889, 0, 0], + "68": [0, 0.68889, 0, 0], + "69": [0, 0.68889, 0, 0], + "70": [0, 0.68889, 0, 0], + "71": [0, 0.68889, 0, 0], + "72": [0, 0.68889, 0, 0], + "73": [0, 0.68889, 0, 0], + "74": [0.16667, 0.68889, 0, 0], + "75": [0, 0.68889, 0, 0], + "76": [0, 0.68889, 0, 0], + "77": [0, 0.68889, 0, 0], + "78": [0, 0.68889, 0, 0], + "79": [0.16667, 0.68889, 0, 0], + "80": [0, 0.68889, 0, 0], + "81": [0.16667, 0.68889, 0, 0], + "82": [0, 0.68889, 0, 0], + "83": [0, 0.68889, 0, 0], + "84": [0, 0.68889, 0, 0], + "85": [0, 0.68889, 0, 0], + "86": [0, 0.68889, 0, 0], + "87": [0, 0.68889, 0, 0], + "88": [0, 0.68889, 0, 0], + "89": [0, 0.68889, 0, 0], + "90": [0, 0.68889, 0, 0], + "107": [0, 0.68889, 0, 0], + "165": [0, 0.675, 0.025, 0], + "174": [0.15559, 0.69224, 0, 0], + "240": [0, 0.68889, 0, 0], + "295": [0, 0.68889, 0, 0], + "710": [0, 0.825, 0, 0], + "732": [0, 0.9, 0, 0], + "770": [0, 0.825, 0, 0], + "771": [0, 0.9, 0, 0], + "989": [0.08167, 0.58167, 0, 0], + "1008": [0, 0.43056, 0.04028, 0], + "8245": [0, 0.54986, 0, 0], + "8463": [0, 0.68889, 0, 0], + "8487": [0, 0.68889, 0, 0], + "8498": [0, 0.68889, 0, 0], + "8502": [0, 0.68889, 0, 0], + "8503": [0, 0.68889, 0, 0], + "8504": [0, 0.68889, 0, 0], + "8513": [0, 0.68889, 0, 0], + "8592": [-0.03598, 0.46402, 0, 0], + "8594": [-0.03598, 0.46402, 0, 0], + "8602": [-0.13313, 0.36687, 0, 0], + "8603": [-0.13313, 0.36687, 0, 0], + "8606": [0.01354, 0.52239, 0, 0], + "8608": [0.01354, 0.52239, 0, 0], + "8610": [0.01354, 0.52239, 0, 0], + "8611": [0.01354, 0.52239, 0, 0], + "8619": [0, 0.54986, 0, 0], + "8620": [0, 0.54986, 0, 0], + "8621": [-0.13313, 0.37788, 0, 0], + "8622": [-0.13313, 0.36687, 0, 0], + "8624": [0, 0.69224, 0, 0], + "8625": [0, 0.69224, 0, 0], + "8630": [0, 0.43056, 0, 0], + "8631": [0, 0.43056, 0, 0], + "8634": [0.08198, 0.58198, 0, 0], + "8635": [0.08198, 0.58198, 0, 0], + "8638": [0.19444, 0.69224, 0, 0], + "8639": [0.19444, 0.69224, 0, 0], + "8642": [0.19444, 0.69224, 0, 0], + "8643": [0.19444, 0.69224, 0, 0], + "8644": [0.1808, 0.675, 0, 0], + "8646": [0.1808, 0.675, 0, 0], + "8647": [0.1808, 0.675, 0, 0], + "8648": [0.19444, 0.69224, 0, 0], + "8649": [0.1808, 0.675, 0, 0], + "8650": [0.19444, 0.69224, 0, 0], + "8651": [0.01354, 0.52239, 0, 0], + "8652": [0.01354, 0.52239, 0, 0], + "8653": [-0.13313, 0.36687, 0, 0], + "8654": [-0.13313, 0.36687, 0, 0], + "8655": [-0.13313, 0.36687, 0, 0], + "8666": [0.13667, 0.63667, 0, 0], + "8667": [0.13667, 0.63667, 0, 0], + "8669": [-0.13313, 0.37788, 0, 0], + "8672": [-0.064, 0.437, 0, 0], + "8674": [-0.064, 0.437, 0, 0], + "8705": [0, 0.825, 0, 0], + "8708": [0, 0.68889, 0, 0], + "8709": [0.08167, 0.58167, 0, 0], + "8717": [0, 0.43056, 0, 0], + "8722": [-0.03598, 0.46402, 0, 0], + "8724": [0.08198, 0.69224, 0, 0], + "8726": [0.08167, 0.58167, 0, 0], + "8733": [0, 0.69224, 0, 0], + "8736": [0, 0.69224, 0, 0], + "8737": [0, 0.69224, 0, 0], + "8738": [0.03517, 0.52239, 0, 0], + "8739": [0.08167, 0.58167, 0, 0], + "8740": [0.25142, 0.74111, 0, 0], + "8741": [0.08167, 0.58167, 0, 0], + "8742": [0.25142, 0.74111, 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[1.25003, 1.75, 0, 0], + "10217": [1.25003, 1.75, 0, 0], + "57344": [-0.00499, 0.605, 0, 0], + "57345": [-0.00499, 0.605, 0, 0], + "57680": [0, 0.12, 0, 0], + "57681": [0, 0.12, 0, 0], + "57682": [0, 0.12, 0, 0], + "57683": [0, 0.12, 0, 0], + }, + "Typewriter-Regular": { + "33": [0, 0.61111, 0, 0], + "34": [0, 0.61111, 0, 0], + "35": [0, 0.61111, 0, 0], + "36": [0.08333, 0.69444, 0, 0], + "37": [0.08333, 0.69444, 0, 0], + "38": [0, 0.61111, 0, 0], + "39": [0, 0.61111, 0, 0], + "40": [0.08333, 0.69444, 0, 0], + "41": [0.08333, 0.69444, 0, 0], + "42": [0, 0.52083, 0, 0], + "43": [-0.08056, 0.53055, 0, 0], + "44": [0.13889, 0.125, 0, 0], + "45": [-0.08056, 0.53055, 0, 0], + "46": [0, 0.125, 0, 0], + "47": [0.08333, 0.69444, 0, 0], + "48": [0, 0.61111, 0, 0], + "49": [0, 0.61111, 0, 0], + "50": [0, 0.61111, 0, 0], + "51": [0, 0.61111, 0, 0], + "52": [0, 0.61111, 0, 0], + "53": [0, 0.61111, 0, 0], + "54": [0, 0.61111, 0, 0], + "55": [0, 0.61111, 0, 0], + "56": [0, 0.61111, 0, 0], + "57": [0, 0.61111, 0, 0], + "58": [0, 0.43056, 0, 0], + "59": [0.13889, 0.43056, 0, 0], + "60": [-0.05556, 0.55556, 0, 0], + "61": [-0.19549, 0.41562, 0, 0], + "62": [-0.05556, 0.55556, 0, 0], + "63": [0, 0.61111, 0, 0], + "64": [0, 0.61111, 0, 0], + "65": [0, 0.61111, 0, 0], + "66": [0, 0.61111, 0, 0], + "67": [0, 0.61111, 0, 0], + "68": [0, 0.61111, 0, 0], + "69": [0, 0.61111, 0, 0], + "70": [0, 0.61111, 0, 0], + "71": [0, 0.61111, 0, 0], + "72": [0, 0.61111, 0, 0], + "73": [0, 0.61111, 0, 0], + "74": [0, 0.61111, 0, 0], + "75": [0, 0.61111, 0, 0], + "76": [0, 0.61111, 0, 0], + "77": [0, 0.61111, 0, 0], + "78": [0, 0.61111, 0, 0], + "79": [0, 0.61111, 0, 0], + "80": [0, 0.61111, 0, 0], + "81": [0.13889, 0.61111, 0, 0], + "82": [0, 0.61111, 0, 0], + "83": [0, 0.61111, 0, 0], + "84": [0, 0.61111, 0, 0], + "85": [0, 0.61111, 0, 0], + "86": [0, 0.61111, 0, 0], + "87": [0, 0.61111, 0, 0], + "88": [0, 0.61111, 0, 0], + "89": [0, 0.61111, 0, 0], + "90": [0, 0.61111, 0, 0], + "91": [0.08333, 0.69444, 0, 0], + "92": [0.08333, 0.69444, 0, 0], + "93": [0.08333, 0.69444, 0, 0], + "94": [0, 0.61111, 0, 0], + "95": [0.09514, 0, 0, 0], + "96": [0, 0.61111, 0, 0], + "97": [0, 0.43056, 0, 0], + "98": [0, 0.61111, 0, 0], + "99": [0, 0.43056, 0, 0], + "100": [0, 0.61111, 0, 0], + "101": [0, 0.43056, 0, 0], + "102": [0, 0.61111, 0, 0], + "103": [0.22222, 0.43056, 0, 0], + "104": [0, 0.61111, 0, 0], + "105": [0, 0.61111, 0, 0], + "106": [0.22222, 0.61111, 0, 0], + "107": [0, 0.61111, 0, 0], + "108": [0, 0.61111, 0, 0], + "109": [0, 0.43056, 0, 0], + "110": [0, 0.43056, 0, 0], + "111": [0, 0.43056, 0, 0], + "112": [0.22222, 0.43056, 0, 0], + "113": [0.22222, 0.43056, 0, 0], + "114": [0, 0.43056, 0, 0], + "115": [0, 0.43056, 0, 0], + "116": [0, 0.55358, 0, 0], + "117": [0, 0.43056, 0, 0], + "118": [0, 0.43056, 0, 0], + "119": [0, 0.43056, 0, 0], + "120": [0, 0.43056, 0, 0], + "121": [0.22222, 0.43056, 0, 0], + "122": [0, 0.43056, 0, 0], + "123": [0.08333, 0.69444, 0, 0], + "124": [0.08333, 0.69444, 0, 0], + "125": [0.08333, 0.69444, 0, 0], + "126": [0, 0.61111, 0, 0], + "127": [0, 0.61111, 0, 0], + "305": [0, 0.43056, 0, 0], + "567": [0.22222, 0.43056, 0, 0], + "768": [0, 0.61111, 0, 0], + "769": [0, 0.61111, 0, 0], + "770": [0, 0.61111, 0, 0], + "771": [0, 0.61111, 0, 0], + "772": [0, 0.56555, 0, 0], + "774": [0, 0.61111, 0, 0], + "776": [0, 0.61111, 0, 0], + "778": [0, 0.61111, 0, 0], + "780": [0, 0.56597, 0, 0], + "915": [0, 0.61111, 0, 0], + "916": [0, 0.61111, 0, 0], + "920": [0, 0.61111, 0, 0], + "923": [0, 0.61111, 0, 0], + "926": [0, 0.61111, 0, 0], + "928": [0, 0.61111, 0, 0], + "931": [0, 0.61111, 0, 0], + "933": [0, 0.61111, 0, 0], + "934": [0, 0.61111, 0, 0], + "936": [0, 0.61111, 0, 0], + "937": [0, 0.61111, 0, 0], + "2018": [0, 0.61111, 0, 0], + "2019": [0, 0.61111, 0, 0], + "8242": [0, 0.61111, 0, 0], + }, +}; + +},{}],19:[function(require,module,exports){ +var utils = require("./utils"); +var ParseError = require("./ParseError"); + +/* This file contains a list of functions that we parse, identified by + * the calls to defineFunction. + * + * The first argument to defineFunction is a single name or a list of names. + * All functions named in such a list will share a single implementation. + * + * Each declared function can have associated properties, which + * include the following: + * + * - numArgs: The number of arguments the function takes. + * If this is the only property, it can be passed as a number + * instead of an element of a properties object. + * - argTypes: (optional) An array corresponding to each argument of the + * function, giving the type of argument that should be parsed. Its + * length should be equal to `numArgs + numOptionalArgs`. Valid + * types: + * - "size": A size-like thing, such as "1em" or "5ex" + * - "color": An html color, like "#abc" or "blue" + * - "original": The same type as the environment that the + * function being parsed is in (e.g. used for the + * bodies of functions like \color where the first + * argument is special and the second argument is + * parsed normally) + * Other possible types (probably shouldn't be used) + * - "text": Text-like (e.g. \text) + * - "math": Normal math + * If undefined, this will be treated as an appropriate length + * array of "original" strings + * - greediness: (optional) The greediness of the function to use ungrouped + * arguments. + * + * E.g. if you have an expression + * \sqrt \frac 1 2 + * since \frac has greediness=2 vs \sqrt's greediness=1, \frac + * will use the two arguments '1' and '2' as its two arguments, + * then that whole function will be used as the argument to + * \sqrt. On the other hand, the expressions + * \frac \frac 1 2 3 + * and + * \frac \sqrt 1 2 + * will fail because \frac and \frac have equal greediness + * and \sqrt has a lower greediness than \frac respectively. To + * make these parse, we would have to change them to: + * \frac {\frac 1 2} 3 + * and + * \frac {\sqrt 1} 2 + * + * The default value is `1` + * - allowedInText: (optional) Whether or not the function is allowed inside + * text mode (default false) + * - numOptionalArgs: (optional) The number of optional arguments the function + * should parse. If the optional arguments aren't found, + * `null` will be passed to the handler in their place. + * (default 0) + * - infix: (optional) Must be true if the function is an infix operator. + * + * The last argument is that implementation, the handler for the function(s). + * It is called to handle these functions and their arguments. + * It receives two arguments: + * - context contains information and references provided by the parser + * - args is an array of arguments obtained from TeX input + * The context contains the following properties: + * - funcName: the text (i.e. name) of the function, including \ + * - parser: the parser object + * - lexer: the lexer object + * - positions: the positions in the overall string of the function + * and the arguments. + * The latter three should only be used to produce error messages. + * + * The function should return an object with the following keys: + * - type: The type of element that this is. This is then used in + * buildHTML/buildMathML to determine which function + * should be called to build this node into a DOM node + * Any other data can be added to the object, which will be passed + * in to the function in buildHTML/buildMathML as `group.value`. + */ + +function defineFunction(names, props, handler) { + if (typeof names === "string") { + names = [names]; + } + if (typeof props === "number") { + props = { numArgs: props }; + } + // Set default values of functions + var data = { + numArgs: props.numArgs, + argTypes: props.argTypes, + greediness: (props.greediness === undefined) ? 1 : props.greediness, + allowedInText: !!props.allowedInText, + numOptionalArgs: props.numOptionalArgs || 0, + infix: !!props.infix, + handler: handler, + }; + for (var i = 0; i < names.length; ++i) { + module.exports[names[i]] = data; + } +} + +// A normal square root +defineFunction("\\sqrt", { + numArgs: 1, + numOptionalArgs: 1, +}, function(context, args) { + var index = args[0]; + var body = args[1]; + return { + type: "sqrt", + body: body, + index: index, + }; +}); + +// Some non-mathy text +defineFunction("\\text", { + numArgs: 1, + argTypes: ["text"], + greediness: 2, +}, function(context, args) { + var body = args[0]; + // Since the corresponding buildHTML/buildMathML function expects a + // list of elements, we normalize for different kinds of arguments + // TODO(emily): maybe this should be done somewhere else + var inner; + if (body.type === "ordgroup") { + inner = body.value; + } else { + inner = [body]; + } + + return { + type: "text", + body: inner, + }; +}); + +// A two-argument custom color +defineFunction("\\color", { + numArgs: 2, + allowedInText: true, + greediness: 3, + argTypes: ["color", "original"], +}, function(context, args) { + var color = args[0]; + var body = args[1]; + // Normalize the different kinds of bodies (see \text above) + var inner; + if (body.type === "ordgroup") { + inner = body.value; + } else { + inner = [body]; + } + + return { + type: "color", + color: color.value, + value: inner, + }; +}); + +// An overline +defineFunction("\\overline", { + numArgs: 1, +}, function(context, args) { + var body = args[0]; + return { + type: "overline", + body: body, + }; +}); + +// An underline +defineFunction("\\underline", { + numArgs: 1, +}, function(context, args) { + var body = args[0]; + return { + type: "underline", + body: body, + }; +}); + +// A box of the width and height +defineFunction("\\rule", { + numArgs: 2, + numOptionalArgs: 1, + argTypes: ["size", "size", "size"], +}, function(context, args) { + var shift = args[0]; + var width = args[1]; + var height = args[2]; + return { + type: "rule", + shift: shift && shift.value, + width: width.value, + height: height.value, + }; +}); + +defineFunction("\\kern", { + numArgs: 1, + argTypes: ["size"], +}, function(context, args) { + return { + type: "kern", + dimension: args[0].value, + }; +}); + +// A KaTeX logo +defineFunction("\\KaTeX", { + numArgs: 0, +}, function(context) { + return { + type: "katex", + }; +}); + +defineFunction("\\phantom", { + numArgs: 1, +}, function(context, args) { + var body = args[0]; + var inner; + if (body.type === "ordgroup") { + inner = body.value; + } else { + inner = [body]; + } + + return { + type: "phantom", + value: inner, + }; +}); + +// Extra data needed for the delimiter handler down below +var delimiterSizes = { + "\\bigl" : {type: "open", size: 1}, + "\\Bigl" : {type: "open", size: 2}, + "\\biggl": {type: "open", size: 3}, + "\\Biggl": {type: "open", size: 4}, + "\\bigr" : {type: "close", size: 1}, + "\\Bigr" : {type: "close", size: 2}, + "\\biggr": {type: "close", size: 3}, + "\\Biggr": {type: "close", size: 4}, + "\\bigm" : {type: "rel", size: 1}, + "\\Bigm" : {type: "rel", size: 2}, + "\\biggm": {type: "rel", size: 3}, + "\\Biggm": {type: "rel", size: 4}, + "\\big" : {type: "textord", size: 1}, + "\\Big" : {type: "textord", size: 2}, + "\\bigg" : {type: "textord", size: 3}, + "\\Bigg" : {type: "textord", size: 4}, +}; + +var delimiters = [ + "(", ")", "[", "\\lbrack", "]", "\\rbrack", + "\\{", "\\lbrace", "\\}", "\\rbrace", + "\\lfloor", "\\rfloor", "\\lceil", "\\rceil", + "<", ">", "\\langle", "\\rangle", "\\lt", "\\gt", + "\\lvert", "\\rvert", "\\lVert", "\\rVert", + "\\lgroup", "\\rgroup", "\\lmoustache", "\\rmoustache", + "/", "\\backslash", + "|", "\\vert", "\\|", "\\Vert", + "\\uparrow", "\\Uparrow", + "\\downarrow", "\\Downarrow", + "\\updownarrow", "\\Updownarrow", + ".", +]; + +var fontAliases = { + "\\Bbb": "\\mathbb", + "\\bold": "\\mathbf", + "\\frak": "\\mathfrak", +}; + +// Single-argument color functions +defineFunction([ + "\\blue", "\\orange", "\\pink", "\\red", + "\\green", "\\gray", "\\purple", + "\\blueA", "\\blueB", "\\blueC", "\\blueD", "\\blueE", + "\\tealA", "\\tealB", "\\tealC", "\\tealD", "\\tealE", + "\\greenA", "\\greenB", "\\greenC", "\\greenD", "\\greenE", + "\\goldA", "\\goldB", "\\goldC", "\\goldD", "\\goldE", + "\\redA", "\\redB", "\\redC", "\\redD", "\\redE", + "\\maroonA", "\\maroonB", "\\maroonC", "\\maroonD", "\\maroonE", + "\\purpleA", "\\purpleB", "\\purpleC", "\\purpleD", "\\purpleE", + "\\mintA", "\\mintB", "\\mintC", + "\\grayA", "\\grayB", "\\grayC", "\\grayD", "\\grayE", + "\\grayF", "\\grayG", "\\grayH", "\\grayI", + "\\kaBlue", "\\kaGreen", +], { + numArgs: 1, + allowedInText: true, + greediness: 3, +}, function(context, args) { + var body = args[0]; + var atoms; + if (body.type === "ordgroup") { + atoms = body.value; + } else { + atoms = [body]; + } + + return { + type: "color", + color: "katex-" + context.funcName.slice(1), + value: atoms, + }; +}); + +// There are 2 flags for operators; whether they produce limits in +// displaystyle, and whether they are symbols and should grow in +// displaystyle. These four groups cover the four possible choices. + +// No limits, not symbols +defineFunction([ + "\\arcsin", "\\arccos", "\\arctan", "\\arg", "\\cos", "\\cosh", + "\\cot", "\\coth", "\\csc", "\\deg", "\\dim", "\\exp", "\\hom", + "\\ker", "\\lg", "\\ln", "\\log", "\\sec", "\\sin", "\\sinh", + "\\tan", "\\tanh", +], { + numArgs: 0, +}, function(context) { + return { + type: "op", + limits: false, + symbol: false, + body: context.funcName, + }; +}); + +// Limits, not symbols +defineFunction([ + "\\det", "\\gcd", "\\inf", "\\lim", "\\liminf", "\\limsup", "\\max", + "\\min", "\\Pr", "\\sup", +], { + numArgs: 0, +}, function(context) { + return { + type: "op", + limits: true, + symbol: false, + body: context.funcName, + }; +}); + +// No limits, symbols +defineFunction([ + "\\int", "\\iint", "\\iiint", "\\oint", +], { + numArgs: 0, +}, function(context) { + return { + type: "op", + limits: false, + symbol: true, + body: context.funcName, + }; +}); + +// Limits, symbols +defineFunction([ + "\\coprod", "\\bigvee", "\\bigwedge", "\\biguplus", "\\bigcap", + "\\bigcup", "\\intop", "\\prod", "\\sum", "\\bigotimes", + "\\bigoplus", "\\bigodot", "\\bigsqcup", "\\smallint", +], { + numArgs: 0, +}, function(context) { + return { + type: "op", + limits: true, + symbol: true, + body: context.funcName, + }; +}); + +// Fractions +defineFunction([ + "\\dfrac", "\\frac", "\\tfrac", + "\\dbinom", "\\binom", "\\tbinom", +], { + numArgs: 2, + greediness: 2, +}, function(context, args) { + var numer = args[0]; + var denom = args[1]; + var hasBarLine; + var leftDelim = null; + var rightDelim = null; + var size = "auto"; + + switch (context.funcName) { + case "\\dfrac": + case "\\frac": + case "\\tfrac": + hasBarLine = true; + break; + case "\\dbinom": + case "\\binom": + case "\\tbinom": + hasBarLine = false; + leftDelim = "("; + rightDelim = ")"; + break; + default: + throw new Error("Unrecognized genfrac command"); + } + + switch (context.funcName) { + case "\\dfrac": + case "\\dbinom": + size = "display"; + break; + case "\\tfrac": + case "\\tbinom": + size = "text"; + break; + } + + return { + type: "genfrac", + numer: numer, + denom: denom, + hasBarLine: hasBarLine, + leftDelim: leftDelim, + rightDelim: rightDelim, + size: size, + }; +}); + +// Left and right overlap functions +defineFunction(["\\llap", "\\rlap"], { + numArgs: 1, + allowedInText: true, +}, function(context, args) { + var body = args[0]; + return { + type: context.funcName.slice(1), + body: body, + }; +}); + +// Delimiter functions +defineFunction([ + "\\bigl", "\\Bigl", "\\biggl", "\\Biggl", + "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", + "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", + "\\big", "\\Big", "\\bigg", "\\Bigg", + "\\left", "\\right", +], { + numArgs: 1, +}, function(context, args) { + var delim = args[0]; + if (!utils.contains(delimiters, delim.value)) { + throw new ParseError( + "Invalid delimiter: '" + delim.value + "' after '" + + context.funcName + "'", delim); + } + + // \left and \right are caught somewhere in Parser.js, which is + // why this data doesn't match what is in buildHTML. + if (context.funcName === "\\left" || context.funcName === "\\right") { + return { + type: "leftright", + value: delim.value, + }; + } else { + return { + type: "delimsizing", + size: delimiterSizes[context.funcName].size, + delimType: delimiterSizes[context.funcName].type, + value: delim.value, + }; + } +}); + +// Sizing functions (handled in Parser.js explicitly, hence no handler) +defineFunction([ + "\\tiny", "\\scriptsize", "\\footnotesize", "\\small", + "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge", +], 0, null); + +// Style changing functions (handled in Parser.js explicitly, hence no +// handler) +defineFunction([ + "\\displaystyle", "\\textstyle", "\\scriptstyle", + "\\scriptscriptstyle", +], 0, null); + +defineFunction([ + // styles + "\\mathrm", "\\mathit", "\\mathbf", + + // families + "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", + "\\mathtt", + + // aliases + "\\Bbb", "\\bold", "\\frak", +], { + numArgs: 1, + greediness: 2, +}, function(context, args) { + var body = args[0]; + var func = context.funcName; + if (func in fontAliases) { + func = fontAliases[func]; + } + return { + type: "font", + font: func.slice(1), + body: body, + }; +}); + +// Accents +defineFunction([ + "\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", + "\\check", "\\hat", "\\vec", "\\dot", + // We don't support expanding accents yet + // "\\widetilde", "\\widehat" +], { + numArgs: 1, +}, function(context, args) { + var base = args[0]; + return { + type: "accent", + accent: context.funcName, + base: base, + }; +}); + +// Infix generalized fractions +defineFunction(["\\over", "\\choose"], { + numArgs: 0, + infix: true, +}, function(context) { + var replaceWith; + switch (context.funcName) { + case "\\over": + replaceWith = "\\frac"; + break; + case "\\choose": + replaceWith = "\\binom"; + break; + default: + throw new Error("Unrecognized infix genfrac command"); + } + return { + type: "infix", + replaceWith: replaceWith, + token: context.token, + }; +}); + +// Row breaks for aligned data +defineFunction(["\\\\", "\\cr"], { + numArgs: 0, + numOptionalArgs: 1, + argTypes: ["size"], +}, function(context, args) { + var size = args[0]; + return { + type: "cr", + size: size, + }; +}); + +// Environment delimiters +defineFunction(["\\begin", "\\end"], { + numArgs: 1, + argTypes: ["text"], +}, function(context, args) { + var nameGroup = args[0]; + if (nameGroup.type !== "ordgroup") { + throw new ParseError("Invalid environment name", nameGroup); + } + var name = ""; + for (var i = 0; i < nameGroup.value.length; ++i) { + name += nameGroup.value[i].value; + } + return { + type: "environment", + name: name, + nameGroup: nameGroup, + }; +}); + +},{"./ParseError":6,"./utils":25}],20:[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":25}],21:[function(require,module,exports){ +/** + * The resulting parse tree nodes of the parse tree. + * + * It is possible to provide position information, so that a ParseNode can + * fulfil a role similar to a Token in error reporting. + * For details on the corresponding properties see Token constructor. + * Providing such information can lead to better error reporting. + * + * @param {string} type type of node, like e.g. "ordgroup" + * @param {?object} value type-specific representation of the node + * @param {string} mode parse mode in action for this node, + * "math" or "text" + * @param {Token=} firstToken first token of the input for this node, + * will omit position information if unset + * @param {Token=} lastToken last token of the input for this node, + * will default to firstToken if unset + */ +function ParseNode(type, value, mode, firstToken, lastToken) { + this.type = type; + this.value = value; + this.mode = mode; + if (firstToken && (!lastToken || lastToken.lexer === firstToken.lexer)) { + this.lexer = firstToken.lexer; + this.start = firstToken.start; + this.end = (lastToken || firstToken).end; + } +} + +module.exports = { + ParseNode: ParseNode, +}; + + +},{}],22:[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) { + if (!(typeof toParse === 'string' || toParse instanceof String)) { + throw new TypeError('KaTeX can only parse string typed expression'); + } + var parser = new Parser(toParse, settings); + + return parser.parse(); +}; + +module.exports = parseTree; + +},{"./Parser":7}],23:[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). + See https://github.com/Khan/KaTeX/wiki/Examining-TeX#group-types + * - replace: the character that this symbol or function should be + * replaced with (i.e. "\phi" has a replace value of "\u03d5", the phi + * character in the main font). + * + * The outermost map in the table indicates what mode the symbols should be + * accepted in (e.g. "math" or "text"). + */ + +module.exports = { + math: {}, + text: {}, +}; + +function defineSymbol(mode, font, group, replace, name) { + module.exports[mode][name] = { + font: font, + group: group, + replace: replace, + }; +} + +// Some abbreviations for commonly used strings. +// This helps minify the code, and also spotting typos using jshint. + +// modes: +var math = "math"; +var text = "text"; + +// fonts: +var main = "main"; +var ams = "ams"; + +// groups: +var accent = "accent"; +var bin = "bin"; +var close = "close"; +var inner = "inner"; +var mathord = "mathord"; +var op = "op"; +var open = "open"; +var punct = "punct"; +var rel = "rel"; +var spacing = "spacing"; +var textord = "textord"; + +// Now comes the symbol table + +// Relation Symbols +defineSymbol(math, main, rel, "\u2261", "\\equiv"); +defineSymbol(math, main, rel, "\u227a", "\\prec"); +defineSymbol(math, main, rel, "\u227b", "\\succ"); +defineSymbol(math, main, rel, "\u223c", "\\sim"); +defineSymbol(math, main, rel, "\u22a5", "\\perp"); +defineSymbol(math, main, rel, "\u2aaf", "\\preceq"); +defineSymbol(math, main, rel, "\u2ab0", "\\succeq"); +defineSymbol(math, main, rel, "\u2243", "\\simeq"); +defineSymbol(math, main, rel, "\u2223", "\\mid"); +defineSymbol(math, main, rel, "\u226a", "\\ll"); +defineSymbol(math, main, rel, "\u226b", "\\gg"); +defineSymbol(math, main, rel, "\u224d", "\\asymp"); +defineSymbol(math, main, rel, "\u2225", "\\parallel"); +defineSymbol(math, main, rel, "\u22c8", "\\bowtie"); +defineSymbol(math, main, rel, "\u2323", "\\smile"); +defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq"); +defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq"); +defineSymbol(math, main, rel, "\u2250", "\\doteq"); +defineSymbol(math, main, rel, "\u2322", "\\frown"); +defineSymbol(math, main, rel, "\u220b", "\\ni"); +defineSymbol(math, main, rel, "\u221d", "\\propto"); +defineSymbol(math, main, rel, "\u22a2", "\\vdash"); +defineSymbol(math, main, rel, "\u22a3", "\\dashv"); +defineSymbol(math, main, rel, "\u220b", "\\owns"); + +// Punctuation +defineSymbol(math, main, punct, "\u002e", "\\ldotp"); +defineSymbol(math, main, punct, "\u22c5", "\\cdotp"); + +// Misc Symbols +defineSymbol(math, main, textord, "\u0023", "\\#"); +defineSymbol(math, main, textord, "\u0026", "\\&"); +defineSymbol(math, main, textord, "\u2135", "\\aleph"); +defineSymbol(math, main, textord, "\u2200", "\\forall"); +defineSymbol(math, main, textord, "\u210f", "\\hbar"); +defineSymbol(math, main, textord, "\u2203", "\\exists"); +defineSymbol(math, main, textord, "\u2207", "\\nabla"); +defineSymbol(math, main, textord, "\u266d", "\\flat"); +defineSymbol(math, main, textord, "\u2113", "\\ell"); +defineSymbol(math, main, textord, "\u266e", "\\natural"); +defineSymbol(math, main, textord, "\u2663", "\\clubsuit"); +defineSymbol(math, main, textord, "\u2118", "\\wp"); +defineSymbol(math, main, textord, "\u266f", "\\sharp"); +defineSymbol(math, main, textord, "\u2662", "\\diamondsuit"); +defineSymbol(math, main, textord, "\u211c", "\\Re"); +defineSymbol(math, main, textord, "\u2661", "\\heartsuit"); +defineSymbol(math, main, textord, "\u2111", "\\Im"); +defineSymbol(math, main, textord, "\u2660", "\\spadesuit"); + +// Math and Text +defineSymbol(math, main, textord, "\u2020", "\\dag"); +defineSymbol(math, main, textord, "\u2021", "\\ddag"); + +// Large Delimiters +defineSymbol(math, main, close, "\u23b1", "\\rmoustache"); +defineSymbol(math, main, open, "\u23b0", "\\lmoustache"); +defineSymbol(math, main, close, "\u27ef", "\\rgroup"); +defineSymbol(math, main, open, "\u27ee", "\\lgroup"); + +// Binary Operators +defineSymbol(math, main, bin, "\u2213", "\\mp"); +defineSymbol(math, main, bin, "\u2296", "\\ominus"); +defineSymbol(math, main, bin, "\u228e", "\\uplus"); +defineSymbol(math, main, bin, "\u2293", "\\sqcap"); +defineSymbol(math, main, bin, "\u2217", "\\ast"); +defineSymbol(math, main, bin, "\u2294", "\\sqcup"); +defineSymbol(math, main, bin, "\u25ef", "\\bigcirc"); +defineSymbol(math, main, bin, "\u2219", "\\bullet"); +defineSymbol(math, main, bin, "\u2021", "\\ddagger"); +defineSymbol(math, main, bin, "\u2240", "\\wr"); +defineSymbol(math, main, bin, "\u2a3f", "\\amalg"); + +// Arrow Symbols +defineSymbol(math, main, rel, "\u27f5", "\\longleftarrow"); +defineSymbol(math, main, rel, "\u21d0", "\\Leftarrow"); +defineSymbol(math, main, rel, "\u27f8", "\\Longleftarrow"); +defineSymbol(math, main, rel, "\u27f6", "\\longrightarrow"); +defineSymbol(math, main, rel, "\u21d2", "\\Rightarrow"); +defineSymbol(math, main, rel, "\u27f9", "\\Longrightarrow"); +defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow"); +defineSymbol(math, main, rel, "\u27f7", "\\longleftrightarrow"); +defineSymbol(math, main, rel, "\u21d4", "\\Leftrightarrow"); +defineSymbol(math, main, rel, "\u27fa", "\\Longleftrightarrow"); +defineSymbol(math, main, rel, "\u21a6", "\\mapsto"); +defineSymbol(math, main, rel, "\u27fc", "\\longmapsto"); +defineSymbol(math, main, rel, "\u2197", "\\nearrow"); +defineSymbol(math, main, rel, "\u21a9", "\\hookleftarrow"); +defineSymbol(math, main, rel, "\u21aa", "\\hookrightarrow"); +defineSymbol(math, main, rel, "\u2198", "\\searrow"); +defineSymbol(math, main, rel, "\u21bc", "\\leftharpoonup"); +defineSymbol(math, main, rel, "\u21c0", "\\rightharpoonup"); +defineSymbol(math, main, rel, "\u2199", "\\swarrow"); +defineSymbol(math, main, rel, "\u21bd", "\\leftharpoondown"); +defineSymbol(math, main, rel, "\u21c1", "\\rightharpoondown"); +defineSymbol(math, main, rel, "\u2196", "\\nwarrow"); +defineSymbol(math, main, rel, "\u21cc", "\\rightleftharpoons"); + +// AMS Negated Binary Relations +defineSymbol(math, ams, rel, "\u226e", "\\nless"); +defineSymbol(math, ams, rel, "\ue010", "\\nleqslant"); +defineSymbol(math, ams, rel, "\ue011", "\\nleqq"); +defineSymbol(math, ams, rel, "\u2a87", "\\lneq"); +defineSymbol(math, ams, rel, "\u2268", "\\lneqq"); +defineSymbol(math, ams, rel, "\ue00c", "\\lvertneqq"); +defineSymbol(math, ams, rel, "\u22e6", "\\lnsim"); +defineSymbol(math, ams, rel, "\u2a89", "\\lnapprox"); +defineSymbol(math, ams, rel, "\u2280", "\\nprec"); +defineSymbol(math, ams, rel, "\u22e0", "\\npreceq"); +defineSymbol(math, ams, rel, "\u22e8", "\\precnsim"); +defineSymbol(math, ams, rel, "\u2ab9", "\\precnapprox"); +defineSymbol(math, ams, rel, "\u2241", "\\nsim"); +defineSymbol(math, ams, rel, "\ue006", "\\nshortmid"); +defineSymbol(math, ams, rel, "\u2224", "\\nmid"); +defineSymbol(math, ams, rel, "\u22ac", "\\nvdash"); +defineSymbol(math, ams, rel, "\u22ad", "\\nvDash"); +defineSymbol(math, ams, rel, "\u22ea", "\\ntriangleleft"); +defineSymbol(math, ams, rel, "\u22ec", "\\ntrianglelefteq"); +defineSymbol(math, ams, rel, "\u228a", "\\subsetneq"); +defineSymbol(math, ams, rel, "\ue01a", "\\varsubsetneq"); +defineSymbol(math, ams, rel, "\u2acb", "\\subsetneqq"); +defineSymbol(math, ams, rel, "\ue017", "\\varsubsetneqq"); +defineSymbol(math, ams, rel, "\u226f", "\\ngtr"); +defineSymbol(math, ams, rel, "\ue00f", "\\ngeqslant"); +defineSymbol(math, ams, rel, "\ue00e", "\\ngeqq"); +defineSymbol(math, ams, rel, "\u2a88", "\\gneq"); +defineSymbol(math, ams, rel, "\u2269", "\\gneqq"); +defineSymbol(math, ams, rel, "\ue00d", "\\gvertneqq"); +defineSymbol(math, ams, rel, "\u22e7", "\\gnsim"); +defineSymbol(math, ams, rel, "\u2a8a", "\\gnapprox"); +defineSymbol(math, ams, rel, "\u2281", "\\nsucc"); +defineSymbol(math, ams, rel, "\u22e1", "\\nsucceq"); +defineSymbol(math, ams, rel, "\u22e9", "\\succnsim"); +defineSymbol(math, ams, rel, "\u2aba", "\\succnapprox"); +defineSymbol(math, ams, rel, "\u2246", "\\ncong"); +defineSymbol(math, ams, rel, "\ue007", "\\nshortparallel"); +defineSymbol(math, ams, rel, "\u2226", "\\nparallel"); +defineSymbol(math, ams, rel, "\u22af", "\\nVDash"); +defineSymbol(math, ams, rel, "\u22eb", "\\ntriangleright"); +defineSymbol(math, ams, rel, "\u22ed", "\\ntrianglerighteq"); +defineSymbol(math, ams, rel, "\ue018", "\\nsupseteqq"); +defineSymbol(math, ams, rel, "\u228b", "\\supsetneq"); +defineSymbol(math, ams, rel, "\ue01b", "\\varsupsetneq"); +defineSymbol(math, ams, rel, "\u2acc", "\\supsetneqq"); +defineSymbol(math, ams, rel, "\ue019", "\\varsupsetneqq"); +defineSymbol(math, ams, rel, "\u22ae", "\\nVdash"); +defineSymbol(math, ams, rel, "\u2ab5", "\\precneqq"); +defineSymbol(math, ams, rel, "\u2ab6", "\\succneqq"); +defineSymbol(math, ams, rel, "\ue016", "\\nsubseteqq"); +defineSymbol(math, ams, bin, "\u22b4", "\\unlhd"); +defineSymbol(math, ams, bin, "\u22b5", "\\unrhd"); + +// AMS Negated Arrows +defineSymbol(math, ams, rel, "\u219a", "\\nleftarrow"); +defineSymbol(math, ams, rel, "\u219b", "\\nrightarrow"); +defineSymbol(math, ams, rel, "\u21cd", "\\nLeftarrow"); +defineSymbol(math, ams, rel, "\u21cf", "\\nRightarrow"); +defineSymbol(math, ams, rel, "\u21ae", "\\nleftrightarrow"); +defineSymbol(math, ams, rel, "\u21ce", "\\nLeftrightarrow"); + +// AMS Misc +defineSymbol(math, ams, rel, "\u25b3", "\\vartriangle"); +defineSymbol(math, ams, textord, "\u210f", "\\hslash"); +defineSymbol(math, ams, textord, "\u25bd", "\\triangledown"); +defineSymbol(math, ams, textord, "\u25ca", "\\lozenge"); +defineSymbol(math, ams, textord, "\u24c8", "\\circledS"); +defineSymbol(math, ams, textord, "\u00ae", "\\circledR"); +defineSymbol(math, ams, textord, "\u2221", "\\measuredangle"); +defineSymbol(math, ams, textord, "\u2204", "\\nexists"); +defineSymbol(math, ams, textord, "\u2127", "\\mho"); +defineSymbol(math, ams, textord, "\u2132", "\\Finv"); +defineSymbol(math, ams, textord, "\u2141", "\\Game"); +defineSymbol(math, ams, textord, "\u006b", "\\Bbbk"); +defineSymbol(math, ams, textord, "\u2035", "\\backprime"); +defineSymbol(math, ams, textord, "\u25b2", "\\blacktriangle"); +defineSymbol(math, ams, textord, "\u25bc", "\\blacktriangledown"); +defineSymbol(math, ams, textord, "\u25a0", "\\blacksquare"); +defineSymbol(math, ams, textord, "\u29eb", "\\blacklozenge"); +defineSymbol(math, ams, textord, "\u2605", "\\bigstar"); +defineSymbol(math, ams, textord, "\u2222", "\\sphericalangle"); +defineSymbol(math, ams, textord, "\u2201", "\\complement"); +defineSymbol(math, ams, textord, "\u00f0", "\\eth"); +defineSymbol(math, ams, textord, "\u2571", "\\diagup"); +defineSymbol(math, ams, textord, "\u2572", "\\diagdown"); +defineSymbol(math, ams, textord, "\u25a1", "\\square"); +defineSymbol(math, ams, textord, "\u25a1", "\\Box"); +defineSymbol(math, ams, textord, "\u25ca", "\\Diamond"); +defineSymbol(math, ams, textord, "\u00a5", "\\yen"); +defineSymbol(math, ams, textord, "\u2713", "\\checkmark"); + +// AMS Hebrew +defineSymbol(math, ams, textord, "\u2136", "\\beth"); +defineSymbol(math, ams, textord, "\u2138", "\\daleth"); +defineSymbol(math, ams, textord, "\u2137", "\\gimel"); + +// AMS Greek +defineSymbol(math, ams, textord, "\u03dd", "\\digamma"); +defineSymbol(math, ams, textord, "\u03f0", "\\varkappa"); + +// AMS Delimiters +defineSymbol(math, ams, open, "\u250c", "\\ulcorner"); +defineSymbol(math, ams, close, "\u2510", "\\urcorner"); +defineSymbol(math, ams, open, "\u2514", "\\llcorner"); +defineSymbol(math, ams, close, "\u2518", "\\lrcorner"); + +// AMS Binary Relations +defineSymbol(math, ams, rel, "\u2266", "\\leqq"); +defineSymbol(math, ams, rel, "\u2a7d", "\\leqslant"); +defineSymbol(math, ams, rel, "\u2a95", "\\eqslantless"); +defineSymbol(math, ams, rel, "\u2272", "\\lesssim"); +defineSymbol(math, ams, rel, "\u2a85", "\\lessapprox"); +defineSymbol(math, ams, rel, "\u224a", "\\approxeq"); +defineSymbol(math, ams, bin, "\u22d6", "\\lessdot"); +defineSymbol(math, ams, rel, "\u22d8", "\\lll"); +defineSymbol(math, ams, rel, "\u2276", "\\lessgtr"); +defineSymbol(math, ams, rel, "\u22da", "\\lesseqgtr"); +defineSymbol(math, ams, rel, "\u2a8b", "\\lesseqqgtr"); +defineSymbol(math, ams, rel, "\u2251", "\\doteqdot"); +defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq"); +defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq"); +defineSymbol(math, ams, rel, "\u223d", "\\backsim"); +defineSymbol(math, ams, rel, "\u22cd", "\\backsimeq"); +defineSymbol(math, ams, rel, "\u2ac5", "\\subseteqq"); +defineSymbol(math, ams, rel, "\u22d0", "\\Subset"); +defineSymbol(math, ams, rel, "\u228f", "\\sqsubset"); +defineSymbol(math, ams, rel, "\u227c", "\\preccurlyeq"); +defineSymbol(math, ams, rel, "\u22de", "\\curlyeqprec"); +defineSymbol(math, ams, rel, "\u227e", "\\precsim"); +defineSymbol(math, ams, rel, "\u2ab7", "\\precapprox"); +defineSymbol(math, ams, rel, "\u22b2", "\\vartriangleleft"); +defineSymbol(math, ams, rel, "\u22b4", "\\trianglelefteq"); +defineSymbol(math, ams, rel, "\u22a8", "\\vDash"); +defineSymbol(math, ams, rel, "\u22aa", "\\Vvdash"); +defineSymbol(math, ams, rel, "\u2323", "\\smallsmile"); +defineSymbol(math, ams, rel, "\u2322", "\\smallfrown"); +defineSymbol(math, ams, rel, "\u224f", "\\bumpeq"); +defineSymbol(math, ams, rel, "\u224e", "\\Bumpeq"); +defineSymbol(math, ams, rel, "\u2267", "\\geqq"); +defineSymbol(math, ams, rel, "\u2a7e", "\\geqslant"); +defineSymbol(math, ams, rel, "\u2a96", "\\eqslantgtr"); +defineSymbol(math, ams, rel, "\u2273", "\\gtrsim"); +defineSymbol(math, ams, rel, "\u2a86", "\\gtrapprox"); +defineSymbol(math, ams, bin, "\u22d7", "\\gtrdot"); +defineSymbol(math, ams, rel, "\u22d9", "\\ggg"); +defineSymbol(math, ams, rel, "\u2277", "\\gtrless"); +defineSymbol(math, ams, rel, "\u22db", "\\gtreqless"); +defineSymbol(math, ams, rel, "\u2a8c", "\\gtreqqless"); +defineSymbol(math, ams, rel, "\u2256", "\\eqcirc"); +defineSymbol(math, ams, rel, "\u2257", "\\circeq"); +defineSymbol(math, ams, rel, "\u225c", "\\triangleq"); +defineSymbol(math, ams, rel, "\u223c", "\\thicksim"); +defineSymbol(math, ams, rel, "\u2248", "\\thickapprox"); +defineSymbol(math, ams, rel, "\u2ac6", "\\supseteqq"); +defineSymbol(math, ams, rel, "\u22d1", "\\Supset"); +defineSymbol(math, ams, rel, "\u2290", "\\sqsupset"); +defineSymbol(math, ams, rel, "\u227d", "\\succcurlyeq"); +defineSymbol(math, ams, rel, "\u22df", "\\curlyeqsucc"); +defineSymbol(math, ams, rel, "\u227f", "\\succsim"); +defineSymbol(math, ams, rel, "\u2ab8", "\\succapprox"); +defineSymbol(math, ams, rel, "\u22b3", "\\vartriangleright"); +defineSymbol(math, ams, rel, "\u22b5", "\\trianglerighteq"); +defineSymbol(math, ams, rel, "\u22a9", "\\Vdash"); +defineSymbol(math, ams, rel, "\u2223", "\\shortmid"); +defineSymbol(math, ams, rel, "\u2225", "\\shortparallel"); +defineSymbol(math, ams, rel, "\u226c", "\\between"); +defineSymbol(math, ams, rel, "\u22d4", "\\pitchfork"); +defineSymbol(math, ams, rel, "\u221d", "\\varpropto"); +defineSymbol(math, ams, rel, "\u25c0", "\\blacktriangleleft"); +defineSymbol(math, ams, rel, "\u2234", "\\therefore"); +defineSymbol(math, ams, rel, "\u220d", "\\backepsilon"); +defineSymbol(math, ams, rel, "\u25b6", "\\blacktriangleright"); +defineSymbol(math, ams, rel, "\u2235", "\\because"); +defineSymbol(math, ams, rel, "\u22d8", "\\llless"); +defineSymbol(math, ams, rel, "\u22d9", "\\gggtr"); +defineSymbol(math, ams, bin, "\u22b2", "\\lhd"); +defineSymbol(math, ams, bin, "\u22b3", "\\rhd"); +defineSymbol(math, ams, rel, "\u2242", "\\eqsim"); +defineSymbol(math, main, rel, "\u22c8", "\\Join"); +defineSymbol(math, ams, rel, "\u2251", "\\Doteq"); + +// AMS Binary Operators +defineSymbol(math, ams, bin, "\u2214", "\\dotplus"); +defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus"); +defineSymbol(math, ams, bin, "\u22d2", "\\Cap"); +defineSymbol(math, ams, bin, "\u22d3", "\\Cup"); +defineSymbol(math, ams, bin, "\u2a5e", "\\doublebarwedge"); +defineSymbol(math, ams, bin, "\u229f", "\\boxminus"); +defineSymbol(math, ams, bin, "\u229e", "\\boxplus"); +defineSymbol(math, ams, bin, "\u22c7", "\\divideontimes"); +defineSymbol(math, ams, bin, "\u22c9", "\\ltimes"); +defineSymbol(math, ams, bin, "\u22ca", "\\rtimes"); +defineSymbol(math, ams, bin, "\u22cb", "\\leftthreetimes"); +defineSymbol(math, ams, bin, "\u22cc", "\\rightthreetimes"); +defineSymbol(math, ams, bin, "\u22cf", "\\curlywedge"); +defineSymbol(math, ams, bin, "\u22ce", "\\curlyvee"); +defineSymbol(math, ams, bin, "\u229d", "\\circleddash"); +defineSymbol(math, ams, bin, "\u229b", "\\circledast"); +defineSymbol(math, ams, bin, "\u22c5", "\\centerdot"); +defineSymbol(math, ams, bin, "\u22ba", "\\intercal"); +defineSymbol(math, ams, bin, "\u22d2", "\\doublecap"); +defineSymbol(math, ams, bin, "\u22d3", "\\doublecup"); +defineSymbol(math, ams, bin, "\u22a0", "\\boxtimes"); + +// AMS Arrows +defineSymbol(math, ams, rel, "\u21e2", "\\dashrightarrow"); +defineSymbol(math, ams, rel, "\u21e0", "\\dashleftarrow"); +defineSymbol(math, ams, rel, "\u21c7", "\\leftleftarrows"); +defineSymbol(math, ams, rel, "\u21c6", "\\leftrightarrows"); +defineSymbol(math, ams, rel, "\u21da", "\\Lleftarrow"); +defineSymbol(math, ams, rel, "\u219e", "\\twoheadleftarrow"); +defineSymbol(math, ams, rel, "\u21a2", "\\leftarrowtail"); +defineSymbol(math, ams, rel, "\u21ab", "\\looparrowleft"); +defineSymbol(math, ams, rel, "\u21cb", "\\leftrightharpoons"); +defineSymbol(math, ams, rel, "\u21b6", "\\curvearrowleft"); +defineSymbol(math, ams, rel, "\u21ba", "\\circlearrowleft"); +defineSymbol(math, ams, rel, "\u21b0", "\\Lsh"); +defineSymbol(math, ams, rel, "\u21c8", "\\upuparrows"); +defineSymbol(math, ams, rel, "\u21bf", "\\upharpoonleft"); +defineSymbol(math, ams, rel, "\u21c3", "\\downharpoonleft"); +defineSymbol(math, ams, rel, "\u22b8", "\\multimap"); +defineSymbol(math, ams, rel, "\u21ad", "\\leftrightsquigarrow"); +defineSymbol(math, ams, rel, "\u21c9", "\\rightrightarrows"); +defineSymbol(math, ams, rel, "\u21c4", "\\rightleftarrows"); +defineSymbol(math, ams, rel, "\u21a0", "\\twoheadrightarrow"); +defineSymbol(math, ams, rel, "\u21a3", "\\rightarrowtail"); +defineSymbol(math, ams, rel, "\u21ac", "\\looparrowright"); +defineSymbol(math, ams, rel, "\u21b7", "\\curvearrowright"); +defineSymbol(math, ams, rel, "\u21bb", "\\circlearrowright"); +defineSymbol(math, ams, rel, "\u21b1", "\\Rsh"); +defineSymbol(math, ams, rel, "\u21ca", "\\downdownarrows"); +defineSymbol(math, ams, rel, "\u21be", "\\upharpoonright"); +defineSymbol(math, ams, rel, "\u21c2", "\\downharpoonright"); +defineSymbol(math, ams, rel, "\u21dd", "\\rightsquigarrow"); +defineSymbol(math, ams, rel, "\u21dd", "\\leadsto"); +defineSymbol(math, ams, rel, "\u21db", "\\Rrightarrow"); +defineSymbol(math, ams, rel, "\u21be", "\\restriction"); + +defineSymbol(math, main, textord, "\u2018", "`"); +defineSymbol(math, main, textord, "$", "\\$"); +defineSymbol(math, main, textord, "%", "\\%"); +defineSymbol(math, main, textord, "_", "\\_"); +defineSymbol(math, main, textord, "\u2220", "\\angle"); +defineSymbol(math, main, textord, "\u221e", "\\infty"); +defineSymbol(math, main, textord, "\u2032", "\\prime"); +defineSymbol(math, main, textord, "\u25b3", "\\triangle"); +defineSymbol(math, main, textord, "\u0393", "\\Gamma"); +defineSymbol(math, main, textord, "\u0394", "\\Delta"); +defineSymbol(math, main, textord, "\u0398", "\\Theta"); +defineSymbol(math, main, textord, "\u039b", "\\Lambda"); +defineSymbol(math, main, textord, "\u039e", "\\Xi"); +defineSymbol(math, main, textord, "\u03a0", "\\Pi"); +defineSymbol(math, main, textord, "\u03a3", "\\Sigma"); +defineSymbol(math, main, textord, "\u03a5", "\\Upsilon"); +defineSymbol(math, main, textord, "\u03a6", "\\Phi"); +defineSymbol(math, main, textord, "\u03a8", "\\Psi"); +defineSymbol(math, main, textord, "\u03a9", "\\Omega"); +defineSymbol(math, main, textord, "\u00ac", "\\neg"); +defineSymbol(math, main, textord, "\u00ac", "\\lnot"); +defineSymbol(math, main, textord, "\u22a4", "\\top"); +defineSymbol(math, main, textord, "\u22a5", "\\bot"); +defineSymbol(math, main, textord, "\u2205", "\\emptyset"); +defineSymbol(math, ams, textord, "\u2205", "\\varnothing"); +defineSymbol(math, main, mathord, "\u03b1", "\\alpha"); +defineSymbol(math, main, mathord, "\u03b2", "\\beta"); +defineSymbol(math, main, mathord, "\u03b3", "\\gamma"); +defineSymbol(math, main, mathord, "\u03b4", "\\delta"); +defineSymbol(math, main, mathord, "\u03f5", "\\epsilon"); +defineSymbol(math, main, mathord, "\u03b6", "\\zeta"); +defineSymbol(math, main, mathord, "\u03b7", "\\eta"); +defineSymbol(math, main, mathord, "\u03b8", "\\theta"); +defineSymbol(math, main, mathord, "\u03b9", "\\iota"); +defineSymbol(math, main, mathord, "\u03ba", "\\kappa"); +defineSymbol(math, main, mathord, "\u03bb", "\\lambda"); +defineSymbol(math, main, mathord, "\u03bc", "\\mu"); +defineSymbol(math, main, mathord, "\u03bd", "\\nu"); +defineSymbol(math, main, mathord, "\u03be", "\\xi"); +defineSymbol(math, main, mathord, "o", "\\omicron"); +defineSymbol(math, main, mathord, "\u03c0", "\\pi"); +defineSymbol(math, main, mathord, "\u03c1", "\\rho"); +defineSymbol(math, main, mathord, "\u03c3", "\\sigma"); +defineSymbol(math, main, mathord, "\u03c4", "\\tau"); +defineSymbol(math, main, mathord, "\u03c5", "\\upsilon"); +defineSymbol(math, main, mathord, "\u03d5", "\\phi"); +defineSymbol(math, main, mathord, "\u03c7", "\\chi"); +defineSymbol(math, main, mathord, "\u03c8", "\\psi"); +defineSymbol(math, main, mathord, "\u03c9", "\\omega"); +defineSymbol(math, main, mathord, "\u03b5", "\\varepsilon"); +defineSymbol(math, main, mathord, "\u03d1", "\\vartheta"); +defineSymbol(math, main, mathord, "\u03d6", "\\varpi"); +defineSymbol(math, main, mathord, "\u03f1", "\\varrho"); +defineSymbol(math, main, mathord, "\u03c2", "\\varsigma"); +defineSymbol(math, main, mathord, "\u03c6", "\\varphi"); +defineSymbol(math, main, bin, "\u2217", "*"); +defineSymbol(math, main, bin, "+", "+"); +defineSymbol(math, main, bin, "\u2212", "-"); +defineSymbol(math, main, bin, "\u22c5", "\\cdot"); +defineSymbol(math, main, bin, "\u2218", "\\circ"); +defineSymbol(math, main, bin, "\u00f7", "\\div"); +defineSymbol(math, main, bin, "\u00b1", "\\pm"); +defineSymbol(math, main, bin, "\u00d7", "\\times"); +defineSymbol(math, main, bin, "\u2229", "\\cap"); +defineSymbol(math, main, bin, "\u222a", "\\cup"); +defineSymbol(math, main, bin, "\u2216", "\\setminus"); +defineSymbol(math, main, bin, "\u2227", "\\land"); +defineSymbol(math, main, bin, "\u2228", "\\lor"); +defineSymbol(math, main, bin, "\u2227", "\\wedge"); +defineSymbol(math, main, bin, "\u2228", "\\vee"); +defineSymbol(math, main, textord, "\u221a", "\\surd"); +defineSymbol(math, main, open, "(", "("); +defineSymbol(math, main, open, "[", "["); +defineSymbol(math, main, open, "\u27e8", "\\langle"); +defineSymbol(math, main, open, "\u2223", "\\lvert"); +defineSymbol(math, main, open, "\u2225", "\\lVert"); +defineSymbol(math, main, close, ")", ")"); +defineSymbol(math, main, close, "]", "]"); +defineSymbol(math, main, close, "?", "?"); +defineSymbol(math, main, close, "!", "!"); +defineSymbol(math, main, close, "\u27e9", "\\rangle"); +defineSymbol(math, main, close, "\u2223", "\\rvert"); +defineSymbol(math, main, close, "\u2225", "\\rVert"); +defineSymbol(math, main, rel, "=", "="); +defineSymbol(math, main, rel, "<", "<"); +defineSymbol(math, main, rel, ">", ">"); +defineSymbol(math, main, rel, ":", ":"); +defineSymbol(math, main, rel, "\u2248", "\\approx"); +defineSymbol(math, main, rel, "\u2245", "\\cong"); +defineSymbol(math, main, rel, "\u2265", "\\ge"); +defineSymbol(math, main, rel, "\u2265", "\\geq"); +defineSymbol(math, main, rel, "\u2190", "\\gets"); +defineSymbol(math, main, rel, ">", "\\gt"); +defineSymbol(math, main, rel, "\u2208", "\\in"); +defineSymbol(math, main, rel, "\u2209", "\\notin"); +defineSymbol(math, main, rel, "\u2282", "\\subset"); +defineSymbol(math, main, rel, "\u2283", "\\supset"); +defineSymbol(math, main, rel, "\u2286", "\\subseteq"); +defineSymbol(math, main, rel, "\u2287", "\\supseteq"); +defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq"); +defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq"); +defineSymbol(math, main, rel, "\u22a8", "\\models"); +defineSymbol(math, main, rel, "\u2190", "\\leftarrow"); +defineSymbol(math, main, rel, "\u2264", "\\le"); +defineSymbol(math, main, rel, "\u2264", "\\leq"); +defineSymbol(math, main, rel, "<", "\\lt"); +defineSymbol(math, main, rel, "\u2260", "\\ne"); +defineSymbol(math, main, rel, "\u2260", "\\neq"); +defineSymbol(math, main, rel, "\u2192", "\\rightarrow"); +defineSymbol(math, main, rel, "\u2192", "\\to"); +defineSymbol(math, ams, rel, "\u2271", "\\ngeq"); +defineSymbol(math, ams, rel, "\u2270", "\\nleq"); +defineSymbol(math, main, spacing, null, "\\!"); +defineSymbol(math, main, spacing, "\u00a0", "\\ "); +defineSymbol(math, main, spacing, "\u00a0", "~"); +defineSymbol(math, main, spacing, null, "\\,"); +defineSymbol(math, main, spacing, null, "\\:"); +defineSymbol(math, main, spacing, null, "\\;"); +defineSymbol(math, main, spacing, null, "\\enspace"); +defineSymbol(math, main, spacing, null, "\\qquad"); +defineSymbol(math, main, spacing, null, "\\quad"); +defineSymbol(math, main, spacing, "\u00a0", "\\space"); +defineSymbol(math, main, punct, ",", ","); +defineSymbol(math, main, punct, ";", ";"); +defineSymbol(math, main, punct, ":", "\\colon"); +defineSymbol(math, ams, bin, "\u22bc", "\\barwedge"); +defineSymbol(math, ams, bin, "\u22bb", "\\veebar"); +defineSymbol(math, main, bin, "\u2299", "\\odot"); +defineSymbol(math, main, bin, "\u2295", "\\oplus"); +defineSymbol(math, main, bin, "\u2297", "\\otimes"); +defineSymbol(math, main, textord, "\u2202", "\\partial"); +defineSymbol(math, main, bin, "\u2298", "\\oslash"); +defineSymbol(math, ams, bin, "\u229a", "\\circledcirc"); +defineSymbol(math, ams, bin, "\u22a1", "\\boxdot"); +defineSymbol(math, main, bin, "\u25b3", "\\bigtriangleup"); +defineSymbol(math, main, bin, "\u25bd", "\\bigtriangledown"); +defineSymbol(math, main, bin, "\u2020", "\\dagger"); +defineSymbol(math, main, bin, "\u22c4", "\\diamond"); +defineSymbol(math, main, bin, "\u22c6", "\\star"); +defineSymbol(math, main, bin, "\u25c3", "\\triangleleft"); +defineSymbol(math, main, bin, "\u25b9", "\\triangleright"); +defineSymbol(math, main, open, "{", "\\{"); +defineSymbol(math, main, close, "}", "\\}"); +defineSymbol(math, main, open, "{", "\\lbrace"); +defineSymbol(math, main, close, "}", "\\rbrace"); +defineSymbol(math, main, open, "[", "\\lbrack"); +defineSymbol(math, main, close, "]", "\\rbrack"); +defineSymbol(math, main, open, "\u230a", "\\lfloor"); +defineSymbol(math, main, close, "\u230b", "\\rfloor"); +defineSymbol(math, main, open, "\u2308", "\\lceil"); +defineSymbol(math, main, close, "\u2309", "\\rceil"); +defineSymbol(math, main, textord, "\\", "\\backslash"); +defineSymbol(math, main, textord, "\u2223", "|"); +defineSymbol(math, main, textord, "\u2223", "\\vert"); +defineSymbol(math, main, textord, "\u2225", "\\|"); +defineSymbol(math, main, textord, "\u2225", "\\Vert"); +defineSymbol(math, main, rel, "\u2191", "\\uparrow"); +defineSymbol(math, main, rel, "\u21d1", "\\Uparrow"); +defineSymbol(math, main, rel, "\u2193", "\\downarrow"); +defineSymbol(math, main, rel, "\u21d3", "\\Downarrow"); +defineSymbol(math, main, rel, "\u2195", "\\updownarrow"); +defineSymbol(math, main, rel, "\u21d5", "\\Updownarrow"); +defineSymbol(math, math, op, "\u2210", "\\coprod"); +defineSymbol(math, math, op, "\u22c1", "\\bigvee"); +defineSymbol(math, math, op, "\u22c0", "\\bigwedge"); +defineSymbol(math, math, op, "\u2a04", "\\biguplus"); +defineSymbol(math, math, op, "\u22c2", "\\bigcap"); +defineSymbol(math, math, op, "\u22c3", "\\bigcup"); +defineSymbol(math, math, op, "\u222b", "\\int"); +defineSymbol(math, math, op, "\u222b", "\\intop"); +defineSymbol(math, math, op, "\u222c", "\\iint"); +defineSymbol(math, math, op, "\u222d", "\\iiint"); +defineSymbol(math, math, op, "\u220f", "\\prod"); +defineSymbol(math, math, op, "\u2211", "\\sum"); +defineSymbol(math, math, op, "\u2a02", "\\bigotimes"); +defineSymbol(math, math, op, "\u2a01", "\\bigoplus"); +defineSymbol(math, math, op, "\u2a00", "\\bigodot"); +defineSymbol(math, math, op, "\u222e", "\\oint"); +defineSymbol(math, math, op, "\u2a06", "\\bigsqcup"); +defineSymbol(math, math, op, "\u222b", "\\smallint"); +defineSymbol(math, main, inner, "\u2026", "\\ldots"); +defineSymbol(math, main, inner, "\u22ef", "\\cdots"); +defineSymbol(math, main, inner, "\u22f1", "\\ddots"); +defineSymbol(math, main, textord, "\u22ee", "\\vdots"); +defineSymbol(math, main, accent, "\u00b4", "\\acute"); +defineSymbol(math, main, accent, "\u0060", "\\grave"); +defineSymbol(math, main, accent, "\u00a8", "\\ddot"); +defineSymbol(math, main, accent, "\u007e", "\\tilde"); +defineSymbol(math, main, accent, "\u00af", "\\bar"); +defineSymbol(math, main, accent, "\u02d8", "\\breve"); +defineSymbol(math, main, accent, "\u02c7", "\\check"); +defineSymbol(math, main, accent, "\u005e", "\\hat"); +defineSymbol(math, main, accent, "\u20d7", "\\vec"); +defineSymbol(math, main, accent, "\u02d9", "\\dot"); +defineSymbol(math, main, mathord, "\u0131", "\\imath"); +defineSymbol(math, main, mathord, "\u0237", "\\jmath"); + +defineSymbol(text, main, textord, "\u2013", "--"); +defineSymbol(text, main, textord, "\u2014", "---"); +defineSymbol(text, main, textord, "\u2018", "`"); +defineSymbol(text, main, textord, "\u2019", "'"); +defineSymbol(text, main, textord, "\u201c", "``"); +defineSymbol(text, main, textord, "\u201d", "''"); +defineSymbol(math, main, textord, "\u00b0", "\\degree"); +defineSymbol(text, main, textord, "\u00b0", "\\degree"); +defineSymbol(math, main, mathord, "\u00a3", "\\pounds"); +defineSymbol(math, ams, textord, "\u2720", "\\maltese"); +defineSymbol(text, ams, textord, "\u2720", "\\maltese"); + +defineSymbol(text, main, spacing, "\u00a0", "\\ "); +defineSymbol(text, main, spacing, "\u00a0", " "); +defineSymbol(text, main, spacing, "\u00a0", "~"); + +// There are lots of symbols which are the same, so we add them in afterwards. +var i; +var ch; + +// All of these are textords in math mode +var mathTextSymbols = "0123456789/@.\""; +for (i = 0; i < mathTextSymbols.length; i++) { + ch = mathTextSymbols.charAt(i); + defineSymbol(math, main, textord, ch, ch); +} + +// All of these are textords in text mode +var textSymbols = "0123456789!@*()-=+[]\";:?/.,"; +for (i = 0; i < textSymbols.length; i++) { + ch = textSymbols.charAt(i); + defineSymbol(text, main, textord, ch, ch); +} + +// All of these are textords in text mode, and mathords in math mode +var letters = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"; +for (i = 0; i < letters.length; i++) { + ch = letters.charAt(i); + defineSymbol(math, main, mathord, ch, ch); + defineSymbol(text, main, textord, ch, ch); +} + +// Latin-1 letters +for (i = 0x00C0; i <= 0x00D6; i++) { + ch = String.fromCharCode(i); + defineSymbol(text, main, textord, ch, ch); +} + +for (i = 0x00D8; i <= 0x00F6; i++) { + ch = String.fromCharCode(i); + defineSymbol(text, main, textord, ch, ch); +} + +for (i = 0x00F8; i <= 0x00FF; i++) { + ch = String.fromCharCode(i); + defineSymbol(text, main, textord, ch, ch); +} + +// Cyrillic +for (i = 0x0410; i <= 0x044F; i++) { + ch = String.fromCharCode(i); + defineSymbol(text, main, textord, ch, ch); +} + +},{}],24:[function(require,module,exports){ +var hangulRegex = /[\uAC00-\uD7AF]/; + +// This regex combines +// - Hiragana: [\u3040-\u309F] +// - Katakana: [\u30A0-\u30FF] +// - CJK ideograms: [\u4E00-\u9FAF] +// - Hangul syllables: [\uAC00-\uD7AF] +// Notably missing are halfwidth Katakana and Romanji glyphs. +var cjkRegex = + /[\u3040-\u309F]|[\u30A0-\u30FF]|[\u4E00-\u9FAF]|[\uAC00-\uD7AF]/; + +module.exports = { + cjkRegex: cjkRegex, + hangulRegex: hangulRegex, +}; + +},{}],25:[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; + var l = list.length; + for (; i < l; i++) { + if (list[i] === elem) { + return i; + } + } + return -1; +}; + +/** + * Return whether an element is contained in a list + */ +var contains = function(list, elem) { + return indexOf(list, elem) !== -1; +}; + +/** + * Provide a default value if a setting is undefined + */ +var deflt = function(setting, defaultIfUndefined) { + return setting === undefined ? defaultIfUndefined : setting; +}; + +// hyphenate and escape adapted from Facebook's React under Apache 2 license + +var uppercase = /([A-Z])/g; +var hyphenate = function(str) { + return str.replace(uppercase, "-$1").toLowerCase(); +}; + +var ESCAPE_LOOKUP = { + "&": "&", + ">": ">", + "<": "<", + "\"": """, + "'": "'", +}; + +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/vendor/assets/stylesheets/katex.css b/vendor/assets/stylesheets/katex.css new file mode 100644 index 00000000000..e684d697072 --- /dev/null +++ b/vendor/assets/stylesheets/katex.css @@ -0,0 +1,934 @@ +@font-face { + font-family: 'KaTeX_AMS'; + src: url('KaTeX_AMS-Regular.eot'); + src: url('KaTeX_AMS-Regular.eot#iefix') format('embedded-opentype'), url('KaTeX_AMS-Regular.woff2') format('woff2'), url('KaTeX_AMS-Regular.woff') format('woff'), url('KaTeX_AMS-Regular.ttf') format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Caligraphic'; + src: url('KaTeX_Caligraphic-Bold.eot'); + src: url('KaTeX_Caligraphic-Bold.eot#iefix') format('embedded-opentype'), url('KaTeX_Caligraphic-Bold.woff2') format('woff2'), url('KaTeX_Caligraphic-Bold.woff') format('woff'), url('KaTeX_Caligraphic-Bold.ttf') format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Caligraphic'; + src: url('KaTeX_Caligraphic-Regular.eot'); + src: url('KaTeX_Caligraphic-Regular.eot#iefix') format('embedded-opentype'), url('KaTeX_Caligraphic-Regular.woff2') format('woff2'), url('KaTeX_Caligraphic-Regular.woff') format('woff'), url('KaTeX_Caligraphic-Regular.ttf') format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Fraktur'; + src: url('KaTeX_Fraktur-Bold.eot'); + src: url('KaTeX_Fraktur-Bold.eot#iefix') format('embedded-opentype'), url('KaTeX_Fraktur-Bold.woff2') format('woff2'), url('KaTeX_Fraktur-Bold.woff') format('woff'), url('KaTeX_Fraktur-Bold.ttf') format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Fraktur'; + src: url('KaTeX_Fraktur-Regular.eot'); + src: url('KaTeX_Fraktur-Regular.eot#iefix') format('embedded-opentype'), url('KaTeX_Fraktur-Regular.woff2') format('woff2'), url('KaTeX_Fraktur-Regular.woff') format('woff'), url('KaTeX_Fraktur-Regular.ttf') format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url('KaTeX_Main-Bold.eot'); + src: url('KaTeX_Main-Bold.eot#iefix') format('embedded-opentype'), url('KaTeX_Main-Bold.woff2') format('woff2'), url('KaTeX_Main-Bold.woff') format('woff'), url('KaTeX_Main-Bold.ttf') format('truetype'); + font-weight: bold; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url('KaTeX_Main-Italic.eot'); + src: url('KaTeX_Main-Italic.eot#iefix') format('embedded-opentype'), url('KaTeX_Main-Italic.woff2') format('woff2'), url('KaTeX_Main-Italic.woff') format('woff'), url('KaTeX_Main-Italic.ttf') format('truetype'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_Main'; + src: url('KaTeX_Main-Regular.eot'); + src: url('KaTeX_Main-Regular.eot#iefix') format('embedded-opentype'), url('KaTeX_Main-Regular.woff2') format('woff2'), url('KaTeX_Main-Regular.woff') format('woff'), url('KaTeX_Main-Regular.ttf') format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Math'; + src: url('KaTeX_Math-Italic.eot'); + src: url('KaTeX_Math-Italic.eot#iefix') format('embedded-opentype'), url('KaTeX_Math-Italic.woff2') format('woff2'), url('KaTeX_Math-Italic.woff') format('woff'), url('KaTeX_Math-Italic.ttf') format('truetype'); + font-weight: normal; + font-style: italic; +} +@font-face { + font-family: 'KaTeX_SansSerif'; + src: url('KaTeX_SansSerif-Regular.eot'); + src: url('KaTeX_SansSerif-Regular.eot#iefix') format('embedded-opentype'), url('KaTeX_SansSerif-Regular.woff2') format('woff2'), url('KaTeX_SansSerif-Regular.woff') format('woff'), url('KaTeX_SansSerif-Regular.ttf') format('truetype'); + font-weight: normal; + font-style: normal; +} +@font-face { + font-family: 'KaTeX_Script'; + src: url('KaTeX_Script-Regular.eot'); + src: url('KaTeX_Script-Regular.eot#iefix') format('embedded-opentype'), url('KaTeX_Script-Regular.woff2') format('woff2'), url('KaTeX_Script-Regular.woff') format('woff'), url('KaTeX_Script-Regular.ttf') format('truetype'); 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