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katex.js
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(function webpackUniversalModuleDefinition(root, factory) {
if(typeof exports === 'object' && typeof module === 'object')
module.exports = factory();
else if(typeof define === 'function' && define.amd)
define([], factory);
else if(typeof exports === 'object')
exports["katex"] = factory();
else
root["katex"] = factory();
})((typeof self !== 'undefined' ? self : this), function() {
return /******/ (function() { // webpackBootstrap
/******/ "use strict";
/******/ // The require scope
/******/ var __webpack_require__ = {};
/******/
/************************************************************************/
/******/ /* webpack/runtime/define property getters */
/******/ !function() {
/******/ // define getter functions for harmony exports
/******/ __webpack_require__.d = function(exports, definition) {
/******/ for(var key in definition) {
/******/ if(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {
/******/ Object.defineProperty(exports, key, { enumerable: true, get: definition[key] });
/******/ }
/******/ }
/******/ };
/******/ }();
/******/
/******/ /* webpack/runtime/hasOwnProperty shorthand */
/******/ !function() {
/******/ __webpack_require__.o = function(obj, prop) { return Object.prototype.hasOwnProperty.call(obj, prop); }
/******/ }();
/******/
/************************************************************************/
var __webpack_exports__ = {};
// EXPORTS
__webpack_require__.d(__webpack_exports__, {
"default": function() { return /* binding */ katex_webpack; }
});
;// CONCATENATED MODULE: ./src/ParseError.js
/**
* This is the ParseError class, which is the main error thrown by KaTeX
* functions when something has gone wrong. This is used to distinguish internal
* errors from errors in the expression that the user provided.
*
* If possible, a caller should provide a Token or ParseNode with information
* about where in the source string the problem occurred.
*/
var ParseError = // Error position based on passed-in Token or ParseNode.
function ParseError(message, // The error message
token // An object providing position information
) {
this.position = void 0;
var error = "KaTeX parse error: " + message;
var start;
var loc = token && token.loc;
if (loc && loc.start <= loc.end) {
// If we have the input and a position, make the error a bit fancier
// Get the input
var input = loc.lexer.input; // Prepend some information
start = loc.start;
var end = loc.end;
if (start === input.length) {
error += " at end of input: ";
} else {
error += " at position " + (start + 1) + ": ";
} // Underline token in question using combining underscores
var underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error
var left;
if (start > 15) {
left = "…" + input.slice(start - 15, start);
} else {
left = input.slice(0, start);
}
var right;
if (end + 15 < input.length) {
right = input.slice(end, end + 15) + "…";
} else {
right = input.slice(end);
}
error += left + underlined + right;
} // Some hackery to make ParseError a prototype of Error
// See http://stackoverflow.com/a/8460753
var self = new Error(error);
self.name = "ParseError"; // $FlowFixMe
self.__proto__ = ParseError.prototype; // $FlowFixMe
self.position = start;
return self;
}; // $FlowFixMe More hackery
ParseError.prototype.__proto__ = Error.prototype;
/* harmony default export */ var src_ParseError = (ParseError);
;// CONCATENATED MODULE: ./src/utils.js
/**
* This file contains a list of utility functions which are useful in other
* files.
*/
/**
* Return whether an element is contained in a list
*/
var contains = function contains(list, elem) {
return list.indexOf(elem) !== -1;
};
/**
* Provide a default value if a setting is undefined
* NOTE: Couldn't use `T` as the output type due to facebook/flow#5022.
*/
var deflt = function deflt(setting, defaultIfUndefined) {
return setting === undefined ? defaultIfUndefined : setting;
}; // hyphenate and escape adapted from Facebook's React under Apache 2 license
var uppercase = /([A-Z])/g;
var hyphenate = function hyphenate(str) {
return str.replace(uppercase, "-$1").toLowerCase();
};
var ESCAPE_LOOKUP = {
"&": "&",
">": ">",
"<": "<",
"\"": """,
"'": "'"
};
var ESCAPE_REGEX = /[&><"']/g;
/**
* Escapes text to prevent scripting attacks.
*/
function utils_escape(text) {
return String(text).replace(ESCAPE_REGEX, function (match) {
return ESCAPE_LOOKUP[match];
});
}
/**
* Sometimes we want to pull out the innermost element of a group. In most
* cases, this will just be the group itself, but when ordgroups and colors have
* a single element, we want to pull that out.
*/
var getBaseElem = function getBaseElem(group) {
if (group.type === "ordgroup") {
if (group.body.length === 1) {
return getBaseElem(group.body[0]);
} else {
return group;
}
} else if (group.type === "color") {
if (group.body.length === 1) {
return getBaseElem(group.body[0]);
} else {
return group;
}
} else if (group.type === "font") {
return getBaseElem(group.body);
} else {
return group;
}
};
/**
* TeXbook algorithms often reference "character boxes", which are simply groups
* with a single character in them. To decide if something is a character box,
* we find its innermost group, and see if it is a single character.
*/
var isCharacterBox = function isCharacterBox(group) {
var baseElem = getBaseElem(group); // These are all they types of groups which hold single characters
return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom";
};
var assert = function assert(value) {
if (!value) {
throw new Error('Expected non-null, but got ' + String(value));
}
return value;
};
/**
* Return the protocol of a URL, or "_relative" if the URL does not specify a
* protocol (and thus is relative).
*/
var protocolFromUrl = function protocolFromUrl(url) {
var protocol = /^\s*([^\\/#]*?)(?::|�*58|�*3a)/i.exec(url);
return protocol != null ? protocol[1] : "_relative";
};
/* harmony default export */ var utils = ({
contains: contains,
deflt: deflt,
escape: utils_escape,
hyphenate: hyphenate,
getBaseElem: getBaseElem,
isCharacterBox: isCharacterBox,
protocolFromUrl: protocolFromUrl
});
;// CONCATENATED MODULE: ./src/Settings.js
/* eslint no-console:0 */
/**
* This is a module for storing settings passed into KaTeX. It correctly handles
* default settings.
*/
// TODO: automatically generate documentation
// TODO: check all properties on Settings exist
// TODO: check the type of a property on Settings matches
var SETTINGS_SCHEMA = {
displayMode: {
type: "boolean",
description: "Render math in display mode, which puts the math in " + "display style (so \\int and \\sum are large, for example), and " + "centers the math on the page on its own line.",
cli: "-d, --display-mode"
},
output: {
type: {
enum: ["htmlAndMathml", "html", "mathml"]
},
description: "Determines the markup language of the output.",
cli: "-F, --format <type>"
},
leqno: {
type: "boolean",
description: "Render display math in leqno style (left-justified tags)."
},
fleqn: {
type: "boolean",
description: "Render display math flush left."
},
throwOnError: {
type: "boolean",
default: true,
cli: "-t, --no-throw-on-error",
cliDescription: "Render errors (in the color given by --error-color) ins" + "tead of throwing a ParseError exception when encountering an error."
},
errorColor: {
type: "string",
default: "#cc0000",
cli: "-c, --error-color <color>",
cliDescription: "A color string given in the format 'rgb' or 'rrggbb' " + "(no #). This option determines the color of errors rendered by the " + "-t option.",
cliProcessor: function cliProcessor(color) {
return "#" + color;
}
},
macros: {
type: "object",
cli: "-m, --macro <def>",
cliDescription: "Define custom macro of the form '\\foo:expansion' (use " + "multiple -m arguments for multiple macros).",
cliDefault: [],
cliProcessor: function cliProcessor(def, defs) {
defs.push(def);
return defs;
}
},
minRuleThickness: {
type: "number",
description: "Specifies a minimum thickness, in ems, for fraction lines," + " `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, " + "`\\hdashline`, `\\underline`, `\\overline`, and the borders of " + "`\\fbox`, `\\boxed`, and `\\fcolorbox`.",
processor: function processor(t) {
return Math.max(0, t);
},
cli: "--min-rule-thickness <size>",
cliProcessor: parseFloat
},
colorIsTextColor: {
type: "boolean",
description: "Makes \\color behave like LaTeX's 2-argument \\textcolor, " + "instead of LaTeX's one-argument \\color mode change.",
cli: "-b, --color-is-text-color"
},
strict: {
type: [{
enum: ["warn", "ignore", "error"]
}, "boolean", "function"],
description: "Turn on strict / LaTeX faithfulness mode, which throws an " + "error if the input uses features that are not supported by LaTeX.",
cli: "-S, --strict",
cliDefault: false
},
trust: {
type: ["boolean", "function"],
description: "Trust the input, enabling all HTML features such as \\url.",
cli: "-T, --trust"
},
maxSize: {
type: "number",
default: Infinity,
description: "If non-zero, all user-specified sizes, e.g. in " + "\\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, " + "elements and spaces can be arbitrarily large",
processor: function processor(s) {
return Math.max(0, s);
},
cli: "-s, --max-size <n>",
cliProcessor: parseInt
},
maxExpand: {
type: "number",
default: 1000,
description: "Limit the number of macro expansions to the specified " + "number, to prevent e.g. infinite macro loops. If set to Infinity, " + "the macro expander will try to fully expand as in LaTeX.",
processor: function processor(n) {
return Math.max(0, n);
},
cli: "-e, --max-expand <n>",
cliProcessor: function cliProcessor(n) {
return n === "Infinity" ? Infinity : parseInt(n);
}
},
globalGroup: {
type: "boolean",
cli: false
}
};
function getDefaultValue(schema) {
if (schema.default) {
return schema.default;
}
var type = schema.type;
var defaultType = Array.isArray(type) ? type[0] : type;
if (typeof defaultType !== 'string') {
return defaultType.enum[0];
}
switch (defaultType) {
case 'boolean':
return false;
case 'string':
return '';
case 'number':
return 0;
case 'object':
return {};
}
}
/**
* The main Settings object
*
* The current options stored are:
* - displayMode: Whether the expression should be typeset as inline math
* (false, the default), meaning that the math starts in
* \textstyle and is placed in an inline-block); or as display
* math (true), meaning that the math starts in \displaystyle
* and is placed in a block with vertical margin.
*/
var Settings = /*#__PURE__*/function () {
function Settings(options) {
this.displayMode = void 0;
this.output = void 0;
this.leqno = void 0;
this.fleqn = void 0;
this.throwOnError = void 0;
this.errorColor = void 0;
this.macros = void 0;
this.minRuleThickness = void 0;
this.colorIsTextColor = void 0;
this.strict = void 0;
this.trust = void 0;
this.maxSize = void 0;
this.maxExpand = void 0;
this.globalGroup = void 0;
// allow null options
options = options || {};
for (var prop in SETTINGS_SCHEMA) {
if (SETTINGS_SCHEMA.hasOwnProperty(prop)) {
// $FlowFixMe
var schema = SETTINGS_SCHEMA[prop]; // TODO: validate options
// $FlowFixMe
this[prop] = options[prop] !== undefined ? schema.processor ? schema.processor(options[prop]) : options[prop] : getDefaultValue(schema);
}
}
}
/**
* Report nonstrict (non-LaTeX-compatible) input.
* Can safely not be called if `this.strict` is false in JavaScript.
*/
var _proto = Settings.prototype;
_proto.reportNonstrict = function reportNonstrict(errorCode, errorMsg, token) {
var strict = this.strict;
if (typeof strict === "function") {
// Allow return value of strict function to be boolean or string
// (or null/undefined, meaning no further processing).
strict = strict(errorCode, errorMsg, token);
}
if (!strict || strict === "ignore") {
return;
} else if (strict === true || strict === "error") {
throw new src_ParseError("LaTeX-incompatible input and strict mode is set to 'error': " + (errorMsg + " [" + errorCode + "]"), token);
} else if (strict === "warn") {
typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]"));
} else {
// won't happen in type-safe code
typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]"));
}
}
/**
* Check whether to apply strict (LaTeX-adhering) behavior for unusual
* input (like `\\`). Unlike `nonstrict`, will not throw an error;
* instead, "error" translates to a return value of `true`, while "ignore"
* translates to a return value of `false`. May still print a warning:
* "warn" prints a warning and returns `false`.
* This is for the second category of `errorCode`s listed in the README.
*/
;
_proto.useStrictBehavior = function useStrictBehavior(errorCode, errorMsg, token) {
var strict = this.strict;
if (typeof strict === "function") {
// Allow return value of strict function to be boolean or string
// (or null/undefined, meaning no further processing).
// But catch any exceptions thrown by function, treating them
// like "error".
try {
strict = strict(errorCode, errorMsg, token);
} catch (error) {
strict = "error";
}
}
if (!strict || strict === "ignore") {
return false;
} else if (strict === true || strict === "error") {
return true;
} else if (strict === "warn") {
typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + (errorMsg + " [" + errorCode + "]"));
return false;
} else {
// won't happen in type-safe code
typeof console !== "undefined" && console.warn("LaTeX-incompatible input and strict mode is set to " + ("unrecognized '" + strict + "': " + errorMsg + " [" + errorCode + "]"));
return false;
}
}
/**
* Check whether to test potentially dangerous input, and return
* `true` (trusted) or `false` (untrusted). The sole argument `context`
* should be an object with `command` field specifying the relevant LaTeX
* command (as a string starting with `\`), and any other arguments, etc.
* If `context` has a `url` field, a `protocol` field will automatically
* get added by this function (changing the specified object).
*/
;
_proto.isTrusted = function isTrusted(context) {
if (context.url && !context.protocol) {
context.protocol = utils.protocolFromUrl(context.url);
}
var trust = typeof this.trust === "function" ? this.trust(context) : this.trust;
return Boolean(trust);
};
return Settings;
}();
;// CONCATENATED MODULE: ./src/Style.js
/**
* This file contains information and classes for the various kinds of styles
* used in TeX. It provides a generic `Style` class, which holds information
* about a specific style. It then provides instances of all the different kinds
* of styles possible, and provides functions to move between them and get
* information about them.
*/
/**
* The main style class. Contains a unique id for the style, a size (which is
* the same for cramped and uncramped version of a style), and a cramped flag.
*/
var Style = /*#__PURE__*/function () {
function Style(id, size, cramped) {
this.id = void 0;
this.size = void 0;
this.cramped = void 0;
this.id = id;
this.size = size;
this.cramped = cramped;
}
/**
* Get the style of a superscript given a base in the current style.
*/
var _proto = Style.prototype;
_proto.sup = function sup() {
return styles[_sup[this.id]];
}
/**
* Get the style of a subscript given a base in the current style.
*/
;
_proto.sub = function sub() {
return styles[_sub[this.id]];
}
/**
* Get the style of a fraction numerator given the fraction in the current
* style.
*/
;
_proto.fracNum = function fracNum() {
return styles[_fracNum[this.id]];
}
/**
* Get the style of a fraction denominator given the fraction in the current
* style.
*/
;
_proto.fracDen = function fracDen() {
return styles[_fracDen[this.id]];
}
/**
* Get the cramped version of a style (in particular, cramping a cramped style
* doesn't change the style).
*/
;
_proto.cramp = function cramp() {
return styles[_cramp[this.id]];
}
/**
* Get a text or display version of this style.
*/
;
_proto.text = function text() {
return styles[_text[this.id]];
}
/**
* Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
*/
;
_proto.isTight = function isTight() {
return this.size >= 2;
};
return Style;
}(); // Export an interface for type checking, but don't expose the implementation.
// This way, no more styles can be generated.
// IDs of the different styles
var D = 0;
var Dc = 1;
var T = 2;
var Tc = 3;
var S = 4;
var Sc = 5;
var SS = 6;
var SSc = 7; // Instances of the different styles
var styles = [new Style(D, 0, false), new Style(Dc, 0, true), new Style(T, 1, false), new Style(Tc, 1, true), new Style(S, 2, false), new Style(Sc, 2, true), new Style(SS, 3, false), new Style(SSc, 3, true)]; // Lookup tables for switching from one style to another
var _sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
var _sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
var _fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
var _fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
var _cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
var _text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles.
/* harmony default export */ var src_Style = ({
DISPLAY: styles[D],
TEXT: styles[T],
SCRIPT: styles[S],
SCRIPTSCRIPT: styles[SS]
});
;// CONCATENATED MODULE: ./src/unicodeScripts.js
/*
* This file defines the Unicode scripts and script families that we
* support. To add new scripts or families, just add a new entry to the
* scriptData array below. Adding scripts to the scriptData array allows
* characters from that script to appear in \text{} environments.
*/
/**
* Each script or script family has a name and an array of blocks.
* Each block is an array of two numbers which specify the start and
* end points (inclusive) of a block of Unicode codepoints.
*/
/**
* Unicode block data for the families of scripts we support in \text{}.
* Scripts only need to appear here if they do not have font metrics.
*/
var scriptData = [{
// Latin characters beyond the Latin-1 characters we have metrics for.
// Needed for Czech, Hungarian and Turkish text, for example.
name: 'latin',
blocks: [[0x0100, 0x024f], // Latin Extended-A and Latin Extended-B
[0x0300, 0x036f] // Combining Diacritical marks
]
}, {
// The Cyrillic script used by Russian and related languages.
// A Cyrillic subset used to be supported as explicitly defined
// symbols in symbols.js
name: 'cyrillic',
blocks: [[0x0400, 0x04ff]]
}, {
// Armenian
name: 'armenian',
blocks: [[0x0530, 0x058F]]
}, {
// The Brahmic scripts of South and Southeast Asia
// Devanagari (0900–097F)
// Bengali (0980–09FF)
// Gurmukhi (0A00–0A7F)
// Gujarati (0A80–0AFF)
// Oriya (0B00–0B7F)
// Tamil (0B80–0BFF)
// Telugu (0C00–0C7F)
// Kannada (0C80–0CFF)
// Malayalam (0D00–0D7F)
// Sinhala (0D80–0DFF)
// Thai (0E00–0E7F)
// Lao (0E80–0EFF)
// Tibetan (0F00–0FFF)
// Myanmar (1000–109F)
name: 'brahmic',
blocks: [[0x0900, 0x109F]]
}, {
name: 'georgian',
blocks: [[0x10A0, 0x10ff]]
}, {
// Chinese and Japanese.
// The "k" in cjk is for Korean, but we've separated Korean out
name: "cjk",
blocks: [[0x3000, 0x30FF], // CJK symbols and punctuation, Hiragana, Katakana
[0x4E00, 0x9FAF], // CJK ideograms
[0xFF00, 0xFF60] // Fullwidth punctuation
// TODO: add halfwidth Katakana and Romanji glyphs
]
}, {
// Korean
name: 'hangul',
blocks: [[0xAC00, 0xD7AF]]
}];
/**
* Given a codepoint, return the name of the script or script family
* it is from, or null if it is not part of a known block
*/
function scriptFromCodepoint(codepoint) {
for (var i = 0; i < scriptData.length; i++) {
var script = scriptData[i];
for (var _i = 0; _i < script.blocks.length; _i++) {
var block = script.blocks[_i];
if (codepoint >= block[0] && codepoint <= block[1]) {
return script.name;
}
}
}
return null;
}
/**
* A flattened version of all the supported blocks in a single array.
* This is an optimization to make supportedCodepoint() fast.
*/
var allBlocks = [];
scriptData.forEach(function (s) {
return s.blocks.forEach(function (b) {
return allBlocks.push.apply(allBlocks, b);
});
});
/**
* Given a codepoint, return true if it falls within one of the
* scripts or script families defined above and false otherwise.
*
* Micro benchmarks shows that this is faster than
* /[\u3000-\u30FF\u4E00-\u9FAF\uFF00-\uFF60\uAC00-\uD7AF\u0900-\u109F]/.test()
* in Firefox, Chrome and Node.
*/
function supportedCodepoint(codepoint) {
for (var i = 0; i < allBlocks.length; i += 2) {
if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) {
return true;
}
}
return false;
}
;// CONCATENATED MODULE: ./src/svgGeometry.js
/**
* This file provides support to domTree.js and delimiter.js.
* It's a storehouse of path geometry for SVG images.
*/
// In all paths below, the viewBox-to-em scale is 1000:1.
var hLinePad = 80; // padding above a sqrt viniculum. Prevents image cropping.
// The viniculum of a \sqrt can be made thicker by a KaTeX rendering option.
// Think of variable extraViniculum as two detours in the SVG path.
// The detour begins at the lower left of the area labeled extraViniculum below.
// The detour proceeds one extraViniculum distance up and slightly to the right,
// displacing the radiused corner between surd and viniculum. The radius is
// traversed as usual, then the detour resumes. It goes right, to the end of
// the very long viniculumn, then down one extraViniculum distance,
// after which it resumes regular path geometry for the radical.
/* viniculum
/
/▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒←extraViniculum
/ █████████████████████←0.04em (40 unit) std viniculum thickness
/ /
/ /
/ /\
/ / surd
*/
var sqrtMain = function sqrtMain(extraViniculum, hLinePad) {
// sqrtMain path geometry is from glyph U221A in the font KaTeX Main
return "M95," + (622 + extraViniculum + hLinePad) + "\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl" + extraViniculum / 2.075 + " -" + extraViniculum + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + extraViniculum) + "H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM" + (834 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
};
var sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) {
// size1 is from glyph U221A in the font KaTeX_Size1-Regular
return "M263," + (601 + extraViniculum + hLinePad) + "c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl" + extraViniculum / 2.084 + " -" + extraViniculum + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + extraViniculum) + "H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
};
var sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) {
// size2 is from glyph U221A in the font KaTeX_Size2-Regular
return "M983 " + (10 + extraViniculum + hLinePad) + "\nl" + extraViniculum / 3.13 + " -" + extraViniculum + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + extraViniculum) + "\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "h-400000z";
};
var sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) {
// size3 is from glyph U221A in the font KaTeX_Size3-Regular
return "M424," + (2398 + extraViniculum + hLinePad) + "\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl" + extraViniculum / 4.223 + " -" + extraViniculum + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + extraViniculum) + "H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M" + (1001 + extraViniculum) + " " + hLinePad + "\nh400000v" + (40 + extraViniculum) + "h-400000z";
};
var sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) {
// size4 is from glyph U221A in the font KaTeX_Size4-Regular
return "M473," + (2713 + extraViniculum + hLinePad) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + extraViniculum / 5.298 + " -" + extraViniculum + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + extraViniculum) + "H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM" + (1001 + extraViniculum) + " " + hLinePad + "h400000v" + (40 + extraViniculum) + "H1017.7z";
};
var phasePath = function phasePath(y) {
var x = y / 2; // x coordinate at top of angle
return "M400000 " + y + " H0 L" + x + " 0 l65 45 L145 " + (y - 80) + " H400000z";
};
var sqrtTall = function sqrtTall(extraViniculum, hLinePad, viewBoxHeight) {
// sqrtTall is from glyph U23B7 in the font KaTeX_Size4-Regular
// One path edge has a variable length. It runs vertically from the viniculumn
// to a point near (14 units) the bottom of the surd. The viniculum
// is normally 40 units thick. So the length of the line in question is:
var vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum;
return "M702 " + (extraViniculum + hLinePad) + "H400000" + (40 + extraViniculum) + "\nH742v" + vertSegment + "l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 " + hLinePad + "H400000v" + (40 + extraViniculum) + "H742z";
};
var sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) {
extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox.
var path = "";
switch (size) {
case "sqrtMain":
path = sqrtMain(extraViniculum, hLinePad);
break;
case "sqrtSize1":
path = sqrtSize1(extraViniculum, hLinePad);
break;
case "sqrtSize2":
path = sqrtSize2(extraViniculum, hLinePad);
break;
case "sqrtSize3":
path = sqrtSize3(extraViniculum, hLinePad);
break;
case "sqrtSize4":
path = sqrtSize4(extraViniculum, hLinePad);
break;
case "sqrtTall":
path = sqrtTall(extraViniculum, hLinePad, viewBoxHeight);
}
return path;
};
var innerPath = function innerPath(name, height) {
// The inner part of stretchy tall delimiters
switch (name) {
case "\u239C":
return "M291 0 H417 V" + height + " H291z M291 0 H417 V" + height + " H291z";
case "\u2223":
return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z";
case "\u2225":
return "M145 0 H188 V" + height + " H145z M145 0 H188 V" + height + " H145z" + ("M367 0 H410 V" + height + " H367z M367 0 H410 V" + height + " H367z");
case "\u239F":
return "M457 0 H583 V" + height + " H457z M457 0 H583 V" + height + " H457z";
case "\u23A2":
return "M319 0 H403 V" + height + " H319z M319 0 H403 V" + height + " H319z";
case "\u23A5":
return "M263 0 H347 V" + height + " H263z M263 0 H347 V" + height + " H263z";
case "\u23AA":
return "M384 0 H504 V" + height + " H384z M384 0 H504 V" + height + " H384z";
case "\u23D0":
return "M312 0 H355 V" + height + " H312z M312 0 H355 V" + height + " H312z";
case "\u2016":
return "M257 0 H300 V" + height + " H257z M257 0 H300 V" + height + " H257z" + ("M478 0 H521 V" + height + " H478z M478 0 H521 V" + height + " H478z");
default:
return "";
}
};
var path = {
// The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
doubleleftarrow: "M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",
// doublerightarrow is from glyph U+21D2 in font KaTeX Main
doublerightarrow: "M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",
// leftarrow is from glyph U+2190 in font KaTeX Main
leftarrow: "M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",
// overbrace is from glyphs U+23A9/23A8/23A7 in font KaTeX_Size4-Regular
leftbrace: "M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",
leftbraceunder: "M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",
// overgroup is from the MnSymbol package (public domain)
leftgroup: "M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",
leftgroupunder: "M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",
// Harpoons are from glyph U+21BD in font KaTeX Main
leftharpoon: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",
leftharpoonplus: "M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",
leftharpoondown: "M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",
leftharpoondownplus: "M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",
// hook is from glyph U+21A9 in font KaTeX Main
lefthook: "M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",
leftlinesegment: "M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",
leftmapsto: "M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",
// tofrom is from glyph U+21C4 in font KaTeX AMS Regular
leftToFrom: "M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",
longequal: "M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",
midbrace: "M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",
midbraceunder: "M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",
oiintSize1: "M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",
oiintSize2: "M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",
oiiintSize1: "M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",
oiiintSize2: "M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",
rightarrow: "M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",
rightbrace: "M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",
rightbraceunder: "M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",
rightgroup: "M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",
rightgroupunder: "M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",
rightharpoon: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",
rightharpoonplus: "M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",
rightharpoondown: "M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",
rightharpoondownplus: "M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",
righthook: "M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",
rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",
rightToFrom: "M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",
// twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
twoheadleftarrow: "M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",
twoheadrightarrow: "M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",
// tilde1 is a modified version of a glyph from the MnSymbol package
tilde1: "M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",
// ditto tilde2, tilde3, & tilde4
tilde2: "M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",
tilde3: "M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",
tilde4: "M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",
// vec is from glyph U+20D7 in font KaTeX Main
vec: "M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",
// widehat1 is a modified version of a glyph from the MnSymbol package
widehat1: "M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",
// ditto widehat2, widehat3, & widehat4
widehat2: "M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
// widecheck paths are all inverted versions of widehat
widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",
widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
// The next ten paths support reaction arrows from the mhchem package.
// Arrows for \ce{<-->} are offset from xAxis by 0.22ex, per mhchem in LaTeX
// baraboveleftarrow is mostly from from glyph U+2190 in font KaTeX Main
baraboveleftarrow: "M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",
// rightarrowabovebar is mostly from glyph U+2192, KaTeX Main
rightarrowabovebar: "M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",
// The short left harpoon has 0.5em (i.e. 500 units) kern on the left end.
// Ref from mhchem.sty: \rlap{\raisebox{-.22ex}{$\kern0.5em
baraboveshortleftharpoon: "M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",
rightharpoonaboveshortbar: "M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",
shortbaraboveleftharpoon: "M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",
shortrightharpoonabovebar: "M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"
};
;// CONCATENATED MODULE: ./src/tree.js
/**
* This node represents a document fragment, which contains elements, but when
* placed into the DOM doesn't have any representation itself. It only contains
* children and doesn't have any DOM node properties.
*/
var DocumentFragment = /*#__PURE__*/function () {
// HtmlDomNode
// Never used; needed for satisfying interface.
function DocumentFragment(children) {
this.children = void 0;
this.classes = void 0;
this.height = void 0;
this.depth = void 0;
this.maxFontSize = void 0;
this.style = void 0;
this.children = children;
this.classes = [];
this.height = 0;
this.depth = 0;
this.maxFontSize = 0;
this.style = {};
}
var _proto = DocumentFragment.prototype;
_proto.hasClass = function hasClass(className) {
return utils.contains(this.classes, className);
}
/** Convert the fragment into a node. */
;
_proto.toNode = function toNode() {
var frag = document.createDocumentFragment();
for (var i = 0; i < this.children.length; i++) {
frag.appendChild(this.children[i].toNode());
}
return frag;
}
/** Convert the fragment into HTML markup. */
;
_proto.toMarkup = function toMarkup() {
var markup = ""; // Simply concatenate the markup for the children together.
for (var i = 0; i < this.children.length; i++) {
markup += this.children[i].toMarkup();
}
return markup;
}
/**
* Converts the math node into a string, similar to innerText. Applies to
* MathDomNode's only.
*/
;
_proto.toText = function toText() {
// To avoid this, we would subclass documentFragment separately for
// MathML, but polyfills for subclassing is expensive per PR 1469.
// $FlowFixMe: Only works for ChildType = MathDomNode.
var toText = function toText(child) {