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"Italic" : "Regular", o + "-" + n }, De = { mathbf: {variant: "bold", fontName: "Main-Bold"}, mathrm: {variant: "normal", fontName: "Main-Regular"}, textit: {variant: "italic", fontName: "Main-Italic"}, mathit: {variant: "italic", fontName: "Main-Italic"}, mathnormal: {variant: "italic", fontName: "Math-Italic"}, mathsfit: {variant: "sans-serif-italic", fontName: "SansSerif-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"} }, Ve = { vec: ["vec", .471, .714], oiintSize1: ["oiintSize1", .957, .499], oiintSize2: ["oiintSize2", 1.472, .659], oiiintSize1: ["oiiintSize1", 1.304, .499], oiiintSize2: ["oiiintSize2", 1.98, .659] }; var Pe = { fontMap: De, makeSymbol: qe, mathsym: function (e, t, r, n) { return void 0 === n && (n = []), "boldsymbol" === r.font && Ne(e, "Main-Bold", t).metrics ? qe(e, "Main-Bold", t, r, n.concat(["mathbf"])) : "\\" === e || "main" === se[t][e].font ? qe(e, "Main-Regular", t, r, n) : qe(e, "AMS-Regular", t, r, n.concat(["amsrm"])) }, makeSpan: He, makeSvgSpan: Oe, makeLineSpan: function (e, t, r) { const n = He([e], [], t); return n.height = Math.max(r || t.fontMetrics().defaultRuleThickness, t.minRuleThickness), n.style.borderBottomWidth = F(n.height), n.maxFontSize = 1, n }, makeAnchor: function (e, t, r, n) { const o = new j(e, t, r, n); return Re(o), o }, makeFragment: Ee, wrapFragment: function (e, t) { return e instanceof A ? 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Xe[r][n] : Ye[r][n] : null; if (o) return Pe.makeGlue(o, s) }), {node: i}, a, h), o }, st = function (e, t, r, n, o) { n && e.push(n); let s = 0; for (; s < e.length; s++) { const n = e[s], i = it(n); if (i) { st(i.children, t, r, null, o); continue } const a = !n.hasClass("mspace"); if (a) { const o = t(n, r.node); o && (r.insertAfter ? r.insertAfter(o) : (e.unshift(o), s++)) } a ? r.node = n : o && n.hasClass("newline") && (r.node = Qe(["leftmost"])), r.insertAfter = (t => r => { e.splice(t + 1, 0, r), s++ })(s) } n && e.pop() }, it = function (e) { return e instanceof A || e instanceof j || e instanceof _ && e.hasClass("enclosing") ? e : null }, at = function (e, t) { const r = it(e); if (r) { const e = r.children; if (e.length) { if ("right" === t) return at(e[e.length - 1], "right"); if ("left" === t) return at(e[0], "left") } } return e }, lt = function (e, t) { return e ? (t && (e = at(e, t)), nt[e.classes[0]] || null) : null }, ht = function (e, t) { const r = ["nulldelimiter"].concat(e.baseSizingClasses()); return Qe(t.concat(r)) }, ct = function (e, t, r) { if (!e) return Qe(); if (_e[e.type]) { let n = _e[e.type](e, t); if (r && t.size !== r.size) { n = Qe(t.sizingClasses(r), [n], t); const e = t.sizeMultiplier / r.sizeMultiplier; n.height *= e, n.depth *= e } return n } throw new n("Got group of unknown type: '" + e.type + "'") }; function mt(e, t) { const r = Qe(["base"], e, t), n = Qe(["strut"]); return n.style.height = F(r.height + r.depth), r.depth && (n.style.verticalAlign = F(-r.depth)), r.children.unshift(n), r } function pt(e, t) { let r = null; 1 === e.length && "tag" === e[0].type && (r = e[0].tag, e = e[0].body); const n = ot(e, t, "root"); let o; 2 === n.length && n[1].hasClass("tag") && (o = n.pop()); const s = []; let i, a = []; for (let e = 0; e < n.length; e++) if (a.push(n[e]), n[e].hasClass("mbin") || n[e].hasClass("mrel") || n[e].hasClass("allowbreak")) { let r = !1; for (; e < n.length - 1 && n[e + 1].hasClass("mspace") && !n[e + 1].hasClass("newline");) e++, a.push(n[e]), n[e].hasClass("nobreak") && (r = !0); r || (s.push(mt(a, t)), a = []) } else n[e].hasClass("newline") && (a.pop(), a.length > 0 && (s.push(mt(a, t)), a = []), s.push(n[e])); a.length > 0 && s.push(mt(a, t)), r ? (i = mt(ot(r, t, !0)), i.classes = ["tag"], s.push(i)) : o && s.push(o); const l = Qe(["katex-html"], s); if (l.setAttribute("aria-hidden", "true"), i) { const e = i.children[0]; e.style.height = F(l.height + l.depth), l.depth && (e.style.verticalAlign = F(-l.depth)) } return l } function ut(e) { return new A(e) } class dt { constructor(e, t, r) { this.type = void 0, this.attributes = void 0, this.children = void 0, this.classes = void 0, this.type = e, this.attributes = {}, this.children = t || [], this.classes = r || [] } setAttribute(e, t) { this.attributes[e] = t } getAttribute(e) { return this.attributes[e] } toNode() { const e = document.createElementNS("http://www.w3.org/1998/Math/MathML", this.type); for (const t in this.attributes) Object.prototype.hasOwnProperty.call(this.attributes, t) && e.setAttribute(t, this.attributes[t]); this.classes.length > 0 && (e.className = G(this.classes)); for (let t = 0; t < this.children.length; t++) if (this.children[t] instanceof gt && this.children[t + 1] instanceof gt) { let r = this.children[t].toText() + this.children[++t].toText(); for (; this.children[t + 1] instanceof gt;) r += this.children[++t].toText(); e.appendChild(new gt(r).toNode()) } else e.appendChild(this.children[t].toNode()); return e } toMarkup() { let e = "<" + this.type; for (const t in this.attributes) Object.prototype.hasOwnProperty.call(this.attributes, t) && (e += " " + t + '="', e += l.escape(this.attributes[t]), e += '"'); this.classes.length > 0 && (e += ' class ="' + l.escape(G(this.classes)) + '"'), e += ">"; for (let t = 0; t < this.children.length; t++) e += this.children[t].toMarkup(); return e += "", e } toText() { return this.children.map((e => e.toText())).join("") } } class gt { constructor(e) { this.text = void 0, this.text = e } toNode() { return document.createTextNode(this.text) } toMarkup() { return l.escape(this.toText()) } toText() { return this.text } } var ft = { MathNode: dt, TextNode: gt, SpaceNode: class { constructor(e) { this.width = void 0, this.character = void 0, this.width = e, this.character = e >= .05555 && e <= .05556 ? "\u200a" : e >= .1666 && e <= .1667 ? "\u2009" : e >= .2222 && e <= .2223 ? "\u2005" : e >= .2777 && e <= .2778 ? "\u2005\u200a" : e >= -.05556 && e <= -.05555 ? "\u200a\u2063" : e >= -.1667 && e <= -.1666 ? "\u2009\u2063" : e >= -.2223 && e <= -.2222 ? "\u205f\u2063" : e >= -.2778 && e <= -.2777 ? "\u2005\u2063" : null } toNode() { if (this.character) return document.createTextNode(this.character); { const e = document.createElementNS("http://www.w3.org/1998/Math/MathML", "mspace"); return e.setAttribute("width", F(this.width)), e } } toMarkup() { return this.character ? "" + this.character + "" : '' } toText() { return this.character ? this.character : " " } }, newDocumentFragment: ut }; const bt = function (e, t, r) { return !se[t][e] || !se[t][e].replace || 55349 === e.charCodeAt(0) || ke.hasOwnProperty(e) && r && (r.fontFamily && "tt" === r.fontFamily.slice(4, 6) || r.font && "tt" === r.font.slice(4, 6)) || (e = se[t][e].replace), new ft.TextNode(e) }, yt = function (e) { return 1 === e.length ? e[0] : new ft.MathNode("mrow", e) }, xt = function (e, t) { if ("texttt" === t.fontFamily) return "monospace"; if ("textsf" === t.fontFamily) return "textit" === t.fontShape && "textbf" === t.fontWeight ? "sans-serif-bold-italic" : "textit" === t.fontShape ? "sans-serif-italic" : "textbf" === t.fontWeight ? "bold-sans-serif" : "sans-serif"; if ("textit" === t.fontShape && "textbf" === t.fontWeight) return "bold-italic"; if ("textit" === t.fontShape) return "italic"; if ("textbf" === t.fontWeight) return "bold"; const r = t.font; if (!r || "mathnormal" === r) return null; const n = e.mode; if ("mathit" === r) return "italic"; if ("boldsymbol" === r) return "textord" === e.type ? "bold" : "bold-italic"; if ("mathbf" === r) return "bold"; if ("mathbb" === r) return "double-struck"; if ("mathsfit" === r) return "sans-serif-italic"; if ("mathfrak" === r) return "fraktur"; if ("mathscr" === r || "mathcal" === r) return "script"; if ("mathsf" === r) return "sans-serif"; if ("mathtt" === r) return "monospace"; let o = e.text; if (l.contains(["\\imath", "\\jmath"], o)) return null; se[n][o] && se[n][o].replace && (o = se[n][o].replace); return N(o, Pe.fontMap[r].fontName, n) ? Pe.fontMap[r].variant : null }; function wt(e) { if (!e) return !1; if ("mi" === e.type && 1 === e.children.length) { const t = e.children[0]; return t instanceof gt && "." === t.text } if ("mo" === e.type && 1 === e.children.length && "true" === e.getAttribute("separator") && "0em" === e.getAttribute("lspace") && "0em" === e.getAttribute("rspace")) { const t = e.children[0]; return t instanceof gt && "," === t.text } return !1 } const vt = function (e, t, r) { if (1 === e.length) { const n = St(e[0], t); return r && n instanceof dt && "mo" === n.type && (n.setAttribute("lspace", "0em"), n.setAttribute("rspace", "0em")), [n] } const n = []; let o; for (let r = 0; r < e.length; r++) { const s = St(e[r], t); if (s instanceof dt && o instanceof dt) { if ("mtext" === s.type && "mtext" === o.type && s.getAttribute("mathvariant") === o.getAttribute("mathvariant")) { o.children.push(...s.children); continue } if ("mn" === s.type && "mn" === o.type) { o.children.push(...s.children); continue } if (wt(s) && "mn" === o.type) { o.children.push(...s.children); continue } if ("mn" === s.type && wt(o)) s.children = [...o.children, ...s.children], n.pop(); else if (("msup" === s.type || "msub" === s.type) && s.children.length >= 1 && ("mn" === o.type || wt(o))) { const e = s.children[0]; e instanceof dt && "mn" === e.type && (e.children = [...o.children, ...e.children], n.pop()) } else if ("mi" === o.type && 1 === o.children.length) { const e = o.children[0]; if (e instanceof gt && "\u0338" === e.text && ("mo" === s.type || "mi" === s.type || "mn" === s.type)) { const e = s.children[0]; e instanceof gt && e.text.length > 0 && (e.text = e.text.slice(0, 1) + "\u0338" + e.text.slice(1), n.pop()) } } } n.push(s), o = s } return n }, kt = function (e, t, r) { return yt(vt(e, t, r)) }, St = function (e, t) { if (!e) return new ft.MathNode("mrow"); if (je[e.type]) { return je[e.type](e, t) } throw new n("Got group of unknown type: '" + e.type + "'") }; function Mt(e, t, r, n, o) { const s = vt(e, r); let i; i = 1 === s.length && s[0] instanceof dt && l.contains(["mrow", "mtable"], s[0].type) ? s[0] : new ft.MathNode("mrow", s); const a = new ft.MathNode("annotation", [new ft.TextNode(t)]); a.setAttribute("encoding", "application/x-tex"); const h = new ft.MathNode("semantics", [i, a]), c = new ft.MathNode("math", [h]); c.setAttribute("xmlns", "http://www.w3.org/1998/Math/MathML"), n && c.setAttribute("display", "block"); const m = o ? "katex" : "katex-mathml"; return Pe.makeSpan([m], [c]) } const zt = function (e) { return new E({ style: e.displayMode ? w.DISPLAY : w.TEXT, maxSize: e.maxSize, minRuleThickness: e.minRuleThickness }) }, At = function (e, t) { if (t.displayMode) { const r = ["katex-display"]; t.leqno && r.push("leqno"), t.fleqn && r.push("fleqn"), e = Pe.makeSpan(r, [e]) } return e }, Tt = function (e, t, r) { const n = zt(r); let o; if ("mathml" === r.output) return Mt(e, t, n, r.displayMode, !0); if ("html" === r.output) { const t = pt(e, n); o = Pe.makeSpan(["katex"], [t]) } else { const s = Mt(e, t, n, r.displayMode, !1), i = pt(e, n); o = Pe.makeSpan(["katex"], [s, i]) } return At(o, r) }; const Bt = { 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", "\\cdrightarrow": "\u2192", "\\cdleftarrow": "\u2190", "\\cdlongequal": "=" }, Ct = { overrightarrow: [["rightarrow"], .888, 522, "xMaxYMin"], overleftarrow: [["leftarrow"], .888, 522, "xMinYMin"], underrightarrow: [["rightarrow"], .888, 522, "xMaxYMin"], underleftarrow: [["leftarrow"], .888, 522, "xMinYMin"], xrightarrow: [["rightarrow"], 1.469, 522, "xMaxYMin"], "\\cdrightarrow": [["rightarrow"], 3, 522, "xMaxYMin"], xleftarrow: [["leftarrow"], 1.469, 522, "xMinYMin"], "\\cdleftarrow": [["leftarrow"], 3, 522, "xMinYMin"], Overrightarrow: [["doublerightarrow"], .888, 560, "xMaxYMin"], xRightarrow: [["doublerightarrow"], 1.526, 560, "xMaxYMin"], xLeftarrow: [["doubleleftarrow"], 1.526, 560, "xMinYMin"], overleftharpoon: [["leftharpoon"], .888, 522, "xMinYMin"], xleftharpoonup: [["leftharpoon"], .888, 522, "xMinYMin"], xleftharpoondown: [["leftharpoondown"], .888, 522, "xMinYMin"], overrightharpoon: [["rightharpoon"], .888, 522, "xMaxYMin"], xrightharpoonup: [["rightharpoon"], .888, 522, "xMaxYMin"], xrightharpoondown: [["rightharpoondown"], .888, 522, "xMaxYMin"], xlongequal: [["longequal"], .888, 334, "xMinYMin"], "\\cdlongequal": [["longequal"], 3, 334, "xMinYMin"], xtwoheadleftarrow: [["twoheadleftarrow"], .888, 334, "xMinYMin"], xtwoheadrightarrow: [["twoheadrightarrow"], .888, 334, "xMaxYMin"], overleftrightarrow: [["leftarrow", "rightarrow"], .888, 522], overbrace: [["leftbrace", "midbrace", "rightbrace"], 1.6, 548], underbrace: [["leftbraceunder", "midbraceunder", "rightbraceunder"], 1.6, 548], underleftrightarrow: [["leftarrow", "rightarrow"], .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"], .888, 522], underlinesegment: [["leftlinesegment", "rightlinesegment"], .888, 522], overgroup: [["leftgroup", "rightgroup"], .888, 342], undergroup: [["leftgroupunder", "rightgroupunder"], .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] }; var Nt = function (e, t, r, n, o) { let s; const i = e.height + e.depth + r + n; if (/fbox|color|angl/.test(t)) { if (s = Pe.makeSpan(["stretchy", t], [], o), "fbox" === t) { const e = o.color && o.getColor(); e && (s.style.borderColor = e) } } else { const e = []; /^[bx]cancel$/.test(t) && e.push(new ee({ x1: "0", y1: "0", x2: "100%", y2: "100%", "stroke-width": "0.046em" })), /^x?cancel$/.test(t) && e.push(new ee({ x1: "0", y1: "100%", x2: "100%", y2: "0", "stroke-width": "0.046em" })); const r = new J(e, {width: "100%", height: F(i)}); s = Pe.makeSvgSpan([], [r], o) } return s.height = i, s.style.height = F(i), s }, qt = function (e) { const t = new ft.MathNode("mo", [new ft.TextNode(Bt[e.replace(/^\\/, "")])]); return t.setAttribute("stretchy", "true"), t }, It = function (e, t) { const {span: r, minWidth: n, height: o} = function () { let r = 4e5; const n = e.label.slice(1); if (l.contains(["widehat", "widecheck", "widetilde", "utilde"], n)) { const s = "ordgroup" === (o = e.base).type ? o.body.length : 1; let i, a, l; if (s > 5) "widehat" === n || "widecheck" === n ? (i = 420, r = 2364, l = .42, a = n + "4") : (i = 312, r = 2340, l = .34, a = "tilde4"); else { const e = [1, 1, 2, 2, 3, 3][s]; "widehat" === n || "widecheck" === n ? (r = [0, 1062, 2364, 2364, 2364][e], i = [0, 239, 300, 360, 420][e], l = [0, .24, .3, .3, .36, .42][e], a = n + e) : (r = [0, 600, 1033, 2339, 2340][e], i = [0, 260, 286, 306, 312][e], l = [0, .26, .286, .3, .306, .34][e], a = "tilde" + e) } const h = new Q(a), c = new J([h], { width: "100%", height: F(l), viewBox: "0 0 " + r + " " + i, preserveAspectRatio: "none" }); return {span: Pe.makeSvgSpan([], [c], t), minWidth: 0, height: l} } { const e = [], o = Ct[n], [s, i, a] = o, l = a / 1e3, h = s.length; let c, m; if (1 === h) { c = ["hide-tail"], m = [o[3]] } else if (2 === h) c = ["halfarrow-left", "halfarrow-right"], m = ["xMinYMin", "xMaxYMin"]; else { if (3 !== h) throw new Error("Correct katexImagesData or update code here to support\n " + h + " children."); c = ["brace-left", "brace-center", "brace-right"], m = ["xMinYMin", "xMidYMin", "xMaxYMin"] } for (let n = 0; n < h; n++) { const o = new Q(s[n]), p = new J([o], { width: "400em", height: F(l), viewBox: "0 0 " + r + " " + a, preserveAspectRatio: m[n] + " slice" }), u = Pe.makeSvgSpan([c[n]], [p], t); if (1 === h) return {span: u, minWidth: i, height: l}; u.style.height = F(l), e.push(u) } return {span: Pe.makeSpan(["stretchy"], e, t), minWidth: i, height: l} } var o }(); return r.height = o, r.style.height = F(o), n > 0 && (r.style.minWidth = F(n)), r }; function Rt(e, t) { if (!e || e.type !== t) throw new Error("Expected node of type " + t + ", but got " + (e ? "node of type " + e.type : String(e))); return e } function Ht(e) { const t = Ot(e); if (!t) throw new Error("Expected node of symbol group type, but got " + (e ? "node of type " + e.type : String(e))); return t } function Ot(e) { return e && ("atom" === e.type || ne.hasOwnProperty(e.type)) ? e : null } const Et = (e, t) => { let r, n, o; e && "supsub" === e.type ? (n = Rt(e.base, "accent"), r = n.base, e.base = r, o = function (e) { if (e instanceof _) return e; throw new Error("Expected span but got " + String(e) + ".") }(ct(e, t)), e.base = n) : (n = Rt(e, "accent"), r = n.base); const s = ct(r, t.havingCrampedStyle()); let i = 0; if (n.isShifty && l.isCharacterBox(r)) { const e = l.getBaseElem(r); i = te(ct(e, t.havingCrampedStyle())).skew } const a = "\\c" === n.label; let h, c = a ? s.height + s.depth : Math.min(s.height, t.fontMetrics().xHeight); if (n.isStretchy) h = It(n, t), h = Pe.makeVList({ positionType: "firstBaseline", children: [{type: "elem", elem: s}, { type: "elem", elem: h, wrapperClasses: ["svg-align"], wrapperStyle: i > 0 ? {width: "calc(100% - " + F(2 * i) + ")", marginLeft: F(2 * i)} : void 0 }] }, t); else { let e, r; "\\vec" === n.label ? (e = Pe.staticSvg("vec", t), r = Pe.svgData.vec[1]) : (e = Pe.makeOrd({ mode: n.mode, text: n.label }, t, "textord"), e = te(e), e.italic = 0, r = e.width, a && (c += e.depth)), h = Pe.makeSpan(["accent-body"], [e]); const o = "\\textcircled" === n.label; o && (h.classes.push("accent-full"), c = s.height); let l = i; o || (l -= r / 2), h.style.left = F(l), "\\textcircled" === n.label && (h.style.top = ".2em"), h = Pe.makeVList({ positionType: "firstBaseline", children: [{type: "elem", elem: s}, {type: "kern", size: -c}, {type: "elem", elem: h}] }, t) } const m = Pe.makeSpan(["mord", "accent"], [h], t); return o ? (o.children[0] = m, o.height = Math.max(m.height, o.height), o.classes[0] = "mord", o) : m }, Lt = (e, t) => { const r = e.isStretchy ? qt(e.label) : new ft.MathNode("mo", [bt(e.label, e.mode)]), n = new ft.MathNode("mover", [St(e.base, t), r]); return n.setAttribute("accent", "true"), n }, Dt = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map((e => "\\" + e)).join("|")); $e({ 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: (e, t) => { const r = Ke(t[0]), n = !Dt.test(e.funcName), o = !n || "\\widehat" === e.funcName || "\\widetilde" === e.funcName || "\\widecheck" === e.funcName; return {type: "accent", mode: e.parser.mode, label: e.funcName, isStretchy: n, isShifty: o, base: r} }, htmlBuilder: Et, mathmlBuilder: Lt }), $e({ type: "accent", names: ["\\'", "\\`", "\\^", "\\~", "\\=", "\\u", "\\.", '\\"', "\\c", "\\r", "\\H", "\\v", "\\textcircled"], props: {numArgs: 1, allowedInText: !0, allowedInMath: !0, argTypes: ["primitive"]}, handler: (e, t) => { const r = t[0]; let n = e.parser.mode; return "math" === n && (e.parser.settings.reportNonstrict("mathVsTextAccents", "LaTeX's accent " + e.funcName + " works only in text mode"), n = "text"), { type: "accent", mode: n, label: e.funcName, isStretchy: !1, isShifty: !0, base: r } }, htmlBuilder: Et, mathmlBuilder: Lt }), $e({ type: "accentUnder", names: ["\\underleftarrow", "\\underrightarrow", "\\underleftrightarrow", "\\undergroup", "\\underlinesegment", "\\utilde"], props: {numArgs: 1}, handler: (e, t) => { let {parser: r, funcName: n} = e; const o = t[0]; return {type: "accentUnder", mode: r.mode, label: n, base: o} }, htmlBuilder: (e, t) => { const r = ct(e.base, t), n = It(e, t), o = "\\utilde" === e.label ? .12 : 0, s = Pe.makeVList({ positionType: "top", positionData: r.height, children: [{type: "elem", elem: n, wrapperClasses: ["svg-align"]}, { type: "kern", size: o }, {type: "elem", elem: r}] }, t); return Pe.makeSpan(["mord", "accentunder"], [s], t) }, mathmlBuilder: (e, t) => { const r = qt(e.label), n = new ft.MathNode("munder", [St(e.base, t), r]); return n.setAttribute("accentunder", "true"), n } }); const Vt = e => { const t = new ft.MathNode("mpadded", e ? [e] : []); return t.setAttribute("width", "+0.6em"), t.setAttribute("lspace", "0.3em"), t }; $e({ 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", "\\\\cdrightarrow", "\\\\cdleftarrow", "\\\\cdlongequal"], props: {numArgs: 1, numOptionalArgs: 1}, handler(e, t, r) { let {parser: n, funcName: o} = e; return {type: "xArrow", mode: n.mode, label: o, body: t[0], below: r[0]} }, htmlBuilder(e, t) { const r = t.style; let n = t.havingStyle(r.sup()); const o = Pe.wrapFragment(ct(e.body, n, t), t), s = "\\x" === e.label.slice(0, 2) ? "x" : "cd"; let i; o.classes.push(s + "-arrow-pad"), e.below && (n = t.havingStyle(r.sub()), i = Pe.wrapFragment(ct(e.below, n, t), t), i.classes.push(s + "-arrow-pad")); const a = It(e, t), l = -t.fontMetrics().axisHeight + .5 * a.height; let h, c = -t.fontMetrics().axisHeight - .5 * a.height - .111; if ((o.depth > .25 || "\\xleftequilibrium" === e.label) && (c -= o.depth), i) { const e = -t.fontMetrics().axisHeight + i.height + .5 * a.height + .111; h = Pe.makeVList({ positionType: "individualShift", children: [{type: "elem", elem: o, shift: c}, {type: "elem", elem: a, shift: l}, { type: "elem", elem: i, shift: e }] }, t) } else h = Pe.makeVList({ positionType: "individualShift", children: [{type: "elem", elem: o, shift: c}, {type: "elem", elem: a, shift: l}] }, t); return h.children[0].children[0].children[1].classes.push("svg-align"), Pe.makeSpan(["mrel", "x-arrow"], [h], t) }, mathmlBuilder(e, t) { const r = qt(e.label); let n; if (r.setAttribute("minsize", "x" === e.label.charAt(0) ? "1.75em" : "3.0em"), e.body) { const o = Vt(St(e.body, t)); if (e.below) { const s = Vt(St(e.below, t)); n = new ft.MathNode("munderover", [r, s, o]) } else n = new ft.MathNode("mover", [r, o]) } else if (e.below) { const o = Vt(St(e.below, t)); n = new ft.MathNode("munder", [r, o]) } else n = Vt(), n = new ft.MathNode("mover", [r, n]); return n } }); const Pt = Pe.makeSpan; function Ft(e, t) { const r = ot(e.body, t, !0); return Pt([e.mclass], r, t) } function Gt(e, t) { let r; const n = vt(e.body, t); return "minner" === e.mclass ? r = new ft.MathNode("mpadded", n) : "mord" === e.mclass ? e.isCharacterBox ? (r = n[0], r.type = "mi") : r = new ft.MathNode("mi", n) : (e.isCharacterBox ? (r = n[0], r.type = "mo") : r = new ft.MathNode("mo", n), "mbin" === e.mclass ? (r.attributes.lspace = "0.22em", r.attributes.rspace = "0.22em") : "mpunct" === e.mclass ? (r.attributes.lspace = "0em", r.attributes.rspace = "0.17em") : "mopen" === e.mclass || "mclose" === e.mclass ? (r.attributes.lspace = "0em", r.attributes.rspace = "0em") : "minner" === e.mclass && (r.attributes.lspace = "0.0556em", r.attributes.width = "+0.1111em")), r } $e({ type: "mclass", names: ["\\mathord", "\\mathbin", "\\mathrel", "\\mathopen", "\\mathclose", "\\mathpunct", "\\mathinner"], props: {numArgs: 1, primitive: !0}, handler(e, t) { let {parser: r, funcName: n} = e; const o = t[0]; return { type: "mclass", mode: r.mode, mclass: "m" + n.slice(5), body: Je(o), isCharacterBox: l.isCharacterBox(o) } }, htmlBuilder: Ft, mathmlBuilder: Gt }); const Ut = e => { const t = "ordgroup" === e.type && e.body.length ? e.body[0] : e; return "atom" !== t.type || "bin" !== t.family && "rel" !== t.family ? "mord" : "m" + t.family }; $e({ type: "mclass", names: ["\\@binrel"], props: {numArgs: 2}, handler(e, t) { let {parser: r} = e; return { type: "mclass", mode: r.mode, mclass: Ut(t[0]), body: Je(t[1]), isCharacterBox: l.isCharacterBox(t[1]) } } }), $e({ type: "mclass", names: ["\\stackrel", "\\overset", "\\underset"], props: {numArgs: 2}, handler(e, t) { let {parser: r, funcName: n} = e; const o = t[1], s = t[0]; let i; i = "\\stackrel" !== n ? Ut(o) : "mrel"; const a = { type: "op", mode: o.mode, limits: !0, alwaysHandleSupSub: !0, parentIsSupSub: !1, symbol: !1, suppressBaseShift: "\\stackrel" !== n, body: Je(o) }, h = { type: "supsub", mode: s.mode, base: a, sup: "\\underset" === n ? null : s, sub: "\\underset" === n ? s : null }; return {type: "mclass", mode: r.mode, mclass: i, body: [h], isCharacterBox: l.isCharacterBox(h)} }, htmlBuilder: Ft, mathmlBuilder: Gt }), $e({ type: "pmb", names: ["\\pmb"], props: {numArgs: 1, allowedInText: !0}, handler(e, t) { let {parser: r} = e; return {type: "pmb", mode: r.mode, mclass: Ut(t[0]), body: Je(t[0])} }, htmlBuilder(e, t) { const r = ot(e.body, t, !0), n = Pe.makeSpan([e.mclass], r, t); return n.style.textShadow = "0.02em 0.01em 0.04px", n }, mathmlBuilder(e, t) { const r = vt(e.body, t), n = new ft.MathNode("mstyle", r); return n.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px"), n } }); const Yt = { ">": "\\\\cdrightarrow", "<": "\\\\cdleftarrow", "=": "\\\\cdlongequal", A: "\\uparrow", V: "\\downarrow", "|": "\\Vert", ".": "no arrow" }, Xt = e => "textord" === e.type && "@" === e.text; function Wt(e, t, r) { const n = Yt[e]; switch (n) { case"\\\\cdrightarrow": case"\\\\cdleftarrow": return r.callFunction(n, [t[0]], [t[1]]); case"\\uparrow": case"\\downarrow": { const e = {type: "atom", text: n, mode: "math", family: "rel"}, o = { type: "ordgroup", mode: "math", body: [r.callFunction("\\\\cdleft", [t[0]], []), r.callFunction("\\Big", [e], []), r.callFunction("\\\\cdright", [t[1]], [])] }; return r.callFunction("\\\\cdparent", [o], []) } case"\\\\cdlongequal": return r.callFunction("\\\\cdlongequal", [], []); case"\\Vert": { const e = {type: "textord", text: "\\Vert", mode: "math"}; return r.callFunction("\\Big", [e], []) } default: return {type: "textord", text: " ", mode: "math"} } } $e({ type: "cdlabel", names: ["\\\\cdleft", "\\\\cdright"], props: {numArgs: 1}, handler(e, t) { let {parser: r, funcName: n} = e; return {type: "cdlabel", mode: r.mode, side: n.slice(4), label: t[0]} }, htmlBuilder(e, t) { const r = t.havingStyle(t.style.sup()), n = Pe.wrapFragment(ct(e.label, r, t), t); return n.classes.push("cd-label-" + e.side), n.style.bottom = F(.8 - n.depth), n.height = 0, n.depth = 0, n }, mathmlBuilder(e, t) { let r = new ft.MathNode("mrow", [St(e.label, t)]); return r = new ft.MathNode("mpadded", [r]), r.setAttribute("width", "0"), "left" === e.side && r.setAttribute("lspace", "-1width"), r.setAttribute("voffset", "0.7em"), r = new ft.MathNode("mstyle", [r]), r.setAttribute("displaystyle", "false"), r.setAttribute("scriptlevel", "1"), r } }), $e({ type: "cdlabelparent", names: ["\\\\cdparent"], props: {numArgs: 1}, handler(e, t) { let {parser: r} = e; return {type: "cdlabelparent", mode: r.mode, fragment: t[0]} }, htmlBuilder(e, t) { const r = Pe.wrapFragment(ct(e.fragment, t), t); return r.classes.push("cd-vert-arrow"), r }, mathmlBuilder(e, t) { return new ft.MathNode("mrow", [St(e.fragment, t)]) } }), $e({ type: "textord", names: ["\\@char"], props: {numArgs: 1, allowedInText: !0}, handler(e, t) { let {parser: r} = e; const o = Rt(t[0], "ordgroup").body; let s = ""; for (let e = 0; e < o.length; e++) { s += Rt(o[e], "textord").text } let i, a = parseInt(s); if (isNaN(a)) throw new n("\\@char has non-numeric argument " + s); if (a < 0 || a >= 1114111) throw new n("\\@char with invalid code point " + s); return a <= 65535 ? i = String.fromCharCode(a) : (a -= 65536, i = String.fromCharCode(55296 + (a >> 10), 56320 + (1023 & a))), { type: "textord", mode: r.mode, text: i } } }); const _t = (e, t) => { const r = ot(e.body, t.withColor(e.color), !1); return Pe.makeFragment(r) }, jt = (e, t) => { const r = vt(e.body, t.withColor(e.color)), n = new ft.MathNode("mstyle", r); return n.setAttribute("mathcolor", e.color), n }; $e({ type: "color", names: ["\\textcolor"], props: {numArgs: 2, allowedInText: !0, argTypes: ["color", "original"]}, handler(e, t) { let {parser: r} = e; const n = Rt(t[0], "color-token").color, o = t[1]; return {type: "color", mode: r.mode, color: n, body: Je(o)} }, htmlBuilder: _t, mathmlBuilder: jt }), $e({ type: "color", names: ["\\color"], props: {numArgs: 1, allowedInText: !0, argTypes: ["color"]}, handler(e, t) { let {parser: r, breakOnTokenText: n} = e; const o = Rt(t[0], "color-token").color; r.gullet.macros.set("\\current@color", o); const s = r.parseExpression(!0, n); return {type: "color", mode: r.mode, color: o, body: s} }, htmlBuilder: _t, mathmlBuilder: jt }), $e({ type: "cr", names: ["\\\\"], props: {numArgs: 0, numOptionalArgs: 0, allowedInText: !0}, handler(e, t, r) { let {parser: n} = e; const o = "[" === n.gullet.future().text ? n.parseSizeGroup(!0) : null, s = !n.settings.displayMode || !n.settings.useStrictBehavior("newLineInDisplayMode", "In LaTeX, \\\\ or \\newline does nothing in display mode"); return {type: "cr", mode: n.mode, newLine: s, size: o && Rt(o, "size").value} }, htmlBuilder(e, t) { const r = Pe.makeSpan(["mspace"], [], t); return e.newLine && (r.classes.push("newline"), e.size && (r.style.marginTop = F(P(e.size, t)))), r }, mathmlBuilder(e, t) { const r = new ft.MathNode("mspace"); return e.newLine && (r.setAttribute("linebreak", "newline"), e.size && r.setAttribute("height", F(P(e.size, t)))), r } }); const $t = { "\\global": "\\global", "\\long": "\\\\globallong", "\\\\globallong": "\\\\globallong", "\\def": "\\gdef", "\\gdef": "\\gdef", "\\edef": "\\xdef", "\\xdef": "\\xdef", "\\let": "\\\\globallet", "\\futurelet": "\\\\globalfuture" }, Zt = e => { const t = e.text; if (/^(?:[\\{}$&#^_]|EOF)$/.test(t)) throw new n("Expected a control sequence", e); return t }, Kt = (e, t, r, n) => { let o = e.gullet.macros.get(r.text); null == o && (r.noexpand = !0, o = { tokens: [r], numArgs: 0, unexpandable: !e.gullet.isExpandable(r.text) }), e.gullet.macros.set(t, o, n) }; $e({ type: "internal", names: ["\\global", "\\long", "\\\\globallong"], props: {numArgs: 0, allowedInText: !0}, handler(e) { let {parser: t, funcName: r} = e; t.consumeSpaces(); const o = t.fetch(); if ($t[o.text]) return "\\global" !== r && "\\\\globallong" !== r || (o.text = $t[o.text]), Rt(t.parseFunction(), "internal"); throw new n("Invalid token after macro prefix", o) } }), $e({ type: "internal", names: ["\\def", "\\gdef", "\\edef", "\\xdef"], props: {numArgs: 0, allowedInText: !0, primitive: !0}, handler(e) { let {parser: t, funcName: r} = e, o = t.gullet.popToken(); const s = o.text; if (/^(?:[\\{}$&#^_]|EOF)$/.test(s)) throw new n("Expected a control sequence", o); let i, a = 0; const l = [[]]; for (; "{" !== t.gullet.future().text;) if (o = t.gullet.popToken(), "#" === o.text) { if ("{" === t.gullet.future().text) { i = t.gullet.future(), l[a].push("{"); break } if (o = t.gullet.popToken(), !/^[1-9]$/.test(o.text)) throw new n('Invalid argument number "' + o.text + '"'); if (parseInt(o.text) !== a + 1) throw new n('Argument number "' + o.text + '" out of order'); a++, l.push([]) } else { if ("EOF" === o.text) throw new n("Expected a macro definition"); l[a].push(o.text) } let {tokens: h} = t.gullet.consumeArg(); return i && h.unshift(i), "\\edef" !== r && "\\xdef" !== r || (h = t.gullet.expandTokens(h), h.reverse()), t.gullet.macros.set(s, { tokens: h, numArgs: a, delimiters: l }, r === $t[r]), {type: "internal", mode: t.mode} } }), $e({ type: "internal", names: ["\\let", "\\\\globallet"], props: {numArgs: 0, allowedInText: !0, primitive: !0}, handler(e) { let {parser: t, funcName: r} = e; const n = Zt(t.gullet.popToken()); t.gullet.consumeSpaces(); const o = (e => { let t = e.gullet.popToken(); return "=" === t.text && (t = e.gullet.popToken(), " " === t.text && (t = e.gullet.popToken())), t })(t); return Kt(t, n, o, "\\\\globallet" === r), {type: "internal", mode: t.mode} } }), $e({ type: "internal", names: ["\\futurelet", "\\\\globalfuture"], props: {numArgs: 0, allowedInText: !0, primitive: !0}, handler(e) { let {parser: t, funcName: r} = e; const n = Zt(t.gullet.popToken()), o = t.gullet.popToken(), s = t.gullet.popToken(); return Kt(t, n, s, "\\\\globalfuture" === r), t.gullet.pushToken(s), t.gullet.pushToken(o), { type: "internal", mode: t.mode } } }); const Jt = function (e, t, r) { const n = N(se.math[e] && se.math[e].replace || e, t, r); if (!n) throw new Error("Unsupported symbol " + e + " and font size " + t + "."); return n }, Qt = function (e, t, r, n) { const o = r.havingBaseStyle(t), s = Pe.makeSpan(n.concat(o.sizingClasses(r)), [e], r), i = o.sizeMultiplier / r.sizeMultiplier; return s.height *= i, s.depth *= i, s.maxFontSize = o.sizeMultiplier, s }, er = function (e, t, r) { const n = t.havingBaseStyle(r), o = (1 - t.sizeMultiplier / n.sizeMultiplier) * t.fontMetrics().axisHeight; e.classes.push("delimcenter"), e.style.top = F(o), e.height -= o, e.depth += o }, tr = function (e, t, r, n, o, s) { const i = function (e, t, r, n) { return Pe.makeSymbol(e, "Size" + t + "-Regular", r, n) }(e, t, o, n), a = Qt(Pe.makeSpan(["delimsizing", "size" + t], [i], n), w.TEXT, n, s); return r && er(a, n, w.TEXT), a }, rr = function (e, t, r) { let n; n = "Size1-Regular" === t ? "delim-size1" : "delim-size4"; return { type: "elem", elem: Pe.makeSpan(["delimsizinginner", n], [Pe.makeSpan([], [Pe.makeSymbol(e, t, r)])]) } }, nr = function (e, t, r) { const n = T["Size4-Regular"][e.charCodeAt(0)] ? T["Size4-Regular"][e.charCodeAt(0)][4] : T["Size1-Regular"][e.charCodeAt(0)][4], o = new Q("inner", function (e, t) { switch (e) { case"\u239c": return "M291 0 H417 V" + t + " H291z M291 0 H417 V" + t + " H291z"; case"\u2223": return "M145 0 H188 V" + t + " H145z M145 0 H188 V" + t + " H145z"; case"\u2225": return "M145 0 H188 V" + t + " H145z M145 0 H188 V" + t + " H145zM367 0 H410 V" + t + " H367z M367 0 H410 V" + t + " H367z"; case"\u239f": return "M457 0 H583 V" + t + " H457z M457 0 H583 V" + t + " H457z"; case"\u23a2": return "M319 0 H403 V" + t + " H319z M319 0 H403 V" + t + " H319z"; case"\u23a5": return "M263 0 H347 V" + t + " H263z M263 0 H347 V" + t + " H263z"; case"\u23aa": return "M384 0 H504 V" + t + " H384z M384 0 H504 V" + t + " H384z"; case"\u23d0": return "M312 0 H355 V" + t + " H312z M312 0 H355 V" + t + " H312z"; case"\u2016": return "M257 0 H300 V" + t + " H257z M257 0 H300 V" + t + " H257zM478 0 H521 V" + t + " H478z M478 0 H521 V" + t + " H478z"; default: return "" } }(e, Math.round(1e3 * t))), s = new J([o], { width: F(n), height: F(t), style: "width:" + F(n), viewBox: "0 0 " + 1e3 * n + " " + Math.round(1e3 * t), preserveAspectRatio: "xMinYMin" }), i = Pe.makeSvgSpan([], [s], r); return i.height = t, i.style.height = F(t), i.style.width = F(n), {type: "elem", elem: i} }, or = {type: "kern", size: -.008}, sr = ["|", "\\lvert", "\\rvert", "\\vert"], ir = ["\\|", "\\lVert", "\\rVert", "\\Vert"], ar = function (e, t, r, n, o, s) { let i, a, h, c, m = "", p = 0; i = h = c = e, a = null; let u = "Size1-Regular"; "\\uparrow" === e ? h = c = "\u23d0" : "\\Uparrow" === e ? h = c = "\u2016" : "\\downarrow" === e ? i = h = "\u23d0" : "\\Downarrow" === e ? i = h = "\u2016" : "\\updownarrow" === e ? (i = "\\uparrow", h = "\u23d0", c = "\\downarrow") : "\\Updownarrow" === e ? (i = "\\Uparrow", h = "\u2016", c = "\\Downarrow") : l.contains(sr, e) ? (h = "\u2223", m = "vert", p = 333) : l.contains(ir, e) ? (h = "\u2225", m = "doublevert", p = 556) : "[" === e || "\\lbrack" === e ? (i = "\u23a1", h = "\u23a2", c = "\u23a3", u = "Size4-Regular", m = "lbrack", p = 667) : "]" === e || "\\rbrack" === e ? (i = "\u23a4", h = "\u23a5", c = "\u23a6", u = "Size4-Regular", m = "rbrack", p = 667) : "\\lfloor" === e || "\u230a" === e ? (h = i = "\u23a2", c = "\u23a3", u = "Size4-Regular", m = "lfloor", p = 667) : "\\lceil" === e || "\u2308" === e ? (i = "\u23a1", h = c = "\u23a2", u = "Size4-Regular", m = "lceil", p = 667) : "\\rfloor" === e || "\u230b" === e ? (h = i = "\u23a5", c = "\u23a6", u = "Size4-Regular", m = "rfloor", p = 667) : "\\rceil" === e || "\u2309" === e ? (i = "\u23a4", h = c = "\u23a5", u = "Size4-Regular", m = "rceil", p = 667) : "(" === e || "\\lparen" === e ? (i = "\u239b", h = "\u239c", c = "\u239d", u = "Size4-Regular", m = "lparen", p = 875) : ")" === e || "\\rparen" === e ? (i = "\u239e", h = "\u239f", c = "\u23a0", u = "Size4-Regular", m = "rparen", p = 875) : "\\{" === e || "\\lbrace" === e ? (i = "\u23a7", a = "\u23a8", c = "\u23a9", h = "\u23aa", u = "Size4-Regular") : "\\}" === e || "\\rbrace" === e ? (i = "\u23ab", a = "\u23ac", c = "\u23ad", h = "\u23aa", u = "Size4-Regular") : "\\lgroup" === e || "\u27ee" === e ? (i = "\u23a7", c = "\u23a9", h = "\u23aa", u = "Size4-Regular") : "\\rgroup" === e || "\u27ef" === e ? (i = "\u23ab", c = "\u23ad", h = "\u23aa", u = "Size4-Regular") : "\\lmoustache" === e || "\u23b0" === e ? (i = "\u23a7", c = "\u23ad", h = "\u23aa", u = "Size4-Regular") : "\\rmoustache" !== e && "\u23b1" !== e || (i = "\u23ab", c = "\u23a9", h = "\u23aa", u = "Size4-Regular"); const d = Jt(i, u, o), g = d.height + d.depth, f = Jt(h, u, o), b = f.height + f.depth, y = Jt(c, u, o), x = y.height + y.depth; let v = 0, k = 1; if (null !== a) { const e = Jt(a, u, o); v = e.height + e.depth, k = 2 } const S = g + x + v, M = S + Math.max(0, Math.ceil((t - S) / (k * b))) * k * b; let z = n.fontMetrics().axisHeight; r && (z *= n.sizeMultiplier); const A = M / 2 - z, T = []; if (m.length > 0) { const e = M - g - x, t = Math.round(1e3 * M), r = function (e, t) { switch (e) { case"lbrack": return "M403 1759 V84 H666 V0 H319 V1759 v" + t + " v1759 h347 v-84\nH403z M403 1759 V0 H319 V1759 v" + t + " v1759 h84z"; case"rbrack": return "M347 1759 V0 H0 V84 H263 V1759 v" + t + " v1759 H0 v84 H347z\nM347 1759 V0 H263 V1759 v" + t + " v1759 h84z"; case"vert": return "M145 15 v585 v" + t + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -t + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + t + " v585 h43z"; case"doublevert": return "M145 15 v585 v" + t + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -t + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M188 15 H145 v585 v" + t + " v585 h43z\nM367 15 v585 v" + t + " v585 c2.667,10,9.667,15,21,15\nc10,0,16.667,-5,20,-15 v-585 v" + -t + " v-585 c-2.667,-10,-9.667,-15,-21,-15\nc-10,0,-16.667,5,-20,15z M410 15 H367 v585 v" + t + " v585 h43z"; case"lfloor": return "M319 602 V0 H403 V602 v" + t + " v1715 h263 v84 H319z\nMM319 602 V0 H403 V602 v" + t + " v1715 H319z"; case"rfloor": return "M319 602 V0 H403 V602 v" + t + " v1799 H0 v-84 H319z\nMM319 602 V0 H403 V602 v" + t + " v1715 H319z"; case"lceil": return "M403 1759 V84 H666 V0 H319 V1759 v" + t + " v602 h84z\nM403 1759 V0 H319 V1759 v" + t + " v602 h84z"; case"rceil": return "M347 1759 V0 H0 V84 H263 V1759 v" + t + " v602 h84z\nM347 1759 V0 h-84 V1759 v" + t + " v602 h84z"; case"lparen": return "M863,9c0,-2,-2,-5,-6,-9c0,0,-17,0,-17,0c-12.7,0,-19.3,0.3,-20,1\nc-5.3,5.3,-10.3,11,-15,17c-242.7,294.7,-395.3,682,-458,1162c-21.3,163.3,-33.3,349,\n-36,557 l0," + (t + 84) + "c0.2,6,0,26,0,60c2,159.3,10,310.7,24,454c53.3,528,210,\n949.7,470,1265c4.7,6,9.7,11.7,15,17c0.7,0.7,7,1,19,1c0,0,18,0,18,0c4,-4,6,-7,6,-9\nc0,-2.7,-3.3,-8.7,-10,-18c-135.3,-192.7,-235.5,-414.3,-300.5,-665c-65,-250.7,-102.5,\n-544.7,-112.5,-882c-2,-104,-3,-167,-3,-189\nl0,-" + (t + 92) + "c0,-162.7,5.7,-314,17,-454c20.7,-272,63.7,-513,129,-723c65.3,\n-210,155.3,-396.3,270,-559c6.7,-9.3,10,-15.3,10,-18z"; case"rparen": return "M76,0c-16.7,0,-25,3,-25,9c0,2,2,6.3,6,13c21.3,28.7,42.3,60.3,\n63,95c96.7,156.7,172.8,332.5,228.5,527.5c55.7,195,92.8,416.5,111.5,664.5\nc11.3,139.3,17,290.7,17,454c0,28,1.7,43,3.3,45l0," + (t + 9) + "\nc-3,4,-3.3,16.7,-3.3,38c0,162,-5.7,313.7,-17,455c-18.7,248,-55.8,469.3,-111.5,664\nc-55.7,194.7,-131.8,370.3,-228.5,527c-20.7,34.7,-41.7,66.3,-63,95c-2,3.3,-4,7,-6,11\nc0,7.3,5.7,11,17,11c0,0,11,0,11,0c9.3,0,14.3,-0.3,15,-1c5.3,-5.3,10.3,-11,15,-17\nc242.7,-294.7,395.3,-681.7,458,-1161c21.3,-164.7,33.3,-350.7,36,-558\nl0,-" + (t + 144) + "c-2,-159.3,-10,-310.7,-24,-454c-53.3,-528,-210,-949.7,\n-470,-1265c-4.7,-6,-9.7,-11.7,-15,-17c-0.7,-0.7,-6.7,-1,-18,-1z"; default: throw new Error("Unknown stretchy delimiter.") } }(m, Math.round(1e3 * e)), o = new Q(m, r), s = (p / 1e3).toFixed(3) + "em", i = (t / 1e3).toFixed(3) + "em", a = new J([o], {width: s, height: i, viewBox: "0 0 " + p + " " + t}), l = Pe.makeSvgSpan([], [a], n); l.height = t / 1e3, l.style.width = s, l.style.height = i, T.push({type: "elem", elem: l}) } else { if (T.push(rr(c, u, o)), T.push(or), null === a) { const e = M - g - x + .016; T.push(nr(h, e, n)) } else { const e = (M - g - x - v) / 2 + .016; T.push(nr(h, e, n)), T.push(or), T.push(rr(a, u, o)), T.push(or), T.push(nr(h, e, n)) } T.push(or), T.push(rr(i, u, o)) } const B = n.havingBaseStyle(w.TEXT), C = Pe.makeVList({positionType: "bottom", positionData: A, children: T}, B); return Qt(Pe.makeSpan(["delimsizing", "mult"], [C], B), w.TEXT, n, s) }, lr = .08, hr = function (e, t, r, n, o) { const s = function (e, t, r) { t *= 1e3; let n = ""; switch (e) { case"sqrtMain": n = function (e, t) { return "M95," + (622 + e + t) + "\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" + e / 2.075 + " -" + e + "\nc5.3,-9.3,12,-14,20,-14\nH400000v" + (40 + e) + "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 + e) + " " + t + "h400000v" + (40 + e) + "h-400000z" }(t, M); break; case"sqrtSize1": n = function (e, t) { return "M263," + (601 + e + t) + "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" + e / 2.084 + " -" + e + "\nc4.7,-7.3,11,-11,19,-11\nH40000v" + (40 + e) + "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 + e) + " " + t + "h400000v" + (40 + e) + "h-400000z" }(t, M); break; case"sqrtSize2": n = function (e, t) { return "M983 " + (10 + e + t) + "\nl" + e / 3.13 + " -" + e + "\nc4,-6.7,10,-10,18,-10 H400000v" + (40 + e) + "\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 + e) + " " + t + "h400000v" + (40 + e) + "h-400000z" }(t, M); break; case"sqrtSize3": n = function (e, t) { return "M424," + (2398 + e + t) + "\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" + e / 4.223 + " -" + e + "c4,-6.7,10,-10,18,-10 H400000\nv" + (40 + e) + "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 + e) + " " + t + "\nh400000v" + (40 + e) + "h-400000z" }(t, M); break; case"sqrtSize4": n = function (e, t) { return "M473," + (2713 + e + t) + "\nc339.3,-1799.3,509.3,-2700,510,-2702 l" + e / 5.298 + " -" + e + "\nc3.3,-7.3,9.3,-11,18,-11 H400000v" + (40 + e) + "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 + e) + " " + t + "h400000v" + (40 + e) + "H1017.7z" }(t, M); break; case"sqrtTall": n = function (e, t, r) { return "M702 " + (e + t) + "H400000" + (40 + e) + "\nH742v" + (r - 54 - t - e) + "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 " + t + "H400000v" + (40 + e) + "H742z" }(t, M, r) } return n }(e, n, r), i = new Q(e, s), a = new J([i], { width: "400em", height: F(t), viewBox: "0 0 400000 " + r, preserveAspectRatio: "xMinYMin slice" }); return Pe.makeSvgSpan(["hide-tail"], [a], o) }, cr = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"], mr = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"], pr = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"], ur = [0, 1.2, 1.8, 2.4, 3], dr = [{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}], gr = [{type: "small", style: w.SCRIPTSCRIPT}, {type: "small", style: w.SCRIPT}, { type: "small", style: w.TEXT }, {type: "stack"}], fr = [{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"}], br = function (e) { if ("small" === e.type) return "Main-Regular"; if ("large" === e.type) return "Size" + e.size + "-Regular"; if ("stack" === e.type) return "Size4-Regular"; throw new Error("Add support for delim type '" + e.type + "' here.") }, yr = function (e, t, r, n) { for (let o = Math.min(2, 3 - n.style.size); o < r.length && "stack" !== r[o].type; o++) { const s = Jt(e, br(r[o]), "math"); let i = s.height + s.depth; if ("small" === r[o].type) { i *= n.havingBaseStyle(r[o].style).sizeMultiplier } if (i > t) return r[o] } return r[r.length - 1] }, xr = function (e, t, r, n, o, s) { let i; "<" === e || "\\lt" === e || "\u27e8" === e ? e = "\\langle" : ">" !== e && "\\gt" !== e && "\u27e9" !== e || (e = "\\rangle"), i = l.contains(pr, e) ? dr : l.contains(cr, e) ? fr : gr; const a = yr(e, t, i, n); return "small" === a.type ? function (e, t, r, n, o, s) { const i = Pe.makeSymbol(e, "Main-Regular", o, n), a = Qt(i, t, n, s); return r && er(a, n, t), a }(e, a.style, r, n, o, s) : "large" === a.type ? tr(e, a.size, r, n, o, s) : ar(e, t, r, n, o, s) }; var wr = { sqrtImage: function (e, t) { const r = t.havingBaseSizing(), n = yr("\\surd", e * r.sizeMultiplier, fr, r); let o = r.sizeMultiplier; const s = Math.max(0, t.minRuleThickness - t.fontMetrics().sqrtRuleThickness); let i, a, l = 0, h = 0, c = 0; return "small" === n.type ? (c = 1e3 + 1e3 * s + 80, e < 1 ? o = 1 : e < 1.4 && (o = .7), l = (1 + s + lr) / o, h = (1 + s) / o, i = hr("sqrtMain", l, c, s, t), i.style.minWidth = "0.853em", a = .833 / o) : "large" === n.type ? (c = 1080 * ur[n.size], h = (ur[n.size] + s) / o, l = (ur[n.size] + s + lr) / o, i = hr("sqrtSize" + n.size, l, c, s, t), i.style.minWidth = "1.02em", a = 1 / o) : (l = e + s + lr, h = e + s, c = Math.floor(1e3 * e + s) + 80, i = hr("sqrtTall", l, c, s, t), i.style.minWidth = "0.742em", a = 1.056), i.height = h, i.style.height = F(l), { span: i, advanceWidth: a, ruleWidth: (t.fontMetrics().sqrtRuleThickness + s) * o } }, sizedDelim: function (e, t, r, o, s) { if ("<" === e || "\\lt" === e || "\u27e8" === e ? e = "\\langle" : ">" !== e && "\\gt" !== e && "\u27e9" !== e || (e = "\\rangle"), l.contains(cr, e) || l.contains(pr, e)) return tr(e, t, !1, r, o, s); if (l.contains(mr, e)) return ar(e, ur[t], !1, r, o, s); throw new n("Illegal delimiter: '" + e + "'") }, sizeToMaxHeight: ur, customSizedDelim: xr, leftRightDelim: function (e, t, r, n, o, s) { const i = n.fontMetrics().axisHeight * n.sizeMultiplier, a = 5 / n.fontMetrics().ptPerEm, l = Math.max(t - i, r + i), h = Math.max(l / 500 * 901, 2 * l - a); return xr(e, h, !0, n, o, s) } }; const vr = { "\\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} }, kr = ["(", "\\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 Sr(e, t) { const r = Ot(e); if (r && l.contains(kr, r.text)) return r; throw new n(r ? "Invalid delimiter '" + r.text + "' after '" + t.funcName + "'" : "Invalid delimiter type '" + e.type + "'", e) } function Mr(e) { if (!e.body) throw new Error("Bug: The leftright ParseNode wasn't fully parsed.") } $e({ type: "delimsizing", names: ["\\bigl", "\\Bigl", "\\biggl", "\\Biggl", "\\bigr", "\\Bigr", "\\biggr", "\\Biggr", "\\bigm", "\\Bigm", "\\biggm", "\\Biggm", "\\big", "\\Big", "\\bigg", "\\Bigg"], props: {numArgs: 1, argTypes: ["primitive"]}, handler: (e, t) => { const r = Sr(t[0], e); return { type: "delimsizing", mode: e.parser.mode, size: vr[e.funcName].size, mclass: vr[e.funcName].mclass, delim: r.text } }, htmlBuilder: (e, t) => "." === e.delim ? Pe.makeSpan([e.mclass]) : wr.sizedDelim(e.delim, e.size, t, e.mode, [e.mclass]), mathmlBuilder: e => { const t = []; "." !== e.delim && t.push(bt(e.delim, e.mode)); const r = new ft.MathNode("mo", t); "mopen" === e.mclass || "mclose" === e.mclass ? r.setAttribute("fence", "true") : r.setAttribute("fence", "false"), r.setAttribute("stretchy", "true"); const n = F(wr.sizeToMaxHeight[e.size]); return r.setAttribute("minsize", n), r.setAttribute("maxsize", n), r } }), $e({ type: "leftright-right", names: ["\\right"], props: {numArgs: 1, primitive: !0}, handler: (e, t) => { const r = e.parser.gullet.macros.get("\\current@color"); if (r && "string" != typeof r) throw new n("\\current@color set to non-string in \\right"); return {type: "leftright-right", mode: e.parser.mode, delim: Sr(t[0], e).text, color: r} } }), $e({ type: "leftright", names: ["\\left"], props: {numArgs: 1, primitive: !0}, handler: (e, t) => { const r = Sr(t[0], e), n = e.parser; ++n.leftrightDepth; const o = n.parseExpression(!1); --n.leftrightDepth, n.expect("\\right", !1); const s = Rt(n.parseFunction(), "leftright-right"); return {type: "leftright", mode: n.mode, body: o, left: r.text, right: s.delim, rightColor: s.color} }, htmlBuilder: (e, t) => { Mr(e); const r = ot(e.body, t, !0, ["mopen", "mclose"]); let n, o, s = 0, i = 0, a = !1; for (let e = 0; e < r.length; e++) r[e].isMiddle ? a = !0 : (s = Math.max(r[e].height, s), i = Math.max(r[e].depth, i)); if (s *= t.sizeMultiplier, i *= t.sizeMultiplier, n = "." === e.left ? ht(t, ["mopen"]) : wr.leftRightDelim(e.left, s, i, t, e.mode, ["mopen"]), r.unshift(n), a) for (let t = 1; t < r.length; t++) { const n = r[t].isMiddle; n && (r[t] = wr.leftRightDelim(n.delim, s, i, n.options, e.mode, [])) } if ("." === e.right) o = ht(t, ["mclose"]); else { const r = e.rightColor ? t.withColor(e.rightColor) : t; o = wr.leftRightDelim(e.right, s, i, r, e.mode, ["mclose"]) } return r.push(o), Pe.makeSpan(["minner"], r, t) }, mathmlBuilder: (e, t) => { Mr(e); const r = vt(e.body, t); if ("." !== e.left) { const t = new ft.MathNode("mo", [bt(e.left, e.mode)]); t.setAttribute("fence", "true"), r.unshift(t) } if ("." !== e.right) { const t = new ft.MathNode("mo", [bt(e.right, e.mode)]); t.setAttribute("fence", "true"), e.rightColor && t.setAttribute("mathcolor", e.rightColor), r.push(t) } return yt(r) } }), $e({ type: "middle", names: ["\\middle"], props: {numArgs: 1, primitive: !0}, handler: (e, t) => { const r = Sr(t[0], e); if (!e.parser.leftrightDepth) throw new n("\\middle without preceding \\left", r); return {type: "middle", mode: e.parser.mode, delim: r.text} }, htmlBuilder: (e, t) => { let r; if ("." === e.delim) r = ht(t, []); else { r = wr.sizedDelim(e.delim, 1, t, e.mode, []); const n = {delim: e.delim, options: t}; r.isMiddle = n } return r }, mathmlBuilder: (e, t) => { const r = "\\vert" === e.delim || "|" === e.delim ? bt("|", "text") : bt(e.delim, e.mode), n = new ft.MathNode("mo", [r]); return n.setAttribute("fence", "true"), n.setAttribute("lspace", "0.05em"), n.setAttribute("rspace", "0.05em"), n } }); const zr = (e, t) => { const r = Pe.wrapFragment(ct(e.body, t), t), n = e.label.slice(1); let o, s = t.sizeMultiplier, i = 0; const a = l.isCharacterBox(e.body); if ("sout" === n) o = Pe.makeSpan(["stretchy", "sout"]), o.height = t.fontMetrics().defaultRuleThickness / s, i = -.5 * t.fontMetrics().xHeight; else if ("phase" === n) { const e = P({number: .6, unit: "pt"}, t), n = P({number: .35, unit: "ex"}, t); s /= t.havingBaseSizing().sizeMultiplier; const a = r.height + r.depth + e + n; r.style.paddingLeft = F(a / 2 + e); const l = Math.floor(1e3 * a * s), c = "M400000 " + (h = l) + " H0 L" + h / 2 + " 0 l65 45 L145 " + (h - 80) + " H400000z", m = new J([new Q("phase", c)], { width: "400em", height: F(l / 1e3), viewBox: "0 0 400000 " + l, preserveAspectRatio: "xMinYMin slice" }); o = Pe.makeSvgSpan(["hide-tail"], [m], t), o.style.height = F(a), i = r.depth + e + n } else { /cancel/.test(n) ? a || r.classes.push("cancel-pad") : "angl" === n ? r.classes.push("anglpad") : r.classes.push("boxpad"); let s = 0, l = 0, h = 0; /box/.test(n) ? (h = Math.max(t.fontMetrics().fboxrule, t.minRuleThickness), s = t.fontMetrics().fboxsep + ("colorbox" === n ? 0 : h), l = s) : "angl" === n ? (h = Math.max(t.fontMetrics().defaultRuleThickness, t.minRuleThickness), s = 4 * h, l = Math.max(0, .25 - r.depth)) : (s = a ? .2 : 0, l = s), o = Nt(r, n, s, l, t), /fbox|boxed|fcolorbox/.test(n) ? (o.style.borderStyle = "solid", o.style.borderWidth = F(h)) : "angl" === n && .049 !== h && (o.style.borderTopWidth = F(h), o.style.borderRightWidth = F(h)), i = r.depth + l, e.backgroundColor && (o.style.backgroundColor = e.backgroundColor, e.borderColor && (o.style.borderColor = e.borderColor)) } var h; let c; if (e.backgroundColor) c = Pe.makeVList({ positionType: "individualShift", children: [{type: "elem", elem: o, shift: i}, {type: "elem", elem: r, shift: 0}] }, t); else { const e = /cancel|phase/.test(n) ? ["svg-align"] : []; c = Pe.makeVList({ positionType: "individualShift", children: [{type: "elem", elem: r, shift: 0}, {type: "elem", elem: o, shift: i, wrapperClasses: e}] }, t) } return /cancel/.test(n) && (c.height = r.height, c.depth = r.depth), /cancel/.test(n) && !a ? Pe.makeSpan(["mord", "cancel-lap"], [c], t) : Pe.makeSpan(["mord"], [c], t) }, Ar = (e, t) => { let r = 0; const n = new ft.MathNode(e.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [St(e.body, t)]); switch (e.label) { case"\\cancel": n.setAttribute("notation", "updiagonalstrike"); break; case"\\bcancel": n.setAttribute("notation", "downdiagonalstrike"); break; case"\\phase": n.setAttribute("notation", "phasorangle"); break; case"\\sout": n.setAttribute("notation", "horizontalstrike"); break; case"\\fbox": n.setAttribute("notation", "box"); break; case"\\angl": n.setAttribute("notation", "actuarial"); break; case"\\fcolorbox": case"\\colorbox": if (r = t.fontMetrics().fboxsep * t.fontMetrics().ptPerEm, n.setAttribute("width", "+" + 2 * r + "pt"), n.setAttribute("height", "+" + 2 * r + "pt"), n.setAttribute("lspace", r + "pt"), n.setAttribute("voffset", r + "pt"), "\\fcolorbox" === e.label) { const r = Math.max(t.fontMetrics().fboxrule, t.minRuleThickness); n.setAttribute("style", "border: " + r + "em solid " + String(e.borderColor)) } break; case"\\xcancel": n.setAttribute("notation", "updiagonalstrike downdiagonalstrike") } return e.backgroundColor && n.setAttribute("mathbackground", e.backgroundColor), n }; $e({ type: "enclose", names: ["\\colorbox"], props: {numArgs: 2, allowedInText: !0, argTypes: ["color", "text"]}, handler(e, t, r) { let {parser: n, funcName: o} = e; const s = Rt(t[0], "color-token").color, i = t[1]; return {type: "enclose", mode: n.mode, label: o, backgroundColor: s, body: i} }, htmlBuilder: zr, mathmlBuilder: Ar }), $e({ type: "enclose", names: ["\\fcolorbox"], props: {numArgs: 3, allowedInText: !0, argTypes: ["color", "color", "text"]}, handler(e, t, r) { let {parser: n, funcName: o} = e; const s = Rt(t[0], "color-token").color, i = Rt(t[1], "color-token").color, a = t[2]; return {type: "enclose", mode: n.mode, label: o, backgroundColor: i, borderColor: s, body: a} }, htmlBuilder: zr, mathmlBuilder: Ar }), $e({ type: "enclose", names: ["\\fbox"], props: {numArgs: 1, argTypes: ["hbox"], allowedInText: !0}, handler(e, t) { let {parser: r} = e; return {type: "enclose", mode: r.mode, label: "\\fbox", body: t[0]} } }), $e({ type: "enclose", names: ["\\cancel", "\\bcancel", "\\xcancel", "\\sout", "\\phase"], props: {numArgs: 1}, handler(e, t) { let {parser: r, funcName: n} = e; const o = t[0]; return {type: "enclose", mode: r.mode, label: n, body: o} }, htmlBuilder: zr, mathmlBuilder: Ar }), $e({ type: "enclose", names: ["\\angl"], props: {numArgs: 1, argTypes: ["hbox"], allowedInText: !1}, handler(e, t) { let {parser: r} = e; return {type: "enclose", mode: r.mode, label: "\\angl", body: t[0]} } }); const Tr = {}; function Br(e) { let {type: t, names: r, props: n, handler: o, htmlBuilder: s, mathmlBuilder: i} = e; const a = {type: t, numArgs: n.numArgs || 0, allowedInText: !1, numOptionalArgs: 0, handler: o}; for (let e = 0; e < r.length; ++e) Tr[r[e]] = a; s && (_e[t] = s), i && (je[t] = i) } const Cr = {}; function Nr(e, t) { Cr[e] = t } class qr { constructor(e, t, r) { this.lexer = void 0, this.start = void 0, this.end = void 0, this.lexer = e, this.start = t, this.end = r } static range(e, t) { return t ? e && e.loc && t.loc && e.loc.lexer === t.loc.lexer ? new qr(e.loc.lexer, e.loc.start, t.loc.end) : null : e && e.loc } } class Ir { constructor(e, t) { this.text = void 0, this.loc = void 0, this.noexpand = void 0, this.treatAsRelax = void 0, this.text = e, this.loc = t } range(e, t) { return new Ir(t, qr.range(this, e)) } } function Rr(e) { const t = []; e.consumeSpaces(); let r = e.fetch().text; for ("\\relax" === r && (e.consume(), e.consumeSpaces(), r = e.fetch().text); "\\hline" === r || "\\hdashline" === r;) e.consume(), t.push("\\hdashline" === r), e.consumeSpaces(), r = e.fetch().text; return t } const Hr = e => { if (!e.parser.settings.displayMode) throw new n("{" + e.envName + "} can be used only in display mode.") }; function Or(e) { if (-1 === e.indexOf("ed")) return -1 === e.indexOf("*") } function Er(e, t, r) { let { hskipBeforeAndAfter: o, addJot: s, cols: i, arraystretch: a, colSeparationType: l, autoTag: h, singleRow: c, emptySingleRow: m, maxNumCols: p, leqno: u } = t; if (e.gullet.beginGroup(), c || e.gullet.macros.set("\\cr", "\\\\\\relax"), !a) { const t = e.gullet.expandMacroAsText("\\arraystretch"); if (null == t) a = 1; else if (a = parseFloat(t), !a || a < 0) throw new n("Invalid \\arraystretch: " + t) } e.gullet.beginGroup(); let d = []; const g = [d], f = [], b = [], y = null != h ? [] : void 0; function x() { h && e.gullet.macros.set("\\@eqnsw", "1", !0) } function w() { y && (e.gullet.macros.get("\\df@tag") ? (y.push(e.subparse([new Ir("\\df@tag")])), e.gullet.macros.set("\\df@tag", void 0, !0)) : y.push(Boolean(h) && "1" === e.gullet.macros.get("\\@eqnsw"))) } for (x(), b.push(Rr(e)); ;) { let t = e.parseExpression(!1, c ? "\\end" : "\\\\"); e.gullet.endGroup(), e.gullet.beginGroup(), t = { type: "ordgroup", mode: e.mode, body: t }, r && (t = {type: "styling", mode: e.mode, style: r, body: [t]}), d.push(t); const o = e.fetch().text; if ("&" === o) { if (p && d.length === p) { if (c || l) throw new n("Too many tab characters: &", e.nextToken); e.settings.reportNonstrict("textEnv", "Too few columns specified in the {array} column argument.") } e.consume() } else { if ("\\end" === o) { w(), 1 === d.length && "styling" === t.type && 0 === t.body[0].body.length && (g.length > 1 || !m) && g.pop(), b.length < g.length + 1 && b.push([]); break } if ("\\\\" !== o) throw new n("Expected & or \\\\ or \\cr or \\end", e.nextToken); { let t; e.consume(), " " !== e.gullet.future().text && (t = e.parseSizeGroup(!0)), f.push(t ? t.value : null), w(), b.push(Rr(e)), d = [], g.push(d), x() } } } return e.gullet.endGroup(), e.gullet.endGroup(), { type: "array", mode: e.mode, addJot: s, arraystretch: a, body: g, cols: i, rowGaps: f, hskipBeforeAndAfter: o, hLinesBeforeRow: b, colSeparationType: l, tags: y, leqno: u } } function Lr(e) { return "d" === e.slice(0, 1) ? "display" : "text" } const Dr = function (e, t) { let r, o; const s = e.body.length, i = e.hLinesBeforeRow; let a = 0, h = new Array(s); const c = [], m = Math.max(t.fontMetrics().arrayRuleWidth, t.minRuleThickness), p = 1 / t.fontMetrics().ptPerEm; let u = 5 * p; if (e.colSeparationType && "small" === e.colSeparationType) { u = t.havingStyle(w.SCRIPT).sizeMultiplier / t.sizeMultiplier * .2778 } const d = "CD" === e.colSeparationType ? P({number: 3, unit: "ex"}, t) : 12 * p, g = 3 * p, f = e.arraystretch * d, b = .7 * f, y = .3 * f; let x = 0; function v(e) { for (let t = 0; t < e.length; ++t) t > 0 && (x += .25), c.push({pos: x, isDashed: e[t]}) } for (v(i[0]), r = 0; r < e.body.length; ++r) { const n = e.body[r]; let s = b, l = y; a < n.length && (a = n.length); const c = new Array(n.length); for (o = 0; o < n.length; ++o) { const e = ct(n[o], t); l < e.depth && (l = e.depth), s < e.height && (s = e.height), c[o] = e } const m = e.rowGaps[r]; let p = 0; m && (p = P(m, t), p > 0 && (p += y, l < p && (l = p), p = 0)), e.addJot && (l += g), c.height = s, c.depth = l, x += s, c.pos = x, x += l + p, h[r] = c, v(i[r + 1]) } const k = x / 2 + t.fontMetrics().axisHeight, S = e.cols || [], M = []; let z, A; const T = []; if (e.tags && e.tags.some((e => e))) for (r = 0; r < s; ++r) { const n = h[r], o = n.pos - k, s = e.tags[r]; let i; i = !0 === s ? Pe.makeSpan(["eqn-num"], [], t) : !1 === s ? Pe.makeSpan([], [], t) : Pe.makeSpan([], ot(s, t, !0), t), i.depth = n.depth, i.height = n.height, T.push({ type: "elem", elem: i, shift: o }) } for (o = 0, A = 0; o < a || A < S.length; ++o, ++A) { let i, c = S[A] || {}, p = !0; for (; "separator" === c.type;) { if (p || (z = Pe.makeSpan(["arraycolsep"], []), z.style.width = F(t.fontMetrics().doubleRuleSep), M.push(z)), "|" !== c.separator && ":" !== c.separator) throw new n("Invalid separator type: " + c.separator); { const e = "|" === c.separator ? "solid" : "dashed", r = Pe.makeSpan(["vertical-separator"], [], t); r.style.height = F(x), r.style.borderRightWidth = F(m), r.style.borderRightStyle = e, r.style.margin = "0 " + F(-m / 2); const n = x - k; n && (r.style.verticalAlign = F(-n)), M.push(r) } A++, c = S[A] || {}, p = !1 } if (o >= a) continue; (o > 0 || e.hskipBeforeAndAfter) && (i = l.deflt(c.pregap, u), 0 !== i && (z = Pe.makeSpan(["arraycolsep"], []), z.style.width = F(i), M.push(z))); let d = []; for (r = 0; r < s; ++r) { const e = h[r], t = e[o]; if (!t) continue; const n = e.pos - k; t.depth = e.depth, t.height = e.height, d.push({type: "elem", elem: t, shift: n}) } d = Pe.makeVList({ positionType: "individualShift", children: d }, t), d = Pe.makeSpan(["col-align-" + (c.align || "c")], [d]), M.push(d), (o < a - 1 || e.hskipBeforeAndAfter) && (i = l.deflt(c.postgap, u), 0 !== i && (z = Pe.makeSpan(["arraycolsep"], []), z.style.width = F(i), M.push(z))) } if (h = Pe.makeSpan(["mtable"], M), c.length > 0) { const e = Pe.makeLineSpan("hline", t, m), r = Pe.makeLineSpan("hdashline", t, m), n = [{type: "elem", elem: h, shift: 0}]; for (; c.length > 0;) { const t = c.pop(), o = t.pos - k; t.isDashed ? n.push({type: "elem", elem: r, shift: o}) : n.push({type: "elem", elem: e, shift: o}) } h = Pe.makeVList({positionType: "individualShift", children: n}, t) } if (0 === T.length) return Pe.makeSpan(["mord"], [h], t); { let e = Pe.makeVList({positionType: "individualShift", children: T}, t); return e = Pe.makeSpan(["tag"], [e], t), Pe.makeFragment([h, e]) } }, Vr = {c: "center ", l: "left ", r: "right "}, Pr = function (e, t) { const r = [], n = new ft.MathNode("mtd", [], ["mtr-glue"]), o = new ft.MathNode("mtd", [], ["mml-eqn-num"]); for (let s = 0; s < e.body.length; s++) { const i = e.body[s], a = []; for (let e = 0; e < i.length; e++) a.push(new ft.MathNode("mtd", [St(i[e], t)])); e.tags && e.tags[s] && (a.unshift(n), a.push(n), e.leqno ? a.unshift(o) : a.push(o)), r.push(new ft.MathNode("mtr", a)) } let s = new ft.MathNode("mtable", r); const i = .5 === e.arraystretch ? .1 : .16 + e.arraystretch - 1 + (e.addJot ? .09 : 0); s.setAttribute("rowspacing", F(i)); let a = "", l = ""; if (e.cols && e.cols.length > 0) { const t = e.cols; let r = "", n = !1, o = 0, i = t.length; "separator" === t[0].type && (a += "top ", o = 1), "separator" === t[t.length - 1].type && (a += "bottom ", i -= 1); for (let e = o; e < i; e++) "align" === t[e].type ? (l += Vr[t[e].align], n && (r += "none "), n = !0) : "separator" === t[e].type && n && (r += "|" === t[e].separator ? "solid " : "dashed ", n = !1); s.setAttribute("columnalign", l.trim()), /[sd]/.test(r) && s.setAttribute("columnlines", r.trim()) } if ("align" === e.colSeparationType) { const t = e.cols || []; let r = ""; for (let e = 1; e < t.length; e++) r += e % 2 ? "0em " : "1em "; s.setAttribute("columnspacing", r.trim()) } else "alignat" === e.colSeparationType || "gather" === e.colSeparationType ? s.setAttribute("columnspacing", "0em") : "small" === e.colSeparationType ? s.setAttribute("columnspacing", "0.2778em") : "CD" === e.colSeparationType ? s.setAttribute("columnspacing", "0.5em") : s.setAttribute("columnspacing", "1em"); let h = ""; const c = e.hLinesBeforeRow; a += c[0].length > 0 ? "left " : "", a += c[c.length - 1].length > 0 ? "right " : ""; for (let e = 1; e < c.length - 1; e++) h += 0 === c[e].length ? "none " : c[e][0] ? "dashed " : "solid "; return /[sd]/.test(h) && s.setAttribute("rowlines", h.trim()), "" !== a && (s = new ft.MathNode("menclose", [s]), s.setAttribute("notation", a.trim())), e.arraystretch && e.arraystretch < 1 && (s = new ft.MathNode("mstyle", [s]), s.setAttribute("scriptlevel", "1")), s }, Fr = function (e, t) { -1 === e.envName.indexOf("ed") && Hr(e); const r = [], o = e.envName.indexOf("at") > -1 ? "alignat" : "align", s = "split" === e.envName, i = Er(e.parser, { cols: r, addJot: !0, autoTag: s ? void 0 : Or(e.envName), emptySingleRow: !0, colSeparationType: o, maxNumCols: s ? 2 : void 0, leqno: e.parser.settings.leqno }, "display"); let a, l = 0; const h = {type: "ordgroup", mode: e.mode, body: []}; if (t[0] && "ordgroup" === t[0].type) { let e = ""; for (let r = 0; r < t[0].body.length; r++) { e += Rt(t[0].body[r], "textord").text } a = Number(e), l = 2 * a } const c = !l; i.body.forEach((function (e) { for (let t = 1; t < e.length; t += 2) { const r = Rt(e[t], "styling"); Rt(r.body[0], "ordgroup").body.unshift(h) } if (c) l < e.length && (l = e.length); else { const t = e.length / 2; if (a < t) throw new n("Too many math in a row: expected " + a + ", but got " + t, e[0]) } })); for (let e = 0; e < l; ++e) { let t = "r", n = 0; e % 2 == 1 ? t = "l" : e > 0 && c && (n = 1), r[e] = {type: "align", align: t, pregap: n, postgap: 0} } return i.colSeparationType = c ? "align" : "alignat", i }; Br({ type: "array", names: ["array", "darray"], props: {numArgs: 1}, handler(e, t) { const r = (Ot(t[0]) ? [t[0]] : Rt(t[0], "ordgroup").body).map((function (e) { const t = Ht(e).text; if (-1 !== "lcr".indexOf(t)) return {type: "align", align: t}; if ("|" === t) return {type: "separator", separator: "|"}; if (":" === t) return {type: "separator", separator: ":"}; throw new n("Unknown column alignment: " + t, e) })), o = {cols: r, hskipBeforeAndAfter: !0, maxNumCols: r.length}; return Er(e.parser, o, Lr(e.envName)) }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["matrix", "pmatrix", "bmatrix", "Bmatrix", "vmatrix", "Vmatrix", "matrix*", "pmatrix*", "bmatrix*", "Bmatrix*", "vmatrix*", "Vmatrix*"], props: {numArgs: 0}, handler(e) { const t = { matrix: null, pmatrix: ["(", ")"], bmatrix: ["[", "]"], Bmatrix: ["\\{", "\\}"], vmatrix: ["|", "|"], Vmatrix: ["\\Vert", "\\Vert"] }[e.envName.replace("*", "")]; let r = "c"; const o = {hskipBeforeAndAfter: !1, cols: [{type: "align", align: r}]}; if ("*" === e.envName.charAt(e.envName.length - 1)) { const t = e.parser; if (t.consumeSpaces(), "[" === t.fetch().text) { if (t.consume(), t.consumeSpaces(), r = t.fetch().text, -1 === "lcr".indexOf(r)) throw new n("Expected l or c or r", t.nextToken); t.consume(), t.consumeSpaces(), t.expect("]"), t.consume(), o.cols = [{type: "align", align: r}] } } const s = Er(e.parser, o, Lr(e.envName)), i = Math.max(0, ...s.body.map((e => e.length))); return s.cols = new Array(i).fill({type: "align", align: r}), t ? { type: "leftright", mode: e.mode, body: [s], left: t[0], right: t[1], rightColor: void 0 } : s }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["smallmatrix"], props: {numArgs: 0}, handler(e) { const t = Er(e.parser, {arraystretch: .5}, "script"); return t.colSeparationType = "small", t }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["subarray"], props: {numArgs: 1}, handler(e, t) { const r = (Ot(t[0]) ? [t[0]] : Rt(t[0], "ordgroup").body).map((function (e) { const t = Ht(e).text; if (-1 !== "lc".indexOf(t)) return {type: "align", align: t}; throw new n("Unknown column alignment: " + t, e) })); if (r.length > 1) throw new n("{subarray} can contain only one column"); let o = {cols: r, hskipBeforeAndAfter: !1, arraystretch: .5}; if (o = Er(e.parser, o, "script"), o.body.length > 0 && o.body[0].length > 1) throw new n("{subarray} can contain only one column"); return o }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["cases", "dcases", "rcases", "drcases"], props: {numArgs: 0}, handler(e) { const t = Er(e.parser, { arraystretch: 1.2, cols: [{type: "align", align: "l", pregap: 0, postgap: 1}, { type: "align", align: "l", pregap: 0, postgap: 0 }] }, Lr(e.envName)); return { type: "leftright", mode: e.mode, body: [t], left: e.envName.indexOf("r") > -1 ? "." : "\\{", right: e.envName.indexOf("r") > -1 ? "\\}" : ".", rightColor: void 0 } }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["align", "align*", "aligned", "split"], props: {numArgs: 0}, handler: Fr, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["gathered", "gather", "gather*"], props: {numArgs: 0}, handler(e) { l.contains(["gather", "gather*"], e.envName) && Hr(e); const t = { cols: [{type: "align", align: "c"}], addJot: !0, colSeparationType: "gather", autoTag: Or(e.envName), emptySingleRow: !0, leqno: e.parser.settings.leqno }; return Er(e.parser, t, "display") }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["alignat", "alignat*", "alignedat"], props: {numArgs: 1}, handler: Fr, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["equation", "equation*"], props: {numArgs: 0}, handler(e) { Hr(e); const t = { autoTag: Or(e.envName), emptySingleRow: !0, singleRow: !0, maxNumCols: 1, leqno: e.parser.settings.leqno }; return Er(e.parser, t, "display") }, htmlBuilder: Dr, mathmlBuilder: Pr }), Br({ type: "array", names: ["CD"], props: {numArgs: 0}, handler(e) { return Hr(e), function (e) { const t = []; for (e.gullet.beginGroup(), e.gullet.macros.set("\\cr", "\\\\\\relax"), e.gullet.beginGroup(); ;) { t.push(e.parseExpression(!1, "\\\\")), e.gullet.endGroup(), e.gullet.beginGroup(); const r = e.fetch().text; if ("&" !== r && "\\\\" !== r) { if ("\\end" === r) { 0 === t[t.length - 1].length && t.pop(); break } throw new n("Expected \\\\ or \\cr or \\end", e.nextToken) } e.consume() } let r = []; const o = [r]; for (let a = 0; a < t.length; a++) { const l = t[a]; let h = {type: "styling", body: [], mode: "math", style: "display"}; for (let t = 0; t < l.length; t++) if (Xt(l[t])) { r.push(h), t += 1; const o = Ht(l[t]).text, a = new Array(2); if (a[0] = {type: "ordgroup", mode: "math", body: []}, a[1] = { type: "ordgroup", mode: "math", body: [] }, "=|.".indexOf(o) > -1) ; else { if (!("<>AV".indexOf(o) > -1)) throw new n('Expected one of "<>AV=|." after @', l[t]); for (let e = 0; e < 2; e++) { let r = !0; for (let h = t + 1; h < l.length; h++) { if (i = o, ("mathord" === (s = l[h]).type || "atom" === s.type) && s.text === i) { r = !1, t = h; break } if (Xt(l[h])) throw new n("Missing a " + o + " character to complete a CD arrow.", l[h]); a[e].body.push(l[h]) } if (r) throw new n("Missing a " + o + " character to complete a CD arrow.", l[t]) } } const c = {type: "styling", body: [Wt(o, a, e)], mode: "math", style: "display"}; r.push(c), h = {type: "styling", body: [], mode: "math", style: "display"} } else h.body.push(l[t]); a % 2 == 0 ? r.push(h) : r.shift(), r = [], o.push(r) } var s, i; return e.gullet.endGroup(), e.gullet.endGroup(), { type: "array", mode: "math", body: o, arraystretch: 1, addJot: !0, rowGaps: [null], cols: new Array(o[0].length).fill({type: "align", align: "c", pregap: .25, postgap: .25}), colSeparationType: "CD", hLinesBeforeRow: new Array(o.length + 1).fill([]) } }(e.parser) }, htmlBuilder: Dr, mathmlBuilder: Pr }), Nr("\\nonumber", "\\gdef\\@eqnsw{0}"), Nr("\\notag", "\\nonumber"), $e({ type: "text", names: ["\\hline", "\\hdashline"], props: {numArgs: 0, allowedInText: !0, allowedInMath: !0}, handler(e, t) { throw new n(e.funcName + " valid only within array environment") } }); var Gr = Tr; $e({ type: "environment", names: ["\\begin", "\\end"], props: {numArgs: 1, argTypes: ["text"]}, handler(e, t) { let {parser: r, funcName: o} = e; const s = t[0]; if ("ordgroup" !== s.type) throw new n("Invalid environment name", s); let i = ""; for (let e = 0; e < s.body.length; ++e) i += Rt(s.body[e], "textord").text; if ("\\begin" === o) { if (!Gr.hasOwnProperty(i)) throw new n("No such environment: " + i, s); const e = Gr[i], {args: t, optArgs: o} = r.parseArguments("\\begin{" + i + "}", e), a = {mode: r.mode, envName: i, parser: r}, l = e.handler(a, t, o); r.expect("\\end", !1); const h = r.nextToken, c = Rt(r.parseFunction(), "environment"); if (c.name !== i) throw new n("Mismatch: \\begin{" + i + "} matched by \\end{" + c.name + "}", h); return l } return {type: "environment", mode: r.mode, name: i, nameGroup: s} } }); const Ur = (e, t) => { const r = e.font, n = t.withFont(r); return ct(e.body, n) }, Yr = (e, t) => { const r = e.font, n = t.withFont(r); return St(e.body, n) }, Xr = {"\\Bbb": "\\mathbb", "\\bold": "\\mathbf", "\\frak": "\\mathfrak", "\\bm": "\\boldsymbol"}; $e({ type: "font", names: ["\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", "\\mathsfit", "\\mathbb", "\\mathcal", "\\mathfrak", "\\mathscr", "\\mathsf", "\\mathtt", "\\Bbb", "\\bold", "\\frak"], props: {numArgs: 1, allowedInArgument: !0}, handler: (e, t) => { let {parser: r, funcName: n} = e; const o = Ke(t[0]); let s = n; return s in Xr && (s = Xr[s]), {type: "font", mode: r.mode, font: s.slice(1), body: o} }, htmlBuilder: Ur, mathmlBuilder: Yr }), $e({ type: "mclass", names: ["\\boldsymbol", "\\bm"], props: {numArgs: 1}, handler: (e, t) => { let {parser: r} = e; const n = t[0], o = l.isCharacterBox(n); return { type: "mclass", mode: r.mode, mclass: Ut(n), body: [{type: "font", mode: r.mode, font: "boldsymbol", body: n}], isCharacterBox: o } } }), $e({ type: "font", names: ["\\rm", "\\sf", "\\tt", "\\bf", "\\it", "\\cal"], props: {numArgs: 0, allowedInText: !0}, handler: (e, t) => { let {parser: r, funcName: n, breakOnTokenText: o} = e; const {mode: s} = r, i = r.parseExpression(!0, o); return { type: "font", mode: s, font: "math" + n.slice(1), body: {type: "ordgroup", mode: r.mode, body: i} } }, htmlBuilder: Ur, mathmlBuilder: Yr }); const Wr = (e, t) => { let r = t; return "display" === e ? r = r.id >= w.SCRIPT.id ? r.text() : w.DISPLAY : "text" === e && r.size === w.DISPLAY.size ? r = w.TEXT : "script" === e ? r = w.SCRIPT : "scriptscript" === e && (r = w.SCRIPTSCRIPT), r }, _r = (e, t) => { const r = Wr(e.size, t.style), n = r.fracNum(), o = r.fracDen(); let s; s = t.havingStyle(n); const i = ct(e.numer, s, t); if (e.continued) { const e = 8.5 / t.fontMetrics().ptPerEm, r = 3.5 / t.fontMetrics().ptPerEm; i.height = i.height < e ? e : i.height, i.depth = i.depth < r ? r : i.depth } s = t.havingStyle(o); const a = ct(e.denom, s, t); let l, h, c, m, p, u, d, g, f, b; if (e.hasBarLine ? (e.barSize ? (h = P(e.barSize, t), l = Pe.makeLineSpan("frac-line", t, h)) : l = Pe.makeLineSpan("frac-line", t), h = l.height, c = l.height) : (l = null, h = 0, c = t.fontMetrics().defaultRuleThickness), r.size === w.DISPLAY.size || "display" === e.size ? (m = t.fontMetrics().num1, p = h > 0 ? 3 * c : 7 * c, u = t.fontMetrics().denom1) : (h > 0 ? (m = t.fontMetrics().num2, p = c) : (m = t.fontMetrics().num3, p = 3 * c), u = t.fontMetrics().denom2), l) { const e = t.fontMetrics().axisHeight; m - i.depth - (e + .5 * h) < p && (m += p - (m - i.depth - (e + .5 * h))), e - .5 * h - (a.height - u) < p && (u += p - (e - .5 * h - (a.height - u))); const r = -(e - .5 * h); d = Pe.makeVList({ positionType: "individualShift", children: [{type: "elem", elem: a, shift: u}, {type: "elem", elem: l, shift: r}, { type: "elem", elem: i, shift: -m }] }, t) } else { const e = m - i.depth - (a.height - u); e < p && (m += .5 * (p - e), u += .5 * (p - e)), d = Pe.makeVList({ positionType: "individualShift", children: [{type: "elem", elem: a, shift: u}, {type: "elem", elem: i, shift: -m}] }, t) } return s = t.havingStyle(r), d.height *= s.sizeMultiplier / t.sizeMultiplier, d.depth *= s.sizeMultiplier / t.sizeMultiplier, g = r.size === w.DISPLAY.size ? t.fontMetrics().delim1 : r.size === w.SCRIPTSCRIPT.size ? t.havingStyle(w.SCRIPT).fontMetrics().delim2 : t.fontMetrics().delim2, f = null == e.leftDelim ? ht(t, ["mopen"]) : wr.customSizedDelim(e.leftDelim, g, !0, t.havingStyle(r), e.mode, ["mopen"]), b = e.continued ? Pe.makeSpan([]) : null == e.rightDelim ? ht(t, ["mclose"]) : wr.customSizedDelim(e.rightDelim, g, !0, t.havingStyle(r), e.mode, ["mclose"]), Pe.makeSpan(["mord"].concat(s.sizingClasses(t)), [f, Pe.makeSpan(["mfrac"], [d]), b], t) }, jr = (e, t) => { let r = new ft.MathNode("mfrac", [St(e.numer, t), St(e.denom, t)]); if (e.hasBarLine) { if (e.barSize) { const n = P(e.barSize, t); r.setAttribute("linethickness", F(n)) } } else r.setAttribute("linethickness", "0px"); const n = Wr(e.size, t.style); if (n.size !== t.style.size) { r = new ft.MathNode("mstyle", [r]); const e = n.size === w.DISPLAY.size ? "true" : "false"; r.setAttribute("displaystyle", e), r.setAttribute("scriptlevel", "0") } if (null != e.leftDelim || null != e.rightDelim) { const t = []; if (null != e.leftDelim) { const r = new ft.MathNode("mo", [new ft.TextNode(e.leftDelim.replace("\\", ""))]); r.setAttribute("fence", "true"), t.push(r) } if (t.push(r), null != e.rightDelim) { const r = new ft.MathNode("mo", [new ft.TextNode(e.rightDelim.replace("\\", ""))]); r.setAttribute("fence", "true"), t.push(r) } return yt(t) } return r }; $e({ type: "genfrac", names: ["\\dfrac", "\\frac", "\\tfrac", "\\dbinom", "\\binom", "\\tbinom", "\\\\atopfrac", "\\\\bracefrac", "\\\\brackfrac"], props: {numArgs: 2, allowedInArgument: !0}, handler: (e, t) => { let {parser: r, funcName: n} = e; const o = t[0], s = t[1]; let i, a = null, l = null, h = "auto"; switch (n) { case"\\dfrac": case"\\frac": case"\\tfrac": i = !0; break; case"\\\\atopfrac": i = !1; break; case"\\dbinom": case"\\binom": case"\\tbinom": i = !1, a = "(", l = ")"; break; case"\\\\bracefrac": i = !1, a = "\\{", l = "\\}"; break; case"\\\\brackfrac": i = !1, a = "[", l = "]"; break; default: throw new Error("Unrecognized genfrac command") } switch (n) { case"\\dfrac": case"\\dbinom": h = "display"; break; case"\\tfrac": case"\\tbinom": h = "text" } return { type: "genfrac", mode: r.mode, continued: !1, numer: o, denom: s, hasBarLine: i, leftDelim: a, rightDelim: l, size: h, barSize: null } }, htmlBuilder: _r, mathmlBuilder: jr }), $e({ type: "genfrac", names: ["\\cfrac"], props: {numArgs: 2}, handler: (e, t) => { let {parser: r, funcName: n} = e; const o = t[0], s = t[1]; return { type: "genfrac", mode: r.mode, continued: !0, numer: o, denom: s, hasBarLine: !0, leftDelim: null, rightDelim: null, size: "display", barSize: null } } }), $e({ type: "infix", names: ["\\over", "\\choose", "\\atop", "\\brace", "\\brack"], props: {numArgs: 0, infix: !0}, handler(e) { let t, {parser: r, funcName: n, token: o} = e; switch (n) { case"\\over": t = "\\frac"; break; case"\\choose": t = "\\binom"; break; case"\\atop": t = "\\\\atopfrac"; break; case"\\brace": t = "\\\\bracefrac"; break; case"\\brack": t = "\\\\brackfrac"; break; default: throw new Error("Unrecognized infix genfrac command") } return {type: "infix", mode: r.mode, replaceWith: t, token: o} } }); const $r = ["display", "text", "script", "scriptscript"], Zr = function (e) { let t = null; return e.length > 0 && (t = e, t = "." === t ? null : t), t }; $e({ type: "genfrac", names: ["\\genfrac"], props: {numArgs: 6, allowedInArgument: !0, argTypes: ["math", "math", "size", "text", "math", "math"]}, handler(e, t) { let {parser: r} = e; const n = t[4], o = t[5], s = Ke(t[0]), i = "atom" === s.type && "open" === s.family ? Zr(s.text) : null, a = Ke(t[1]), l = "atom" === a.type && "close" === a.family ? Zr(a.text) : null, h = Rt(t[2], "size"); let c, m = null; h.isBlank ? c = !0 : (m = h.value, c = m.number > 0); let p = "auto", u = t[3]; if ("ordgroup" === u.type) { if (u.body.length > 0) { const e = Rt(u.body[0], "textord"); p = $r[Number(e.text)] } } else u = Rt(u, "textord"), p = $r[Number(u.text)]; return { type: "genfrac", mode: r.mode, numer: n, denom: o, continued: !1, hasBarLine: c, barSize: m, leftDelim: i, rightDelim: l, size: p } }, htmlBuilder: _r, mathmlBuilder: jr }), $e({ type: "infix", names: ["\\above"], props: {numArgs: 1, argTypes: ["size"], infix: !0}, handler(e, t) { let {parser: r, funcName: n, token: o} = e; return { type: "infix", mode: r.mode, replaceWith: "\\\\abovefrac", size: Rt(t[0], "size").value, token: o } } }), $e({ type: "genfrac", names: ["\\\\abovefrac"], props: {numArgs: 3, argTypes: ["math", "size", "math"]}, handler: (e, t) => { let {parser: r, funcName: n} = e; const o = t[0], s = function (e) { if (!e) throw new Error("Expected non-null, but got " + String(e)); return e }(Rt(t[1], "infix").size), i = t[2], a = s.number > 0; return { type: "genfrac", mode: r.mode, numer: o, denom: i, continued: !1, hasBarLine: a, barSize: s, leftDelim: null, rightDelim: null, size: "auto" } }, htmlBuilder: _r, mathmlBuilder: jr }); const Kr = (e, t) => { const r = t.style; let n, o; "supsub" === e.type ? (n = e.sup ? ct(e.sup, t.havingStyle(r.sup()), t) : ct(e.sub, t.havingStyle(r.sub()), t), o = Rt(e.base, "horizBrace")) : o = Rt(e, "horizBrace"); const s = ct(o.base, t.havingBaseStyle(w.DISPLAY)), i = It(o, t); let a; if (o.isOver ? (a = Pe.makeVList({ positionType: "firstBaseline", children: [{type: "elem", elem: s}, {type: "kern", size: .1}, {type: "elem", elem: i}] }, t), a.children[0].children[0].children[1].classes.push("svg-align")) : (a = Pe.makeVList({ positionType: "bottom", positionData: s.depth + .1 + i.height, children: [{type: "elem", elem: i}, {type: "kern", size: .1}, {type: "elem", elem: s}] }, t), a.children[0].children[0].children[0].classes.push("svg-align")), n) { const e = Pe.makeSpan(["mord", o.isOver ? "mover" : "munder"], [a], t); a = o.isOver ? 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Pe.makeFragment(ot(e.body, t, !1)) : Pe.makeSpan(["mord"], ot(e.body, t, !0), t) }, mathmlBuilder(e, t) { return kt(e.body, t, !0) } }), $e({ type: "overline", names: ["\\overline"], props: {numArgs: 1}, handler(e, t) { let {parser: r} = e; const n = t[0]; return {type: "overline", mode: r.mode, body: n} }, htmlBuilder(e, t) { const r = ct(e.body, t.havingCrampedStyle()), n = Pe.makeLineSpan("overline-line", t), o = t.fontMetrics().defaultRuleThickness, s = Pe.makeVList({ positionType: "firstBaseline", children: [{type: "elem", elem: r}, {type: "kern", size: 3 * o}, { type: "elem", elem: n }, {type: "kern", size: o}] }, t); return Pe.makeSpan(["mord", "overline"], [s], t) }, mathmlBuilder(e, t) { const r = new ft.MathNode("mo", [new ft.TextNode("\u203e")]); r.setAttribute("stretchy", "true"); const n = new ft.MathNode("mover", [St(e.body, t), r]); return n.setAttribute("accent", "true"), n } }), $e({ type: "phantom", names: ["\\phantom"], props: {numArgs: 1, allowedInText: !0}, handler: (e, t) => { let {parser: r} = e; const n = t[0]; return {type: "phantom", mode: r.mode, body: Je(n)} }, htmlBuilder: (e, t) => { const r = ot(e.body, t.withPhantom(), !1); return Pe.makeFragment(r) }, mathmlBuilder: (e, t) => { const r = vt(e.body, t); return new ft.MathNode("mphantom", r) } }), $e({ type: "hphantom", names: ["\\hphantom"], props: {numArgs: 1, allowedInText: !0}, handler: (e, t) => { let {parser: r} = e; const n = t[0]; return {type: "hphantom", mode: r.mode, body: n} }, htmlBuilder: (e, t) => { let r = Pe.makeSpan([], [ct(e.body, t.withPhantom())]); if (r.height = 0, r.depth = 0, r.children) for (let e = 0; e < r.children.length; e++) r.children[e].height = 0, r.children[e].depth = 0; return r = Pe.makeVList({ positionType: "firstBaseline", children: [{type: "elem", elem: r}] }, t), Pe.makeSpan(["mord"], [r], t) }, mathmlBuilder: (e, t) => { const r = vt(Je(e.body), t), n = new ft.MathNode("mphantom", r), o = new ft.MathNode("mpadded", [n]); return o.setAttribute("height", "0px"), o.setAttribute("depth", "0px"), o } }), $e({ type: "vphantom", names: ["\\vphantom"], props: {numArgs: 1, allowedInText: !0}, handler: (e, t) => { let {parser: r} = e; const n = t[0]; return {type: "vphantom", mode: r.mode, body: n} }, htmlBuilder: (e, t) => { const r = Pe.makeSpan(["inner"], [ct(e.body, t.withPhantom())]), n = Pe.makeSpan(["fix"], []); return Pe.makeSpan(["mord", "rlap"], [r, n], t) }, mathmlBuilder: (e, t) => { const r = vt(Je(e.body), t), n = new ft.MathNode("mphantom", r), o = new ft.MathNode("mpadded", [n]); return o.setAttribute("width", "0px"), o } }), $e({ type: "raisebox", names: ["\\raisebox"], props: {numArgs: 2, argTypes: ["size", "hbox"], allowedInText: !0}, handler(e, t) { let {parser: r} = e; const n = Rt(t[0], "size").value, o = t[1]; return {type: "raisebox", mode: r.mode, dy: n, body: o} }, htmlBuilder(e, t) { const r = ct(e.body, t), n = P(e.dy, t); return Pe.makeVList({positionType: "shift", positionData: -n, children: [{type: "elem", elem: r}]}, t) }, mathmlBuilder(e, t) { const r = new ft.MathNode("mpadded", [St(e.body, t)]), n = e.dy.number + e.dy.unit; return r.setAttribute("voffset", n), r } }), $e({ type: "internal", names: ["\\relax"], props: {numArgs: 0, allowedInText: !0, allowedInArgument: !0}, handler(e) { let {parser: t} = e; return {type: "internal", mode: t.mode} } }), $e({ type: "rule", names: ["\\rule"], props: { numArgs: 2, numOptionalArgs: 1, allowedInText: !0, allowedInMath: !0, argTypes: ["size", "size", "size"] }, handler(e, t, r) { let {parser: n} = e; const o = r[0], s = Rt(t[0], "size"), i = Rt(t[1], "size"); return {type: "rule", mode: n.mode, shift: o && Rt(o, "size").value, width: s.value, height: i.value} }, htmlBuilder(e, t) { const r = Pe.makeSpan(["mord", "rule"], [], t), n = P(e.width, t), o = P(e.height, t), s = e.shift ? P(e.shift, t) : 0; return r.style.borderRightWidth = F(n), r.style.borderTopWidth = F(o), r.style.bottom = F(s), r.width = n, r.height = o + s, r.depth = -s, r.maxFontSize = 1.125 * o * t.sizeMultiplier, r }, mathmlBuilder(e, t) { const r = P(e.width, t), n = P(e.height, t), o = e.shift ? P(e.shift, t) : 0, s = t.color && t.getColor() || "black", i = new ft.MathNode("mspace"); i.setAttribute("mathbackground", s), i.setAttribute("width", F(r)), i.setAttribute("height", F(n)); const a = new ft.MathNode("mpadded", [i]); return o >= 0 ? a.setAttribute("height", F(o)) : (a.setAttribute("height", F(o)), a.setAttribute("depth", F(-o))), a.setAttribute("voffset", F(o)), a } }); const hn = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"]; $e({ type: "sizing", names: hn, props: {numArgs: 0, allowedInText: !0}, handler: (e, t) => { let {breakOnTokenText: r, funcName: n, parser: o} = e; const s = o.parseExpression(!1, r); return {type: "sizing", mode: o.mode, size: hn.indexOf(n) + 1, body: s} }, htmlBuilder: (e, t) => { const r = t.havingSize(e.size); return ln(e.body, r, t) }, mathmlBuilder: (e, t) => { const r = t.havingSize(e.size), n = vt(e.body, r), o = new ft.MathNode("mstyle", n); return o.setAttribute("mathsize", F(r.sizeMultiplier)), o } }), $e({ type: "smash", names: ["\\smash"], props: {numArgs: 1, numOptionalArgs: 1, allowedInText: !0}, handler: (e, t, r) => { let {parser: n} = e, o = !1, s = !1; const i = r[0] && Rt(r[0], "ordgroup"); if (i) { let e = ""; for (let t = 0; t < i.body.length; ++t) { if (e = i.body[t].text, "t" === e) o = !0; else { if ("b" !== e) { o = !1, s = !1; break } s = !0 } } } else o = !0, s = !0; const a = t[0]; return {type: "smash", mode: n.mode, body: a, smashHeight: o, smashDepth: s} }, htmlBuilder: (e, t) => { const r = Pe.makeSpan([], [ct(e.body, t)]); if (!e.smashHeight && !e.smashDepth) return r; if (e.smashHeight && (r.height = 0, r.children)) for (let e = 0; e < r.children.length; e++) r.children[e].height = 0; if (e.smashDepth && (r.depth = 0, r.children)) for (let e = 0; e < r.children.length; e++) r.children[e].depth = 0; const n = Pe.makeVList({positionType: "firstBaseline", children: [{type: "elem", elem: r}]}, t); return Pe.makeSpan(["mord"], [n], t) }, mathmlBuilder: (e, t) => { const r = new ft.MathNode("mpadded", [St(e.body, t)]); return e.smashHeight && r.setAttribute("height", "0px"), e.smashDepth && r.setAttribute("depth", "0px"), r } }), $e({ type: "sqrt", names: ["\\sqrt"], props: {numArgs: 1, numOptionalArgs: 1}, handler(e, t, r) { let {parser: n} = e; const o = r[0], s = t[0]; return {type: "sqrt", mode: n.mode, body: s, index: o} }, htmlBuilder(e, t) { let r = ct(e.body, t.havingCrampedStyle()); 0 === r.height && (r.height = t.fontMetrics().xHeight), r = Pe.wrapFragment(r, t); const n = t.fontMetrics().defaultRuleThickness; let o = n; t.style.id < w.TEXT.id && (o = t.fontMetrics().xHeight); let s = n + o / 4; const i = r.height + r.depth + s + n, {span: a, ruleWidth: l, advanceWidth: h} = wr.sqrtImage(i, t), c = a.height - l; c > r.height + r.depth + s && (s = (s + c - r.height - r.depth) / 2); const m = a.height - r.height - s - l; r.style.paddingLeft = F(h); const p = Pe.makeVList({ positionType: "firstBaseline", children: [{type: "elem", elem: r, wrapperClasses: ["svg-align"]}, { type: "kern", size: -(r.height + m) }, {type: "elem", elem: a}, {type: "kern", size: l}] }, t); if (e.index) { const r = t.havingStyle(w.SCRIPTSCRIPT), n = ct(e.index, r, t), o = .6 * (p.height - p.depth), s = Pe.makeVList({ positionType: "shift", positionData: -o, children: [{type: "elem", elem: n}] }, t), i = Pe.makeSpan(["root"], [s]); return Pe.makeSpan(["mord", "sqrt"], [i, p], t) } return Pe.makeSpan(["mord", "sqrt"], [p], t) }, mathmlBuilder(e, t) { const {body: r, index: n} = e; return n ? new ft.MathNode("mroot", [St(r, t), St(n, t)]) : new ft.MathNode("msqrt", [St(r, t)]) } }); const cn = {display: w.DISPLAY, text: w.TEXT, script: w.SCRIPT, scriptscript: w.SCRIPTSCRIPT}; $e({ type: "styling", names: ["\\displaystyle", "\\textstyle", "\\scriptstyle", "\\scriptscriptstyle"], props: {numArgs: 0, allowedInText: !0, primitive: !0}, handler(e, t) { let {breakOnTokenText: r, funcName: n, parser: o} = e; const s = o.parseExpression(!0, r), i = n.slice(1, n.length - 5); return {type: "styling", mode: o.mode, style: i, body: s} }, htmlBuilder(e, t) { const r = cn[e.style], n = t.havingStyle(r).withFont(""); return ln(e.body, n, t) }, mathmlBuilder(e, t) { const r = cn[e.style], n = t.havingStyle(r), o = vt(e.body, n), s = new ft.MathNode("mstyle", o), i = { display: ["0", "true"], text: ["0", "false"], script: ["1", "false"], scriptscript: ["2", "false"] }[e.style]; return s.setAttribute("scriptlevel", i[0]), s.setAttribute("displaystyle", i[1]), s } }); Ze({ type: "supsub", htmlBuilder(e, t) { const r = function (e, t) { const r = e.base; if (r) return "op" === r.type ? r.limits && (t.style.size === w.DISPLAY.size || r.alwaysHandleSupSub) ? rn : null : "operatorname" === r.type ? r.alwaysHandleSupSub && (t.style.size === w.DISPLAY.size || r.limits) ? an : null : "accent" === r.type ? l.isCharacterBox(r.base) ? Et : null : "horizBrace" === r.type && !e.sub === r.isOver ? Kr : null; return null }(e, t); if (r) return r(e, t); const {base: n, sup: o, sub: s} = e, i = ct(n, t); let a, h; const c = t.fontMetrics(); let m = 0, p = 0; const u = n && l.isCharacterBox(n); if (o) { const e = t.havingStyle(t.style.sup()); a = ct(o, e, t), u || (m = i.height - e.fontMetrics().supDrop * e.sizeMultiplier / t.sizeMultiplier) } if (s) { const e = t.havingStyle(t.style.sub()); h = ct(s, e, t), u || (p = i.depth + e.fontMetrics().subDrop * e.sizeMultiplier / t.sizeMultiplier) } let d; d = t.style === w.DISPLAY ? c.sup1 : t.style.cramped ? c.sup3 : c.sup2; const g = t.sizeMultiplier, f = F(.5 / c.ptPerEm / g); let b, y = null; if (h) { const t = e.base && "op" === e.base.type && e.base.name && ("\\oiint" === e.base.name || "\\oiiint" === e.base.name); (i instanceof K || t) && (y = F(-i.italic)) } if (a && h) { m = Math.max(m, d, a.depth + .25 * c.xHeight), p = Math.max(p, c.sub2); const e = 4 * c.defaultRuleThickness; if (m - a.depth - (h.height - p) < e) { p = e - (m - a.depth) + h.height; const t = .8 * c.xHeight - (m - a.depth); t > 0 && (m += t, p -= t) } const r = [{type: "elem", elem: h, shift: p, marginRight: f, marginLeft: y}, { type: "elem", elem: a, shift: -m, marginRight: f }]; b = Pe.makeVList({positionType: "individualShift", children: r}, t) } else if (h) { p = Math.max(p, c.sub1, h.height - .8 * c.xHeight); const e = [{type: "elem", elem: h, marginLeft: y, marginRight: f}]; b = Pe.makeVList({positionType: "shift", positionData: p, children: e}, t) } else { if (!a) throw new Error("supsub must have either sup or sub."); m = Math.max(m, d, a.depth + .25 * c.xHeight), b = Pe.makeVList({ positionType: "shift", positionData: -m, children: [{type: "elem", elem: a, marginRight: f}] }, t) } const x = lt(i, "right") || "mord"; return Pe.makeSpan([x], [i, Pe.makeSpan(["msupsub"], [b])], t) }, mathmlBuilder(e, t) { let r, n, o = !1; e.base && "horizBrace" === e.base.type && (n = !!e.sup, n === e.base.isOver && (o = !0, r = e.base.isOver)), !e.base || "op" !== e.base.type && "operatorname" !== e.base.type || (e.base.parentIsSupSub = !0); const s = [St(e.base, t)]; let i; if (e.sub && s.push(St(e.sub, t)), e.sup && s.push(St(e.sup, t)), o) i = r ? 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"mover" : "msup" } return new ft.MathNode(i, s) } }), Ze({ type: "atom", htmlBuilder(e, t) { return Pe.mathsym(e.text, e.mode, t, ["m" + e.family]) }, mathmlBuilder(e, t) { const r = new ft.MathNode("mo", [bt(e.text, e.mode)]); if ("bin" === e.family) { const n = xt(e, t); "bold-italic" === n && r.setAttribute("mathvariant", n) } else "punct" === e.family ? r.setAttribute("separator", "true") : "open" !== e.family && "close" !== e.family || r.setAttribute("stretchy", "false"); return r } }); const mn = {mi: "italic", mn: "normal", mtext: "normal"}; Ze({ type: "mathord", htmlBuilder(e, t) { return Pe.makeOrd(e, t, "mathord") }, mathmlBuilder(e, t) { const r = new ft.MathNode("mi", [bt(e.text, e.mode, t)]), n = xt(e, t) || "italic"; return n !== mn[r.type] && r.setAttribute("mathvariant", n), r } }), Ze({ type: "textord", htmlBuilder(e, t) { return Pe.makeOrd(e, t, "textord") }, mathmlBuilder(e, t) { const r = bt(e.text, e.mode, t), n = xt(e, t) || "normal"; let o; return o = "text" === e.mode ? new ft.MathNode("mtext", [r]) : /[0-9]/.test(e.text) ? new ft.MathNode("mn", [r]) : "\\prime" === e.text ? new ft.MathNode("mo", [r]) : new ft.MathNode("mi", [r]), n !== mn[o.type] && o.setAttribute("mathvariant", n), o } }); const pn = {"\\nobreak": "nobreak", "\\allowbreak": "allowbreak"}, un = { " ": {}, "\\ ": {}, "~": {className: "nobreak"}, "\\space": {}, "\\nobreakspace": {className: "nobreak"} }; Ze({ type: "spacing", htmlBuilder(e, t) { if (un.hasOwnProperty(e.text)) { const r = un[e.text].className || ""; if ("text" === e.mode) { const n = Pe.makeOrd(e, t, "textord"); return n.classes.push(r), n } return Pe.makeSpan(["mspace", r], [Pe.mathsym(e.text, e.mode, t)], t) } if (pn.hasOwnProperty(e.text)) return Pe.makeSpan(["mspace", pn[e.text]], [], t); throw new n('Unknown type of space "' + e.text + '"') }, mathmlBuilder(e, t) { let r; if (!un.hasOwnProperty(e.text)) { if (pn.hasOwnProperty(e.text)) return new ft.MathNode("mspace"); throw new n('Unknown type of space "' + e.text + '"') } return r = new ft.MathNode("mtext", [new ft.TextNode("\xa0")]), r } }); const dn = () => { const e = new ft.MathNode("mtd", []); return e.setAttribute("width", "50%"), e }; Ze({ type: "tag", mathmlBuilder(e, t) { const r = new ft.MathNode("mtable", [new ft.MathNode("mtr", [dn(), new ft.MathNode("mtd", [kt(e.body, t)]), dn(), new ft.MathNode("mtd", [kt(e.tag, t)])])]); return r.setAttribute("width", "100%"), r } }); const gn = { "\\text": void 0, "\\textrm": "textrm", "\\textsf": "textsf", "\\texttt": "texttt", "\\textnormal": "textrm" }, fn = {"\\textbf": "textbf", "\\textmd": "textmd"}, bn = {"\\textit": "textit", "\\textup": "textup"}, yn = (e, t) => { const r = e.font; return r ? gn[r] ? t.withTextFontFamily(gn[r]) : fn[r] ? t.withTextFontWeight(fn[r]) : "\\emph" === r ? "textit" === t.fontShape ? t.withTextFontShape("textup") : t.withTextFontShape("textit") : t.withTextFontShape(bn[r]) : t }; $e({ type: "text", names: ["\\text", "\\textrm", "\\textsf", "\\texttt", "\\textnormal", "\\textbf", "\\textmd", "\\textit", "\\textup", "\\emph"], props: {numArgs: 1, argTypes: ["text"], allowedInArgument: !0, allowedInText: !0}, handler(e, t) { let {parser: r, funcName: n} = e; const o = t[0]; return {type: "text", mode: r.mode, body: Je(o), font: n} }, htmlBuilder(e, t) { const r = yn(e, t), n = ot(e.body, r, !0); return Pe.makeSpan(["mord", "text"], n, r) }, mathmlBuilder(e, t) { const r = yn(e, t); return kt(e.body, r) } }), $e({ type: "underline", names: ["\\underline"], props: {numArgs: 1, allowedInText: !0}, handler(e, t) { let {parser: r} = e; return {type: "underline", mode: r.mode, body: t[0]} }, htmlBuilder(e, t) { const r = ct(e.body, t), n = Pe.makeLineSpan("underline-line", t), o = t.fontMetrics().defaultRuleThickness, s = Pe.makeVList({ positionType: "top", positionData: r.height, children: [{type: "kern", size: o}, {type: "elem", elem: n}, { type: "kern", size: 3 * o }, {type: "elem", elem: r}] }, t); return Pe.makeSpan(["mord", "underline"], [s], t) }, mathmlBuilder(e, t) { const r = new ft.MathNode("mo", [new ft.TextNode("\u203e")]); r.setAttribute("stretchy", "true"); const n = new ft.MathNode("munder", [St(e.body, t), r]); return n.setAttribute("accentunder", "true"), n } }), $e({ type: "vcenter", names: ["\\vcenter"], props: {numArgs: 1, argTypes: ["original"], allowedInText: !1}, handler(e, t) { let {parser: r} = e; return {type: "vcenter", mode: r.mode, body: t[0]} }, htmlBuilder(e, t) { const r = ct(e.body, t), n = t.fontMetrics().axisHeight, o = .5 * (r.height - n - (r.depth + n)); return Pe.makeVList({positionType: "shift", positionData: o, children: [{type: "elem", elem: r}]}, t) }, mathmlBuilder(e, t) { return new ft.MathNode("mpadded", [St(e.body, t)], ["vcenter"]) } }), $e({ type: "verb", names: ["\\verb"], props: {numArgs: 0, allowedInText: !0}, handler(e, t, r) { throw new n("\\verb ended by end of line instead of matching delimiter") }, htmlBuilder(e, t) { const r = xn(e), n = [], o = t.havingStyle(t.style.text()); for (let t = 0; t < r.length; t++) { let s = r[t]; "~" === s && (s = "\\textasciitilde"), n.push(Pe.makeSymbol(s, "Typewriter-Regular", e.mode, o, ["mord", "texttt"])) } return Pe.makeSpan(["mord", "text"].concat(o.sizingClasses(t)), Pe.tryCombineChars(n), o) }, mathmlBuilder(e, t) { const r = new ft.TextNode(xn(e)), n = new ft.MathNode("mtext", [r]); return n.setAttribute("mathvariant", "monospace"), n } }); const xn = e => e.body.replace(/ /g, e.star ? "\u2423" : "\xa0"); var wn = We; const vn = "[ \r\n\t]", kn = "(\\\\[a-zA-Z@]+)" + vn + "*", Sn = "[\u0300-\u036f]", Mn = new RegExp(Sn + "+$"), zn = "(" + vn + "+)|\\\\(\n|[ \r\t]+\n?)[ \r\t]*|([!-\\[\\]-\u2027\u202a-\ud7ff\uf900-\uffff]" + Sn + "*|[\ud800-\udbff][\udc00-\udfff]" + Sn + "*|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5|" + kn + "|\\\\[^\ud800-\udfff])"; class An { constructor(e, t) { this.input = void 0, this.settings = void 0, this.tokenRegex = void 0, this.catcodes = void 0, this.input = e, this.settings = t, this.tokenRegex = new RegExp(zn, "g"), this.catcodes = { "%": 14, "~": 13 } } setCatcode(e, t) { this.catcodes[e] = t } lex() { const e = this.input, t = this.tokenRegex.lastIndex; if (t === e.length) return new Ir("EOF", new qr(this, t, t)); const r = this.tokenRegex.exec(e); if (null === r || r.index !== t) throw new n("Unexpected character: '" + e[t] + "'", new Ir(e[t], new qr(this, t, t + 1))); const o = r[6] || r[3] || (r[2] ? "\\ " : " "); if (14 === this.catcodes[o]) { const t = e.indexOf("\n", this.tokenRegex.lastIndex); return -1 === t ? 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"\\Uparrow"), Nr("\\Uarr", "\\Uparrow"), Nr("\\N", "\\mathbb{N}"), Nr("\\R", "\\mathbb{R}"), Nr("\\Z", "\\mathbb{Z}"), Nr("\\alef", "\\aleph"), Nr("\\alefsym", "\\aleph"), Nr("\\Alpha", "\\mathrm{A}"), Nr("\\Beta", "\\mathrm{B}"), Nr("\\bull", "\\bullet"), Nr("\\Chi", "\\mathrm{X}"), Nr("\\clubs", "\\clubsuit"), Nr("\\cnums", "\\mathbb{C}"), Nr("\\Complex", "\\mathbb{C}"), Nr("\\Dagger", "\\ddagger"), Nr("\\diamonds", "\\diamondsuit"), Nr("\\empty", "\\emptyset"), Nr("\\Epsilon", "\\mathrm{E}"), Nr("\\Eta", "\\mathrm{H}"),Nr("\\exist", "\\exists"),Nr("\\harr", "\\leftrightarrow"),Nr("\\hArr", "\\Leftrightarrow"),Nr("\\Harr", "\\Leftrightarrow"),Nr("\\hearts", "\\heartsuit"),Nr("\\image", "\\Im"),Nr("\\infin", "\\infty"),Nr("\\Iota", "\\mathrm{I}"),Nr("\\isin", "\\in"),Nr("\\Kappa", "\\mathrm{K}"),Nr("\\larr", "\\leftarrow"),Nr("\\lArr", "\\Leftarrow"),Nr("\\Larr", "\\Leftarrow"),Nr("\\lrarr", "\\leftrightarrow"),Nr("\\lrArr", "\\Leftrightarrow"),Nr("\\Lrarr", "\\Leftrightarrow"),Nr("\\Mu", "\\mathrm{M}"),Nr("\\natnums", "\\mathbb{N}"),Nr("\\Nu", "\\mathrm{N}"),Nr("\\Omicron", "\\mathrm{O}"),Nr("\\plusmn", "\\pm"),Nr("\\rarr", "\\rightarrow"),Nr("\\rArr", "\\Rightarrow"),Nr("\\Rarr", "\\Rightarrow"),Nr("\\real", "\\Re"),Nr("\\reals", "\\mathbb{R}"),Nr("\\Reals", "\\mathbb{R}"),Nr("\\Rho", "\\mathrm{P}"),Nr("\\sdot", "\\cdot"),Nr("\\sect", "\\S"),Nr("\\spades", "\\spadesuit"),Nr("\\sub", "\\subset"),Nr("\\sube", "\\subseteq"),Nr("\\supe", "\\supseteq"),Nr("\\Tau", "\\mathrm{T}"),Nr("\\thetasym", "\\vartheta"),Nr("\\weierp", "\\wp"),Nr("\\Zeta", "\\mathrm{Z}"),Nr("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}"),Nr("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}"),Nr("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),Nr("\\bra", "\\mathinner{\\langle{#1}|}"),Nr("\\ket", "\\mathinner{|{#1}\\rangle}"),Nr("\\braket", "\\mathinner{\\langle{#1}\\rangle}"),Nr("\\Bra", "\\left\\langle#1\\right|"),Nr("\\Ket", "\\left|#1\\right\\rangle"); const Hn = e => t => { const r = t.consumeArg().tokens, n = t.consumeArg().tokens, o = t.consumeArg().tokens, s = t.consumeArg().tokens, i = t.macros.get("|"), a = t.macros.get("\\|"); t.macros.beginGroup(); const l = t => r => { e && (r.macros.set("|", i), o.length && r.macros.set("\\|", a)); let s = t; if (!t && o.length) { "|" === r.future().text && (r.popToken(), s = !0) } return {tokens: s ? o : n, numArgs: 0} }; t.macros.set("|", l(!1)), o.length && t.macros.set("\\|", l(!0)); const h = t.consumeArg().tokens, c = t.expandTokens([...s, ...h, ...r]); return t.macros.endGroup(), {tokens: c.reverse(), numArgs: 0} }; Nr("\\bra@ket", Hn(!1)), Nr("\\bra@set", Hn(!0)), Nr("\\Braket", "\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"), Nr("\\Set", "\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"), Nr("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"), Nr("\\angln", "{\\angl n}"), Nr("\\blue", "\\textcolor{##6495ed}{#1}"), Nr("\\orange", "\\textcolor{##ffa500}{#1}"), Nr("\\pink", "\\textcolor{##ff00af}{#1}"), Nr("\\red", "\\textcolor{##df0030}{#1}"), Nr("\\green", "\\textcolor{##28ae7b}{#1}"), Nr("\\gray", "\\textcolor{gray}{#1}"), Nr("\\purple", "\\textcolor{##9d38bd}{#1}"), Nr("\\blueA", "\\textcolor{##ccfaff}{#1}"), Nr("\\blueB", "\\textcolor{##80f6ff}{#1}"), Nr("\\blueC", "\\textcolor{##63d9ea}{#1}"), Nr("\\blueD", "\\textcolor{##11accd}{#1}"), Nr("\\blueE", "\\textcolor{##0c7f99}{#1}"), Nr("\\tealA", "\\textcolor{##94fff5}{#1}"), Nr("\\tealB", "\\textcolor{##26edd5}{#1}"), Nr("\\tealC", "\\textcolor{##01d1c1}{#1}"), Nr("\\tealD", "\\textcolor{##01a995}{#1}"), Nr("\\tealE", "\\textcolor{##208170}{#1}"), Nr("\\greenA", "\\textcolor{##b6ffb0}{#1}"), Nr("\\greenB", "\\textcolor{##8af281}{#1}"), Nr("\\greenC", "\\textcolor{##74cf70}{#1}"), Nr("\\greenD", "\\textcolor{##1fab54}{#1}"), Nr("\\greenE", "\\textcolor{##0d923f}{#1}"), Nr("\\goldA", "\\textcolor{##ffd0a9}{#1}"), Nr("\\goldB", "\\textcolor{##ffbb71}{#1}"), Nr("\\goldC", "\\textcolor{##ff9c39}{#1}"), Nr("\\goldD", "\\textcolor{##e07d10}{#1}"), Nr("\\goldE", "\\textcolor{##a75a05}{#1}"), Nr("\\redA", "\\textcolor{##fca9a9}{#1}"), Nr("\\redB", "\\textcolor{##ff8482}{#1}"), Nr("\\redC", "\\textcolor{##f9685d}{#1}"), Nr("\\redD", "\\textcolor{##e84d39}{#1}"), Nr("\\redE", "\\textcolor{##bc2612}{#1}"), Nr("\\maroonA", "\\textcolor{##ffbde0}{#1}"), Nr("\\maroonB", "\\textcolor{##ff92c6}{#1}"), Nr("\\maroonC", "\\textcolor{##ed5fa6}{#1}"), Nr("\\maroonD", "\\textcolor{##ca337c}{#1}"), Nr("\\maroonE", "\\textcolor{##9e034e}{#1}"), Nr("\\purpleA", "\\textcolor{##ddd7ff}{#1}"), Nr("\\purpleB", "\\textcolor{##c6b9fc}{#1}"), Nr("\\purpleC", "\\textcolor{##aa87ff}{#1}"), Nr("\\purpleD", "\\textcolor{##7854ab}{#1}"), Nr("\\purpleE", "\\textcolor{##543b78}{#1}"), Nr("\\mintA", "\\textcolor{##f5f9e8}{#1}"), Nr("\\mintB", "\\textcolor{##edf2df}{#1}"), Nr("\\mintC", "\\textcolor{##e0e5cc}{#1}"), Nr("\\grayA", "\\textcolor{##f6f7f7}{#1}"), Nr("\\grayB", "\\textcolor{##f0f1f2}{#1}"), Nr("\\grayC", "\\textcolor{##e3e5e6}{#1}"), Nr("\\grayD", "\\textcolor{##d6d8da}{#1}"), Nr("\\grayE", "\\textcolor{##babec2}{#1}"), Nr("\\grayF", "\\textcolor{##888d93}{#1}"), Nr("\\grayG", "\\textcolor{##626569}{#1}"), Nr("\\grayH", "\\textcolor{##3b3e40}{#1}"), Nr("\\grayI", "\\textcolor{##21242c}{#1}"), Nr("\\kaBlue", "\\textcolor{##314453}{#1}"), Nr("\\kaGreen", "\\textcolor{##71B307}{#1}"); const On = {"^": !0, _: !0, "\\limits": !0, "\\nolimits": !0}; class En { constructor(e, t, 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 = t, this.expansionCount = 0, this.feed(e), this.macros = new Tn(Bn, t.macros), this.mode = r, this.stack = [] } feed(e) { this.lexer = new An(e, this.settings) } switchMode(e) { this.mode = e } beginGroup() { this.macros.beginGroup() } endGroup() { this.macros.endGroup() } endGroups() { this.macros.endGroups() } future() { return 0 === this.stack.length && this.pushToken(this.lexer.lex()), this.stack[this.stack.length - 1] } popToken() { return this.future(), this.stack.pop() } pushToken(e) { this.stack.push(e) } pushTokens(e) { this.stack.push(...e) } scanArgument(e) { let t, r, n; if (e) { if (this.consumeSpaces(), "[" !== this.future().text) return null; t = this.popToken(), ({tokens: n, end: r} = this.consumeArg(["]"])) } else ({tokens: n, start: t, end: r} = this.consumeArg()); return this.pushToken(new Ir("EOF", r.loc)), this.pushTokens(n), t.range(r, "") } consumeSpaces() { for (; ;) { if (" " !== this.future().text) break; this.stack.pop() } } consumeArg(e) { const t = [], r = e && e.length > 0; r || this.consumeSpaces(); const o = this.future(); let s, i = 0, a = 0; do { if (s = this.popToken(), t.push(s), "{" === s.text) ++i; else if ("}" === s.text) { if (--i, -1 === i) throw new n("Extra }", s) } else if ("EOF" === s.text) throw new n("Unexpected end of input in a macro argument, expected '" + (e && r ? e[a] : "}") + "'", s); if (e && r) if ((0 === i || 1 === i && "{" === e[a]) && s.text === e[a]) { if (++a, a === e.length) { t.splice(-a, a); break } } else a = 0 } while (0 !== i || r); return "{" === o.text && "}" === t[t.length - 1].text && (t.pop(), t.shift()), t.reverse(), { tokens: t, start: o, end: s } } consumeArgs(e, t) { if (t) { if (t.length !== e + 1) throw new n("The length of delimiters doesn't match the number of args!"); const r = t[0]; for (let e = 0; e < r.length; e++) { const t = this.popToken(); if (r[e] !== t.text) throw new n("Use of the macro doesn't match its definition", t) } } const r = []; for (let n = 0; n < e; n++) r.push(this.consumeArg(t && t[n + 1]).tokens); return r } countExpansion(e) { if (this.expansionCount += e, this.expansionCount > this.settings.maxExpand) throw new n("Too many expansions: infinite loop or need to increase maxExpand setting") } expandOnce(e) { const t = this.popToken(), r = t.text, o = t.noexpand ? null : this._getExpansion(r); if (null == o || e && o.unexpandable) { if (e && null == o && "\\" === r[0] && !this.isDefined(r)) throw new n("Undefined control sequence: " + r); return this.pushToken(t), !1 } this.countExpansion(1); let s = o.tokens; const i = this.consumeArgs(o.numArgs, o.delimiters); if (o.numArgs) { s = s.slice(); for (let e = s.length - 1; e >= 0; --e) { let t = s[e]; if ("#" === t.text) { if (0 === e) throw new n("Incomplete placeholder at end of macro body", t); if (t = s[--e], "#" === t.text) s.splice(e + 1, 1); else { if (!/^[1-9]$/.test(t.text)) throw new n("Not a valid argument number", t); s.splice(e, 2, ...i[+t.text - 1]) } } } } return this.pushTokens(s), s.length } expandAfterFuture() { return this.expandOnce(), this.future() } expandNextToken() { for (; ;) if (!1 === this.expandOnce()) { const e = this.stack.pop(); return e.treatAsRelax && (e.text = "\\relax"), e } throw new Error } expandMacro(e) { return this.macros.has(e) ? this.expandTokens([new Ir(e)]) : void 0 } expandTokens(e) { const t = [], r = this.stack.length; for (this.pushTokens(e); this.stack.length > r;) if (!1 === this.expandOnce(!0)) { const e = this.stack.pop(); e.treatAsRelax && (e.noexpand = !1, e.treatAsRelax = !1), t.push(e) } return this.countExpansion(t.length), t } expandMacroAsText(e) { const t = this.expandMacro(e); return t ? t.map((e => e.text)).join("") : t } _getExpansion(e) { const t = this.macros.get(e); if (null == t) return t; if (1 === e.length) { const t = this.lexer.catcodes[e]; if (null != t && 13 !== t) return } const r = "function" == typeof t ? t(this) : t; if ("string" == typeof r) { let e = 0; if (-1 !== r.indexOf("#")) { const t = r.replace(/##/g, ""); for (; -1 !== t.indexOf("#" + (e + 1));) ++e } const t = new An(r, this.settings), n = []; let o = t.lex(); for (; "EOF" !== o.text;) n.push(o), o = t.lex(); n.reverse(); return {tokens: n, numArgs: e} } return r } isDefined(e) { return this.macros.has(e) || wn.hasOwnProperty(e) || se.math.hasOwnProperty(e) || se.text.hasOwnProperty(e) || On.hasOwnProperty(e) } isExpandable(e) { const t = this.macros.get(e); return null != t ? "string" == typeof t || "function" == typeof t || !t.unexpandable : wn.hasOwnProperty(e) && !wn[e].primitive } } const Ln = /^[\u208a\u208b\u208c\u208d\u208e\u2080\u2081\u2082\u2083\u2084\u2085\u2086\u2087\u2088\u2089\u2090\u2091\u2095\u1d62\u2c7c\u2096\u2097\u2098\u2099\u2092\u209a\u1d63\u209b\u209c\u1d64\u1d65\u2093\u1d66\u1d67\u1d68\u1d69\u1d6a]/, Dn = Object.freeze({ "\u208a": "+", "\u208b": "-", "\u208c": "=", "\u208d": "(", "\u208e": ")", "\u2080": "0", "\u2081": "1", "\u2082": "2", "\u2083": "3", "\u2084": "4", "\u2085": "5", "\u2086": "6", "\u2087": "7", "\u2088": "8", "\u2089": "9", "\u2090": "a", "\u2091": "e", "\u2095": "h", "\u1d62": "i", "\u2c7c": "j", "\u2096": "k", "\u2097": "l", "\u2098": "m", "\u2099": "n", "\u2092": "o", "\u209a": "p", "\u1d63": "r", "\u209b": "s", "\u209c": "t", "\u1d64": "u", "\u1d65": "v", "\u2093": "x", "\u1d66": "\u03b2", "\u1d67": "\u03b3", "\u1d68": "\u03c1", "\u1d69": "\u03d5", "\u1d6a": "\u03c7", "\u207a": "+", "\u207b": "-", "\u207c": "=", "\u207d": "(", "\u207e": ")", "\u2070": "0", "\xb9": "1", "\xb2": "2", "\xb3": "3", "\u2074": "4", "\u2075": "5", "\u2076": "6", "\u2077": "7", "\u2078": "8", "\u2079": "9", "\u1d2c": "A", "\u1d2e": "B", "\u1d30": "D", "\u1d31": "E", "\u1d33": "G", "\u1d34": "H", "\u1d35": "I", "\u1d36": "J", "\u1d37": "K", "\u1d38": "L", "\u1d39": "M", "\u1d3a": "N", "\u1d3c": "O", "\u1d3e": "P", "\u1d3f": "R", "\u1d40": "T", "\u1d41": "U", "\u2c7d": "V", "\u1d42": "W", "\u1d43": "a", "\u1d47": "b", "\u1d9c": "c", "\u1d48": "d", "\u1d49": "e", "\u1da0": "f", "\u1d4d": "g", "\u02b0": "h", "\u2071": "i", "\u02b2": "j", "\u1d4f": "k", "\u02e1": "l", "\u1d50": "m", "\u207f": "n", "\u1d52": "o", "\u1d56": "p", "\u02b3": "r", "\u02e2": "s", "\u1d57": "t", "\u1d58": "u", "\u1d5b": "v", "\u02b7": "w", "\u02e3": "x", "\u02b8": "y", "\u1dbb": "z", "\u1d5d": "\u03b2", "\u1d5e": "\u03b3", "\u1d5f": "\u03b4", "\u1d60": "\u03d5", "\u1d61": "\u03c7", "\u1dbf": "\u03b8" }), Vn = { "\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"}, "\u0327": {text: "\\c"} }, Pn = { "\xe1": "a\u0301", "\xe0": "a\u0300", "\xe4": "a\u0308", "\u01df": "a\u0308\u0304", "\xe3": "a\u0303", "\u0101": "a\u0304", "\u0103": "a\u0306", "\u1eaf": "a\u0306\u0301", "\u1eb1": "a\u0306\u0300", "\u1eb5": "a\u0306\u0303", "\u01ce": "a\u030c", "\xe2": "a\u0302", "\u1ea5": "a\u0302\u0301", "\u1ea7": "a\u0302\u0300", "\u1eab": "a\u0302\u0303", "\u0227": "a\u0307", "\u01e1": "a\u0307\u0304", "\xe5": "a\u030a", "\u01fb": "a\u030a\u0301", "\u1e03": "b\u0307", "\u0107": "c\u0301", "\u1e09": "c\u0327\u0301", "\u010d": "c\u030c", "\u0109": "c\u0302", "\u010b": "c\u0307", "\xe7": "c\u0327", "\u010f": "d\u030c", "\u1e0b": "d\u0307", "\u1e11": "d\u0327", "\xe9": "e\u0301", "\xe8": "e\u0300", "\xeb": "e\u0308", "\u1ebd": "e\u0303", "\u0113": "e\u0304", "\u1e17": "e\u0304\u0301", "\u1e15": "e\u0304\u0300", "\u0115": "e\u0306", "\u1e1d": "e\u0327\u0306", "\u011b": "e\u030c", "\xea": "e\u0302", "\u1ebf": "e\u0302\u0301", "\u1ec1": "e\u0302\u0300", "\u1ec5": "e\u0302\u0303", "\u0117": "e\u0307", "\u0229": "e\u0327", "\u1e1f": "f\u0307", "\u01f5": "g\u0301", "\u1e21": "g\u0304", "\u011f": "g\u0306", "\u01e7": "g\u030c", "\u011d": "g\u0302", "\u0121": "g\u0307", "\u0123": "g\u0327", "\u1e27": "h\u0308", "\u021f": "h\u030c", "\u0125": "h\u0302", "\u1e23": "h\u0307", "\u1e29": "h\u0327", "\xed": "i\u0301", "\xec": "i\u0300", "\xef": "i\u0308", "\u1e2f": "i\u0308\u0301", "\u0129": "i\u0303", "\u012b": "i\u0304", "\u012d": "i\u0306", "\u01d0": "i\u030c", "\xee": "i\u0302", "\u01f0": "j\u030c", "\u0135": "j\u0302", "\u1e31": "k\u0301", "\u01e9": "k\u030c", "\u0137": "k\u0327", "\u013a": "l\u0301", "\u013e": "l\u030c", "\u013c": "l\u0327", "\u1e3f": "m\u0301", "\u1e41": "m\u0307", "\u0144": "n\u0301", "\u01f9": "n\u0300", "\xf1": "n\u0303", "\u0148": "n\u030c", "\u1e45": "n\u0307", "\u0146": "n\u0327", "\xf3": "o\u0301", "\xf2": "o\u0300", "\xf6": "o\u0308", "\u022b": "o\u0308\u0304", "\xf5": "o\u0303", "\u1e4d": "o\u0303\u0301", "\u1e4f": "o\u0303\u0308", "\u022d": "o\u0303\u0304", "\u014d": "o\u0304", "\u1e53": "o\u0304\u0301", "\u1e51": "o\u0304\u0300", "\u014f": "o\u0306", "\u01d2": "o\u030c", "\xf4": "o\u0302", "\u1ed1": "o\u0302\u0301", "\u1ed3": "o\u0302\u0300", "\u1ed7": "o\u0302\u0303", "\u022f": "o\u0307", "\u0231": "o\u0307\u0304", "\u0151": "o\u030b", "\u1e55": "p\u0301", "\u1e57": "p\u0307", "\u0155": "r\u0301", "\u0159": "r\u030c", "\u1e59": "r\u0307", "\u0157": "r\u0327", "\u015b": "s\u0301", "\u1e65": "s\u0301\u0307", "\u0161": "s\u030c", "\u1e67": "s\u030c\u0307", "\u015d": "s\u0302", "\u1e61": "s\u0307", "\u015f": "s\u0327", "\u1e97": "t\u0308", "\u0165": "t\u030c", "\u1e6b": "t\u0307", "\u0163": "t\u0327", "\xfa": "u\u0301", "\xf9": "u\u0300", "\xfc": "u\u0308", "\u01d8": "u\u0308\u0301", "\u01dc": "u\u0308\u0300", "\u01d6": "u\u0308\u0304", "\u01da": "u\u0308\u030c", "\u0169": "u\u0303", "\u1e79": "u\u0303\u0301", "\u016b": "u\u0304", "\u1e7b": "u\u0304\u0308", "\u016d": "u\u0306", "\u01d4": "u\u030c", "\xfb": "u\u0302", "\u016f": "u\u030a", "\u0171": "u\u030b", "\u1e7d": "v\u0303", "\u1e83": "w\u0301", "\u1e81": "w\u0300", "\u1e85": "w\u0308", "\u0175": "w\u0302", "\u1e87": "w\u0307", "\u1e98": "w\u030a", "\u1e8d": "x\u0308", "\u1e8b": "x\u0307", "\xfd": "y\u0301", "\u1ef3": "y\u0300", "\xff": "y\u0308", "\u1ef9": "y\u0303", "\u0233": "y\u0304", "\u0177": "y\u0302", "\u1e8f": "y\u0307", "\u1e99": "y\u030a", "\u017a": "z\u0301", "\u017e": "z\u030c", "\u1e91": "z\u0302", "\u017c": "z\u0307", "\xc1": "A\u0301", "\xc0": "A\u0300", "\xc4": "A\u0308", "\u01de": "A\u0308\u0304", "\xc3": "A\u0303", "\u0100": "A\u0304", "\u0102": "A\u0306", "\u1eae": "A\u0306\u0301", "\u1eb0": "A\u0306\u0300", "\u1eb4": "A\u0306\u0303", "\u01cd": "A\u030c", "\xc2": "A\u0302", "\u1ea4": "A\u0302\u0301", "\u1ea6": "A\u0302\u0300", "\u1eaa": "A\u0302\u0303", "\u0226": "A\u0307", "\u01e0": "A\u0307\u0304", "\xc5": "A\u030a", "\u01fa": "A\u030a\u0301", "\u1e02": "B\u0307", "\u0106": "C\u0301", "\u1e08": "C\u0327\u0301", "\u010c": "C\u030c", "\u0108": "C\u0302", "\u010a": "C\u0307", "\xc7": "C\u0327", "\u010e": "D\u030c", "\u1e0a": "D\u0307", "\u1e10": "D\u0327", "\xc9": "E\u0301", "\xc8": "E\u0300", "\xcb": "E\u0308", "\u1ebc": "E\u0303", "\u0112": "E\u0304", "\u1e16": "E\u0304\u0301", "\u1e14": "E\u0304\u0300", "\u0114": "E\u0306", "\u1e1c": "E\u0327\u0306", "\u011a": "E\u030c", "\xca": "E\u0302", "\u1ebe": "E\u0302\u0301", "\u1ec0": "E\u0302\u0300", "\u1ec4": "E\u0302\u0303", "\u0116": "E\u0307", "\u0228": "E\u0327", "\u1e1e": "F\u0307", "\u01f4": "G\u0301", "\u1e20": "G\u0304", "\u011e": "G\u0306", "\u01e6": "G\u030c", "\u011c": "G\u0302", "\u0120": "G\u0307", "\u0122": "G\u0327", "\u1e26": "H\u0308", "\u021e": "H\u030c", "\u0124": "H\u0302", "\u1e22": "H\u0307", "\u1e28": "H\u0327", "\xcd": "I\u0301", "\xcc": "I\u0300", "\xcf": "I\u0308", "\u1e2e": "I\u0308\u0301", "\u0128": "I\u0303", "\u012a": "I\u0304", "\u012c": "I\u0306", "\u01cf": "I\u030c", "\xce": "I\u0302", "\u0130": "I\u0307", "\u0134": "J\u0302", "\u1e30": "K\u0301", "\u01e8": "K\u030c", "\u0136": "K\u0327", "\u0139": "L\u0301", "\u013d": "L\u030c", "\u013b": "L\u0327", "\u1e3e": "M\u0301", "\u1e40": "M\u0307", "\u0143": "N\u0301", "\u01f8": "N\u0300", "\xd1": "N\u0303", "\u0147": "N\u030c", "\u1e44": "N\u0307", "\u0145": "N\u0327", "\xd3": "O\u0301", "\xd2": "O\u0300", "\xd6": "O\u0308", "\u022a": "O\u0308\u0304", "\xd5": "O\u0303", "\u1e4c": "O\u0303\u0301", "\u1e4e": "O\u0303\u0308", "\u022c": "O\u0303\u0304", "\u014c": "O\u0304", "\u1e52": "O\u0304\u0301", "\u1e50": "O\u0304\u0300", "\u014e": "O\u0306", "\u01d1": "O\u030c", "\xd4": "O\u0302", "\u1ed0": "O\u0302\u0301", "\u1ed2": "O\u0302\u0300", "\u1ed6": "O\u0302\u0303", "\u022e": "O\u0307", "\u0230": "O\u0307\u0304", "\u0150": "O\u030b", "\u1e54": "P\u0301", "\u1e56": "P\u0307", "\u0154": "R\u0301", "\u0158": "R\u030c", "\u1e58": "R\u0307", "\u0156": "R\u0327", "\u015a": "S\u0301", "\u1e64": "S\u0301\u0307", "\u0160": "S\u030c", "\u1e66": "S\u030c\u0307", "\u015c": "S\u0302", "\u1e60": "S\u0307", "\u015e": "S\u0327", "\u0164": "T\u030c", "\u1e6a": "T\u0307", "\u0162": "T\u0327", "\xda": "U\u0301", "\xd9": "U\u0300", "\xdc": "U\u0308", "\u01d7": "U\u0308\u0301", "\u01db": "U\u0308\u0300", "\u01d5": "U\u0308\u0304", "\u01d9": "U\u0308\u030c", "\u0168": "U\u0303", "\u1e78": "U\u0303\u0301", "\u016a": "U\u0304", "\u1e7a": "U\u0304\u0308", "\u016c": "U\u0306", "\u01d3": "U\u030c", "\xdb": "U\u0302", "\u016e": "U\u030a", "\u0170": "U\u030b", "\u1e7c": "V\u0303", "\u1e82": "W\u0301", "\u1e80": "W\u0300", "\u1e84": "W\u0308", "\u0174": "W\u0302", "\u1e86": "W\u0307", "\u1e8c": "X\u0308", "\u1e8a": "X\u0307", "\xdd": "Y\u0301", "\u1ef2": "Y\u0300", "\u0178": "Y\u0308", "\u1ef8": "Y\u0303", "\u0232": "Y\u0304", "\u0176": "Y\u0302", "\u1e8e": "Y\u0307", "\u0179": "Z\u0301", "\u017d": "Z\u030c", "\u1e90": "Z\u0302", "\u017b": "Z\u0307", "\u03ac": "\u03b1\u0301", "\u1f70": "\u03b1\u0300", "\u1fb1": "\u03b1\u0304", "\u1fb0": "\u03b1\u0306", "\u03ad": "\u03b5\u0301", "\u1f72": "\u03b5\u0300", "\u03ae": "\u03b7\u0301", "\u1f74": "\u03b7\u0300", "\u03af": "\u03b9\u0301", "\u1f76": "\u03b9\u0300", "\u03ca": "\u03b9\u0308", "\u0390": "\u03b9\u0308\u0301", "\u1fd2": "\u03b9\u0308\u0300", "\u1fd1": "\u03b9\u0304", "\u1fd0": "\u03b9\u0306", "\u03cc": "\u03bf\u0301", "\u1f78": "\u03bf\u0300", "\u03cd": "\u03c5\u0301", "\u1f7a": "\u03c5\u0300", "\u03cb": "\u03c5\u0308", "\u03b0": "\u03c5\u0308\u0301", "\u1fe2": "\u03c5\u0308\u0300", "\u1fe1": "\u03c5\u0304", "\u1fe0": "\u03c5\u0306", "\u03ce": "\u03c9\u0301", "\u1f7c": "\u03c9\u0300", "\u038e": "\u03a5\u0301", "\u1fea": "\u03a5\u0300", "\u03ab": "\u03a5\u0308", "\u1fe9": "\u03a5\u0304", "\u1fe8": "\u03a5\u0306", "\u038f": "\u03a9\u0301", "\u1ffa": "\u03a9\u0300" }; class Fn { constructor(e, t) { 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 En(e, t, this.mode), this.settings = t, this.leftrightDepth = 0 } expect(e, t) { if (void 0 === t && (t = !0), this.fetch().text !== e) throw new n("Expected '" + e + "', got '" + this.fetch().text + "'", this.fetch()); t && this.consume() } consume() { this.nextToken = null } fetch() { return null == this.nextToken && (this.nextToken = this.gullet.expandNextToken()), this.nextToken } switchMode(e) { this.mode = e, this.gullet.switchMode(e) } parse() { this.settings.globalGroup || this.gullet.beginGroup(), this.settings.colorIsTextColor && this.gullet.macros.set("\\color", "\\textcolor"); try { const e = this.parseExpression(!1); return this.expect("EOF"), this.settings.globalGroup || this.gullet.endGroup(), e } finally { this.gullet.endGroups() } } subparse(e) { const t = this.nextToken; this.consume(), this.gullet.pushToken(new Ir("}")), this.gullet.pushTokens(e); const r = this.parseExpression(!1); return this.expect("}"), this.nextToken = t, r } parseExpression(e, t) { const r = []; for (; ;) { "math" === this.mode && this.consumeSpaces(); const n = this.fetch(); if (-1 !== Fn.endOfExpression.indexOf(n.text)) break; if (t && n.text === t) break; if (e && wn[n.text] && wn[n.text].infix) break; const o = this.parseAtom(t); if (!o) break; "internal" !== o.type && r.push(o) } return "text" === this.mode && this.formLigatures(r), this.handleInfixNodes(r) } handleInfixNodes(e) { let t, r = -1; for (let o = 0; o < e.length; o++) if ("infix" === e[o].type) { if (-1 !== r) throw new n("only one infix operator per group", e[o].token); r = o, t = e[o].replaceWith } if (-1 !== r && t) { let n, o; const s = e.slice(0, r), i = e.slice(r + 1); let a; return n = 1 === s.length && "ordgroup" === s[0].type ? s[0] : { type: "ordgroup", mode: this.mode, body: s }, o = 1 === i.length && "ordgroup" === i[0].type ? i[0] : { type: "ordgroup", mode: this.mode, body: i }, a = "\\\\abovefrac" === t ? this.callFunction(t, [n, e[r], o], []) : this.callFunction(t, [n, o], []), [a] } return e } handleSupSubscript(e) { const t = this.fetch(), r = t.text; let o; this.consume(), this.consumeSpaces(); do { var s; o = this.parseGroup(e) } while ("internal" === (null == (s = o) ? void 0 : s.type)); if (!o) throw new n("Expected group after '" + r + "'", t); return o } formatUnsupportedCmd(e) { const t = []; for (let r = 0; r < e.length; r++) t.push({type: "textord", mode: "text", text: e[r]}); const r = {type: "text", mode: this.mode, body: t}; return {type: "color", mode: this.mode, color: this.settings.errorColor, body: [r]} } parseAtom(e) { const t = this.parseGroup("atom", e); if ("internal" === (null == t ? void 0 : t.type)) return t; if ("text" === this.mode) return t; let r, o; for (; ;) { this.consumeSpaces(); const e = this.fetch(); if ("\\limits" === e.text || "\\nolimits" === e.text) { if (t && "op" === t.type) { const r = "\\limits" === e.text; t.limits = r, t.alwaysHandleSupSub = !0 } else { if (!t || "operatorname" !== t.type) throw new n("Limit controls must follow a math operator", e); t.alwaysHandleSupSub && (t.limits = "\\limits" === e.text) } this.consume() } else if ("^" === e.text) { if (r) throw new n("Double superscript", e); r = this.handleSupSubscript("superscript") } else if ("_" === e.text) { if (o) throw new n("Double subscript", e); o = this.handleSupSubscript("subscript") } else if ("'" === e.text) { if (r) throw new n("Double superscript", e); const t = {type: "textord", mode: this.mode, text: "\\prime"}, o = [t]; for (this.consume(); "'" === this.fetch().text;) o.push(t), this.consume(); "^" === this.fetch().text && o.push(this.handleSupSubscript("superscript")), r = { type: "ordgroup", mode: this.mode, body: o } } else { if (!Dn[e.text]) break; { const t = Ln.test(e.text), n = []; for (n.push(new Ir(Dn[e.text])), this.consume(); ;) { const e = this.fetch().text; if (!Dn[e]) break; if (Ln.test(e) !== t) break; n.unshift(new Ir(Dn[e])), this.consume() } const s = this.subparse(n); t ? o = {type: "ordgroup", mode: "math", body: s} : r = { type: "ordgroup", mode: "math", body: s } } } } return r || o ? {type: "supsub", mode: this.mode, base: t, sup: r, sub: o} : t } parseFunction(e, t) { const r = this.fetch(), o = r.text, s = wn[o]; if (!s) return null; if (this.consume(), t && "atom" !== t && !s.allowedInArgument) throw new n("Got function '" + o + "' with no arguments" + (t ? " as " + t : ""), r); if ("text" === this.mode && !s.allowedInText) throw new n("Can't use function '" + o + "' in text mode", r); if ("math" === this.mode && !1 === s.allowedInMath) throw new n("Can't use function '" + o + "' in math mode", r); const {args: i, optArgs: a} = this.parseArguments(o, s); return this.callFunction(o, i, a, r, e) } callFunction(e, t, r, o, s) { const i = {funcName: e, parser: this, token: o, breakOnTokenText: s}, a = wn[e]; if (a && a.handler) return a.handler(i, t, r); throw new n("No function handler for " + e) } parseArguments(e, t) { const r = t.numArgs + t.numOptionalArgs; if (0 === r) return {args: [], optArgs: []}; const o = [], s = []; for (let i = 0; i < r; i++) { let r = t.argTypes && t.argTypes[i]; const a = i < t.numOptionalArgs; (t.primitive && null == r || "sqrt" === t.type && 1 === i && null == s[0]) && (r = "primitive"); const l = this.parseGroupOfType("argument to '" + e + "'", r, a); if (a) s.push(l); else { if (null == l) throw new n("Null argument, please report this as a bug"); o.push(l) } } return {args: o, optArgs: s} } parseGroupOfType(e, t, r) { switch (t) { case"color": return this.parseColorGroup(r); case"size": return this.parseSizeGroup(r); case"url": return this.parseUrlGroup(r); case"math": case"text": return this.parseArgumentGroup(r, t); case"hbox": { const e = this.parseArgumentGroup(r, "text"); return null != e ? {type: "styling", mode: e.mode, body: [e], style: "text"} : null } case"raw": { const e = this.parseStringGroup("raw", r); return null != e ? {type: "raw", mode: "text", string: e.text} : null } case"primitive": { if (r) throw new n("A primitive argument cannot be optional"); const t = this.parseGroup(e); if (null == t) throw new n("Expected group as " + e, this.fetch()); return t } case"original": case null: case void 0: return this.parseArgumentGroup(r); default: throw new n("Unknown group type as " + e, this.fetch()) } } consumeSpaces() { for (; " " === this.fetch().text;) this.consume() } parseStringGroup(e, t) { const r = this.gullet.scanArgument(t); if (null == r) return null; let n, o = ""; for (; "EOF" !== (n = this.fetch()).text;) o += n.text, this.consume(); return this.consume(), r.text = o, r } parseRegexGroup(e, t) { const r = this.fetch(); let o, s = r, i = ""; for (; "EOF" !== (o = this.fetch()).text && e.test(i + o.text);) s = o, i += s.text, this.consume(); if ("" === i) throw new n("Invalid " + t + ": '" + r.text + "'", r); return r.range(s, i) } parseColorGroup(e) { const t = this.parseStringGroup("color", e); if (null == t) return null; const r = /^(#[a-f0-9]{3}|#?[a-f0-9]{6}|[a-z]+)$/i.exec(t.text); if (!r) throw new n("Invalid color: '" + t.text + "'", t); let o = r[0]; return /^[0-9a-f]{6}$/i.test(o) && (o = "#" + o), {type: "color-token", mode: this.mode, color: o} } parseSizeGroup(e) { let t, r = !1; if (this.gullet.consumeSpaces(), t = e || "{" === this.gullet.future().text ? this.parseStringGroup("size", e) : this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2} *$/, "size"), !t) return null; e || 0 !== t.text.length || (t.text = "0pt", r = !0); const o = /([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text); if (!o) throw new n("Invalid size: '" + t.text + "'", t); const s = {number: +(o[1] + o[2]), unit: o[3]}; if (!V(s)) throw new n("Invalid unit: '" + s.unit + "'", t); return {type: "size", mode: this.mode, value: s, isBlank: r} } parseUrlGroup(e) { this.gullet.lexer.setCatcode("%", 13), this.gullet.lexer.setCatcode("~", 12); const t = this.parseStringGroup("url", e); if (this.gullet.lexer.setCatcode("%", 14), this.gullet.lexer.setCatcode("~", 13), null == t) return null; const r = t.text.replace(/\\([#$%&~_^{}])/g, "$1"); return {type: "url", mode: this.mode, url: r} } parseArgumentGroup(e, t) { const r = this.gullet.scanArgument(e); if (null == r) return null; const n = this.mode; t && this.switchMode(t), this.gullet.beginGroup(); const o = this.parseExpression(!1, "EOF"); this.expect("EOF"), this.gullet.endGroup(); const s = {type: "ordgroup", mode: this.mode, loc: r.loc, body: o}; return t && this.switchMode(n), s } parseGroup(e, t) { const r = this.fetch(), o = r.text; let s; if ("{" === o || "\\begingroup" === o) { this.consume(); const e = "{" === o ? "}" : "\\endgroup"; this.gullet.beginGroup(); const t = this.parseExpression(!1, e), n = this.fetch(); this.expect(e), this.gullet.endGroup(), s = { type: "ordgroup", mode: this.mode, loc: qr.range(r, n), body: t, semisimple: "\\begingroup" === o || void 0 } } else if (s = this.parseFunction(t, e) || this.parseSymbol(), null == s && "\\" === o[0] && !On.hasOwnProperty(o)) { if (this.settings.throwOnError) throw new n("Undefined control sequence: " + o, r); s = this.formatUnsupportedCmd(o), this.consume() } return s } formLigatures(e) { let t = e.length - 1; for (let r = 0; r < t; ++r) { const n = e[r], o = n.text; "-" === o && "-" === e[r + 1].text && (r + 1 < t && "-" === e[r + 2].text ? (e.splice(r, 3, { type: "textord", mode: "text", loc: qr.range(n, e[r + 2]), text: "---" }), t -= 2) : (e.splice(r, 2, { type: "textord", mode: "text", loc: qr.range(n, e[r + 1]), text: "--" }), t -= 1)), "'" !== o && "`" !== o || e[r + 1].text !== o || (e.splice(r, 2, { type: "textord", mode: "text", loc: qr.range(n, e[r + 1]), text: o + o }), t -= 1) } } parseSymbol() { const e = this.fetch(); let t = e.text; if (/^\\verb[^a-zA-Z]/.test(t)) { this.consume(); let e = t.slice(5); const r = "*" === e.charAt(0); if (r && (e = e.slice(1)), e.length < 2 || e.charAt(0) !== e.slice(-1)) throw new n("\\verb assertion failed --\n please report what input caused this bug"); return e = e.slice(1, -1), {type: "verb", mode: "text", body: e, star: r} } Pn.hasOwnProperty(t[0]) && !se[this.mode][t[0]] && (this.settings.strict && "math" === this.mode && this.settings.reportNonstrict("unicodeTextInMathMode", 'Accented Unicode text character "' + t[0] + '" used in math mode', e), t = Pn[t[0]] + t.slice(1)); const r = Mn.exec(t); let o; if (r && (t = t.substring(0, r.index), "i" === t ? t = "\u0131" : "j" === t && (t = "\u0237")), se[this.mode][t]) { this.settings.strict && "math" === this.mode && Te.indexOf(t) >= 0 && this.settings.reportNonstrict("unicodeTextInMathMode", 'Latin-1/Unicode text character "' + t[0] + '" used in math mode', e); const r = se[this.mode][t].group, n = qr.range(e); let s; if (re.hasOwnProperty(r)) { const e = r; s = {type: "atom", mode: this.mode, family: e, loc: n, text: t} } else s = {type: r, mode: this.mode, loc: n, text: t}; o = s } else { if (!(t.charCodeAt(0) >= 128)) return null; this.settings.strict && (S(t.charCodeAt(0)) ? "math" === this.mode && this.settings.reportNonstrict("unicodeTextInMathMode", 'Unicode text character "' + t[0] + '" used in math mode', e) : this.settings.reportNonstrict("unknownSymbol", 'Unrecognized Unicode character "' + t[0] + '" (' + t.charCodeAt(0) + ")", e)), o = { type: "textord", mode: "text", loc: qr.range(e), text: t } } if (this.consume(), r) for (let t = 0; t < r[0].length; t++) { const s = r[0][t]; if (!Vn[s]) throw new n("Unknown accent ' " + s + "'", e); const i = Vn[s][this.mode] || Vn[s].text; if (!i) throw new n("Accent " + s + " unsupported in " + this.mode + " mode", e); o = { type: "accent", mode: this.mode, loc: qr.range(e), label: i, isStretchy: !1, isShifty: !0, base: o } } return o } } Fn.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"]; var Gn = function (e, t) { if (!("string" == typeof e || e instanceof String)) throw new TypeError("KaTeX can only parse string typed expression"); const r = new Fn(e, t); delete r.gullet.macros.current["\\df@tag"]; let o = r.parse(); if (delete r.gullet.macros.current["\\current@color"], delete r.gullet.macros.current["\\color"], r.gullet.macros.get("\\df@tag")) { if (!t.displayMode) throw new n("\\tag works only in display equations"); o = [{type: "tag", mode: "text", body: o, tag: r.subparse([new Ir("\\df@tag")])}] } return o }; let Un = function (e, t, r) { t.textContent = ""; const n = Xn(e, r).toNode(); t.appendChild(n) }; "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."), Un = function () { throw new n("KaTeX doesn't work in quirks mode.") }); const Yn = function (e, t, r) { if (r.throwOnError || !(e instanceof n)) throw e; const o = Pe.makeSpan(["katex-error"], [new K(t)]); return o.setAttribute("title", e.toString()), o.setAttribute("style", "color:" + r.errorColor), o }, Xn = function (e, t) { const r = new m(t); try { const t = Gn(e, r); return Tt(t, e, r) } catch (t) { return Yn(t, e, r) } }; var Wn = { version: "0.16.22", render: Un, renderToString: function (e, t) { return Xn(e, t).toMarkup() }, ParseError: n, SETTINGS_SCHEMA: h, __parse: function (e, t) { const r = new m(t); return Gn(e, r) }, __renderToDomTree: Xn, __renderToHTMLTree: function (e, t) { const r = new m(t); try { return function (e, t, r) { const n = pt(e, zt(r)), o = Pe.makeSpan(["katex"], [n]); return At(o, r) }(Gn(e, r), 0, r) } catch (t) { return Yn(t, e, r) } }, __setFontMetrics: function (e, t) { T[e] = t }, __defineSymbol: ie, __defineFunction: $e, __defineMacro: Nr, __domTree: {Span: _, Anchor: j, SymbolNode: K, SvgNode: J, PathNode: Q, LineNode: ee} }; return t = t.default }() }));