docs.sheetjs.com/docz/static/katex/katex.mjs

/**
 * Lexing or parsing positional information for error reporting.
 * This object is immutable.
 */
class SourceLocation {
  // The + prefix indicates that these fields aren't writeable
  // Lexer holding the input string.
  // Start offset, zero-based inclusive.
  // End offset, zero-based exclusive.
  constructor(lexer, start, end) {
    this.lexer = void 0;
    this.start = void 0;
    this.end = void 0;
    this.lexer = lexer;
    this.start = start;
    this.end = end;
  }
  /**
   * Merges two `SourceLocation`s from location providers, given they are
   * provided in order of appearance.
   * - Returns the first one's location if only the first is provided.
   * - Returns a merged range of the first and the last if both are provided
   *   and their lexers match.
   * - Otherwise, returns null.
   */


  static range(first, second) {
    if (!second) {
      return first && first.loc;
    } else if (!first || !first.loc || !second.loc || first.loc.lexer !== second.loc.lexer) {
      return null;
    } else {
      return new SourceLocation(first.loc.lexer, first.loc.start, second.loc.end);
    }
  }

}

/**
 * Interface required to break circular dependency between Token, Lexer, and
 * ParseError.
 */

/**
 * 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 is optional, so it is OK to construct synthetic
 * tokens if appropriate. Not providing available position information may
 * lead to degraded error reporting, though.
 */
class Token {
  // don't expand the token
  // used in \noexpand
  constructor(text, // the text of this token
  loc) {
    this.text = void 0;
    this.loc = void 0;
    this.noexpand = void 0;
    this.treatAsRelax = void 0;
    this.text = text;
    this.loc = loc;
  }
  /**
   * Given a pair of tokens (this and endToken), compute a `Token` encompassing
   * the whole input range enclosed by these two.
   */


  range(endToken, // last token of the range, inclusive
  text) // the text of the newly constructed token
  {
    return new Token(text, SourceLocation.range(this, endToken));
  }

}

/**
 * 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.
 */
class ParseError {
  // Error position based on passed-in Token or ParseNode.
  constructor(message, // The error message
  token) // An object providing position information
  {
    this.position = void 0;
    let error = "KaTeX parse error: " + message;
    let start;
    const 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
      const input = loc.lexer.input; // Prepend some information

      start = loc.start;
      const 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


      const underlined = input.slice(start, end).replace(/[^]/g, "$&\u0332"); // Extract some context from the input and add it to the error

      let left;

      if (start > 15) {
        left = "…" + input.slice(start - 15, start);
      } else {
        left = input.slice(0, start);
      }

      let 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


    const 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;

/**
 * This file contains a list of utility functions which are useful in other
 * files.
 */

/**
 * Return whether an element is contained in a list
 */
const 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.
 */


const deflt = function deflt(setting, defaultIfUndefined) {
  return setting === undefined ? defaultIfUndefined : setting;
}; // hyphenate and escape adapted from Facebook's React under Apache 2 license


const uppercase = /([A-Z])/g;

const hyphenate = function hyphenate(str) {
  return str.replace(uppercase, "-$1").toLowerCase();
};

const ESCAPE_LOOKUP = {
  "&": "&amp;",
  ">": "&gt;",
  "<": "&lt;",
  "\"": "&quot;",
  "'": "&#x27;"
};
const ESCAPE_REGEX = /[&><"']/g;
/**
 * Escapes text to prevent scripting attacks.
 */

function escape(text) {
  return String(text).replace(ESCAPE_REGEX, match => 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.
 */


const 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.
 */


const isCharacterBox = function isCharacterBox(group) {
  const baseElem = getBaseElem(group); // These are all they types of groups which hold single characters

  return baseElem.type === "mathord" || baseElem.type === "textord" || baseElem.type === "atom";
};

const 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).
 */

const protocolFromUrl = function protocolFromUrl(url) {
  const protocol = /^\s*([^\\/#]*?)(?::|&#0*58|&#x0*3a)/i.exec(url);
  return protocol != null ? protocol[1] : "_relative";
};
var utils = {
  contains,
  deflt,
  escape,
  hyphenate,
  getBaseElem,
  isCharacterBox,
  protocolFromUrl
};

/* eslint no-console:0 */

/**
 * 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.
 */
class Settings {
  constructor(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 || {};
    this.displayMode = utils.deflt(options.displayMode, false);
    this.output = utils.deflt(options.output, "htmlAndMathml");
    this.leqno = utils.deflt(options.leqno, false);
    this.fleqn = utils.deflt(options.fleqn, false);
    this.throwOnError = utils.deflt(options.throwOnError, true);
    this.errorColor = utils.deflt(options.errorColor, "#cc0000");
    this.macros = options.macros || {};
    this.minRuleThickness = Math.max(0, utils.deflt(options.minRuleThickness, 0));
    this.colorIsTextColor = utils.deflt(options.colorIsTextColor, false);
    this.strict = utils.deflt(options.strict, "warn");
    this.trust = utils.deflt(options.trust, false);
    this.maxSize = Math.max(0, utils.deflt(options.maxSize, Infinity));
    this.maxExpand = Math.max(0, utils.deflt(options.maxExpand, 1000));
    this.globalGroup = utils.deflt(options.globalGroup, false);
  }
  /**
   * Report nonstrict (non-LaTeX-compatible) input.
   * Can safely not be called if `this.strict` is false in JavaScript.
   */


  reportNonstrict(errorCode, errorMsg, token) {
    let 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 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.
   */


  useStrictBehavior(errorCode, errorMsg, token) {
    let 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).
   */


  isTrusted(context) {
    if (context.url && !context.protocol) {
      context.protocol = utils.protocolFromUrl(context.url);
    }

    const trust = typeof this.trust === "function" ? this.trust(context) : this.trust;
    return Boolean(trust);
  }

}

/**
 * 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.
 */
class Style {
  constructor(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.
   */


  sup() {
    return styles[sup[this.id]];
  }
  /**
   * Get the style of a subscript given a base in the current style.
   */


  sub() {
    return styles[sub[this.id]];
  }
  /**
   * Get the style of a fraction numerator given the fraction in the current
   * style.
   */


  fracNum() {
    return styles[fracNum[this.id]];
  }
  /**
   * Get the style of a fraction denominator given the fraction in the current
   * style.
   */


  fracDen() {
    return styles[fracDen[this.id]];
  }
  /**
   * Get the cramped version of a style (in particular, cramping a cramped style
   * doesn't change the style).
   */


  cramp() {
    return styles[cramp[this.id]];
  }
  /**
   * Get a text or display version of this style.
   */


  text() {
    return styles[text[this.id]];
  }
  /**
   * Return true if this style is tightly spaced (scriptstyle/scriptscriptstyle)
   */


  isTight() {
    return this.size >= 2;
  }

} // 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
const D = 0;
const Dc = 1;
const T = 2;
const Tc = 3;
const S = 4;
const Sc = 5;
const SS = 6;
const SSc = 7; // Instances of the different styles

const 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

const sup = [S, Sc, S, Sc, SS, SSc, SS, SSc];
const sub = [Sc, Sc, Sc, Sc, SSc, SSc, SSc, SSc];
const fracNum = [T, Tc, S, Sc, SS, SSc, SS, SSc];
const fracDen = [Tc, Tc, Sc, Sc, SSc, SSc, SSc, SSc];
const cramp = [Dc, Dc, Tc, Tc, Sc, Sc, SSc, SSc];
const text = [D, Dc, T, Tc, T, Tc, T, Tc]; // We only export some of the styles.

var Style$1 = {
  DISPLAY: styles[D],
  TEXT: styles[T],
  SCRIPT: styles[S],
  SCRIPTSCRIPT: styles[SS]
};

/*
 * 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.
 */
const 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]]
}, {
  // 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]]
}, {
  // 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]]
}, {
  // 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 (let i = 0; i < scriptData.length; i++) {
    const script = scriptData[i];

    for (let i = 0; i < script.blocks.length; i++) {
      const 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.
 */

const allBlocks = [];
scriptData.forEach(s => s.blocks.forEach(b => allBlocks.push(...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 (let i = 0; i < allBlocks.length; i += 2) {
    if (codepoint >= allBlocks[i] && codepoint <= allBlocks[i + 1]) {
      return true;
    }
  }

  return false;
}

/**
 * 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.
const 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
*/

const sqrtMain = function sqrtMain(extraViniculum, hLinePad) {
  // sqrtMain path geometry is from glyph U221A in the font KaTeX Main
  return `M95,${622 + extraViniculum + hLinePad}
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l${extraViniculum / 2.075} -${extraViniculum}
c5.3,-9.3,12,-14,20,-14
H400000v${40 + extraViniculum}H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M${834 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
};

const sqrtSize1 = function sqrtSize1(extraViniculum, hLinePad) {
  // size1 is from glyph U221A in the font KaTeX_Size1-Regular
  return `M263,${601 + extraViniculum + hLinePad}c0.7,0,18,39.7,52,119
c34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120
c340,-704.7,510.7,-1060.3,512,-1067
l${extraViniculum / 2.084} -${extraViniculum}
c4.7,-7.3,11,-11,19,-11
H40000v${40 + extraViniculum}H1012.3
s-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232
c-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1
s-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26
c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z
M${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
};

const sqrtSize2 = function sqrtSize2(extraViniculum, hLinePad) {
  // size2 is from glyph U221A in the font KaTeX_Size2-Regular
  return `M983 ${10 + extraViniculum + hLinePad}
l${extraViniculum / 3.13} -${extraViniculum}
c4,-6.7,10,-10,18,-10 H400000v${40 + extraViniculum}
H1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7
s-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744
c-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30
c26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722
c56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5
c53.7,-170.3,84.5,-266.8,92.5,-289.5z
M${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}h-400000z`;
};

const sqrtSize3 = function sqrtSize3(extraViniculum, hLinePad) {
  // size3 is from glyph U221A in the font KaTeX_Size3-Regular
  return `M424,${2398 + extraViniculum + hLinePad}
c-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514
c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20
s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121
s209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081
l${extraViniculum / 4.223} -${extraViniculum}c4,-6.7,10,-10,18,-10 H400000
v${40 + extraViniculum}H1014.6
s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185
c-2,6,-10,9,-24,9
c-8,0,-12,-0.7,-12,-2z M${1001 + extraViniculum} ${hLinePad}
h400000v${40 + extraViniculum}h-400000z`;
};

const sqrtSize4 = function sqrtSize4(extraViniculum, hLinePad) {
  // size4 is from glyph U221A in the font KaTeX_Size4-Regular
  return `M473,${2713 + extraViniculum + hLinePad}
c339.3,-1799.3,509.3,-2700,510,-2702 l${extraViniculum / 5.298} -${extraViniculum}
c3.3,-7.3,9.3,-11,18,-11 H400000v${40 + extraViniculum}H1017.7
s-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9
c-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200
c0,-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
s76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,
606zM${1001 + extraViniculum} ${hLinePad}h400000v${40 + extraViniculum}H1017.7z`;
};

const 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:
  const vertSegment = viewBoxHeight - 54 - hLinePad - extraViniculum;
  return `M702 ${extraViniculum + hLinePad}H400000${40 + extraViniculum}
H742v${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
h-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170
c-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667
219 661 l218 661zM702 ${hLinePad}H400000v${40 + extraViniculum}H742z`;
};

const sqrtPath = function sqrtPath(size, extraViniculum, viewBoxHeight) {
  extraViniculum = 1000 * extraViniculum; // Convert from document ems to viewBox.

  let 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;
};
const path = {
  // Two paths that cover gaps in built-up parentheses.
  leftParenInner: `M291 0 H417 V300 H291 z`,
  rightParenInner: `M457 0 H583 V300 H457 z`,
  // The doubleleftarrow geometry is from glyph U+21D0 in the font KaTeX Main
  doubleleftarrow: `M262 157
l10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3
 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
 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
c2 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
 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
-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7
-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z
m8 0v40h399730v-40zm0 194v40h399730v-40z`,
  // doublerightarrow is from glyph U+21D2 in font KaTeX Main
  doublerightarrow: `M399738 392l
-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
 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
-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
-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
-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782
c-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
-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
 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
-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
c-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
 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
 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
 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
-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
 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
 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
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z`,
  // overgroup is from the MnSymbol package (public domain)
  leftgroup: `M400000 80
H435C64 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
 435 0h399565z`,
  leftgroupunder: `M400000 262
H435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219
 435 219h399565z`,
  // Harpoons are from glyph U+21BD in font KaTeX Main
  leftharpoon: `M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3
-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
-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
-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
 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
-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
-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z
m0 0v40h400000v-40z`,
  leftharpoondown: `M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333
 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5
 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
-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
 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
-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0
v40h399900v-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
-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
-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
 71.5 23h399859zM103 281v-40h399897v40z`,
  leftlinesegment: `M40 281 V428 H0 V94 H40 V241 H400000 v40z
M40 281 V428 H0 V94 H40 V241 H400000 v40z`,
  leftmapsto: `M40 281 V448H0V74H40V241H400000v40z
M40 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
-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8
c28.7-32 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
 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z`,
  longequal: `M0 50 h400000 v40H0z m0 194h40000v40H0z
M0 50 h400000 v40H0z m0 194h40000v40H0z`,
  midbrace: `M200428 334
c-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
-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
 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
 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z`,
  midbraceunder: `M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 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
-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
-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z
m368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8
60.9 214.8 367.3 214.8 307.2 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
-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z
m502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2
c0 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
-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z
m525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0
85.8 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
-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z
m770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1
c0 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
-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
 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
 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
-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
-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
 151.7 139 205zm0 0v40h399900v-40z`,
  rightbrace: `M400000 542l
-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
s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
c124.7 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
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-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
 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
 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
-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
-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
 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
-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
 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
m0 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
 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
-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
-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
 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
 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
-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z
m0-194v40h400000v-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
 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
-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
 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
M399960 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
 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32
-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
-167z M100 147v40h399900v-40zM0 341v40h399900v-40z`,
  // twoheadleftarrow is from glyph U+219E in font KaTeX AMS Regular
  twoheadleftarrow: `M0 167c68 40
 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
-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3
-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19
-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101
 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
c-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
 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
 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333
-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70
 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
-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
 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
 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128
-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
-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
 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114
c1 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
 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
-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0
 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697
 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696
 -338 0-409-156.573-744-156.573z`,
  tilde4: `M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345
-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409
 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9
 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409
 -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
3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
-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
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-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
c-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
-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
-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
-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,
-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,
-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,
-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,
-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
c4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5
c-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
s-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
121.5 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
s2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11
c0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z
M100 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
-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
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 39
-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5
-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
-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
151.7 139 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
c1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17
c2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21
c-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40
c-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z
M0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z`,
  rightharpoonaboveshortbar: `M0,241 l0,40c399126,0,399993,0,399993,0
c4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,
-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
c-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
M0 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
c1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,
1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,
-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z
M93 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
c4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,
-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
c-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
M500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z`
};

/**
 * 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.
 */
class DocumentFragment {
  // HtmlDomNode
  // Never used; needed for satisfying interface.
  constructor(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 = {};
  }

  hasClass(className) {
    return utils.contains(this.classes, className);
  }
  /** Convert the fragment into a node. */


  toNode() {
    const frag = document.createDocumentFragment();

    for (let i = 0; i < this.children.length; i++) {
      frag.appendChild(this.children[i].toNode());
    }

    return frag;
  }
  /** Convert the fragment into HTML markup. */


  toMarkup() {
    let markup = ""; // Simply concatenate the markup for the children together.

    for (let 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.
   */


  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.
    const toText = child => child.toText();

    return this.children.map(toText).join("");
  }

}

/**
 * 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.
 *
 * TODO: refactor `span` and `anchor` into common superclass when
 * target environments support class inheritance
 */

/**
 * Create an HTML className based on a list of classes. In addition to joining
 * with spaces, we also remove empty classes.
 */
const createClass = function createClass(classes) {
  return classes.filter(cls => cls).join(" ");
};

const initNode = function initNode(classes, options, style) {
  this.classes = classes || [];
  this.attributes = {};
  this.height = 0;
  this.depth = 0;
  this.maxFontSize = 0;
  this.style = style || {};

  if (options) {
    if (options.style.isTight()) {
      this.classes.push("mtight");
    }

    const color = options.getColor();

    if (color) {
      this.style.color = color;
    }
  }
};
/**
 * Convert into an HTML node
 */


const toNode = function toNode(tagName) {
  const node = document.createElement(tagName); // Apply the class

  node.className = createClass(this.classes); // Apply inline styles

  for (const style in this.style) {
    if (this.style.hasOwnProperty(style)) {
      // $FlowFixMe Flow doesn't seem to understand span.style's type.
      node.style[style] = this.style[style];
    }
  } // Apply attributes


  for (const attr in this.attributes) {
    if (this.attributes.hasOwnProperty(attr)) {
      node.setAttribute(attr, this.attributes[attr]);
    }
  } // Append the children, also as HTML nodes


  for (let i = 0; i < this.children.length; i++) {
    node.appendChild(this.children[i].toNode());
  }

  return node;
};
/**
 * Convert into an HTML markup string
 */


const toMarkup = function toMarkup(tagName) {
  let markup = `<${tagName}`; // Add the class

  if (this.classes.length) {
    markup += ` class="${utils.escape(createClass(this.classes))}"`;
  }

  let styles = ""; // Add the styles, after hyphenation

  for (const 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 (const attr in this.attributes) {
    if (this.attributes.hasOwnProperty(attr)) {
      markup += ` ${attr}="${utils.escape(this.attributes[attr])}"`;
    }
  }

  markup += ">"; // Add the markup of the children, also as markup

  for (let i = 0; i < this.children.length; i++) {
    markup += this.children[i].toMarkup();
  }

  markup += `</${tagName}>`;
  return markup;
}; // Making the type below exact with all optional fields doesn't work due to
// - https://github.com/facebook/flow/issues/4582
// - https://github.com/facebook/flow/issues/5688
// However, since *all* fields are optional, $Shape<> works as suggested in 5688
// above.
// This type does not include all CSS properties. Additional properties should
// be added as needed.


/**
 * 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.
 *
 * Represents two types with different uses: SvgSpan to wrap an SVG and DomSpan
 * otherwise. This typesafety is important when HTML builders access a span's
 * children.
 */
class Span {
  constructor(classes, children, options, style) {
    this.children = void 0;
    this.attributes = void 0;
    this.classes = void 0;
    this.height = void 0;
    this.depth = void 0;
    this.width = void 0;
    this.maxFontSize = void 0;
    this.style = void 0;
    initNode.call(this, classes, options, style);
    this.children = children || [];
  }
  /**
   * 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.
   */


  setAttribute(attribute, value) {
    this.attributes[attribute] = value;
  }

  hasClass(className) {
    return utils.contains(this.classes, className);
  }

  toNode() {
    return toNode.call(this, "span");
  }

  toMarkup() {
    return toMarkup.call(this, "span");
  }

}
/**
 * This node represents an anchor (<a>) element with a hyperlink.  See `span`
 * for further details.
 */

class Anchor {
  constructor(href, classes, children, options) {
    this.children = void 0;
    this.attributes = void 0;
    this.classes = void 0;
    this.height = void 0;
    this.depth = void 0;
    this.maxFontSize = void 0;
    this.style = void 0;
    initNode.call(this, classes, options);
    this.children = children || [];
    this.setAttribute('href', href);
  }

  setAttribute(attribute, value) {
    this.attributes[attribute] = value;
  }

  hasClass(className) {
    return utils.contains(this.classes, className);
  }

  toNode() {
    return toNode.call(this, "a");
  }

  toMarkup() {
    return toMarkup.call(this, "a");
  }

}
/**
 * This node represents an image embed (<img>) element.
 */

class Img {
  constructor(src, alt, style) {
    this.src = void 0;
    this.alt = void 0;
    this.classes = void 0;
    this.height = void 0;
    this.depth = void 0;
    this.maxFontSize = void 0;
    this.style = void 0;
    this.alt = alt;
    this.src = src;
    this.classes = ["mord"];
    this.style = style;
  }

  hasClass(className) {
    return utils.contains(this.classes, className);
  }

  toNode() {
    const node = document.createElement("img");
    node.src = this.src;
    node.alt = this.alt;
    node.className = "mord"; // Apply inline styles

    for (const style in this.style) {
      if (this.style.hasOwnProperty(style)) {
        // $FlowFixMe
        node.style[style] = this.style[style];
      }
    }

    return node;
  }

  toMarkup() {
    let markup = `<img  src='${this.src} 'alt='${this.alt}' `; // Add the styles, after hyphenation

    let styles = "";

    for (const style in this.style) {
      if (this.style.hasOwnProperty(style)) {
        styles += `${utils.hyphenate(style)}:${this.style[style]};`;
      }
    }

    if (styles) {
      markup += ` style="${utils.escape(styles)}"`;
    }

    markup += "'/>";
    return markup;
  }

}
const 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.
 */

class SymbolNode {
  constructor(text, height, depth, italic, skew, width, classes, style) {
    this.text = void 0;
    this.height = void 0;
    this.depth = void 0;
    this.italic = void 0;
    this.skew = void 0;
    this.width = void 0;
    this.maxFontSize = void 0;
    this.classes = void 0;
    this.style = void 0;
    this.text = text;
    this.height = height || 0;
    this.depth = depth || 0;
    this.italic = italic || 0;
    this.skew = skew || 0;
    this.width = width || 0;
    this.classes = classes || [];
    this.style = style || {};
    this.maxFontSize = 0; // Mark text from non-Latin scripts 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.
    // We use CSS class names like cjk_fallback, hangul_fallback and
    // brahmic_fallback. See ./unicodeScripts.js for the set of possible
    // script names

    const script = scriptFromCodepoint(this.text.charCodeAt(0));

    if (script) {
      this.classes.push(script + "_fallback");
    }

    if (/[îïíì]/.test(this.text)) {
      // add ī when we add Extended Latin
      this.text = iCombinations[this.text];
    }
  }

  hasClass(className) {
    return utils.contains(this.classes, className);
  }
  /**
   * Creates a text node or span from a symbol node. Note that a span is only
   * created if it is needed.
   */


  toNode() {
    const node = document.createTextNode(this.text);
    let 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 (const style in this.style) {
      if (this.style.hasOwnProperty(style)) {
        span = span || document.createElement("span"); // $FlowFixMe Flow doesn't seem to understand span.style's type.

        span.style[style] = this.style[style];
      }
    }

    if (span) {
      span.appendChild(node);
      return span;
    } else {
      return node;
    }
  }
  /**
   * Creates markup for a symbol node.
   */


  toMarkup() {
    // TODO(alpert): More duplication than I'd like from
    // span.prototype.toMarkup and symbolNode.prototype.toNode...
    let needsSpan = false;
    let markup = "<span";

    if (this.classes.length) {
      needsSpan = true;
      markup += " class=\"";
      markup += utils.escape(createClass(this.classes));
      markup += "\"";
    }

    let styles = "";

    if (this.italic > 0) {
      styles += "margin-right:" + this.italic + "em;";
    }

    for (const 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) + "\"";
    }

    const escaped = utils.escape(this.text);

    if (needsSpan) {
      markup += ">";
      markup += escaped;
      markup += "</span>";
      return markup;
    } else {
      return escaped;
    }
  }

}
/**
 * SVG nodes are used to render stretchy wide elements.
 */

class SvgNode {
  constructor(children, attributes) {
    this.children = void 0;
    this.attributes = void 0;
    this.children = children || [];
    this.attributes = attributes || {};
  }

  toNode() {
    const svgNS = "http://www.w3.org/2000/svg";
    const node = document.createElementNS(svgNS, "svg"); // Apply attributes

    for (const attr in this.attributes) {
      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
        node.setAttribute(attr, this.attributes[attr]);
      }
    }

    for (let i = 0; i < this.children.length; i++) {
      node.appendChild(this.children[i].toNode());
    }

    return node;
  }

  toMarkup() {
    let markup = "<svg"; // Apply attributes

    for (const attr in this.attributes) {
      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
        markup += ` ${attr}='${this.attributes[attr]}'`;
      }
    }

    markup += ">";

    for (let i = 0; i < this.children.length; i++) {
      markup += this.children[i].toMarkup();
    }

    markup += "</svg>";
    return markup;
  }

}
class PathNode {
  constructor(pathName, alternate) {
    this.pathName = void 0;
    this.alternate = void 0;
    this.pathName = pathName;
    this.alternate = alternate; // Used only for \sqrt
  }

  toNode() {
    const svgNS = "http://www.w3.org/2000/svg";
    const node = document.createElementNS(svgNS, "path");

    if (this.alternate) {
      node.setAttribute("d", this.alternate);
    } else {
      node.setAttribute("d", path[this.pathName]);
    }

    return node;
  }

  toMarkup() {
    if (this.alternate) {
      return `<path d='${this.alternate}'/>`;
    } else {
      return `<path d='${path[this.pathName]}'/>`;
    }
  }

}
class LineNode {
  constructor(attributes) {
    this.attributes = void 0;
    this.attributes = attributes || {};
  }

  toNode() {
    const svgNS = "http://www.w3.org/2000/svg";
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    "35": [0, 0.61111, 0, 0, 0.525],
    "36": [0.08333, 0.69444, 0, 0, 0.525],
    "37": [0.08333, 0.69444, 0, 0, 0.525],
    "38": [0, 0.61111, 0, 0, 0.525],
    "39": [0, 0.61111, 0, 0, 0.525],
    "40": [0.08333, 0.69444, 0, 0, 0.525],
    "41": [0.08333, 0.69444, 0, 0, 0.525],
    "42": [0, 0.52083, 0, 0, 0.525],
    "43": [-0.08056, 0.53055, 0, 0, 0.525],
    "44": [0.13889, 0.125, 0, 0, 0.525],
    "45": [-0.08056, 0.53055, 0, 0, 0.525],
    "46": [0, 0.125, 0, 0, 0.525],
    "47": [0.08333, 0.69444, 0, 0, 0.525],
    "48": [0, 0.61111, 0, 0, 0.525],
    "49": [0, 0.61111, 0, 0, 0.525],
    "50": [0, 0.61111, 0, 0, 0.525],
    "51": [0, 0.61111, 0, 0, 0.525],
    "52": [0, 0.61111, 0, 0, 0.525],
    "53": [0, 0.61111, 0, 0, 0.525],
    "54": [0, 0.61111, 0, 0, 0.525],
    "55": [0, 0.61111, 0, 0, 0.525],
    "56": [0, 0.61111, 0, 0, 0.525],
    "57": [0, 0.61111, 0, 0, 0.525],
    "58": [0, 0.43056, 0, 0, 0.525],
    "59": [0.13889, 0.43056, 0, 0, 0.525],
    "60": [-0.05556, 0.55556, 0, 0, 0.525],
    "61": [-0.19549, 0.41562, 0, 0, 0.525],
    "62": [-0.05556, 0.55556, 0, 0, 0.525],
    "63": [0, 0.61111, 0, 0, 0.525],
    "64": [0, 0.61111, 0, 0, 0.525],
    "65": [0, 0.61111, 0, 0, 0.525],
    "66": [0, 0.61111, 0, 0, 0.525],
    "67": [0, 0.61111, 0, 0, 0.525],
    "68": [0, 0.61111, 0, 0, 0.525],
    "69": [0, 0.61111, 0, 0, 0.525],
    "70": [0, 0.61111, 0, 0, 0.525],
    "71": [0, 0.61111, 0, 0, 0.525],
    "72": [0, 0.61111, 0, 0, 0.525],
    "73": [0, 0.61111, 0, 0, 0.525],
    "74": [0, 0.61111, 0, 0, 0.525],
    "75": [0, 0.61111, 0, 0, 0.525],
    "76": [0, 0.61111, 0, 0, 0.525],
    "77": [0, 0.61111, 0, 0, 0.525],
    "78": [0, 0.61111, 0, 0, 0.525],
    "79": [0, 0.61111, 0, 0, 0.525],
    "80": [0, 0.61111, 0, 0, 0.525],
    "81": [0.13889, 0.61111, 0, 0, 0.525],
    "82": [0, 0.61111, 0, 0, 0.525],
    "83": [0, 0.61111, 0, 0, 0.525],
    "84": [0, 0.61111, 0, 0, 0.525],
    "85": [0, 0.61111, 0, 0, 0.525],
    "86": [0, 0.61111, 0, 0, 0.525],
    "87": [0, 0.61111, 0, 0, 0.525],
    "88": [0, 0.61111, 0, 0, 0.525],
    "89": [0, 0.61111, 0, 0, 0.525],
    "90": [0, 0.61111, 0, 0, 0.525],
    "91": [0.08333, 0.69444, 0, 0, 0.525],
    "92": [0.08333, 0.69444, 0, 0, 0.525],
    "93": [0.08333, 0.69444, 0, 0, 0.525],
    "94": [0, 0.61111, 0, 0, 0.525],
    "95": [0.09514, 0, 0, 0, 0.525],
    "96": [0, 0.61111, 0, 0, 0.525],
    "97": [0, 0.43056, 0, 0, 0.525],
    "98": [0, 0.61111, 0, 0, 0.525],
    "99": [0, 0.43056, 0, 0, 0.525],
    "100": [0, 0.61111, 0, 0, 0.525],
    "101": [0, 0.43056, 0, 0, 0.525],
    "102": [0, 0.61111, 0, 0, 0.525],
    "103": [0.22222, 0.43056, 0, 0, 0.525],
    "104": [0, 0.61111, 0, 0, 0.525],
    "105": [0, 0.61111, 0, 0, 0.525],
    "106": [0.22222, 0.61111, 0, 0, 0.525],
    "107": [0, 0.61111, 0, 0, 0.525],
    "108": [0, 0.61111, 0, 0, 0.525],
    "109": [0, 0.43056, 0, 0, 0.525],
    "110": [0, 0.43056, 0, 0, 0.525],
    "111": [0, 0.43056, 0, 0, 0.525],
    "112": [0.22222, 0.43056, 0, 0, 0.525],
    "113": [0.22222, 0.43056, 0, 0, 0.525],
    "114": [0, 0.43056, 0, 0, 0.525],
    "115": [0, 0.43056, 0, 0, 0.525],
    "116": [0, 0.55358, 0, 0, 0.525],
    "117": [0, 0.43056, 0, 0, 0.525],
    "118": [0, 0.43056, 0, 0, 0.525],
    "119": [0, 0.43056, 0, 0, 0.525],
    "120": [0, 0.43056, 0, 0, 0.525],
    "121": [0.22222, 0.43056, 0, 0, 0.525],
    "122": [0, 0.43056, 0, 0, 0.525],
    "123": [0.08333, 0.69444, 0, 0, 0.525],
    "124": [0.08333, 0.69444, 0, 0, 0.525],
    "125": [0.08333, 0.69444, 0, 0, 0.525],
    "126": [0, 0.61111, 0, 0, 0.525],
    "127": [0, 0.61111, 0, 0, 0.525],
    "160": [0, 0, 0, 0, 0.525],
    "176": [0, 0.61111, 0, 0, 0.525],
    "184": [0.19445, 0, 0, 0, 0.525],
    "305": [0, 0.43056, 0, 0, 0.525],
    "567": [0.22222, 0.43056, 0, 0, 0.525],
    "711": [0, 0.56597, 0, 0, 0.525],
    "713": [0, 0.56555, 0, 0, 0.525],
    "714": [0, 0.61111, 0, 0, 0.525],
    "715": [0, 0.61111, 0, 0, 0.525],
    "728": [0, 0.61111, 0, 0, 0.525],
    "730": [0, 0.61111, 0, 0, 0.525],
    "770": [0, 0.61111, 0, 0, 0.525],
    "771": [0, 0.61111, 0, 0, 0.525],
    "776": [0, 0.61111, 0, 0, 0.525],
    "915": [0, 0.61111, 0, 0, 0.525],
    "916": [0, 0.61111, 0, 0, 0.525],
    "920": [0, 0.61111, 0, 0, 0.525],
    "923": [0, 0.61111, 0, 0, 0.525],
    "926": [0, 0.61111, 0, 0, 0.525],
    "928": [0, 0.61111, 0, 0, 0.525],
    "931": [0, 0.61111, 0, 0, 0.525],
    "933": [0, 0.61111, 0, 0, 0.525],
    "934": [0, 0.61111, 0, 0, 0.525],
    "936": [0, 0.61111, 0, 0, 0.525],
    "937": [0, 0.61111, 0, 0, 0.525],
    "8216": [0, 0.61111, 0, 0, 0.525],
    "8217": [0, 0.61111, 0, 0, 0.525],
    "8242": [0, 0.61111, 0, 0, 0.525],
    "9251": [0.11111, 0.21944, 0, 0, 0.525]
  }
};

/**
 * 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.
 */
// In TeX, there are actually three sets of dimensions, one for each of
// textstyle (size index 5 and higher: >=9pt), scriptstyle (size index 3 and 4:
// 7-8pt), and scriptscriptstyle (size index 1 and 2: 5-6pt).  These are
// provided in the the arrays below, in that order.
//
// The font metrics are stored in fonts cmsy10, cmsy7, and cmsy5 respsectively.
// This was determined by running the following script:
//
//     latex -interaction=nonstopmode \
//     '\documentclass{article}\usepackage{amsmath}\begin{document}' \
//     '$a$ \expandafter\show\the\textfont2' \
//     '\expandafter\show\the\scriptfont2' \
//     '\expandafter\show\the\scriptscriptfont2' \
//     '\stop'
//
// The metrics themselves were retreived using the following commands:
//
//     tftopl cmsy10
//     tftopl cmsy7
//     tftopl cmsy5
//
// The output of each of these commands is quite lengthy.  The only part we
// care about is the FONTDIMEN section. Each value is measured in EMs.
const sigmasAndXis = {
  slant: [0.250, 0.250, 0.250],
  // sigma1
  space: [0.000, 0.000, 0.000],
  // sigma2
  stretch: [0.000, 0.000, 0.000],
  // sigma3
  shrink: [0.000, 0.000, 0.000],
  // sigma4
  xHeight: [0.431, 0.431, 0.431],
  // sigma5
  quad: [1.000, 1.171, 1.472],
  // sigma6
  extraSpace: [0.000, 0.000, 0.000],
  // sigma7
  num1: [0.677, 0.732, 0.925],
  // sigma8
  num2: [0.394, 0.384, 0.387],
  // sigma9
  num3: [0.444, 0.471, 0.504],
  // sigma10
  denom1: [0.686, 0.752, 1.025],
  // sigma11
  denom2: [0.345, 0.344, 0.532],
  // sigma12
  sup1: [0.413, 0.503, 0.504],
  // sigma13
  sup2: [0.363, 0.431, 0.404],
  // sigma14
  sup3: [0.289, 0.286, 0.294],
  // sigma15
  sub1: [0.150, 0.143, 0.200],
  // sigma16
  sub2: [0.247, 0.286, 0.400],
  // sigma17
  supDrop: [0.386, 0.353, 0.494],
  // sigma18
  subDrop: [0.050, 0.071, 0.100],
  // sigma19
  delim1: [2.390, 1.700, 1.980],
  // sigma20
  delim2: [1.010, 1.157, 1.420],
  // sigma21
  axisHeight: [0.250, 0.250, 0.250],
  // sigma22
  // These font metrics are extracted from TeX by using tftopl on cmex10.tfm;
  // they correspond to the font parameters of the extension fonts (family 3).
  // See the TeXbook, page 441. In AMSTeX, the extension fonts scale; to
  // match cmex7, we'd use cmex7.tfm values for script and scriptscript
  // values.
  defaultRuleThickness: [0.04, 0.049, 0.049],
  // xi8; cmex7: 0.049
  bigOpSpacing1: [0.111, 0.111, 0.111],
  // xi9
  bigOpSpacing2: [0.166, 0.166, 0.166],
  // xi10
  bigOpSpacing3: [0.2, 0.2, 0.2],
  // xi11
  bigOpSpacing4: [0.6, 0.611, 0.611],
  // xi12; cmex7: 0.611
  bigOpSpacing5: [0.1, 0.143, 0.143],
  // xi13; cmex7: 0.143
  // The \sqrt rule width is taken from the height of the surd character.
  // Since we use the same font at all sizes, this thickness doesn't scale.
  sqrtRuleThickness: [0.04, 0.04, 0.04],
  // 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.
  ptPerEm: [10.0, 10.0, 10.0],
  // The space between adjacent `|` columns in an array definition. From
  // `\showthe\doublerulesep` in LaTeX. Equals 2.0 / ptPerEm.
  doubleRuleSep: [0.2, 0.2, 0.2],
  // The width of separator lines in {array} environments. From
  // `\showthe\arrayrulewidth` in LaTeX. Equals 0.4 / ptPerEm.
  arrayRuleWidth: [0.04, 0.04, 0.04],
  // Two values from LaTeX source2e:
  fboxsep: [0.3, 0.3, 0.3],
  //        3 pt / ptPerEm
  fboxrule: [0.04, 0.04, 0.04] // 0.4 pt / ptPerEm

}; // This map contains a mapping from font name and character code to character
// 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.

const extraCharacterMap = {
  // Latin-1
  'Å': 'A',
  'Ç': 'C',
  'Ð': 'D',
  'Þ': 'o',
  'å': 'a',
  'ç': 'c',
  'ð': 'd',
  'þ': 'o',
  // 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 adds new font metrics to default metricMap
 * It can also override existing metrics
 */
function setFontMetrics(fontName, metrics) {
  metricMap[fontName] = metrics;
}
/**
 * This function is a convenience function for looking up information in the
 * metricMap table. It takes a character as a string, and a font.
 *
 * Note: the `width` property may be undefined if fontMetricsData.js wasn't
 * built using `Make extended_metrics`.
 */

function getCharacterMetrics(character, font, mode) {
  if (!metricMap[font]) {
    throw new Error(`Font metrics not found for font: ${font}.`);
  }

  let ch = character.charCodeAt(0);
  let metrics = metricMap[font][ch];

  if (!metrics && character[0] in extraCharacterMap) {
    ch = extraCharacterMap[character[0]].charCodeAt(0);
    metrics = metricMap[font][ch];
  }

  if (!metrics && mode === 'text') {
    // We don't typically have font metrics for Asian scripts.
    // But since we support them in text mode, we need to return
    // some sort of metrics.
    // So if the character is in a script we support but we
    // don't have metrics for it, just use the metrics for
    // the Latin capital letter M. This is close enough because
    // we (currently) only care about the height of the glpyh
    // not its width.
    if (supportedCodepoint(ch)) {
      metrics = metricMap[font][77]; // 77 is the charcode for 'M'
    }
  }

  if (metrics) {
    return {
      depth: metrics[0],
      height: metrics[1],
      italic: metrics[2],
      skew: metrics[3],
      width: metrics[4]
    };
  }
}
const fontMetricsBySizeIndex = {};
/**
 * Get the font metrics for a given size.
 */

function getGlobalMetrics(size) {
  let sizeIndex;

  if (size >= 5) {
    sizeIndex = 0;
  } else if (size >= 3) {
    sizeIndex = 1;
  } else {
    sizeIndex = 2;
  }

  if (!fontMetricsBySizeIndex[sizeIndex]) {
    const metrics = fontMetricsBySizeIndex[sizeIndex] = {
      cssEmPerMu: sigmasAndXis.quad[sizeIndex] / 18
    };

    for (const key in sigmasAndXis) {
      if (sigmasAndXis.hasOwnProperty(key)) {
        metrics[key] = sigmasAndXis[key][sizeIndex];
      }
    }
  }

  return fontMetricsBySizeIndex[sizeIndex];
}

/**
 * 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/KaTeX/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").
 */
// Some of these have a "-token" suffix since these are also used as `ParseNode`
// types for raw text tokens, and we want to avoid conflicts with higher-level
// `ParseNode` types. These `ParseNode`s are constructed within `Parser` by
// looking up the `symbols` map.
const ATOMS = {
  "bin": 1,
  "close": 1,
  "inner": 1,
  "open": 1,
  "punct": 1,
  "rel": 1
};
const NON_ATOMS = {
  "accent-token": 1,
  "mathord": 1,
  "op-token": 1,
  "spacing": 1,
  "textord": 1
};
const symbols = {
  "math": {},
  "text": {}
};
/** `acceptUnicodeChar = true` is only applicable if `replace` is set. */

function defineSymbol(mode, font, group, replace, name, acceptUnicodeChar) {
  symbols[mode][name] = {
    font,
    group,
    replace
  };

  if (acceptUnicodeChar && replace) {
    symbols[mode][replace] = symbols[mode][name];
  }
} // Some abbreviations for commonly used strings.
// This helps minify the code, and also spotting typos using jshint.
// modes:

const math = "math";
const text$1 = "text"; // fonts:

const main = "main";
const ams = "ams"; // groups:

const accent = "accent-token";
const bin = "bin";
const close = "close";
const inner = "inner";
const mathord = "mathord";
const op = "op-token";
const open = "open";
const punct = "punct";
const rel = "rel";
const spacing = "spacing";
const textord = "textord"; // Now comes the symbol table
// Relation Symbols

defineSymbol(math, main, rel, "\u2261", "\\equiv", true);
defineSymbol(math, main, rel, "\u227a", "\\prec", true);
defineSymbol(math, main, rel, "\u227b", "\\succ", true);
defineSymbol(math, main, rel, "\u223c", "\\sim", true);
defineSymbol(math, main, rel, "\u22a5", "\\perp");
defineSymbol(math, main, rel, "\u2aaf", "\\preceq", true);
defineSymbol(math, main, rel, "\u2ab0", "\\succeq", true);
defineSymbol(math, main, rel, "\u2243", "\\simeq", true);
defineSymbol(math, main, rel, "\u2223", "\\mid", true);
defineSymbol(math, main, rel, "\u226a", "\\ll", true);
defineSymbol(math, main, rel, "\u226b", "\\gg", true);
defineSymbol(math, main, rel, "\u224d", "\\asymp", true);
defineSymbol(math, main, rel, "\u2225", "\\parallel");
defineSymbol(math, main, rel, "\u22c8", "\\bowtie", true);
defineSymbol(math, main, rel, "\u2323", "\\smile", true);
defineSymbol(math, main, rel, "\u2291", "\\sqsubseteq", true);
defineSymbol(math, main, rel, "\u2292", "\\sqsupseteq", true);
defineSymbol(math, main, rel, "\u2250", "\\doteq", true);
defineSymbol(math, main, rel, "\u2322", "\\frown", true);
defineSymbol(math, main, rel, "\u220b", "\\ni", true);
defineSymbol(math, main, rel, "\u221d", "\\propto", true);
defineSymbol(math, main, rel, "\u22a2", "\\vdash", true);
defineSymbol(math, main, rel, "\u22a3", "\\dashv", true);
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(text$1, main, textord, "\u0023", "\\#");
defineSymbol(math, main, textord, "\u0026", "\\&");
defineSymbol(text$1, main, textord, "\u0026", "\\&");
defineSymbol(math, main, textord, "\u2135", "\\aleph", true);
defineSymbol(math, main, textord, "\u2200", "\\forall", true);
defineSymbol(math, main, textord, "\u210f", "\\hbar", true);
defineSymbol(math, main, textord, "\u2203", "\\exists", true);
defineSymbol(math, main, textord, "\u2207", "\\nabla", true);
defineSymbol(math, main, textord, "\u266d", "\\flat", true);
defineSymbol(math, main, textord, "\u2113", "\\ell", true);
defineSymbol(math, main, textord, "\u266e", "\\natural", true);
defineSymbol(math, main, textord, "\u2663", "\\clubsuit", true);
defineSymbol(math, main, textord, "\u2118", "\\wp", true);
defineSymbol(math, main, textord, "\u266f", "\\sharp", true);
defineSymbol(math, main, textord, "\u2662", "\\diamondsuit", true);
defineSymbol(math, main, textord, "\u211c", "\\Re", true);
defineSymbol(math, main, textord, "\u2661", "\\heartsuit", true);
defineSymbol(math, main, textord, "\u2111", "\\Im", true);
defineSymbol(math, main, textord, "\u2660", "\\spadesuit", true);
defineSymbol(text$1, main, textord, "\u00a7", "\\S", true);
defineSymbol(text$1, main, textord, "\u00b6", "\\P", true); // Math and Text

defineSymbol(math, main, textord, "\u2020", "\\dag");
defineSymbol(text$1, main, textord, "\u2020", "\\dag");
defineSymbol(text$1, main, textord, "\u2020", "\\textdagger");
defineSymbol(math, main, textord, "\u2021", "\\ddag");
defineSymbol(text$1, main, textord, "\u2021", "\\ddag");
defineSymbol(text$1, main, textord, "\u2021", "\\textdaggerdbl"); // Large Delimiters

defineSymbol(math, main, close, "\u23b1", "\\rmoustache", true);
defineSymbol(math, main, open, "\u23b0", "\\lmoustache", true);
defineSymbol(math, main, close, "\u27ef", "\\rgroup", true);
defineSymbol(math, main, open, "\u27ee", "\\lgroup", true); // Binary Operators

defineSymbol(math, main, bin, "\u2213", "\\mp", true);
defineSymbol(math, main, bin, "\u2296", "\\ominus", true);
defineSymbol(math, main, bin, "\u228e", "\\uplus", true);
defineSymbol(math, main, bin, "\u2293", "\\sqcap", true);
defineSymbol(math, main, bin, "\u2217", "\\ast");
defineSymbol(math, main, bin, "\u2294", "\\sqcup", true);
defineSymbol(math, main, bin, "\u25ef", "\\bigcirc");
defineSymbol(math, main, bin, "\u2219", "\\bullet");
defineSymbol(math, main, bin, "\u2021", "\\ddagger");
defineSymbol(math, main, bin, "\u2240", "\\wr", true);
defineSymbol(math, main, bin, "\u2a3f", "\\amalg");
defineSymbol(math, main, bin, "\u0026", "\\And"); // from amsmath
// Arrow Symbols

defineSymbol(math, main, rel, "\u27f5", "\\longleftarrow", true);
defineSymbol(math, main, rel, "\u21d0", "\\Leftarrow", true);
defineSymbol(math, main, rel, "\u27f8", "\\Longleftarrow", true);
defineSymbol(math, main, rel, "\u27f6", "\\longrightarrow", true);
defineSymbol(math, main, rel, "\u21d2", "\\Rightarrow", true);
defineSymbol(math, main, rel, "\u27f9", "\\Longrightarrow", true);
defineSymbol(math, main, rel, "\u2194", "\\leftrightarrow", true);
defineSymbol(math, main, rel, "\u27f7", "\\longleftrightarrow", true);
defineSymbol(math, main, rel, "\u21d4", "\\Leftrightarrow", true);
defineSymbol(math, main, rel, "\u27fa", "\\Longleftrightarrow", true);
defineSymbol(math, main, rel, "\u21a6", "\\mapsto", true);
defineSymbol(math, main, rel, "\u27fc", "\\longmapsto", true);
defineSymbol(math, main, rel, "\u2197", "\\nearrow", true);
defineSymbol(math, main, rel, "\u21a9", "\\hookleftarrow", true);
defineSymbol(math, main, rel, "\u21aa", "\\hookrightarrow", true);
defineSymbol(math, main, rel, "\u2198", "\\searrow", true);
defineSymbol(math, main, rel, "\u21bc", "\\leftharpoonup", true);
defineSymbol(math, main, rel, "\u21c0", "\\rightharpoonup", true);
defineSymbol(math, main, rel, "\u2199", "\\swarrow", true);
defineSymbol(math, main, rel, "\u21bd", "\\leftharpoondown", true);
defineSymbol(math, main, rel, "\u21c1", "\\rightharpoondown", true);
defineSymbol(math, main, rel, "\u2196", "\\nwarrow", true);
defineSymbol(math, main, rel, "\u21cc", "\\rightleftharpoons", true); // AMS Negated Binary Relations

defineSymbol(math, ams, rel, "\u226e", "\\nless", true); // Symbol names preceeded by "@" each have a corresponding macro.

defineSymbol(math, ams, rel, "\ue010", "\\@nleqslant");
defineSymbol(math, ams, rel, "\ue011", "\\@nleqq");
defineSymbol(math, ams, rel, "\u2a87", "\\lneq", true);
defineSymbol(math, ams, rel, "\u2268", "\\lneqq", true);
defineSymbol(math, ams, rel, "\ue00c", "\\@lvertneqq");
defineSymbol(math, ams, rel, "\u22e6", "\\lnsim", true);
defineSymbol(math, ams, rel, "\u2a89", "\\lnapprox", true);
defineSymbol(math, ams, rel, "\u2280", "\\nprec", true); // unicode-math maps \u22e0 to \npreccurlyeq. We'll use the AMS synonym.

defineSymbol(math, ams, rel, "\u22e0", "\\npreceq", true);
defineSymbol(math, ams, rel, "\u22e8", "\\precnsim", true);
defineSymbol(math, ams, rel, "\u2ab9", "\\precnapprox", true);
defineSymbol(math, ams, rel, "\u2241", "\\nsim", true);
defineSymbol(math, ams, rel, "\ue006", "\\@nshortmid");
defineSymbol(math, ams, rel, "\u2224", "\\nmid", true);
defineSymbol(math, ams, rel, "\u22ac", "\\nvdash", true);
defineSymbol(math, ams, rel, "\u22ad", "\\nvDash", true);
defineSymbol(math, ams, rel, "\u22ea", "\\ntriangleleft");
defineSymbol(math, ams, rel, "\u22ec", "\\ntrianglelefteq", true);
defineSymbol(math, ams, rel, "\u228a", "\\subsetneq", true);
defineSymbol(math, ams, rel, "\ue01a", "\\@varsubsetneq");
defineSymbol(math, ams, rel, "\u2acb", "\\subsetneqq", true);
defineSymbol(math, ams, rel, "\ue017", "\\@varsubsetneqq");
defineSymbol(math, ams, rel, "\u226f", "\\ngtr", true);
defineSymbol(math, ams, rel, "\ue00f", "\\@ngeqslant");
defineSymbol(math, ams, rel, "\ue00e", "\\@ngeqq");
defineSymbol(math, ams, rel, "\u2a88", "\\gneq", true);
defineSymbol(math, ams, rel, "\u2269", "\\gneqq", true);
defineSymbol(math, ams, rel, "\ue00d", "\\@gvertneqq");
defineSymbol(math, ams, rel, "\u22e7", "\\gnsim", true);
defineSymbol(math, ams, rel, "\u2a8a", "\\gnapprox", true);
defineSymbol(math, ams, rel, "\u2281", "\\nsucc", true); // unicode-math maps \u22e1 to \nsucccurlyeq. We'll use the AMS synonym.

defineSymbol(math, ams, rel, "\u22e1", "\\nsucceq", true);
defineSymbol(math, ams, rel, "\u22e9", "\\succnsim", true);
defineSymbol(math, ams, rel, "\u2aba", "\\succnapprox", true); // unicode-math maps \u2246 to \simneqq. We'll use the AMS synonym.

defineSymbol(math, ams, rel, "\u2246", "\\ncong", true);
defineSymbol(math, ams, rel, "\ue007", "\\@nshortparallel");
defineSymbol(math, ams, rel, "\u2226", "\\nparallel", true);
defineSymbol(math, ams, rel, "\u22af", "\\nVDash", true);
defineSymbol(math, ams, rel, "\u22eb", "\\ntriangleright");
defineSymbol(math, ams, rel, "\u22ed", "\\ntrianglerighteq", true);
defineSymbol(math, ams, rel, "\ue018", "\\@nsupseteqq");
defineSymbol(math, ams, rel, "\u228b", "\\supsetneq", true);
defineSymbol(math, ams, rel, "\ue01b", "\\@varsupsetneq");
defineSymbol(math, ams, rel, "\u2acc", "\\supsetneqq", true);
defineSymbol(math, ams, rel, "\ue019", "\\@varsupsetneqq");
defineSymbol(math, ams, rel, "\u22ae", "\\nVdash", true);
defineSymbol(math, ams, rel, "\u2ab5", "\\precneqq", true);
defineSymbol(math, ams, rel, "\u2ab6", "\\succneqq", true);
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", true);
defineSymbol(math, ams, rel, "\u219b", "\\nrightarrow", true);
defineSymbol(math, ams, rel, "\u21cd", "\\nLeftarrow", true);
defineSymbol(math, ams, rel, "\u21cf", "\\nRightarrow", true);
defineSymbol(math, ams, rel, "\u21ae", "\\nleftrightarrow", true);
defineSymbol(math, ams, rel, "\u21ce", "\\nLeftrightarrow", true); // 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(text$1, ams, textord, "\u00ae", "\\circledR");
defineSymbol(math, ams, textord, "\u2221", "\\measuredangle", true);
defineSymbol(math, ams, textord, "\u2204", "\\nexists");
defineSymbol(math, ams, textord, "\u2127", "\\mho");
defineSymbol(math, ams, textord, "\u2132", "\\Finv", true);
defineSymbol(math, ams, textord, "\u2141", "\\Game", true);
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", true);
defineSymbol(math, ams, textord, "\u2201", "\\complement", true); // unicode-math maps U+F0 to \matheth. We map to AMS function \eth

defineSymbol(math, ams, textord, "\u00f0", "\\eth", true);
defineSymbol(text$1, main, textord, "\u00f0", "\u00f0");
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"); // unicode-math maps U+A5 to \mathyen. We map to AMS function \yen

defineSymbol(math, ams, textord, "\u00a5", "\\yen", true);
defineSymbol(text$1, ams, textord, "\u00a5", "\\yen", true);
defineSymbol(math, ams, textord, "\u2713", "\\checkmark", true);
defineSymbol(text$1, ams, textord, "\u2713", "\\checkmark"); // AMS Hebrew

defineSymbol(math, ams, textord, "\u2136", "\\beth", true);
defineSymbol(math, ams, textord, "\u2138", "\\daleth", true);
defineSymbol(math, ams, textord, "\u2137", "\\gimel", true); // AMS Greek

defineSymbol(math, ams, textord, "\u03dd", "\\digamma", true);
defineSymbol(math, ams, textord, "\u03f0", "\\varkappa"); // AMS Delimiters

defineSymbol(math, ams, open, "\u250c", "\\@ulcorner", true);
defineSymbol(math, ams, close, "\u2510", "\\@urcorner", true);
defineSymbol(math, ams, open, "\u2514", "\\@llcorner", true);
defineSymbol(math, ams, close, "\u2518", "\\@lrcorner", true); // AMS Binary Relations

defineSymbol(math, ams, rel, "\u2266", "\\leqq", true);
defineSymbol(math, ams, rel, "\u2a7d", "\\leqslant", true);
defineSymbol(math, ams, rel, "\u2a95", "\\eqslantless", true);
defineSymbol(math, ams, rel, "\u2272", "\\lesssim", true);
defineSymbol(math, ams, rel, "\u2a85", "\\lessapprox", true);
defineSymbol(math, ams, rel, "\u224a", "\\approxeq", true);
defineSymbol(math, ams, bin, "\u22d6", "\\lessdot");
defineSymbol(math, ams, rel, "\u22d8", "\\lll", true);
defineSymbol(math, ams, rel, "\u2276", "\\lessgtr", true);
defineSymbol(math, ams, rel, "\u22da", "\\lesseqgtr", true);
defineSymbol(math, ams, rel, "\u2a8b", "\\lesseqqgtr", true);
defineSymbol(math, ams, rel, "\u2251", "\\doteqdot");
defineSymbol(math, ams, rel, "\u2253", "\\risingdotseq", true);
defineSymbol(math, ams, rel, "\u2252", "\\fallingdotseq", true);
defineSymbol(math, ams, rel, "\u223d", "\\backsim", true);
defineSymbol(math, ams, rel, "\u22cd", "\\backsimeq", true);
defineSymbol(math, ams, rel, "\u2ac5", "\\subseteqq", true);
defineSymbol(math, ams, rel, "\u22d0", "\\Subset", true);
defineSymbol(math, ams, rel, "\u228f", "\\sqsubset", true);
defineSymbol(math, ams, rel, "\u227c", "\\preccurlyeq", true);
defineSymbol(math, ams, rel, "\u22de", "\\curlyeqprec", true);
defineSymbol(math, ams, rel, "\u227e", "\\precsim", true);
defineSymbol(math, ams, rel, "\u2ab7", "\\precapprox", true);
defineSymbol(math, ams, rel, "\u22b2", "\\vartriangleleft");
defineSymbol(math, ams, rel, "\u22b4", "\\trianglelefteq");
defineSymbol(math, ams, rel, "\u22a8", "\\vDash", true);
defineSymbol(math, ams, rel, "\u22aa", "\\Vvdash", true);
defineSymbol(math, ams, rel, "\u2323", "\\smallsmile");
defineSymbol(math, ams, rel, "\u2322", "\\smallfrown");
defineSymbol(math, ams, rel, "\u224f", "\\bumpeq", true);
defineSymbol(math, ams, rel, "\u224e", "\\Bumpeq", true);
defineSymbol(math, ams, rel, "\u2267", "\\geqq", true);
defineSymbol(math, ams, rel, "\u2a7e", "\\geqslant", true);
defineSymbol(math, ams, rel, "\u2a96", "\\eqslantgtr", true);
defineSymbol(math, ams, rel, "\u2273", "\\gtrsim", true);
defineSymbol(math, ams, rel, "\u2a86", "\\gtrapprox", true);
defineSymbol(math, ams, bin, "\u22d7", "\\gtrdot");
defineSymbol(math, ams, rel, "\u22d9", "\\ggg", true);
defineSymbol(math, ams, rel, "\u2277", "\\gtrless", true);
defineSymbol(math, ams, rel, "\u22db", "\\gtreqless", true);
defineSymbol(math, ams, rel, "\u2a8c", "\\gtreqqless", true);
defineSymbol(math, ams, rel, "\u2256", "\\eqcirc", true);
defineSymbol(math, ams, rel, "\u2257", "\\circeq", true);
defineSymbol(math, ams, rel, "\u225c", "\\triangleq", true);
defineSymbol(math, ams, rel, "\u223c", "\\thicksim");
defineSymbol(math, ams, rel, "\u2248", "\\thickapprox");
defineSymbol(math, ams, rel, "\u2ac6", "\\supseteqq", true);
defineSymbol(math, ams, rel, "\u22d1", "\\Supset", true);
defineSymbol(math, ams, rel, "\u2290", "\\sqsupset", true);
defineSymbol(math, ams, rel, "\u227d", "\\succcurlyeq", true);
defineSymbol(math, ams, rel, "\u22df", "\\curlyeqsucc", true);
defineSymbol(math, ams, rel, "\u227f", "\\succsim", true);
defineSymbol(math, ams, rel, "\u2ab8", "\\succapprox", true);
defineSymbol(math, ams, rel, "\u22b3", "\\vartriangleright");
defineSymbol(math, ams, rel, "\u22b5", "\\trianglerighteq");
defineSymbol(math, ams, rel, "\u22a9", "\\Vdash", true);
defineSymbol(math, ams, rel, "\u2223", "\\shortmid");
defineSymbol(math, ams, rel, "\u2225", "\\shortparallel");
defineSymbol(math, ams, rel, "\u226c", "\\between", true);
defineSymbol(math, ams, rel, "\u22d4", "\\pitchfork", true);
defineSymbol(math, ams, rel, "\u221d", "\\varpropto");
defineSymbol(math, ams, rel, "\u25c0", "\\blacktriangleleft"); // unicode-math says that \therefore is a mathord atom.
// We kept the amssymb atom type, which is rel.

defineSymbol(math, ams, rel, "\u2234", "\\therefore", true);
defineSymbol(math, ams, rel, "\u220d", "\\backepsilon");
defineSymbol(math, ams, rel, "\u25b6", "\\blacktriangleright"); // unicode-math says that \because is a mathord atom.
// We kept the amssymb atom type, which is rel.

defineSymbol(math, ams, rel, "\u2235", "\\because", true);
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", true);
defineSymbol(math, main, rel, "\u22c8", "\\Join");
defineSymbol(math, ams, rel, "\u2251", "\\Doteq", true); // AMS Binary Operators

defineSymbol(math, ams, bin, "\u2214", "\\dotplus", true);
defineSymbol(math, ams, bin, "\u2216", "\\smallsetminus");
defineSymbol(math, ams, bin, "\u22d2", "\\Cap", true);
defineSymbol(math, ams, bin, "\u22d3", "\\Cup", true);
defineSymbol(math, ams, bin, "\u2a5e", "\\doublebarwedge", true);
defineSymbol(math, ams, bin, "\u229f", "\\boxminus", true);
defineSymbol(math, ams, bin, "\u229e", "\\boxplus", true);
defineSymbol(math, ams, bin, "\u22c7", "\\divideontimes", true);
defineSymbol(math, ams, bin, "\u22c9", "\\ltimes", true);
defineSymbol(math, ams, bin, "\u22ca", "\\rtimes", true);
defineSymbol(math, ams, bin, "\u22cb", "\\leftthreetimes", true);
defineSymbol(math, ams, bin, "\u22cc", "\\rightthreetimes", true);
defineSymbol(math, ams, bin, "\u22cf", "\\curlywedge", true);
defineSymbol(math, ams, bin, "\u22ce", "\\curlyvee", true);
defineSymbol(math, ams, bin, "\u229d", "\\circleddash", true);
defineSymbol(math, ams, bin, "\u229b", "\\circledast", true);
defineSymbol(math, ams, bin, "\u22c5", "\\centerdot");
defineSymbol(math, ams, bin, "\u22ba", "\\intercal", true);
defineSymbol(math, ams, bin, "\u22d2", "\\doublecap");
defineSymbol(math, ams, bin, "\u22d3", "\\doublecup");
defineSymbol(math, ams, bin, "\u22a0", "\\boxtimes", true); // AMS Arrows
// Note: unicode-math maps \u21e2 to their own function \rightdasharrow.
// We'll map it to AMS function \dashrightarrow. It produces the same atom.

defineSymbol(math, ams, rel, "\u21e2", "\\dashrightarrow", true); // unicode-math maps \u21e0 to \leftdasharrow. We'll use the AMS synonym.

defineSymbol(math, ams, rel, "\u21e0", "\\dashleftarrow", true);
defineSymbol(math, ams, rel, "\u21c7", "\\leftleftarrows", true);
defineSymbol(math, ams, rel, "\u21c6", "\\leftrightarrows", true);
defineSymbol(math, ams, rel, "\u21da", "\\Lleftarrow", true);
defineSymbol(math, ams, rel, "\u219e", "\\twoheadleftarrow", true);
defineSymbol(math, ams, rel, "\u21a2", "\\leftarrowtail", true);
defineSymbol(math, ams, rel, "\u21ab", "\\looparrowleft", true);
defineSymbol(math, ams, rel, "\u21cb", "\\leftrightharpoons", true);
defineSymbol(math, ams, rel, "\u21b6", "\\curvearrowleft", true); // unicode-math maps \u21ba to \acwopencirclearrow. We'll use the AMS synonym.

defineSymbol(math, ams, rel, "\u21ba", "\\circlearrowleft", true);
defineSymbol(math, ams, rel, "\u21b0", "\\Lsh", true);
defineSymbol(math, ams, rel, "\u21c8", "\\upuparrows", true);
defineSymbol(math, ams, rel, "\u21bf", "\\upharpoonleft", true);
defineSymbol(math, ams, rel, "\u21c3", "\\downharpoonleft", true);
defineSymbol(math, ams, rel, "\u22b8", "\\multimap", true);
defineSymbol(math, ams, rel, "\u21ad", "\\leftrightsquigarrow", true);
defineSymbol(math, ams, rel, "\u21c9", "\\rightrightarrows", true);
defineSymbol(math, ams, rel, "\u21c4", "\\rightleftarrows", true);
defineSymbol(math, ams, rel, "\u21a0", "\\twoheadrightarrow", true);
defineSymbol(math, ams, rel, "\u21a3", "\\rightarrowtail", true);
defineSymbol(math, ams, rel, "\u21ac", "\\looparrowright", true);
defineSymbol(math, ams, rel, "\u21b7", "\\curvearrowright", true); // unicode-math maps \u21bb to \cwopencirclearrow. We'll use the AMS synonym.

defineSymbol(math, ams, rel, "\u21bb", "\\circlearrowright", true);
defineSymbol(math, ams, rel, "\u21b1", "\\Rsh", true);
defineSymbol(math, ams, rel, "\u21ca", "\\downdownarrows", true);
defineSymbol(math, ams, rel, "\u21be", "\\upharpoonright", true);
defineSymbol(math, ams, rel, "\u21c2", "\\downharpoonright", true);
defineSymbol(math, ams, rel, "\u21dd", "\\rightsquigarrow", true);
defineSymbol(math, ams, rel, "\u21dd", "\\leadsto");
defineSymbol(math, ams, rel, "\u21db", "\\Rrightarrow", true);
defineSymbol(math, ams, rel, "\u21be", "\\restriction");
defineSymbol(math, main, textord, "\u2018", "`");
defineSymbol(math, main, textord, "$", "\\$");
defineSymbol(text$1, main, textord, "$", "\\$");
defineSymbol(text$1, main, textord, "$", "\\textdollar");
defineSymbol(math, main, textord, "%", "\\%");
defineSymbol(text$1, main, textord, "%", "\\%");
defineSymbol(math, main, textord, "_", "\\_");
defineSymbol(text$1, main, textord, "_", "\\_");
defineSymbol(text$1, main, textord, "_", "\\textunderscore");
defineSymbol(math, main, textord, "\u2220", "\\angle", true);
defineSymbol(math, main, textord, "\u221e", "\\infty", true);
defineSymbol(math, main, textord, "\u2032", "\\prime");
defineSymbol(math, main, textord, "\u25b3", "\\triangle");
defineSymbol(math, main, textord, "\u0393", "\\Gamma", true);
defineSymbol(math, main, textord, "\u0394", "\\Delta", true);
defineSymbol(math, main, textord, "\u0398", "\\Theta", true);
defineSymbol(math, main, textord, "\u039b", "\\Lambda", true);
defineSymbol(math, main, textord, "\u039e", "\\Xi", true);
defineSymbol(math, main, textord, "\u03a0", "\\Pi", true);
defineSymbol(math, main, textord, "\u03a3", "\\Sigma", true);
defineSymbol(math, main, textord, "\u03a5", "\\Upsilon", true);
defineSymbol(math, main, textord, "\u03a6", "\\Phi", true);
defineSymbol(math, main, textord, "\u03a8", "\\Psi", true);
defineSymbol(math, main, textord, "\u03a9", "\\Omega", true);
defineSymbol(math, main, textord, "A", "\u0391");
defineSymbol(math, main, textord, "B", "\u0392");
defineSymbol(math, main, textord, "E", "\u0395");
defineSymbol(math, main, textord, "Z", "\u0396");
defineSymbol(math, main, textord, "H", "\u0397");
defineSymbol(math, main, textord, "I", "\u0399");
defineSymbol(math, main, textord, "K", "\u039A");
defineSymbol(math, main, textord, "M", "\u039C");
defineSymbol(math, main, textord, "N", "\u039D");
defineSymbol(math, main, textord, "O", "\u039F");
defineSymbol(math, main, textord, "P", "\u03A1");
defineSymbol(math, main, textord, "T", "\u03A4");
defineSymbol(math, main, textord, "X", "\u03A7");
defineSymbol(math, main, textord, "\u00ac", "\\neg", true);
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", true);
defineSymbol(math, main, mathord, "\u03b2", "\\beta", true);
defineSymbol(math, main, mathord, "\u03b3", "\\gamma", true);
defineSymbol(math, main, mathord, "\u03b4", "\\delta", true);
defineSymbol(math, main, mathord, "\u03f5", "\\epsilon", true);
defineSymbol(math, main, mathord, "\u03b6", "\\zeta", true);
defineSymbol(math, main, mathord, "\u03b7", "\\eta", true);
defineSymbol(math, main, mathord, "\u03b8", "\\theta", true);
defineSymbol(math, main, mathord, "\u03b9", "\\iota", true);
defineSymbol(math, main, mathord, "\u03ba", "\\kappa", true);
defineSymbol(math, main, mathord, "\u03bb", "\\lambda", true);
defineSymbol(math, main, mathord, "\u03bc", "\\mu", true);
defineSymbol(math, main, mathord, "\u03bd", "\\nu", true);
defineSymbol(math, main, mathord, "\u03be", "\\xi", true);
defineSymbol(math, main, mathord, "\u03bf", "\\omicron", true);
defineSymbol(math, main, mathord, "\u03c0", "\\pi", true);
defineSymbol(math, main, mathord, "\u03c1", "\\rho", true);
defineSymbol(math, main, mathord, "\u03c3", "\\sigma", true);
defineSymbol(math, main, mathord, "\u03c4", "\\tau", true);
defineSymbol(math, main, mathord, "\u03c5", "\\upsilon", true);
defineSymbol(math, main, mathord, "\u03d5", "\\phi", true);
defineSymbol(math, main, mathord, "\u03c7", "\\chi", true);
defineSymbol(math, main, mathord, "\u03c8", "\\psi", true);
defineSymbol(math, main, mathord, "\u03c9", "\\omega", true);
defineSymbol(math, main, mathord, "\u03b5", "\\varepsilon", true);
defineSymbol(math, main, mathord, "\u03d1", "\\vartheta", true);
defineSymbol(math, main, mathord, "\u03d6", "\\varpi", true);
defineSymbol(math, main, mathord, "\u03f1", "\\varrho", true);
defineSymbol(math, main, mathord, "\u03c2", "\\varsigma", true);
defineSymbol(math, main, mathord, "\u03c6", "\\varphi", true);
defineSymbol(math, main, bin, "\u2217", "*");
defineSymbol(math, main, bin, "+", "+");
defineSymbol(math, main, bin, "\u2212", "-");
defineSymbol(math, main, bin, "\u22c5", "\\cdot", true);
defineSymbol(math, main, bin, "\u2218", "\\circ");
defineSymbol(math, main, bin, "\u00f7", "\\div", true);
defineSymbol(math, main, bin, "\u00b1", "\\pm", true);
defineSymbol(math, main, bin, "\u00d7", "\\times", true);
defineSymbol(math, main, bin, "\u2229", "\\cap", true);
defineSymbol(math, main, bin, "\u222a", "\\cup", true);
defineSymbol(math, main, bin, "\u2216", "\\setminus");
defineSymbol(math, main, bin, "\u2227", "\\land");
defineSymbol(math, main, bin, "\u2228", "\\lor");
defineSymbol(math, main, bin, "\u2227", "\\wedge", true);
defineSymbol(math, main, bin, "\u2228", "\\vee", true);
defineSymbol(math, main, textord, "\u221a", "\\surd");
defineSymbol(math, main, open, "\u27e8", "\\langle", true);
defineSymbol(math, main, open, "\u2223", "\\lvert");
defineSymbol(math, main, open, "\u2225", "\\lVert");
defineSymbol(math, main, close, "?", "?");
defineSymbol(math, main, close, "!", "!");
defineSymbol(math, main, close, "\u27e9", "\\rangle", true);
defineSymbol(math, main, close, "\u2223", "\\rvert");
defineSymbol(math, main, close, "\u2225", "\\rVert");
defineSymbol(math, main, rel, "=", "=");
defineSymbol(math, main, rel, ":", ":");
defineSymbol(math, main, rel, "\u2248", "\\approx", true);
defineSymbol(math, main, rel, "\u2245", "\\cong", true);
defineSymbol(math, main, rel, "\u2265", "\\ge");
defineSymbol(math, main, rel, "\u2265", "\\geq", true);
defineSymbol(math, main, rel, "\u2190", "\\gets");
defineSymbol(math, main, rel, ">", "\\gt", true);
defineSymbol(math, main, rel, "\u2208", "\\in", true);
defineSymbol(math, main, rel, "\ue020", "\\@not");
defineSymbol(math, main, rel, "\u2282", "\\subset", true);
defineSymbol(math, main, rel, "\u2283", "\\supset", true);
defineSymbol(math, main, rel, "\u2286", "\\subseteq", true);
defineSymbol(math, main, rel, "\u2287", "\\supseteq", true);
defineSymbol(math, ams, rel, "\u2288", "\\nsubseteq", true);
defineSymbol(math, ams, rel, "\u2289", "\\nsupseteq", true);
defineSymbol(math, main, rel, "\u22a8", "\\models");
defineSymbol(math, main, rel, "\u2190", "\\leftarrow", true);
defineSymbol(math, main, rel, "\u2264", "\\le");
defineSymbol(math, main, rel, "\u2264", "\\leq", true);
defineSymbol(math, main, rel, "<", "\\lt", true);
defineSymbol(math, main, rel, "\u2192", "\\rightarrow", true);
defineSymbol(math, main, rel, "\u2192", "\\to");
defineSymbol(math, ams, rel, "\u2271", "\\ngeq", true);
defineSymbol(math, ams, rel, "\u2270", "\\nleq", true);
defineSymbol(math, main, spacing, "\u00a0", "\\ ");
defineSymbol(math, main, spacing, "\u00a0", "~");
defineSymbol(math, main, spacing, "\u00a0", "\\space"); // Ref: LaTeX Source 2e: \DeclareRobustCommand{\nobreakspace}{%

defineSymbol(math, main, spacing, "\u00a0", "\\nobreakspace");
defineSymbol(text$1, main, spacing, "\u00a0", "\\ ");
defineSymbol(text$1, main, spacing, "\u00a0", " ");
defineSymbol(text$1, main, spacing, "\u00a0", "~");
defineSymbol(text$1, main, spacing, "\u00a0", "\\space");
defineSymbol(text$1, main, spacing, "\u00a0", "\\nobreakspace");
defineSymbol(math, main, spacing, null, "\\nobreak");
defineSymbol(math, main, spacing, null, "\\allowbreak");
defineSymbol(math, main, punct, ",", ",");
defineSymbol(math, main, punct, ";", ";");
defineSymbol(math, ams, bin, "\u22bc", "\\barwedge", true);
defineSymbol(math, ams, bin, "\u22bb", "\\veebar", true);
defineSymbol(math, main, bin, "\u2299", "\\odot", true);
defineSymbol(math, main, bin, "\u2295", "\\oplus", true);
defineSymbol(math, main, bin, "\u2297", "\\otimes", true);
defineSymbol(math, main, textord, "\u2202", "\\partial", true);
defineSymbol(math, main, bin, "\u2298", "\\oslash", true);
defineSymbol(math, ams, bin, "\u229a", "\\circledcirc", true);
defineSymbol(math, ams, bin, "\u22a1", "\\boxdot", true);
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(text$1, main, textord, "{", "\\{");
defineSymbol(text$1, main, textord, "{", "\\textbraceleft");
defineSymbol(math, main, close, "}", "\\}");
defineSymbol(text$1, main, textord, "}", "\\}");
defineSymbol(text$1, main, textord, "}", "\\textbraceright");
defineSymbol(math, main, open, "{", "\\lbrace");
defineSymbol(math, main, close, "}", "\\rbrace");
defineSymbol(math, main, open, "[", "\\lbrack", true);
defineSymbol(text$1, main, textord, "[", "\\lbrack", true);
defineSymbol(math, main, close, "]", "\\rbrack", true);
defineSymbol(text$1, main, textord, "]", "\\rbrack", true);
defineSymbol(math, main, open, "(", "\\lparen", true);
defineSymbol(math, main, close, ")", "\\rparen", true);
defineSymbol(text$1, main, textord, "<", "\\textless", true); // in T1 fontenc

defineSymbol(text$1, main, textord, ">", "\\textgreater", true); // in T1 fontenc

defineSymbol(math, main, open, "\u230a", "\\lfloor", true);
defineSymbol(math, main, close, "\u230b", "\\rfloor", true);
defineSymbol(math, main, open, "\u2308", "\\lceil", true);
defineSymbol(math, main, close, "\u2309", "\\rceil", true);
defineSymbol(math, main, textord, "\\", "\\backslash");
defineSymbol(math, main, textord, "\u2223", "|");
defineSymbol(math, main, textord, "\u2223", "\\vert");
defineSymbol(text$1, main, textord, "|", "\\textbar", true); // in T1 fontenc

defineSymbol(math, main, textord, "\u2225", "\\|");
defineSymbol(math, main, textord, "\u2225", "\\Vert");
defineSymbol(text$1, main, textord, "\u2225", "\\textbardbl");
defineSymbol(text$1, main, textord, "~", "\\textasciitilde");
defineSymbol(text$1, main, textord, "\\", "\\textbackslash");
defineSymbol(text$1, main, textord, "^", "\\textasciicircum");
defineSymbol(math, main, rel, "\u2191", "\\uparrow", true);
defineSymbol(math, main, rel, "\u21d1", "\\Uparrow", true);
defineSymbol(math, main, rel, "\u2193", "\\downarrow", true);
defineSymbol(math, main, rel, "\u21d3", "\\Downarrow", true);
defineSymbol(math, main, rel, "\u2195", "\\updownarrow", true);
defineSymbol(math, main, rel, "\u21d5", "\\Updownarrow", true);
defineSymbol(math, main, op, "\u2210", "\\coprod");
defineSymbol(math, main, op, "\u22c1", "\\bigvee");
defineSymbol(math, main, op, "\u22c0", "\\bigwedge");
defineSymbol(math, main, op, "\u2a04", "\\biguplus");
defineSymbol(math, main, op, "\u22c2", "\\bigcap");
defineSymbol(math, main, op, "\u22c3", "\\bigcup");
defineSymbol(math, main, op, "\u222b", "\\int");
defineSymbol(math, main, op, "\u222b", "\\intop");
defineSymbol(math, main, op, "\u222c", "\\iint");
defineSymbol(math, main, op, "\u222d", "\\iiint");
defineSymbol(math, main, op, "\u220f", "\\prod");
defineSymbol(math, main, op, "\u2211", "\\sum");
defineSymbol(math, main, op, "\u2a02", "\\bigotimes");
defineSymbol(math, main, op, "\u2a01", "\\bigoplus");
defineSymbol(math, main, op, "\u2a00", "\\bigodot");
defineSymbol(math, main, op, "\u222e", "\\oint");
defineSymbol(math, main, op, "\u2a06", "\\bigsqcup");
defineSymbol(math, main, op, "\u222b", "\\smallint");
defineSymbol(text$1, main, inner, "\u2026", "\\textellipsis");
defineSymbol(math, main, inner, "\u2026", "\\mathellipsis");
defineSymbol(text$1, main, inner, "\u2026", "\\ldots", true);
defineSymbol(math, main, inner, "\u2026", "\\ldots", true);
defineSymbol(math, main, inner, "\u22ef", "\\@cdots", true);
defineSymbol(math, main, inner, "\u22f1", "\\ddots", true);
defineSymbol(math, main, textord, "\u22ee", "\\varvdots"); // \vdots is a macro

defineSymbol(math, main, accent, "\u02ca", "\\acute");
defineSymbol(math, main, accent, "\u02cb", "\\grave");
defineSymbol(math, main, accent, "\u00a8", "\\ddot");
defineSymbol(math, main, accent, "\u007e", "\\tilde");
defineSymbol(math, main, accent, "\u02c9", "\\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, accent, "\u02da", "\\mathring"); // \imath and \jmath should be invariant to \mathrm, \mathbf, etc., so use PUA

defineSymbol(math, main, mathord, "\ue131", "\\@imath");
defineSymbol(math, main, mathord, "\ue237", "\\@jmath");
defineSymbol(math, main, textord, "\u0131", "\u0131");
defineSymbol(math, main, textord, "\u0237", "\u0237");
defineSymbol(text$1, main, textord, "\u0131", "\\i", true);
defineSymbol(text$1, main, textord, "\u0237", "\\j", true);
defineSymbol(text$1, main, textord, "\u00df", "\\ss", true);
defineSymbol(text$1, main, textord, "\u00e6", "\\ae", true);
defineSymbol(text$1, main, textord, "\u0153", "\\oe", true);
defineSymbol(text$1, main, textord, "\u00f8", "\\o", true);
defineSymbol(text$1, main, textord, "\u00c6", "\\AE", true);
defineSymbol(text$1, main, textord, "\u0152", "\\OE", true);
defineSymbol(text$1, main, textord, "\u00d8", "\\O", true);
defineSymbol(text$1, main, accent, "\u02ca", "\\'"); // acute

defineSymbol(text$1, main, accent, "\u02cb", "\\`"); // grave

defineSymbol(text$1, main, accent, "\u02c6", "\\^"); // circumflex

defineSymbol(text$1, main, accent, "\u02dc", "\\~"); // tilde

defineSymbol(text$1, main, accent, "\u02c9", "\\="); // macron

defineSymbol(text$1, main, accent, "\u02d8", "\\u"); // breve

defineSymbol(text$1, main, accent, "\u02d9", "\\."); // dot above

defineSymbol(text$1, main, accent, "\u02da", "\\r"); // ring above

defineSymbol(text$1, main, accent, "\u02c7", "\\v"); // caron

defineSymbol(text$1, main, accent, "\u00a8", '\\"'); // diaresis

defineSymbol(text$1, main, accent, "\u02dd", "\\H"); // double acute

defineSymbol(text$1, main, accent, "\u25ef", "\\textcircled"); // \bigcirc glyph
// These ligatures are detected and created in Parser.js's `formLigatures`.

const ligatures = {
  "--": true,
  "---": true,
  "``": true,
  "''": true
};
defineSymbol(text$1, main, textord, "\u2013", "--", true);
defineSymbol(text$1, main, textord, "\u2013", "\\textendash");
defineSymbol(text$1, main, textord, "\u2014", "---", true);
defineSymbol(text$1, main, textord, "\u2014", "\\textemdash");
defineSymbol(text$1, main, textord, "\u2018", "`", true);
defineSymbol(text$1, main, textord, "\u2018", "\\textquoteleft");
defineSymbol(text$1, main, textord, "\u2019", "'", true);
defineSymbol(text$1, main, textord, "\u2019", "\\textquoteright");
defineSymbol(text$1, main, textord, "\u201c", "``", true);
defineSymbol(text$1, main, textord, "\u201c", "\\textquotedblleft");
defineSymbol(text$1, main, textord, "\u201d", "''", true);
defineSymbol(text$1, main, textord, "\u201d", "\\textquotedblright"); //  \degree from gensymb package

defineSymbol(math, main, textord, "\u00b0", "\\degree", true);
defineSymbol(text$1, main, textord, "\u00b0", "\\degree"); // \textdegree from inputenc package

defineSymbol(text$1, main, textord, "\u00b0", "\\textdegree", true); // TODO: In LaTeX, \pounds can generate a different character in text and math
// mode, but among our fonts, only Main-Regular defines this character "163".

defineSymbol(math, main, textord, "\u00a3", "\\pounds");
defineSymbol(math, main, textord, "\u00a3", "\\mathsterling", true);
defineSymbol(text$1, main, textord, "\u00a3", "\\pounds");
defineSymbol(text$1, main, textord, "\u00a3", "\\textsterling", true);
defineSymbol(math, ams, textord, "\u2720", "\\maltese");
defineSymbol(text$1, ams, textord, "\u2720", "\\maltese"); // There are lots of symbols which are the same, so we add them in afterwards.
// All of these are textords in math mode

const mathTextSymbols = "0123456789/@.\"";

for (let i = 0; i < mathTextSymbols.length; i++) {
  const ch = mathTextSymbols.charAt(i);
  defineSymbol(math, main, textord, ch, ch);
} // All of these are textords in text mode


const textSymbols = "0123456789!@*()-=+\";:?/.,";

for (let i = 0; i < textSymbols.length; i++) {
  const ch = textSymbols.charAt(i);
  defineSymbol(text$1, main, textord, ch, ch);
} // All of these are textords in text mode, and mathords in math mode


const letters = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";

for (let i = 0; i < letters.length; i++) {
  const ch = letters.charAt(i);
  defineSymbol(math, main, mathord, ch, ch);
  defineSymbol(text$1, main, textord, ch, ch);
} // Blackboard bold and script letters in Unicode range


defineSymbol(math, ams, textord, "C", "\u2102"); // blackboard bold

defineSymbol(text$1, ams, textord, "C", "\u2102");
defineSymbol(math, ams, textord, "H", "\u210D");
defineSymbol(text$1, ams, textord, "H", "\u210D");
defineSymbol(math, ams, textord, "N", "\u2115");
defineSymbol(text$1, ams, textord, "N", "\u2115");
defineSymbol(math, ams, textord, "P", "\u2119");
defineSymbol(text$1, ams, textord, "P", "\u2119");
defineSymbol(math, ams, textord, "Q", "\u211A");
defineSymbol(text$1, ams, textord, "Q", "\u211A");
defineSymbol(math, ams, textord, "R", "\u211D");
defineSymbol(text$1, ams, textord, "R", "\u211D");
defineSymbol(math, ams, textord, "Z", "\u2124");
defineSymbol(text$1, ams, textord, "Z", "\u2124");
defineSymbol(math, main, mathord, "h", "\u210E"); // italic h, Planck constant

defineSymbol(text$1, main, mathord, "h", "\u210E"); // The next loop loads wide (surrogate pair) characters.
// We support some letters in the Unicode range U+1D400 to U+1D7FF,
// Mathematical Alphanumeric Symbols.
// Some editors do not deal well with wide characters. So don't write the
// string into this file. Instead, create the string from the surrogate pair.

let wideChar = "";

for (let i = 0; i < letters.length; i++) {
  const ch = letters.charAt(i); // The hex numbers in the next line are a surrogate pair.
  // 0xD835 is the high surrogate for all letters in the range we support.
  // 0xDC00 is the low surrogate for bold A.

  wideChar = String.fromCharCode(0xD835, 0xDC00 + i); // A-Z a-z bold

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDC34 + i); // A-Z a-z italic

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDC68 + i); // A-Z a-z bold italic

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDD04 + i); // A-Z a-z Fractur

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDDA0 + i); // A-Z a-z sans-serif

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDDD4 + i); // A-Z a-z sans bold

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDE08 + i); // A-Z a-z sans italic

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDE70 + i); // A-Z a-z monospace

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);

  if (i < 26) {
    // KaTeX fonts have only capital letters for blackboard bold and script.
    // See exception for k below.
    wideChar = String.fromCharCode(0xD835, 0xDD38 + i); // A-Z double struck

    defineSymbol(math, main, mathord, ch, wideChar);
    defineSymbol(text$1, main, textord, ch, wideChar);
    wideChar = String.fromCharCode(0xD835, 0xDC9C + i); // A-Z script

    defineSymbol(math, main, mathord, ch, wideChar);
    defineSymbol(text$1, main, textord, ch, wideChar);
  } // TODO: Add bold script when it is supported by a KaTeX font.

} // "k" is the only double struck lower case letter in the KaTeX fonts.


wideChar = String.fromCharCode(0xD835, 0xDD5C); // k double struck

defineSymbol(math, main, mathord, "k", wideChar);
defineSymbol(text$1, main, textord, "k", wideChar); // Next, some wide character numerals

for (let i = 0; i < 10; i++) {
  const ch = i.toString();
  wideChar = String.fromCharCode(0xD835, 0xDFCE + i); // 0-9 bold

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDFE2 + i); // 0-9 sans serif

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDFEC + i); // 0-9 bold sans

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
  wideChar = String.fromCharCode(0xD835, 0xDFF6 + i); // 0-9 monospace

  defineSymbol(math, main, mathord, ch, wideChar);
  defineSymbol(text$1, main, textord, ch, wideChar);
} // We add these Latin-1 letters as symbols for backwards-compatibility,
// but they are not actually in the font, nor are they supported by the
// Unicode accent mechanism, so they fall back to Times font and look ugly.
// TODO(edemaine): Fix this.


const extraLatin = "\u00c7\u00d0\u00de\u00e7\u00fe";

for (let i = 0; i < extraLatin.length; i++) {
  const ch = extraLatin.charAt(i);
  defineSymbol(math, main, mathord, ch, ch);
  defineSymbol(text$1, main, textord, ch, ch);
}

/**
 * This file provides support for Unicode range U+1D400 to U+1D7FF,
 * Mathematical Alphanumeric Symbols.
 *
 * Function wideCharacterFont takes a wide character as input and returns
 * the font information necessary to render it properly.
 */
/**
 * Data below is from https://www.unicode.org/charts/PDF/U1D400.pdf
 * That document sorts characters into groups by font type, say bold or italic.
 *
 * In the arrays below, each subarray consists three elements:
 *      * The CSS class of that group when in math mode.
 *      * The CSS class of that group when in text mode.
 *      * The font name, so that KaTeX can get font metrics.
 */

const wideLatinLetterData = [["mathbf", "textbf", "Main-Bold"], // A-Z bold upright
["mathbf", "textbf", "Main-Bold"], // a-z bold upright
["mathnormal", "textit", "Math-Italic"], // A-Z italic
["mathnormal", "textit", "Math-Italic"], // a-z italic
["boldsymbol", "boldsymbol", "Main-BoldItalic"], // A-Z bold italic
["boldsymbol", "boldsymbol", "Main-BoldItalic"], // a-z bold italic
// Map fancy A-Z letters to script, not calligraphic.
// This aligns with unicode-math and math fonts (except Cambria Math).
["mathscr", "textscr", "Script-Regular"], // A-Z script
["", "", ""], // a-z script.  No font
["", "", ""], // A-Z bold script. No font
["", "", ""], // a-z bold script. No font
["mathfrak", "textfrak", "Fraktur-Regular"], // A-Z Fraktur
["mathfrak", "textfrak", "Fraktur-Regular"], // a-z Fraktur
["mathbb", "textbb", "AMS-Regular"], // A-Z double-struck
["mathbb", "textbb", "AMS-Regular"], // k double-struck
["", "", ""], // A-Z bold Fraktur No font metrics
["", "", ""], // a-z bold Fraktur.   No font.
["mathsf", "textsf", "SansSerif-Regular"], // A-Z sans-serif
["mathsf", "textsf", "SansSerif-Regular"], // a-z sans-serif
["mathboldsf", "textboldsf", "SansSerif-Bold"], // A-Z bold sans-serif
["mathboldsf", "textboldsf", "SansSerif-Bold"], // a-z bold sans-serif
["mathitsf", "textitsf", "SansSerif-Italic"], // A-Z italic sans-serif
["mathitsf", "textitsf", "SansSerif-Italic"], // a-z italic sans-serif
["", "", ""], // A-Z bold italic sans. No font
["", "", ""], // a-z bold italic sans. No font
["mathtt", "texttt", "Typewriter-Regular"], // A-Z monospace
["mathtt", "texttt", "Typewriter-Regular"]];
const wideNumeralData = [["mathbf", "textbf", "Main-Bold"], // 0-9 bold
["", "", ""], // 0-9 double-struck. No KaTeX font.
["mathsf", "textsf", "SansSerif-Regular"], // 0-9 sans-serif
["mathboldsf", "textboldsf", "SansSerif-Bold"], // 0-9 bold sans-serif
["mathtt", "texttt", "Typewriter-Regular"]];
const wideCharacterFont = function wideCharacterFont(wideChar, mode) {
  // IE doesn't support codePointAt(). So work with the surrogate pair.
  const H = wideChar.charCodeAt(0); // high surrogate

  const L = wideChar.charCodeAt(1); // low surrogate

  const codePoint = (H - 0xD800) * 0x400 + (L - 0xDC00) + 0x10000;
  const j = mode === "math" ? 0 : 1; // column index for CSS class.

  if (0x1D400 <= codePoint && codePoint < 0x1D6A4) {
    // wideLatinLetterData contains exactly 26 chars on each row.
    // So we can calculate the relevant row. No traverse necessary.
    const i = Math.floor((codePoint - 0x1D400) / 26);
    return [wideLatinLetterData[i][2], wideLatinLetterData[i][j]];
  } else if (0x1D7CE <= codePoint && codePoint <= 0x1D7FF) {
    // Numerals, ten per row.
    const i = Math.floor((codePoint - 0x1D7CE) / 10);
    return [wideNumeralData[i][2], wideNumeralData[i][j]];
  } else if (codePoint === 0x1D6A5 || codePoint === 0x1D6A6) {
    // dotless i or j
    return [wideLatinLetterData[0][2], wideLatinLetterData[0][j]];
  } else if (0x1D6A6 < codePoint && codePoint < 0x1D7CE) {
    // Greek letters. Not supported, yet.
    return ["", ""];
  } else {
    // We don't support any wide characters outside 1D400–1D7FF.
    throw new ParseError("Unsupported character: " + wideChar);
  }
};

/**
 * 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.
 */
const sizeStyleMap = [// Each element contains [textsize, scriptsize, scriptscriptsize].
// The size mappings are taken from TeX with \normalsize=10pt.
[1, 1, 1], // size1: [5, 5, 5]              \tiny
[2, 1, 1], // size2: [6, 5, 5]
[3, 1, 1], // size3: [7, 5, 5]              \scriptsize
[4, 2, 1], // size4: [8, 6, 5]              \footnotesize
[5, 2, 1], // size5: [9, 6, 5]              \small
[6, 3, 1], // size6: [10, 7, 5]             \normalsize
[7, 4, 2], // size7: [12, 8, 6]             \large
[8, 6, 3], // size8: [14.4, 10, 7]          \Large
[9, 7, 6], // size9: [17.28, 12, 10]        \LARGE
[10, 8, 7], // size10: [20.74, 14.4, 12]     \huge
[11, 10, 9]];
const sizeMultipliers = [// fontMetrics.js:getGlobalMetrics also uses size indexes, so if
// you change size indexes, change that function.
0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.2, 1.44, 1.728, 2.074, 2.488];

const sizeAtStyle = function sizeAtStyle(size, style) {
  return style.size < 2 ? size : sizeStyleMap[size - 1][style.size - 1];
}; // In these types, "" (empty string) means "no change".


/**
 * This is the main options class. It contains the current style, size, color,
 * and font.
 *
 * Options objects should not be modified. To create a new Options with
 * different properties, call a `.having*` method.
 */
class Options {
  // A font family applies to a group of fonts (i.e. SansSerif), while a font
  // represents a specific font (i.e. SansSerif Bold).
  // See: https://tex.stackexchange.com/questions/22350/difference-between-textrm-and-mathrm

  /**
   * The base size index.
   */
  constructor(data) {
    this.style = void 0;
    this.color = void 0;
    this.size = void 0;
    this.textSize = void 0;
    this.phantom = void 0;
    this.font = void 0;
    this.fontFamily = void 0;
    this.fontWeight = void 0;
    this.fontShape = void 0;
    this.sizeMultiplier = void 0;
    this.maxSize = void 0;
    this.minRuleThickness = void 0;
    this._fontMetrics = void 0;
    this.style = data.style;
    this.color = data.color;
    this.size = data.size || Options.BASESIZE;
    this.textSize = data.textSize || this.size;
    this.phantom = !!data.phantom;
    this.font = data.font || "";
    this.fontFamily = data.fontFamily || "";
    this.fontWeight = data.fontWeight || '';
    this.fontShape = data.fontShape || '';
    this.sizeMultiplier = sizeMultipliers[this.size - 1];
    this.maxSize = data.maxSize;
    this.minRuleThickness = data.minRuleThickness;
    this._fontMetrics = undefined;
  }
  /**
   * Returns a new options object with the same properties as "this".  Properties
   * from "extension" will be copied to the new options object.
   */


  extend(extension) {
    const data = {
      style: this.style,
      size: this.size,
      textSize: this.textSize,
      color: this.color,
      phantom: this.phantom,
      font: this.font,
      fontFamily: this.fontFamily,
      fontWeight: this.fontWeight,
      fontShape: this.fontShape,
      maxSize: this.maxSize,
      minRuleThickness: this.minRuleThickness
    };

    for (const key in extension) {
      if (extension.hasOwnProperty(key)) {
        data[key] = extension[key];
      }
    }

    return new Options(data);
  }
  /**
   * Return an options object with the given style. If `this.style === style`,
   * returns `this`.
   */


  havingStyle(style) {
    if (this.style === style) {
      return this;
    } else {
      return this.extend({
        style: style,
        size: sizeAtStyle(this.textSize, style)
      });
    }
  }
  /**
   * Return an options object with a cramped version of the current style. If
   * the current style is cramped, returns `this`.
   */


  havingCrampedStyle() {
    return this.havingStyle(this.style.cramp());
  }
  /**
   * Return an options object with the given size and in at least `\textstyle`.
   * Returns `this` if appropriate.
   */


  havingSize(size) {
    if (this.size === size && this.textSize === size) {
      return this;
    } else {
      return this.extend({
        style: this.style.text(),
        size: size,
        textSize: size,
        sizeMultiplier: sizeMultipliers[size - 1]
      });
    }
  }
  /**
   * Like `this.havingSize(BASESIZE).havingStyle(style)`. If `style` is omitted,
   * changes to at least `\textstyle`.
   */


  havingBaseStyle(style) {
    style = style || this.style.text();
    const wantSize = sizeAtStyle(Options.BASESIZE, style);

    if (this.size === wantSize && this.textSize === Options.BASESIZE && this.style === style) {
      return this;
    } else {
      return this.extend({
        style: style,
        size: wantSize
      });
    }
  }
  /**
   * Remove the effect of sizing changes such as \Huge.
   * Keep the effect of the current style, such as \scriptstyle.
   */


  havingBaseSizing() {
    let size;

    switch (this.style.id) {
      case 4:
      case 5:
        size = 3; // normalsize in scriptstyle

        break;

      case 6:
      case 7:
        size = 1; // normalsize in scriptscriptstyle

        break;

      default:
        size = 6;
      // normalsize in textstyle or displaystyle
    }

    return this.extend({
      style: this.style.text(),
      size: size
    });
  }
  /**
   * Create a new options object with the given color.
   */


  withColor(color) {
    return this.extend({
      color: color
    });
  }
  /**
   * Create a new options object with "phantom" set to true.
   */


  withPhantom() {
    return this.extend({
      phantom: true
    });
  }
  /**
   * Creates a new options object with the given math font or old text font.
   * @type {[type]}
   */


  withFont(font) {
    return this.extend({
      font
    });
  }
  /**
   * Create a new options objects with the given fontFamily.
   */


  withTextFontFamily(fontFamily) {
    return this.extend({
      fontFamily,
      font: ""
    });
  }
  /**
   * Creates a new options object with the given font weight
   */


  withTextFontWeight(fontWeight) {
    return this.extend({
      fontWeight,
      font: ""
    });
  }
  /**
   * Creates a new options object with the given font weight
   */


  withTextFontShape(fontShape) {
    return this.extend({
      fontShape,
      font: ""
    });
  }
  /**
   * Return the CSS sizing classes required to switch from enclosing options
   * `oldOptions` to `this`. Returns an array of classes.
   */


  sizingClasses(oldOptions) {
    if (oldOptions.size !== this.size) {
      return ["sizing", "reset-size" + oldOptions.size, "size" + this.size];
    } else {
      return [];
    }
  }
  /**
   * Return the CSS sizing classes required to switch to the base size. Like
   * `this.havingSize(BASESIZE).sizingClasses(this)`.
   */


  baseSizingClasses() {
    if (this.size !== Options.BASESIZE) {
      return ["sizing", "reset-size" + this.size, "size" + Options.BASESIZE];
    } else {
      return [];
    }
  }
  /**
   * Return the font metrics for this size.
   */


  fontMetrics() {
    if (!this._fontMetrics) {
      this._fontMetrics = getGlobalMetrics(this.size);
    }

    return this._fontMetrics;
  }
  /**
   * Gets the CSS color of the current options object
   */


  getColor() {
    if (this.phantom) {
      return "transparent";
    } else {
      return this.color;
    }
  }

}

Options.BASESIZE = 6;

/**
 * This file does conversion between units.  In particular, it provides
 * calculateSize to convert other units into ems.
 */
// Thus, multiplying a length by this number converts the length from units
// into pts.  Dividing the result by ptPerEm gives the number of ems
// *assuming* a font size of ptPerEm (normal size, normal style).

const ptPerUnit = {
  // https://en.wikibooks.org/wiki/LaTeX/Lengths and
  // https://tex.stackexchange.com/a/8263
  "pt": 1,
  // TeX point
  "mm": 7227 / 2540,
  // millimeter
  "cm": 7227 / 254,
  // centimeter
  "in": 72.27,
  // inch
  "bp": 803 / 800,
  // big (PostScript) points
  "pc": 12,
  // pica
  "dd": 1238 / 1157,
  // didot
  "cc": 14856 / 1157,
  // cicero (12 didot)
  "nd": 685 / 642,
  // new didot
  "nc": 1370 / 107,
  // new cicero (12 new didot)
  "sp": 1 / 65536,
  // scaled point (TeX's internal smallest unit)
  // https://tex.stackexchange.com/a/41371
  "px": 803 / 800 // \pdfpxdimen defaults to 1 bp in pdfTeX and LuaTeX

}; // Dictionary of relative units, for fast validity testing.

const relativeUnit = {
  "ex": true,
  "em": true,
  "mu": true
};

/**
 * Determine whether the specified unit (either a string defining the unit
 * or a "size" parse node containing a unit field) is valid.
 */
const validUnit = function validUnit(unit) {
  if (typeof unit !== "string") {
    unit = unit.unit;
  }

  return unit in ptPerUnit || unit in relativeUnit || unit === "ex";
};
/*
 * Convert a "size" parse node (with numeric "number" and string "unit" fields,
 * as parsed by functions.js argType "size") into a CSS em value for the
 * current style/scale.  `options` gives the current options.
 */

const calculateSize = function calculateSize(sizeValue, options) {
  let scale;

  if (sizeValue.unit in ptPerUnit) {
    // Absolute units
    scale = ptPerUnit[sizeValue.unit] // Convert unit to pt
    / options.fontMetrics().ptPerEm // Convert pt to CSS em
    / options.sizeMultiplier; // Unscale to make absolute units
  } else if (sizeValue.unit === "mu") {
    // `mu` units scale with scriptstyle/scriptscriptstyle.
    scale = options.fontMetrics().cssEmPerMu;
  } else {
    // Other relative units always refer to the *textstyle* font
    // in the current size.
    let unitOptions;

    if (options.style.isTight()) {
      // isTight() means current style is script/scriptscript.
      unitOptions = options.havingStyle(options.style.text());
    } else {
      unitOptions = options;
    } // TODO: In TeX these units are relative to the quad of the current
    // *text* font, e.g. cmr10. KaTeX instead uses values from the
    // comparably-sized *Computer Modern symbol* font. At 10pt, these
    // match. At 7pt and 5pt, they differ: cmr7=1.138894, cmsy7=1.170641;
    // cmr5=1.361133, cmsy5=1.472241. Consider $\scriptsize a\kern1emb$.
    // TeX \showlists shows a kern of 1.13889 * fontsize;
    // KaTeX shows a kern of 1.171 * fontsize.


    if (sizeValue.unit === "ex") {
      scale = unitOptions.fontMetrics().xHeight;
    } else if (sizeValue.unit === "em") {
      scale = unitOptions.fontMetrics().quad;
    } else {
      throw new ParseError("Invalid unit: '" + sizeValue.unit + "'");
    }

    if (unitOptions !== options) {
      scale *= unitOptions.sizeMultiplier / options.sizeMultiplier;
    }
  }

  return Math.min(sizeValue.number * scale, options.maxSize);
};

/* eslint no-console:0 */

/**
 * Looks up the given symbol in fontMetrics, after applying any symbol
 * replacements defined in symbol.js
 */
const lookupSymbol = function lookupSymbol(value, // TODO(#963): Use a union type for this.
fontName, mode) {
  // Replace the value with its replaced value from symbol.js
  if (symbols[mode][value] && symbols[mode][value].replace) {
    value = symbols[mode][value].replace;
  }

  return {
    value: value,
    metrics: getCharacterMetrics(value, fontName, mode)
  };
};
/**
 * 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.
 *
 * TODO: make argument order closer to makeSpan
 * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
 * should if present come first in `classes`.
 * TODO(#953): Make `options` mandatory and always pass it in.
 */


const makeSymbol = function makeSymbol(value, fontName, mode, options, classes) {
  const lookup = lookupSymbol(value, fontName, mode);
  const metrics = lookup.metrics;
  value = lookup.value;
  let symbolNode;

  if (metrics) {
    let italic = metrics.italic;

    if (mode === "text" || options && options.font === "mathit") {
      italic = 0;
    }

    symbolNode = new SymbolNode(value, metrics.height, metrics.depth, italic, metrics.skew, metrics.width, classes);
  } else {
    // TODO(emily): Figure out a good way to only print this in development
    typeof console !== "undefined" && console.warn("No character metrics " + `for '${value}' in style '${fontName}' and mode '${mode}'`);
    symbolNode = new SymbolNode(value, 0, 0, 0, 0, 0, classes);
  }

  if (options) {
    symbolNode.maxFontSize = options.sizeMultiplier;

    if (options.style.isTight()) {
      symbolNode.classes.push("mtight");
    }

    const color = options.getColor();

    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.
 */


const mathsym = function mathsym(value, mode, options, classes) {
  if (classes === void 0) {
    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, as well as a special case for boldsymbol because it
  // can be used for bold + and -
  if (options.font === "boldsymbol" && lookupSymbol(value, "Main-Bold", mode).metrics) {
    return makeSymbol(value, "Main-Bold", mode, options, classes.concat(["mathbf"]));
  } else if (value === "\\" || symbols[mode][value].font === "main") {
    return makeSymbol(value, "Main-Regular", mode, options, classes);
  } else {
    return makeSymbol(value, "AMS-Regular", mode, options, classes.concat(["amsrm"]));
  }
};
/**
 * Determines which of the two font names (Main-Bold and Math-BoldItalic) and
 * corresponding style tags (mathbf or boldsymbol) to use for font "boldsymbol",
 * depending on the symbol.  Use this function instead of fontMap for font
 * "boldsymbol".
 */


const boldsymbol = function boldsymbol(value, mode, options, classes, type) {
  if (type !== "textord" && lookupSymbol(value, "Math-BoldItalic", mode).metrics) {
    return {
      fontName: "Math-BoldItalic",
      fontClass: "boldsymbol"
    };
  } else {
    // Some glyphs do not exist in Math-BoldItalic so we need to use
    // Main-Bold instead.
    return {
      fontName: "Main-Bold",
      fontClass: "mathbf"
    };
  }
};
/**
 * Makes either a mathord or textord in the correct font and color.
 */


const makeOrd = function makeOrd(group, options, type) {
  const mode = group.mode;
  const text = group.text;
  const classes = ["mord"]; // Math mode or Old font (i.e. \rm)

  const isFont = mode === "math" || mode === "text" && options.font;
  const fontOrFamily = isFont ? options.font : options.fontFamily;

  if (text.charCodeAt(0) === 0xD835) {
    // surrogate pairs get special treatment
    const _wideCharacterFont = wideCharacterFont(text, mode),
          wideFontName = _wideCharacterFont[0],
          wideFontClass = _wideCharacterFont[1];

    return makeSymbol(text, wideFontName, mode, options, classes.concat(wideFontClass));
  } else if (fontOrFamily) {
    let fontName;
    let fontClasses;

    if (fontOrFamily === "boldsymbol") {
      const fontData = boldsymbol(text, mode, options, classes, type);
      fontName = fontData.fontName;
      fontClasses = [fontData.fontClass];
    } else if (isFont) {
      fontName = fontMap[fontOrFamily].fontName;
      fontClasses = [fontOrFamily];
    } else {
      fontName = retrieveTextFontName(fontOrFamily, options.fontWeight, options.fontShape);
      fontClasses = [fontOrFamily, options.fontWeight, options.fontShape];
    }

    if (lookupSymbol(text, fontName, mode).metrics) {
      return makeSymbol(text, fontName, mode, options, classes.concat(fontClasses));
    } else if (ligatures.hasOwnProperty(text) && fontName.substr(0, 10) === "Typewriter") {
      // Deconstruct ligatures in monospace fonts (\texttt, \tt).
      const parts = [];

      for (let i = 0; i < text.length; i++) {
        parts.push(makeSymbol(text[i], fontName, mode, options, classes.concat(fontClasses)));
      }

      return makeFragment(parts);
    }
  } // Makes a symbol in the default font for mathords and textords.


  if (type === "mathord") {
    return makeSymbol(text, "Math-Italic", mode, options, classes.concat(["mathnormal"]));
  } else if (type === "textord") {
    const font = symbols[mode][text] && symbols[mode][text].font;

    if (font === "ams") {
      const fontName = retrieveTextFontName("amsrm", options.fontWeight, options.fontShape);
      return makeSymbol(text, fontName, mode, options, classes.concat("amsrm", options.fontWeight, options.fontShape));
    } else if (font === "main" || !font) {
      const fontName = retrieveTextFontName("textrm", options.fontWeight, options.fontShape);
      return makeSymbol(text, fontName, mode, options, classes.concat(options.fontWeight, options.fontShape));
    } else {
      // fonts added by plugins
      const fontName = retrieveTextFontName(font, options.fontWeight, options.fontShape); // We add font name as a css class

      return makeSymbol(text, fontName, mode, options, classes.concat(fontName, options.fontWeight, options.fontShape));
    }
  } else {
    throw new Error("unexpected type: " + type + " in makeOrd");
  }
};
/**
 * Returns true if subsequent symbolNodes have the same classes, skew, maxFont,
 * and styles.
 */


const canCombine = (prev, next) => {
  if (createClass(prev.classes) !== createClass(next.classes) || prev.skew !== next.skew || prev.maxFontSize !== next.maxFontSize) {
    return false;
  }

  for (const style in prev.style) {
    if (prev.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
      return false;
    }
  }

  for (const style in next.style) {
    if (next.style.hasOwnProperty(style) && prev.style[style] !== next.style[style]) {
      return false;
    }
  }

  return true;
};
/**
 * Combine consequetive domTree.symbolNodes into a single symbolNode.
 * Note: this function mutates the argument.
 */


const tryCombineChars = chars => {
  for (let i = 0; i < chars.length - 1; i++) {
    const prev = chars[i];
    const next = chars[i + 1];

    if (prev instanceof SymbolNode && next instanceof SymbolNode && canCombine(prev, next)) {
      prev.text += next.text;
      prev.height = Math.max(prev.height, next.height);
      prev.depth = Math.max(prev.depth, next.depth); // Use the last character's italic correction since we use
      // it to add padding to the right of the span created from
      // the combined characters.

      prev.italic = next.italic;
      chars.splice(i + 1, 1);
      i--;
    }
  }

  return chars;
};
/**
 * Calculate the height, depth, and maxFontSize of an element based on its
 * children.
 */


const sizeElementFromChildren = function sizeElementFromChildren(elem) {
  let height = 0;
  let depth = 0;
  let maxFontSize = 0;

  for (let i = 0; i < elem.children.length; i++) {
    const child = elem.children[i];

    if (child.height > height) {
      height = child.height;
    }

    if (child.depth > depth) {
      depth = child.depth;
    }

    if (child.maxFontSize > maxFontSize) {
      maxFontSize = child.maxFontSize;
    }
  }

  elem.height = height;
  elem.depth = depth;
  elem.maxFontSize = maxFontSize;
};
/**
 * Makes a span with the given list of classes, list of children, and options.
 *
 * TODO(#953): Ensure that `options` is always provided (currently some call
 * sites don't pass it) and make the type below mandatory.
 * TODO: add a separate argument for math class (e.g. `mop`, `mbin`), which
 * should if present come first in `classes`.
 */


const makeSpan = function makeSpan(classes, children, options, style) {
  const span = new Span(classes, children, options, style);
  sizeElementFromChildren(span);
  return span;
}; // SVG one is simpler -- doesn't require height, depth, max-font setting.
// This is also a separate method for typesafety.


const makeSvgSpan = (classes, children, options, style) => new Span(classes, children, options, style);

const makeLineSpan = function makeLineSpan(className, options, thickness) {
  const line = makeSpan([className], [], options);
  line.height = Math.max(thickness || options.fontMetrics().defaultRuleThickness, options.minRuleThickness);
  line.style.borderBottomWidth = line.height + "em";
  line.maxFontSize = 1.0;
  return line;
};
/**
 * Makes an anchor with the given href, list of classes, list of children,
 * and options.
 */


const makeAnchor = function makeAnchor(href, classes, children, options) {
  const anchor = new Anchor(href, classes, children, options);
  sizeElementFromChildren(anchor);
  return anchor;
};
/**
 * Makes a document fragment with the given list of children.
 */


const makeFragment = function makeFragment(children) {
  const fragment = new DocumentFragment(children);
  sizeElementFromChildren(fragment);
  return fragment;
};
/**
 * Wraps group in a span if it's a document fragment, allowing to apply classes
 * and styles
 */


const wrapFragment = function wrapFragment(group, options) {
  if (group instanceof DocumentFragment) {
    return makeSpan([], [group], options);
  }

  return group;
}; // These are exact object types to catch typos in the names of the optional fields.


// Computes the updated `children` list and the overall depth.
//
// This helper function for makeVList makes it easier to enforce type safety by
// allowing early exits (returns) in the logic.
const getVListChildrenAndDepth = function getVListChildrenAndDepth(params) {
  if (params.positionType === "individualShift") {
    const oldChildren = params.children;
    const children = [oldChildren[0]]; // Add in kerns to the list of params.children to get each element to be
    // shifted to the correct specified shift

    const depth = -oldChildren[0].shift - oldChildren[0].elem.depth;
    let currPos = depth;

    for (let i = 1; i < oldChildren.length; i++) {
      const diff = -oldChildren[i].shift - currPos - oldChildren[i].elem.depth;
      const size = diff - (oldChildren[i - 1].elem.height + oldChildren[i - 1].elem.depth);
      currPos = currPos + diff;
      children.push({
        type: "kern",
        size
      });
      children.push(oldChildren[i]);
    }

    return {
      children,
      depth
    };
  }

  let depth;

  if (params.positionType === "top") {
    // We always start at the bottom, so calculate the bottom by adding up
    // all the sizes
    let bottom = params.positionData;

    for (let i = 0; i < params.children.length; i++) {
      const child = params.children[i];
      bottom -= child.type === "kern" ? child.size : child.elem.height + child.elem.depth;
    }

    depth = bottom;
  } else if (params.positionType === "bottom") {
    depth = -params.positionData;
  } else {
    const firstChild = params.children[0];

    if (firstChild.type !== "elem") {
      throw new Error('First child must have type "elem".');
    }

    if (params.positionType === "shift") {
      depth = -firstChild.elem.depth - params.positionData;
    } else if (params.positionType === "firstBaseline") {
      depth = -firstChild.elem.depth;
    } else {
      throw new Error(`Invalid positionType ${params.positionType}.`);
    }
  }

  return {
    children: params.children,
    depth
  };
};
/**
 * Makes a vertical list by stacking elements and kerns on top of each other.
 * Allows for many different ways of specifying the positioning method.
 *
 * See VListParam documentation above.
 */


const makeVList = function makeVList(params, options) {
  const _getVListChildrenAndD = getVListChildrenAndDepth(params),
        children = _getVListChildrenAndD.children,
        depth = _getVListChildrenAndD.depth; // Create a strut that is taller than any list item. The strut is added to
  // each item, where it will determine the item's baseline. Since it has
  // `overflow:hidden`, the strut's top edge will sit on the item's line box's
  // top edge and the strut's bottom edge will sit on the item's baseline,
  // with no additional line-height spacing. This allows the item baseline to
  // be positioned precisely without worrying about font ascent and
  // line-height.


  let pstrutSize = 0;

  for (let i = 0; i < children.length; i++) {
    const child = children[i];

    if (child.type === "elem") {
      const elem = child.elem;
      pstrutSize = Math.max(pstrutSize, elem.maxFontSize, elem.height);
    }
  }

  pstrutSize += 2;
  const pstrut = makeSpan(["pstrut"], []);
  pstrut.style.height = pstrutSize + "em"; // Create a new list of actual children at the correct offsets

  const realChildren = [];
  let minPos = depth;
  let maxPos = depth;
  let currPos = depth;

  for (let i = 0; i < children.length; i++) {
    const child = children[i];

    if (child.type === "kern") {
      currPos += child.size;
    } else {
      const elem = child.elem;
      const classes = child.wrapperClasses || [];
      const style = child.wrapperStyle || {};
      const childWrap = makeSpan(classes, [pstrut, elem], undefined, style);
      childWrap.style.top = -pstrutSize - currPos - elem.depth + "em";

      if (child.marginLeft) {
        childWrap.style.marginLeft = child.marginLeft;
      }

      if (child.marginRight) {
        childWrap.style.marginRight = child.marginRight;
      }

      realChildren.push(childWrap);
      currPos += elem.height + elem.depth;
    }

    minPos = Math.min(minPos, currPos);
    maxPos = Math.max(maxPos, currPos);
  } // The vlist contents go in a table-cell with `vertical-align:bottom`.
  // This cell's bottom edge will determine the containing table's baseline
  // without overly expanding the containing line-box.


  const vlist = makeSpan(["vlist"], realChildren);
  vlist.style.height = maxPos + "em"; // A second row is used if necessary to represent the vlist's depth.

  let rows;

  if (minPos < 0) {
    // We will define depth in an empty span with display: table-cell.
    // It should render with the height that we define. But Chrome, in
    // contenteditable mode only, treats that span as if it contains some
    // text content. And that min-height over-rides our desired height.
    // So we put another empty span inside the depth strut span.
    const emptySpan = makeSpan([], []);
    const depthStrut = makeSpan(["vlist"], [emptySpan]);
    depthStrut.style.height = -minPos + "em"; // Safari wants the first row to have inline content; otherwise it
    // puts the bottom of the *second* row on the baseline.

    const topStrut = makeSpan(["vlist-s"], [new SymbolNode("\u200b")]);
    rows = [makeSpan(["vlist-r"], [vlist, topStrut]), makeSpan(["vlist-r"], [depthStrut])];
  } else {
    rows = [makeSpan(["vlist-r"], [vlist])];
  }

  const vtable = makeSpan(["vlist-t"], rows);

  if (rows.length === 2) {
    vtable.classes.push("vlist-t2");
  }

  vtable.height = maxPos;
  vtable.depth = -minPos;
  return vtable;
}; // Glue is a concept from TeX which is a flexible space between elements in
// either a vertical or horizontal list. In KaTeX, at least for now, it's
// static space between elements in a horizontal layout.


const makeGlue = (measurement, options) => {
  // Make an empty span for the space
  const rule = makeSpan(["mspace"], [], options);
  const size = calculateSize(measurement, options);
  rule.style.marginRight = `${size}em`;
  return rule;
}; // Takes font options, and returns the appropriate fontLookup name


const retrieveTextFontName = function retrieveTextFontName(fontFamily, fontWeight, fontShape) {
  let baseFontName = "";

  switch (fontFamily) {
    case "amsrm":
      baseFontName = "AMS";
      break;

    case "textrm":
      baseFontName = "Main";
      break;

    case "textsf":
      baseFontName = "SansSerif";
      break;

    case "texttt":
      baseFontName = "Typewriter";
      break;

    default:
      baseFontName = fontFamily;
    // use fonts added by a plugin
  }

  let fontStylesName;

  if (fontWeight === "textbf" && fontShape === "textit") {
    fontStylesName = "BoldItalic";
  } else if (fontWeight === "textbf") {
    fontStylesName = "Bold";
  } else if (fontWeight === "textit") {
    fontStylesName = "Italic";
  } else {
    fontStylesName = "Regular";
  }

  return `${baseFontName}-${fontStylesName}`;
};
/**
 * 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


const fontMap = {
  // styles
  "mathbf": {
    variant: "bold",
    fontName: "Main-Bold"
  },
  "mathrm": {
    variant: "normal",
    fontName: "Main-Regular"
  },
  "textit": {
    variant: "italic",
    fontName: "Main-Italic"
  },
  "mathit": {
    variant: "italic",
    fontName: "Main-Italic"
  },
  "mathnormal": {
    variant: "italic",
    fontName: "Math-Italic"
  },
  // "boldsymbol" is missing because they require the use of multiple fonts:
  // Math-BoldItalic and Main-Bold.  This is handled by a special case in
  // makeOrd which ends up calling boldsymbol.
  // 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"
  }
};
const svgData = {
  //   path, width, height
  vec: ["vec", 0.471, 0.714],
  // values from the font glyph
  oiintSize1: ["oiintSize1", 0.957, 0.499],
  // oval to overlay the integrand
  oiintSize2: ["oiintSize2", 1.472, 0.659],
  oiiintSize1: ["oiiintSize1", 1.304, 0.499],
  oiiintSize2: ["oiiintSize2", 1.98, 0.659],
  leftParenInner: ["leftParenInner", 0.875, 0.3],
  rightParenInner: ["rightParenInner", 0.875, 0.3]
};

const staticSvg = function staticSvg(value, options) {
  // Create a span with inline SVG for the element.
  const _svgData$value = svgData[value],
        pathName = _svgData$value[0],
        width = _svgData$value[1],
        height = _svgData$value[2];
  const path = new PathNode(pathName);
  const svgNode = new SvgNode([path], {
    "width": width + "em",
    "height": height + "em",
    // Override CSS rule `.katex svg { width: 100% }`
    "style": "width:" + width + "em",
    "viewBox": "0 0 " + 1000 * width + " " + 1000 * height,
    "preserveAspectRatio": "xMinYMin"
  });
  const span = makeSvgSpan(["overlay"], [svgNode], options);
  span.height = height;
  span.style.height = height + "em";
  span.style.width = width + "em";
  return span;
};

var buildCommon = {
  fontMap,
  makeSymbol,
  mathsym,
  makeSpan,
  makeSvgSpan,
  makeLineSpan,
  makeAnchor,
  makeFragment,
  wrapFragment,
  makeVList,
  makeOrd,
  makeGlue,
  staticSvg,
  svgData,
  tryCombineChars
};

/**
 * Describes spaces between different classes of atoms.
 */
const thinspace = {
  number: 3,
  unit: "mu"
};
const mediumspace = {
  number: 4,
  unit: "mu"
};
const thickspace = {
  number: 5,
  unit: "mu"
}; // Making the type below exact with all optional fields doesn't work due to
// - https://github.com/facebook/flow/issues/4582
// - https://github.com/facebook/flow/issues/5688
// However, since *all* fields are optional, $Shape<> works as suggested in 5688
// above.

// Spacing relationships for display and text styles
const spacings = {
  mord: {
    mop: thinspace,
    mbin: mediumspace,
    mrel: thickspace,
    minner: thinspace
  },
  mop: {
    mord: thinspace,
    mop: thinspace,
    mrel: thickspace,
    minner: thinspace
  },
  mbin: {
    mord: mediumspace,
    mop: mediumspace,
    mopen: mediumspace,
    minner: mediumspace
  },
  mrel: {
    mord: thickspace,
    mop: thickspace,
    mopen: thickspace,
    minner: thickspace
  },
  mopen: {},
  mclose: {
    mop: thinspace,
    mbin: mediumspace,
    mrel: thickspace,
    minner: thinspace
  },
  mpunct: {
    mord: thinspace,
    mop: thinspace,
    mrel: thickspace,
    mopen: thinspace,
    mclose: thinspace,
    mpunct: thinspace,
    minner: thinspace
  },
  minner: {
    mord: thinspace,
    mop: thinspace,
    mbin: mediumspace,
    mrel: thickspace,
    mopen: thinspace,
    mpunct: thinspace,
    minner: thinspace
  }
}; // Spacing relationships for script and scriptscript styles

const tightSpacings = {
  mord: {
    mop: thinspace
  },
  mop: {
    mord: thinspace,
    mop: thinspace
  },
  mbin: {},
  mrel: {},
  mopen: {},
  mclose: {
    mop: thinspace
  },
  mpunct: {},
  minner: {
    mop: thinspace
  }
};

/** Context provided to function handlers for error messages. */
// Note: reverse the order of the return type union will cause a flow error.
// See https://github.com/facebook/flow/issues/3663.
// More general version of `HtmlBuilder` for nodes (e.g. \sum, accent types)
// whose presence impacts super/subscripting. In this case, ParseNode<"supsub">
// delegates its HTML building to the HtmlBuilder corresponding to these nodes.

/**
 * Final function spec for use at parse time.
 * This is almost identical to `FunctionPropSpec`, except it
 * 1. includes the function handler, and
 * 2. requires all arguments except argTypes.
 * It is generated by `defineFunction()` below.
 */

/**
 * All registered functions.
 * `functions.js` just exports this same dictionary again and makes it public.
 * `Parser.js` requires this dictionary.
 */
const _functions = {};
/**
 * All HTML builders. Should be only used in the `define*` and the `build*ML`
 * functions.
 */

const _htmlGroupBuilders = {};
/**
 * All MathML builders. Should be only used in the `define*` and the `build*ML`
 * functions.
 */

const _mathmlGroupBuilders = {};
function defineFunction(_ref) {
  let type = _ref.type,
      names = _ref.names,
      props = _ref.props,
      handler = _ref.handler,
      htmlBuilder = _ref.htmlBuilder,
      mathmlBuilder = _ref.mathmlBuilder;
  // Set default values of functions
  const data = {
    type,
    numArgs: props.numArgs,
    argTypes: props.argTypes,
    greediness: props.greediness === undefined ? 1 : props.greediness,
    allowedInText: !!props.allowedInText,
    allowedInMath: props.allowedInMath === undefined ? true : props.allowedInMath,
    numOptionalArgs: props.numOptionalArgs || 0,
    infix: !!props.infix,
    handler: handler
  };

  for (let i = 0; i < names.length; ++i) {
    _functions[names[i]] = data;
  }

  if (type) {
    if (htmlBuilder) {
      _htmlGroupBuilders[type] = htmlBuilder;
    }

    if (mathmlBuilder) {
      _mathmlGroupBuilders[type] = mathmlBuilder;
    }
  }
}
/**
 * Use this to register only the HTML and MathML builders for a function (e.g.
 * if the function's ParseNode is generated in Parser.js rather than via a
 * stand-alone handler provided to `defineFunction`).
 */

function defineFunctionBuilders(_ref2) {
  let type = _ref2.type,
      htmlBuilder = _ref2.htmlBuilder,
      mathmlBuilder = _ref2.mathmlBuilder;
  defineFunction({
    type,
    names: [],
    props: {
      numArgs: 0
    },

    handler() {
      throw new Error('Should never be called.');
    },

    htmlBuilder,
    mathmlBuilder
  });
} // Since the corresponding buildHTML/buildMathML function expects a
// list of elements, we normalize for different kinds of arguments

const ordargument = function ordargument(arg) {
  return arg.type === "ordgroup" ? arg.body : [arg];
};

/**
 * 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 groupBuilders functions
 * are called, to produce a final HTML tree.
 */
const makeSpan$1 = buildCommon.makeSpan; // Binary atoms (first class `mbin`) change into ordinary atoms (`mord`)
// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6,
// and the text before Rule 19.

const binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
const binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
const styleMap = {
  "display": Style$1.DISPLAY,
  "text": Style$1.TEXT,
  "script": Style$1.SCRIPT,
  "scriptscript": Style$1.SCRIPTSCRIPT
};
const DomEnum = {
  mord: "mord",
  mop: "mop",
  mbin: "mbin",
  mrel: "mrel",
  mopen: "mopen",
  mclose: "mclose",
  mpunct: "mpunct",
  minner: "minner"
};

/**
 * Take a list of nodes, build them in order, and return a list of the built
 * nodes. documentFragments are flattened into their contents, so the
 * returned list contains no fragments. `isRealGroup` is true if `expression`
 * is a real group (no atoms will be added on either side), as opposed to
 * a partial group (e.g. one created by \color). `surrounding` is an array
 * consisting type of nodes that will be added to the left and right.
 */
const buildExpression = function buildExpression(expression, options, isRealGroup, surrounding) {
  if (surrounding === void 0) {
    surrounding = [null, null];
  }

  // Parse expressions into `groups`.
  const groups = [];

  for (let i = 0; i < expression.length; i++) {
    const output = buildGroup(expression[i], options);

    if (output instanceof DocumentFragment) {
      const children = output.children;
      groups.push(...children);
    } else {
      groups.push(output);
    }
  } // If `expression` is a partial group, let the parent handle spacings
  // to avoid processing groups multiple times.


  if (!isRealGroup) {
    return groups;
  }

  let glueOptions = options;

  if (expression.length === 1) {
    const node = expression[0];

    if (node.type === "sizing") {
      glueOptions = options.havingSize(node.size);
    } else if (node.type === "styling") {
      glueOptions = options.havingStyle(styleMap[node.style]);
    }
  } // Dummy spans for determining spacings between surrounding atoms.
  // If `expression` has no atoms on the left or right, class "leftmost"
  // or "rightmost", respectively, is used to indicate it.


  const dummyPrev = makeSpan$1([surrounding[0] || "leftmost"], [], options);
  const dummyNext = makeSpan$1([surrounding[1] || "rightmost"], [], options); // TODO: These code assumes that a node's math class is the first element
  // of its `classes` array. A later cleanup should ensure this, for
  // instance by changing the signature of `makeSpan`.
  // Before determining what spaces to insert, perform bin cancellation.
  // Binary operators change to ordinary symbols in some contexts.

  const isRoot = isRealGroup === "root";
  traverseNonSpaceNodes(groups, (node, prev) => {
    const prevType = prev.classes[0];
    const type = node.classes[0];

    if (prevType === "mbin" && utils.contains(binRightCanceller, type)) {
      prev.classes[0] = "mord";
    } else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) {
      node.classes[0] = "mord";
    }
  }, {
    node: dummyPrev
  }, dummyNext, isRoot);
  traverseNonSpaceNodes(groups, (node, prev) => {
    const prevType = getTypeOfDomTree(prev);
    const type = getTypeOfDomTree(node); // 'mtight' indicates that the node is script or scriptscript style.

    const space = prevType && type ? node.hasClass("mtight") ? tightSpacings[prevType][type] : spacings[prevType][type] : null;

    if (space) {
      // Insert glue (spacing) after the `prev`.
      return buildCommon.makeGlue(space, glueOptions);
    }
  }, {
    node: dummyPrev
  }, dummyNext, isRoot);
  return groups;
}; // Depth-first traverse non-space `nodes`, calling `callback` with the current and
// previous node as arguments, optionally returning a node to insert after the
// previous node. `prev` is an object with the previous node and `insertAfter`
// function to insert after it. `next` is a node that will be added to the right.
// Used for bin cancellation and inserting spacings.

const traverseNonSpaceNodes = function traverseNonSpaceNodes(nodes, callback, prev, next, isRoot) {
  if (next) {
    // temporarily append the right node, if exists
    nodes.push(next);
  }

  let i = 0;

  for (; i < nodes.length; i++) {
    const node = nodes[i];
    const partialGroup = checkPartialGroup(node);

    if (partialGroup) {
      // Recursive DFS
      // $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array
      traverseNonSpaceNodes(partialGroup.children, callback, prev, null, isRoot);
      continue;
    } // Ignore explicit spaces (e.g., \;, \,) when determining what implicit
    // spacing should go between atoms of different classes


    const nonspace = !node.hasClass("mspace");

    if (nonspace) {
      const result = callback(node, prev.node);

      if (result) {
        if (prev.insertAfter) {
          prev.insertAfter(result);
        } else {
          // insert at front
          nodes.unshift(result);
          i++;
        }
      }
    }

    if (nonspace) {
      prev.node = node;
    } else if (isRoot && node.hasClass("newline")) {
      prev.node = makeSpan$1(["leftmost"]); // treat like beginning of line
    }

    prev.insertAfter = (index => n => {
      nodes.splice(index + 1, 0, n);
      i++;
    })(i);
  }

  if (next) {
    nodes.pop();
  }
}; // Check if given node is a partial group, i.e., does not affect spacing around.


const checkPartialGroup = function checkPartialGroup(node) {
  if (node instanceof DocumentFragment || node instanceof Anchor || node instanceof Span && node.hasClass("enclosing")) {
    return node;
  }

  return null;
}; // Return the outermost node of a domTree.


const getOutermostNode = function getOutermostNode(node, side) {
  const partialGroup = checkPartialGroup(node);

  if (partialGroup) {
    const children = partialGroup.children;

    if (children.length) {
      if (side === "right") {
        return getOutermostNode(children[children.length - 1], "right");
      } else if (side === "left") {
        return getOutermostNode(children[0], "left");
      }
    }
  }

  return node;
}; // Return math atom class (mclass) of a domTree.
// If `side` is given, it will get the type of the outermost node at given side.


const getTypeOfDomTree = function getTypeOfDomTree(node, side) {
  if (!node) {
    return null;
  }

  if (side) {
    node = getOutermostNode(node, side);
  } // This makes a lot of assumptions as to where the type of atom
  // appears.  We should do a better job of enforcing this.


  return DomEnum[node.classes[0]] || null;
};
const makeNullDelimiter = function makeNullDelimiter(options, classes) {
  const moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses());
  return makeSpan$1(classes.concat(moreClasses));
};
/**
 * 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.
 */

const buildGroup = function buildGroup(group, options, baseOptions) {
  if (!group) {
    return makeSpan$1();
  }

  if (_htmlGroupBuilders[group.type]) {
    // Call the groupBuilders function
    let groupNode = _htmlGroupBuilders[group.type](group, options); // If the size changed between the parent and the current group, account
    // for that size difference.

    if (baseOptions && options.size !== baseOptions.size) {
      groupNode = makeSpan$1(options.sizingClasses(baseOptions), [groupNode], options);
      const multiplier = options.sizeMultiplier / baseOptions.sizeMultiplier;
      groupNode.height *= multiplier;
      groupNode.depth *= multiplier;
    }

    return groupNode;
  } else {
    throw new ParseError("Got group of unknown type: '" + group.type + "'");
  }
};
/**
 * Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`)
 * into an unbreakable HTML node of class .base, with proper struts to
 * guarantee correct vertical extent.  `buildHTML` calls this repeatedly to
 * make up the entire expression as a sequence of unbreakable units.
 */

function buildHTMLUnbreakable(children, options) {
  // Compute height and depth of this chunk.
  const body = makeSpan$1(["base"], children, options); // Add strut, which ensures 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.

  const strut = makeSpan$1(["strut"]);
  strut.style.height = body.height + body.depth + "em";
  strut.style.verticalAlign = -body.depth + "em";
  body.children.unshift(strut);
  return body;
}
/**
 * Take an entire parse tree, and build it into an appropriate set of HTML
 * nodes.
 */


function buildHTML(tree, options) {
  // Strip off outer tag wrapper for processing below.
  let tag = null;

  if (tree.length === 1 && tree[0].type === "tag") {
    tag = tree[0].tag;
    tree = tree[0].body;
  } // Build the expression contained in the tree


  const expression = buildExpression(tree, options, "root");
  const children = []; // Create one base node for each chunk between potential line breaks.
  // The TeXBook [p.173] says "A formula will be broken only after a
  // relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary
  // operation symbol like $+$ or $-$ or $\times$, where the relation or
  // binary operation is on the ``outer level'' of the formula (i.e., not
  // enclosed in {...} and not part of an \over construction)."

  let parts = [];

  for (let i = 0; i < expression.length; i++) {
    parts.push(expression[i]);

    if (expression[i].hasClass("mbin") || expression[i].hasClass("mrel") || expression[i].hasClass("allowbreak")) {
      // Put any post-operator glue on same line as operator.
      // Watch for \nobreak along the way, and stop at \newline.
      let nobreak = false;

      while (i < expression.length - 1 && expression[i + 1].hasClass("mspace") && !expression[i + 1].hasClass("newline")) {
        i++;
        parts.push(expression[i]);

        if (expression[i].hasClass("nobreak")) {
          nobreak = true;
        }
      } // Don't allow break if \nobreak among the post-operator glue.


      if (!nobreak) {
        children.push(buildHTMLUnbreakable(parts, options));
        parts = [];
      }
    } else if (expression[i].hasClass("newline")) {
      // Write the line except the newline
      parts.pop();

      if (parts.length > 0) {
        children.push(buildHTMLUnbreakable(parts, options));
        parts = [];
      } // Put the newline at the top level


      children.push(expression[i]);
    }
  }

  if (parts.length > 0) {
    children.push(buildHTMLUnbreakable(parts, options));
  } // Now, if there was a tag, build it too and append it as a final child.


  let tagChild;

  if (tag) {
    tagChild = buildHTMLUnbreakable(buildExpression(tag, options, true));
    tagChild.classes = ["tag"];
    children.push(tagChild);
  }

  const htmlNode = makeSpan$1(["katex-html"], children);
  htmlNode.setAttribute("aria-hidden", "true"); // Adjust the strut of the tag to be the maximum height of all children
  // (the height of the enclosing htmlNode) for proper vertical alignment.

  if (tagChild) {
    const strut = tagChild.children[0];
    strut.style.height = htmlNode.height + htmlNode.depth + "em";
    strut.style.verticalAlign = -htmlNode.depth + "em";
  }

  return htmlNode;
}

/**
 * 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.
 */
function newDocumentFragment(children) {
  return new DocumentFragment(children);
}
/**
 * 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).
 */

class MathNode {
  constructor(type, children) {
    this.type = void 0;
    this.attributes = void 0;
    this.children = void 0;
    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.
   */


  setAttribute(name, value) {
    this.attributes[name] = value;
  }
  /**
   * Gets an attribute on a MathML node.
   */


  getAttribute(name) {
    return this.attributes[name];
  }
  /**
   * Converts the math node into a MathML-namespaced DOM element.
   */


  toNode() {
    const node = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);

    for (const attr in this.attributes) {
      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
        node.setAttribute(attr, this.attributes[attr]);
      }
    }

    for (let i = 0; i < this.children.length; i++) {
      node.appendChild(this.children[i].toNode());
    }

    return node;
  }
  /**
   * Converts the math node into an HTML markup string.
   */


  toMarkup() {
    let markup = "<" + this.type; // Add the attributes

    for (const attr in this.attributes) {
      if (Object.prototype.hasOwnProperty.call(this.attributes, attr)) {
        markup += " " + attr + "=\"";
        markup += utils.escape(this.attributes[attr]);
        markup += "\"";
      }
    }

    markup += ">";

    for (let i = 0; i < this.children.length; i++) {
      markup += this.children[i].toMarkup();
    }

    markup += "</" + this.type + ">";
    return markup;
  }
  /**
   * Converts the math node into a string, similar to innerText, but escaped.
   */


  toText() {
    return this.children.map(child => child.toText()).join("");
  }

}
/**
 * This node represents a piece of text.
 */

class TextNode {
  constructor(text) {
    this.text = void 0;
    this.text = text;
  }
  /**
   * Converts the text node into a DOM text node.
   */


  toNode() {
    return document.createTextNode(this.text);
  }
  /**
   * Converts the text node into escaped HTML markup
   * (representing the text itself).
   */


  toMarkup() {
    return utils.escape(this.toText());
  }
  /**
   * Converts the text node into a string
   * (representing the text iteself).
   */


  toText() {
    return this.text;
  }

}
/**
 * This node represents a space, but may render as <mspace.../> or as text,
 * depending on the width.
 */

class SpaceNode {
  /**
   * Create a Space node with width given in CSS ems.
   */
  constructor(width) {
    this.width = void 0;
    this.character = void 0;
    this.width = width; // See https://www.w3.org/TR/2000/WD-MathML2-20000328/chapter6.html
    // for a table of space-like characters.  We use Unicode
    // representations instead of &LongNames; as it's not clear how to
    // make the latter via document.createTextNode.

    if (width >= 0.05555 && width <= 0.05556) {
      this.character = "\u200a"; // &VeryThinSpace;
    } else if (width >= 0.1666 && width <= 0.1667) {
      this.character = "\u2009"; // &ThinSpace;
    } else if (width >= 0.2222 && width <= 0.2223) {
      this.character = "\u2005"; // &MediumSpace;
    } else if (width >= 0.2777 && width <= 0.2778) {
      this.character = "\u2005\u200a"; // &ThickSpace;
    } else if (width >= -0.05556 && width <= -0.05555) {
      this.character = "\u200a\u2063"; // &NegativeVeryThinSpace;
    } else if (width >= -0.1667 && width <= -0.1666) {
      this.character = "\u2009\u2063"; // &NegativeThinSpace;
    } else if (width >= -0.2223 && width <= -0.2222) {
      this.character = "\u205f\u2063"; // &NegativeMediumSpace;
    } else if (width >= -0.2778 && width <= -0.2777) {
      this.character = "\u2005\u2063"; // &NegativeThickSpace;
    } else {
      this.character = null;
    }
  }
  /**
   * Converts the math node into a MathML-namespaced DOM element.
   */


  toNode() {
    if (this.character) {
      return document.createTextNode(this.character);
    } else {
      const node = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
      node.setAttribute("width", this.width + "em");
      return node;
    }
  }
  /**
   * Converts the math node into an HTML markup string.
   */


  toMarkup() {
    if (this.character) {
      return `<mtext>${this.character}</mtext>`;
    } else {
      return `<mspace width="${this.width}em"/>`;
    }
  }
  /**
   * Converts the math node into a string, similar to innerText.
   */


  toText() {
    if (this.character) {
      return this.character;
    } else {
      return " ";
    }
  }

}

var mathMLTree = {
  MathNode,
  TextNode,
  SpaceNode,
  newDocumentFragment
};

/**
 * 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.
 */

/**
 * Takes a symbol and converts it into a MathML text node after performing
 * optional replacement from symbols.js.
 */
const makeText = function makeText(text, mode, options) {
  if (symbols[mode][text] && symbols[mode][text].replace && text.charCodeAt(0) !== 0xD835 && !(ligatures.hasOwnProperty(text) && options && (options.fontFamily && options.fontFamily.substr(4, 2) === "tt" || options.font && options.font.substr(4, 2) === "tt"))) {
    text = symbols[mode][text].replace;
  }

  return new mathMLTree.TextNode(text);
};
/**
 * Wrap the given array of nodes in an <mrow> node if needed, i.e.,
 * unless the array has length 1.  Always returns a single node.
 */

const makeRow = function makeRow(body) {
  if (body.length === 1) {
    return body[0];
  } else {
    return new mathMLTree.MathNode("mrow", body);
  }
};
/**
 * Returns the math variant as a string or null if none is required.
 */

const getVariant = function getVariant(group, options) {
  // Handle \text... font specifiers as best we can.
  // MathML has a limited list of allowable mathvariant specifiers; see
  // https://www.w3.org/TR/MathML3/chapter3.html#presm.commatt
  if (options.fontFamily === "texttt") {
    return "monospace";
  } else if (options.fontFamily === "textsf") {
    if (options.fontShape === "textit" && options.fontWeight === "textbf") {
      return "sans-serif-bold-italic";
    } else if (options.fontShape === "textit") {
      return "sans-serif-italic";
    } else if (options.fontWeight === "textbf") {
      return "bold-sans-serif";
    } else {
      return "sans-serif";
    }
  } else if (options.fontShape === "textit" && options.fontWeight === "textbf") {
    return "bold-italic";
  } else if (options.fontShape === "textit") {
    return "italic";
  } else if (options.fontWeight === "textbf") {
    return "bold";
  }

  const font = options.font;

  if (!font || font === "mathnormal") {
    return null;
  }

  const mode = group.mode;

  if (font === "mathit") {
    return "italic";
  } else if (font === "boldsymbol") {
    return group.type === "textord" ? "bold" : "bold-italic";
  } else if (font === "mathbf") {
    return "bold";
  } else if (font === "mathbb") {
    return "double-struck";
  } else if (font === "mathfrak") {
    return "fraktur";
  } else if (font === "mathscr" || font === "mathcal") {
    // MathML makes no distinction between script and caligrahpic
    return "script";
  } else if (font === "mathsf") {
    return "sans-serif";
  } else if (font === "mathtt") {
    return "monospace";
  }

  let text = group.text;

  if (utils.contains(["\\imath", "\\jmath"], text)) {
    return null;
  }

  if (symbols[mode][text] && symbols[mode][text].replace) {
    text = symbols[mode][text].replace;
  }

  const fontName = buildCommon.fontMap[font].fontName;

  if (getCharacterMetrics(text, fontName, mode)) {
    return buildCommon.fontMap[font].variant;
  }

  return null;
};
/**
 * Takes a list of nodes, builds them, and returns a list of the generated
 * MathML nodes.  Also combine consecutive <mtext> outputs into a single
 * <mtext> tag.
 */

const buildExpression$1 = function buildExpression(expression, options, isOrdgroup) {
  if (expression.length === 1) {
    const group = buildGroup$1(expression[0], options);

    if (isOrdgroup && group instanceof MathNode && group.type === "mo") {
      // When TeX writers want to suppress spacing on an operator,
      // they often put the operator by itself inside braces.
      group.setAttribute("lspace", "0em");
      group.setAttribute("rspace", "0em");
    }

    return [group];
  }

  const groups = [];
  let lastGroup;

  for (let i = 0; i < expression.length; i++) {
    const group = buildGroup$1(expression[i], options);

    if (group instanceof MathNode && lastGroup instanceof MathNode) {
      // Concatenate adjacent <mtext>s
      if (group.type === 'mtext' && lastGroup.type === 'mtext' && group.getAttribute('mathvariant') === lastGroup.getAttribute('mathvariant')) {
        lastGroup.children.push(...group.children);
        continue; // Concatenate adjacent <mn>s
      } else if (group.type === 'mn' && lastGroup.type === 'mn') {
        lastGroup.children.push(...group.children);
        continue; // Concatenate <mn>...</mn> followed by <mi>.</mi>
      } else if (group.type === 'mi' && group.children.length === 1 && lastGroup.type === 'mn') {
        const child = group.children[0];

        if (child instanceof TextNode && child.text === '.') {
          lastGroup.children.push(...group.children);
          continue;
        }
      } else if (lastGroup.type === 'mi' && lastGroup.children.length === 1) {
        const lastChild = lastGroup.children[0];

        if (lastChild instanceof TextNode && lastChild.text === '\u0338' && (group.type === 'mo' || group.type === 'mi' || group.type === 'mn')) {
          const child = group.children[0];

          if (child instanceof TextNode && child.text.length > 0) {
            // Overlay with combining character long solidus
            child.text = child.text.slice(0, 1) + "\u0338" + child.text.slice(1);
            groups.pop();
          }
        }
      }
    }

    groups.push(group);
    lastGroup = group;
  }

  return groups;
};
/**
 * Equivalent to buildExpression, but wraps the elements in an <mrow>
 * if there's more than one.  Returns a single node instead of an array.
 */

const buildExpressionRow = function buildExpressionRow(expression, options, isOrdgroup) {
  return makeRow(buildExpression$1(expression, options, isOrdgroup));
};
/**
 * Takes a group from the parser and calls the appropriate groupBuilders function
 * on it to produce a MathML node.
 */

const buildGroup$1 = function buildGroup(group, options) {
  if (!group) {
    return new mathMLTree.MathNode("mrow");
  }

  if (_mathmlGroupBuilders[group.type]) {
    // Call the groupBuilders function
    const result = _mathmlGroupBuilders[group.type](group, options);
    return result;
  } 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.
 */

function buildMathML(tree, texExpression, options, isDisplayMode, forMathmlOnly) {
  const expression = buildExpression$1(tree, options); // Wrap up the expression in an mrow so it is presented in the semantics
  // tag correctly, unless it's a single <mrow> or <mtable>.

  let wrapper;

  if (expression.length === 1 && expression[0] instanceof MathNode && utils.contains(["mrow", "mtable"], expression[0].type)) {
    wrapper = expression[0];
  } else {
    wrapper = new mathMLTree.MathNode("mrow", expression);
  } // Build a TeX annotation of the source


  const annotation = new mathMLTree.MathNode("annotation", [new mathMLTree.TextNode(texExpression)]);
  annotation.setAttribute("encoding", "application/x-tex");
  const semantics = new mathMLTree.MathNode("semantics", [wrapper, annotation]);
  const math = new mathMLTree.MathNode("math", [semantics]);
  math.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML");

  if (isDisplayMode) {
    math.setAttribute("display", "block");
  } // You can't style <math> nodes, so we wrap the node in a span.
  // NOTE: The span class is not typed to have <math> nodes as children, and
  // we don't want to make the children type more generic since the children
  // of span are expected to have more fields in `buildHtml` contexts.


  const wrapperClass = forMathmlOnly ? "katex" : "katex-mathml"; // $FlowFixMe

  return buildCommon.makeSpan([wrapperClass], [math]);
}

const optionsFromSettings = function optionsFromSettings(settings) {
  return new Options({
    style: settings.displayMode ? Style$1.DISPLAY : Style$1.TEXT,
    maxSize: settings.maxSize,
    minRuleThickness: settings.minRuleThickness
  });
};

const displayWrap = function displayWrap(node, settings) {
  if (settings.displayMode) {
    const classes = ["katex-display"];

    if (settings.leqno) {
      classes.push("leqno");
    }

    if (settings.fleqn) {
      classes.push("fleqn");
    }

    node = buildCommon.makeSpan(classes, [node]);
  }

  return node;
};

const buildTree = function buildTree(tree, expression, settings) {
  const options = optionsFromSettings(settings);
  let katexNode;

  if (settings.output === "mathml") {
    return buildMathML(tree, expression, options, settings.displayMode, true);
  } else if (settings.output === "html") {
    const htmlNode = buildHTML(tree, options);
    katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
  } else {
    const mathMLNode = buildMathML(tree, expression, options, settings.displayMode, false);
    const htmlNode = buildHTML(tree, options);
    katexNode = buildCommon.makeSpan(["katex"], [mathMLNode, htmlNode]);
  }

  return displayWrap(katexNode, settings);
};
const buildHTMLTree = function buildHTMLTree(tree, expression, settings) {
  const options = optionsFromSettings(settings);
  const htmlNode = buildHTML(tree, options);
  const katexNode = buildCommon.makeSpan(["katex"], [htmlNode]);
  return displayWrap(katexNode, settings);
};

/**
 * This file provides support to buildMathML.js and buildHTML.js
 * for stretchy wide elements rendered from SVG files
 * and other CSS trickery.
 */
const stretchyCodePoint = {
  widehat: "^",
  widecheck: "ˇ",
  widetilde: "~",
  utilde: "~",
  overleftarrow: "\u2190",
  underleftarrow: "\u2190",
  xleftarrow: "\u2190",
  overrightarrow: "\u2192",
  underrightarrow: "\u2192",
  xrightarrow: "\u2192",
  underbrace: "\u23df",
  overbrace: "\u23de",
  overgroup: "\u23e0",
  undergroup: "\u23e1",
  overleftrightarrow: "\u2194",
  underleftrightarrow: "\u2194",
  xleftrightarrow: "\u2194",
  Overrightarrow: "\u21d2",
  xRightarrow: "\u21d2",
  overleftharpoon: "\u21bc",
  xleftharpoonup: "\u21bc",
  overrightharpoon: "\u21c0",
  xrightharpoonup: "\u21c0",
  xLeftarrow: "\u21d0",
  xLeftrightarrow: "\u21d4",
  xhookleftarrow: "\u21a9",
  xhookrightarrow: "\u21aa",
  xmapsto: "\u21a6",
  xrightharpoondown: "\u21c1",
  xleftharpoondown: "\u21bd",
  xrightleftharpoons: "\u21cc",
  xleftrightharpoons: "\u21cb",
  xtwoheadleftarrow: "\u219e",
  xtwoheadrightarrow: "\u21a0",
  xlongequal: "=",
  xtofrom: "\u21c4",
  xrightleftarrows: "\u21c4",
  xrightequilibrium: "\u21cc",
  // Not a perfect match.
  xleftequilibrium: "\u21cb" // None better available.

};

const mathMLnode = function mathMLnode(label) {
  const node = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(stretchyCodePoint[label.substr(1)])]);
  node.setAttribute("stretchy", "true");
  return node;
}; // Many of the KaTeX SVG images have been adapted from glyphs in KaTeX fonts.
// Copyright (c) 2009-2010, Design Science, Inc. (<www.mathjax.org>)
// Copyright (c) 2014-2017 Khan Academy (<www.khanacademy.org>)
// Licensed under the SIL Open Font License, Version 1.1.
// See \nhttp://scripts.sil.org/OFL
// Very Long SVGs
//    Many of the KaTeX stretchy wide elements use a long SVG image and an
//    overflow: hidden tactic to achieve a stretchy image while avoiding
//    distortion of arrowheads or brace corners.
//    The SVG typically contains a very long (400 em) arrow.
//    The SVG is in a container span that has overflow: hidden, so the span
//    acts like a window that exposes only part of the  SVG.
//    The SVG always has a longer, thinner aspect ratio than the container span.
//    After the SVG fills 100% of the height of the container span,
//    there is a long arrow shaft left over. That left-over shaft is not shown.
//    Instead, it is sliced off because the span's CSS has overflow: hidden.
//    Thus, the reader sees an arrow that matches the subject matter width
//    without distortion.
//    Some functions, such as \cancel, need to vary their aspect ratio. These
//    functions do not get the overflow SVG treatment.
// Second Brush Stroke
//    Low resolution monitors struggle to display images in fine detail.
//    So browsers apply anti-aliasing. A long straight arrow shaft therefore
//    will sometimes appear as if it has a blurred edge.
//    To mitigate this, these SVG files contain a second "brush-stroke" on the
//    arrow shafts. That is, a second long thin rectangular SVG path has been
//    written directly on top of each arrow shaft. This reinforcement causes
//    some of the screen pixels to display as black instead of the anti-aliased
//    gray pixel that a  single path would generate. So we get arrow shafts
//    whose edges appear to be sharper.
// In the katexImagesData object just below, the dimensions all
// correspond to path geometry inside the relevant SVG.
// For example, \overrightarrow uses the same arrowhead as glyph U+2192
// from the KaTeX Main font. The scaling factor is 1000.
// That is, inside the font, that arrowhead is 522 units tall, which
// corresponds to 0.522 em inside the document.


const katexImagesData = {
  //   path(s), minWidth, height, align
  overrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
  overleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
  underrightarrow: [["rightarrow"], 0.888, 522, "xMaxYMin"],
  underleftarrow: [["leftarrow"], 0.888, 522, "xMinYMin"],
  xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"],
  xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"],
  Overrightarrow: [["doublerightarrow"], 0.888, 560, "xMaxYMin"],
  xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"],
  xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"],
  overleftharpoon: [["leftharpoon"], 0.888, 522, "xMinYMin"],
  xleftharpoonup: [["leftharpoon"], 0.888, 522, "xMinYMin"],
  xleftharpoondown: [["leftharpoondown"], 0.888, 522, "xMinYMin"],
  overrightharpoon: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
  xrightharpoonup: [["rightharpoon"], 0.888, 522, "xMaxYMin"],
  xrightharpoondown: [["rightharpoondown"], 0.888, 522, "xMaxYMin"],
  xlongequal: [["longequal"], 0.888, 334, "xMinYMin"],
  xtwoheadleftarrow: [["twoheadleftarrow"], 0.888, 334, "xMinYMin"],
  xtwoheadrightarrow: [["twoheadrightarrow"], 0.888, 334, "xMaxYMin"],
  overleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
  overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548],
  underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548],
  underleftrightarrow: [["leftarrow", "rightarrow"], 0.888, 522],
  xleftrightarrow: [["leftarrow", "rightarrow"], 1.75, 522],
  xLeftrightarrow: [["doubleleftarrow", "doublerightarrow"], 1.75, 560],
  xrightleftharpoons: [["leftharpoondownplus", "rightharpoonplus"], 1.75, 716],
  xleftrightharpoons: [["leftharpoonplus", "rightharpoondownplus"], 1.75, 716],
  xhookleftarrow: [["leftarrow", "righthook"], 1.08, 522],
  xhookrightarrow: [["lefthook", "rightarrow"], 1.08, 522],
  overlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
  underlinesegment: [["leftlinesegment", "rightlinesegment"], 0.888, 522],
  overgroup: [["leftgroup", "rightgroup"], 0.888, 342],
  undergroup: [["leftgroupunder", "rightgroupunder"], 0.888, 342],
  xmapsto: [["leftmapsto", "rightarrow"], 1.5, 522],
  xtofrom: [["leftToFrom", "rightToFrom"], 1.75, 528],
  // The next three arrows are from the mhchem package.
  // In mhchem.sty, min-length is 2.0em. But these arrows might appear in the
  // document as \xrightarrow or \xrightleftharpoons. Those have
  // min-length = 1.75em, so we set min-length on these next three to match.
  xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
  xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
  xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716]
};

const groupLength = function groupLength(arg) {
  if (arg.type === "ordgroup") {
    return arg.body.length;
  } else {
    return 1;
  }
};

const svgSpan = function svgSpan(group, options) {
  // Create a span with inline SVG for the element.
  function buildSvgSpan_() {
    let viewBoxWidth = 400000; // default

    const label = group.label.substr(1);

    if (utils.contains(["widehat", "widecheck", "widetilde", "utilde"], label)) {
      // Each type in the `if` statement corresponds to one of the ParseNode
      // types below. This narrowing is required to access `grp.base`.
      const grp = group; // There are four SVG images available for each function.
      // Choose a taller image when there are more characters.

      const numChars = groupLength(grp.base);
      let viewBoxHeight;
      let pathName;
      let height;

      if (numChars > 5) {
        if (label === "widehat" || label === "widecheck") {
          viewBoxHeight = 420;
          viewBoxWidth = 2364;
          height = 0.42;
          pathName = label + "4";
        } else {
          viewBoxHeight = 312;
          viewBoxWidth = 2340;
          height = 0.34;
          pathName = "tilde4";
        }
      } else {
        const imgIndex = [1, 1, 2, 2, 3, 3][numChars];

        if (label === "widehat" || label === "widecheck") {
          viewBoxWidth = [0, 1062, 2364, 2364, 2364][imgIndex];
          viewBoxHeight = [0, 239, 300, 360, 420][imgIndex];
          height = [0, 0.24, 0.3, 0.3, 0.36, 0.42][imgIndex];
          pathName = label + imgIndex;
        } else {
          viewBoxWidth = [0, 600, 1033, 2339, 2340][imgIndex];
          viewBoxHeight = [0, 260, 286, 306, 312][imgIndex];
          height = [0, 0.26, 0.286, 0.3, 0.306, 0.34][imgIndex];
          pathName = "tilde" + imgIndex;
        }
      }

      const path = new PathNode(pathName);
      const svgNode = new SvgNode([path], {
        "width": "100%",
        "height": height + "em",
        "viewBox": `0 0 ${viewBoxWidth} ${viewBoxHeight}`,
        "preserveAspectRatio": "none"
      });
      return {
        span: buildCommon.makeSvgSpan([], [svgNode], options),
        minWidth: 0,
        height
      };
    } else {
      const spans = [];
      const data = katexImagesData[label];
      const paths = data[0],
            minWidth = data[1],
            viewBoxHeight = data[2];
      const height = viewBoxHeight / 1000;
      const numSvgChildren = paths.length;
      let widthClasses;
      let aligns;

      if (numSvgChildren === 1) {
        // $FlowFixMe: All these cases must be of the 4-tuple type.
        const align1 = data[3];
        widthClasses = ["hide-tail"];
        aligns = [align1];
      } else if (numSvgChildren === 2) {
        widthClasses = ["halfarrow-left", "halfarrow-right"];
        aligns = ["xMinYMin", "xMaxYMin"];
      } else if (numSvgChildren === 3) {
        widthClasses = ["brace-left", "brace-center", "brace-right"];
        aligns = ["xMinYMin", "xMidYMin", "xMaxYMin"];
      } else {
        throw new Error(`Correct katexImagesData or update code here to support
                    ${numSvgChildren} children.`);
      }

      for (let i = 0; i < numSvgChildren; i++) {
        const path = new PathNode(paths[i]);
        const svgNode = new SvgNode([path], {
          "width": "400em",
          "height": height + "em",
          "viewBox": `0 0 ${viewBoxWidth} ${viewBoxHeight}`,
          "preserveAspectRatio": aligns[i] + " slice"
        });
        const span = buildCommon.makeSvgSpan([widthClasses[i]], [svgNode], options);

        if (numSvgChildren === 1) {
          return {
            span,
            minWidth,
            height
          };
        } else {
          span.style.height = height + "em";
          spans.push(span);
        }
      }

      return {
        span: buildCommon.makeSpan(["stretchy"], spans, options),
        minWidth,
        height
      };
    }
  } // buildSvgSpan_()


  const _buildSvgSpan_ = buildSvgSpan_(),
        span = _buildSvgSpan_.span,
        minWidth = _buildSvgSpan_.minWidth,
        height = _buildSvgSpan_.height; // Note that we are returning span.depth = 0.
  // Any adjustments relative to the baseline must be done in buildHTML.


  span.height = height;
  span.style.height = height + "em";

  if (minWidth > 0) {
    span.style.minWidth = minWidth + "em";
  }

  return span;
};

const encloseSpan = function encloseSpan(inner, label, pad, options) {
  // Return an image span for \cancel, \bcancel, \xcancel, or \fbox
  let img;
  const totalHeight = inner.height + inner.depth + 2 * pad;

  if (/fbox|color/.test(label)) {
    img = buildCommon.makeSpan(["stretchy", label], [], options);

    if (label === "fbox") {
      const color = options.color && options.getColor();

      if (color) {
        img.style.borderColor = color;
      }
    }
  } else {
    // \cancel, \bcancel, or \xcancel
    // Since \cancel's SVG is inline and it omits the viewBox attribute,
    // its stroke-width will not vary with span area.
    const lines = [];

    if (/^[bx]cancel$/.test(label)) {
      lines.push(new LineNode({
        "x1": "0",
        "y1": "0",
        "x2": "100%",
        "y2": "100%",
        "stroke-width": "0.046em"
      }));
    }

    if (/^x?cancel$/.test(label)) {
      lines.push(new LineNode({
        "x1": "0",
        "y1": "100%",
        "x2": "100%",
        "y2": "0",
        "stroke-width": "0.046em"
      }));
    }

    const svgNode = new SvgNode(lines, {
      "width": "100%",
      "height": totalHeight + "em"
    });
    img = buildCommon.makeSvgSpan([], [svgNode], options);
  }

  img.height = totalHeight;
  img.style.height = totalHeight + "em";
  return img;
};

var stretchy = {
  encloseSpan,
  mathMLnode,
  svgSpan
};

/**
 * Asserts that the node is of the given type and returns it with stricter
 * typing. Throws if the node's type does not match.
 */
function assertNodeType(node, type) {
  if (!node || node.type !== type) {
    throw new Error(`Expected node of type ${type}, but got ` + (node ? `node of type ${node.type}` : String(node)));
  }

  return node;
}
/**
 * Returns the node more strictly typed iff it is of the given type. Otherwise,
 * returns null.
 */

function assertSymbolNodeType(node) {
  const typedNode = checkSymbolNodeType(node);

  if (!typedNode) {
    throw new Error(`Expected node of symbol group type, but got ` + (node ? `node of type ${node.type}` : String(node)));
  }

  return typedNode;
}
/**
 * Returns the node more strictly typed iff it is of the given type. Otherwise,
 * returns null.
 */

function checkSymbolNodeType(node) {
  if (node && (node.type === "atom" || NON_ATOMS.hasOwnProperty(node.type))) {
    // $FlowFixMe
    return node;
  }

  return null;
}

// NOTE: Unlike most `htmlBuilder`s, this one handles not only "accent", but
const htmlBuilder = (grp, options) => {
  // Accents are handled in the TeXbook pg. 443, rule 12.
  let base;
  let group;
  let supSubGroup;

  if (grp && grp.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 real accent group is the base of the supsub group
    group = assertNodeType(grp.base, "accent"); // The character box is the base of the accent group

    base = group.base; // Stick the character box into the base of the supsub group

    grp.base = base; // Rerender the supsub group with its new base, and store that
    // result.

    supSubGroup = assertSpan(buildGroup(grp, options)); // reset original base

    grp.base = group;
  } else {
    group = assertNodeType(grp, "accent");
    base = group.base;
  } // Build the base group


  const body = buildGroup(base, options.havingCrampedStyle()); // Does the accent need to shift for the skew of a character?

  const mustShift = group.isShifty && utils.isCharacterBox(base); // 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.

  let skew = 0;

  if (mustShift) {
    // If the base is a character box, then we want the skew of the
    // innermost character. To do that, we find the innermost character:
    const baseChar = utils.getBaseElem(base); // Then, we render its group to get the symbol inside it

    const baseGroup = buildGroup(baseChar, options.havingCrampedStyle()); // Finally, we pull the skew off of the symbol.

    skew = assertSymbolDomNode(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
  } // calculate the amount of space between the body and the accent


  let clearance = Math.min(body.height, options.fontMetrics().xHeight); // Build the accent

  let accentBody;

  if (!group.isStretchy) {
    let accent;
    let width;

    if (group.label === "\\vec") {
      // Before version 0.9, \vec used the combining font glyph U+20D7.
      // But browsers, especially Safari, are not consistent in how they
      // render combining characters when not preceded by a character.
      // So now we use an SVG.
      // If Safari reforms, we should consider reverting to the glyph.
      accent = buildCommon.staticSvg("vec", options);
      width = buildCommon.svgData.vec[1];
    } else {
      accent = buildCommon.makeOrd({
        mode: group.mode,
        text: group.label
      }, options, "textord");
      accent = assertSymbolDomNode(accent); // 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;
      width = accent.width;
    }

    accentBody = buildCommon.makeSpan(["accent-body"], [accent]); // "Full" accents expand the width of the resulting symbol to be
    // at least the width of the accent, and overlap directly onto the
    // character without any vertical offset.

    const accentFull = group.label === "\\textcircled";

    if (accentFull) {
      accentBody.classes.push('accent-full');
      clearance = body.height;
    } // Shift the accent over by the skew.


    let left = skew; // CSS defines `.katex .accent .accent-body:not(.accent-full) { width: 0 }`
    // so that the accent doesn't contribute to the bounding box.
    // We need to shift the character by its width (effectively half
    // its width) to compensate.

    if (!accentFull) {
      left -= width / 2;
    }

    accentBody.style.left = left + "em"; // \textcircled uses the \bigcirc glyph, so it needs some
    // vertical adjustment to match LaTeX.

    if (group.label === "\\textcircled") {
      accentBody.style.top = ".2em";
    }

    accentBody = buildCommon.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: body
      }, {
        type: "kern",
        size: -clearance
      }, {
        type: "elem",
        elem: accentBody
      }]
    }, options);
  } else {
    accentBody = stretchy.svgSpan(group, options);
    accentBody = buildCommon.makeVList({
      positionType: "firstBaseline",
      children: [{
        type: "elem",
        elem: body
      }, {
        type: "elem",
        elem: accentBody,
        wrapperClasses: ["svg-align"],
        wrapperStyle: skew > 0 ? {
          width: `calc(100% - ${2 * skew}em)`,
          marginLeft: `${2 * skew}em`
        } : undefined
      }]
    }, options);
  }

  const accentWrap = buildCommon.makeSpan(["mord", "accent"], [accentBody], options);

  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;
  }
};

const mathmlBuilder = (group, options) => {
  const accentNode = group.isStretchy ? stretchy.mathMLnode(group.label) : new mathMLTree.MathNode("mo", [makeText(group.label, group.mode)]);
  const node = new mathMLTree.MathNode("mover", [buildGroup$1(group.base, options), accentNode]);
  node.setAttribute("accent", "true");
  return node;
};

const NON_STRETCHY_ACCENT_REGEX = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map(accent => `\\${accent}`).join("|")); // Accents

defineFunction({
  type: "accent",
  names: ["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring", "\\widecheck", "\\widehat", "\\widetilde", "\\overrightarrow", "\\overleftarrow", "\\Overrightarrow", "\\overleftrightarrow", "\\overgroup", "\\overlinesegment", "\\overleftharpoon", "\\overrightharpoon"],
  props: {
    numArgs: 1
  },
  handler: (context, args) => {
    const base = args[0];
    const isStretchy = !NON_STRETCHY_ACCENT_REGEX.test(context.funcName);
    const isShifty = !isStretchy || context.funcName === "\\widehat" || context.funcName === "\\widetilde" || context.funcName === "\\widecheck";
    return {
      type: "accent",
      mode: context.parser.mode,
      label: context.funcName,
      isStretchy: isStretchy,
      isShifty: isShifty,
      base: base
    };
  },
  htmlBuilder,
  mathmlBuilder
}); // Text-mode accents

defineFunction({
  type: "accent",
  names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\r", "\\H", "\\v", "\\textcircled"],
  props: {
    numArgs: 1,
    allowedInText: true,
    allowedInMath: false
  },
  handler: (context, args) => {
    const base = args[0];
    return {
      type: "accent",
      mode: context.parser.mode,
      label: context.funcName,
      isStretchy: false,
      isShifty: true,
      base: base
    };
  },
  htmlBuilder,
  mathmlBuilder
});

// Horizontal overlap functions
defineFunction({
  type: "accentUnder",
  names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
  props: {
    numArgs: 1
  },
  handler: (_ref, args) => {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const base = args[0];
    return {
      type: "accentUnder",
      mode: parser.mode,
      label: funcName,
      base: base
    };
  },
  htmlBuilder: (group, options) => {
    // Treat under accents much like underlines.
    const innerGroup = buildGroup(group.base, options);
    const accentBody = stretchy.svgSpan(group, options);
    const kern = group.label === "\\utilde" ? 0.12 : 0; // Generate the vlist, with the appropriate kerns

    const vlist = buildCommon.makeVList({
      positionType: "top",
      positionData: innerGroup.height,
      children: [{
        type: "elem",
        elem: accentBody,
        wrapperClasses: ["svg-align"]
      }, {
        type: "kern",
        size: kern
      }, {
        type: "elem",
        elem: innerGroup
      }]
    }, options);
    return buildCommon.makeSpan(["mord", "accentunder"], [vlist], options);
  },
  mathmlBuilder: (group, options) => {
    const accentNode = stretchy.mathMLnode(group.label);
    const node = new mathMLTree.MathNode("munder", [buildGroup$1(group.base, options), accentNode]);
    node.setAttribute("accentunder", "true");
    return node;
  }
});

// Helper function
const paddedNode = group => {
  const node = new mathMLTree.MathNode("mpadded", group ? [group] : []);
  node.setAttribute("width", "+0.6em");
  node.setAttribute("lspace", "0.3em");
  return node;
}; // Stretchy arrows with an optional argument


defineFunction({
  type: "xArrow",
  names: ["\\xleftarrow", "\\xrightarrow", "\\xLeftarrow", "\\xRightarrow", "\\xleftrightarrow", "\\xLeftrightarrow", "\\xhookleftarrow", "\\xhookrightarrow", "\\xmapsto", "\\xrightharpoondown", "\\xrightharpoonup", "\\xleftharpoondown", "\\xleftharpoonup", "\\xrightleftharpoons", "\\xleftrightharpoons", "\\xlongequal", "\\xtwoheadrightarrow", "\\xtwoheadleftarrow", "\\xtofrom", // The next 3 functions are here to support the mhchem extension.
  // Direct use of these functions is discouraged and may break someday.
  "\\xrightleftarrows", "\\xrightequilibrium", "\\xleftequilibrium"],
  props: {
    numArgs: 1,
    numOptionalArgs: 1
  },

  handler(_ref, args, optArgs) {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    return {
      type: "xArrow",
      mode: parser.mode,
      label: funcName,
      body: args[0],
      below: optArgs[0]
    };
  },

  // Flow is unable to correctly infer the type of `group`, even though it's
  // unamibiguously determined from the passed-in `type` above.
  htmlBuilder(group, options) {
    const style = options.style; // Build the argument groups in the appropriate style.
    // Ref: amsmath.dtx:   \hbox{$\scriptstyle\mkern#3mu{#6}\mkern#4mu$}%
    // Some groups can return document fragments.  Handle those by wrapping
    // them in a span.

    let newOptions = options.havingStyle(style.sup());
    const upperGroup = buildCommon.wrapFragment(buildGroup(group.body, newOptions, options), options);
    upperGroup.classes.push("x-arrow-pad");
    let lowerGroup;

    if (group.below) {
      // Build the lower group
      newOptions = options.havingStyle(style.sub());
      lowerGroup = buildCommon.wrapFragment(buildGroup(group.below, newOptions, options), options);
      lowerGroup.classes.push("x-arrow-pad");
    }

    const arrowBody = stretchy.svgSpan(group, options); // Re shift: Note that stretchy.svgSpan returned arrowBody.depth = 0.
    // The point we want on the math axis is at 0.5 * arrowBody.height.

    const arrowShift = -options.fontMetrics().axisHeight + 0.5 * arrowBody.height; // 2 mu kern. Ref: amsmath.dtx: #7\if0#2\else\mkern#2mu\fi

    let upperShift = -options.fontMetrics().axisHeight - 0.5 * arrowBody.height - 0.111; // 0.111 em = 2 mu

    if (upperGroup.depth > 0.25 || group.label === "\\xleftequilibrium") {
      upperShift -= upperGroup.depth; // shift up if depth encroaches
    } // Generate the vlist


    let vlist;

    if (lowerGroup) {
      const lowerShift = -options.fontMetrics().axisHeight + lowerGroup.height + 0.5 * arrowBody.height + 0.111;
      vlist = buildCommon.makeVList({
        positionType: "individualShift",
        children: [{
          type: "elem",
          elem: upperGroup,
          shift: upperShift
        }, {
          type: "elem",
          elem: arrowBody,
          shift: arrowShift
        }, {
          type: "elem",
          elem: lowerGroup,
          shift: lowerShift
        }]
      }, options);
    } else {
      vlist = buildCommon.makeVList({
        positionType: "individualShift",
        children: [{
          type: "elem",
          elem: upperGroup,
          shift: upperShift
        }, {
          type: "elem",
          elem: arrowBody,
          shift: arrowShift
        }]
      }, options);
    } // $FlowFixMe: Replace this with passing "svg-align" into makeVList.


    vlist.children[0].children[0].children[1].classes.push("svg-align");
    return buildCommon.makeSpan(["mrel", "x-arrow"], [vlist], options);
  },

  mathmlBuilder(group, options) {
    const arrowNode = stretchy.mathMLnode(group.label);
    let node;

    if (group.body) {
      const upperNode = paddedNode(buildGroup$1(group.body, options));

      if (group.below) {
        const lowerNode = paddedNode(buildGroup$1(group.below, options));
        node = new mathMLTree.MathNode("munderover", [arrowNode, lowerNode, upperNode]);
      } else {
        node = new mathMLTree.MathNode("mover", [arrowNode, upperNode]);
      }
    } else if (group.below) {
      const lowerNode = paddedNode(buildGroup$1(group.below, options));
      node = new mathMLTree.MathNode("munder", [arrowNode, lowerNode]);
    } else {
      // This should never happen.
      // Parser.js throws an error if there is no argument.
      node = paddedNode();
      node = new mathMLTree.MathNode("mover", [arrowNode, node]);
    }

    return node;
  }

});

// {123} and converts into symbol with code 123.  It is used by the *macro*
// \char defined in macros.js.

defineFunction({
  type: "textord",
  names: ["\\@char"],
  props: {
    numArgs: 1,
    allowedInText: true
  },

  handler(_ref, args) {
    let parser = _ref.parser;
    const arg = assertNodeType(args[0], "ordgroup");
    const group = arg.body;
    let number = "";

    for (let i = 0; i < group.length; i++) {
      const node = assertNodeType(group[i], "textord");
      number += node.text;
    }

    const code = parseInt(number);

    if (isNaN(code)) {
      throw new ParseError(`\\@char has non-numeric argument ${number}`);
    }

    return {
      type: "textord",
      mode: parser.mode,
      text: String.fromCharCode(code)
    };
  }

});

const htmlBuilder$1 = (group, options) => {
  const elements = buildExpression(group.body, options.withColor(group.color), false); // \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 buildCommon.makeFragment(elements);
};

const mathmlBuilder$1 = (group, options) => {
  const inner = buildExpression$1(group.body, options.withColor(group.color));
  const node = new mathMLTree.MathNode("mstyle", inner);
  node.setAttribute("mathcolor", group.color);
  return node;
};

defineFunction({
  type: "color",
  names: ["\\textcolor"],
  props: {
    numArgs: 2,
    allowedInText: true,
    greediness: 3,
    argTypes: ["color", "original"]
  },

  handler(_ref, args) {
    let parser = _ref.parser;
    const color = assertNodeType(args[0], "color-token").color;
    const body = args[1];
    return {
      type: "color",
      mode: parser.mode,
      color,
      body: ordargument(body)
    };
  },

  htmlBuilder: htmlBuilder$1,
  mathmlBuilder: mathmlBuilder$1
});
defineFunction({
  type: "color",
  names: ["\\color"],
  props: {
    numArgs: 1,
    allowedInText: true,
    greediness: 3,
    argTypes: ["color"]
  },

  handler(_ref2, args) {
    let parser = _ref2.parser,
        breakOnTokenText = _ref2.breakOnTokenText;
    const color = assertNodeType(args[0], "color-token").color; // Set macro \current@color in current namespace to store the current
    // color, mimicking the behavior of color.sty.
    // This is currently used just to correctly color a \right
    // that follows a \color command.

    parser.gullet.macros.set("\\current@color", color); // Parse out the implicit body that should be colored.

    const body = parser.parseExpression(true, breakOnTokenText);
    return {
      type: "color",
      mode: parser.mode,
      color,
      body
    };
  },

  htmlBuilder: htmlBuilder$1,
  mathmlBuilder: mathmlBuilder$1
});

// Row breaks within tabular environments, and line breaks at top level
// same signature, we implement them as one megafunction, with newRow
// indicating whether we're in the \cr case, and newLine indicating whether
// to break the line in the \newline case.

defineFunction({
  type: "cr",
  names: ["\\cr", "\\newline"],
  props: {
    numArgs: 0,
    numOptionalArgs: 1,
    argTypes: ["size"],
    allowedInText: true
  },

  handler(_ref, args, optArgs) {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const size = optArgs[0];
    const newRow = funcName === "\\cr";
    let newLine = false;

    if (!newRow) {
      if (parser.settings.displayMode && parser.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline " + "does nothing in display mode")) {
        newLine = false;
      } else {
        newLine = true;
      }
    }

    return {
      type: "cr",
      mode: parser.mode,
      newLine,
      newRow,
      size: size && assertNodeType(size, "size").value
    };
  },

  // The following builders are called only at the top level,
  // not within tabular/array environments.
  htmlBuilder(group, options) {
    if (group.newRow) {
      throw new ParseError("\\cr valid only within a tabular/array environment");
    }

    const span = buildCommon.makeSpan(["mspace"], [], options);

    if (group.newLine) {
      span.classes.push("newline");

      if (group.size) {
        span.style.marginTop = calculateSize(group.size, options) + "em";
      }
    }

    return span;
  },

  mathmlBuilder(group, options) {
    const node = new mathMLTree.MathNode("mspace");

    if (group.newLine) {
      node.setAttribute("linebreak", "newline");

      if (group.size) {
        node.setAttribute("height", calculateSize(group.size, options) + "em");
      }
    }

    return node;
  }

});

const globalMap = {
  "\\global": "\\global",
  "\\long": "\\\\globallong",
  "\\\\globallong": "\\\\globallong",
  "\\def": "\\gdef",
  "\\gdef": "\\gdef",
  "\\edef": "\\xdef",
  "\\xdef": "\\xdef",
  "\\let": "\\\\globallet",
  "\\futurelet": "\\\\globalfuture"
};

const checkControlSequence = tok => {
  const name = tok.text;

  if (/^(?:[\\{}$&#^_]|EOF)$/.test(name)) {
    throw new ParseError("Expected a control sequence", tok);
  }

  return name;
};

const getRHS = parser => {
  let tok = parser.gullet.popToken();

  if (tok.text === "=") {
    // consume optional equals
    tok = parser.gullet.popToken();

    if (tok.text === " ") {
      // consume one optional space
      tok = parser.gullet.popToken();
    }
  }

  return tok;
};

const letCommand = (parser, name, tok, global) => {
  let macro = parser.gullet.macros.get(tok.text);

  if (macro == null) {
    // don't expand it later even if a macro with the same name is defined
    // e.g., \let\foo=\frac \def\frac{\relax} \frac12
    tok.noexpand = true;
    macro = {
      tokens: [tok],
      numArgs: 0,
      // reproduce the same behavior in expansion
      unexpandable: !parser.gullet.isExpandable(tok.text)
    };
  }

  parser.gullet.macros.set(name, macro, global);
}; // <assignment> -> <non-macro assignment>|<macro assignment>
// <non-macro assignment> -> <simple assignment>|\global<non-macro assignment>
// <macro assignment> -> <definition>|<prefix><macro assignment>
// <prefix> -> \global|\long|\outer


defineFunction({
  type: "internal",
  names: ["\\global", "\\long", "\\\\globallong"],
  props: {
    numArgs: 0,
    allowedInText: true
  },

  handler(_ref) {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    parser.consumeSpaces();
    const token = parser.fetch();

    if (globalMap[token.text]) {
      // KaTeX doesn't have \par, so ignore \long
      if (funcName === "\\global" || funcName === "\\\\globallong") {
        token.text = globalMap[token.text];
      }

      return assertNodeType(parser.parseFunction(), "internal");
    }

    throw new ParseError(`Invalid token after macro prefix`, token);
  }

}); // Basic support for macro definitions: \def, \gdef, \edef, \xdef
// <definition> -> <def><control sequence><definition text>
// <def> -> \def|\gdef|\edef|\xdef
// <definition text> -> <parameter text><left brace><balanced text><right brace>

defineFunction({
  type: "internal",
  names: ["\\def", "\\gdef", "\\edef", "\\xdef"],
  props: {
    numArgs: 0,
    allowedInText: true
  },

  handler(_ref2) {
    let parser = _ref2.parser,
        funcName = _ref2.funcName;
    let arg = parser.gullet.consumeArgs(1)[0];

    if (arg.length !== 1) {
      throw new ParseError("\\gdef's first argument must be a macro name");
    }

    const name = arg[0].text; // Count argument specifiers, and check they are in the order #1 #2 ...

    let numArgs = 0;
    arg = parser.gullet.consumeArgs(1)[0];

    while (arg.length === 1 && arg[0].text === "#") {
      arg = parser.gullet.consumeArgs(1)[0];

      if (arg.length !== 1) {
        throw new ParseError(`Invalid argument number length "${arg.length}"`);
      }

      if (!/^[1-9]$/.test(arg[0].text)) {
        throw new ParseError(`Invalid argument number "${arg[0].text}"`);
      }

      numArgs++;

      if (parseInt(arg[0].text) !== numArgs) {
        throw new ParseError(`Argument number "${arg[0].text}" out of order`);
      }

      arg = parser.gullet.consumeArgs(1)[0];
    }

    if (funcName === "\\edef" || funcName === "\\xdef") {
      arg = parser.gullet.expandTokens(arg);
      arg.reverse(); // to fit in with stack order
    } // Final arg is the expansion of the macro


    parser.gullet.macros.set(name, {
      tokens: arg,
      numArgs
    }, funcName === globalMap[funcName]);
    return {
      type: "internal",
      mode: parser.mode
    };
  }

}); // <simple assignment> -> <let assignment>
// <let assignment> -> \futurelet<control sequence><token><token>
//     | \let<control sequence><equals><one optional space><token>
// <equals> -> <optional spaces>|<optional spaces>=

defineFunction({
  type: "internal",
  names: ["\\let", "\\\\globallet"],
  props: {
    numArgs: 0,
    allowedInText: true
  },

  handler(_ref3) {
    let parser = _ref3.parser,
        funcName = _ref3.funcName;
    const name = checkControlSequence(parser.gullet.popToken());
    parser.gullet.consumeSpaces();
    const tok = getRHS(parser);
    letCommand(parser, name, tok, funcName === "\\\\globallet");
    return {
      type: "internal",
      mode: parser.mode
    };
  }

}); // ref: https://www.tug.org/TUGboat/tb09-3/tb22bechtolsheim.pdf

defineFunction({
  type: "internal",
  names: ["\\futurelet", "\\\\globalfuture"],
  props: {
    numArgs: 0,
    allowedInText: true
  },

  handler(_ref4) {
    let parser = _ref4.parser,
        funcName = _ref4.funcName;
    const name = checkControlSequence(parser.gullet.popToken());
    const middle = parser.gullet.popToken();
    const tok = parser.gullet.popToken();
    letCommand(parser, name, tok, funcName === "\\\\globalfuture");
    parser.gullet.pushToken(tok);
    parser.gullet.pushToken(middle);
    return {
      type: "internal",
      mode: parser.mode
    };
  }

});

/**
 * 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`.
 */

/**
 * Get the metrics for a given symbol and font, after transformation (i.e.
 * after following replacement from symbols.js)
 */
const getMetrics = function getMetrics(symbol, font, mode) {
  const replace = symbols.math[symbol] && symbols.math[symbol].replace;
  const metrics = getCharacterMetrics(replace || symbol, font, mode);

  if (!metrics) {
    throw new Error(`Unsupported symbol ${symbol} and font size ${font}.`);
  }

  return metrics;
};
/**
 * Puts a delimiter span in a given style, and adds appropriate height, depth,
 * and maxFontSizes.
 */


const styleWrap = function styleWrap(delim, toStyle, options, classes) {
  const newOptions = options.havingBaseStyle(toStyle);
  const span = buildCommon.makeSpan(classes.concat(newOptions.sizingClasses(options)), [delim], options);
  const delimSizeMultiplier = newOptions.sizeMultiplier / options.sizeMultiplier;
  span.height *= delimSizeMultiplier;
  span.depth *= delimSizeMultiplier;
  span.maxFontSize = newOptions.sizeMultiplier;
  return span;
};

const centerSpan = function centerSpan(span, options, style) {
  const newOptions = options.havingBaseStyle(style);
  const shift = (1 - options.sizeMultiplier / newOptions.sizeMultiplier) * options.fontMetrics().axisHeight;
  span.classes.push("delimcenter");
  span.style.top = shift + "em";
  span.height -= shift;
  span.depth += shift;
};
/**
 * 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.
 */


const makeSmallDelim = function makeSmallDelim(delim, style, center, options, mode, classes) {
  const text = buildCommon.makeSymbol(delim, "Main-Regular", mode, options);
  const span = styleWrap(text, style, options, classes);

  if (center) {
    centerSpan(span, options, style);
  }

  return span;
};
/**
 * Builds a symbol in the given font size (note size is an integer)
 */


const mathrmSize = function mathrmSize(value, size, mode, options) {
  return buildCommon.makeSymbol(value, "Size" + size + "-Regular", mode, options);
};
/**
 * Makes a large delimiter. This is a delimiter that comes in the Size1, Size2,
 * Size3, or Size4 fonts. It is always rendered in textstyle.
 */


const makeLargeDelim = function makeLargeDelim(delim, size, center, options, mode, classes) {
  const inner = mathrmSize(delim, size, mode, options);
  const span = styleWrap(buildCommon.makeSpan(["delimsizing", "size" + size], [inner], options), Style$1.TEXT, options, classes);

  if (center) {
    centerSpan(span, options, Style$1.TEXT);
  }

  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.
 */


const makeInner = function makeInner(symbol, font, mode) {
  let 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";
    }

  const inner = buildCommon.makeSpan(["delimsizinginner", sizeClass], [buildCommon.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
  };
}; // Helper for makeStackedDelim


const lap = {
  type: "kern",
  size: -0.005
};
/**
 * 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.
 */

const makeStackedDelim = function makeStackedDelim(delim, heightTotal, center, options, mode, classes) {
  // There are four parts, the top, an optional middle, a repeated part, and a
  // bottom.
  let top;
  let middle;
  let repeat;
  let bottom;
  top = repeat = bottom = delim;
  middle = null; // Also keep track of what font the delimiters are in

  let 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" || delim === "\u230a") {
    repeat = top = "\u23a2";
    bottom = "\u23a3";
    font = "Size4-Regular";
  } else if (delim === "\\lceil" || delim === "\u2308") {
    top = "\u23a1";
    repeat = bottom = "\u23a2";
    font = "Size4-Regular";
  } else if (delim === "\\rfloor" || delim === "\u230b") {
    repeat = top = "\u23a5";
    bottom = "\u23a6";
    font = "Size4-Regular";
  } else if (delim === "\\rceil" || delim === "\u2309") {
    top = "\u23a4";
    repeat = bottom = "\u23a5";
    font = "Size4-Regular";
  } else if (delim === "(" || delim === "\\lparen") {
    top = "\u239b";
    repeat = "\u239c";
    bottom = "\u239d";
    font = "Size4-Regular";
  } else if (delim === ")" || delim === "\\rparen") {
    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" || delim === "\u27ee") {
    top = "\u23a7";
    bottom = "\u23a9";
    repeat = "\u23aa";
    font = "Size4-Regular";
  } else if (delim === "\\rgroup" || delim === "\u27ef") {
    top = "\u23ab";
    bottom = "\u23ad";
    repeat = "\u23aa";
    font = "Size4-Regular";
  } else if (delim === "\\lmoustache" || delim === "\u23b0") {
    top = "\u23a7";
    bottom = "\u23ad";
    repeat = "\u23aa";
    font = "Size4-Regular";
  } else if (delim === "\\rmoustache" || delim === "\u23b1") {
    top = "\u23ab";
    bottom = "\u23a9";
    repeat = "\u23aa";
    font = "Size4-Regular";
  } // Get the metrics of the four sections


  const topMetrics = getMetrics(top, font, mode);
  const topHeightTotal = topMetrics.height + topMetrics.depth;
  const repeatMetrics = getMetrics(repeat, font, mode);
  const repeatHeightTotal = repeatMetrics.height + repeatMetrics.depth;
  const bottomMetrics = getMetrics(bottom, font, mode);
  const bottomHeightTotal = bottomMetrics.height + bottomMetrics.depth;
  let middleHeightTotal = 0;
  let middleFactor = 1;

  if (middle !== null) {
    const middleMetrics = getMetrics(middle, font, mode);
    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.


  const minHeight = topHeightTotal + bottomHeightTotal + middleHeightTotal; // Compute the number of copies of the repeat symbol we will need

  const repeatCount = Math.max(0, Math.ceil((heightTotal - minHeight) / (middleFactor * repeatHeightTotal))); // Compute the total height of the delimiter including all the symbols

  const 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.

  let axisHeight = options.fontMetrics().axisHeight;

  if (center) {
    axisHeight *= options.sizeMultiplier;
  } // Calculate the depth


  const depth = realHeightTotal / 2 - axisHeight; // This function differs from the TeX procedure in one way.
  // We shift each repeat element downwards by 0.005em, to prevent a gap
  // due to browser floating point rounding error.
  // Then, at the last element-to element joint, we add one extra repeat
  // element to cover the gap created by the shifts.
  // Find the shift needed to align the upper end of the extra element at a point
  // 0.005em above the lower end of the top element.

  const shiftOfExtraElement = (repeatCount + 1) * 0.005 - repeatHeightTotal; // Now, we start building the pieces that will go into the vlist
  // Keep a list of the inner pieces

  const inners = []; // Add the bottom symbol

  inners.push(makeInner(bottom, font, mode));

  if (middle === null) {
    // Add that many symbols
    for (let i = 0; i < repeatCount; i++) {
      inners.push(lap); // overlap

      inners.push(makeInner(repeat, font, mode));
    }
  } else {
    // When there is a middle bit, we need the middle part and two repeated
    // sections
    for (let i = 0; i < repeatCount; i++) {
      inners.push(lap);
      inners.push(makeInner(repeat, font, mode));
    } // Insert one extra repeat element.


    inners.push({
      type: "kern",
      size: shiftOfExtraElement
    });
    inners.push(makeInner(repeat, font, mode));
    inners.push(lap); // Now insert the middle of the brace.

    inners.push(makeInner(middle, font, mode));

    for (let i = 0; i < repeatCount; i++) {
      inners.push(lap);
      inners.push(makeInner(repeat, font, mode));
    }
  } // To cover the gap create by the overlaps, insert one more repeat element,
  // at a position that juts 0.005 above the bottom of the top element.


  if ((repeat === "\u239c" || repeat === "\u239f") && repeatCount === 0) {
    // Parentheses need a short repeat element in order to avoid an overrun.
    // We'll make a 0.3em tall element from a SVG.
    const overlap = buildCommon.svgData.leftParenInner[2] / 2;
    inners.push({
      type: "kern",
      size: -overlap
    });
    const pathName = repeat === "\u239c" ? "leftParenInner" : "rightParenInner";
    const innerSpan = buildCommon.staticSvg(pathName, options);
    inners.push({
      type: "elem",
      elem: innerSpan
    });
    inners.push({
      type: "kern",
      size: -overlap
    });
  } else {
    inners.push({
      type: "kern",
      size: shiftOfExtraElement
    });
    inners.push(makeInner(repeat, font, mode));
    inners.push(lap);
  } // Add the top symbol


  inners.push(makeInner(top, font, mode)); // Finally, build the vlist

  const newOptions = options.havingBaseStyle(Style$1.TEXT);
  const inner = buildCommon.makeVList({
    positionType: "bottom",
    positionData: depth,
    children: inners
  }, newOptions);
  return styleWrap(buildCommon.makeSpan(["delimsizing", "mult"], [inner], newOptions), Style$1.TEXT, options, classes);
}; // All surds have 0.08em padding above the viniculum inside the SVG.
// That keeps browser span height rounding error from pinching the line.


const vbPad = 80; // padding above the surd, measured inside the viewBox.

const emPad = 0.08; // padding, in ems, measured in the document.

const sqrtSvg = function sqrtSvg(sqrtName, height, viewBoxHeight, extraViniculum, options) {
  const path = sqrtPath(sqrtName, extraViniculum, viewBoxHeight);
  const pathNode = new PathNode(sqrtName, path);
  const svg = new SvgNode([pathNode], {
    // Note: 1000:1 ratio of viewBox to document em width.
    "width": "400em",
    "height": height + "em",
    "viewBox": "0 0 400000 " + viewBoxHeight,
    "preserveAspectRatio": "xMinYMin slice"
  });
  return buildCommon.makeSvgSpan(["hide-tail"], [svg], options);
};
/**
 * Make a sqrt image of the given height,
 */


const makeSqrtImage = function makeSqrtImage(height, options) {
  // Define a newOptions that removes the effect of size changes such as \Huge.
  // We don't pick different a height surd for \Huge. For it, we scale up.
  const newOptions = options.havingBaseSizing(); // Pick the desired surd glyph from a sequence of surds.

  const delim = traverseSequence("\\surd", height * newOptions.sizeMultiplier, stackLargeDelimiterSequence, newOptions);
  let sizeMultiplier = newOptions.sizeMultiplier; // default
  // The standard sqrt SVGs each have a 0.04em thick viniculum.
  // If Settings.minRuleThickness is larger than that, we add extraViniculum.

  const extraViniculum = Math.max(0, options.minRuleThickness - options.fontMetrics().sqrtRuleThickness); // Create a span containing an SVG image of a sqrt symbol.

  let span;
  let spanHeight = 0;
  let texHeight = 0;
  let viewBoxHeight = 0;
  let advanceWidth; // We create viewBoxes with 80 units of "padding" above each surd.
  // Then browser rounding error on the parent span height will not
  // encroach on the ink of the viniculum. But that padding is not
  // included in the TeX-like `height` used for calculation of
  // vertical alignment. So texHeight = span.height < span.style.height.

  if (delim.type === "small") {
    // Get an SVG that is derived from glyph U+221A in font KaTeX-Main.
    // 1000 unit normal glyph height.
    viewBoxHeight = 1000 + 1000 * extraViniculum + vbPad;

    if (height < 1.0) {
      sizeMultiplier = 1.0; // mimic a \textfont radical
    } else if (height < 1.4) {
      sizeMultiplier = 0.7; // mimic a \scriptfont radical
    }

    spanHeight = (1.0 + extraViniculum + emPad) / sizeMultiplier;
    texHeight = (1.00 + extraViniculum) / sizeMultiplier;
    span = sqrtSvg("sqrtMain", spanHeight, viewBoxHeight, extraViniculum, options);
    span.style.minWidth = "0.853em";
    advanceWidth = 0.833 / sizeMultiplier; // from the font.
  } else if (delim.type === "large") {
    // These SVGs come from fonts: KaTeX_Size1, _Size2, etc.
    viewBoxHeight = (1000 + vbPad) * sizeToMaxHeight[delim.size];
    texHeight = (sizeToMaxHeight[delim.size] + extraViniculum) / sizeMultiplier;
    spanHeight = (sizeToMaxHeight[delim.size] + extraViniculum + emPad) / sizeMultiplier;
    span = sqrtSvg("sqrtSize" + delim.size, spanHeight, viewBoxHeight, extraViniculum, options);
    span.style.minWidth = "1.02em";
    advanceWidth = 1.0 / sizeMultiplier; // 1.0 from the font.
  } else {
    // Tall sqrt. In TeX, this would be stacked using multiple glyphs.
    // We'll use a single SVG to accomplish the same thing.
    spanHeight = height + extraViniculum + emPad;
    texHeight = height + extraViniculum;
    viewBoxHeight = Math.floor(1000 * height + extraViniculum) + vbPad;
    span = sqrtSvg("sqrtTall", spanHeight, viewBoxHeight, extraViniculum, options);
    span.style.minWidth = "0.742em";
    advanceWidth = 1.056;
  }

  span.height = texHeight;
  span.style.height = spanHeight + "em";
  return {
    span,
    advanceWidth,
    // Calculate the actual line width.
    // This actually should depend on the chosen font -- e.g. \boldmath
    // should use the thicker surd symbols from e.g. KaTeX_Main-Bold, and
    // have thicker rules.
    ruleWidth: (options.fontMetrics().sqrtRuleThickness + extraViniculum) * sizeMultiplier
  };
}; // There are three kinds of delimiters, delimiters that stack when they become
// too large


const stackLargeDelimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"]; // delimiters that always stack

const stackAlwaysDelimiters = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"]; // and delimiters that never stack

const 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.

const 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.
 */

const makeSizedDelim = function makeSizedDelim(delim, size, options, mode, classes) {
  // < and > turn into \langle and \rangle in delimiters
  if (delim === "<" || delim === "\\lt" || delim === "\u27e8") {
    delim = "\\langle";
  } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") {
    delim = "\\rangle";
  } // Sized delimiters are never centered.


  if (utils.contains(stackLargeDelimiters, delim) || utils.contains(stackNeverDelimiters, delim)) {
    return makeLargeDelim(delim, size, false, options, mode, classes);
  } else if (utils.contains(stackAlwaysDelimiters, delim)) {
    return makeStackedDelim(delim, sizeToMaxHeight[size], false, options, mode, classes);
  } 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
const stackNeverDelimiterSequence = [{
  type: "small",
  style: Style$1.SCRIPTSCRIPT
}, {
  type: "small",
  style: Style$1.SCRIPT
}, {
  type: "small",
  style: Style$1.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

const stackAlwaysDelimiterSequence = [{
  type: "small",
  style: Style$1.SCRIPTSCRIPT
}, {
  type: "small",
  style: Style$1.SCRIPT
}, {
  type: "small",
  style: Style$1.TEXT
}, {
  type: "stack"
}]; // Delimiters that stack when large try the small and then large delimiters, and
// stack afterwards

const stackLargeDelimiterSequence = [{
  type: "small",
  style: Style$1.SCRIPTSCRIPT
}, {
  type: "small",
  style: Style$1.SCRIPT
}, {
  type: "small",
  style: Style$1.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.
 * TODO(#963) Use more specific font family return type once that is introduced.
 */

const delimTypeToFont = function delimTypeToFont(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";
  } else {
    throw new Error(`Add support for delim type '${type.type}' here.`);
  }
};
/**
 * 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.
 */


const traverseSequence = function traverseSequence(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
  const start = Math.min(2, 3 - options.style.size);

  for (let 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;
    }

    const metrics = getMetrics(delim, delimTypeToFont(sequence[i]), "math");
    let 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") {
      const newOptions = options.havingBaseStyle(sequence[i].style);
      heightDepth *= newOptions.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.
 */


const makeCustomSizedDelim = function makeCustomSizedDelim(delim, height, center, options, mode, classes) {
  if (delim === "<" || delim === "\\lt" || delim === "\u27e8") {
    delim = "\\langle";
  } else if (delim === ">" || delim === "\\gt" || delim === "\u27e9") {
    delim = "\\rangle";
  } // Decide what sequence to use


  let sequence;

  if (utils.contains(stackNeverDelimiters, delim)) {
    sequence = stackNeverDelimiterSequence;
  } else if (utils.contains(stackLargeDelimiters, delim)) {
    sequence = stackLargeDelimiterSequence;
  } else {
    sequence = stackAlwaysDelimiterSequence;
  } // Look through the sequence


  const delimType = traverseSequence(delim, height, sequence, options); // Get the delimiter from font glyphs.
  // Depending on the sequence element we decided on, call the
  // appropriate function.

  if (delimType.type === "small") {
    return makeSmallDelim(delim, delimType.style, center, options, mode, classes);
  } else if (delimType.type === "large") {
    return makeLargeDelim(delim, delimType.size, center, options, mode, classes);
  } else
    /* if (delimType.type === "stack") */
    {
      return makeStackedDelim(delim, height, center, options, mode, classes);
    }
};
/**
 * Make a delimiter for use with `\left` and `\right`, given a height and depth
 * of an expression that the delimiters surround.
 */


const makeLeftRightDelim = function makeLeftRightDelim(delim, height, depth, options, mode, classes) {
  // We always center \left/\right delimiters, so the axis is always shifted
  const axisHeight = options.fontMetrics().axisHeight * options.sizeMultiplier; // Taken from TeX source, tex.web, function make_left_right

  const delimiterFactor = 901;
  const delimiterExtend = 5.0 / options.fontMetrics().ptPerEm;
  const maxDistFromAxis = Math.max(height - axisHeight, depth + axisHeight);
  const 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, classes);
};

var delimiter = {
  sqrtImage: makeSqrtImage,
  sizedDelim: makeSizedDelim,
  customSizedDelim: makeCustomSizedDelim,
  leftRightDelim: makeLeftRightDelim
};

// Extra data needed for the delimiter handler down below
const delimiterSizes = {
  "\\bigl": {
    mclass: "mopen",
    size: 1
  },
  "\\Bigl": {
    mclass: "mopen",
    size: 2
  },
  "\\biggl": {
    mclass: "mopen",
    size: 3
  },
  "\\Biggl": {
    mclass: "mopen",
    size: 4
  },
  "\\bigr": {
    mclass: "mclose",
    size: 1
  },
  "\\Bigr": {
    mclass: "mclose",
    size: 2
  },
  "\\biggr": {
    mclass: "mclose",
    size: 3
  },
  "\\Biggr": {
    mclass: "mclose",
    size: 4
  },
  "\\bigm": {
    mclass: "mrel",
    size: 1
  },
  "\\Bigm": {
    mclass: "mrel",
    size: 2
  },
  "\\biggm": {
    mclass: "mrel",
    size: 3
  },
  "\\Biggm": {
    mclass: "mrel",
    size: 4
  },
  "\\big": {
    mclass: "mord",
    size: 1
  },
  "\\Big": {
    mclass: "mord",
    size: 2
  },
  "\\bigg": {
    mclass: "mord",
    size: 3
  },
  "\\Bigg": {
    mclass: "mord",
    size: 4
  }
};
const delimiters = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "<", ">", "\\langle", "\u27e8", "\\rangle", "\u27e9", "\\lt", "\\gt", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1", "/", "\\backslash", "|", "\\vert", "\\|", "\\Vert", "\\uparrow", "\\Uparrow", "\\downarrow", "\\Downarrow", "\\updownarrow", "\\Updownarrow", "."];

// Delimiter functions
function checkDelimiter(delim, context) {
  const symDelim = checkSymbolNodeType(delim);

  if (symDelim && utils.contains(delimiters, symDelim.text)) {
    return symDelim;
  } else if (symDelim) {
    throw new ParseError(`Invalid delimiter '${symDelim.text}' after '${context.funcName}'`, delim);
  } else {
    throw new ParseError(`Invalid delimiter type '${delim.type}'`, delim);
  }
}

defineFunction({
  type: "delimsizing",
  names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"],
  props: {
    numArgs: 1
  },
  handler: (context, args) => {
    const delim = checkDelimiter(args[0], context);
    return {
      type: "delimsizing",
      mode: context.parser.mode,
      size: delimiterSizes[context.funcName].size,
      mclass: delimiterSizes[context.funcName].mclass,
      delim: delim.text
    };
  },
  htmlBuilder: (group, options) => {
    if (group.delim === ".") {
      // Empty delimiters still count as elements, even though they don't
      // show anything.
      return buildCommon.makeSpan([group.mclass]);
    } // Use delimiter.sizedDelim to generate the delimiter.


    return delimiter.sizedDelim(group.delim, group.size, options, group.mode, [group.mclass]);
  },
  mathmlBuilder: group => {
    const children = [];

    if (group.delim !== ".") {
      children.push(makeText(group.delim, group.mode));
    }

    const node = new mathMLTree.MathNode("mo", children);

    if (group.mclass === "mopen" || group.mclass === "mclose") {
      // Only some of the delimsizing functions act as fences, and they
      // return "mopen" or "mclose" mclass.
      node.setAttribute("fence", "true");
    } else {
      // Explicitly disable fencing if it's not a fence, to override the
      // defaults.
      node.setAttribute("fence", "false");
    }

    return node;
  }
});

function assertParsed(group) {
  if (!group.body) {
    throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
  }
}

defineFunction({
  type: "leftright-right",
  names: ["\\right"],
  props: {
    numArgs: 1
  },
  handler: (context, args) => {
    // \left case below triggers parsing of \right in
    //   `const right = parser.parseFunction();`
    // uses this return value.
    const color = context.parser.gullet.macros.get("\\current@color");

    if (color && typeof color !== "string") {
      throw new ParseError("\\current@color set to non-string in \\right");
    }

    return {
      type: "leftright-right",
      mode: context.parser.mode,
      delim: checkDelimiter(args[0], context).text,
      color // undefined if not set via \color

    };
  }
});
defineFunction({
  type: "leftright",
  names: ["\\left"],
  props: {
    numArgs: 1
  },
  handler: (context, args) => {
    const delim = checkDelimiter(args[0], context);
    const parser = context.parser; // Parse out the implicit body

    ++parser.leftrightDepth; // parseExpression stops before '\\right'

    const body = parser.parseExpression(false);
    --parser.leftrightDepth; // Check the next token

    parser.expect("\\right", false);
    const right = assertNodeType(parser.parseFunction(), "leftright-right");
    return {
      type: "leftright",
      mode: parser.mode,
      body,
      left: delim.text,
      right: right.delim,
      rightColor: right.color
    };
  },
  htmlBuilder: (group, options) => {
    assertParsed(group); // Build the inner expression

    const inner = buildExpression(group.body, options, true, ["mopen", "mclose"]);
    let innerHeight = 0;
    let innerDepth = 0;
    let hadMiddle = false; // Calculate its height and depth

    for (let i = 0; i < inner.length; i++) {
      // Property `isMiddle` not defined on `span`. See comment in
      // "middle"'s htmlBuilder.
      // $FlowFixMe
      if (inner[i].isMiddle) {
        hadMiddle = true;
      } else {
        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.sizeMultiplier;
    innerDepth *= options.sizeMultiplier;
    let leftDelim;

    if (group.left === ".") {
      // Empty delimiters in \left and \right make null delimiter spaces.
      leftDelim = makeNullDelimiter(options, ["mopen"]);
    } else {
      // Otherwise, use leftRightDelim to generate the correct sized
      // delimiter.
      leftDelim = delimiter.leftRightDelim(group.left, innerHeight, innerDepth, options, group.mode, ["mopen"]);
    } // Add it to the beginning of the expression


    inner.unshift(leftDelim); // Handle middle delimiters

    if (hadMiddle) {
      for (let i = 1; i < inner.length; i++) {
        const middleDelim = inner[i]; // Property `isMiddle` not defined on `span`. See comment in
        // "middle"'s htmlBuilder.
        // $FlowFixMe

        const isMiddle = middleDelim.isMiddle;

        if (isMiddle) {
          // Apply the options that were active when \middle was called
          inner[i] = delimiter.leftRightDelim(isMiddle.delim, innerHeight, innerDepth, isMiddle.options, group.mode, []);
        }
      }
    }

    let rightDelim; // Same for the right delimiter, but using color specified by \color

    if (group.right === ".") {
      rightDelim = makeNullDelimiter(options, ["mclose"]);
    } else {
      const colorOptions = group.rightColor ? options.withColor(group.rightColor) : options;
      rightDelim = delimiter.leftRightDelim(group.right, innerHeight, innerDepth, colorOptions, group.mode, ["mclose"]);
    } // Add it to the end of the expression.


    inner.push(rightDelim);
    return buildCommon.makeSpan(["minner"], inner, options);
  },
  mathmlBuilder: (group, options) => {
    assertParsed(group);
    const inner = buildExpression$1(group.body, options);

    if (group.left !== ".") {
      const leftNode = new mathMLTree.MathNode("mo", [makeText(group.left, group.mode)]);
      leftNode.setAttribute("fence", "true");
      inner.unshift(leftNode);
    }

    if (group.right !== ".") {
      const rightNode = new mathMLTree.MathNode("mo", [makeText(group.right, group.mode)]);
      rightNode.setAttribute("fence", "true");

      if (group.rightColor) {
        rightNode.setAttribute("mathcolor", group.rightColor);
      }

      inner.push(rightNode);
    }

    return makeRow(inner);
  }
});
defineFunction({
  type: "middle",
  names: ["\\middle"],
  props: {
    numArgs: 1
  },
  handler: (context, args) => {
    const delim = checkDelimiter(args[0], context);

    if (!context.parser.leftrightDepth) {
      throw new ParseError("\\middle without preceding \\left", delim);
    }

    return {
      type: "middle",
      mode: context.parser.mode,
      delim: delim.text
    };
  },
  htmlBuilder: (group, options) => {
    let middleDelim;

    if (group.delim === ".") {
      middleDelim = makeNullDelimiter(options, []);
    } else {
      middleDelim = delimiter.sizedDelim(group.delim, 1, options, group.mode, []);
      const isMiddle = {
        delim: group.delim,
        options
      }; // Property `isMiddle` not defined on `span`. It is only used in
      // this file above.
      // TODO: Fix this violation of the `span` type and possibly rename
      // things since `isMiddle` sounds like a boolean, but is a struct.
      // $FlowFixMe

      middleDelim.isMiddle = isMiddle;
    }

    return middleDelim;
  },
  mathmlBuilder: (group, options) => {
    // A Firefox \middle will strech a character vertically only if it
    // is in the fence part of the operator dictionary at:
    // https://www.w3.org/TR/MathML3/appendixc.html.
    // So we need to avoid U+2223 and use plain "|" instead.
    const textNode = group.delim === "\\vert" || group.delim === "|" ? makeText("|", "text") : makeText(group.delim, group.mode);
    const middleNode = new mathMLTree.MathNode("mo", [textNode]);
    middleNode.setAttribute("fence", "true"); // MathML gives 5/18em spacing to each <mo> element.
    // \middle should get delimiter spacing instead.

    middleNode.setAttribute("lspace", "0.05em");
    middleNode.setAttribute("rspace", "0.05em");
    return middleNode;
  }
});

const htmlBuilder$2 = (group, options) => {
  // \cancel, \bcancel, \xcancel, \sout, \fbox, \colorbox, \fcolorbox
  // Some groups can return document fragments.  Handle those by wrapping
  // them in a span.
  const inner = buildCommon.wrapFragment(buildGroup(group.body, options), options);
  const label = group.label.substr(1);
  const scale = options.sizeMultiplier;
  let img;
  let imgShift = 0; // In the LaTeX cancel package, line geometry is slightly different
  // depending on whether the subject is wider than it is tall, or vice versa.
  // We don't know the width of a group, so as a proxy, we test if
  // the subject is a single character. This captures most of the
  // subjects that should get the "tall" treatment.

  const isSingleChar = utils.isCharacterBox(group.body);

  if (label === "sout") {
    img = buildCommon.makeSpan(["stretchy", "sout"]);
    img.height = options.fontMetrics().defaultRuleThickness / scale;
    imgShift = -0.5 * options.fontMetrics().xHeight;
  } else {
    // Add horizontal padding
    if (/cancel/.test(label)) {
      if (!isSingleChar) {
        inner.classes.push("cancel-pad");
      }
    } else {
      inner.classes.push("boxpad");
    } // Add vertical padding


    let vertPad = 0;
    let ruleThickness = 0; // ref: cancel package: \advance\totalheight2\p@ % "+2"

    if (/box/.test(label)) {
      ruleThickness = Math.max(options.fontMetrics().fboxrule, // default
      options.minRuleThickness // User override.
      );
      vertPad = options.fontMetrics().fboxsep + (label === "colorbox" ? 0 : ruleThickness);
    } else {
      vertPad = isSingleChar ? 0.2 : 0;
    }

    img = stretchy.encloseSpan(inner, label, vertPad, options);

    if (/fbox|boxed|fcolorbox/.test(label)) {
      img.style.borderStyle = "solid";
      img.style.borderWidth = `${ruleThickness}em`;
    }

    imgShift = inner.depth + vertPad;

    if (group.backgroundColor) {
      img.style.backgroundColor = group.backgroundColor;

      if (group.borderColor) {
        img.style.borderColor = group.borderColor;
      }
    }
  }

  let vlist;

  if (group.backgroundColor) {
    vlist = buildCommon.makeVList({
      positionType: "individualShift",
      children: [// Put the color background behind inner;
      {
        type: "elem",
        elem: img,
        shift: imgShift
      }, {
        type: "elem",
        elem: inner,
        shift: 0
      }]
    }, options);
  } else {
    vlist = buildCommon.makeVList({
      positionType: "individualShift",
      children: [// Write the \cancel stroke on top of inner.
      {
        type: "elem",
        elem: inner,
        shift: 0
      }, {
        type: "elem",
        elem: img,
        shift: imgShift,
        wrapperClasses: /cancel/.test(label) ? ["svg-align"] : []
      }]
    }, options);
  }

  if (/cancel/.test(label)) {
    // The cancel package documentation says that cancel lines add their height
    // to the expression, but tests show that isn't how it actually works.
    vlist.height = inner.height;
    vlist.depth = inner.depth;
  }

  if (/cancel/.test(label) && !isSingleChar) {
    // cancel does not create horiz space for its line extension.
    return buildCommon.makeSpan(["mord", "cancel-lap"], [vlist], options);
  } else {
    return buildCommon.makeSpan(["mord"], [vlist], options);
  }
};

const mathmlBuilder$2 = (group, options) => {
  let fboxsep = 0;
  const node = new mathMLTree.MathNode(group.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [buildGroup$1(group.body, options)]);

  switch (group.label) {
    case "\\cancel":
      node.setAttribute("notation", "updiagonalstrike");
      break;

    case "\\bcancel":
      node.setAttribute("notation", "downdiagonalstrike");
      break;

    case "\\sout":
      node.setAttribute("notation", "horizontalstrike");
      break;

    case "\\fbox":
      node.setAttribute("notation", "box");
      break;

    case "\\fcolorbox":
    case "\\colorbox":
      // <menclose> doesn't have a good notation option. So use <mpadded>
      // instead. Set some attributes that come included with <menclose>.
      fboxsep = options.fontMetrics().fboxsep * options.fontMetrics().ptPerEm;
      node.setAttribute("width", `+${2 * fboxsep}pt`);
      node.setAttribute("height", `+${2 * fboxsep}pt`);
      node.setAttribute("lspace", `${fboxsep}pt`); //

      node.setAttribute("voffset", `${fboxsep}pt`);

      if (group.label === "\\fcolorbox") {
        const thk = Math.max(options.fontMetrics().fboxrule, // default
        options.minRuleThickness // user override
        );
        node.setAttribute("style", "border: " + thk + "em solid " + String(group.borderColor));
      }

      break;

    case "\\xcancel":
      node.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
      break;
  }

  if (group.backgroundColor) {
    node.setAttribute("mathbackground", group.backgroundColor);
  }

  return node;
};

defineFunction({
  type: "enclose",
  names: ["\\colorbox"],
  props: {
    numArgs: 2,
    allowedInText: true,
    greediness: 3,
    argTypes: ["color", "text"]
  },

  handler(_ref, args, optArgs) {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const color = assertNodeType(args[0], "color-token").color;
    const body = args[1];
    return {
      type: "enclose",
      mode: parser.mode,
      label: funcName,
      backgroundColor: color,
      body
    };
  },

  htmlBuilder: htmlBuilder$2,
  mathmlBuilder: mathmlBuilder$2
});
defineFunction({
  type: "enclose",
  names: ["\\fcolorbox"],
  props: {
    numArgs: 3,
    allowedInText: true,
    greediness: 3,
    argTypes: ["color", "color", "text"]
  },

  handler(_ref2, args, optArgs) {
    let parser = _ref2.parser,
        funcName = _ref2.funcName;
    const borderColor = assertNodeType(args[0], "color-token").color;
    const backgroundColor = assertNodeType(args[1], "color-token").color;
    const body = args[2];
    return {
      type: "enclose",
      mode: parser.mode,
      label: funcName,
      backgroundColor,
      borderColor,
      body
    };
  },

  htmlBuilder: htmlBuilder$2,
  mathmlBuilder: mathmlBuilder$2
});
defineFunction({
  type: "enclose",
  names: ["\\fbox"],
  props: {
    numArgs: 1,
    argTypes: ["hbox"],
    allowedInText: true
  },

  handler(_ref3, args) {
    let parser = _ref3.parser;
    return {
      type: "enclose",
      mode: parser.mode,
      label: "\\fbox",
      body: args[0]
    };
  }

});
defineFunction({
  type: "enclose",
  names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout"],
  props: {
    numArgs: 1
  },

  handler(_ref4, args, optArgs) {
    let parser = _ref4.parser,
        funcName = _ref4.funcName;
    const body = args[0];
    return {
      type: "enclose",
      mode: parser.mode,
      label: funcName,
      body
    };
  },

  htmlBuilder: htmlBuilder$2,
  mathmlBuilder: mathmlBuilder$2
});

/**
 * All registered environments.
 * `environments.js` exports this same dictionary again and makes it public.
 * `Parser.js` requires this dictionary via `environments.js`.
 */
const _environments = {};
function defineEnvironment(_ref) {
  let type = _ref.type,
      names = _ref.names,
      props = _ref.props,
      handler = _ref.handler,
      htmlBuilder = _ref.htmlBuilder,
      mathmlBuilder = _ref.mathmlBuilder;
  // Set default values of environments.
  const data = {
    type,
    numArgs: props.numArgs || 0,
    greediness: 1,
    allowedInText: false,
    numOptionalArgs: 0,
    handler
  };

  for (let i = 0; i < names.length; ++i) {
    // TODO: The value type of _environments should be a type union of all
    // possible `EnvSpec<>` possibilities instead of `EnvSpec<*>`, which is
    // an existential type.
    // $FlowFixMe
    _environments[names[i]] = data;
  }

  if (htmlBuilder) {
    _htmlGroupBuilders[type] = htmlBuilder;
  }

  if (mathmlBuilder) {
    _mathmlGroupBuilders[type] = mathmlBuilder;
  }
}

function getHLines(parser) {
  // Return an array. The array length = number of hlines.
  // Each element in the array tells if the line is dashed.
  const hlineInfo = [];
  parser.consumeSpaces();
  let nxt = parser.fetch().text;

  while (nxt === "\\hline" || nxt === "\\hdashline") {
    parser.consume();
    hlineInfo.push(nxt === "\\hdashline");
    parser.consumeSpaces();
    nxt = parser.fetch().text;
  }

  return hlineInfo;
}
/**
 * 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.  If given an optional argument style
 * ("text", "display", etc.), then each cell is cast into that style.
 */


function parseArray(parser, _ref, style) {
  let hskipBeforeAndAfter = _ref.hskipBeforeAndAfter,
      addJot = _ref.addJot,
      cols = _ref.cols,
      arraystretch = _ref.arraystretch,
      colSeparationType = _ref.colSeparationType;
  // Parse body of array with \\ temporarily mapped to \cr
  parser.gullet.beginGroup();
  parser.gullet.macros.set("\\\\", "\\cr"); // Get current arraystretch if it's not set by the environment

  if (!arraystretch) {
    const stretch = parser.gullet.expandMacroAsText("\\arraystretch");

    if (stretch == null) {
      // Default \arraystretch from lttab.dtx
      arraystretch = 1;
    } else {
      arraystretch = parseFloat(stretch);

      if (!arraystretch || arraystretch < 0) {
        throw new ParseError(`Invalid \\arraystretch: ${stretch}`);
      }
    }
  } // Start group for first cell


  parser.gullet.beginGroup();
  let row = [];
  const body = [row];
  const rowGaps = [];
  const hLinesBeforeRow = []; // Test for \hline at the top of the array.

  hLinesBeforeRow.push(getHLines(parser));

  while (true) {
    // eslint-disable-line no-constant-condition
    // Parse each cell in its own group (namespace)
    let cell = parser.parseExpression(false, "\\cr");
    parser.gullet.endGroup();
    parser.gullet.beginGroup();
    cell = {
      type: "ordgroup",
      mode: parser.mode,
      body: cell
    };

    if (style) {
      cell = {
        type: "styling",
        mode: parser.mode,
        style,
        body: [cell]
      };
    }

    row.push(cell);
    const next = parser.fetch().text;

    if (next === "&") {
      parser.consume();
    } else if (next === "\\end") {
      // Arrays terminate newlines with `\crcr` which consumes a `\cr` if
      // the last line is empty.
      // NOTE: Currently, `cell` is the last item added into `row`.
      if (row.length === 1 && cell.type === "styling" && cell.body[0].body.length === 0) {
        body.pop();
      }

      if (hLinesBeforeRow.length < body.length + 1) {
        hLinesBeforeRow.push([]);
      }

      break;
    } else if (next === "\\cr") {
      const cr = assertNodeType(parser.parseFunction(), "cr");
      rowGaps.push(cr.size); // check for \hline(s) following the row separator

      hLinesBeforeRow.push(getHLines(parser));
      row = [];
      body.push(row);
    } else {
      throw new ParseError("Expected & or \\\\ or \\cr or \\end", parser.nextToken);
    }
  } // End cell group


  parser.gullet.endGroup(); // End array group defining \\

  parser.gullet.endGroup();
  return {
    type: "array",
    mode: parser.mode,
    addJot,
    arraystretch,
    body,
    cols,
    rowGaps,
    hskipBeforeAndAfter,
    hLinesBeforeRow,
    colSeparationType
  };
} // Decides on a style for cells in an array according to whether the given
// environment name starts with the letter 'd'.


function dCellStyle(envName) {
  if (envName.substr(0, 1) === "d") {
    return "display";
  } else {
    return "text";
  }
}

const htmlBuilder$3 = function htmlBuilder(group, options) {
  let r;
  let c;
  const nr = group.body.length;
  const hLinesBeforeRow = group.hLinesBeforeRow;
  let nc = 0;
  let body = new Array(nr);
  const hlines = [];
  const ruleThickness = Math.max( // From LaTeX \showthe\arrayrulewidth. Equals 0.04 em.
  options.fontMetrics().arrayRuleWidth, options.minRuleThickness // User override.
  ); // Horizontal spacing

  const pt = 1 / options.fontMetrics().ptPerEm;
  let arraycolsep = 5 * pt; // default value, i.e. \arraycolsep in article.cls

  if (group.colSeparationType && group.colSeparationType === "small") {
    // We're in a {smallmatrix}. Default column space is \thickspace,
    // i.e. 5/18em = 0.2778em, per amsmath.dtx for {smallmatrix}.
    // But that needs adjustment because LaTeX applies \scriptstyle to the
    // entire array, including the colspace, but this function applies
    // \scriptstyle only inside each element.
    const localMultiplier = options.havingStyle(Style$1.SCRIPT).sizeMultiplier;
    arraycolsep = 0.2778 * (localMultiplier / options.sizeMultiplier);
  } // Vertical spacing


  const baselineskip = 12 * pt; // see size10.clo
  // Default \jot from ltmath.dtx
  // TODO(edemaine): allow overriding \jot via \setlength (#687)

  const jot = 3 * pt;
  const arrayskip = group.arraystretch * baselineskip;
  const arstrutHeight = 0.7 * arrayskip; // \strutbox in ltfsstrc.dtx and

  const arstrutDepth = 0.3 * arrayskip; // \@arstrutbox in lttab.dtx

  let totalHeight = 0; // Set a position for \hline(s) at the top of the array, if any.

  function setHLinePos(hlinesInGap) {
    for (let i = 0; i < hlinesInGap.length; ++i) {
      if (i > 0) {
        totalHeight += 0.25;
      }

      hlines.push({
        pos: totalHeight,
        isDashed: hlinesInGap[i]
      });
    }
  }

  setHLinePos(hLinesBeforeRow[0]);

  for (r = 0; r < group.body.length; ++r) {
    const inrow = group.body[r];
    let height = arstrutHeight; // \@array adds an \@arstrut

    let depth = arstrutDepth; // to each tow (via the template)

    if (nc < inrow.length) {
      nc = inrow.length;
    }

    const outrow = new Array(inrow.length);

    for (c = 0; c < inrow.length; ++c) {
      const elt = buildGroup(inrow[c], options);

      if (depth < elt.depth) {
        depth = elt.depth;
      }

      if (height < elt.height) {
        height = elt.height;
      }

      outrow[c] = elt;
    }

    const rowGap = group.rowGaps[r];
    let gap = 0;

    if (rowGap) {
      gap = calculateSize(rowGap, options);

      if (gap > 0) {
        // \@argarraycr
        gap += arstrutDepth;

        if (depth < gap) {
          depth = gap; // \@xargarraycr
        }

        gap = 0;
      }
    } // In AMS multiline environments such as aligned and gathered, rows
    // correspond to lines that have additional \jot added to the
    // \baselineskip via \openup.


    if (group.addJot) {
      depth += jot;
    }

    outrow.height = height;
    outrow.depth = depth;
    totalHeight += height;
    outrow.pos = totalHeight;
    totalHeight += depth + gap; // \@yargarraycr

    body[r] = outrow; // Set a position for \hline(s), if any.

    setHLinePos(hLinesBeforeRow[r + 1]);
  }

  const offset = totalHeight / 2 + options.fontMetrics().axisHeight;
  const colDescriptions = group.cols || [];
  const cols = [];
  let colSep;
  let 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) {
    let colDescr = colDescriptions[colDescrNum] || {};
    let firstSeparator = true;

    while (colDescr.type === "separator") {
      // If there is more than one separator in a row, add a space
      // between them.
      if (!firstSeparator) {
        colSep = buildCommon.makeSpan(["arraycolsep"], []);
        colSep.style.width = options.fontMetrics().doubleRuleSep + "em";
        cols.push(colSep);
      }

      if (colDescr.separator === "|" || colDescr.separator === ":") {
        const lineType = colDescr.separator === "|" ? "solid" : "dashed";
        const separator = buildCommon.makeSpan(["vertical-separator"], [], options);
        separator.style.height = totalHeight + "em";
        separator.style.borderRightWidth = `${ruleThickness}em`;
        separator.style.borderRightStyle = lineType;
        separator.style.margin = `0 -${ruleThickness / 2}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;
    }

    let sepwidth;

    if (c > 0 || group.hskipBeforeAndAfter) {
      sepwidth = utils.deflt(colDescr.pregap, arraycolsep);

      if (sepwidth !== 0) {
        colSep = buildCommon.makeSpan(["arraycolsep"], []);
        colSep.style.width = sepwidth + "em";
        cols.push(colSep);
      }
    }

    let col = [];

    for (r = 0; r < nr; ++r) {
      const row = body[r];
      const elem = row[c];

      if (!elem) {
        continue;
      }

      const shift = row.pos - offset;
      elem.depth = row.depth;
      elem.height = row.height;
      col.push({
        type: "elem",
        elem: elem,
        shift: shift
      });
    }

    col = buildCommon.makeVList({
      positionType: "individualShift",
      children: col
    }, options);
    col = buildCommon.makeSpan(["col-align-" + (colDescr.align || "c")], [col]);
    cols.push(col);

    if (c < nc - 1 || group.hskipBeforeAndAfter) {
      sepwidth = utils.deflt(colDescr.postgap, arraycolsep);

      if (sepwidth !== 0) {
        colSep = buildCommon.makeSpan(["arraycolsep"], []);
        colSep.style.width = sepwidth + "em";
        cols.push(colSep);
      }
    }
  }

  body = buildCommon.makeSpan(["mtable"], cols); // Add \hline(s), if any.

  if (hlines.length > 0) {
    const line = buildCommon.makeLineSpan("hline", options, ruleThickness);
    const dashes = buildCommon.makeLineSpan("hdashline", options, ruleThickness);
    const vListElems = [{
      type: "elem",
      elem: body,
      shift: 0
    }];

    while (hlines.length > 0) {
      const hline = hlines.pop();
      const lineShift = hline.pos - offset;

      if (hline.isDashed) {
        vListElems.push({
          type: "elem",
          elem: dashes,
          shift: lineShift
        });
      } else {
        vListElems.push({
          type: "elem",
          elem: line,
          shift: lineShift
        });
      }
    }

    body = buildCommon.makeVList({
      positionType: "individualShift",
      children: vListElems
    }, options);
  }

  return buildCommon.makeSpan(["mord"], [body], options);
};

const alignMap = {
  c: "center ",
  l: "left ",
  r: "right "
};

const mathmlBuilder$3 = function mathmlBuilder(group, options) {
  let table = new mathMLTree.MathNode("mtable", group.body.map(function (row) {
    return new mathMLTree.MathNode("mtr", row.map(function (cell) {
      return new mathMLTree.MathNode("mtd", [buildGroup$1(cell, options)]);
    }));
  })); // Set column alignment, row spacing, column spacing, and
  // array lines by setting attributes on the table element.
  // Set the row spacing. In MathML, we specify a gap distance.
  // We do not use rowGap[] because MathML automatically increases
  // cell height with the height/depth of the element content.
  // LaTeX \arraystretch multiplies the row baseline-to-baseline distance.
  // We simulate this by adding (arraystretch - 1)em to the gap. This
  // does a reasonable job of adjusting arrays containing 1 em tall content.
  // The 0.16 and 0.09 values are found emprically. They produce an array
  // similar to LaTeX and in which content does not interfere with \hines.

  const gap = group.arraystretch === 0.5 ? 0.1 // {smallmatrix}, {subarray}
  : 0.16 + group.arraystretch - 1 + (group.addJot ? 0.09 : 0);
  table.setAttribute("rowspacing", gap + "em"); // MathML table lines go only between cells.
  // To place a line on an edge we'll use <menclose>, if necessary.

  let menclose = "";
  let align = "";

  if (group.cols && group.cols.length > 0) {
    // Find column alignment, column spacing, and  vertical lines.
    const cols = group.cols;
    let columnLines = "";
    let prevTypeWasAlign = false;
    let iStart = 0;
    let iEnd = cols.length;

    if (cols[0].type === "separator") {
      menclose += "top ";
      iStart = 1;
    }

    if (cols[cols.length - 1].type === "separator") {
      menclose += "bottom ";
      iEnd -= 1;
    }

    for (let i = iStart; i < iEnd; i++) {
      if (cols[i].type === "align") {
        align += alignMap[cols[i].align];

        if (prevTypeWasAlign) {
          columnLines += "none ";
        }

        prevTypeWasAlign = true;
      } else if (cols[i].type === "separator") {
        // MathML accepts only single lines between cells.
        // So we read only the first of consecutive separators.
        if (prevTypeWasAlign) {
          columnLines += cols[i].separator === "|" ? "solid " : "dashed ";
          prevTypeWasAlign = false;
        }
      }
    }

    table.setAttribute("columnalign", align.trim());

    if (/[sd]/.test(columnLines)) {
      table.setAttribute("columnlines", columnLines.trim());
    }
  } // Set column spacing.


  if (group.colSeparationType === "align") {
    const cols = group.cols || [];
    let spacing = "";

    for (let i = 1; i < cols.length; i++) {
      spacing += i % 2 ? "0em " : "1em ";
    }

    table.setAttribute("columnspacing", spacing.trim());
  } else if (group.colSeparationType === "alignat") {
    table.setAttribute("columnspacing", "0em");
  } else if (group.colSeparationType === "small") {
    table.setAttribute("columnspacing", "0.2778em");
  } else {
    table.setAttribute("columnspacing", "1em");
  } // Address \hline and \hdashline


  let rowLines = "";
  const hlines = group.hLinesBeforeRow;
  menclose += hlines[0].length > 0 ? "left " : "";
  menclose += hlines[hlines.length - 1].length > 0 ? "right " : "";

  for (let i = 1; i < hlines.length - 1; i++) {
    rowLines += hlines[i].length === 0 ? "none " // MathML accepts only a single line between rows. Read one element.
    : hlines[i][0] ? "dashed " : "solid ";
  }

  if (/[sd]/.test(rowLines)) {
    table.setAttribute("rowlines", rowLines.trim());
  }

  if (menclose !== "") {
    table = new mathMLTree.MathNode("menclose", [table]);
    table.setAttribute("notation", menclose.trim());
  }

  if (group.arraystretch && group.arraystretch < 1) {
    // A small array. Wrap in scriptstyle so row gap is not too large.
    table = new mathMLTree.MathNode("mstyle", [table]);
    table.setAttribute("scriptlevel", "1");
  }

  return table;
}; // Convenience function for aligned and alignedat environments.


const alignedHandler = function alignedHandler(context, args) {
  const cols = [];
  const res = parseArray(context.parser, {
    cols,
    addJot: true
  }, "display"); // Determining number of columns.
  // 1. If the first argument is given, we use it as a number of columns,
  //    and makes sure that each row doesn't exceed that number.
  // 2. Otherwise, just count number of columns = maximum number
  //    of cells in each row ("aligned" mode -- isAligned will be true).
  //
  // At the same time, prepend empty group {} at beginning of every second
  // cell in each row (starting with second cell) so that operators become
  // binary.  This behavior is implemented in amsmath's \start@aligned.

  let numMaths;
  let numCols = 0;
  const emptyGroup = {
    type: "ordgroup",
    mode: context.mode,
    body: []
  };

  if (args[0] && args[0].type === "ordgroup") {
    let arg0 = "";

    for (let i = 0; i < args[0].body.length; i++) {
      const textord = assertNodeType(args[0].body[i], "textord");
      arg0 += textord.text;
    }

    numMaths = Number(arg0);
    numCols = numMaths * 2;
  }

  const isAligned = !numCols;
  res.body.forEach(function (row) {
    for (let i = 1; i < row.length; i += 2) {
      // Modify ordgroup node within styling node
      const styling = assertNodeType(row[i], "styling");
      const ordgroup = assertNodeType(styling.body[0], "ordgroup");
      ordgroup.body.unshift(emptyGroup);
    }

    if (!isAligned) {
      // Case 1
      const curMaths = row.length / 2;

      if (numMaths < curMaths) {
        throw new ParseError("Too many math in a row: " + `expected ${numMaths}, but got ${curMaths}`, row[0]);
      }
    } else if (numCols < row.length) {
      // Case 2
      numCols = row.length;
    }
  }); // Adjusting alignment.
  // In aligned mode, we add one \qquad between columns;
  // otherwise we add nothing.

  for (let i = 0; i < numCols; ++i) {
    let align = "r";
    let pregap = 0;

    if (i % 2 === 1) {
      align = "l";
    } else if (i > 0 && isAligned) {
      // "aligned" mode.
      pregap = 1; // add one \quad
    }

    cols[i] = {
      type: "align",
      align: align,
      pregap: pregap,
      postgap: 0
    };
  }

  res.colSeparationType = isAligned ? "align" : "alignat";
  return res;
}; // Arrays are part of LaTeX, defined in lttab.dtx so its documentation
// is part of the source2e.pdf file of LaTeX2e source documentation.
// {darray} is an {array} environment where cells are set in \displaystyle,
// as defined in nccmath.sty.


defineEnvironment({
  type: "array",
  names: ["array", "darray"],
  props: {
    numArgs: 1
  },

  handler(context, args) {
    // Since no types are specified above, the two possibilities are
    // - The argument is wrapped in {} or [], in which case Parser's
    //   parseGroup() returns an "ordgroup" wrapping some symbol node.
    // - The argument is a bare symbol node.
    const symNode = checkSymbolNodeType(args[0]);
    const colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
    const cols = colalign.map(function (nde) {
      const node = assertSymbolNodeType(nde);
      const ca = node.text;

      if ("lcr".indexOf(ca) !== -1) {
        return {
          type: "align",
          align: ca
        };
      } else if (ca === "|") {
        return {
          type: "separator",
          separator: "|"
        };
      } else if (ca === ":") {
        return {
          type: "separator",
          separator: ":"
        };
      }

      throw new ParseError("Unknown column alignment: " + ca, nde);
    });
    const res = {
      cols,
      hskipBeforeAndAfter: true // \@preamble in lttab.dtx

    };
    return parseArray(context.parser, res, dCellStyle(context.envName));
  },

  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
}); // The matrix environments of amsmath builds on the array environment
// of LaTeX, which is discussed above.

defineEnvironment({
  type: "array",
  names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix"],
  props: {
    numArgs: 0
  },

  handler(context) {
    const delimiters = {
      "matrix": null,
      "pmatrix": ["(", ")"],
      "bmatrix": ["[", "]"],
      "Bmatrix": ["\\{", "\\}"],
      "vmatrix": ["|", "|"],
      "Vmatrix": ["\\Vert", "\\Vert"]
    }[context.envName]; // \hskip -\arraycolsep in amsmath

    const payload = {
      hskipBeforeAndAfter: false
    };
    const res = parseArray(context.parser, payload, dCellStyle(context.envName));
    return delimiters ? {
      type: "leftright",
      mode: context.mode,
      body: [res],
      left: delimiters[0],
      right: delimiters[1],
      rightColor: undefined // \right uninfluenced by \color in array

    } : res;
  },

  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
});
defineEnvironment({
  type: "array",
  names: ["smallmatrix"],
  props: {
    numArgs: 0
  },

  handler(context) {
    const payload = {
      arraystretch: 0.5
    };
    const res = parseArray(context.parser, payload, "script");
    res.colSeparationType = "small";
    return res;
  },

  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
});
defineEnvironment({
  type: "array",
  names: ["subarray"],
  props: {
    numArgs: 1
  },

  handler(context, args) {
    // Parsing of {subarray} is similar to {array}
    const symNode = checkSymbolNodeType(args[0]);
    const colalign = symNode ? [args[0]] : assertNodeType(args[0], "ordgroup").body;
    const cols = colalign.map(function (nde) {
      const node = assertSymbolNodeType(nde);
      const ca = node.text; // {subarray} only recognizes "l" & "c"

      if ("lc".indexOf(ca) !== -1) {
        return {
          type: "align",
          align: ca
        };
      }

      throw new ParseError("Unknown column alignment: " + ca, nde);
    });

    if (cols.length > 1) {
      throw new ParseError("{subarray} can contain only one column");
    }

    let res = {
      cols,
      hskipBeforeAndAfter: false,
      arraystretch: 0.5
    };
    res = parseArray(context.parser, res, "script");

    if (res.body.length > 0 && res.body[0].length > 1) {
      throw new ParseError("{subarray} can contain only one column");
    }

    return res;
  },

  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
}); // A cases environment (in amsmath.sty) is almost equivalent to
// \def\arraystretch{1.2}%
// \left\{\begin{array}{@{}l@{\quad}l@{}} … \end{array}\right.
// {dcases} is a {cases} environment where cells are set in \displaystyle,
// as defined in mathtools.sty.
// {rcases} is another mathtools environment. It's brace is on the right side.

defineEnvironment({
  type: "array",
  names: ["cases", "dcases", "rcases", "drcases"],
  props: {
    numArgs: 0
  },

  handler(context) {
    const payload = {
      arraystretch: 1.2,
      cols: [{
        type: "align",
        align: "l",
        pregap: 0,
        // TODO(kevinb) get the current style.
        // For now we use the metrics for TEXT style which is what we were
        // doing before.  Before attempting to get the current style we
        // should look at TeX's behavior especially for \over and matrices.
        postgap: 1.0
        /* 1em quad */

      }, {
        type: "align",
        align: "l",
        pregap: 0,
        postgap: 0
      }]
    };
    const res = parseArray(context.parser, payload, dCellStyle(context.envName));
    return {
      type: "leftright",
      mode: context.mode,
      body: [res],
      left: context.envName.indexOf("r") > -1 ? "." : "\\{",
      right: context.envName.indexOf("r") > -1 ? "\\}" : ".",
      rightColor: undefined
    };
  },

  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
}); // 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({
  type: "array",
  names: ["aligned"],
  props: {
    numArgs: 0
  },
  handler: alignedHandler,
  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
}); // A gathered environment is like an array environment with one centered
// column, but where rows are considered lines so get \jot line spacing
// and contents are set in \displaystyle.

defineEnvironment({
  type: "array",
  names: ["gathered"],
  props: {
    numArgs: 0
  },

  handler(context) {
    const res = {
      cols: [{
        type: "align",
        align: "c"
      }],
      addJot: true
    };
    return parseArray(context.parser, res, "display");
  },

  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
}); // alignat environment is like an align environment, but one must explicitly
// specify maximum number of columns in each row, and can adjust spacing between
// each columns.

defineEnvironment({
  type: "array",
  names: ["alignedat"],
  // One for numbered and for unnumbered;
  // but, KaTeX doesn't supports math numbering yet,
  // they make no difference for now.
  props: {
    numArgs: 1
  },
  handler: alignedHandler,
  htmlBuilder: htmlBuilder$3,
  mathmlBuilder: mathmlBuilder$3
}); // Catch \hline outside array environment

defineFunction({
  type: "text",
  // Doesn't matter what this is.
  names: ["\\hline", "\\hdashline"],
  props: {
    numArgs: 0,
    allowedInText: true,
    allowedInMath: true
  },

  handler(context, args) {
    throw new ParseError(`${context.funcName} valid only within array environment`);
  }

});

const environments = _environments;

// defineEnvironment definitions.
// $FlowFixMe, "environment" handler returns an environment ParseNode

defineFunction({
  type: "environment",
  names: ["\\begin", "\\end"],
  props: {
    numArgs: 1,
    argTypes: ["text"]
  },

  handler(_ref, args) {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const nameGroup = args[0];

    if (nameGroup.type !== "ordgroup") {
      throw new ParseError("Invalid environment name", nameGroup);
    }

    let envName = "";

    for (let i = 0; i < nameGroup.body.length; ++i) {
      envName += assertNodeType(nameGroup.body[i], "textord").text;
    }

    if (funcName === "\\begin") {
      // begin...end is similar to left...right
      if (!environments.hasOwnProperty(envName)) {
        throw new ParseError("No such environment: " + envName, nameGroup);
      } // Build the environment object. Arguments and other information will
      // be made available to the begin and end methods using properties.


      const env = environments[envName];

      const _parser$parseArgument = parser.parseArguments("\\begin{" + envName + "}", env),
            args = _parser$parseArgument.args,
            optArgs = _parser$parseArgument.optArgs;

      const context = {
        mode: parser.mode,
        envName,
        parser
      };
      const result = env.handler(context, args, optArgs);
      parser.expect("\\end", false);
      const endNameToken = parser.nextToken;
      const end = assertNodeType(parser.parseFunction(), "environment");

      if (end.name !== envName) {
        throw new ParseError(`Mismatch: \\begin{${envName}} matched by \\end{${end.name}}`, endNameToken);
      }

      return result;
    }

    return {
      type: "environment",
      mode: parser.mode,
      name: envName,
      nameGroup
    };
  }

});

const makeSpan$2 = buildCommon.makeSpan;

function htmlBuilder$4(group, options) {
  const elements = buildExpression(group.body, options, true);
  return makeSpan$2([group.mclass], elements, options);
}

function mathmlBuilder$4(group, options) {
  let node;
  const inner = buildExpression$1(group.body, options);

  if (group.mclass === "minner") {
    return mathMLTree.newDocumentFragment(inner);
  } else if (group.mclass === "mord") {
    if (group.isCharacterBox) {
      node = inner[0];
      node.type = "mi";
    } else {
      node = new mathMLTree.MathNode("mi", inner);
    }
  } else {
    if (group.isCharacterBox) {
      node = inner[0];
      node.type = "mo";
    } else {
      node = new mathMLTree.MathNode("mo", inner);
    } // Set spacing based on what is the most likely adjacent atom type.
    // See TeXbook p170.


    if (group.mclass === "mbin") {
      node.attributes.lspace = "0.22em"; // medium space

      node.attributes.rspace = "0.22em";
    } else if (group.mclass === "mpunct") {
      node.attributes.lspace = "0em";
      node.attributes.rspace = "0.17em"; // thinspace
    } else if (group.mclass === "mopen" || group.mclass === "mclose") {
      node.attributes.lspace = "0em";
      node.attributes.rspace = "0em";
    } // MathML <mo> default space is 5/18 em, so <mrel> needs no action.
    // Ref: https://developer.mozilla.org/en-US/docs/Web/MathML/Element/mo

  }

  return node;
} // Math class commands except \mathop


defineFunction({
  type: "mclass",
  names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
  props: {
    numArgs: 1
  },

  handler(_ref, args) {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const body = args[0];
    return {
      type: "mclass",
      mode: parser.mode,
      mclass: "m" + funcName.substr(5),
      // TODO(kevinb): don't prefix with 'm'
      body: ordargument(body),
      isCharacterBox: utils.isCharacterBox(body)
    };
  },

  htmlBuilder: htmlBuilder$4,
  mathmlBuilder: mathmlBuilder$4
});
const binrelClass = arg => {
  // \binrel@ spacing varies with (bin|rel|ord) of the atom in the argument.
  // (by rendering separately and with {}s before and after, and measuring
  // the change in spacing).  We'll do roughly the same by detecting the
  // atom type directly.
  const atom = arg.type === "ordgroup" && arg.body.length ? arg.body[0] : arg;

  if (atom.type === "atom" && (atom.family === "bin" || atom.family === "rel")) {
    return "m" + atom.family;
  } else {
    return "mord";
  }
}; // \@binrel{x}{y} renders like y but as mbin/mrel/mord if x is mbin/mrel/mord.
// This is equivalent to \binrel@{x}\binrel@@{y} in AMSTeX.

defineFunction({
  type: "mclass",
  names: ["\\@binrel"],
  props: {
    numArgs: 2
  },

  handler(_ref2, args) {
    let parser = _ref2.parser;
    return {
      type: "mclass",
      mode: parser.mode,
      mclass: binrelClass(args[0]),
      body: [args[1]],
      isCharacterBox: utils.isCharacterBox(args[1])
    };
  }

}); // Build a relation or stacked op by placing one symbol on top of another

defineFunction({
  type: "mclass",
  names: ["\\stackrel", "\\overset", "\\underset"],
  props: {
    numArgs: 2
  },

  handler(_ref3, args) {
    let parser = _ref3.parser,
        funcName = _ref3.funcName;
    const baseArg = args[1];
    const shiftedArg = args[0];
    let mclass;

    if (funcName !== "\\stackrel") {
      // LaTeX applies \binrel spacing to \overset and \underset.
      mclass = binrelClass(baseArg);
    } else {
      mclass = "mrel"; // for \stackrel
    }

    const baseOp = {
      type: "op",
      mode: baseArg.mode,
      limits: true,
      alwaysHandleSupSub: true,
      parentIsSupSub: false,
      symbol: false,
      suppressBaseShift: funcName !== "\\stackrel",
      body: ordargument(baseArg)
    };
    const supsub = {
      type: "supsub",
      mode: shiftedArg.mode,
      base: baseOp,
      sup: funcName === "\\underset" ? null : shiftedArg,
      sub: funcName === "\\underset" ? shiftedArg : null
    };
    return {
      type: "mclass",
      mode: parser.mode,
      mclass,
      body: [supsub],
      isCharacterBox: utils.isCharacterBox(supsub)
    };
  },

  htmlBuilder: htmlBuilder$4,
  mathmlBuilder: mathmlBuilder$4
});

// TODO(kevinb): implement \\sl and \\sc

const htmlBuilder$5 = (group, options) => {
  const font = group.font;
  const newOptions = options.withFont(font);
  return buildGroup(group.body, newOptions);
};

const mathmlBuilder$5 = (group, options) => {
  const font = group.font;
  const newOptions = options.withFont(font);
  return buildGroup$1(group.body, newOptions);
};

const fontAliases = {
  "\\Bbb": "\\mathbb",
  "\\bold": "\\mathbf",
  "\\frak": "\\mathfrak",
  "\\bm": "\\boldsymbol"
};
defineFunction({
  type: "font",
  names: [// styles, except \boldsymbol defined below
  "\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", // families
  "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", // aliases, except \bm defined below
  "\\Bbb", "\\bold", "\\frak"],
  props: {
    numArgs: 1,
    greediness: 2
  },
  handler: (_ref, args) => {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const body = args[0];
    let func = funcName;

    if (func in fontAliases) {
      func = fontAliases[func];
    }

    return {
      type: "font",
      mode: parser.mode,
      font: func.slice(1),
      body
    };
  },
  htmlBuilder: htmlBuilder$5,
  mathmlBuilder: mathmlBuilder$5
});
defineFunction({
  type: "mclass",
  names: ["\\boldsymbol", "\\bm"],
  props: {
    numArgs: 1,
    greediness: 2
  },
  handler: (_ref2, args) => {
    let parser = _ref2.parser;
    const body = args[0];
    const isCharacterBox = utils.isCharacterBox(body); // amsbsy.sty's \boldsymbol uses \binrel spacing to inherit the
    // argument's bin|rel|ord status

    return {
      type: "mclass",
      mode: parser.mode,
      mclass: binrelClass(body),
      body: [{
        type: "font",
        mode: parser.mode,
        font: "boldsymbol",
        body
      }],
      isCharacterBox: isCharacterBox
    };
  }
}); // Old font changing functions

defineFunction({
  type: "font",
  names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"],
  props: {
    numArgs: 0,
    allowedInText: true
  },
  handler: (_ref3, args) => {
    let parser = _ref3.parser,
        funcName = _ref3.funcName,
        breakOnTokenText = _ref3.breakOnTokenText;
    const mode = parser.mode;
    const body = parser.parseExpression(true, breakOnTokenText);
    const style = `math${funcName.slice(1)}`;
    return {
      type: "font",
      mode: mode,
      font: style,
      body: {
        type: "ordgroup",
        mode: parser.mode,
        body
      }
    };
  },
  htmlBuilder: htmlBuilder$5,
  mathmlBuilder: mathmlBuilder$5
});

const adjustStyle = (size, originalStyle) => {
  // Figure out what style this fraction should be in based on the
  // function used
  let style = originalStyle;

  if (size === "display") {
    // Get display style as a default.
    // If incoming style is sub/sup, use style.text() to get correct size.
    style = style.id >= Style$1.SCRIPT.id ? style.text() : Style$1.DISPLAY;
  } else if (size === "text" && style.size === Style$1.DISPLAY.size) {
    // We're in a \tfrac but incoming style is displaystyle, so:
    style = Style$1.TEXT;
  } else if (size === "script") {
    style = Style$1.SCRIPT;
  } else if (size === "scriptscript") {
    style = Style$1.SCRIPTSCRIPT;
  }

  return style;
};

const htmlBuilder$6 = (group, options) => {
  // Fractions are handled in the TeXbook on pages 444-445, rules 15(a-e).
  const style = adjustStyle(group.size, options.style);
  const nstyle = style.fracNum();
  const dstyle = style.fracDen();
  let newOptions;
  newOptions = options.havingStyle(nstyle);
  const numerm = buildGroup(group.numer, newOptions, options);

  if (group.continued) {
    // \cfrac inserts a \strut into the numerator.
    // Get \strut dimensions from TeXbook page 353.
    const hStrut = 8.5 / options.fontMetrics().ptPerEm;
    const dStrut = 3.5 / options.fontMetrics().ptPerEm;
    numerm.height = numerm.height < hStrut ? hStrut : numerm.height;
    numerm.depth = numerm.depth < dStrut ? dStrut : numerm.depth;
  }

  newOptions = options.havingStyle(dstyle);
  const denomm = buildGroup(group.denom, newOptions, options);
  let rule;
  let ruleWidth;
  let ruleSpacing;

  if (group.hasBarLine) {
    if (group.barSize) {
      ruleWidth = calculateSize(group.barSize, options);
      rule = buildCommon.makeLineSpan("frac-line", options, ruleWidth);
    } else {
      rule = buildCommon.makeLineSpan("frac-line", options);
    }

    ruleWidth = rule.height;
    ruleSpacing = rule.height;
  } else {
    rule = null;
    ruleWidth = 0;
    ruleSpacing = options.fontMetrics().defaultRuleThickness;
  } // Rule 15b


  let numShift;
  let clearance;
  let denomShift;

  if (style.size === Style$1.DISPLAY.size || group.size === "display") {
    numShift = options.fontMetrics().num1;

    if (ruleWidth > 0) {
      clearance = 3 * ruleSpacing;
    } else {
      clearance = 7 * ruleSpacing;
    }

    denomShift = options.fontMetrics().denom1;
  } else {
    if (ruleWidth > 0) {
      numShift = options.fontMetrics().num2;
      clearance = ruleSpacing;
    } else {
      numShift = options.fontMetrics().num3;
      clearance = 3 * ruleSpacing;
    }

    denomShift = options.fontMetrics().denom2;
  }

  let frac;

  if (!rule) {
    // Rule 15c
    const candidateClearance = numShift - numerm.depth - (denomm.height - denomShift);

    if (candidateClearance < clearance) {
      numShift += 0.5 * (clearance - candidateClearance);
      denomShift += 0.5 * (clearance - candidateClearance);
    }

    frac = buildCommon.makeVList({
      positionType: "individualShift",
      children: [{
        type: "elem",
        elem: denomm,
        shift: denomShift
      }, {
        type: "elem",
        elem: numerm,
        shift: -numShift
      }]
    }, options);
  } else {
    // Rule 15d
    const axisHeight = options.fontMetrics().axisHeight;

    if (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth) < clearance) {
      numShift += clearance - (numShift - numerm.depth - (axisHeight + 0.5 * ruleWidth));
    }

    if (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift) < clearance) {
      denomShift += clearance - (axisHeight - 0.5 * ruleWidth - (denomm.height - denomShift));
    }

    const midShift = -(axisHeight - 0.5 * ruleWidth);
    frac = buildCommon.makeVList({
      positionType: "individualShift",
      children: [{
        type: "elem",
        elem: denomm,
        shift: denomShift
      }, {
        type: "elem",
        elem: rule,
        shift: midShift
      }, {
        type: "elem",
        elem: numerm,
        shift: -numShift
      }]
    }, options);
  } // Since we manually change the style sometimes (with \dfrac or \tfrac),
  // account for the possible size change here.


  newOptions = options.havingStyle(style);
  frac.height *= newOptions.sizeMultiplier / options.sizeMultiplier;
  frac.depth *= newOptions.sizeMultiplier / options.sizeMultiplier; // Rule 15e

  let delimSize;

  if (style.size === Style$1.DISPLAY.size) {
    delimSize = options.fontMetrics().delim1;
  } else {
    delimSize = options.fontMetrics().delim2;
  }

  let leftDelim;
  let rightDelim;

  if (group.leftDelim == null) {
    leftDelim = makeNullDelimiter(options, ["mopen"]);
  } else {
    leftDelim = delimiter.customSizedDelim(group.leftDelim, delimSize, true, options.havingStyle(style), group.mode, ["mopen"]);
  }

  if (group.continued) {
    rightDelim = buildCommon.makeSpan([]); // zero width for \cfrac
  } else if (group.rightDelim == null) {
    rightDelim = makeNullDelimiter(options, ["mclose"]);
  } else {
    rightDelim = delimiter.customSizedDelim(group.rightDelim, delimSize, true, options.havingStyle(style), group.mode, ["mclose"]);
  }

  return buildCommon.makeSpan(["mord"].concat(newOptions.sizingClasses(options)), [leftDelim, buildCommon.makeSpan(["mfrac"], [frac]), rightDelim], options);
};

const mathmlBuilder$6 = (group, options) => {
  let node = new mathMLTree.MathNode("mfrac", [buildGroup$1(group.numer, options), buildGroup$1(group.denom, options)]);

  if (!group.hasBarLine) {
    node.setAttribute("linethickness", "0px");
  } else if (group.barSize) {
    const ruleWidth = calculateSize(group.barSize, options);
    node.setAttribute("linethickness", ruleWidth + "em");
  }

  const style = adjustStyle(group.size, options.style);

  if (style.size !== options.style.size) {
    node = new mathMLTree.MathNode("mstyle", [node]);
    const isDisplay = style.size === Style$1.DISPLAY.size ? "true" : "false";
    node.setAttribute("displaystyle", isDisplay);
    node.setAttribute("scriptlevel", "0");
  }

  if (group.leftDelim != null || group.rightDelim != null) {
    const withDelims = [];

    if (group.leftDelim != null) {
      const leftOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.leftDelim.replace("\\", ""))]);
      leftOp.setAttribute("fence", "true");
      withDelims.push(leftOp);
    }

    withDelims.push(node);

    if (group.rightDelim != null) {
      const rightOp = new mathMLTree.MathNode("mo", [new mathMLTree.TextNode(group.rightDelim.replace("\\", ""))]);
      rightOp.setAttribute("fence", "true");
      withDelims.push(rightOp);
    }

    return makeRow(withDelims);
  }

  return node;
};

defineFunction({
  type: "genfrac",
  names: ["\\cfrac", "\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", // can’t be entered directly
  "\\\\bracefrac", "\\\\brackfrac"],
  props: {
    numArgs: 2,
    greediness: 2
  },
  handler: (_ref, args) => {
    let parser = _ref.parser,
        funcName = _ref.funcName;
    const numer = args[0];
    const denom = args[1];
    let hasBarLine;
    let leftDelim = null;
    let rightDelim = null;
    let size = "auto";

    switch (funcName) {
      case "\\cfrac":
      case "\\dfrac":
      case "\\frac":
      case "\\tfrac":
        hasBarLine = true;
        break;

      case "\\\\atopfrac":
        hasBarLine = false;