!(function (t, e) {
"object" == typeof exports && "object" == typeof module ? (module.exports = e()) : "function" == typeof define && define.amd ? define([], e) : "object" == typeof exports ? (exports.katex = e()) : (t.katex = e());
})("undefined" != typeof self ? self : this, function () {
return (function (t) {
var e = {};
function r(a) {
if (e[a]) return e[a].exports;
var n = (e[a] = { i: a, l: !1, exports: {} });
return t[a].call(n.exports, n, n.exports, r), (n.l = !0), n.exports;
}
return (
(r.m = t),
(r.c = e),
(r.d = function (t, e, a) {
r.o(t, e) || Object.defineProperty(t, e, { enumerable: !0, get: a });
}),
(r.r = function (t) {
"undefined" != typeof Symbol && Symbol.toStringTag && Object.defineProperty(t, Symbol.toStringTag, { value: "Module" }), Object.defineProperty(t, "__esModule", { value: !0 });
}),
(r.t = function (t, e) {
if ((1 & e && (t = r(t)), 8 & e)) return t;
if (4 & e && "object" == typeof t && t && t.__esModule) return t;
var a = Object.create(null);
if ((r.r(a), Object.defineProperty(a, "default", { enumerable: !0, value: t }), 2 & e && "string" != typeof t))
for (var n in t)
r.d(
a,
n,
function (e) {
return t[e];
}.bind(null, n)
);
return a;
}),
(r.n = function (t) {
var e =
t && t.__esModule
? function () {
return t.default;
}
: function () {
return t;
};
return r.d(e, "a", e), e;
}),
(r.o = function (t, e) {
return Object.prototype.hasOwnProperty.call(t, e);
}),
(r.p = ""),
r((r.s = 1))
);
})([
function (t, e, r) {},
function (t, e, r) {
"use strict";
r.r(e);
r(0);
var a = (function () {
function t(t, e, r) {
(this.lexer = void 0), (this.start = void 0), (this.end = void 0), (this.lexer = t), (this.start = e), (this.end = r);
}
return (
(t.range = function (e, r) {
return r ? (e && e.loc && r.loc && e.loc.lexer === r.loc.lexer ? new t(e.loc.lexer, e.loc.start, r.loc.end) : null) : e && e.loc;
}),
t
);
})(),
n = (function () {
function t(t, e) {
(this.text = void 0), (this.loc = void 0), (this.text = t), (this.loc = e);
}
return (
(t.prototype.range = function (e, r) {
return new t(r, a.range(this, e));
}),
t
);
})(),
i = function t(e, r) {
this.position = void 0;
var a,
n = "KaTeX parse error: " + e,
i = r && r.loc;
if (i && i.start <= i.end) {
var o = i.lexer.input;
a = i.start;
var s = i.end;
a === o.length ? (n += " at end of input: ") : (n += " at position " + (a + 1) + ": ");
var h = o.slice(a, s).replace(/[^]/g, "$&\u0332");
n += (a > 15 ? "\u2026" + o.slice(a - 15, a) : o.slice(0, a)) + h + (s + 15 < o.length ? o.slice(s, s + 15) + "\u2026" : o.slice(s));
}
var l = new Error(n);
return (l.name = "ParseError"), (l.__proto__ = t.prototype), (l.position = a), l;
};
i.prototype.__proto__ = Error.prototype;
var o = i,
s = /([A-Z])/g,
h = { "&": "&", ">": ">", "<": "<", '"': """, "'": "'" },
l = /[&><"']/g;
var m = function t(e) {
return "ordgroup" === e.type ? (1 === e.body.length ? t(e.body[0]) : e) : "color" === e.type ? (1 === e.body.length ? t(e.body[0]) : e) : "font" === e.type ? t(e.body) : e;
},
c = {
contains: function (t, e) {
return -1 !== t.indexOf(e);
},
deflt: function (t, e) {
return void 0 === t ? e : t;
},
escape: function (t) {
return String(t).replace(l, function (t) {
return h[t];
});
},
hyphenate: function (t) {
return t.replace(s, "-$1").toLowerCase();
},
getBaseElem: m,
isCharacterBox: function (t) {
var e = m(t);
return "mathord" === e.type || "textord" === e.type || "atom" === e.type;
},
protocolFromUrl: function (t) {
var e = /^\s*([^\\\/#]*?)(?::|�*58|�*3a)/i.exec(t);
return null != e ? e[1] : "_relative";
},
},
u = (function () {
function t(t) {
(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),
(t = t || {}),
(this.displayMode = c.deflt(t.displayMode, !1)),
(this.output = c.deflt(t.output, "htmlAndMathml")),
(this.leqno = c.deflt(t.leqno, !1)),
(this.fleqn = c.deflt(t.fleqn, !1)),
(this.throwOnError = c.deflt(t.throwOnError, !0)),
(this.errorColor = c.deflt(t.errorColor, "#cc0000")),
(this.macros = t.macros || {}),
(this.minRuleThickness = Math.max(0, c.deflt(t.minRuleThickness, 0))),
(this.colorIsTextColor = c.deflt(t.colorIsTextColor, !1)),
(this.strict = c.deflt(t.strict, "warn")),
(this.trust = c.deflt(t.trust, !1)),
(this.maxSize = Math.max(0, c.deflt(t.maxSize, 1 / 0))),
(this.maxExpand = Math.max(0, c.deflt(t.maxExpand, 1e3)));
}
var e = t.prototype;
return (
(e.reportNonstrict = function (t, e, r) {
var a = this.strict;
if (("function" == typeof a && (a = a(t, e, r)), a && "ignore" !== a)) {
if (!0 === a || "error" === a) throw new o("LaTeX-incompatible input and strict mode is set to 'error': " + e + " [" + t + "]", r);
"warn" === a
? "undefined" != typeof console && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + e + " [" + t + "]")
: "undefined" != typeof console && console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '" + a + "': " + e + " [" + t + "]");
}
}),
(e.useStrictBehavior = function (t, e, r) {
var a = this.strict;
if ("function" == typeof a)
try {
a = a(t, e, r);
} catch (t) {
a = "error";
}
return (
!(!a || "ignore" === a) &&
(!0 === a ||
"error" === a ||
("warn" === a
? ("undefined" != typeof console && console.warn("LaTeX-incompatible input and strict mode is set to 'warn': " + e + " [" + t + "]"), !1)
: ("undefined" != typeof console && console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '" + a + "': " + e + " [" + t + "]"), !1)))
);
}),
(e.isTrusted = function (t) {
t.url && !t.protocol && (t.protocol = c.protocolFromUrl(t.url));
var e = "function" == typeof this.trust ? this.trust(t) : this.trust;
return Boolean(e);
}),
t
);
})(),
p = (function () {
function t(t, e, r) {
(this.id = void 0), (this.size = void 0), (this.cramped = void 0), (this.id = t), (this.size = e), (this.cramped = r);
}
var e = t.prototype;
return (
(e.sup = function () {
return d[f[this.id]];
}),
(e.sub = function () {
return d[g[this.id]];
}),
(e.fracNum = function () {
return d[x[this.id]];
}),
(e.fracDen = function () {
return d[v[this.id]];
}),
(e.cramp = function () {
return d[b[this.id]];
}),
(e.text = function () {
return d[y[this.id]];
}),
(e.isTight = function () {
return this.size >= 2;
}),
t
);
})(),
d = [new p(0, 0, !1), new p(1, 0, !0), new p(2, 1, !1), new p(3, 1, !0), new p(4, 2, !1), new p(5, 2, !0), new p(6, 3, !1), new p(7, 3, !0)],
f = [4, 5, 4, 5, 6, 7, 6, 7],
g = [5, 5, 5, 5, 7, 7, 7, 7],
x = [2, 3, 4, 5, 6, 7, 6, 7],
v = [3, 3, 5, 5, 7, 7, 7, 7],
b = [1, 1, 3, 3, 5, 5, 7, 7],
y = [0, 1, 2, 3, 2, 3, 2, 3],
w = { DISPLAY: d[0], TEXT: d[2], SCRIPT: d[4], SCRIPTSCRIPT: d[6] },
k = [
{
name: "latin",
blocks: [
[256, 591],
[768, 879],
],
},
{ name: "cyrillic", blocks: [[1024, 1279]] },
{ name: "brahmic", blocks: [[2304, 4255]] },
{ name: "georgian", blocks: [[4256, 4351]] },
{
name: "cjk",
blocks: [
[12288, 12543],
[19968, 40879],
[65280, 65376],
],
},
{ name: "hangul", blocks: [[44032, 55215]] },
];
var S = [];
function M(t) {
for (var e = 0; e < S.length; e += 2) if (t >= S[e] && t <= S[e + 1]) return !0;
return !1;
}
k.forEach(function (t) {
return t.blocks.forEach(function (t) {
return S.push.apply(S, t);
});
});
var z = {
doubleleftarrow:
"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",
doublerightarrow:
"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",
leftarrow:
"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",
leftbrace: "M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",
leftbraceunder:
"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",
leftgroup: "M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",
leftgroupunder: "M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",
leftharpoon:
"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",
leftharpoonplus:
"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",
leftharpoondown:
"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",
leftharpoondownplus:
"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",
lefthook:
"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",
leftlinesegment: "M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",
leftmapsto: "M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",
leftToFrom:
"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",
longequal: "M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",
midbrace:
"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",
midbraceunder:
"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",
oiintSize1:
"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",
oiintSize2:
"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",
oiiintSize1:
"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",
oiiintSize2:
"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",
rightarrow:
"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",
rightbrace:
"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",
rightbraceunder: "M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",
rightgroup: "M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",
rightgroupunder: "M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",
rightharpoon:
"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",
rightharpoonplus:
"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",
rightharpoondown:
"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",
rightharpoondownplus:
"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",
righthook:
"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",
rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",
rightToFrom:
"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",
twoheadleftarrow:
"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",
twoheadrightarrow:
"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",
tilde1:
"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",
tilde2:
"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",
tilde3:
"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",
tilde4:
"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",
vec:
"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",
widehat1: "M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",
widehat2: "M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",
widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",
widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",
baraboveleftarrow:
"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",
rightarrowabovebar:
"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",
baraboveshortleftharpoon:
"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",
rightharpoonaboveshortbar:
"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",
shortbaraboveleftharpoon:
"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",
shortrightharpoonabovebar:
"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z",
},
A = (function () {
function t(t) {
(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 = t),
(this.classes = []),
(this.height = 0),
(this.depth = 0),
(this.maxFontSize = 0),
(this.style = {});
}
var e = t.prototype;
return (
(e.hasClass = function (t) {
return c.contains(this.classes, t);
}),
(e.toNode = function () {
for (var t = document.createDocumentFragment(), e = 0; e < this.children.length; e++) t.appendChild(this.children[e].toNode());
return t;
}),
(e.toMarkup = function () {
for (var t = "", e = 0; e < this.children.length; e++) t += this.children[e].toMarkup();
return t;
}),
(e.toText = function () {
var t = function (t) {
return t.toText();
};
return this.children.map(t).join("");
}),
t
);
})(),
T = function (t) {
return t
.filter(function (t) {
return t;
})
.join(" ");
},
B = function (t, e, r) {
if (((this.classes = t || []), (this.attributes = {}), (this.height = 0), (this.depth = 0), (this.maxFontSize = 0), (this.style = r || {}), e)) {
e.style.isTight() && this.classes.push("mtight");
var a = e.getColor();
a && (this.style.color = a);
}
},
C = function (t) {
var e = document.createElement(t);
for (var r in ((e.className = T(this.classes)), this.style)) this.style.hasOwnProperty(r) && (e.style[r] = this.style[r]);
for (var a in this.attributes) this.attributes.hasOwnProperty(a) && e.setAttribute(a, this.attributes[a]);
for (var n = 0; n < this.children.length; n++) e.appendChild(this.children[n].toNode());
return e;
},
q = function (t) {
var e = "<" + t;
this.classes.length && (e += ' class="' + c.escape(T(this.classes)) + '"');
var r = "";
for (var a in this.style) this.style.hasOwnProperty(a) && (r += c.hyphenate(a) + ":" + this.style[a] + ";");
for (var n in (r && (e += ' style="' + c.escape(r) + '"'), this.attributes)) this.attributes.hasOwnProperty(n) && (e += " " + n + '="' + c.escape(this.attributes[n]) + '"');
e += ">";
for (var i = 0; i < this.children.length; i++) e += this.children[i].toMarkup();
return (e += "");
},
N = (function () {
function t(t, e, r, a) {
(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),
B.call(this, t, r, a),
(this.children = e || []);
}
var e = t.prototype;
return (
(e.setAttribute = function (t, e) {
this.attributes[t] = e;
}),
(e.hasClass = function (t) {
return c.contains(this.classes, t);
}),
(e.toNode = function () {
return C.call(this, "span");
}),
(e.toMarkup = function () {
return q.call(this, "span");
}),
t
);
})(),
I = (function () {
function t(t, e, r, a) {
(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),
B.call(this, e, a),
(this.children = r || []),
this.setAttribute("href", t);
}
var e = t.prototype;
return (
(e.setAttribute = function (t, e) {
this.attributes[t] = e;
}),
(e.hasClass = function (t) {
return c.contains(this.classes, t);
}),
(e.toNode = function () {
return C.call(this, "a");
}),
(e.toMarkup = function () {
return q.call(this, "a");
}),
t
);
})(),
R = (function () {
function t(t, e, r) {
(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 = e),
(this.src = t),
(this.classes = ["mord"]),
(this.style = r);
}
var e = t.prototype;
return (
(e.hasClass = function (t) {
return c.contains(this.classes, t);
}),
(e.toNode = function () {
var t = document.createElement("img");
for (var e in ((t.src = this.src), (t.alt = this.alt), (t.className = "mord"), this.style)) this.style.hasOwnProperty(e) && (t.style[e] = this.style[e]);
return t;
}),
(e.toMarkup = function () {
var t = "![" + this.alt + "](" + this.src + " )
= n[0] && t <= n[1]) return r.name;
}
return null;
})(this.text.charCodeAt(0));
h && this.classes.push(h + "_fallback"), /[\xee\xef\xed\xec]/.test(this.text) && (this.text = O[this.text]);
}
var e = t.prototype;
return (
(e.hasClass = function (t) {
return c.contains(this.classes, t);
}),
(e.toNode = function () {
var t = document.createTextNode(this.text),
e = null;
for (var r in (this.italic > 0 && ((e = document.createElement("span")).style.marginRight = this.italic + "em"),
this.classes.length > 0 && ((e = e || document.createElement("span")).className = T(this.classes)),
this.style))
this.style.hasOwnProperty(r) && ((e = e || document.createElement("span")).style[r] = this.style[r]);
return e ? (e.appendChild(t), e) : t;
}),
(e.toMarkup = function () {
var t = !1,
e = " 0 && (r += "margin-right:" + this.italic + "em;"), this.style)) this.style.hasOwnProperty(a) && (r += c.hyphenate(a) + ":" + this.style[a] + ";");
r && ((t = !0), (e += ' style="' + c.escape(r) + '"'));
var n = c.escape(this.text);
return t ? ((e += ">"), (e += n), (e += "")) : n;
}),
t
);
})(),
L = (function () {
function t(t, e) {
(this.children = void 0), (this.attributes = void 0), (this.children = t || []), (this.attributes = e || {});
}
var e = t.prototype;
return (
(e.toNode = function () {
var t = document.createElementNS("http://www.w3.org/2000/svg", "svg");
for (var e in this.attributes) Object.prototype.hasOwnProperty.call(this.attributes, e) && t.setAttribute(e, this.attributes[e]);
for (var r = 0; r < this.children.length; r++) t.appendChild(this.children[r].toNode());
return t;
}),
(e.toMarkup = function () {
var t = "" : "";
}),
t
);
})(),
P = (function () {
function t(t) {
(this.attributes = void 0), (this.attributes = t || {});
}
var e = t.prototype;
return (
(e.toNode = function () {
var t = document.createElementNS("http://www.w3.org/2000/svg", "line");
for (var e in this.attributes) Object.prototype.hasOwnProperty.call(this.attributes, e) && t.setAttribute(e, this.attributes[e]);
return t;
}),
(e.toMarkup = function () {
var t = "", ">"),
$("math", Z, et, ":", ":"),
$("math", Z, et, "\u2248", "\\approx", !0),
$("math", Z, et, "\u2245", "\\cong", !0),
$("math", Z, et, "\u2265", "\\ge"),
$("math", Z, et, "\u2265", "\\geq", !0),
$("math", Z, et, "\u2190", "\\gets"),
$("math", Z, et, ">", "\\gt"),
$("math", Z, et, "\u2208", "\\in", !0),
$("math", Z, et, "\ue020", "\\@not"),
$("math", Z, et, "\u2282", "\\subset", !0),
$("math", Z, et, "\u2283", "\\supset", !0),
$("math", Z, et, "\u2286", "\\subseteq", !0),
$("math", Z, et, "\u2287", "\\supseteq", !0),
$("math", K, et, "\u2288", "\\nsubseteq", !0),
$("math", K, et, "\u2289", "\\nsupseteq", !0),
$("math", Z, et, "\u22a8", "\\models"),
$("math", Z, et, "\u2190", "\\leftarrow", !0),
$("math", Z, et, "\u2264", "\\le"),
$("math", Z, et, "\u2264", "\\leq", !0),
$("math", Z, et, "<", "\\lt"),
$("math", Z, et, "\u2192", "\\rightarrow", !0),
$("math", Z, et, "\u2192", "\\to"),
$("math", K, et, "\u2271", "\\ngeq", !0),
$("math", K, et, "\u2270", "\\nleq", !0),
$("math", Z, "spacing", "\xa0", "\\ "),
$("math", Z, "spacing", "\xa0", "~"),
$("math", Z, "spacing", "\xa0", "\\space"),
$("math", Z, "spacing", "\xa0", "\\nobreakspace"),
$("text", Z, "spacing", "\xa0", "\\ "),
$("text", Z, "spacing", "\xa0", "~"),
$("text", Z, "spacing", "\xa0", "\\space"),
$("text", Z, "spacing", "\xa0", "\\nobreakspace"),
$("math", Z, "spacing", null, "\\nobreak"),
$("math", Z, "spacing", null, "\\allowbreak"),
$("math", Z, "punct", ",", ","),
$("math", Z, "punct", ";", ";"),
$("math", K, J, "\u22bc", "\\barwedge", !0),
$("math", K, J, "\u22bb", "\\veebar", !0),
$("math", Z, J, "\u2299", "\\odot", !0),
$("math", Z, J, "\u2295", "\\oplus", !0),
$("math", Z, J, "\u2297", "\\otimes", !0),
$("math", Z, "textord", "\u2202", "\\partial", !0),
$("math", Z, J, "\u2298", "\\oslash", !0),
$("math", K, J, "\u229a", "\\circledcirc", !0),
$("math", K, J, "\u22a1", "\\boxdot", !0),
$("math", Z, J, "\u25b3", "\\bigtriangleup"),
$("math", Z, J, "\u25bd", "\\bigtriangledown"),
$("math", Z, J, "\u2020", "\\dagger"),
$("math", Z, J, "\u22c4", "\\diamond"),
$("math", Z, J, "\u22c6", "\\star"),
$("math", Z, J, "\u25c3", "\\triangleleft"),
$("math", Z, J, "\u25b9", "\\triangleright"),
$("math", Z, "open", "{", "\\{"),
$("text", Z, "textord", "{", "\\{"),
$("text", Z, "textord", "{", "\\textbraceleft"),
$("math", Z, "close", "}", "\\}"),
$("text", Z, "textord", "}", "\\}"),
$("text", Z, "textord", "}", "\\textbraceright"),
$("math", Z, "open", "{", "\\lbrace"),
$("math", Z, "close", "}", "\\rbrace"),
$("math", Z, "open", "[", "\\lbrack"),
$("text", Z, "textord", "[", "\\lbrack"),
$("math", Z, "close", "]", "\\rbrack"),
$("text", Z, "textord", "]", "\\rbrack"),
$("math", Z, "open", "(", "\\lparen"),
$("math", Z, "close", ")", "\\rparen"),
$("text", Z, "textord", "<", "\\textless"),
$("text", Z, "textord", ">", "\\textgreater"),
$("math", Z, "open", "\u230a", "\\lfloor", !0),
$("math", Z, "close", "\u230b", "\\rfloor", !0),
$("math", Z, "open", "\u2308", "\\lceil", !0),
$("math", Z, "close", "\u2309", "\\rceil", !0),
$("math", Z, "textord", "\\", "\\backslash"),
$("math", Z, "textord", "\u2223", "|"),
$("math", Z, "textord", "\u2223", "\\vert"),
$("text", Z, "textord", "|", "\\textbar"),
$("math", Z, "textord", "\u2225", "\\|"),
$("math", Z, "textord", "\u2225", "\\Vert"),
$("text", Z, "textord", "\u2225", "\\textbardbl"),
$("text", Z, "textord", "~", "\\textasciitilde"),
$("text", Z, "textord", "\\", "\\textbackslash"),
$("text", Z, "textord", "^", "\\textasciicircum"),
$("math", Z, et, "\u2191", "\\uparrow", !0),
$("math", Z, et, "\u21d1", "\\Uparrow", !0),
$("math", Z, et, "\u2193", "\\downarrow", !0),
$("math", Z, et, "\u21d3", "\\Downarrow", !0),
$("math", Z, et, "\u2195", "\\updownarrow", !0),
$("math", Z, et, "\u21d5", "\\Updownarrow", !0),
$("math", Z, tt, "\u2210", "\\coprod"),
$("math", Z, tt, "\u22c1", "\\bigvee"),
$("math", Z, tt, "\u22c0", "\\bigwedge"),
$("math", Z, tt, "\u2a04", "\\biguplus"),
$("math", Z, tt, "\u22c2", "\\bigcap"),
$("math", Z, tt, "\u22c3", "\\bigcup"),
$("math", Z, tt, "\u222b", "\\int"),
$("math", Z, tt, "\u222b", "\\intop"),
$("math", Z, tt, "\u222c", "\\iint"),
$("math", Z, tt, "\u222d", "\\iiint"),
$("math", Z, tt, "\u220f", "\\prod"),
$("math", Z, tt, "\u2211", "\\sum"),
$("math", Z, tt, "\u2a02", "\\bigotimes"),
$("math", Z, tt, "\u2a01", "\\bigoplus"),
$("math", Z, tt, "\u2a00", "\\bigodot"),
$("math", Z, tt, "\u222e", "\\oint"),
$("math", Z, tt, "\u222f", "\\oiint"),
$("math", Z, tt, "\u2230", "\\oiiint"),
$("math", Z, tt, "\u2a06", "\\bigsqcup"),
$("math", Z, tt, "\u222b", "\\smallint"),
$("text", Z, "inner", "\u2026", "\\textellipsis"),
$("math", Z, "inner", "\u2026", "\\mathellipsis"),
$("text", Z, "inner", "\u2026", "\\ldots", !0),
$("math", Z, "inner", "\u2026", "\\ldots", !0),
$("math", Z, "inner", "\u22ef", "\\@cdots", !0),
$("math", Z, "inner", "\u22f1", "\\ddots", !0),
$("math", Z, "textord", "\u22ee", "\\varvdots"),
$("math", Z, "accent-token", "\u02ca", "\\acute"),
$("math", Z, "accent-token", "\u02cb", "\\grave"),
$("math", Z, "accent-token", "\xa8", "\\ddot"),
$("math", Z, "accent-token", "~", "\\tilde"),
$("math", Z, "accent-token", "\u02c9", "\\bar"),
$("math", Z, "accent-token", "\u02d8", "\\breve"),
$("math", Z, "accent-token", "\u02c7", "\\check"),
$("math", Z, "accent-token", "^", "\\hat"),
$("math", Z, "accent-token", "\u20d7", "\\vec"),
$("math", Z, "accent-token", "\u02d9", "\\dot"),
$("math", Z, "accent-token", "\u02da", "\\mathring"),
$("math", Z, Q, "\u0131", "\\imath", !0),
$("math", Z, Q, "\u0237", "\\jmath", !0),
$("text", Z, "textord", "\u0131", "\\i", !0),
$("text", Z, "textord", "\u0237", "\\j", !0),
$("text", Z, "textord", "\xdf", "\\ss", !0),
$("text", Z, "textord", "\xe6", "\\ae", !0),
$("text", Z, "textord", "\xe6", "\\ae", !0),
$("text", Z, "textord", "\u0153", "\\oe", !0),
$("text", Z, "textord", "\xf8", "\\o", !0),
$("text", Z, "textord", "\xc6", "\\AE", !0),
$("text", Z, "textord", "\u0152", "\\OE", !0),
$("text", Z, "textord", "\xd8", "\\O", !0),
$("text", Z, "accent-token", "\u02ca", "\\'"),
$("text", Z, "accent-token", "\u02cb", "\\`"),
$("text", Z, "accent-token", "\u02c6", "\\^"),
$("text", Z, "accent-token", "\u02dc", "\\~"),
$("text", Z, "accent-token", "\u02c9", "\\="),
$("text", Z, "accent-token", "\u02d8", "\\u"),
$("text", Z, "accent-token", "\u02d9", "\\."),
$("text", Z, "accent-token", "\u02da", "\\r"),
$("text", Z, "accent-token", "\u02c7", "\\v"),
$("text", Z, "accent-token", "\xa8", '\\"'),
$("text", Z, "accent-token", "\u02dd", "\\H"),
$("text", Z, "accent-token", "\u25ef", "\\textcircled");
var rt = { "--": !0, "---": !0, "``": !0, "''": !0 };
$("text", Z, "textord", "\u2013", "--"),
$("text", Z, "textord", "\u2013", "\\textendash"),
$("text", Z, "textord", "\u2014", "---"),
$("text", Z, "textord", "\u2014", "\\textemdash"),
$("text", Z, "textord", "\u2018", "`"),
$("text", Z, "textord", "\u2018", "\\textquoteleft"),
$("text", Z, "textord", "\u2019", "'"),
$("text", Z, "textord", "\u2019", "\\textquoteright"),
$("text", Z, "textord", "\u201c", "``"),
$("text", Z, "textord", "\u201c", "\\textquotedblleft"),
$("text", Z, "textord", "\u201d", "''"),
$("text", Z, "textord", "\u201d", "\\textquotedblright"),
$("math", Z, "textord", "\xb0", "\\degree", !0),
$("text", Z, "textord", "\xb0", "\\degree"),
$("text", Z, "textord", "\xb0", "\\textdegree", !0),
$("math", Z, Q, "\xa3", "\\pounds"),
$("math", Z, Q, "\xa3", "\\mathsterling", !0),
$("text", Z, Q, "\xa3", "\\pounds"),
$("text", Z, Q, "\xa3", "\\textsterling", !0),
$("math", K, "textord", "\u2720", "\\maltese"),
$("text", K, "textord", "\u2720", "\\maltese"),
$("text", Z, "spacing", "\xa0", "\\ "),
$("text", Z, "spacing", "\xa0", " "),
$("text", Z, "spacing", "\xa0", "~");
for (var at = 0; at < '0123456789/@."'.length; at++) {
var nt = '0123456789/@."'.charAt(at);
$("math", Z, "textord", nt, nt);
}
for (var it = 0; it < '0123456789!@*()-=+[]<>|";:?/.,'.length; it++) {
var ot = '0123456789!@*()-=+[]<>|";:?/.,'.charAt(it);
$("text", Z, "textord", ot, ot);
}
for (var st = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz", ht = 0; ht < st.length; ht++) {
var lt = st.charAt(ht);
$("math", Z, Q, lt, lt), $("text", Z, "textord", lt, lt);
}
$("math", K, "textord", "C", "\u2102"),
$("text", K, "textord", "C", "\u2102"),
$("math", K, "textord", "H", "\u210d"),
$("text", K, "textord", "H", "\u210d"),
$("math", K, "textord", "N", "\u2115"),
$("text", K, "textord", "N", "\u2115"),
$("math", K, "textord", "P", "\u2119"),
$("text", K, "textord", "P", "\u2119"),
$("math", K, "textord", "Q", "\u211a"),
$("text", K, "textord", "Q", "\u211a"),
$("math", K, "textord", "R", "\u211d"),
$("text", K, "textord", "R", "\u211d"),
$("math", K, "textord", "Z", "\u2124"),
$("text", K, "textord", "Z", "\u2124"),
$("math", Z, Q, "h", "\u210e"),
$("text", Z, Q, "h", "\u210e");
for (var mt = "", ct = 0; ct < st.length; ct++) {
var ut = st.charAt(ct);
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56320 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56372 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56424 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56580 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56736 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56788 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56840 + ct))),
$("text", Z, "textord", ut, mt),
$("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56944 + ct))),
$("text", Z, "textord", ut, mt),
ct < 26 && ($("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56632 + ct))), $("text", Z, "textord", ut, mt), $("math", Z, Q, ut, (mt = String.fromCharCode(55349, 56476 + ct))), $("text", Z, "textord", ut, mt));
}
$("math", Z, Q, "k", (mt = String.fromCharCode(55349, 56668))), $("text", Z, "textord", "k", mt);
for (var pt = 0; pt < 10; pt++) {
var dt = pt.toString();
$("math", Z, Q, dt, (mt = String.fromCharCode(55349, 57294 + pt))),
$("text", Z, "textord", dt, mt),
$("math", Z, Q, dt, (mt = String.fromCharCode(55349, 57314 + pt))),
$("text", Z, "textord", dt, mt),
$("math", Z, Q, dt, (mt = String.fromCharCode(55349, 57324 + pt))),
$("text", Z, "textord", dt, mt),
$("math", Z, Q, dt, (mt = String.fromCharCode(55349, 57334 + pt))),
$("text", Z, "textord", dt, mt);
}
for (var ft = 0; ft < "\xc7\xd0\xde\xe7\xfe".length; ft++) {
var gt = "\xc7\xd0\xde\xe7\xfe".charAt(ft);
$("math", Z, Q, gt, gt), $("text", Z, "textord", gt, gt);
}
$("text", Z, "textord", "\xf0", "\xf0"),
$("text", Z, "textord", "\u2013", "\u2013"),
$("text", Z, "textord", "\u2014", "\u2014"),
$("text", Z, "textord", "\u2018", "\u2018"),
$("text", Z, "textord", "\u2019", "\u2019"),
$("text", Z, "textord", "\u201c", "\u201c"),
$("text", Z, "textord", "\u201d", "\u201d");
var xt = [
["mathbf", "textbf", "Main-Bold"],
["mathbf", "textbf", "Main-Bold"],
["mathdefault", "textit", "Math-Italic"],
["mathdefault", "textit", "Math-Italic"],
["boldsymbol", "boldsymbol", "Main-BoldItalic"],
["boldsymbol", "boldsymbol", "Main-BoldItalic"],
["mathscr", "textscr", "Script-Regular"],
["", "", ""],
["", "", ""],
["", "", ""],
["mathfrak", "textfrak", "Fraktur-Regular"],
["mathfrak", "textfrak", "Fraktur-Regular"],
["mathbb", "textbb", "AMS-Regular"],
["mathbb", "textbb", "AMS-Regular"],
["", "", ""],
["", "", ""],
["mathsf", "textsf", "SansSerif-Regular"],
["mathsf", "textsf", "SansSerif-Regular"],
["mathboldsf", "textboldsf", "SansSerif-Bold"],
["mathboldsf", "textboldsf", "SansSerif-Bold"],
["mathitsf", "textitsf", "SansSerif-Italic"],
["mathitsf", "textitsf", "SansSerif-Italic"],
["", "", ""],
["", "", ""],
["mathtt", "texttt", "Typewriter-Regular"],
["mathtt", "texttt", "Typewriter-Regular"],
],
vt = [
["mathbf", "textbf", "Main-Bold"],
["", "", ""],
["mathsf", "textsf", "SansSerif-Regular"],
["mathboldsf", "textboldsf", "SansSerif-Bold"],
["mathtt", "texttt", "Typewriter-Regular"],
],
bt = [
[1, 1, 1],
[2, 1, 1],
[3, 1, 1],
[4, 2, 1],
[5, 2, 1],
[6, 3, 1],
[7, 4, 2],
[8, 6, 3],
[9, 7, 6],
[10, 8, 7],
[11, 10, 9],
],
yt = [0.5, 0.6, 0.7, 0.8, 0.9, 1, 1.2, 1.44, 1.728, 2.074, 2.488],
wt = function (t, e) {
return e.size < 2 ? t : bt[t - 1][e.size - 1];
},
kt = (function () {
function t(e) {
(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 = e.style),
(this.color = e.color),
(this.size = e.size || t.BASESIZE),
(this.textSize = e.textSize || this.size),
(this.phantom = !!e.phantom),
(this.font = e.font || ""),
(this.fontFamily = e.fontFamily || ""),
(this.fontWeight = e.fontWeight || ""),
(this.fontShape = e.fontShape || ""),
(this.sizeMultiplier = yt[this.size - 1]),
(this.maxSize = e.maxSize),
(this.minRuleThickness = e.minRuleThickness),
(this._fontMetrics = void 0);
}
var e = t.prototype;
return (
(e.extend = function (e) {
var r = {
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 (var a in e) e.hasOwnProperty(a) && (r[a] = e[a]);
return new t(r);
}),
(e.havingStyle = function (t) {
return this.style === t ? this : this.extend({ style: t, size: wt(this.textSize, t) });
}),
(e.havingCrampedStyle = function () {
return this.havingStyle(this.style.cramp());
}),
(e.havingSize = function (t) {
return this.size === t && this.textSize === t ? this : this.extend({ style: this.style.text(), size: t, textSize: t, sizeMultiplier: yt[t - 1] });
}),
(e.havingBaseStyle = function (e) {
e = e || this.style.text();
var r = wt(t.BASESIZE, e);
return this.size === r && this.textSize === t.BASESIZE && this.style === e ? this : this.extend({ style: e, size: r });
}),
(e.havingBaseSizing = function () {
var t;
switch (this.style.id) {
case 4:
case 5:
t = 3;
break;
case 6:
case 7:
t = 1;
break;
default:
t = 6;
}
return this.extend({ style: this.style.text(), size: t });
}),
(e.withColor = function (t) {
return this.extend({ color: t });
}),
(e.withPhantom = function () {
return this.extend({ phantom: !0 });
}),
(e.withFont = function (t) {
return this.extend({ font: t });
}),
(e.withTextFontFamily = function (t) {
return this.extend({ fontFamily: t, font: "" });
}),
(e.withTextFontWeight = function (t) {
return this.extend({ fontWeight: t, font: "" });
}),
(e.withTextFontShape = function (t) {
return this.extend({ fontShape: t, font: "" });
}),
(e.sizingClasses = function (t) {
return t.size !== this.size ? ["sizing", "reset-size" + t.size, "size" + this.size] : [];
}),
(e.baseSizingClasses = function () {
return this.size !== t.BASESIZE ? ["sizing", "reset-size" + this.size, "size" + t.BASESIZE] : [];
}),
(e.fontMetrics = function () {
return (
this._fontMetrics ||
(this._fontMetrics = (function (t) {
var e;
if (!Y[(e = t >= 5 ? 0 : t >= 3 ? 1 : 2)]) {
var r = (Y[e] = { cssEmPerMu: V.quad[e] / 18 });
for (var a in V) V.hasOwnProperty(a) && (r[a] = V[a][e]);
}
return Y[e];
})(this.size)),
this._fontMetrics
);
}),
(e.getColor = function () {
return this.phantom ? "transparent" : this.color;
}),
t
);
})();
kt.BASESIZE = 6;
var St = kt,
Mt = { pt: 1, mm: 7227 / 2540, cm: 7227 / 254, in: 72.27, bp: 1.00375, pc: 12, dd: 1238 / 1157, cc: 14856 / 1157, nd: 685 / 642, nc: 1370 / 107, sp: 1 / 65536, px: 1.00375 },
zt = { ex: !0, em: !0, mu: !0 },
At = function (t) {
return "string" != typeof t && (t = t.unit), t in Mt || t in zt || "ex" === t;
},
Tt = function (t, e) {
var r;
if (t.unit in Mt) r = Mt[t.unit] / e.fontMetrics().ptPerEm / e.sizeMultiplier;
else if ("mu" === t.unit) r = e.fontMetrics().cssEmPerMu;
else {
var a;
if (((a = e.style.isTight() ? e.havingStyle(e.style.text()) : e), "ex" === t.unit)) r = a.fontMetrics().xHeight;
else {
if ("em" !== t.unit) throw new o("Invalid unit: '" + t.unit + "'");
r = a.fontMetrics().quad;
}
a !== e && (r *= a.sizeMultiplier / e.sizeMultiplier);
}
return Math.min(t.number * r, e.maxSize);
},
Bt = ["\\imath", "\u0131", "\\jmath", "\u0237", "\\pounds", "\\mathsterling", "\\textsterling", "\xa3"],
Ct = function (t, e, r) {
return j[r][t] && j[r][t].replace && (t = j[r][t].replace), { value: t, metrics: G(t, e, r) };
},
qt = function (t, e, r, a, n) {
var i,
o = Ct(t, e, r),
s = o.metrics;
if (((t = o.value), s)) {
var h = s.italic;
("text" === r || (a && "mathit" === a.font)) && (h = 0), (i = new E(t, s.height, s.depth, h, s.skew, s.width, n));
} else "undefined" != typeof console && console.warn("No character metrics for '" + t + "' in style '" + e + "' and mode '" + r + "'"), (i = new E(t, 0, 0, 0, 0, 0, n));
if (a) {
(i.maxFontSize = a.sizeMultiplier), a.style.isTight() && i.classes.push("mtight");
var l = a.getColor();
l && (i.style.color = l);
}
return i;
},
Nt = function (t, e) {
if (T(t.classes) !== T(e.classes) || t.skew !== e.skew || t.maxFontSize !== e.maxFontSize) return !1;
for (var r in t.style) if (t.style.hasOwnProperty(r) && t.style[r] !== e.style[r]) return !1;
for (var a in e.style) if (e.style.hasOwnProperty(a) && t.style[a] !== e.style[a]) return !1;
return !0;
},
It = function (t) {
for (var e = 0, r = 0, a = 0, n = 0; n < t.children.length; n++) {
var i = t.children[n];
i.height > e && (e = i.height), i.depth > r && (r = i.depth), i.maxFontSize > a && (a = i.maxFontSize);
}
(t.height = e), (t.depth = r), (t.maxFontSize = a);
},
Rt = function (t, e, r, a) {
var n = new N(t, e, r, a);
return It(n), n;
},
Ot = function (t, e, r, a) {
return new N(t, e, r, a);
},
Et = function (t) {
var e = new A(t);
return It(e), e;
},
Lt = function (t, e, r) {
var a = "";
switch (t) {
case "amsrm":
a = "AMS";
break;
case "textrm":
a = "Main";
break;
case "textsf":
a = "SansSerif";
break;
case "texttt":
a = "Typewriter";
break;
default:
a = t;
}
return a + "-" + ("textbf" === e && "textit" === r ? "BoldItalic" : "textbf" === e ? "Bold" : "textit" === e ? "Italic" : "Regular");
},
Ht = {
mathbf: { variant: "bold", fontName: "Main-Bold" },
mathrm: { variant: "normal", fontName: "Main-Regular" },
textit: { variant: "italic", fontName: "Main-Italic" },
mathit: { variant: "italic", fontName: "Main-Italic" },
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" },
},
Pt = { vec: ["vec", 0.471, 0.714], oiintSize1: ["oiintSize1", 0.957, 0.499], oiintSize2: ["oiintSize2", 1.472, 0.659], oiiintSize1: ["oiiintSize1", 1.304, 0.499], oiiintSize2: ["oiiintSize2", 1.98, 0.659] },
Dt = {
fontMap: Ht,
makeSymbol: qt,
mathsym: function (t, e, r, a) {
return (
void 0 === a && (a = []),
"boldsymbol" === r.font && Ct(t, "Main-Bold", e).metrics
? qt(t, "Main-Bold", e, r, a.concat(["mathbf"]))
: "\\" === t || "main" === j[e][t].font
? qt(t, "Main-Regular", e, r, a)
: qt(t, "AMS-Regular", e, r, a.concat(["amsrm"]))
);
},
makeSpan: Rt,
makeSvgSpan: Ot,
makeLineSpan: function (t, e, r) {
var a = Rt([t], [], e);
return (a.height = Math.max(r || e.fontMetrics().defaultRuleThickness, e.minRuleThickness)), (a.style.borderBottomWidth = a.height + "em"), (a.maxFontSize = 1), a;
},
makeAnchor: function (t, e, r, a) {
var n = new I(t, e, r, a);
return It(n), n;
},
makeFragment: Et,
wrapFragment: function (t, e) {
return t instanceof A ? Rt([], [t], e) : t;
},
makeVList: function (t, e) {
for (
var r = (function (t) {
if ("individualShift" === t.positionType) {
for (var e = t.children, r = [e[0]], a = -e[0].shift - e[0].elem.depth, n = a, i = 1; i < e.length; i++) {
var o = -e[i].shift - n - e[i].elem.depth,
s = o - (e[i - 1].elem.height + e[i - 1].elem.depth);
(n += o), r.push({ type: "kern", size: s }), r.push(e[i]);
}
return { children: r, depth: a };
}
var h;
if ("top" === t.positionType) {
for (var l = t.positionData, m = 0; m < t.children.length; m++) {
var c = t.children[m];
l -= "kern" === c.type ? c.size : c.elem.height + c.elem.depth;
}
h = l;
} else if ("bottom" === t.positionType) h = -t.positionData;
else {
var u = t.children[0];
if ("elem" !== u.type) throw new Error('First child must have type "elem".');
if ("shift" === t.positionType) h = -u.elem.depth - t.positionData;
else {
if ("firstBaseline" !== t.positionType) throw new Error("Invalid positionType " + t.positionType + ".");
h = -u.elem.depth;
}
}
return { children: t.children, depth: h };
})(t),
a = r.children,
n = r.depth,
i = 0,
o = 0;
o < a.length;
o++
) {
var s = a[o];
if ("elem" === s.type) {
var h = s.elem;
i = Math.max(i, h.maxFontSize, h.height);
}
}
i += 2;
var l = Rt(["pstrut"], []);
l.style.height = i + "em";
for (var m = [], c = n, u = n, p = n, d = 0; d < a.length; d++) {
var f = a[d];
if ("kern" === f.type) p += f.size;
else {
var g = f.elem,
x = f.wrapperClasses || [],
v = f.wrapperStyle || {},
b = Rt(x, [l, g], void 0, v);
(b.style.top = -i - p - g.depth + "em"), f.marginLeft && (b.style.marginLeft = f.marginLeft), f.marginRight && (b.style.marginRight = f.marginRight), m.push(b), (p += g.height + g.depth);
}
(c = Math.min(c, p)), (u = Math.max(u, p));
}
var y,
w = Rt(["vlist"], m);
if (((w.style.height = u + "em"), c < 0)) {
var k = Rt([], []),
S = Rt(["vlist"], [k]);
S.style.height = -c + "em";
var M = Rt(["vlist-s"], [new E("\u200b")]);
y = [Rt(["vlist-r"], [w, M]), Rt(["vlist-r"], [S])];
} else y = [Rt(["vlist-r"], [w])];
var z = Rt(["vlist-t"], y);
return 2 === y.length && z.classes.push("vlist-t2"), (z.height = u), (z.depth = -c), z;
},
makeOrd: function (t, e, r) {
var a,
n = t.mode,
i = t.text,
s = ["mord"],
h = "math" === n || ("text" === n && e.font),
l = h ? e.font : e.fontFamily;
if (55349 === i.charCodeAt(0)) {
var m = (function (t, e) {
var r = 1024 * (t.charCodeAt(0) - 55296) + (t.charCodeAt(1) - 56320) + 65536,
a = "math" === e ? 0 : 1;
if (119808 <= r && r < 120484) {
var n = Math.floor((r - 119808) / 26);
return [xt[n][2], xt[n][a]];
}
if (120782 <= r && r <= 120831) {
var i = Math.floor((r - 120782) / 10);
return [vt[i][2], vt[i][a]];
}
if (120485 === r || 120486 === r) return [xt[0][2], xt[0][a]];
if (120486 < r && r < 120782) return ["", ""];
throw new o("Unsupported character: " + t);
})(i, n),
u = m[0],
p = m[1];
return qt(i, u, n, e, s.concat(p));
}
if (l) {
var d, f;
if ("boldsymbol" === l || "mathnormal" === l) {
var g =
"boldsymbol" === l
? (function (t, e, r, a) {
return Ct(t, "Math-BoldItalic", e).metrics ? { fontName: "Math-BoldItalic", fontClass: "boldsymbol" } : { fontName: "Main-Bold", fontClass: "mathbf" };
})(i, n)
: ((a = i),
c.contains(Bt, a)
? { fontName: "Main-Italic", fontClass: "mathit" }
: /[0-9]/.test(a.charAt(0))
? { fontName: "Caligraphic-Regular", fontClass: "mathcal" }
: { fontName: "Math-Italic", fontClass: "mathdefault" });
(d = g.fontName), (f = [g.fontClass]);
} else c.contains(Bt, i) ? ((d = "Main-Italic"), (f = ["mathit"])) : h ? ((d = Ht[l].fontName), (f = [l])) : ((d = Lt(l, e.fontWeight, e.fontShape)), (f = [l, e.fontWeight, e.fontShape]));
if (Ct(i, d, n).metrics) return qt(i, d, n, e, s.concat(f));
if (rt.hasOwnProperty(i) && "Typewriter" === d.substr(0, 10)) {
for (var x = [], v = 0; v < i.length; v++) x.push(qt(i[v], d, n, e, s.concat(f)));
return Et(x);
}
}
if ("mathord" === r) {
var b = (function (t, e, r, a) {
return /[0-9]/.test(t.charAt(0)) || c.contains(Bt, t) ? { fontName: "Main-Italic", fontClass: "mathit" } : { fontName: "Math-Italic", fontClass: "mathdefault" };
})(i);
return qt(i, b.fontName, n, e, s.concat([b.fontClass]));
}
if ("textord" === r) {
var y = j[n][i] && j[n][i].font;
if ("ams" === y) {
var w = Lt("amsrm", e.fontWeight, e.fontShape);
return qt(i, w, n, e, s.concat("amsrm", e.fontWeight, e.fontShape));
}
if ("main" !== y && y) {
var k = Lt(y, e.fontWeight, e.fontShape);
return qt(i, k, n, e, s.concat(k, e.fontWeight, e.fontShape));
}
var S = Lt("textrm", e.fontWeight, e.fontShape);
return qt(i, S, n, e, s.concat(e.fontWeight, e.fontShape));
}
throw new Error("unexpected type: " + r + " in makeOrd");
},
makeGlue: function (t, e) {
var r = Rt(["mspace"], [], e),
a = Tt(t, e);
return (r.style.marginRight = a + "em"), r;
},
staticSvg: function (t, e) {
var r = Pt[t],
a = r[0],
n = r[1],
i = r[2],
o = new H(a),
s = new L([o], { width: n + "em", height: i + "em", style: "width:" + n + "em", viewBox: "0 0 " + 1e3 * n + " " + 1e3 * i, preserveAspectRatio: "xMinYMin" }),
h = Ot(["overlay"], [s], e);
return (h.height = i), (h.style.height = i + "em"), (h.style.width = n + "em"), h;
},
svgData: Pt,
tryCombineChars: function (t) {
for (var e = 0; e < t.length - 1; e++) {
var r = t[e],
a = t[e + 1];
r instanceof E && a instanceof E && Nt(r, a) && ((r.text += a.text), (r.height = Math.max(r.height, a.height)), (r.depth = Math.max(r.depth, a.depth)), (r.italic = a.italic), t.splice(e + 1, 1), e--);
}
return t;
},
};
function Ft(t, e) {
var r = Vt(t, e);
if (!r) throw new Error("Expected node of type " + e + ", but got " + (t ? "node of type " + t.type : String(t)));
return r;
}
function Vt(t, e) {
return t && t.type === e ? t : null;
}
function Ut(t, e) {
var r = (function (t, e) {
return t && "atom" === t.type && t.family === e ? t : null;
})(t, e);
if (!r) throw new Error('Expected node of type "atom" and family "' + e + '", but got ' + (t ? ("atom" === t.type ? "atom of family " + t.family : "node of type " + t.type) : String(t)));
return r;
}
function Gt(t) {
var e = Yt(t);
if (!e) throw new Error("Expected node of symbol group type, but got " + (t ? "node of type " + t.type : String(t)));
return e;
}
function Yt(t) {
return t && ("atom" === t.type || X.hasOwnProperty(t.type)) ? t : null;
}
var Wt = { number: 3, unit: "mu" },
Xt = { number: 4, unit: "mu" },
_t = { number: 5, unit: "mu" },
jt = {
mord: { mop: Wt, mbin: Xt, mrel: _t, minner: Wt },
mop: { mord: Wt, mop: Wt, mrel: _t, minner: Wt },
mbin: { mord: Xt, mop: Xt, mopen: Xt, minner: Xt },
mrel: { mord: _t, mop: _t, mopen: _t, minner: _t },
mopen: {},
mclose: { mop: Wt, mbin: Xt, mrel: _t, minner: Wt },
mpunct: { mord: Wt, mop: Wt, mrel: _t, mopen: Wt, mclose: Wt, mpunct: Wt, minner: Wt },
minner: { mord: Wt, mop: Wt, mbin: Xt, mrel: _t, mopen: Wt, mpunct: Wt, minner: Wt },
},
$t = { mord: { mop: Wt }, mop: { mord: Wt, mop: Wt }, mbin: {}, mrel: {}, mopen: {}, mclose: { mop: Wt }, mpunct: {}, minner: { mop: Wt } },
Zt = {},
Kt = {},
Jt = {};
function Qt(t) {
for (
var e = t.type,
r = t.names,
a = t.props,
n = t.handler,
i = t.htmlBuilder,
o = t.mathmlBuilder,
s = {
type: e,
numArgs: a.numArgs,
argTypes: a.argTypes,
greediness: void 0 === a.greediness ? 1 : a.greediness,
allowedInText: !!a.allowedInText,
allowedInMath: void 0 === a.allowedInMath || a.allowedInMath,
numOptionalArgs: a.numOptionalArgs || 0,
infix: !!a.infix,
handler: n,
},
h = 0;
h < r.length;
++h
)
Zt[r[h]] = s;
e && (i && (Kt[e] = i), o && (Jt[e] = o));
}
function te(t) {
Qt({
type: t.type,
names: [],
props: { numArgs: 0 },
handler: function () {
throw new Error("Should never be called.");
},
htmlBuilder: t.htmlBuilder,
mathmlBuilder: t.mathmlBuilder,
});
}
var ee = function (t) {
var e = Vt(t, "ordgroup");
return e ? e.body : [t];
},
re = Dt.makeSpan,
ae = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"],
ne = ["rightmost", "mrel", "mclose", "mpunct"],
ie = { display: w.DISPLAY, text: w.TEXT, script: w.SCRIPT, scriptscript: w.SCRIPTSCRIPT },
oe = { mord: "mord", mop: "mop", mbin: "mbin", mrel: "mrel", mopen: "mopen", mclose: "mclose", mpunct: "mpunct", minner: "minner" },
se = function (t, e, r, a) {
void 0 === a && (a = [null, null]);
for (var n = [], i = 0; i < t.length; i++) {
var o = ue(t[i], e);
if (o instanceof A) {
var s = o.children;
n.push.apply(n, s);
} else n.push(o);
}
if (!r) return n;
var h = e;
if (1 === t.length) {
var l = Vt(t[0], "sizing") || Vt(t[0], "styling");
l && ("sizing" === l.type ? (h = e.havingSize(l.size)) : "styling" === l.type && (h = e.havingStyle(ie[l.style])));
}
var m = re([a[0] || "leftmost"], [], e),
u = re([a[1] || "rightmost"], [], e);
return (
he(
n,
function (t, e) {
var r = e.classes[0],
a = t.classes[0];
"mbin" === r && c.contains(ne, a) ? (e.classes[0] = "mord") : "mbin" === a && c.contains(ae, r) && (t.classes[0] = "mord");
},
{ node: m },
u
),
he(
n,
function (t, e) {
var r = me(e),
a = me(t),
n = r && a ? (t.hasClass("mtight") ? $t[r][a] : jt[r][a]) : null;
if (n) return Dt.makeGlue(n, h);
},
{ node: m },
u
),
n
);
},
he = function t(e, r, a, n) {
n && e.push(n);
for (var i = 0; i < e.length; i++) {
var o = e[i],
s = le(o);
if (s) t(s.children, r, a);
else if ("mspace" !== o.classes[0]) {
var h = r(o, a.node);
h && (a.insertAfter ? a.insertAfter(h) : (e.unshift(h), i++)),
(a.node = o),
(a.insertAfter = (function (t) {
return function (r) {
e.splice(t + 1, 0, r), i++;
};
})(i));
}
}
n && e.pop();
},
le = function (t) {
return t instanceof A || t instanceof I ? t : null;
},
me = function (t, e) {
return t
? (e &&
(t = (function t(e, r) {
var a = le(e);
if (a) {
var n = a.children;
if (n.length) {
if ("right" === r) return t(n[n.length - 1], "right");
if ("left" === r) return t(n[0], "left");
}
}
return e;
})(t, e)),
oe[t.classes[0]] || null)
: null;
},
ce = function (t, e) {
var r = ["nulldelimiter"].concat(t.baseSizingClasses());
return re(e.concat(r));
},
ue = function (t, e, r) {
if (!t) return re();
if (Kt[t.type]) {
var a = Kt[t.type](t, e);
if (r && e.size !== r.size) {
a = re(e.sizingClasses(r), [a], e);
var n = e.sizeMultiplier / r.sizeMultiplier;
(a.height *= n), (a.depth *= n);
}
return a;
}
throw new o("Got group of unknown type: '" + t.type + "'");
};
function pe(t, e) {
var r = re(["base"], t, e),
a = re(["strut"]);
return (a.style.height = r.height + r.depth + "em"), (a.style.verticalAlign = -r.depth + "em"), r.children.unshift(a), r;
}
function de(t, e) {
var r = null;
1 === t.length && "tag" === t[0].type && ((r = t[0].tag), (t = t[0].body));
for (var a, n = se(t, e, !0), i = [], o = [], s = 0; s < n.length; s++)
if ((o.push(n[s]), n[s].hasClass("mbin") || n[s].hasClass("mrel") || n[s].hasClass("allowbreak"))) {
for (var h = !1; s < n.length - 1 && n[s + 1].hasClass("mspace") && !n[s + 1].hasClass("newline"); ) s++, o.push(n[s]), n[s].hasClass("nobreak") && (h = !0);
h || (i.push(pe(o, e)), (o = []));
} else n[s].hasClass("newline") && (o.pop(), o.length > 0 && (i.push(pe(o, e)), (o = [])), i.push(n[s]));
o.length > 0 && i.push(pe(o, e)), r && (((a = pe(se(r, e, !0))).classes = ["tag"]), i.push(a));
var l = re(["katex-html"], i);
if ((l.setAttribute("aria-hidden", "true"), a)) {
var m = a.children[0];
(m.style.height = l.height + l.depth + "em"), (m.style.verticalAlign = -l.depth + "em");
}
return l;
}
function fe(t) {
return new A(t);
}
var ge = (function () {
function t(t, e) {
(this.type = void 0), (this.attributes = void 0), (this.children = void 0), (this.type = t), (this.attributes = {}), (this.children = e || []);
}
var e = t.prototype;
return (
(e.setAttribute = function (t, e) {
this.attributes[t] = e;
}),
(e.getAttribute = function (t) {
return this.attributes[t];
}),
(e.toNode = function () {
var t = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type);
for (var e in this.attributes) Object.prototype.hasOwnProperty.call(this.attributes, e) && t.setAttribute(e, this.attributes[e]);
for (var r = 0; r < this.children.length; r++) t.appendChild(this.children[r].toNode());
return t;
}),
(e.toMarkup = function () {
var t = "<" + this.type;
for (var e in this.attributes) Object.prototype.hasOwnProperty.call(this.attributes, e) && ((t += " " + e + '="'), (t += c.escape(this.attributes[e])), (t += '"'));
t += ">";
for (var r = 0; r < this.children.length; r++) t += this.children[r].toMarkup();
return (t += "");
}),
(e.toText = function () {
return this.children
.map(function (t) {
return t.toText();
})
.join("");
}),
t
);
})(),
xe = (function () {
function t(t) {
(this.text = void 0), (this.text = t);
}
var e = t.prototype;
return (
(e.toNode = function () {
return document.createTextNode(this.text);
}),
(e.toMarkup = function () {
return c.escape(this.toText());
}),
(e.toText = function () {
return this.text;
}),
t
);
})(),
ve = {
MathNode: ge,
TextNode: xe,
SpaceNode: (function () {
function t(t) {
(this.width = void 0),
(this.character = void 0),
(this.width = t),
(this.character =
t >= 0.05555 && t <= 0.05556
? "\u200a"
: t >= 0.1666 && t <= 0.1667
? "\u2009"
: t >= 0.2222 && t <= 0.2223
? "\u2005"
: t >= 0.2777 && t <= 0.2778
? "\u2005\u200a"
: t >= -0.05556 && t <= -0.05555
? "\u200a\u2063"
: t >= -0.1667 && t <= -0.1666
? "\u2009\u2063"
: t >= -0.2223 && t <= -0.2222
? "\u205f\u2063"
: t >= -0.2778 && t <= -0.2777
? "\u2005\u2063"
: null);
}
var e = t.prototype;
return (
(e.toNode = function () {
if (this.character) return document.createTextNode(this.character);
var t = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace");
return t.setAttribute("width", this.width + "em"), t;
}),
(e.toMarkup = function () {
return this.character ? "" + this.character + "" : '';
}),
(e.toText = function () {
return this.character ? this.character : " ";
}),
t
);
})(),
newDocumentFragment: fe,
},
be = function (t, e, r) {
return (
!j[e][t] || !j[e][t].replace || 55349 === t.charCodeAt(0) || (rt.hasOwnProperty(t) && r && ((r.fontFamily && "tt" === r.fontFamily.substr(4, 2)) || (r.font && "tt" === r.font.substr(4, 2)))) || (t = j[e][t].replace),
new ve.TextNode(t)
);
},
ye = function (t) {
return 1 === t.length ? t[0] : new ve.MathNode("mrow", t);
},
we = function (t, e) {
if ("texttt" === e.fontFamily) return "monospace";
if ("textsf" === e.fontFamily)
return "textit" === e.fontShape && "textbf" === e.fontWeight ? "sans-serif-bold-italic" : "textit" === e.fontShape ? "sans-serif-italic" : "textbf" === e.fontWeight ? "bold-sans-serif" : "sans-serif";
if ("textit" === e.fontShape && "textbf" === e.fontWeight) return "bold-italic";
if ("textit" === e.fontShape) return "italic";
if ("textbf" === e.fontWeight) return "bold";
var r = e.font;
if (!r || "mathnormal" === r) return null;
var a = t.mode;
if ("mathit" === r) return "italic";
if ("boldsymbol" === r) return "bold-italic";
if ("mathbf" === r) return "bold";
if ("mathbb" === r) return "double-struck";
if ("mathfrak" === r) return "fraktur";
if ("mathscr" === r || "mathcal" === r) return "script";
if ("mathsf" === r) return "sans-serif";
if ("mathtt" === r) return "monospace";
var n = t.text;
return c.contains(["\\imath", "\\jmath"], n) ? null : (j[a][n] && j[a][n].replace && (n = j[a][n].replace), G(n, Dt.fontMap[r].fontName, a) ? Dt.fontMap[r].variant : null);
},
ke = function (t, e, r) {
if (1 === t.length) {
var a = Me(t[0], e);
return r && a instanceof ge && "mo" === a.type && (a.setAttribute("lspace", "0em"), a.setAttribute("rspace", "0em")), [a];
}
for (var n, i = [], o = 0; o < t.length; o++) {
var s = Me(t[o], e);
if (s instanceof ge && n instanceof ge) {
if ("mtext" === s.type && "mtext" === n.type && s.getAttribute("mathvariant") === n.getAttribute("mathvariant")) {
var h;
(h = n.children).push.apply(h, s.children);
continue;
}
if ("mn" === s.type && "mn" === n.type) {
var l;
(l = n.children).push.apply(l, s.children);
continue;
}
if ("mi" === s.type && 1 === s.children.length && "mn" === n.type) {
var m = s.children[0];
if (m instanceof xe && "." === m.text) {
var c;
(c = n.children).push.apply(c, s.children);
continue;
}
} else if ("mi" === n.type && 1 === n.children.length) {
var u = n.children[0];
if (u instanceof xe && "\u0338" === u.text && ("mo" === s.type || "mi" === s.type || "mn" === s.type)) {
var p = s.children[0];
p instanceof xe && p.text.length > 0 && ((p.text = p.text.slice(0, 1) + "\u0338" + p.text.slice(1)), i.pop());
}
}
}
i.push(s), (n = s);
}
return i;
},
Se = function (t, e, r) {
return ye(ke(t, e, r));
},
Me = function (t, e) {
if (!t) return new ve.MathNode("mrow");
if (Jt[t.type]) return Jt[t.type](t, e);
throw new o("Got group of unknown type: '" + t.type + "'");
};
function ze(t, e, r, a) {
var n,
i = ke(t, r);
n = 1 === i.length && i[0] instanceof ge && c.contains(["mrow", "mtable"], i[0].type) ? i[0] : new ve.MathNode("mrow", i);
var o = new ve.MathNode("annotation", [new ve.TextNode(e)]);
o.setAttribute("encoding", "application/x-tex");
var s = new ve.MathNode("semantics", [n, o]),
h = new ve.MathNode("math", [s]);
h.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML");
var l = a ? "katex" : "katex-mathml";
return Dt.makeSpan([l], [h]);
}
var Ae = function (t) {
return new St({ style: t.displayMode ? w.DISPLAY : w.TEXT, maxSize: t.maxSize, minRuleThickness: t.minRuleThickness });
},
Te = function (t, e) {
if (e.displayMode) {
var r = ["katex-display"];
e.leqno && r.push("leqno"), e.fleqn && r.push("fleqn"), (t = Dt.makeSpan(r, [t]));
}
return t;
},
Be = function (t, e, r) {
var a,
n = Ae(r);
if ("mathml" === r.output) return ze(t, e, n, !0);
if ("html" === r.output) {
var i = de(t, n);
a = Dt.makeSpan(["katex"], [i]);
} else {
var o = ze(t, e, n, !1),
s = de(t, n);
a = Dt.makeSpan(["katex"], [o, s]);
}
return Te(a, r);
},
Ce = {
widehat: "^",
widecheck: "\u02c7",
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",
xleftequilibrium: "\u21cb",
},
qe = {
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],
xrightleftarrows: [["baraboveleftarrow", "rightarrowabovebar"], 1.75, 901],
xrightequilibrium: [["baraboveshortleftharpoon", "rightharpoonaboveshortbar"], 1.75, 716],
xleftequilibrium: [["shortbaraboveleftharpoon", "shortrightharpoonabovebar"], 1.75, 716],
},
Ne = function (t) {
return "ordgroup" === t.type ? t.body.length : 1;
},
Ie = function (t, e, r, a) {
var n,
i = t.height + t.depth + 2 * r;
if (/fbox|color/.test(e)) {
if (((n = Dt.makeSpan(["stretchy", e], [], a)), "fbox" === e)) {
var o = a.color && a.getColor();
o && (n.style.borderColor = o);
}
} else {
var s = [];
/^[bx]cancel$/.test(e) && s.push(new P({ x1: "0", y1: "0", x2: "100%", y2: "100%", "stroke-width": "0.046em" })),
/^x?cancel$/.test(e) && s.push(new P({ x1: "0", y1: "100%", x2: "100%", y2: "0", "stroke-width": "0.046em" }));
var h = new L(s, { width: "100%", height: i + "em" });
n = Dt.makeSvgSpan([], [h], a);
}
return (n.height = i), (n.style.height = i + "em"), n;
},
Re = function (t) {
var e = new ve.MathNode("mo", [new ve.TextNode(Ce[t.substr(1)])]);
return e.setAttribute("stretchy", "true"), e;
},
Oe = function (t, e) {
var r = (function () {
var r = 4e5,
a = t.label.substr(1);
if (c.contains(["widehat", "widecheck", "widetilde", "utilde"], a)) {
var n,
i,
o,
s = Ne(t.base);
if (s > 5) "widehat" === a || "widecheck" === a ? ((n = 420), (r = 2364), (o = 0.42), (i = a + "4")) : ((n = 312), (r = 2340), (o = 0.34), (i = "tilde4"));
else {
var h = [1, 1, 2, 2, 3, 3][s];
"widehat" === a || "widecheck" === a
? ((r = [0, 1062, 2364, 2364, 2364][h]), (n = [0, 239, 300, 360, 420][h]), (o = [0, 0.24, 0.3, 0.3, 0.36, 0.42][h]), (i = a + h))
: ((r = [0, 600, 1033, 2339, 2340][h]), (n = [0, 260, 286, 306, 312][h]), (o = [0, 0.26, 0.286, 0.3, 0.306, 0.34][h]), (i = "tilde" + h));
}
var l = new H(i),
m = new L([l], { width: "100%", height: o + "em", viewBox: "0 0 " + r + " " + n, preserveAspectRatio: "none" });
return { span: Dt.makeSvgSpan([], [m], e), minWidth: 0, height: o };
}
var u,
p,
d = [],
f = qe[a],
g = f[0],
x = f[1],
v = f[2],
b = v / 1e3,
y = g.length;
if (1 === y) (u = ["hide-tail"]), (p = [f[3]]);
else if (2 === y) (u = ["halfarrow-left", "halfarrow-right"]), (p = ["xMinYMin", "xMaxYMin"]);
else {
if (3 !== y) throw new Error("Correct katexImagesData or update code here to support\n " + y + " children.");
(u = ["brace-left", "brace-center", "brace-right"]), (p = ["xMinYMin", "xMidYMin", "xMaxYMin"]);
}
for (var w = 0; w < y; w++) {
var k = new H(g[w]),
S = new L([k], { width: "400em", height: b + "em", viewBox: "0 0 " + r + " " + v, preserveAspectRatio: p[w] + " slice" }),
M = Dt.makeSvgSpan([u[w]], [S], e);
if (1 === y) return { span: M, minWidth: x, height: b };
(M.style.height = b + "em"), d.push(M);
}
return { span: Dt.makeSpan(["stretchy"], d, e), minWidth: x, height: b };
})(),
a = r.span,
n = r.minWidth,
i = r.height;
return (a.height = i), (a.style.height = i + "em"), n > 0 && (a.style.minWidth = n + "em"), a;
},
Ee = function (t, e) {
var r,
a,
n,
i = Vt(t, "supsub");
i
? ((r = (a = Ft(i.base, "accent")).base),
(i.base = r),
(n = (function (t) {
if (t instanceof N) return t;
throw new Error("Expected span but got " + String(t) + ".");
})(ue(i, e))),
(i.base = a))
: (r = (a = Ft(t, "accent")).base);
var o = ue(r, e.havingCrampedStyle()),
s = 0;
if (a.isShifty && c.isCharacterBox(r)) {
var h = c.getBaseElem(r);
s = D(ue(h, e.havingCrampedStyle())).skew;
}
var l,
m = Math.min(o.height, e.fontMetrics().xHeight);
if (a.isStretchy)
(l = Oe(a, e)),
(l = Dt.makeVList(
{
positionType: "firstBaseline",
children: [
{ type: "elem", elem: o },
{ type: "elem", elem: l, wrapperClasses: ["svg-align"], wrapperStyle: s > 0 ? { width: "calc(100% - " + 2 * s + "em)", marginLeft: 2 * s + "em" } : void 0 },
],
},
e
));
else {
var u, p;
"\\vec" === a.label ? ((u = Dt.staticSvg("vec", e)), (p = Dt.svgData.vec[1])) : (((u = D((u = Dt.makeOrd({ mode: a.mode, text: a.label }, e, "textord")))).italic = 0), (p = u.width)),
(l = Dt.makeSpan(["accent-body"], [u]));
var d = "\\textcircled" === a.label;
d && (l.classes.push("accent-full"), (m = o.height));
var f = s;
d || (f -= p / 2),
(l.style.left = f + "em"),
"\\textcircled" === a.label && (l.style.top = ".2em"),
(l = Dt.makeVList(
{
positionType: "firstBaseline",
children: [
{ type: "elem", elem: o },
{ type: "kern", size: -m },
{ type: "elem", elem: l },
],
},
e
));
}
var g = Dt.makeSpan(["mord", "accent"], [l], e);
return n ? ((n.children[0] = g), (n.height = Math.max(g.height, n.height)), (n.classes[0] = "mord"), n) : g;
},
Le = function (t, e) {
var r = t.isStretchy ? Re(t.label) : new ve.MathNode("mo", [be(t.label, t.mode)]),
a = new ve.MathNode("mover", [Me(t.base, e), r]);
return a.setAttribute("accent", "true"), a;
},
He = new RegExp(
["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"]
.map(function (t) {
return "\\" + t;
})
.join("|")
);
Qt({
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: function (t, e) {
var r = e[0],
a = !He.test(t.funcName),
n = !a || "\\widehat" === t.funcName || "\\widetilde" === t.funcName || "\\widecheck" === t.funcName;
return { type: "accent", mode: t.parser.mode, label: t.funcName, isStretchy: a, isShifty: n, base: r };
},
htmlBuilder: Ee,
mathmlBuilder: Le,
}),
Qt({
type: "accent",
names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\r", "\\H", "\\v", "\\textcircled"],
props: { numArgs: 1, allowedInText: !0, allowedInMath: !1 },
handler: function (t, e) {
var r = e[0];
return { type: "accent", mode: t.parser.mode, label: t.funcName, isStretchy: !1, isShifty: !0, base: r };
},
htmlBuilder: Ee,
mathmlBuilder: Le,
}),
Qt({
type: "accentUnder",
names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0];
return { type: "accentUnder", mode: r.mode, label: a, base: n };
},
htmlBuilder: function (t, e) {
var r = ue(t.base, e),
a = Oe(t, e),
n = "\\utilde" === t.label ? 0.12 : 0,
i = Dt.makeVList(
{
positionType: "bottom",
positionData: a.height + n,
children: [
{ type: "elem", elem: a, wrapperClasses: ["svg-align"] },
{ type: "kern", size: n },
{ type: "elem", elem: r },
],
},
e
);
return Dt.makeSpan(["mord", "accentunder"], [i], e);
},
mathmlBuilder: function (t, e) {
var r = Re(t.label),
a = new ve.MathNode("munder", [Me(t.base, e), r]);
return a.setAttribute("accentunder", "true"), a;
},
});
var Pe = function (t) {
var e = new ve.MathNode("mpadded", t ? [t] : []);
return e.setAttribute("width", "+0.6em"), e.setAttribute("lspace", "0.3em"), e;
};
Qt({
type: "xArrow",
names: [
"\\xleftarrow",
"\\xrightarrow",
"\\xLeftarrow",
"\\xRightarrow",
"\\xleftrightarrow",
"\\xLeftrightarrow",
"\\xhookleftarrow",
"\\xhookrightarrow",
"\\xmapsto",
"\\xrightharpoondown",
"\\xrightharpoonup",
"\\xleftharpoondown",
"\\xleftharpoonup",
"\\xrightleftharpoons",
"\\xleftrightharpoons",
"\\xlongequal",
"\\xtwoheadrightarrow",
"\\xtwoheadleftarrow",
"\\xtofrom",
"\\xrightleftarrows",
"\\xrightequilibrium",
"\\xleftequilibrium",
],
props: { numArgs: 1, numOptionalArgs: 1 },
handler: function (t, e, r) {
var a = t.parser,
n = t.funcName;
return { type: "xArrow", mode: a.mode, label: n, body: e[0], below: r[0] };
},
htmlBuilder: function (t, e) {
var r,
a = e.style,
n = e.havingStyle(a.sup()),
i = Dt.wrapFragment(ue(t.body, n, e), e);
i.classes.push("x-arrow-pad"), t.below && ((n = e.havingStyle(a.sub())), (r = Dt.wrapFragment(ue(t.below, n, e), e)).classes.push("x-arrow-pad"));
var o,
s = Oe(t, e),
h = -e.fontMetrics().axisHeight + 0.5 * s.height,
l = -e.fontMetrics().axisHeight - 0.5 * s.height - 0.111;
if (((i.depth > 0.25 || "\\xleftequilibrium" === t.label) && (l -= i.depth), r)) {
var m = -e.fontMetrics().axisHeight + r.height + 0.5 * s.height + 0.111;
o = Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: i, shift: l },
{ type: "elem", elem: s, shift: h },
{ type: "elem", elem: r, shift: m },
],
},
e
);
} else
o = Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: i, shift: l },
{ type: "elem", elem: s, shift: h },
],
},
e
);
return o.children[0].children[0].children[1].classes.push("svg-align"), Dt.makeSpan(["mrel", "x-arrow"], [o], e);
},
mathmlBuilder: function (t, e) {
var r,
a = Re(t.label);
if (t.body) {
var n = Pe(Me(t.body, e));
if (t.below) {
var i = Pe(Me(t.below, e));
r = new ve.MathNode("munderover", [a, i, n]);
} else r = new ve.MathNode("mover", [a, n]);
} else if (t.below) {
var o = Pe(Me(t.below, e));
r = new ve.MathNode("munder", [a, o]);
} else (r = Pe()), (r = new ve.MathNode("mover", [a, r]));
return r;
},
}),
Qt({
type: "textord",
names: ["\\@char"],
props: { numArgs: 1, allowedInText: !0 },
handler: function (t, e) {
for (var r = t.parser, a = Ft(e[0], "ordgroup").body, n = "", i = 0; i < a.length; i++) {
n += Ft(a[i], "textord").text;
}
var s = parseInt(n);
if (isNaN(s)) throw new o("\\@char has non-numeric argument " + n);
return { type: "textord", mode: r.mode, text: String.fromCharCode(s) };
},
});
var De = function (t, e) {
var r = se(t.body, e.withColor(t.color), !1);
return Dt.makeFragment(r);
},
Fe = function (t, e) {
var r = ke(t.body, e.withColor(t.color)),
a = new ve.MathNode("mstyle", r);
return a.setAttribute("mathcolor", t.color), a;
};
Qt({
type: "color",
names: ["\\textcolor"],
props: { numArgs: 2, allowedInText: !0, greediness: 3, argTypes: ["color", "original"] },
handler: function (t, e) {
var r = t.parser,
a = Ft(e[0], "color-token").color,
n = e[1];
return { type: "color", mode: r.mode, color: a, body: ee(n) };
},
htmlBuilder: De,
mathmlBuilder: Fe,
}),
Qt({
type: "color",
names: ["\\color"],
props: { numArgs: 1, allowedInText: !0, greediness: 3, argTypes: ["color"] },
handler: function (t, e) {
var r = t.parser,
a = t.breakOnTokenText,
n = Ft(e[0], "color-token").color;
r.gullet.macros.set("\\current@color", n);
var i = r.parseExpression(!0, a);
return { type: "color", mode: r.mode, color: n, body: i };
},
htmlBuilder: De,
mathmlBuilder: Fe,
}),
Qt({
type: "cr",
names: ["\\cr", "\\newline"],
props: { numArgs: 0, numOptionalArgs: 1, argTypes: ["size"], allowedInText: !0 },
handler: function (t, e, r) {
var a = t.parser,
n = t.funcName,
i = r[0],
o = "\\cr" === n,
s = !1;
return (
o || (s = !a.settings.displayMode || !a.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline does nothing in display mode")),
{ type: "cr", mode: a.mode, newLine: s, newRow: o, size: i && Ft(i, "size").value }
);
},
htmlBuilder: function (t, e) {
if (t.newRow) throw new o("\\cr valid only within a tabular/array environment");
var r = Dt.makeSpan(["mspace"], [], e);
return t.newLine && (r.classes.push("newline"), t.size && (r.style.marginTop = Tt(t.size, e) + "em")), r;
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mspace");
return t.newLine && (r.setAttribute("linebreak", "newline"), t.size && r.setAttribute("height", Tt(t.size, e) + "em")), r;
},
});
var Ve = function (t, e, r) {
var a = G((j.math[t] && j.math[t].replace) || t, e, r);
if (!a) throw new Error("Unsupported symbol " + t + " and font size " + e + ".");
return a;
},
Ue = function (t, e, r, a) {
var n = r.havingBaseStyle(e),
i = Dt.makeSpan(a.concat(n.sizingClasses(r)), [t], r),
o = n.sizeMultiplier / r.sizeMultiplier;
return (i.height *= o), (i.depth *= o), (i.maxFontSize = n.sizeMultiplier), i;
},
Ge = function (t, e, r) {
var a = e.havingBaseStyle(r),
n = (1 - e.sizeMultiplier / a.sizeMultiplier) * e.fontMetrics().axisHeight;
t.classes.push("delimcenter"), (t.style.top = n + "em"), (t.height -= n), (t.depth += n);
},
Ye = function (t, e, r, a, n, i) {
var o = (function (t, e, r, a) {
return Dt.makeSymbol(t, "Size" + e + "-Regular", r, a);
})(t, e, n, a),
s = Ue(Dt.makeSpan(["delimsizing", "size" + e], [o], a), w.TEXT, a, i);
return r && Ge(s, a, w.TEXT), s;
},
We = function (t, e, r) {
var a;
return (a = "Size1-Regular" === e ? "delim-size1" : "delim-size4"), { type: "elem", elem: Dt.makeSpan(["delimsizinginner", a], [Dt.makeSpan([], [Dt.makeSymbol(t, e, r)])]) };
},
Xe = { type: "kern", size: -0.005 },
_e = function (t, e, r, a, n, i) {
var o, s, h, l;
(o = h = l = t), (s = null);
var m = "Size1-Regular";
"\\uparrow" === t
? (h = l = "\u23d0")
: "\\Uparrow" === t
? (h = l = "\u2016")
: "\\downarrow" === t
? (o = h = "\u23d0")
: "\\Downarrow" === t
? (o = h = "\u2016")
: "\\updownarrow" === t
? ((o = "\\uparrow"), (h = "\u23d0"), (l = "\\downarrow"))
: "\\Updownarrow" === t
? ((o = "\\Uparrow"), (h = "\u2016"), (l = "\\Downarrow"))
: "[" === t || "\\lbrack" === t
? ((o = "\u23a1"), (h = "\u23a2"), (l = "\u23a3"), (m = "Size4-Regular"))
: "]" === t || "\\rbrack" === t
? ((o = "\u23a4"), (h = "\u23a5"), (l = "\u23a6"), (m = "Size4-Regular"))
: "\\lfloor" === t || "\u230a" === t
? ((h = o = "\u23a2"), (l = "\u23a3"), (m = "Size4-Regular"))
: "\\lceil" === t || "\u2308" === t
? ((o = "\u23a1"), (h = l = "\u23a2"), (m = "Size4-Regular"))
: "\\rfloor" === t || "\u230b" === t
? ((h = o = "\u23a5"), (l = "\u23a6"), (m = "Size4-Regular"))
: "\\rceil" === t || "\u2309" === t
? ((o = "\u23a4"), (h = l = "\u23a5"), (m = "Size4-Regular"))
: "(" === t || "\\lparen" === t
? ((o = "\u239b"), (h = "\u239c"), (l = "\u239d"), (m = "Size4-Regular"))
: ")" === t || "\\rparen" === t
? ((o = "\u239e"), (h = "\u239f"), (l = "\u23a0"), (m = "Size4-Regular"))
: "\\{" === t || "\\lbrace" === t
? ((o = "\u23a7"), (s = "\u23a8"), (l = "\u23a9"), (h = "\u23aa"), (m = "Size4-Regular"))
: "\\}" === t || "\\rbrace" === t
? ((o = "\u23ab"), (s = "\u23ac"), (l = "\u23ad"), (h = "\u23aa"), (m = "Size4-Regular"))
: "\\lgroup" === t || "\u27ee" === t
? ((o = "\u23a7"), (l = "\u23a9"), (h = "\u23aa"), (m = "Size4-Regular"))
: "\\rgroup" === t || "\u27ef" === t
? ((o = "\u23ab"), (l = "\u23ad"), (h = "\u23aa"), (m = "Size4-Regular"))
: "\\lmoustache" === t || "\u23b0" === t
? ((o = "\u23a7"), (l = "\u23ad"), (h = "\u23aa"), (m = "Size4-Regular"))
: ("\\rmoustache" !== t && "\u23b1" !== t) || ((o = "\u23ab"), (l = "\u23a9"), (h = "\u23aa"), (m = "Size4-Regular"));
var c = Ve(o, m, n),
u = c.height + c.depth,
p = Ve(h, m, n),
d = p.height + p.depth,
f = Ve(l, m, n),
g = f.height + f.depth,
x = 0,
v = 1;
if (null !== s) {
var b = Ve(s, m, n);
(x = b.height + b.depth), (v = 2);
}
var y = u + g + x,
k = Math.max(0, Math.ceil((e - y) / (v * d))),
S = y + k * v * d,
M = a.fontMetrics().axisHeight;
r && (M *= a.sizeMultiplier);
var z = S / 2 - M,
A = 0.005 * (k + 1) - d,
T = [];
if ((T.push(We(l, m, n)), null === s)) for (var B = 0; B < k; B++) T.push(Xe), T.push(We(h, m, n));
else {
for (var C = 0; C < k; C++) T.push(Xe), T.push(We(h, m, n));
T.push({ type: "kern", size: A }), T.push(We(h, m, n)), T.push(Xe), T.push(We(s, m, n));
for (var q = 0; q < k; q++) T.push(Xe), T.push(We(h, m, n));
}
T.push({ type: "kern", size: A }), T.push(We(h, m, n)), T.push(Xe), T.push(We(o, m, n));
var N = a.havingBaseStyle(w.TEXT),
I = Dt.makeVList({ positionType: "bottom", positionData: z, children: T }, N);
return Ue(Dt.makeSpan(["delimsizing", "mult"], [I], N), w.TEXT, a, i);
},
je = function (t, e, r, a, n) {
var i = (function (t, e, r) {
e *= 1e3;
var a = "";
switch (t) {
case "sqrtMain":
a = (function (t, e) {
return (
"M95," +
(622 + t + e) +
"\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl" +
t / 2.075 +
" -" +
t +
"\nc5.3,-9.3,12,-14,20,-14\nH400000v" +
(40 + t) +
"H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM" +
(834 + t) +
" " +
e +
"h400000v" +
(40 + t) +
"h-400000z"
);
})(e, 80);
break;
case "sqrtSize1":
a = (function (t, e) {
return (
"M263," +
(601 + t + e) +
"c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl" +
t / 2.084 +
" -" +
t +
"\nc4.7,-7.3,11,-11,19,-11\nH40000v" +
(40 + t) +
"H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM" +
(1001 + t) +
" " +
e +
"h400000v" +
(40 + t) +
"h-400000z"
);
})(e, 80);
break;
case "sqrtSize2":
a = (function (t, e) {
return (
"M983 " +
(10 + t + e) +
"\nl" +
t / 3.13 +
" -" +
t +
"\nc4,-6.7,10,-10,18,-10 H400000v" +
(40 + t) +
"\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM" +
(1001 + t) +
" " +
e +
"h400000v" +
(40 + t) +
"h-400000z"
);
})(e, 80);
break;
case "sqrtSize3":
a = (function (t, e) {
return (
"M424," +
(2398 + t + e) +
"\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl" +
t / 4.223 +
" -" +
t +
"c4,-6.7,10,-10,18,-10 H400000\nv" +
(40 + t) +
"H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M" +
(1001 + t) +
" " +
e +
"\nh400000v" +
(40 + t) +
"h-400000z"
);
})(e, 80);
break;
case "sqrtSize4":
a = (function (t, e) {
return (
"M473," +
(2713 + t + e) +
"\nc339.3,-1799.3,509.3,-2700,510,-2702 l" +
t / 5.298 +
" -" +
t +
"\nc3.3,-7.3,9.3,-11,18,-11 H400000v" +
(40 + t) +
"H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM" +
(1001 + t) +
" " +
e +
"h400000v" +
(40 + t) +
"H1017.7z"
);
})(e, 80);
break;
case "sqrtTall":
a = (function (t, e, r) {
return (
"M702 " +
(t + e) +
"H400000" +
(40 + t) +
"\nH742v" +
(r - 54 - e - t) +
"l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 " +
e +
"H400000v" +
(40 + t) +
"H742z"
);
})(e, 80, r);
}
return a;
})(t, a, r),
o = new H(t, i),
s = new L([o], { width: "400em", height: e + "em", viewBox: "0 0 400000 " + r, preserveAspectRatio: "xMinYMin slice" });
return Dt.makeSvgSpan(["hide-tail"], [s], n);
},
$e = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"],
Ze = [
"\\uparrow",
"\\downarrow",
"\\updownarrow",
"\\Uparrow",
"\\Downarrow",
"\\Updownarrow",
"|",
"\\|",
"\\vert",
"\\Vert",
"\\lvert",
"\\rvert",
"\\lVert",
"\\rVert",
"\\lgroup",
"\\rgroup",
"\u27ee",
"\u27ef",
"\\lmoustache",
"\\rmoustache",
"\u23b0",
"\u23b1",
],
Ke = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"],
Je = [0, 1.2, 1.8, 2.4, 3],
Qe = [
{ type: "small", style: w.SCRIPTSCRIPT },
{ type: "small", style: w.SCRIPT },
{ type: "small", style: w.TEXT },
{ type: "large", size: 1 },
{ type: "large", size: 2 },
{ type: "large", size: 3 },
{ type: "large", size: 4 },
],
tr = [{ type: "small", style: w.SCRIPTSCRIPT }, { type: "small", style: w.SCRIPT }, { type: "small", style: w.TEXT }, { type: "stack" }],
er = [
{ type: "small", style: w.SCRIPTSCRIPT },
{ type: "small", style: w.SCRIPT },
{ type: "small", style: w.TEXT },
{ type: "large", size: 1 },
{ type: "large", size: 2 },
{ type: "large", size: 3 },
{ type: "large", size: 4 },
{ type: "stack" },
],
rr = function (t) {
if ("small" === t.type) return "Main-Regular";
if ("large" === t.type) return "Size" + t.size + "-Regular";
if ("stack" === t.type) return "Size4-Regular";
throw new Error("Add support for delim type '" + t.type + "' here.");
},
ar = function (t, e, r, a) {
for (var n = Math.min(2, 3 - a.style.size); n < r.length && "stack" !== r[n].type; n++) {
var i = Ve(t, rr(r[n]), "math"),
o = i.height + i.depth;
if (("small" === r[n].type && (o *= a.havingBaseStyle(r[n].style).sizeMultiplier), o > e)) return r[n];
}
return r[r.length - 1];
},
nr = function (t, e, r, a, n, i) {
var o;
"<" === t || "\\lt" === t || "\u27e8" === t ? (t = "\\langle") : (">" !== t && "\\gt" !== t && "\u27e9" !== t) || (t = "\\rangle"), (o = c.contains(Ke, t) ? Qe : c.contains($e, t) ? er : tr);
var s = ar(t, e, o, a);
return "small" === s.type
? (function (t, e, r, a, n, i) {
var o = Dt.makeSymbol(t, "Main-Regular", n, a),
s = Ue(o, e, a, i);
return r && Ge(s, a, e), s;
})(t, s.style, r, a, n, i)
: "large" === s.type
? Ye(t, s.size, r, a, n, i)
: _e(t, e, r, a, n, i);
},
ir = function (t, e) {
var r,
a,
n = e.havingBaseSizing(),
i = ar("\\surd", t * n.sizeMultiplier, er, n),
o = n.sizeMultiplier,
s = Math.max(0, e.minRuleThickness - e.fontMetrics().sqrtRuleThickness),
h = 0,
l = 0,
m = 0;
return (
"small" === i.type
? (t < 1 ? (o = 1) : t < 1.4 && (o = 0.7), (l = (1 + s) / o), ((r = je("sqrtMain", (h = (1 + s + 0.08) / o), (m = 1e3 + 1e3 * s + 80), s, e)).style.minWidth = "0.853em"), (a = 0.833 / o))
: "large" === i.type
? ((m = 1080 * Je[i.size]), (l = (Je[i.size] + s) / o), (h = (Je[i.size] + s + 0.08) / o), ((r = je("sqrtSize" + i.size, h, m, s, e)).style.minWidth = "1.02em"), (a = 1 / o))
: ((h = t + s + 0.08), (l = t + s), (m = Math.floor(1e3 * t + s) + 80), ((r = je("sqrtTall", h, m, s, e)).style.minWidth = "0.742em"), (a = 1.056)),
(r.height = l),
(r.style.height = h + "em"),
{ span: r, advanceWidth: a, ruleWidth: (e.fontMetrics().sqrtRuleThickness + s) * o }
);
},
or = function (t, e, r, a, n) {
if (("<" === t || "\\lt" === t || "\u27e8" === t ? (t = "\\langle") : (">" !== t && "\\gt" !== t && "\u27e9" !== t) || (t = "\\rangle"), c.contains($e, t) || c.contains(Ke, t))) return Ye(t, e, !1, r, a, n);
if (c.contains(Ze, t)) return _e(t, Je[e], !1, r, a, n);
throw new o("Illegal delimiter: '" + t + "'");
},
sr = nr,
hr = function (t, e, r, a, n, i) {
var o = a.fontMetrics().axisHeight * a.sizeMultiplier,
s = 5 / a.fontMetrics().ptPerEm,
h = Math.max(e - o, r + o),
l = Math.max((h / 500) * 901, 2 * h - s);
return nr(t, l, !0, a, n, i);
},
lr = {
"\\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 },
},
mr = [
"(",
"\\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",
".",
];
function cr(t, e) {
var r = Yt(t);
if (r && c.contains(mr, r.text)) return r;
throw new o("Invalid delimiter: '" + (r ? r.text : JSON.stringify(t)) + "' after '" + e.funcName + "'", t);
}
function ur(t) {
if (!t.body) throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
}
Qt({
type: "delimsizing",
names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = cr(e[0], t);
return { type: "delimsizing", mode: t.parser.mode, size: lr[t.funcName].size, mclass: lr[t.funcName].mclass, delim: r.text };
},
htmlBuilder: function (t, e) {
return "." === t.delim ? Dt.makeSpan([t.mclass]) : or(t.delim, t.size, e, t.mode, [t.mclass]);
},
mathmlBuilder: function (t) {
var e = [];
"." !== t.delim && e.push(be(t.delim, t.mode));
var r = new ve.MathNode("mo", e);
return "mopen" === t.mclass || "mclose" === t.mclass ? r.setAttribute("fence", "true") : r.setAttribute("fence", "false"), r;
},
}),
Qt({
type: "leftright-right",
names: ["\\right"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser.gullet.macros.get("\\current@color");
if (r && "string" != typeof r) throw new o("\\current@color set to non-string in \\right");
return { type: "leftright-right", mode: t.parser.mode, delim: cr(e[0], t).text, color: r };
},
}),
Qt({
type: "leftright",
names: ["\\left"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = cr(e[0], t),
a = t.parser;
++a.leftrightDepth;
var n = a.parseExpression(!1);
--a.leftrightDepth, a.expect("\\right", !1);
var i = Ft(a.parseFunction(), "leftright-right");
return { type: "leftright", mode: a.mode, body: n, left: r.text, right: i.delim, rightColor: i.color };
},
htmlBuilder: function (t, e) {
ur(t);
for (var r, a, n = se(t.body, e, !0, ["mopen", "mclose"]), i = 0, o = 0, s = !1, h = 0; h < n.length; h++) n[h].isMiddle ? (s = !0) : ((i = Math.max(n[h].height, i)), (o = Math.max(n[h].depth, o)));
if (((i *= e.sizeMultiplier), (o *= e.sizeMultiplier), (r = "." === t.left ? ce(e, ["mopen"]) : hr(t.left, i, o, e, t.mode, ["mopen"])), n.unshift(r), s))
for (var l = 1; l < n.length; l++) {
var m = n[l].isMiddle;
m && (n[l] = hr(m.delim, i, o, m.options, t.mode, []));
}
if ("." === t.right) a = ce(e, ["mclose"]);
else {
var c = t.rightColor ? e.withColor(t.rightColor) : e;
a = hr(t.right, i, o, c, t.mode, ["mclose"]);
}
return n.push(a), Dt.makeSpan(["minner"], n, e);
},
mathmlBuilder: function (t, e) {
ur(t);
var r = ke(t.body, e);
if ("." !== t.left) {
var a = new ve.MathNode("mo", [be(t.left, t.mode)]);
a.setAttribute("fence", "true"), r.unshift(a);
}
if ("." !== t.right) {
var n = new ve.MathNode("mo", [be(t.right, t.mode)]);
n.setAttribute("fence", "true"), t.rightColor && n.setAttribute("mathcolor", t.rightColor), r.push(n);
}
return ye(r);
},
}),
Qt({
type: "middle",
names: ["\\middle"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = cr(e[0], t);
if (!t.parser.leftrightDepth) throw new o("\\middle without preceding \\left", r);
return { type: "middle", mode: t.parser.mode, delim: r.text };
},
htmlBuilder: function (t, e) {
var r;
if ("." === t.delim) r = ce(e, []);
else {
r = or(t.delim, 1, e, t.mode, []);
var a = { delim: t.delim, options: e };
r.isMiddle = a;
}
return r;
},
mathmlBuilder: function (t, e) {
var r = "\\vert" === t.delim || "|" === t.delim ? be("|", "text") : be(t.delim, t.mode),
a = new ve.MathNode("mo", [r]);
return a.setAttribute("fence", "true"), a.setAttribute("lspace", "0.05em"), a.setAttribute("rspace", "0.05em"), a;
},
});
var pr = function (t, e) {
var r,
a,
n = Dt.wrapFragment(ue(t.body, e), e),
i = t.label.substr(1),
o = e.sizeMultiplier,
s = 0,
h = c.isCharacterBox(t.body);
if ("sout" === i) ((r = Dt.makeSpan(["stretchy", "sout"])).height = e.fontMetrics().defaultRuleThickness / o), (s = -0.5 * e.fontMetrics().xHeight);
else {
/cancel/.test(i) ? h || n.classes.push("cancel-pad") : n.classes.push("boxpad");
var l = 0,
m = 0;
/box/.test(i) ? ((m = Math.max(e.fontMetrics().fboxrule, e.minRuleThickness)), (l = e.fontMetrics().fboxsep + ("colorbox" === i ? 0 : m))) : (l = h ? 0.2 : 0),
(r = Ie(n, i, l, e)),
/fbox|boxed|fcolorbox/.test(i) && ((r.style.borderStyle = "solid"), (r.style.borderWidth = m + "em")),
(s = n.depth + l),
t.backgroundColor && ((r.style.backgroundColor = t.backgroundColor), t.borderColor && (r.style.borderColor = t.borderColor));
}
return (
(a = t.backgroundColor
? Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: r, shift: s },
{ type: "elem", elem: n, shift: 0 },
],
},
e
)
: Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: n, shift: 0 },
{ type: "elem", elem: r, shift: s, wrapperClasses: /cancel/.test(i) ? ["svg-align"] : [] },
],
},
e
)),
/cancel/.test(i) && ((a.height = n.height), (a.depth = n.depth)),
/cancel/.test(i) && !h ? Dt.makeSpan(["mord", "cancel-lap"], [a], e) : Dt.makeSpan(["mord"], [a], e)
);
},
dr = function (t, e) {
var r = 0,
a = new ve.MathNode(t.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [Me(t.body, e)]);
switch (t.label) {
case "\\cancel":
a.setAttribute("notation", "updiagonalstrike");
break;
case "\\bcancel":
a.setAttribute("notation", "downdiagonalstrike");
break;
case "\\sout":
a.setAttribute("notation", "horizontalstrike");
break;
case "\\fbox":
a.setAttribute("notation", "box");
break;
case "\\fcolorbox":
case "\\colorbox":
if (
((r = e.fontMetrics().fboxsep * e.fontMetrics().ptPerEm),
a.setAttribute("width", "+" + 2 * r + "pt"),
a.setAttribute("height", "+" + 2 * r + "pt"),
a.setAttribute("lspace", r + "pt"),
a.setAttribute("voffset", r + "pt"),
"\\fcolorbox" === t.label)
) {
var n = Math.max(e.fontMetrics().fboxrule, e.minRuleThickness);
a.setAttribute("style", "border: " + n + "em solid " + String(t.borderColor));
}
break;
case "\\xcancel":
a.setAttribute("notation", "updiagonalstrike downdiagonalstrike");
}
return t.backgroundColor && a.setAttribute("mathbackground", t.backgroundColor), a;
};
Qt({
type: "enclose",
names: ["\\colorbox"],
props: { numArgs: 2, allowedInText: !0, greediness: 3, argTypes: ["color", "text"] },
handler: function (t, e, r) {
var a = t.parser,
n = t.funcName,
i = Ft(e[0], "color-token").color,
o = e[1];
return { type: "enclose", mode: a.mode, label: n, backgroundColor: i, body: o };
},
htmlBuilder: pr,
mathmlBuilder: dr,
}),
Qt({
type: "enclose",
names: ["\\fcolorbox"],
props: { numArgs: 3, allowedInText: !0, greediness: 3, argTypes: ["color", "color", "text"] },
handler: function (t, e, r) {
var a = t.parser,
n = t.funcName,
i = Ft(e[0], "color-token").color,
o = Ft(e[1], "color-token").color,
s = e[2];
return { type: "enclose", mode: a.mode, label: n, backgroundColor: o, borderColor: i, body: s };
},
htmlBuilder: pr,
mathmlBuilder: dr,
}),
Qt({
type: "enclose",
names: ["\\fbox"],
props: { numArgs: 1, argTypes: ["hbox"], allowedInText: !0 },
handler: function (t, e) {
return { type: "enclose", mode: t.parser.mode, label: "\\fbox", body: e[0] };
},
}),
Qt({
type: "enclose",
names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout"],
props: { numArgs: 1 },
handler: function (t, e, r) {
var a = t.parser,
n = t.funcName,
i = e[0];
return { type: "enclose", mode: a.mode, label: n, body: i };
},
htmlBuilder: pr,
mathmlBuilder: dr,
});
var fr = {};
function gr(t) {
for (
var e = t.type, r = t.names, a = t.props, n = t.handler, i = t.htmlBuilder, o = t.mathmlBuilder, s = { type: e, numArgs: a.numArgs || 0, greediness: 1, allowedInText: !1, numOptionalArgs: 0, handler: n }, h = 0;
h < r.length;
++h
)
fr[r[h]] = s;
i && (Kt[e] = i), o && (Jt[e] = o);
}
function xr(t) {
var e = [];
t.consumeSpaces();
for (var r = t.fetch().text; "\\hline" === r || "\\hdashline" === r; ) t.consume(), e.push("\\hdashline" === r), t.consumeSpaces(), (r = t.fetch().text);
return e;
}
function vr(t, e, r) {
var a = e.hskipBeforeAndAfter,
n = e.addJot,
i = e.cols,
s = e.arraystretch,
h = e.colSeparationType;
if ((t.gullet.beginGroup(), t.gullet.macros.set("\\\\", "\\cr"), !s)) {
var l = t.gullet.expandMacroAsText("\\arraystretch");
if (null == l) s = 1;
else if (!(s = parseFloat(l)) || s < 0) throw new o("Invalid \\arraystretch: " + l);
}
t.gullet.beginGroup();
var m = [],
c = [m],
u = [],
p = [];
for (p.push(xr(t)); ; ) {
var d = t.parseExpression(!1, "\\cr");
t.gullet.endGroup(), t.gullet.beginGroup(), (d = { type: "ordgroup", mode: t.mode, body: d }), r && (d = { type: "styling", mode: t.mode, style: r, body: [d] }), m.push(d);
var f = t.fetch().text;
if ("&" === f) t.consume();
else {
if ("\\end" === f) {
1 === m.length && "styling" === d.type && 0 === d.body[0].body.length && c.pop(), p.length < c.length + 1 && p.push([]);
break;
}
if ("\\cr" !== f) throw new o("Expected & or \\\\ or \\cr or \\end", t.nextToken);
var g = Ft(t.parseFunction(), "cr");
u.push(g.size), p.push(xr(t)), (m = []), c.push(m);
}
}
return t.gullet.endGroup(), t.gullet.endGroup(), { type: "array", mode: t.mode, addJot: n, arraystretch: s, body: c, cols: i, rowGaps: u, hskipBeforeAndAfter: a, hLinesBeforeRow: p, colSeparationType: h };
}
function br(t) {
return "d" === t.substr(0, 1) ? "display" : "text";
}
var yr = function (t, e) {
var r,
a,
n = t.body.length,
i = t.hLinesBeforeRow,
s = 0,
h = new Array(n),
l = [],
m = Math.max(e.fontMetrics().arrayRuleWidth, e.minRuleThickness),
u = 1 / e.fontMetrics().ptPerEm,
p = 5 * u;
t.colSeparationType && "small" === t.colSeparationType && (p = (e.havingStyle(w.SCRIPT).sizeMultiplier / e.sizeMultiplier) * 0.2778);
var d = 12 * u,
f = 3 * u,
g = t.arraystretch * d,
x = 0.7 * g,
v = 0.3 * g,
b = 0;
function y(t) {
for (var e = 0; e < t.length; ++e) e > 0 && (b += 0.25), l.push({ pos: b, isDashed: t[e] });
}
for (y(i[0]), r = 0; r < t.body.length; ++r) {
var k = t.body[r],
S = x,
M = v;
s < k.length && (s = k.length);
var z = new Array(k.length);
for (a = 0; a < k.length; ++a) {
var A = ue(k[a], e);
M < A.depth && (M = A.depth), S < A.height && (S = A.height), (z[a] = A);
}
var T = t.rowGaps[r],
B = 0;
T && (B = Tt(T, e)) > 0 && (M < (B += v) && (M = B), (B = 0)), t.addJot && (M += f), (z.height = S), (z.depth = M), (b += S), (z.pos = b), (b += M + B), (h[r] = z), y(i[r + 1]);
}
var C,
q,
N = b / 2 + e.fontMetrics().axisHeight,
I = t.cols || [],
R = [];
for (a = 0, q = 0; a < s || q < I.length; ++a, ++q) {
for (var O = I[q] || {}, E = !0; "separator" === O.type; ) {
if ((E || (((C = Dt.makeSpan(["arraycolsep"], [])).style.width = e.fontMetrics().doubleRuleSep + "em"), R.push(C)), "|" !== O.separator && ":" !== O.separator))
throw new o("Invalid separator type: " + O.separator);
var L = "|" === O.separator ? "solid" : "dashed",
H = Dt.makeSpan(["vertical-separator"], [], e);
(H.style.height = b + "em"),
(H.style.borderRightWidth = m + "em"),
(H.style.borderRightStyle = L),
(H.style.margin = "0 -" + m / 2 + "em"),
(H.style.verticalAlign = -(b - N) + "em"),
R.push(H),
(O = I[++q] || {}),
(E = !1);
}
if (!(a >= s)) {
var P = void 0;
(a > 0 || t.hskipBeforeAndAfter) && 0 !== (P = c.deflt(O.pregap, p)) && (((C = Dt.makeSpan(["arraycolsep"], [])).style.width = P + "em"), R.push(C));
var D = [];
for (r = 0; r < n; ++r) {
var F = h[r],
V = F[a];
if (V) {
var U = F.pos - N;
(V.depth = F.depth), (V.height = F.height), D.push({ type: "elem", elem: V, shift: U });
}
}
(D = Dt.makeVList({ positionType: "individualShift", children: D }, e)),
(D = Dt.makeSpan(["col-align-" + (O.align || "c")], [D])),
R.push(D),
(a < s - 1 || t.hskipBeforeAndAfter) && 0 !== (P = c.deflt(O.postgap, p)) && (((C = Dt.makeSpan(["arraycolsep"], [])).style.width = P + "em"), R.push(C));
}
}
if (((h = Dt.makeSpan(["mtable"], R)), l.length > 0)) {
for (var G = Dt.makeLineSpan("hline", e, m), Y = Dt.makeLineSpan("hdashline", e, m), W = [{ type: "elem", elem: h, shift: 0 }]; l.length > 0; ) {
var X = l.pop(),
_ = X.pos - N;
X.isDashed ? W.push({ type: "elem", elem: Y, shift: _ }) : W.push({ type: "elem", elem: G, shift: _ });
}
h = Dt.makeVList({ positionType: "individualShift", children: W }, e);
}
return Dt.makeSpan(["mord"], [h], e);
},
wr = { c: "center ", l: "left ", r: "right " },
kr = function (t, e) {
var r = new ve.MathNode(
"mtable",
t.body.map(function (t) {
return new ve.MathNode(
"mtr",
t.map(function (t) {
return new ve.MathNode("mtd", [Me(t, e)]);
})
);
})
),
a = 0.5 === t.arraystretch ? 0.1 : 0.16 + t.arraystretch - 1 + (t.addJot ? 0.09 : 0);
r.setAttribute("rowspacing", a + "em");
var n = "",
i = "";
if (t.cols) {
var o = t.cols,
s = "",
h = !1,
l = 0,
m = o.length;
"separator" === o[0].type && ((n += "top "), (l = 1)), "separator" === o[o.length - 1].type && ((n += "bottom "), (m -= 1));
for (var c = l; c < m; c++) "align" === o[c].type ? ((i += wr[o[c].align]), h && (s += "none "), (h = !0)) : "separator" === o[c].type && h && ((s += "|" === o[c].separator ? "solid " : "dashed "), (h = !1));
r.setAttribute("columnalign", i.trim()), /[sd]/.test(s) && r.setAttribute("columnlines", s.trim());
}
if ("align" === t.colSeparationType) {
for (var u = t.cols || [], p = "", d = 1; d < u.length; d++) p += d % 2 ? "0em " : "1em ";
r.setAttribute("columnspacing", p.trim());
} else "alignat" === t.colSeparationType ? r.setAttribute("columnspacing", "0em") : "small" === t.colSeparationType ? r.setAttribute("columnspacing", "0.2778em") : r.setAttribute("columnspacing", "1em");
var f = "",
g = t.hLinesBeforeRow;
(n += g[0].length > 0 ? "left " : ""), (n += g[g.length - 1].length > 0 ? "right " : "");
for (var x = 1; x < g.length - 1; x++) f += 0 === g[x].length ? "none " : g[x][0] ? "dashed " : "solid ";
return (
/[sd]/.test(f) && r.setAttribute("rowlines", f.trim()),
"" !== n && (r = new ve.MathNode("menclose", [r])).setAttribute("notation", n.trim()),
t.arraystretch && t.arraystretch < 1 && (r = new ve.MathNode("mstyle", [r])).setAttribute("scriptlevel", "1"),
r
);
},
Sr = function (t, e) {
var r,
a = [],
n = vr(t.parser, { cols: a, addJot: !0 }, "display"),
i = 0,
s = { type: "ordgroup", mode: t.mode, body: [] },
h = Vt(e[0], "ordgroup");
if (h) {
for (var l = "", m = 0; m < h.body.length; m++) {
l += Ft(h.body[m], "textord").text;
}
(r = Number(l)), (i = 2 * r);
}
var c = !i;
n.body.forEach(function (t) {
for (var e = 1; e < t.length; e += 2) {
var a = Ft(t[e], "styling");
Ft(a.body[0], "ordgroup").body.unshift(s);
}
if (c) i < t.length && (i = t.length);
else {
var n = t.length / 2;
if (r < n) throw new o("Too many math in a row: expected " + r + ", but got " + n, t[0]);
}
});
for (var u = 0; u < i; ++u) {
var p = "r",
d = 0;
u % 2 == 1 ? (p = "l") : u > 0 && c && (d = 1), (a[u] = { type: "align", align: p, pregap: d, postgap: 0 });
}
return (n.colSeparationType = c ? "align" : "alignat"), n;
};
gr({
type: "array",
names: ["array", "darray"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = {
cols: (Yt(e[0]) ? [e[0]] : Ft(e[0], "ordgroup").body).map(function (t) {
var e = Gt(t).text;
if (-1 !== "lcr".indexOf(e)) return { type: "align", align: e };
if ("|" === e) return { type: "separator", separator: "|" };
if (":" === e) return { type: "separator", separator: ":" };
throw new o("Unknown column alignment: " + e, t);
}),
hskipBeforeAndAfter: !0,
};
return vr(t.parser, r, br(t.envName));
},
htmlBuilder: yr,
mathmlBuilder: kr,
}),
gr({
type: "array",
names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix"],
props: { numArgs: 0 },
handler: function (t) {
var e = { matrix: null, pmatrix: ["(", ")"], bmatrix: ["[", "]"], Bmatrix: ["\\{", "\\}"], vmatrix: ["|", "|"], Vmatrix: ["\\Vert", "\\Vert"] }[t.envName],
r = vr(t.parser, { hskipBeforeAndAfter: !1 }, br(t.envName));
return e ? { type: "leftright", mode: t.mode, body: [r], left: e[0], right: e[1], rightColor: void 0 } : r;
},
htmlBuilder: yr,
mathmlBuilder: kr,
}),
gr({
type: "array",
names: ["smallmatrix"],
props: { numArgs: 0 },
handler: function (t) {
var e = vr(t.parser, { arraystretch: 0.5 }, "script");
return (e.colSeparationType = "small"), e;
},
htmlBuilder: yr,
mathmlBuilder: kr,
}),
gr({
type: "array",
names: ["subarray"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = (Yt(e[0]) ? [e[0]] : Ft(e[0], "ordgroup").body).map(function (t) {
var e = Gt(t).text;
if (-1 !== "lc".indexOf(e)) return { type: "align", align: e };
throw new o("Unknown column alignment: " + e, t);
});
if (r.length > 1) throw new o("{subarray} can contain only one column");
var a = { cols: r, hskipBeforeAndAfter: !1, arraystretch: 0.5 };
if ((a = vr(t.parser, a, "script")).body[0].length > 1) throw new o("{subarray} can contain only one column");
return a;
},
htmlBuilder: yr,
mathmlBuilder: kr,
}),
gr({
type: "array",
names: ["cases", "dcases"],
props: { numArgs: 0 },
handler: function (t) {
var e = vr(
t.parser,
{
arraystretch: 1.2,
cols: [
{ type: "align", align: "l", pregap: 0, postgap: 1 },
{ type: "align", align: "l", pregap: 0, postgap: 0 },
],
},
br(t.envName)
);
return { type: "leftright", mode: t.mode, body: [e], left: "\\{", right: ".", rightColor: void 0 };
},
htmlBuilder: yr,
mathmlBuilder: kr,
}),
gr({ type: "array", names: ["aligned"], props: { numArgs: 0 }, handler: Sr, htmlBuilder: yr, mathmlBuilder: kr }),
gr({
type: "array",
names: ["gathered"],
props: { numArgs: 0 },
handler: function (t) {
return vr(t.parser, { cols: [{ type: "align", align: "c" }], addJot: !0 }, "display");
},
htmlBuilder: yr,
mathmlBuilder: kr,
}),
gr({ type: "array", names: ["alignedat"], props: { numArgs: 1 }, handler: Sr, htmlBuilder: yr, mathmlBuilder: kr }),
Qt({
type: "text",
names: ["\\hline", "\\hdashline"],
props: { numArgs: 0, allowedInText: !0, allowedInMath: !0 },
handler: function (t, e) {
throw new o(t.funcName + " valid only within array environment");
},
});
var Mr = fr;
Qt({
type: "environment",
names: ["\\begin", "\\end"],
props: { numArgs: 1, argTypes: ["text"] },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0];
if ("ordgroup" !== n.type) throw new o("Invalid environment name", n);
for (var i = "", s = 0; s < n.body.length; ++s) i += Ft(n.body[s], "textord").text;
if ("\\begin" === a) {
if (!Mr.hasOwnProperty(i)) throw new o("No such environment: " + i, n);
var h = Mr[i],
l = r.parseArguments("\\begin{" + i + "}", h),
m = l.args,
c = l.optArgs,
u = { mode: r.mode, envName: i, parser: r },
p = h.handler(u, m, c);
r.expect("\\end", !1);
var d = r.nextToken,
f = Ft(r.parseFunction(), "environment");
if (f.name !== i) throw new o("Mismatch: \\begin{" + i + "} matched by \\end{" + f.name + "}", d);
return p;
}
return { type: "environment", mode: r.mode, name: i, nameGroup: n };
},
});
var zr = Dt.makeSpan;
function Ar(t, e) {
var r = se(t.body, e, !0);
return zr([t.mclass], r, e);
}
function Tr(t, e) {
var r,
a = ke(t.body, e);
return "minner" === t.mclass
? ve.newDocumentFragment(a)
: ("mord" === t.mclass
? t.isCharacterBox
? ((r = a[0]).type = "mi")
: (r = new ve.MathNode("mi", a))
: (t.isCharacterBox ? ((r = a[0]).type = "mo") : (r = new ve.MathNode("mo", a)),
"mbin" === t.mclass
? ((r.attributes.lspace = "0.22em"), (r.attributes.rspace = "0.22em"))
: "mpunct" === t.mclass
? ((r.attributes.lspace = "0em"), (r.attributes.rspace = "0.17em"))
: ("mopen" !== t.mclass && "mclose" !== t.mclass) || ((r.attributes.lspace = "0em"), (r.attributes.rspace = "0em"))),
r);
}
Qt({
type: "mclass",
names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0];
return { type: "mclass", mode: r.mode, mclass: "m" + a.substr(5), body: ee(n), isCharacterBox: c.isCharacterBox(n) };
},
htmlBuilder: Ar,
mathmlBuilder: Tr,
});
var Br = function (t) {
var e = "ordgroup" === t.type && t.body.length ? t.body[0] : t;
return "atom" !== e.type || ("bin" !== e.family && "rel" !== e.family) ? "mord" : "m" + e.family;
};
Qt({
type: "mclass",
names: ["\\@binrel"],
props: { numArgs: 2 },
handler: function (t, e) {
return { type: "mclass", mode: t.parser.mode, mclass: Br(e[0]), body: [e[1]], isCharacterBox: c.isCharacterBox(e[1]) };
},
}),
Qt({
type: "mclass",
names: ["\\stackrel", "\\overset", "\\underset"],
props: { numArgs: 2 },
handler: function (t, e) {
var r,
a = t.parser,
n = t.funcName,
i = e[1],
o = e[0];
r = "\\stackrel" !== n ? Br(i) : "mrel";
var s = { type: "op", mode: i.mode, limits: !0, alwaysHandleSupSub: !0, parentIsSupSub: !1, symbol: !1, suppressBaseShift: "\\stackrel" !== n, body: ee(i) },
h = { type: "supsub", mode: o.mode, base: s, sup: "\\underset" === n ? null : o, sub: "\\underset" === n ? o : null };
return { type: "mclass", mode: a.mode, mclass: r, body: [h], isCharacterBox: c.isCharacterBox(h) };
},
htmlBuilder: Ar,
mathmlBuilder: Tr,
});
var Cr = function (t, e) {
var r = t.font,
a = e.withFont(r);
return ue(t.body, a);
},
qr = function (t, e) {
var r = t.font,
a = e.withFont(r);
return Me(t.body, a);
},
Nr = { "\\Bbb": "\\mathbb", "\\bold": "\\mathbf", "\\frak": "\\mathfrak", "\\bm": "\\boldsymbol" };
Qt({
type: "font",
names: ["\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", "\\Bbb", "\\bold", "\\frak"],
props: { numArgs: 1, greediness: 2 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0],
i = a;
return i in Nr && (i = Nr[i]), { type: "font", mode: r.mode, font: i.slice(1), body: n };
},
htmlBuilder: Cr,
mathmlBuilder: qr,
}),
Qt({
type: "mclass",
names: ["\\boldsymbol", "\\bm"],
props: { numArgs: 1, greediness: 2 },
handler: function (t, e) {
var r = t.parser,
a = e[0],
n = c.isCharacterBox(a);
return { type: "mclass", mode: r.mode, mclass: Br(a), body: [{ type: "font", mode: r.mode, font: "boldsymbol", body: a }], isCharacterBox: n };
},
}),
Qt({
type: "font",
names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it"],
props: { numArgs: 0, allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = t.breakOnTokenText,
i = r.mode,
o = r.parseExpression(!0, n);
return { type: "font", mode: i, font: "math" + a.slice(1), body: { type: "ordgroup", mode: r.mode, body: o } };
},
htmlBuilder: Cr,
mathmlBuilder: qr,
});
var Ir = function (t, e) {
var r = e;
return "display" === t ? (r = r.id >= w.SCRIPT.id ? r.text() : w.DISPLAY) : "text" === t && r.size === w.DISPLAY.size ? (r = w.TEXT) : "script" === t ? (r = w.SCRIPT) : "scriptscript" === t && (r = w.SCRIPTSCRIPT), r;
},
Rr = function (t, e) {
var r,
a = Ir(t.size, e.style),
n = a.fracNum(),
i = a.fracDen();
r = e.havingStyle(n);
var o = ue(t.numer, r, e);
if (t.continued) {
var s = 8.5 / e.fontMetrics().ptPerEm,
h = 3.5 / e.fontMetrics().ptPerEm;
(o.height = o.height < s ? s : o.height), (o.depth = o.depth < h ? h : o.depth);
}
r = e.havingStyle(i);
var l,
m,
c,
u,
p,
d,
f,
g,
x,
v,
b = ue(t.denom, r, e);
if (
(t.hasBarLine
? (t.barSize ? ((m = Tt(t.barSize, e)), (l = Dt.makeLineSpan("frac-line", e, m))) : (l = Dt.makeLineSpan("frac-line", e)), (m = l.height), (c = l.height))
: ((l = null), (m = 0), (c = e.fontMetrics().defaultRuleThickness)),
a.size === w.DISPLAY.size || "display" === t.size
? ((u = e.fontMetrics().num1), (p = m > 0 ? 3 * c : 7 * c), (d = e.fontMetrics().denom1))
: (m > 0 ? ((u = e.fontMetrics().num2), (p = c)) : ((u = e.fontMetrics().num3), (p = 3 * c)), (d = e.fontMetrics().denom2)),
l)
) {
var y = e.fontMetrics().axisHeight;
u - o.depth - (y + 0.5 * m) < p && (u += p - (u - o.depth - (y + 0.5 * m))), y - 0.5 * m - (b.height - d) < p && (d += p - (y - 0.5 * m - (b.height - d)));
var k = -(y - 0.5 * m);
f = Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: b, shift: d },
{ type: "elem", elem: l, shift: k },
{ type: "elem", elem: o, shift: -u },
],
},
e
);
} else {
var S = u - o.depth - (b.height - d);
S < p && ((u += 0.5 * (p - S)), (d += 0.5 * (p - S))),
(f = Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: b, shift: d },
{ type: "elem", elem: o, shift: -u },
],
},
e
));
}
return (
(r = e.havingStyle(a)),
(f.height *= r.sizeMultiplier / e.sizeMultiplier),
(f.depth *= r.sizeMultiplier / e.sizeMultiplier),
(g = a.size === w.DISPLAY.size ? e.fontMetrics().delim1 : e.fontMetrics().delim2),
(x = null == t.leftDelim ? ce(e, ["mopen"]) : sr(t.leftDelim, g, !0, e.havingStyle(a), t.mode, ["mopen"])),
(v = t.continued ? Dt.makeSpan([]) : null == t.rightDelim ? ce(e, ["mclose"]) : sr(t.rightDelim, g, !0, e.havingStyle(a), t.mode, ["mclose"])),
Dt.makeSpan(["mord"].concat(r.sizingClasses(e)), [x, Dt.makeSpan(["mfrac"], [f]), v], e)
);
},
Or = function (t, e) {
var r = new ve.MathNode("mfrac", [Me(t.numer, e), Me(t.denom, e)]);
if (t.hasBarLine) {
if (t.barSize) {
var a = Tt(t.barSize, e);
r.setAttribute("linethickness", a + "em");
}
} else r.setAttribute("linethickness", "0px");
var n = Ir(t.size, e.style);
if (n.size !== e.style.size) {
r = new ve.MathNode("mstyle", [r]);
var i = n.size === w.DISPLAY.size ? "true" : "false";
r.setAttribute("displaystyle", i), r.setAttribute("scriptlevel", "0");
}
if (null != t.leftDelim || null != t.rightDelim) {
var o = [];
if (null != t.leftDelim) {
var s = new ve.MathNode("mo", [new ve.TextNode(t.leftDelim.replace("\\", ""))]);
s.setAttribute("fence", "true"), o.push(s);
}
if ((o.push(r), null != t.rightDelim)) {
var h = new ve.MathNode("mo", [new ve.TextNode(t.rightDelim.replace("\\", ""))]);
h.setAttribute("fence", "true"), o.push(h);
}
return ye(o);
}
return r;
};
Qt({
type: "genfrac",
names: ["\\cfrac", "\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", "\\\\bracefrac", "\\\\brackfrac"],
props: { numArgs: 2, greediness: 2 },
handler: function (t, e) {
var r,
a = t.parser,
n = t.funcName,
i = e[0],
o = e[1],
s = null,
h = null,
l = "auto";
switch (n) {
case "\\cfrac":
case "\\dfrac":
case "\\frac":
case "\\tfrac":
r = !0;
break;
case "\\\\atopfrac":
r = !1;
break;
case "\\dbinom":
case "\\binom":
case "\\tbinom":
(r = !1), (s = "("), (h = ")");
break;
case "\\\\bracefrac":
(r = !1), (s = "\\{"), (h = "\\}");
break;
case "\\\\brackfrac":
(r = !1), (s = "["), (h = "]");
break;
default:
throw new Error("Unrecognized genfrac command");
}
switch (n) {
case "\\cfrac":
case "\\dfrac":
case "\\dbinom":
l = "display";
break;
case "\\tfrac":
case "\\tbinom":
l = "text";
}
return { type: "genfrac", mode: a.mode, continued: "\\cfrac" === n, numer: i, denom: o, hasBarLine: r, leftDelim: s, rightDelim: h, size: l, barSize: null };
},
htmlBuilder: Rr,
mathmlBuilder: Or,
}),
Qt({
type: "infix",
names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"],
props: { numArgs: 0, infix: !0 },
handler: function (t) {
var e,
r = t.parser,
a = t.funcName,
n = t.token;
switch (a) {
case "\\over":
e = "\\frac";
break;
case "\\choose":
e = "\\binom";
break;
case "\\atop":
e = "\\\\atopfrac";
break;
case "\\brace":
e = "\\\\bracefrac";
break;
case "\\brack":
e = "\\\\brackfrac";
break;
default:
throw new Error("Unrecognized infix genfrac command");
}
return { type: "infix", mode: r.mode, replaceWith: e, token: n };
},
});
var Er = ["display", "text", "script", "scriptscript"],
Lr = function (t) {
var e = null;
return t.length > 0 && (e = "." === (e = t) ? null : e), e;
};
Qt({
type: "genfrac",
names: ["\\genfrac"],
props: { numArgs: 6, greediness: 6, argTypes: ["math", "math", "size", "text", "math", "math"] },
handler: function (t, e) {
var r = t.parser,
a = e[4],
n = e[5],
i = Vt(e[0], "atom");
i && (i = Ut(e[0], "open"));
var o = i ? Lr(i.text) : null,
s = Vt(e[1], "atom");
s && (s = Ut(e[1], "close"));
var h,
l = s ? Lr(s.text) : null,
m = Ft(e[2], "size"),
c = null;
h = !!m.isBlank || (c = m.value).number > 0;
var u = "auto",
p = Vt(e[3], "ordgroup");
if (p) {
if (p.body.length > 0) {
var d = Ft(p.body[0], "textord");
u = Er[Number(d.text)];
}
} else (p = Ft(e[3], "textord")), (u = Er[Number(p.text)]);
return { type: "genfrac", mode: r.mode, numer: a, denom: n, continued: !1, hasBarLine: h, barSize: c, leftDelim: o, rightDelim: l, size: u };
},
htmlBuilder: Rr,
mathmlBuilder: Or,
}),
Qt({
type: "infix",
names: ["\\above"],
props: { numArgs: 1, argTypes: ["size"], infix: !0 },
handler: function (t, e) {
var r = t.parser,
a = (t.funcName, t.token);
return { type: "infix", mode: r.mode, replaceWith: "\\\\abovefrac", size: Ft(e[0], "size").value, token: a };
},
}),
Qt({
type: "genfrac",
names: ["\\\\abovefrac"],
props: { numArgs: 3, argTypes: ["math", "size", "math"] },
handler: function (t, e) {
var r = t.parser,
a = (t.funcName, e[0]),
n = (function (t) {
if (!t) throw new Error("Expected non-null, but got " + String(t));
return t;
})(Ft(e[1], "infix").size),
i = e[2],
o = n.number > 0;
return { type: "genfrac", mode: r.mode, numer: a, denom: i, continued: !1, hasBarLine: o, barSize: n, leftDelim: null, rightDelim: null, size: "auto" };
},
htmlBuilder: Rr,
mathmlBuilder: Or,
});
var Hr = function (t, e) {
var r,
a,
n = e.style,
i = Vt(t, "supsub");
i ? ((r = i.sup ? ue(i.sup, e.havingStyle(n.sup()), e) : ue(i.sub, e.havingStyle(n.sub()), e)), (a = Ft(i.base, "horizBrace"))) : (a = Ft(t, "horizBrace"));
var o,
s = ue(a.base, e.havingBaseStyle(w.DISPLAY)),
h = Oe(a, e);
if (
(a.isOver
? (o = Dt.makeVList(
{
positionType: "firstBaseline",
children: [
{ type: "elem", elem: s },
{ type: "kern", size: 0.1 },
{ type: "elem", elem: h },
],
},
e
)).children[0].children[0].children[1].classes.push("svg-align")
: (o = Dt.makeVList(
{
positionType: "bottom",
positionData: s.depth + 0.1 + h.height,
children: [
{ type: "elem", elem: h },
{ type: "kern", size: 0.1 },
{ type: "elem", elem: s },
],
},
e
)).children[0].children[0].children[0].classes.push("svg-align"),
r)
) {
var l = Dt.makeSpan(["mord", a.isOver ? "mover" : "munder"], [o], e);
o = a.isOver
? Dt.makeVList(
{
positionType: "firstBaseline",
children: [
{ type: "elem", elem: l },
{ type: "kern", size: 0.2 },
{ type: "elem", elem: r },
],
},
e
)
: Dt.makeVList(
{
positionType: "bottom",
positionData: l.depth + 0.2 + r.height + r.depth,
children: [
{ type: "elem", elem: r },
{ type: "kern", size: 0.2 },
{ type: "elem", elem: l },
],
},
e
);
}
return Dt.makeSpan(["mord", a.isOver ? "mover" : "munder"], [o], e);
};
Qt({
type: "horizBrace",
names: ["\\overbrace", "\\underbrace"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName;
return { type: "horizBrace", mode: r.mode, label: a, isOver: /^\\over/.test(a), base: e[0] };
},
htmlBuilder: Hr,
mathmlBuilder: function (t, e) {
var r = Re(t.label);
return new ve.MathNode(t.isOver ? "mover" : "munder", [Me(t.base, e), r]);
},
}),
Qt({
type: "href",
names: ["\\href"],
props: { numArgs: 2, argTypes: ["url", "original"], allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = e[1],
n = Ft(e[0], "url").url;
return r.settings.isTrusted({ command: "\\href", url: n }) ? { type: "href", mode: r.mode, href: n, body: ee(a) } : r.formatUnsupportedCmd("\\href");
},
htmlBuilder: function (t, e) {
var r = se(t.body, e, !1);
return Dt.makeAnchor(t.href, [], r, e);
},
mathmlBuilder: function (t, e) {
var r = Se(t.body, e);
return r instanceof ge || (r = new ge("mrow", [r])), r.setAttribute("href", t.href), r;
},
}),
Qt({
type: "href",
names: ["\\url"],
props: { numArgs: 1, argTypes: ["url"], allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = Ft(e[0], "url").url;
if (!r.settings.isTrusted({ command: "\\url", url: a })) return r.formatUnsupportedCmd("\\url");
for (var n = [], i = 0; i < a.length; i++) {
var o = a[i];
"~" === o && (o = "\\textasciitilde"), n.push({ type: "textord", mode: "text", text: o });
}
var s = { type: "text", mode: r.mode, font: "\\texttt", body: n };
return { type: "href", mode: r.mode, href: a, body: ee(s) };
},
}),
Qt({
type: "htmlmathml",
names: ["\\html@mathml"],
props: { numArgs: 2, allowedInText: !0 },
handler: function (t, e) {
return { type: "htmlmathml", mode: t.parser.mode, html: ee(e[0]), mathml: ee(e[1]) };
},
htmlBuilder: function (t, e) {
var r = se(t.html, e, !1);
return Dt.makeFragment(r);
},
mathmlBuilder: function (t, e) {
return Se(t.mathml, e);
},
});
var Pr = function (t) {
if (/^[-+]? *(\d+(\.\d*)?|\.\d+)$/.test(t)) return { number: +t, unit: "bp" };
var e = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t);
if (!e) throw new o("Invalid size: '" + t + "' in \\includegraphics");
var r = { number: +(e[1] + e[2]), unit: e[3] };
if (!At(r)) throw new o("Invalid unit: '" + r.unit + "' in \\includegraphics.");
return r;
};
Qt({
type: "includegraphics",
names: ["\\includegraphics"],
props: { numArgs: 1, numOptionalArgs: 1, argTypes: ["raw", "url"], allowedInText: !1 },
handler: function (t, e, r) {
var a = t.parser,
n = { number: 0, unit: "em" },
i = { number: 0.9, unit: "em" },
s = { number: 0, unit: "em" },
h = "";
if (r[0])
for (var l = Ft(r[0], "raw").string.split(","), m = 0; m < l.length; m++) {
var c = l[m].split("=");
if (2 === c.length) {
var u = c[1].trim();
switch (c[0].trim()) {
case "alt":
h = u;
break;
case "width":
n = Pr(u);
break;
case "height":
i = Pr(u);
break;
case "totalheight":
s = Pr(u);
break;
default:
throw new o("Invalid key: '" + c[0] + "' in \\includegraphics.");
}
}
}
var p = Ft(e[0], "url").url;
return (
"" === h && (h = (h = (h = p).replace(/^.*[\\\/]/, "")).substring(0, h.lastIndexOf("."))),
a.settings.isTrusted({ command: "\\includegraphics", url: p }) ? { type: "includegraphics", mode: a.mode, alt: h, width: n, height: i, totalheight: s, src: p } : a.formatUnsupportedCmd("\\includegraphics")
);
},
htmlBuilder: function (t, e) {
var r = Tt(t.height, e),
a = 0;
t.totalheight.number > 0 && ((a = Tt(t.totalheight, e) - r), (a = Number(a.toFixed(2))));
var n = 0;
t.width.number > 0 && (n = Tt(t.width, e));
var i = { height: r + a + "em" };
n > 0 && (i.width = n + "em"), a > 0 && (i.verticalAlign = -a + "em");
var o = new R(t.src, t.alt, i);
return (o.height = r), (o.depth = a), o;
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mglyph", []);
r.setAttribute("alt", t.alt);
var a = Tt(t.height, e),
n = 0;
if ((t.totalheight.number > 0 && ((n = (n = Tt(t.totalheight, e) - a).toFixed(2)), r.setAttribute("valign", "-" + n + "em")), r.setAttribute("height", a + n + "em"), t.width.number > 0)) {
var i = Tt(t.width, e);
r.setAttribute("width", i + "em");
}
return r.setAttribute("src", t.src), r;
},
}),
Qt({
type: "kern",
names: ["\\kern", "\\mkern", "\\hskip", "\\mskip"],
props: { numArgs: 1, argTypes: ["size"], allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = Ft(e[0], "size");
if (r.settings.strict) {
var i = "m" === a[1],
o = "mu" === n.value.unit;
i
? (o || r.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + a + " supports only mu units, not " + n.value.unit + " units"),
"math" !== r.mode && r.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + a + " works only in math mode"))
: o && r.settings.reportNonstrict("mathVsTextUnits", "LaTeX's " + a + " doesn't support mu units");
}
return { type: "kern", mode: r.mode, dimension: n.value };
},
htmlBuilder: function (t, e) {
return Dt.makeGlue(t.dimension, e);
},
mathmlBuilder: function (t, e) {
var r = Tt(t.dimension, e);
return new ve.SpaceNode(r);
},
}),
Qt({
type: "lap",
names: ["\\mathllap", "\\mathrlap", "\\mathclap"],
props: { numArgs: 1, allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0];
return { type: "lap", mode: r.mode, alignment: a.slice(5), body: n };
},
htmlBuilder: function (t, e) {
var r;
"clap" === t.alignment ? ((r = Dt.makeSpan([], [ue(t.body, e)])), (r = Dt.makeSpan(["inner"], [r], e))) : (r = Dt.makeSpan(["inner"], [ue(t.body, e)]));
var a = Dt.makeSpan(["fix"], []),
n = Dt.makeSpan([t.alignment], [r, a], e),
i = Dt.makeSpan(["strut"]);
return (
(i.style.height = n.height + n.depth + "em"),
(i.style.verticalAlign = -n.depth + "em"),
n.children.unshift(i),
(n = Dt.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: n }] }, e)),
Dt.makeSpan(["mord"], [n], e)
);
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mpadded", [Me(t.body, e)]);
if ("rlap" !== t.alignment) {
var a = "llap" === t.alignment ? "-1" : "-0.5";
r.setAttribute("lspace", a + "width");
}
return r.setAttribute("width", "0px"), r;
},
}),
Qt({
type: "styling",
names: ["\\(", "$"],
props: { numArgs: 0, allowedInText: !0, allowedInMath: !1 },
handler: function (t, e) {
var r = t.funcName,
a = t.parser,
n = a.mode;
a.switchMode("math");
var i = "\\(" === r ? "\\)" : "$",
o = a.parseExpression(!1, i);
return a.expect(i), a.switchMode(n), { type: "styling", mode: a.mode, style: "text", body: o };
},
}),
Qt({
type: "text",
names: ["\\)", "\\]"],
props: { numArgs: 0, allowedInText: !0, allowedInMath: !1 },
handler: function (t, e) {
throw new o("Mismatched " + t.funcName);
},
});
var Dr = function (t, e) {
switch (e.style.size) {
case w.DISPLAY.size:
return t.display;
case w.TEXT.size:
return t.text;
case w.SCRIPT.size:
return t.script;
case w.SCRIPTSCRIPT.size:
return t.scriptscript;
default:
return t.text;
}
};
Qt({
type: "mathchoice",
names: ["\\mathchoice"],
props: { numArgs: 4 },
handler: function (t, e) {
return { type: "mathchoice", mode: t.parser.mode, display: ee(e[0]), text: ee(e[1]), script: ee(e[2]), scriptscript: ee(e[3]) };
},
htmlBuilder: function (t, e) {
var r = Dr(t, e),
a = se(r, e, !1);
return Dt.makeFragment(a);
},
mathmlBuilder: function (t, e) {
var r = Dr(t, e);
return Se(r, e);
},
});
var Fr = function (t, e, r, a, n, i, o) {
var s, h, l;
if (((t = Dt.makeSpan([], [t])), e)) {
var m = ue(e, a.havingStyle(n.sup()), a);
h = { elem: m, kern: Math.max(a.fontMetrics().bigOpSpacing1, a.fontMetrics().bigOpSpacing3 - m.depth) };
}
if (r) {
var c = ue(r, a.havingStyle(n.sub()), a);
s = { elem: c, kern: Math.max(a.fontMetrics().bigOpSpacing2, a.fontMetrics().bigOpSpacing4 - c.height) };
}
if (h && s) {
var u = a.fontMetrics().bigOpSpacing5 + s.elem.height + s.elem.depth + s.kern + t.depth + o;
l = Dt.makeVList(
{
positionType: "bottom",
positionData: u,
children: [
{ type: "kern", size: a.fontMetrics().bigOpSpacing5 },
{ type: "elem", elem: s.elem, marginLeft: -i + "em" },
{ type: "kern", size: s.kern },
{ type: "elem", elem: t },
{ type: "kern", size: h.kern },
{ type: "elem", elem: h.elem, marginLeft: i + "em" },
{ type: "kern", size: a.fontMetrics().bigOpSpacing5 },
],
},
a
);
} else if (s) {
var p = t.height - o;
l = Dt.makeVList(
{
positionType: "top",
positionData: p,
children: [
{ type: "kern", size: a.fontMetrics().bigOpSpacing5 },
{ type: "elem", elem: s.elem, marginLeft: -i + "em" },
{ type: "kern", size: s.kern },
{ type: "elem", elem: t },
],
},
a
);
} else {
if (!h) return t;
var d = t.depth + o;
l = Dt.makeVList(
{
positionType: "bottom",
positionData: d,
children: [
{ type: "elem", elem: t },
{ type: "kern", size: h.kern },
{ type: "elem", elem: h.elem, marginLeft: i + "em" },
{ type: "kern", size: a.fontMetrics().bigOpSpacing5 },
],
},
a
);
}
return Dt.makeSpan(["mop", "op-limits"], [l], a);
},
Vr = ["\\smallint"],
Ur = function (t, e) {
var r,
a,
n,
i = !1,
o = Vt(t, "supsub");
o ? ((r = o.sup), (a = o.sub), (n = Ft(o.base, "op")), (i = !0)) : (n = Ft(t, "op"));
var s,
h = e.style,
l = !1;
if ((h.size === w.DISPLAY.size && n.symbol && !c.contains(Vr, n.name) && (l = !0), n.symbol)) {
var m = l ? "Size2-Regular" : "Size1-Regular",
u = "";
if (
(("\\oiint" !== n.name && "\\oiiint" !== n.name) || ((u = n.name.substr(1)), (n.name = "oiint" === u ? "\\iint" : "\\iiint")),
(s = Dt.makeSymbol(n.name, m, "math", e, ["mop", "op-symbol", l ? "large-op" : "small-op"])),
u.length > 0)
) {
var p = s.italic,
d = Dt.staticSvg(u + "Size" + (l ? "2" : "1"), e);
(s = Dt.makeVList(
{
positionType: "individualShift",
children: [
{ type: "elem", elem: s, shift: 0 },
{ type: "elem", elem: d, shift: l ? 0.08 : 0 },
],
},
e
)),
(n.name = "\\" + u),
s.classes.unshift("mop"),
(s.italic = p);
}
} else if (n.body) {
var f = se(n.body, e, !0);
1 === f.length && f[0] instanceof E ? ((s = f[0]).classes[0] = "mop") : (s = Dt.makeSpan(["mop"], Dt.tryCombineChars(f), e));
} else {
for (var g = [], x = 1; x < n.name.length; x++) g.push(Dt.mathsym(n.name[x], n.mode, e));
s = Dt.makeSpan(["mop"], g, e);
}
var v = 0,
b = 0;
return (
(s instanceof E || "\\oiint" === n.name || "\\oiiint" === n.name) && !n.suppressBaseShift && ((v = (s.height - s.depth) / 2 - e.fontMetrics().axisHeight), (b = s.italic)),
i ? Fr(s, r, a, e, h, b, v) : (v && ((s.style.position = "relative"), (s.style.top = v + "em")), s)
);
},
Gr = function (t, e) {
var r;
if (t.symbol) (r = new ge("mo", [be(t.name, t.mode)])), c.contains(Vr, t.name) && r.setAttribute("largeop", "false");
else if (t.body) r = new ge("mo", ke(t.body, e));
else {
r = new ge("mi", [new xe(t.name.slice(1))]);
var a = new ge("mo", [be("\u2061", "text")]);
r = t.parentIsSupSub ? new ge("mo", [r, a]) : fe([r, a]);
}
return r;
},
Yr = {
"\u220f": "\\prod",
"\u2210": "\\coprod",
"\u2211": "\\sum",
"\u22c0": "\\bigwedge",
"\u22c1": "\\bigvee",
"\u22c2": "\\bigcap",
"\u22c3": "\\bigcup",
"\u2a00": "\\bigodot",
"\u2a01": "\\bigoplus",
"\u2a02": "\\bigotimes",
"\u2a04": "\\biguplus",
"\u2a06": "\\bigsqcup",
};
Qt({
type: "op",
names: [
"\\coprod",
"\\bigvee",
"\\bigwedge",
"\\biguplus",
"\\bigcap",
"\\bigcup",
"\\intop",
"\\prod",
"\\sum",
"\\bigotimes",
"\\bigoplus",
"\\bigodot",
"\\bigsqcup",
"\\smallint",
"\u220f",
"\u2210",
"\u2211",
"\u22c0",
"\u22c1",
"\u22c2",
"\u22c3",
"\u2a00",
"\u2a01",
"\u2a02",
"\u2a04",
"\u2a06",
],
props: { numArgs: 0 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName;
return 1 === a.length && (a = Yr[a]), { type: "op", mode: r.mode, limits: !0, parentIsSupSub: !1, symbol: !0, name: a };
},
htmlBuilder: Ur,
mathmlBuilder: Gr,
}),
Qt({
type: "op",
names: ["\\mathop"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser,
a = e[0];
return { type: "op", mode: r.mode, limits: !1, parentIsSupSub: !1, symbol: !1, body: ee(a) };
},
htmlBuilder: Ur,
mathmlBuilder: Gr,
});
var Wr = { "\u222b": "\\int", "\u222c": "\\iint", "\u222d": "\\iiint", "\u222e": "\\oint", "\u222f": "\\oiint", "\u2230": "\\oiiint" };
Qt({
type: "op",
names: [
"\\arcsin",
"\\arccos",
"\\arctan",
"\\arctg",
"\\arcctg",
"\\arg",
"\\ch",
"\\cos",
"\\cosec",
"\\cosh",
"\\cot",
"\\cotg",
"\\coth",
"\\csc",
"\\ctg",
"\\cth",
"\\deg",
"\\dim",
"\\exp",
"\\hom",
"\\ker",
"\\lg",
"\\ln",
"\\log",
"\\sec",
"\\sin",
"\\sinh",
"\\sh",
"\\tan",
"\\tanh",
"\\tg",
"\\th",
],
props: { numArgs: 0 },
handler: function (t) {
var e = t.parser,
r = t.funcName;
return { type: "op", mode: e.mode, limits: !1, parentIsSupSub: !1, symbol: !1, name: r };
},
htmlBuilder: Ur,
mathmlBuilder: Gr,
}),
Qt({
type: "op",
names: ["\\det", "\\gcd", "\\inf", "\\lim", "\\max", "\\min", "\\Pr", "\\sup"],
props: { numArgs: 0 },
handler: function (t) {
var e = t.parser,
r = t.funcName;
return { type: "op", mode: e.mode, limits: !0, parentIsSupSub: !1, symbol: !1, name: r };
},
htmlBuilder: Ur,
mathmlBuilder: Gr,
}),
Qt({
type: "op",
names: ["\\int", "\\iint", "\\iiint", "\\oint", "\\oiint", "\\oiiint", "\u222b", "\u222c", "\u222d", "\u222e", "\u222f", "\u2230"],
props: { numArgs: 0 },
handler: function (t) {
var e = t.parser,
r = t.funcName;
return 1 === r.length && (r = Wr[r]), { type: "op", mode: e.mode, limits: !1, parentIsSupSub: !1, symbol: !0, name: r };
},
htmlBuilder: Ur,
mathmlBuilder: Gr,
});
var Xr = function (t, e) {
var r,
a,
n,
i,
o = !1,
s = Vt(t, "supsub");
if ((s ? ((r = s.sup), (a = s.sub), (n = Ft(s.base, "operatorname")), (o = !0)) : (n = Ft(t, "operatorname")), n.body.length > 0)) {
for (
var h = n.body.map(function (t) {
var e = t.text;
return "string" == typeof e ? { type: "textord", mode: t.mode, text: e } : t;
}),
l = se(h, e.withFont("mathrm"), !0),
m = 0;
m < l.length;
m++
) {
var c = l[m];
c instanceof E && (c.text = c.text.replace(/\u2212/, "-").replace(/\u2217/, "*"));
}
i = Dt.makeSpan(["mop"], l, e);
} else i = Dt.makeSpan(["mop"], [], e);
return o ? Fr(i, r, a, e, e.style, 0, 0) : i;
};
function _r(t, e, r) {
for (var a = se(t, e, !1), n = e.sizeMultiplier / r.sizeMultiplier, i = 0; i < a.length; i++) {
var o = a[i].classes.indexOf("sizing");
o < 0 ? Array.prototype.push.apply(a[i].classes, e.sizingClasses(r)) : a[i].classes[o + 1] === "reset-size" + e.size && (a[i].classes[o + 1] = "reset-size" + r.size), (a[i].height *= n), (a[i].depth *= n);
}
return Dt.makeFragment(a);
}
Qt({
type: "operatorname",
names: ["\\operatorname", "\\operatorname*"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0];
return { type: "operatorname", mode: r.mode, body: ee(n), alwaysHandleSupSub: "\\operatorname*" === a, limits: !1, parentIsSupSub: !1 };
},
htmlBuilder: Xr,
mathmlBuilder: function (t, e) {
for (var r = ke(t.body, e.withFont("mathrm")), a = !0, n = 0; n < r.length; n++) {
var i = r[n];
if (i instanceof ve.SpaceNode);
else if (i instanceof ve.MathNode)
switch (i.type) {
case "mi":
case "mn":
case "ms":
case "mspace":
case "mtext":
break;
case "mo":
var o = i.children[0];
1 === i.children.length && o instanceof ve.TextNode ? (o.text = o.text.replace(/\u2212/, "-").replace(/\u2217/, "*")) : (a = !1);
break;
default:
a = !1;
}
else a = !1;
}
if (a) {
var s = r
.map(function (t) {
return t.toText();
})
.join("");
r = [new ve.TextNode(s)];
}
var h = new ve.MathNode("mi", r);
h.setAttribute("mathvariant", "normal");
var l = new ve.MathNode("mo", [be("\u2061", "text")]);
return t.parentIsSupSub ? new ve.MathNode("mo", [h, l]) : ve.newDocumentFragment([h, l]);
},
}),
te({
type: "ordgroup",
htmlBuilder: function (t, e) {
return t.semisimple ? Dt.makeFragment(se(t.body, e, !1)) : Dt.makeSpan(["mord"], se(t.body, e, !0), e);
},
mathmlBuilder: function (t, e) {
return Se(t.body, e, !0);
},
}),
Qt({
type: "overline",
names: ["\\overline"],
props: { numArgs: 1 },
handler: function (t, e) {
var r = t.parser,
a = e[0];
return { type: "overline", mode: r.mode, body: a };
},
htmlBuilder: function (t, e) {
var r = ue(t.body, e.havingCrampedStyle()),
a = Dt.makeLineSpan("overline-line", e),
n = e.fontMetrics().defaultRuleThickness,
i = Dt.makeVList(
{
positionType: "firstBaseline",
children: [
{ type: "elem", elem: r },
{ type: "kern", size: 3 * n },
{ type: "elem", elem: a },
{ type: "kern", size: n },
],
},
e
);
return Dt.makeSpan(["mord", "overline"], [i], e);
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mo", [new ve.TextNode("\u203e")]);
r.setAttribute("stretchy", "true");
var a = new ve.MathNode("mover", [Me(t.body, e), r]);
return a.setAttribute("accent", "true"), a;
},
}),
Qt({
type: "phantom",
names: ["\\phantom"],
props: { numArgs: 1, allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = e[0];
return { type: "phantom", mode: r.mode, body: ee(a) };
},
htmlBuilder: function (t, e) {
var r = se(t.body, e.withPhantom(), !1);
return Dt.makeFragment(r);
},
mathmlBuilder: function (t, e) {
var r = ke(t.body, e);
return new ve.MathNode("mphantom", r);
},
}),
Qt({
type: "hphantom",
names: ["\\hphantom"],
props: { numArgs: 1, allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = e[0];
return { type: "hphantom", mode: r.mode, body: a };
},
htmlBuilder: function (t, e) {
var r = Dt.makeSpan([], [ue(t.body, e.withPhantom())]);
if (((r.height = 0), (r.depth = 0), r.children)) for (var a = 0; a < r.children.length; a++) (r.children[a].height = 0), (r.children[a].depth = 0);
return (r = Dt.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }] }, e)), Dt.makeSpan(["mord"], [r], e);
},
mathmlBuilder: function (t, e) {
var r = ke(ee(t.body), e),
a = new ve.MathNode("mphantom", r),
n = new ve.MathNode("mpadded", [a]);
return n.setAttribute("height", "0px"), n.setAttribute("depth", "0px"), n;
},
}),
Qt({
type: "vphantom",
names: ["\\vphantom"],
props: { numArgs: 1, allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = e[0];
return { type: "vphantom", mode: r.mode, body: a };
},
htmlBuilder: function (t, e) {
var r = Dt.makeSpan(["inner"], [ue(t.body, e.withPhantom())]),
a = Dt.makeSpan(["fix"], []);
return Dt.makeSpan(["mord", "rlap"], [r, a], e);
},
mathmlBuilder: function (t, e) {
var r = ke(ee(t.body), e),
a = new ve.MathNode("mphantom", r),
n = new ve.MathNode("mpadded", [a]);
return n.setAttribute("width", "0px"), n;
},
}),
Qt({
type: "raisebox",
names: ["\\raisebox"],
props: { numArgs: 2, argTypes: ["size", "hbox"], allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = Ft(e[0], "size").value,
n = e[1];
return { type: "raisebox", mode: r.mode, dy: a, body: n };
},
htmlBuilder: function (t, e) {
var r = ue(t.body, e),
a = Tt(t.dy, e);
return Dt.makeVList({ positionType: "shift", positionData: -a, children: [{ type: "elem", elem: r }] }, e);
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mpadded", [Me(t.body, e)]),
a = t.dy.number + t.dy.unit;
return r.setAttribute("voffset", a), r;
},
}),
Qt({
type: "rule",
names: ["\\rule"],
props: { numArgs: 2, numOptionalArgs: 1, argTypes: ["size", "size", "size"] },
handler: function (t, e, r) {
var a = t.parser,
n = r[0],
i = Ft(e[0], "size"),
o = Ft(e[1], "size");
return { type: "rule", mode: a.mode, shift: n && Ft(n, "size").value, width: i.value, height: o.value };
},
htmlBuilder: function (t, e) {
var r = Dt.makeSpan(["mord", "rule"], [], e),
a = Tt(t.width, e),
n = Tt(t.height, e),
i = t.shift ? Tt(t.shift, e) : 0;
return (r.style.borderRightWidth = a + "em"), (r.style.borderTopWidth = n + "em"), (r.style.bottom = i + "em"), (r.width = a), (r.height = n + i), (r.depth = -i), (r.maxFontSize = 1.125 * n * e.sizeMultiplier), r;
},
mathmlBuilder: function (t, e) {
var r = Tt(t.width, e),
a = Tt(t.height, e),
n = t.shift ? Tt(t.shift, e) : 0,
i = (e.color && e.getColor()) || "black",
o = new ve.MathNode("mspace");
o.setAttribute("mathbackground", i), o.setAttribute("width", r + "em"), o.setAttribute("height", a + "em");
var s = new ve.MathNode("mpadded", [o]);
return n >= 0 ? s.setAttribute("height", "+" + n + "em") : (s.setAttribute("height", n + "em"), s.setAttribute("depth", "+" + -n + "em")), s.setAttribute("voffset", n + "em"), s;
},
});
var jr = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"];
Qt({
type: "sizing",
names: jr,
props: { numArgs: 0, allowedInText: !0 },
handler: function (t, e) {
var r = t.breakOnTokenText,
a = t.funcName,
n = t.parser,
i = n.parseExpression(!1, r);
return { type: "sizing", mode: n.mode, size: jr.indexOf(a) + 1, body: i };
},
htmlBuilder: function (t, e) {
var r = e.havingSize(t.size);
return _r(t.body, r, e);
},
mathmlBuilder: function (t, e) {
var r = e.havingSize(t.size),
a = ke(t.body, r),
n = new ve.MathNode("mstyle", a);
return n.setAttribute("mathsize", r.sizeMultiplier + "em"), n;
},
}),
Qt({
type: "smash",
names: ["\\smash"],
props: { numArgs: 1, numOptionalArgs: 1, allowedInText: !0 },
handler: function (t, e, r) {
var a = t.parser,
n = !1,
i = !1,
o = r[0] && Ft(r[0], "ordgroup");
if (o)
for (var s = "", h = 0; h < o.body.length; ++h) {
if ("t" === (s = o.body[h].text)) n = !0;
else {
if ("b" !== s) {
(n = !1), (i = !1);
break;
}
i = !0;
}
}
else (n = !0), (i = !0);
var l = e[0];
return { type: "smash", mode: a.mode, body: l, smashHeight: n, smashDepth: i };
},
htmlBuilder: function (t, e) {
var r = Dt.makeSpan([], [ue(t.body, e)]);
if (!t.smashHeight && !t.smashDepth) return r;
if (t.smashHeight && ((r.height = 0), r.children)) for (var a = 0; a < r.children.length; a++) r.children[a].height = 0;
if (t.smashDepth && ((r.depth = 0), r.children)) for (var n = 0; n < r.children.length; n++) r.children[n].depth = 0;
var i = Dt.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }] }, e);
return Dt.makeSpan(["mord"], [i], e);
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mpadded", [Me(t.body, e)]);
return t.smashHeight && r.setAttribute("height", "0px"), t.smashDepth && r.setAttribute("depth", "0px"), r;
},
}),
Qt({
type: "sqrt",
names: ["\\sqrt"],
props: { numArgs: 1, numOptionalArgs: 1 },
handler: function (t, e, r) {
var a = t.parser,
n = r[0],
i = e[0];
return { type: "sqrt", mode: a.mode, body: i, index: n };
},
htmlBuilder: function (t, e) {
var r = ue(t.body, e.havingCrampedStyle());
0 === r.height && (r.height = e.fontMetrics().xHeight), (r = Dt.wrapFragment(r, e));
var a = e.fontMetrics().defaultRuleThickness,
n = a;
e.style.id < w.TEXT.id && (n = e.fontMetrics().xHeight);
var i = a + n / 4,
o = r.height + r.depth + i + a,
s = ir(o, e),
h = s.span,
l = s.ruleWidth,
m = s.advanceWidth,
c = h.height - l;
c > r.height + r.depth + i && (i = (i + c - r.height - r.depth) / 2);
var u = h.height - r.height - i - l;
r.style.paddingLeft = m + "em";
var p = Dt.makeVList(
{
positionType: "firstBaseline",
children: [
{ type: "elem", elem: r, wrapperClasses: ["svg-align"] },
{ type: "kern", size: -(r.height + u) },
{ type: "elem", elem: h },
{ type: "kern", size: l },
],
},
e
);
if (t.index) {
var d = e.havingStyle(w.SCRIPTSCRIPT),
f = ue(t.index, d, e),
g = 0.6 * (p.height - p.depth),
x = Dt.makeVList({ positionType: "shift", positionData: -g, children: [{ type: "elem", elem: f }] }, e),
v = Dt.makeSpan(["root"], [x]);
return Dt.makeSpan(["mord", "sqrt"], [v, p], e);
}
return Dt.makeSpan(["mord", "sqrt"], [p], e);
},
mathmlBuilder: function (t, e) {
var r = t.body,
a = t.index;
return a ? new ve.MathNode("mroot", [Me(r, e), Me(a, e)]) : new ve.MathNode("msqrt", [Me(r, e)]);
},
});
var $r = { display: w.DISPLAY, text: w.TEXT, script: w.SCRIPT, scriptscript: w.SCRIPTSCRIPT };
Qt({
type: "styling",
names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"],
props: { numArgs: 0, allowedInText: !0 },
handler: function (t, e) {
var r = t.breakOnTokenText,
a = t.funcName,
n = t.parser,
i = n.parseExpression(!0, r),
o = a.slice(1, a.length - 5);
return { type: "styling", mode: n.mode, style: o, body: i };
},
htmlBuilder: function (t, e) {
var r = $r[t.style],
a = e.havingStyle(r).withFont("");
return _r(t.body, a, e);
},
mathmlBuilder: function (t, e) {
var r = $r[t.style],
a = e.havingStyle(r),
n = ke(t.body, a),
i = new ve.MathNode("mstyle", n),
o = { display: ["0", "true"], text: ["0", "false"], script: ["1", "false"], scriptscript: ["2", "false"] }[t.style];
return i.setAttribute("scriptlevel", o[0]), i.setAttribute("displaystyle", o[1]), i;
},
});
te({
type: "supsub",
htmlBuilder: function (t, e) {
var r = (function (t, e) {
var r = t.base;
return r
? "op" === r.type
? r.limits && (e.style.size === w.DISPLAY.size || r.alwaysHandleSupSub)
? Ur
: null
: "operatorname" === r.type
? r.alwaysHandleSupSub && (e.style.size === w.DISPLAY.size || r.limits)
? Xr
: null
: "accent" === r.type
? c.isCharacterBox(r.base)
? Ee
: null
: "horizBrace" === r.type && !t.sub === r.isOver
? Hr
: null
: null;
})(t, e);
if (r) return r(t, e);
var a,
n,
i,
o = t.base,
s = t.sup,
h = t.sub,
l = ue(o, e),
m = e.fontMetrics(),
u = 0,
p = 0,
d = o && c.isCharacterBox(o);
if (s) {
var f = e.havingStyle(e.style.sup());
(a = ue(s, f, e)), d || (u = l.height - (f.fontMetrics().supDrop * f.sizeMultiplier) / e.sizeMultiplier);
}
if (h) {
var g = e.havingStyle(e.style.sub());
(n = ue(h, g, e)), d || (p = l.depth + (g.fontMetrics().subDrop * g.sizeMultiplier) / e.sizeMultiplier);
}
i = e.style === w.DISPLAY ? m.sup1 : e.style.cramped ? m.sup3 : m.sup2;
var x,
v = e.sizeMultiplier,
b = 0.5 / m.ptPerEm / v + "em",
y = null;
if (n) {
var k = t.base && "op" === t.base.type && t.base.name && ("\\oiint" === t.base.name || "\\oiiint" === t.base.name);
(l instanceof E || k) && (y = -l.italic + "em");
}
if (a && n) {
(u = Math.max(u, i, a.depth + 0.25 * m.xHeight)), (p = Math.max(p, m.sub2));
var S = 4 * m.defaultRuleThickness;
if (u - a.depth - (n.height - p) < S) {
p = S - (u - a.depth) + n.height;
var M = 0.8 * m.xHeight - (u - a.depth);
M > 0 && ((u += M), (p -= M));
}
var z = [
{ type: "elem", elem: n, shift: p, marginRight: b, marginLeft: y },
{ type: "elem", elem: a, shift: -u, marginRight: b },
];
x = Dt.makeVList({ positionType: "individualShift", children: z }, e);
} else if (n) {
p = Math.max(p, m.sub1, n.height - 0.8 * m.xHeight);
var A = [{ type: "elem", elem: n, marginLeft: y, marginRight: b }];
x = Dt.makeVList({ positionType: "shift", positionData: p, children: A }, e);
} else {
if (!a) throw new Error("supsub must have either sup or sub.");
(u = Math.max(u, i, a.depth + 0.25 * m.xHeight)), (x = Dt.makeVList({ positionType: "shift", positionData: -u, children: [{ type: "elem", elem: a, marginRight: b }] }, e));
}
var T = me(l, "right") || "mord";
return Dt.makeSpan([T], [l, Dt.makeSpan(["msupsub"], [x])], e);
},
mathmlBuilder: function (t, e) {
var r,
a = !1,
n = Vt(t.base, "horizBrace");
n && !!t.sup === n.isOver && ((a = !0), (r = n.isOver)), !t.base || ("op" !== t.base.type && "operatorname" !== t.base.type) || (t.base.parentIsSupSub = !0);
var i,
o = [Me(t.base, e)];
if ((t.sub && o.push(Me(t.sub, e)), t.sup && o.push(Me(t.sup, e)), a)) i = r ? "mover" : "munder";
else if (t.sub)
if (t.sup) {
var s = t.base;
i = s && "op" === s.type && s.limits && e.style === w.DISPLAY ? "munderover" : s && "operatorname" === s.type && s.alwaysHandleSupSub && (e.style === w.DISPLAY || s.limits) ? "munderover" : "msubsup";
} else {
var h = t.base;
i =
h && "op" === h.type && h.limits && (e.style === w.DISPLAY || h.alwaysHandleSupSub)
? "munder"
: h && "operatorname" === h.type && h.alwaysHandleSupSub && (h.limits || e.style === w.DISPLAY)
? "munder"
: "msub";
}
else {
var l = t.base;
i = l && "op" === l.type && l.limits && (e.style === w.DISPLAY || l.alwaysHandleSupSub) ? "mover" : l && "operatorname" === l.type && l.alwaysHandleSupSub && (l.limits || e.style === w.DISPLAY) ? "mover" : "msup";
}
return new ve.MathNode(i, o);
},
}),
te({
type: "atom",
htmlBuilder: function (t, e) {
return Dt.mathsym(t.text, t.mode, e, ["m" + t.family]);
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mo", [be(t.text, t.mode)]);
if ("bin" === t.family) {
var a = we(t, e);
"bold-italic" === a && r.setAttribute("mathvariant", a);
} else "punct" === t.family ? r.setAttribute("separator", "true") : ("open" !== t.family && "close" !== t.family) || r.setAttribute("stretchy", "false");
return r;
},
});
var Zr = { mi: "italic", mn: "normal", mtext: "normal" };
te({
type: "mathord",
htmlBuilder: function (t, e) {
return Dt.makeOrd(t, e, "mathord");
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mi", [be(t.text, t.mode, e)]),
a = we(t, e) || "italic";
return a !== Zr[r.type] && r.setAttribute("mathvariant", a), r;
},
}),
te({
type: "textord",
htmlBuilder: function (t, e) {
return Dt.makeOrd(t, e, "textord");
},
mathmlBuilder: function (t, e) {
var r,
a = be(t.text, t.mode, e),
n = we(t, e) || "normal";
return (
(r = "text" === t.mode ? new ve.MathNode("mtext", [a]) : /[0-9]/.test(t.text) ? new ve.MathNode("mn", [a]) : "\\prime" === t.text ? new ve.MathNode("mo", [a]) : new ve.MathNode("mi", [a])),
n !== Zr[r.type] && r.setAttribute("mathvariant", n),
r
);
},
});
var Kr = { "\\nobreak": "nobreak", "\\allowbreak": "allowbreak" },
Jr = { " ": {}, "\\ ": {}, "~": { className: "nobreak" }, "\\space": {}, "\\nobreakspace": { className: "nobreak" } };
te({
type: "spacing",
htmlBuilder: function (t, e) {
if (Jr.hasOwnProperty(t.text)) {
var r = Jr[t.text].className || "";
if ("text" === t.mode) {
var a = Dt.makeOrd(t, e, "textord");
return a.classes.push(r), a;
}
return Dt.makeSpan(["mspace", r], [Dt.mathsym(t.text, t.mode, e)], e);
}
if (Kr.hasOwnProperty(t.text)) return Dt.makeSpan(["mspace", Kr[t.text]], [], e);
throw new o('Unknown type of space "' + t.text + '"');
},
mathmlBuilder: function (t, e) {
if (!Jr.hasOwnProperty(t.text)) {
if (Kr.hasOwnProperty(t.text)) return new ve.MathNode("mspace");
throw new o('Unknown type of space "' + t.text + '"');
}
return new ve.MathNode("mtext", [new ve.TextNode("\xa0")]);
},
});
var Qr = function () {
var t = new ve.MathNode("mtd", []);
return t.setAttribute("width", "50%"), t;
};
te({
type: "tag",
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mtable", [new ve.MathNode("mtr", [Qr(), new ve.MathNode("mtd", [Se(t.body, e)]), Qr(), new ve.MathNode("mtd", [Se(t.tag, e)])])]);
return r.setAttribute("width", "100%"), r;
},
});
var ta = { "\\text": void 0, "\\textrm": "textrm", "\\textsf": "textsf", "\\texttt": "texttt", "\\textnormal": "textrm" },
ea = { "\\textbf": "textbf", "\\textmd": "textmd" },
ra = { "\\textit": "textit", "\\textup": "textup" },
aa = function (t, e) {
var r = t.font;
return r ? (ta[r] ? e.withTextFontFamily(ta[r]) : ea[r] ? e.withTextFontWeight(ea[r]) : e.withTextFontShape(ra[r])) : e;
};
Qt({
type: "text",
names: ["\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", "\\textbf", "\\textmd", "\\textit", "\\textup"],
props: { numArgs: 1, argTypes: ["text"], greediness: 2, allowedInText: !0 },
handler: function (t, e) {
var r = t.parser,
a = t.funcName,
n = e[0];
return { type: "text", mode: r.mode, body: ee(n), font: a };
},
htmlBuilder: function (t, e) {
var r = aa(t, e),
a = se(t.body, r, !0);
return Dt.makeSpan(["mord", "text"], Dt.tryCombineChars(a), r);
},
mathmlBuilder: function (t, e) {
var r = aa(t, e);
return Se(t.body, r);
},
}),
Qt({
type: "underline",
names: ["\\underline"],
props: { numArgs: 1, allowedInText: !0 },
handler: function (t, e) {
return { type: "underline", mode: t.parser.mode, body: e[0] };
},
htmlBuilder: function (t, e) {
var r = ue(t.body, e),
a = Dt.makeLineSpan("underline-line", e),
n = e.fontMetrics().defaultRuleThickness,
i = Dt.makeVList(
{
positionType: "top",
positionData: r.height,
children: [
{ type: "kern", size: n },
{ type: "elem", elem: a },
{ type: "kern", size: 3 * n },
{ type: "elem", elem: r },
],
},
e
);
return Dt.makeSpan(["mord", "underline"], [i], e);
},
mathmlBuilder: function (t, e) {
var r = new ve.MathNode("mo", [new ve.TextNode("\u203e")]);
r.setAttribute("stretchy", "true");
var a = new ve.MathNode("munder", [Me(t.body, e), r]);
return a.setAttribute("accentunder", "true"), a;
},
}),
Qt({
type: "verb",
names: ["\\verb"],
props: { numArgs: 0, allowedInText: !0 },
handler: function (t, e, r) {
throw new o("\\verb ended by end of line instead of matching delimiter");
},
htmlBuilder: function (t, e) {
for (var r = na(t), a = [], n = e.havingStyle(e.style.text()), i = 0; i < r.length; i++) {
var o = r[i];
"~" === o && (o = "\\textasciitilde"), a.push(Dt.makeSymbol(o, "Typewriter-Regular", t.mode, n, ["mord", "texttt"]));
}
return Dt.makeSpan(["mord", "text"].concat(n.sizingClasses(e)), Dt.tryCombineChars(a), n);
},
mathmlBuilder: function (t, e) {
var r = new ve.TextNode(na(t)),
a = new ve.MathNode("mtext", [r]);
return a.setAttribute("mathvariant", "monospace"), a;
},
});
var na = function (t) {
return t.body.replace(/ /g, t.star ? "\u2423" : "\xa0");
},
ia = Zt,
oa = new RegExp("^(\\\\[a-zA-Z@]+)[ \r\n\t]*$"),
sa = new RegExp("[\u0300-\u036f]+$"),
ha =
"([ \r\n\t]+)|([!-\\[\\]-\u2027\u202a-\ud7ff\uf900-\uffff][\u0300-\u036f]*|[\ud800-\udbff][\udc00-\udfff][\u0300-\u036f]*|\\\\verb\\*([^]).*?\\3|\\\\verb([^*a-zA-Z]).*?\\4|\\\\operatorname\\*|\\\\[a-zA-Z@]+[ \r\n\t]*|\\\\[^\ud800-\udfff])",
la = (function () {
function t(t, e) {
(this.input = void 0), (this.settings = void 0), (this.tokenRegex = void 0), (this.catcodes = void 0), (this.input = t), (this.settings = e), (this.tokenRegex = new RegExp(ha, "g")), (this.catcodes = { "%": 14 });
}
var e = t.prototype;
return (
(e.setCatcode = function (t, e) {
this.catcodes[t] = e;
}),
(e.lex = function () {
var t = this.input,
e = this.tokenRegex.lastIndex;
if (e === t.length) return new n("EOF", new a(this, e, e));
var r = this.tokenRegex.exec(t);
if (null === r || r.index !== e) throw new o("Unexpected character: '" + t[e] + "'", new n(t[e], new a(this, e, e + 1)));
var i = r[2] || " ";
if (14 === this.catcodes[i]) {
var s = t.indexOf("\n", this.tokenRegex.lastIndex);
return (
-1 === s
? ((this.tokenRegex.lastIndex = t.length), this.settings.reportNonstrict("commentAtEnd", "% comment has no terminating newline; LaTeX would fail because of commenting the end of math mode (e.g. $)"))
: (this.tokenRegex.lastIndex = s + 1),
this.lex()
);
}
var h = i.match(oa);
return h && (i = h[1]), new n(i, new a(this, e, this.tokenRegex.lastIndex));
}),
t
);
})(),
ma = (function () {
function t(t, e) {
void 0 === t && (t = {}), void 0 === e && (e = {}), (this.current = void 0), (this.builtins = void 0), (this.undefStack = void 0), (this.current = e), (this.builtins = t), (this.undefStack = []);
}
var e = t.prototype;
return (
(e.beginGroup = function () {
this.undefStack.push({});
}),
(e.endGroup = function () {
if (0 === this.undefStack.length) throw new o("Unbalanced namespace destruction: attempt to pop global namespace; please report this as a bug");
var t = this.undefStack.pop();
for (var e in t) t.hasOwnProperty(e) && (void 0 === t[e] ? delete this.current[e] : (this.current[e] = t[e]));
}),
(e.has = function (t) {
return this.current.hasOwnProperty(t) || this.builtins.hasOwnProperty(t);
}),
(e.get = function (t) {
return this.current.hasOwnProperty(t) ? this.current[t] : this.builtins[t];
}),
(e.set = function (t, e, r) {
if ((void 0 === r && (r = !1), r)) {
for (var a = 0; a < this.undefStack.length; a++) delete this.undefStack[a][t];
this.undefStack.length > 0 && (this.undefStack[this.undefStack.length - 1][t] = e);
} else {
var n = this.undefStack[this.undefStack.length - 1];
n && !n.hasOwnProperty(t) && (n[t] = this.current[t]);
}
this.current[t] = e;
}),
t
);
})(),
ca = {},
ua = ca;
function pa(t, e) {
ca[t] = e;
}
pa("\\@firstoftwo", function (t) {
return { tokens: t.consumeArgs(2)[0], numArgs: 0 };
}),
pa("\\@secondoftwo", function (t) {
return { tokens: t.consumeArgs(2)[1], numArgs: 0 };
}),
pa("\\@ifnextchar", function (t) {
var e = t.consumeArgs(3),
r = t.future();
return 1 === e[0].length && e[0][0].text === r.text ? { tokens: e[1], numArgs: 0 } : { tokens: e[2], numArgs: 0 };
}),
pa("\\@ifstar", "\\@ifnextchar *{\\@firstoftwo{#1}}"),
pa("\\TextOrMath", function (t) {
var e = t.consumeArgs(2);
return "text" === t.mode ? { tokens: e[0], numArgs: 0 } : { tokens: e[1], numArgs: 0 };
});
var da = { 0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, a: 10, A: 10, b: 11, B: 11, c: 12, C: 12, d: 13, D: 13, e: 14, E: 14, f: 15, F: 15 };
pa("\\char", function (t) {
var e,
r = t.popToken(),
a = "";
if ("'" === r.text) (e = 8), (r = t.popToken());
else if ('"' === r.text) (e = 16), (r = t.popToken());
else if ("`" === r.text)
if ("\\" === (r = t.popToken()).text[0]) a = r.text.charCodeAt(1);
else {
if ("EOF" === r.text) throw new o("\\char` missing argument");
a = r.text.charCodeAt(0);
}
else e = 10;
if (e) {
if (null == (a = da[r.text]) || a >= e) throw new o("Invalid base-" + e + " digit " + r.text);
for (var n; null != (n = da[t.future().text]) && n < e; ) (a *= e), (a += n), t.popToken();
}
return "\\@char{" + a + "}";
});
var fa = function (t, e) {
var r = t.consumeArgs(1)[0];
if (1 !== r.length) throw new o("\\gdef's first argument must be a macro name");
var a = r[0].text,
n = 0;
for (r = t.consumeArgs(1)[0]; 1 === r.length && "#" === r[0].text; ) {
if (1 !== (r = t.consumeArgs(1)[0]).length) throw new o('Invalid argument number length "' + r.length + '"');
if (!/^[1-9]$/.test(r[0].text)) throw new o('Invalid argument number "' + r[0].text + '"');
if ((n++, parseInt(r[0].text) !== n)) throw new o('Argument number "' + r[0].text + '" out of order');
r = t.consumeArgs(1)[0];
}
return t.macros.set(a, { tokens: r, numArgs: n }, e), "";
};
pa("\\gdef", function (t) {
return fa(t, !0);
}),
pa("\\def", function (t) {
return fa(t, !1);
}),
pa("\\global", function (t) {
var e = t.consumeArgs(1)[0];
if (1 !== e.length) throw new o("Invalid command after \\global");
var r = e[0].text;
if ("\\def" === r) return fa(t, !0);
throw new o("Invalid command '" + r + "' after \\global");
});
var ga = function (t, e, r) {
var a = t.consumeArgs(1)[0];
if (1 !== a.length) throw new o("\\newcommand's first argument must be a macro name");
var n = a[0].text,
i = t.isDefined(n);
if (i && !e) throw new o("\\newcommand{" + n + "} attempting to redefine " + n + "; use \\renewcommand");
if (!i && !r) throw new o("\\renewcommand{" + n + "} when command " + n + " does not yet exist; use \\newcommand");
var s = 0;
if (1 === (a = t.consumeArgs(1)[0]).length && "[" === a[0].text) {
for (var h = "", l = t.expandNextToken(); "]" !== l.text && "EOF" !== l.text; ) (h += l.text), (l = t.expandNextToken());
if (!h.match(/^\s*[0-9]+\s*$/)) throw new o("Invalid number of arguments: " + h);
(s = parseInt(h)), (a = t.consumeArgs(1)[0]);
}
return t.macros.set(n, { tokens: a, numArgs: s }), "";
};
pa("\\newcommand", function (t) {
return ga(t, !1, !0);
}),
pa("\\renewcommand", function (t) {
return ga(t, !0, !1);
}),
pa("\\providecommand", function (t) {
return ga(t, !0, !0);
}),
pa("\\bgroup", "{"),
pa("\\egroup", "}"),
pa("\\lq", "`"),
pa("\\rq", "'"),
pa("\\aa", "\\r a"),
pa("\\AA", "\\r A"),
pa("\\textcopyright", "\\html@mathml{\\textcircled{c}}{\\char`\xa9}"),
pa("\\copyright", "\\TextOrMath{\\textcopyright}{\\text{\\textcopyright}}"),
pa("\\textregistered", "\\html@mathml{\\textcircled{\\scriptsize R}}{\\char`\xae}"),
pa("\u212c", "\\mathscr{B}"),
pa("\u2130", "\\mathscr{E}"),
pa("\u2131", "\\mathscr{F}"),
pa("\u210b", "\\mathscr{H}"),
pa("\u2110", "\\mathscr{I}"),
pa("\u2112", "\\mathscr{L}"),
pa("\u2133", "\\mathscr{M}"),
pa("\u211b", "\\mathscr{R}"),
pa("\u212d", "\\mathfrak{C}"),
pa("\u210c", "\\mathfrak{H}"),
pa("\u2128", "\\mathfrak{Z}"),
pa("\\Bbbk", "\\Bbb{k}"),
pa("\xb7", "\\cdotp"),
pa("\\llap", "\\mathllap{\\textrm{#1}}"),
pa("\\rlap", "\\mathrlap{\\textrm{#1}}"),
pa("\\clap", "\\mathclap{\\textrm{#1}}"),
pa("\\not", '\\html@mathml{\\mathrel{\\mathrlap\\@not}}{\\char"338}'),
pa("\\neq", "\\html@mathml{\\mathrel{\\not=}}{\\mathrel{\\char`\u2260}}"),
pa("\\ne", "\\neq"),
pa("\u2260", "\\neq"),
pa("\\notin", "\\html@mathml{\\mathrel{{\\in}\\mathllap{/\\mskip1mu}}}{\\mathrel{\\char`\u2209}}"),
pa("\u2209", "\\notin"),
pa("\u2258", "\\html@mathml{\\mathrel{=\\kern{-1em}\\raisebox{0.4em}{$\\scriptsize\\frown$}}}{\\mathrel{\\char`\u2258}}"),
pa("\u2259", "\\html@mathml{\\stackrel{\\tiny\\wedge}{=}}{\\mathrel{\\char`\u2258}}"),
pa("\u225a", "\\html@mathml{\\stackrel{\\tiny\\vee}{=}}{\\mathrel{\\char`\u225a}}"),
pa("\u225b", "\\html@mathml{\\stackrel{\\scriptsize\\star}{=}}{\\mathrel{\\char`\u225b}}"),
pa("\u225d", "\\html@mathml{\\stackrel{\\tiny\\mathrm{def}}{=}}{\\mathrel{\\char`\u225d}}"),
pa("\u225e", "\\html@mathml{\\stackrel{\\tiny\\mathrm{m}}{=}}{\\mathrel{\\char`\u225e}}"),
pa("\u225f", "\\html@mathml{\\stackrel{\\tiny?}{=}}{\\mathrel{\\char`\u225f}}"),
pa("\u27c2", "\\perp"),
pa("\u203c", "\\mathclose{!\\mkern-0.8mu!}"),
pa("\u220c", "\\notni"),
pa("\u231c", "\\ulcorner"),
pa("\u231d", "\\urcorner"),
pa("\u231e", "\\llcorner"),
pa("\u231f", "\\lrcorner"),
pa("\xa9", "\\copyright"),
pa("\xae", "\\textregistered"),
pa("\ufe0f", "\\textregistered"),
pa("\\vdots", "\\mathord{\\varvdots\\rule{0pt}{15pt}}"),
pa("\u22ee", "\\vdots"),
pa("\\varGamma", "\\mathit{\\Gamma}"),
pa("\\varDelta", "\\mathit{\\Delta}"),
pa("\\varTheta", "\\mathit{\\Theta}"),
pa("\\varLambda", "\\mathit{\\Lambda}"),
pa("\\varXi", "\\mathit{\\Xi}"),
pa("\\varPi", "\\mathit{\\Pi}"),
pa("\\varSigma", "\\mathit{\\Sigma}"),
pa("\\varUpsilon", "\\mathit{\\Upsilon}"),
pa("\\varPhi", "\\mathit{\\Phi}"),
pa("\\varPsi", "\\mathit{\\Psi}"),
pa("\\varOmega", "\\mathit{\\Omega}"),
pa("\\substack", "\\begin{subarray}{c}#1\\end{subarray}"),
pa("\\colon", "\\nobreak\\mskip2mu\\mathpunct{}\\mathchoice{\\mkern-3mu}{\\mkern-3mu}{}{}{:}\\mskip6mu"),
pa("\\boxed", "\\fbox{$\\displaystyle{#1}$}"),
pa("\\iff", "\\DOTSB\\;\\Longleftrightarrow\\;"),
pa("\\implies", "\\DOTSB\\;\\Longrightarrow\\;"),
pa("\\impliedby", "\\DOTSB\\;\\Longleftarrow\\;");
var xa = {
",": "\\dotsc",
"\\not": "\\dotsb",
"+": "\\dotsb",
"=": "\\dotsb",
"<": "\\dotsb",
">": "\\dotsb",
"-": "\\dotsb",
"*": "\\dotsb",
":": "\\dotsb",
"\\DOTSB": "\\dotsb",
"\\coprod": "\\dotsb",
"\\bigvee": "\\dotsb",
"\\bigwedge": "\\dotsb",
"\\biguplus": "\\dotsb",
"\\bigcap": "\\dotsb",
"\\bigcup": "\\dotsb",
"\\prod": "\\dotsb",
"\\sum": "\\dotsb",
"\\bigotimes": "\\dotsb",
"\\bigoplus": "\\dotsb",
"\\bigodot": "\\dotsb",
"\\bigsqcup": "\\dotsb",
"\\And": "\\dotsb",
"\\longrightarrow": "\\dotsb",
"\\Longrightarrow": "\\dotsb",
"\\longleftarrow": "\\dotsb",
"\\Longleftarrow": "\\dotsb",
"\\longleftrightarrow": "\\dotsb",
"\\Longleftrightarrow": "\\dotsb",
"\\mapsto": "\\dotsb",
"\\longmapsto": "\\dotsb",
"\\hookrightarrow": "\\dotsb",
"\\doteq": "\\dotsb",
"\\mathbin": "\\dotsb",
"\\mathrel": "\\dotsb",
"\\relbar": "\\dotsb",
"\\Relbar": "\\dotsb",
"\\xrightarrow": "\\dotsb",
"\\xleftarrow": "\\dotsb",
"\\DOTSI": "\\dotsi",
"\\int": "\\dotsi",
"\\oint": "\\dotsi",
"\\iint": "\\dotsi",
"\\iiint": "\\dotsi",
"\\iiiint": "\\dotsi",
"\\idotsint": "\\dotsi",
"\\DOTSX": "\\dotsx",
};
pa("\\dots", function (t) {
var e = "\\dotso",
r = t.expandAfterFuture().text;
return r in xa ? (e = xa[r]) : "\\not" === r.substr(0, 4) ? (e = "\\dotsb") : r in j.math && c.contains(["bin", "rel"], j.math[r].group) && (e = "\\dotsb"), e;
});
var va = {
")": !0,
"]": !0,
"\\rbrack": !0,
"\\}": !0,
"\\rbrace": !0,
"\\rangle": !0,
"\\rceil": !0,
"\\rfloor": !0,
"\\rgroup": !0,
"\\rmoustache": !0,
"\\right": !0,
"\\bigr": !0,
"\\biggr": !0,
"\\Bigr": !0,
"\\Biggr": !0,
$: !0,
";": !0,
".": !0,
",": !0,
};
pa("\\dotso", function (t) {
return t.future().text in va ? "\\ldots\\," : "\\ldots";
}),
pa("\\dotsc", function (t) {
var e = t.future().text;
return e in va && "," !== e ? "\\ldots\\," : "\\ldots";
}),
pa("\\cdots", function (t) {
return t.future().text in va ? "\\@cdots\\," : "\\@cdots";
}),
pa("\\dotsb", "\\cdots"),
pa("\\dotsm", "\\cdots"),
pa("\\dotsi", "\\!\\cdots"),
pa("\\dotsx", "\\ldots\\,"),
pa("\\DOTSI", "\\relax"),
pa("\\DOTSB", "\\relax"),
pa("\\DOTSX", "\\relax"),
pa("\\tmspace", "\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"),
pa("\\,", "\\tmspace+{3mu}{.1667em}"),
pa("\\thinspace", "\\,"),
pa("\\>", "\\mskip{4mu}"),
pa("\\:", "\\tmspace+{4mu}{.2222em}"),
pa("\\medspace", "\\:"),
pa("\\;", "\\tmspace+{5mu}{.2777em}"),
pa("\\thickspace", "\\;"),
pa("\\!", "\\tmspace-{3mu}{.1667em}"),
pa("\\negthinspace", "\\!"),
pa("\\negmedspace", "\\tmspace-{4mu}{.2222em}"),
pa("\\negthickspace", "\\tmspace-{5mu}{.277em}"),
pa("\\enspace", "\\kern.5em "),
pa("\\enskip", "\\hskip.5em\\relax"),
pa("\\quad", "\\hskip1em\\relax"),
pa("\\qquad", "\\hskip2em\\relax"),
pa("\\tag", "\\@ifstar\\tag@literal\\tag@paren"),
pa("\\tag@paren", "\\tag@literal{({#1})}"),
pa("\\tag@literal", function (t) {
if (t.macros.get("\\df@tag")) throw new o("Multiple \\tag");
return "\\gdef\\df@tag{\\text{#1}}";
}),
pa("\\bmod", "\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"),
pa("\\pod", "\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"),
pa("\\pmod", "\\pod{{\\rm mod}\\mkern6mu#1}"),
pa("\\mod", "\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1"),
pa("\\pmb", "\\html@mathml{\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}{\\mathbf{#1}}"),
pa("\\\\", "\\newline"),
pa("\\TeX", "\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}");
var ba = F["Main-Regular"]["T".charCodeAt(0)][1] - 0.7 * F["Main-Regular"]["A".charCodeAt(0)][1] + "em";
pa("\\LaTeX", "\\textrm{\\html@mathml{L\\kern-.36em\\raisebox{" + ba + "}{\\scriptstyle A}\\kern-.15em\\TeX}{LaTeX}}"),
pa("\\KaTeX", "\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{" + ba + "}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}"),
pa("\\hspace", "\\@ifstar\\@hspacer\\@hspace"),
pa("\\@hspace", "\\hskip #1\\relax"),
pa("\\@hspacer", "\\rule{0pt}{0pt}\\hskip #1\\relax"),
pa("\\ordinarycolon", ":"),
pa("\\vcentcolon", "\\mathrel{\\mathop\\ordinarycolon}"),
pa("\\dblcolon", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}'),
pa("\\coloneqq", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}'),
pa("\\Coloneqq", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}'),
pa("\\coloneq", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}'),
pa("\\Coloneq", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}'),
pa("\\eqqcolon", '\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}'),
pa("\\Eqqcolon", '\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}'),
pa("\\eqcolon", '\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}'),
pa("\\Eqcolon", '\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}'),
pa("\\colonapprox", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}'),
pa("\\Colonapprox", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}'),
pa("\\colonsim", '\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}'),
pa("\\Colonsim", '\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}'),
pa("\u2237", "\\dblcolon"),
pa("\u2239", "\\eqcolon"),
pa("\u2254", "\\coloneqq"),
pa("\u2255", "\\eqqcolon"),
pa("\u2a74", "\\Coloneqq"),
pa("\\ratio", "\\vcentcolon"),
pa("\\coloncolon", "\\dblcolon"),
pa("\\colonequals", "\\coloneqq"),
pa("\\coloncolonequals", "\\Coloneqq"),
pa("\\equalscolon", "\\eqqcolon"),
pa("\\equalscoloncolon", "\\Eqqcolon"),
pa("\\colonminus", "\\coloneq"),
pa("\\coloncolonminus", "\\Coloneq"),
pa("\\minuscolon", "\\eqcolon"),
pa("\\minuscoloncolon", "\\Eqcolon"),
pa("\\coloncolonapprox", "\\Colonapprox"),
pa("\\coloncolonsim", "\\Colonsim"),
pa("\\simcolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),
pa("\\simcoloncolon", "\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"),
pa("\\approxcolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),
pa("\\approxcoloncolon", "\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"),
pa("\\notni", "\\html@mathml{\\not\\ni}{\\mathrel{\\char`\u220c}}"),
pa("\\limsup", "\\DOTSB\\operatorname*{lim\\,sup}"),
pa("\\liminf", "\\DOTSB\\operatorname*{lim\\,inf}"),
pa("\\gvertneqq", "\\html@mathml{\\@gvertneqq}{\u2269}"),
pa("\\lvertneqq", "\\html@mathml{\\@lvertneqq}{\u2268}"),
pa("\\ngeqq", "\\html@mathml{\\@ngeqq}{\u2271}"),
pa("\\ngeqslant", "\\html@mathml{\\@ngeqslant}{\u2271}"),
pa("\\nleqq", "\\html@mathml{\\@nleqq}{\u2270}"),
pa("\\nleqslant", "\\html@mathml{\\@nleqslant}{\u2270}"),
pa("\\nshortmid", "\\html@mathml{\\@nshortmid}{\u2224}"),
pa("\\nshortparallel", "\\html@mathml{\\@nshortparallel}{\u2226}"),
pa("\\nsubseteqq", "\\html@mathml{\\@nsubseteqq}{\u2288}"),
pa("\\nsupseteqq", "\\html@mathml{\\@nsupseteqq}{\u2289}"),
pa("\\varsubsetneq", "\\html@mathml{\\@varsubsetneq}{\u228a}"),
pa("\\varsubsetneqq", "\\html@mathml{\\@varsubsetneqq}{\u2acb}"),
pa("\\varsupsetneq", "\\html@mathml{\\@varsupsetneq}{\u228b}"),
pa("\\varsupsetneqq", "\\html@mathml{\\@varsupsetneqq}{\u2acc}"),
pa("\\llbracket", "\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`\u27e6}}"),
pa("\\rrbracket", "\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`\u27e7}}"),
pa("\u27e6", "\\llbracket"),
pa("\u27e7", "\\rrbracket"),
pa("\\lBrace", "\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`\u2983}}"),
pa("\\rBrace", "\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`\u2984}}"),
pa("\u2983", "\\lBrace"),
pa("\u2984", "\\rBrace"),
pa("\\darr", "\\downarrow"),
pa("\\dArr", "\\Downarrow"),
pa("\\Darr", "\\Downarrow"),
pa("\\lang", "\\langle"),
pa("\\rang", "\\rangle"),
pa("\\uarr", "\\uparrow"),
pa("\\uArr", "\\Uparrow"),
pa("\\Uarr", "\\Uparrow"),
pa("\\N", "\\mathbb{N}"),
pa("\\R", "\\mathbb{R}"),
pa("\\Z", "\\mathbb{Z}"),
pa("\\alef", "\\aleph"),
pa("\\alefsym", "\\aleph"),
pa("\\Alpha", "\\mathrm{A}"),
pa("\\Beta", "\\mathrm{B}"),
pa("\\bull", "\\bullet"),
pa("\\Chi", "\\mathrm{X}"),
pa("\\clubs", "\\clubsuit"),
pa("\\cnums", "\\mathbb{C}"),
pa("\\Complex", "\\mathbb{C}"),
pa("\\Dagger", "\\ddagger"),
pa("\\diamonds", "\\diamondsuit"),
pa("\\empty", "\\emptyset"),
pa("\\Epsilon", "\\mathrm{E}"),
pa("\\Eta", "\\mathrm{H}"),
pa("\\exist", "\\exists"),
pa("\\harr", "\\leftrightarrow"),
pa("\\hArr", "\\Leftrightarrow"),
pa("\\Harr", "\\Leftrightarrow"),
pa("\\hearts", "\\heartsuit"),
pa("\\image", "\\Im"),
pa("\\infin", "\\infty"),
pa("\\Iota", "\\mathrm{I}"),
pa("\\isin", "\\in"),
pa("\\Kappa", "\\mathrm{K}"),
pa("\\larr", "\\leftarrow"),
pa("\\lArr", "\\Leftarrow"),
pa("\\Larr", "\\Leftarrow"),
pa("\\lrarr", "\\leftrightarrow"),
pa("\\lrArr", "\\Leftrightarrow"),
pa("\\Lrarr", "\\Leftrightarrow"),
pa("\\Mu", "\\mathrm{M}"),
pa("\\natnums", "\\mathbb{N}"),
pa("\\Nu", "\\mathrm{N}"),
pa("\\Omicron", "\\mathrm{O}"),
pa("\\plusmn", "\\pm"),
pa("\\rarr", "\\rightarrow"),
pa("\\rArr", "\\Rightarrow"),
pa("\\Rarr", "\\Rightarrow"),
pa("\\real", "\\Re"),
pa("\\reals", "\\mathbb{R}"),
pa("\\Reals", "\\mathbb{R}"),
pa("\\Rho", "\\mathrm{P}"),
pa("\\sdot", "\\cdot"),
pa("\\sect", "\\S"),
pa("\\spades", "\\spadesuit"),
pa("\\sub", "\\subset"),
pa("\\sube", "\\subseteq"),
pa("\\supe", "\\supseteq"),
pa("\\Tau", "\\mathrm{T}"),
pa("\\thetasym", "\\vartheta"),
pa("\\weierp", "\\wp"),
pa("\\Zeta", "\\mathrm{Z}"),
pa("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}"),
pa("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}"),
pa("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),
pa("\\blue", "\\textcolor{##6495ed}{#1}"),
pa("\\orange", "\\textcolor{##ffa500}{#1}"),
pa("\\pink", "\\textcolor{##ff00af}{#1}"),
pa("\\red", "\\textcolor{##df0030}{#1}"),
pa("\\green", "\\textcolor{##28ae7b}{#1}"),
pa("\\gray", "\\textcolor{gray}{#1}"),
pa("\\purple", "\\textcolor{##9d38bd}{#1}"),
pa("\\blueA", "\\textcolor{##ccfaff}{#1}"),
pa("\\blueB", "\\textcolor{##80f6ff}{#1}"),
pa("\\blueC", "\\textcolor{##63d9ea}{#1}"),
pa("\\blueD", "\\textcolor{##11accd}{#1}"),
pa("\\blueE", "\\textcolor{##0c7f99}{#1}"),
pa("\\tealA", "\\textcolor{##94fff5}{#1}"),
pa("\\tealB", "\\textcolor{##26edd5}{#1}"),
pa("\\tealC", "\\textcolor{##01d1c1}{#1}"),
pa("\\tealD", "\\textcolor{##01a995}{#1}"),
pa("\\tealE", "\\textcolor{##208170}{#1}"),
pa("\\greenA", "\\textcolor{##b6ffb0}{#1}"),
pa("\\greenB", "\\textcolor{##8af281}{#1}"),
pa("\\greenC", "\\textcolor{##74cf70}{#1}"),
pa("\\greenD", "\\textcolor{##1fab54}{#1}"),
pa("\\greenE", "\\textcolor{##0d923f}{#1}"),
pa("\\goldA", "\\textcolor{##ffd0a9}{#1}"),
pa("\\goldB", "\\textcolor{##ffbb71}{#1}"),
pa("\\goldC", "\\textcolor{##ff9c39}{#1}"),
pa("\\goldD", "\\textcolor{##e07d10}{#1}"),
pa("\\goldE", "\\textcolor{##a75a05}{#1}"),
pa("\\redA", "\\textcolor{##fca9a9}{#1}"),
pa("\\redB", "\\textcolor{##ff8482}{#1}"),
pa("\\redC", "\\textcolor{##f9685d}{#1}"),
pa("\\redD", "\\textcolor{##e84d39}{#1}"),
pa("\\redE", "\\textcolor{##bc2612}{#1}"),
pa("\\maroonA", "\\textcolor{##ffbde0}{#1}"),
pa("\\maroonB", "\\textcolor{##ff92c6}{#1}"),
pa("\\maroonC", "\\textcolor{##ed5fa6}{#1}"),
pa("\\maroonD", "\\textcolor{##ca337c}{#1}"),
pa("\\maroonE", "\\textcolor{##9e034e}{#1}"),
pa("\\purpleA", "\\textcolor{##ddd7ff}{#1}"),
pa("\\purpleB", "\\textcolor{##c6b9fc}{#1}"),
pa("\\purpleC", "\\textcolor{##aa87ff}{#1}"),
pa("\\purpleD", "\\textcolor{##7854ab}{#1}"),
pa("\\purpleE", "\\textcolor{##543b78}{#1}"),
pa("\\mintA", "\\textcolor{##f5f9e8}{#1}"),
pa("\\mintB", "\\textcolor{##edf2df}{#1}"),
pa("\\mintC", "\\textcolor{##e0e5cc}{#1}"),
pa("\\grayA", "\\textcolor{##f6f7f7}{#1}"),
pa("\\grayB", "\\textcolor{##f0f1f2}{#1}"),
pa("\\grayC", "\\textcolor{##e3e5e6}{#1}"),
pa("\\grayD", "\\textcolor{##d6d8da}{#1}"),
pa("\\grayE", "\\textcolor{##babec2}{#1}"),
pa("\\grayF", "\\textcolor{##888d93}{#1}"),
pa("\\grayG", "\\textcolor{##626569}{#1}"),
pa("\\grayH", "\\textcolor{##3b3e40}{#1}"),
pa("\\grayI", "\\textcolor{##21242c}{#1}"),
pa("\\kaBlue", "\\textcolor{##314453}{#1}"),
pa("\\kaGreen", "\\textcolor{##71B307}{#1}");
var ya = { "\\relax": !0, "^": !0, _: !0, "\\limits": !0, "\\nolimits": !0 },
wa = (function () {
function t(t, e, r) {
(this.settings = void 0),
(this.expansionCount = void 0),
(this.lexer = void 0),
(this.macros = void 0),
(this.stack = void 0),
(this.mode = void 0),
(this.settings = e),
(this.expansionCount = 0),
this.feed(t),
(this.macros = new ma(ua, e.macros)),
(this.mode = r),
(this.stack = []);
}
var e = t.prototype;
return (
(e.feed = function (t) {
this.lexer = new la(t, this.settings);
}),
(e.switchMode = function (t) {
this.mode = t;
}),
(e.beginGroup = function () {
this.macros.beginGroup();
}),
(e.endGroup = function () {
this.macros.endGroup();
}),
(e.future = function () {
return 0 === this.stack.length && this.pushToken(this.lexer.lex()), this.stack[this.stack.length - 1];
}),
(e.popToken = function () {
return this.future(), this.stack.pop();
}),
(e.pushToken = function (t) {
this.stack.push(t);
}),
(e.pushTokens = function (t) {
var e;
(e = this.stack).push.apply(e, t);
}),
(e.consumeSpaces = function () {
for (;;) {
if (" " !== this.future().text) break;
this.stack.pop();
}
}),
(e.consumeArgs = function (t) {
for (var e = [], r = 0; r < t; ++r) {
this.consumeSpaces();
var a = this.popToken();
if ("{" === a.text) {
for (var n = [], i = 1; 0 !== i; ) {
var s = this.popToken();
if ((n.push(s), "{" === s.text)) ++i;
else if ("}" === s.text) --i;
else if ("EOF" === s.text) throw new o("End of input in macro argument", a);
}
n.pop(), n.reverse(), (e[r] = n);
} else {
if ("EOF" === a.text) throw new o("End of input expecting macro argument");
e[r] = [a];
}
}
return e;
}),
(e.expandOnce = function () {
var t = this.popToken(),
e = t.text,
r = this._getExpansion(e);
if (null == r) return this.pushToken(t), t;
if ((this.expansionCount++, this.expansionCount > this.settings.maxExpand)) throw new o("Too many expansions: infinite loop or need to increase maxExpand setting");
var a = r.tokens;
if (r.numArgs)
for (var n = this.consumeArgs(r.numArgs), i = (a = a.slice()).length - 1; i >= 0; --i) {
var s = a[i];
if ("#" === s.text) {
if (0 === i) throw new o("Incomplete placeholder at end of macro body", s);
if ("#" === (s = a[--i]).text) a.splice(i + 1, 1);
else {
if (!/^[1-9]$/.test(s.text)) throw new o("Not a valid argument number", s);
var h;
(h = a).splice.apply(h, [i, 2].concat(n[+s.text - 1]));
}
}
}
return this.pushTokens(a), a;
}),
(e.expandAfterFuture = function () {
return this.expandOnce(), this.future();
}),
(e.expandNextToken = function () {
for (;;) {
var t = this.expandOnce();
if (t instanceof n) {
if ("\\relax" !== t.text) return this.stack.pop();
this.stack.pop();
}
}
throw new Error();
}),
(e.expandMacro = function (t) {
if (this.macros.get(t)) {
var e = [],
r = this.stack.length;
for (this.pushToken(new n(t)); this.stack.length > r; ) {
this.expandOnce() instanceof n && e.push(this.stack.pop());
}
return e;
}
}),
(e.expandMacroAsText = function (t) {
var e = this.expandMacro(t);
return e
? e
.map(function (t) {
return t.text;
})
.join("")
: e;
}),
(e._getExpansion = function (t) {
var e = this.macros.get(t);
if (null == e) return e;
var r = "function" == typeof e ? e(this) : e;
if ("string" == typeof r) {
var a = 0;
if (-1 !== r.indexOf("#")) for (var n = r.replace(/##/g, ""); -1 !== n.indexOf("#" + (a + 1)); ) ++a;
for (var i = new la(r, this.settings), o = [], s = i.lex(); "EOF" !== s.text; ) o.push(s), (s = i.lex());
return o.reverse(), { tokens: o, numArgs: a };
}
return r;
}),
(e.isDefined = function (t) {
return this.macros.has(t) || ia.hasOwnProperty(t) || j.math.hasOwnProperty(t) || j.text.hasOwnProperty(t) || ya.hasOwnProperty(t);
}),
t
);
})(),
ka = {
"\u0301": { text: "\\'", math: "\\acute" },
"\u0300": { text: "\\`", math: "\\grave" },
"\u0308": { text: '\\"', math: "\\ddot" },
"\u0303": { text: "\\~", math: "\\tilde" },
"\u0304": { text: "\\=", math: "\\bar" },
"\u0306": { text: "\\u", math: "\\breve" },
"\u030c": { text: "\\v", math: "\\check" },
"\u0302": { text: "\\^", math: "\\hat" },
"\u0307": { text: "\\.", math: "\\dot" },
"\u030a": { text: "\\r", math: "\\mathring" },
"\u030b": { text: "\\H" },
},
Sa = {
á: "a\u0301",
à: "a\u0300",
ä: "a\u0308",
ǟ: "a\u0308\u0304",
ã: "a\u0303",
ā: "a\u0304",
ă: "a\u0306",
ắ: "a\u0306\u0301",
ằ: "a\u0306\u0300",
ẵ: "a\u0306\u0303",
ǎ: "a\u030c",
â: "a\u0302",
ấ: "a\u0302\u0301",
ầ: "a\u0302\u0300",
ẫ: "a\u0302\u0303",
ȧ: "a\u0307",
ǡ: "a\u0307\u0304",
å: "a\u030a",
ǻ: "a\u030a\u0301",
ḃ: "b\u0307",
ć: "c\u0301",
č: "c\u030c",
ĉ: "c\u0302",
ċ: "c\u0307",
ď: "d\u030c",
ḋ: "d\u0307",
é: "e\u0301",
è: "e\u0300",
ë: "e\u0308",
ẽ: "e\u0303",
ē: "e\u0304",
ḗ: "e\u0304\u0301",
ḕ: "e\u0304\u0300",
ĕ: "e\u0306",
ě: "e\u030c",
ê: "e\u0302",
ế: "e\u0302\u0301",
ề: "e\u0302\u0300",
ễ: "e\u0302\u0303",
ė: "e\u0307",
ḟ: "f\u0307",
ǵ: "g\u0301",
ḡ: "g\u0304",
ğ: "g\u0306",
ǧ: "g\u030c",
ĝ: "g\u0302",
ġ: "g\u0307",
ḧ: "h\u0308",
ȟ: "h\u030c",
ĥ: "h\u0302",
ḣ: "h\u0307",
í: "i\u0301",
ì: "i\u0300",
ï: "i\u0308",
ḯ: "i\u0308\u0301",
ĩ: "i\u0303",
ī: "i\u0304",
ĭ: "i\u0306",
ǐ: "i\u030c",
î: "i\u0302",
ǰ: "j\u030c",
ĵ: "j\u0302",
ḱ: "k\u0301",
ǩ: "k\u030c",
ĺ: "l\u0301",
ľ: "l\u030c",
ḿ: "m\u0301",
ṁ: "m\u0307",
ń: "n\u0301",
ǹ: "n\u0300",
ñ: "n\u0303",
ň: "n\u030c",
ṅ: "n\u0307",
ó: "o\u0301",
ò: "o\u0300",
ö: "o\u0308",
ȫ: "o\u0308\u0304",
õ: "o\u0303",
ṍ: "o\u0303\u0301",
ṏ: "o\u0303\u0308",
ȭ: "o\u0303\u0304",
ō: "o\u0304",
ṓ: "o\u0304\u0301",
ṑ: "o\u0304\u0300",
ŏ: "o\u0306",
ǒ: "o\u030c",
ô: "o\u0302",
ố: "o\u0302\u0301",
ồ: "o\u0302\u0300",
ỗ: "o\u0302\u0303",
ȯ: "o\u0307",
ȱ: "o\u0307\u0304",
ő: "o\u030b",
ṕ: "p\u0301",
ṗ: "p\u0307",
ŕ: "r\u0301",
ř: "r\u030c",
ṙ: "r\u0307",
ś: "s\u0301",
ṥ: "s\u0301\u0307",
š: "s\u030c",
ṧ: "s\u030c\u0307",
ŝ: "s\u0302",
ṡ: "s\u0307",
ẗ: "t\u0308",
ť: "t\u030c",
ṫ: "t\u0307",
ú: "u\u0301",
ù: "u\u0300",
ü: "u\u0308",
ǘ: "u\u0308\u0301",
ǜ: "u\u0308\u0300",
ǖ: "u\u0308\u0304",
ǚ: "u\u0308\u030c",
ũ: "u\u0303",
ṹ: "u\u0303\u0301",
ū: "u\u0304",
ṻ: "u\u0304\u0308",
ŭ: "u\u0306",
ǔ: "u\u030c",
û: "u\u0302",
ů: "u\u030a",
ű: "u\u030b",
ṽ: "v\u0303",
ẃ: "w\u0301",
ẁ: "w\u0300",
ẅ: "w\u0308",
ŵ: "w\u0302",
ẇ: "w\u0307",
ẘ: "w\u030a",
ẍ: "x\u0308",
ẋ: "x\u0307",
ý: "y\u0301",
ỳ: "y\u0300",
ÿ: "y\u0308",
ỹ: "y\u0303",
ȳ: "y\u0304",
ŷ: "y\u0302",
ẏ: "y\u0307",
ẙ: "y\u030a",
ź: "z\u0301",
ž: "z\u030c",
ẑ: "z\u0302",
ż: "z\u0307",
Á: "A\u0301",
À: "A\u0300",
Ä: "A\u0308",
Ǟ: "A\u0308\u0304",
Ã: "A\u0303",
Ā: "A\u0304",
Ă: "A\u0306",
Ắ: "A\u0306\u0301",
Ằ: "A\u0306\u0300",
Ẵ: "A\u0306\u0303",
Ǎ: "A\u030c",
Â: "A\u0302",
Ấ: "A\u0302\u0301",
Ầ: "A\u0302\u0300",
Ẫ: "A\u0302\u0303",
Ȧ: "A\u0307",
Ǡ: "A\u0307\u0304",
Å: "A\u030a",
Ǻ: "A\u030a\u0301",
Ḃ: "B\u0307",
Ć: "C\u0301",
Č: "C\u030c",
Ĉ: "C\u0302",
Ċ: "C\u0307",
Ď: "D\u030c",
Ḋ: "D\u0307",
É: "E\u0301",
È: "E\u0300",
Ë: "E\u0308",
Ẽ: "E\u0303",
Ē: "E\u0304",
Ḗ: "E\u0304\u0301",
Ḕ: "E\u0304\u0300",
Ĕ: "E\u0306",
Ě: "E\u030c",
Ê: "E\u0302",
Ế: "E\u0302\u0301",
Ề: "E\u0302\u0300",
Ễ: "E\u0302\u0303",
Ė: "E\u0307",
Ḟ: "F\u0307",
Ǵ: "G\u0301",
Ḡ: "G\u0304",
Ğ: "G\u0306",
Ǧ: "G\u030c",
Ĝ: "G\u0302",
Ġ: "G\u0307",
Ḧ: "H\u0308",
Ȟ: "H\u030c",
Ĥ: "H\u0302",
Ḣ: "H\u0307",
Í: "I\u0301",
Ì: "I\u0300",
Ï: "I\u0308",
Ḯ: "I\u0308\u0301",
Ĩ: "I\u0303",
Ī: "I\u0304",
Ĭ: "I\u0306",
Ǐ: "I\u030c",
Î: "I\u0302",
İ: "I\u0307",
Ĵ: "J\u0302",
Ḱ: "K\u0301",
Ǩ: "K\u030c",
Ĺ: "L\u0301",
Ľ: "L\u030c",
Ḿ: "M\u0301",
Ṁ: "M\u0307",
Ń: "N\u0301",
Ǹ: "N\u0300",
Ñ: "N\u0303",
Ň: "N\u030c",
Ṅ: "N\u0307",
Ó: "O\u0301",
Ò: "O\u0300",
Ö: "O\u0308",
Ȫ: "O\u0308\u0304",
Õ: "O\u0303",
Ṍ: "O\u0303\u0301",
Ṏ: "O\u0303\u0308",
Ȭ: "O\u0303\u0304",
Ō: "O\u0304",
Ṓ: "O\u0304\u0301",
Ṑ: "O\u0304\u0300",
Ŏ: "O\u0306",
Ǒ: "O\u030c",
Ô: "O\u0302",
Ố: "O\u0302\u0301",
Ồ: "O\u0302\u0300",
Ỗ: "O\u0302\u0303",
Ȯ: "O\u0307",
Ȱ: "O\u0307\u0304",
Ő: "O\u030b",
Ṕ: "P\u0301",
Ṗ: "P\u0307",
Ŕ: "R\u0301",
Ř: "R\u030c",
Ṙ: "R\u0307",
Ś: "S\u0301",
Ṥ: "S\u0301\u0307",
Š: "S\u030c",
Ṧ: "S\u030c\u0307",
Ŝ: "S\u0302",
Ṡ: "S\u0307",
Ť: "T\u030c",
Ṫ: "T\u0307",
Ú: "U\u0301",
Ù: "U\u0300",
Ü: "U\u0308",
Ǘ: "U\u0308\u0301",
Ǜ: "U\u0308\u0300",
Ǖ: "U\u0308\u0304",
Ǚ: "U\u0308\u030c",
Ũ: "U\u0303",
Ṹ: "U\u0303\u0301",
Ū: "U\u0304",
Ṻ: "U\u0304\u0308",
Ŭ: "U\u0306",
Ǔ: "U\u030c",
Û: "U\u0302",
Ů: "U\u030a",
Ű: "U\u030b",
Ṽ: "V\u0303",
Ẃ: "W\u0301",
Ẁ: "W\u0300",
Ẅ: "W\u0308",
Ŵ: "W\u0302",
Ẇ: "W\u0307",
Ẍ: "X\u0308",
Ẋ: "X\u0307",
Ý: "Y\u0301",
Ỳ: "Y\u0300",
Ÿ: "Y\u0308",
Ỹ: "Y\u0303",
Ȳ: "Y\u0304",
Ŷ: "Y\u0302",
Ẏ: "Y\u0307",
Ź: "Z\u0301",
Ž: "Z\u030c",
Ẑ: "Z\u0302",
Ż: "Z\u0307",
ά: "\u03b1\u0301",
ὰ: "\u03b1\u0300",
ᾱ: "\u03b1\u0304",
ᾰ: "\u03b1\u0306",
έ: "\u03b5\u0301",
ὲ: "\u03b5\u0300",
ή: "\u03b7\u0301",
ὴ: "\u03b7\u0300",
ί: "\u03b9\u0301",
ὶ: "\u03b9\u0300",
ϊ: "\u03b9\u0308",
ΐ: "\u03b9\u0308\u0301",
ῒ: "\u03b9\u0308\u0300",
ῑ: "\u03b9\u0304",
ῐ: "\u03b9\u0306",
ό: "\u03bf\u0301",
ὸ: "\u03bf\u0300",
ύ: "\u03c5\u0301",
ὺ: "\u03c5\u0300",
ϋ: "\u03c5\u0308",
ΰ: "\u03c5\u0308\u0301",
ῢ: "\u03c5\u0308\u0300",
ῡ: "\u03c5\u0304",
ῠ: "\u03c5\u0306",
ώ: "\u03c9\u0301",
ὼ: "\u03c9\u0300",
Ύ: "\u03a5\u0301",
Ὺ: "\u03a5\u0300",
Ϋ: "\u03a5\u0308",
Ῡ: "\u03a5\u0304",
Ῠ: "\u03a5\u0306",
Ώ: "\u03a9\u0301",
Ὼ: "\u03a9\u0300",
},
Ma = (function () {
function t(t, e) {
(this.mode = void 0),
(this.gullet = void 0),
(this.settings = void 0),
(this.leftrightDepth = void 0),
(this.nextToken = void 0),
(this.mode = "math"),
(this.gullet = new wa(t, e, this.mode)),
(this.settings = e),
(this.leftrightDepth = 0);
}
var e = t.prototype;
return (
(e.expect = function (t, e) {
if ((void 0 === e && (e = !0), this.fetch().text !== t)) throw new o("Expected '" + t + "', got '" + this.fetch().text + "'", this.fetch());
e && this.consume();
}),
(e.consume = function () {
this.nextToken = null;
}),
(e.fetch = function () {
return null == this.nextToken && (this.nextToken = this.gullet.expandNextToken()), this.nextToken;
}),
(e.switchMode = function (t) {
(this.mode = t), this.gullet.switchMode(t);
}),
(e.parse = function () {
this.gullet.beginGroup(), this.settings.colorIsTextColor && this.gullet.macros.set("\\color", "\\textcolor");
var t = this.parseExpression(!1);
return this.expect("EOF"), this.gullet.endGroup(), t;
}),
(e.parseExpression = function (e, r) {
for (var a = []; ; ) {
"math" === this.mode && this.consumeSpaces();
var n = this.fetch();
if (-1 !== t.endOfExpression.indexOf(n.text)) break;
if (r && n.text === r) break;
if (e && ia[n.text] && ia[n.text].infix) break;
var i = this.parseAtom(r);
if (!i) break;
a.push(i);
}
return "text" === this.mode && this.formLigatures(a), this.handleInfixNodes(a);
}),
(e.handleInfixNodes = function (t) {
for (var e, r = -1, a = 0; a < t.length; a++) {
var n = Vt(t[a], "infix");
if (n) {
if (-1 !== r) throw new o("only one infix operator per group", n.token);
(r = a), (e = n.replaceWith);
}
}
if (-1 !== r && e) {
var i,
s,
h = t.slice(0, r),
l = t.slice(r + 1);
return (
(i = 1 === h.length && "ordgroup" === h[0].type ? h[0] : { type: "ordgroup", mode: this.mode, body: h }),
(s = 1 === l.length && "ordgroup" === l[0].type ? l[0] : { type: "ordgroup", mode: this.mode, body: l }),
["\\\\abovefrac" === e ? this.callFunction(e, [i, t[r], s], []) : this.callFunction(e, [i, s], [])]
);
}
return t;
}),
(e.handleSupSubscript = function (e) {
var r = this.fetch(),
a = r.text;
this.consume();
var n = this.parseGroup(e, !1, t.SUPSUB_GREEDINESS, void 0, void 0, !0);
if (!n) throw new o("Expected group after '" + a + "'", r);
return n;
}),
(e.formatUnsupportedCmd = function (t) {
for (var e = [], r = 0; r < t.length; r++) e.push({ type: "textord", mode: "text", text: t[r] });
var a = { type: "text", mode: this.mode, body: e };
return { type: "color", mode: this.mode, color: this.settings.errorColor, body: [a] };
}),
(e.parseAtom = function (t) {
var e,
r,
a = this.parseGroup("atom", !1, null, t);
if ("text" === this.mode) return a;
for (;;) {
this.consumeSpaces();
var n = this.fetch();
if ("\\limits" === n.text || "\\nolimits" === n.text) {
var i = Vt(a, "op");
if (i) {
var s = "\\limits" === n.text;
(i.limits = s), (i.alwaysHandleSupSub = !0);
} else {
if (!(i = Vt(a, "operatorname")) || !i.alwaysHandleSupSub) throw new o("Limit controls must follow a math operator", n);
var h = "\\limits" === n.text;
i.limits = h;
}
this.consume();
} else if ("^" === n.text) {
if (e) throw new o("Double superscript", n);
e = this.handleSupSubscript("superscript");
} else if ("_" === n.text) {
if (r) throw new o("Double subscript", n);
r = this.handleSupSubscript("subscript");
} else {
if ("'" !== n.text) break;
if (e) throw new o("Double superscript", n);
var l = { type: "textord", mode: this.mode, text: "\\prime" },
m = [l];
for (this.consume(); "'" === this.fetch().text; ) m.push(l), this.consume();
"^" === this.fetch().text && m.push(this.handleSupSubscript("superscript")), (e = { type: "ordgroup", mode: this.mode, body: m });
}
}
return e || r ? { type: "supsub", mode: this.mode, base: a, sup: e, sub: r } : a;
}),
(e.parseFunction = function (t, e, r) {
var a = this.fetch(),
n = a.text,
i = ia[n];
if (!i) return null;
if ((this.consume(), null != r && i.greediness <= r)) throw new o("Got function '" + n + "' with no arguments" + (e ? " as " + e : ""), a);
if ("text" === this.mode && !i.allowedInText) throw new o("Can't use function '" + n + "' in text mode", a);
if ("math" === this.mode && !1 === i.allowedInMath) throw new o("Can't use function '" + n + "' in math mode", a);
var s = this.parseArguments(n, i),
h = s.args,
l = s.optArgs;
return this.callFunction(n, h, l, a, t);
}),
(e.callFunction = function (t, e, r, a, n) {
var i = { funcName: t, parser: this, token: a, breakOnTokenText: n },
s = ia[t];
if (s && s.handler) return s.handler(i, e, r);
throw new o("No function handler for " + t);
}),
(e.parseArguments = function (t, e) {
var r = e.numArgs + e.numOptionalArgs;
if (0 === r) return { args: [], optArgs: [] };
for (var a = e.greediness, n = [], i = [], s = 0; s < r; s++) {
var h = e.argTypes && e.argTypes[s],
l = s < e.numOptionalArgs,
m = (s > 0 && !l) || (0 === s && !l && "math" === this.mode),
c = this.parseGroupOfType("argument to '" + t + "'", h, l, a, m);
if (!c) {
if (l) {
i.push(null);
continue;
}
throw new o("Expected group after '" + t + "'", this.fetch());
}
(l ? i : n).push(c);
}
return { args: n, optArgs: i };
}),
(e.parseGroupOfType = function (t, e, r, a, n) {
switch (e) {
case "color":
return n && this.consumeSpaces(), this.parseColorGroup(r);
case "size":
return n && this.consumeSpaces(), this.parseSizeGroup(r);
case "url":
return this.parseUrlGroup(r, n);
case "math":
case "text":
return this.parseGroup(t, r, a, void 0, e, n);
case "hbox":
var i = this.parseGroup(t, r, a, void 0, "text", n);
return i ? { type: "styling", mode: i.mode, body: [i], style: "text" } : i;
case "raw":
if ((n && this.consumeSpaces(), r && "{" === this.fetch().text)) return null;
var s = this.parseStringGroup("raw", r, !0);
if (s) return { type: "raw", mode: "text", string: s.text };
throw new o("Expected raw group", this.fetch());
case "original":
case null:
case void 0:
return this.parseGroup(t, r, a, void 0, void 0, n);
default:
throw new o("Unknown group type as " + t, this.fetch());
}
}),
(e.consumeSpaces = function () {
for (; " " === this.fetch().text; ) this.consume();
}),
(e.parseStringGroup = function (t, e, r) {
var a = e ? "[" : "{",
n = e ? "]" : "}",
i = this.fetch();
if (i.text !== a) {
if (e) return null;
if (r && "EOF" !== i.text && /[^{}[\]]/.test(i.text)) return this.consume(), i;
}
var s = this.mode;
(this.mode = "text"), this.expect(a);
for (var h, l = "", m = this.fetch(), c = 0, u = m; (h = this.fetch()).text !== n || (r && c > 0); ) {
switch (h.text) {
case "EOF":
throw new o("Unexpected end of input in " + t, m.range(u, l));
case a:
c++;
break;
case n:
c--;
}
(l += (u = h).text), this.consume();
}
return this.expect(n), (this.mode = s), m.range(u, l);
}),
(e.parseRegexGroup = function (t, e) {
var r = this.mode;
this.mode = "text";
for (var a, n = this.fetch(), i = n, s = ""; "EOF" !== (a = this.fetch()).text && t.test(s + a.text); ) (s += (i = a).text), this.consume();
if ("" === s) throw new o("Invalid " + e + ": '" + n.text + "'", n);
return (this.mode = r), n.range(i, s);
}),
(e.parseColorGroup = function (t) {
var e = this.parseStringGroup("color", t);
if (!e) return null;
var r = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(e.text);
if (!r) throw new o("Invalid color: '" + e.text + "'", e);
var a = r[0];
return /^[0-9a-f]{6}$/i.test(a) && (a = "#" + a), { type: "color-token", mode: this.mode, color: a };
}),
(e.parseSizeGroup = function (t) {
var e,
r = !1;
if (!(e = t || "{" === this.fetch().text ? this.parseStringGroup("size", t) : this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size"))) return null;
t || 0 !== e.text.length || ((e.text = "0pt"), (r = !0));
var a = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(e.text);
if (!a) throw new o("Invalid size: '" + e.text + "'", e);
var n = { number: +(a[1] + a[2]), unit: a[3] };
if (!At(n)) throw new o("Invalid unit: '" + n.unit + "'", e);
return { type: "size", mode: this.mode, value: n, isBlank: r };
}),
(e.parseUrlGroup = function (t, e) {
this.gullet.lexer.setCatcode("%", 13);
var r = this.parseStringGroup("url", t, !0);
if ((this.gullet.lexer.setCatcode("%", 14), !r)) return null;
var a = r.text.replace(/\\([#$%&~_^{}])/g, "$1");
return { type: "url", mode: this.mode, url: a };
}),
(e.parseGroup = function (e, r, n, i, s, h) {
var l = this.mode;
s && this.switchMode(s), h && this.consumeSpaces();
var m,
c = this.fetch(),
u = c.text;
if (r ? "[" === u : "{" === u || "\\begingroup" === u) {
this.consume();
var p = t.endOfGroup[u];
this.gullet.beginGroup();
var d = this.parseExpression(!1, p),
f = this.fetch();
this.expect(p), this.gullet.endGroup(), (m = { type: "ordgroup", mode: this.mode, loc: a.range(c, f), body: d, semisimple: "\\begingroup" === u || void 0 });
} else if (r) m = null;
else if (null == (m = this.parseFunction(i, e, n) || this.parseSymbol()) && "\\" === u[0] && !ya.hasOwnProperty(u)) {
if (this.settings.throwOnError) throw new o("Undefined control sequence: " + u, c);
(m = this.formatUnsupportedCmd(u)), this.consume();
}
return s && this.switchMode(l), m;
}),
(e.formLigatures = function (t) {
for (var e = t.length - 1, r = 0; r < e; ++r) {
var n = t[r],
i = n.text;
"-" === i &&
"-" === t[r + 1].text &&
(r + 1 < e && "-" === t[r + 2].text
? (t.splice(r, 3, { type: "textord", mode: "text", loc: a.range(n, t[r + 2]), text: "---" }), (e -= 2))
: (t.splice(r, 2, { type: "textord", mode: "text", loc: a.range(n, t[r + 1]), text: "--" }), (e -= 1))),
("'" !== i && "`" !== i) || t[r + 1].text !== i || (t.splice(r, 2, { type: "textord", mode: "text", loc: a.range(n, t[r + 1]), text: i + i }), (e -= 1));
}
}),
(e.parseSymbol = function () {
var t = this.fetch(),
e = t.text;
if (/^\\verb[^a-zA-Z]/.test(e)) {
this.consume();
var r = e.slice(5),
n = "*" === r.charAt(0);
if ((n && (r = r.slice(1)), r.length < 2 || r.charAt(0) !== r.slice(-1))) throw new o("\\verb assertion failed --\n please report what input caused this bug");
return { type: "verb", mode: "text", body: (r = r.slice(1, -1)), star: n };
}
Sa.hasOwnProperty(e[0]) &&
!j[this.mode][e[0]] &&
(this.settings.strict && "math" === this.mode && this.settings.reportNonstrict("unicodeTextInMathMode", 'Accented Unicode text character "' + e[0] + '" used in math mode', t), (e = Sa[e[0]] + e.substr(1)));
var i,
s = sa.exec(e);
if ((s && ("i" === (e = e.substring(0, s.index)) ? (e = "\u0131") : "j" === e && (e = "\u0237")), j[this.mode][e])) {
this.settings.strict &&
"math" === this.mode &&
"\xc7\xd0\xde\xe7\xfe".indexOf(e) >= 0 &&
this.settings.reportNonstrict("unicodeTextInMathMode", 'Latin-1/Unicode text character "' + e[0] + '" used in math mode', t);
var h,
l = j[this.mode][e].group,
m = a.range(t);
if (W.hasOwnProperty(l)) {
var c = l;
h = { type: "atom", mode: this.mode, family: c, loc: m, text: e };
} else h = { type: l, mode: this.mode, loc: m, text: e };
i = h;
} else {
if (!(e.charCodeAt(0) >= 128)) return null;
this.settings.strict &&
(M(e.charCodeAt(0))
? "math" === this.mode && this.settings.reportNonstrict("unicodeTextInMathMode", 'Unicode text character "' + e[0] + '" used in math mode', t)
: this.settings.reportNonstrict("unknownSymbol", 'Unrecognized Unicode character "' + e[0] + '" (' + e.charCodeAt(0) + ")", t)),
(i = { type: "textord", mode: "text", loc: a.range(t), text: e });
}
if ((this.consume(), s))
for (var u = 0; u < s[0].length; u++) {
var p = s[0][u];
if (!ka[p]) throw new o("Unknown accent ' " + p + "'", t);
var d = ka[p][this.mode];
if (!d) throw new o("Accent " + p + " unsupported in " + this.mode + " mode", t);
i = { type: "accent", mode: this.mode, loc: a.range(t), label: d, isStretchy: !1, isShifty: !0, base: i };
}
return i;
}),
t
);
})();
(Ma.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"]), (Ma.endOfGroup = { "[": "]", "{": "}", "\\begingroup": "\\endgroup" }), (Ma.SUPSUB_GREEDINESS = 1);
var za = function (t, e) {
if (!("string" == typeof t || t instanceof String)) throw new TypeError("KaTeX can only parse string typed expression");
var r = new Ma(t, e);
delete r.gullet.macros.current["\\df@tag"];
var a = r.parse();
if (r.gullet.macros.get("\\df@tag")) {
if (!e.displayMode) throw new o("\\tag works only in display equations");
r.gullet.feed("\\df@tag"), (a = [{ type: "tag", mode: "text", body: a, tag: r.parse() }]);
}
return a;
},
Aa = function (t, e, r) {
e.textContent = "";
var a = Ba(t, r).toNode();
e.appendChild(a);
};
"undefined" != typeof document &&
"CSS1Compat" !== document.compatMode &&
("undefined" != typeof console && console.warn("Warning: KaTeX doesn't work in quirks mode. Make sure your website has a suitable doctype."),
(Aa = function () {
throw new o("KaTeX doesn't work in quirks mode.");
}));
var Ta = function (t, e, r) {
if (r.throwOnError || !(t instanceof o)) throw t;
var a = Dt.makeSpan(["katex-error"], [new E(e)]);
return a.setAttribute("title", t.toString()), a.setAttribute("style", "color:" + r.errorColor), a;
},
Ba = function (t, e) {
var r = new u(e);
try {
var a = za(t, r);
return Be(a, t, r);
} catch (e) {
return Ta(e, t, r);
}
},
Ca = {
version: "0.11.1",
render: Aa,
renderToString: function (t, e) {
return Ba(t, e).toMarkup();
},
ParseError: o,
__parse: function (t, e) {
var r = new u(e);
return za(t, r);
},
__renderToDomTree: Ba,
__renderToHTMLTree: function (t, e) {
var r = new u(e);
try {
return (function (t, e, r) {
var a = de(t, Ae(r)),
n = Dt.makeSpan(["katex"], [a]);
return Te(n, r);
})(za(t, r), 0, r);
} catch (e) {
return Ta(e, t, r);
}
},
__setFontMetrics: function (t, e) {
F[t] = e;
},
__defineSymbol: $,
__defineMacro: pa,
__domTree: { Span: N, Anchor: I, SymbolNode: E, SvgNode: L, PathNode: H, LineNode: P },
};
e.default = Ca;
},
]).default;
});