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"" + this.character + " " : ' but got " + String(e) + ".") }(ht(e, t)), e.base = n) : (n = qt(e, "accent"), r = n.base); const s = ht(r, t.havingCrampedStyle()); let i = 0; if (n.isShifty && l.isCharacterBox(r)) { const e = l.getBaseElem(r); i = ee(ht(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 = Nt(n, t), h = Ve.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 = Ve.staticSvg("vec", t), r = Ve.svgData.vec[1]) : (e = Ve.makeOrd({ mode: n.mode, text: n.label }, t, "textord"), e = ee(e), e.italic = 0, r = e.width, a && (c += e.depth)), h = Ve.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 = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: s }, { type: "kern", size: -c }, { type: "elem", elem: h }] }, t) } const m = Ve.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 }, Ot = (e, t) => { const r = e.isStretchy ? Ct(e.label) : new gt.MathNode("mo", [ft(e.label, e.mode)]), n = new gt.MathNode("mover", [vt(e.base, t), r]); return n.setAttribute("accent", "true"), n }, Et = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map((e => "\\" + e)).join("|")); je({ 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 = Ze(t[0]), n = !Et.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: Ht, mathmlBuilder: Ot }), je({ 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: Ht, mathmlBuilder: Ot }), je({ 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 = ht(e.base, t), n = Nt(e, t), o = "\\utilde" === e.label ? .12 : 0, s = Ve.makeVList({ positionType: "top", positionData: r.height, children: [{ type: "elem", elem: n, wrapperClasses: ["svg-align"] }, { type: "kern", size: o }, { type: "elem", elem: r }] }, t); return Ve.makeSpan(["mord", "accentunder"], [s], t) }, mathmlBuilder: (e, t) => { const r = Ct(e.label), n = new gt.MathNode("munder", [vt(e.base, t), r]); return n.setAttribute("accentunder", "true"), n } }); const Lt = e => { const t = new gt.MathNode("mpadded", e ? [e] : []); return t.setAttribute("width", "+0.6em"), t.setAttribute("lspace", "0.3em"), t }; je({ 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 = Ve.wrapFragment(ht(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 = Ve.wrapFragment(ht(e.below, n, t), t), i.classes.push(s + "-arrow-pad")); const a = Nt(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 = Ve.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 = Ve.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"), Ve.makeSpan(["mrel", "x-arrow"], [h], t) }, mathmlBuilder(e, t) { const r = Ct(e.label); let n; if (r.setAttribute("minsize", "x" === e.label.charAt(0) ? "1.75em" : "3.0em"), e.body) { const o = Lt(vt(e.body, t)); if (e.below) { const s = Lt(vt(e.below, t)); n = new gt.MathNode("munderover", [r, s, o]) } else n = new gt.MathNode("mover", [r, o]) } else if (e.below) { const o = Lt(vt(e.below, t)); n = new gt.MathNode("munder", [r, o]) } else n = Lt(), n = new gt.MathNode("mover", [r, n]); return n } }); const Dt = Ve.makeSpan; function Vt(e, t) { const r = nt(e.body, t, !0); return Dt([e.mclass], r, t) } function Pt(e, t) { let r; const n = xt(e.body, t); return "minner" === e.mclass ? r = new gt.MathNode("mpadded", n) : "mord" === e.mclass ? e.isCharacterBox ? (r = n[0], r.type = "mi") : r = new gt.MathNode("mi", n) : (e.isCharacterBox ? (r = n[0], r.type = "mo") : r = new gt.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 } je({ 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: Ke(o), isCharacterBox: l.isCharacterBox(o) } }, htmlBuilder: Vt, mathmlBuilder: Pt }); const Ft = 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 }; je({ type: "mclass", names: ["\\@binrel"], props: { numArgs: 2 }, handler(e, t) { let { parser: r } = e; return { type: "mclass", mode: r.mode, mclass: Ft(t[0]), body: Ke(t[1]), isCharacterBox: l.isCharacterBox(t[1]) } } }), je({ 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 ? Ft(o) : "mrel"; const a = { type: "op", mode: o.mode, limits: !0, alwaysHandleSupSub: !0, parentIsSupSub: !1, symbol: !1, suppressBaseShift: "\\stackrel" !== n, body: Ke(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: Vt, mathmlBuilder: Pt }), je({ type: "pmb", names: ["\\pmb"], props: { numArgs: 1, allowedInText: !0 }, handler(e, t) { let { parser: r } = e; return { type: "pmb", mode: r.mode, mclass: Ft(t[0]), body: Ke(t[0]) } }, htmlBuilder(e, t) { const r = nt(e.body, t, !0), n = Ve.makeSpan([e.mclass], r, t); return n.style.textShadow = "0.02em 0.01em 0.04px", n }, mathmlBuilder(e, t) { const r = xt(e.body, t), n = new gt.MathNode("mstyle", r); return n.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px"), n } }); const Gt = { ">": "\\\\cdrightarrow", "<": "\\\\cdleftarrow", "=": "\\\\cdlongequal", A: "\\uparrow", V: "\\downarrow", "|": "\\Vert", ".": "no arrow" }, Ut = e => "textord" === e.type && "@" === e.text; function Yt(e, t, r) { const n = Gt[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" } } } je({ 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 = Ve.wrapFragment(ht(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 gt.MathNode("mrow", [vt(e.label, t)]); return r = new gt.MathNode("mpadded", [r]), r.setAttribute("width", "0"), "left" === e.side && r.setAttribute("lspace", "-1width"), r.setAttribute("voffset", "0.7em"), r = new gt.MathNode("mstyle", [r]), r.setAttribute("displaystyle", "false"), r.setAttribute("scriptlevel", "1"), r } }), je({ 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 = Ve.wrapFragment(ht(e.fragment, t), t); return r.classes.push("cd-vert-arrow"), r }, mathmlBuilder(e, t) { return new gt.MathNode("mrow", [vt(e.fragment, t)]) } }), je({ type: "textord", names: ["\\@char"], props: { numArgs: 1, allowedInText: !0 }, handler(e, t) { let { parser: r } = e; const o = qt(t[0], "ordgroup").body; let s = ""; for (let e = 0; e < o.length; e++) { s += qt(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 Xt = (e, t) => { const r = nt(e.body, t.withColor(e.color), !1); return Ve.makeFragment(r) }, Wt = (e, t) => { const r = xt(e.body, t.withColor(e.color)), n = new gt.MathNode("mstyle", r); return n.setAttribute("mathcolor", e.color), n }; je({ type: "color", names: ["\\textcolor"], props: { numArgs: 2, allowedInText: !0, argTypes: ["color", "original"] }, handler(e, t) { let { parser: r } = e; const n = qt(t[0], "color-token").color, o = t[1]; return { type: "color", mode: r.mode, color: n, body: Ke(o) } }, htmlBuilder: Xt, mathmlBuilder: Wt }), je({ type: "color", names: ["\\color"], props: { numArgs: 1, allowedInText: !0, argTypes: ["color"] }, handler(e, t) { let { parser: r, breakOnTokenText: n } = e; const o = qt(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: Xt, mathmlBuilder: Wt }), je({ 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 && qt(o, "size").value } }, htmlBuilder(e, t) { const r = Ve.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 gt.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" }, jt = e => { const t = e.text; if (/^(?:[\\{}$&#^_]|EOF)$/.test(t)) throw new n("Expected a control sequence", e); return t }, $t = (e, t, r, n) => { let o = e.gullet.macros.get(r.text); null == o && (r.noexpand = !0, o = { tokens: [r], numArgs: 0, unexpandable: !e.gullet.isExpandable(r.text) }), e.gullet.macros.set(t, o, n) }; je({ type: "internal", names: ["\\global", "\\long", "\\\\globallong"], props: { numArgs: 0, allowedInText: !0 }, handler(e) { let { parser: t, funcName: r } = e; t.consumeSpaces(); const o = t.fetch(); if (_t[o.text]) return "\\global" !== r && "\\\\globallong" !== r || (o.text = _t[o.text]), qt(t.parseFunction(), "internal"); throw new n("Invalid token after macro prefix", o) } }), je({ type: "internal", names: ["\\def", "\\gdef", "\\edef", "\\xdef"], props: { numArgs: 0, allowedInText: !0, primitive: !0 }, handler(e) { let { parser: t, funcName: r } = e, o = t.gullet.popToken(); const s = o.text; if (/^(?:[\\{}$&#^_]|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 } } }), je({ type: "internal", names: ["\\let", "\\\\globallet"], props: { numArgs: 0, allowedInText: !0, primitive: !0 }, handler(e) { let { parser: t, funcName: r } = e; const n = jt(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 $t(t, n, o, "\\\\globallet" === r), { type: "internal", mode: t.mode } } }), je({ type: "internal", names: ["\\futurelet", "\\\\globalfuture"], props: { numArgs: 0, allowedInText: !0, primitive: !0 }, handler(e) { let { parser: t, funcName: r } = e; const n = jt(t.gullet.popToken()), o = t.gullet.popToken(), s = t.gullet.popToken(); return $t(t, n, s, "\\\\globalfuture" === r), t.gullet.pushToken(s), t.gullet.pushToken(o), { type: "internal", mode: t.mode } } }); const Zt = function (e, t, r) { const n = N(oe.math[e] && oe.math[e].replace || e, t, r); if (!n) throw new Error("Unsupported symbol " + e + " and font size " + t + "."); return n }, Kt = function (e, t, r, n) { const o = r.havingBaseStyle(t), s = Ve.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 }, Jt = 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 }, Qt = function (e, t, r, n, o, s) { const i = function (e, t, r, n) { return Ve.makeSymbol(e, "Size" + t + "-Regular", r, n) }(e, t, o, n), a = Kt(Ve.makeSpan(["delimsizing", "size" + t], [i], n), w.TEXT, n, s); return r && Jt(a, n, w.TEXT), a }, er = function (e, t, r) { let n; n = "Size1-Regular" === t ? "delim-size1" : "delim-size4"; return { type: "elem", elem: Ve.makeSpan(["delimsizinginner", n], [Ve.makeSpan([], [Ve.makeSymbol(e, t, r)])]) } }, tr = 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 J("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 K([o], { width: F(n), height: F(t), style: "width:" + F(n), viewBox: "0 0 " + 1e3 * n + " " + Math.round(1e3 * t), preserveAspectRatio: "xMinYMin" }), i = Ve.makeSvgSpan([], [s], r); return i.height = t, i.style.height = F(t), i.style.width = F(n), { type: "elem", elem: i } }, rr = { type: "kern", size: -.008 }, nr = ["|", "\\lvert", "\\rvert", "\\vert"], or = ["\\|", "\\lVert", "\\rVert", "\\Vert"], sr = 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(nr, e) ? (h = "\u2223", m = "vert", p = 333) : l.contains(or, 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 = Zt(i, u, o), g = d.height + d.depth, f = Zt(h, u, o), b = f.height + f.depth, y = Zt(c, u, o), x = y.height + y.depth; let v = 0, k = 1; if (null !== a) { const e = Zt(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 J(m, r), s = (p / 1e3).toFixed(3) + "em", i = (t / 1e3).toFixed(3) + "em", a = new K([o], { width: s, height: i, viewBox: "0 0 " + p + " " + t }), l = Ve.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(er(c, u, o)), T.push(rr), null === a) { const e = M - g - x + .016; T.push(tr(h, e, n)) } else { const e = (M - g - x - v) / 2 + .016; T.push(tr(h, e, n)), T.push(rr), T.push(er(a, u, o)), T.push(rr), T.push(tr(h, e, n)) } T.push(rr), T.push(er(i, u, o)) } const B = n.havingBaseStyle(w.TEXT), C = Ve.makeVList({ positionType: "bottom", positionData: A, children: T }, B); return Kt(Ve.makeSpan(["delimsizing", "mult"], [C], B), w.TEXT, n, s) }, ir = .08, ar = 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 J(e, s), a = new K([i], { width: "400em", height: F(t), viewBox: "0 0 400000 " + r, preserveAspectRatio: "xMinYMin slice" }); return Ve.makeSvgSpan(["hide-tail"], [a], o) }, lr = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"], hr = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"], cr = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"], mr = [0, 1.2, 1.8, 2.4, 3], pr = [{ 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 }], ur = [{ type: "small", style: w.SCRIPTSCRIPT }, { type: "small", style: w.SCRIPT }, { type: "small", style: w.TEXT }, { type: "stack" }], 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 }, { type: "stack" }], gr = 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.") }, fr = 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 = Zt(e, gr(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] }, br = 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(cr, e) ? pr : l.contains(lr, e) ? dr : ur; const a = fr(e, t, i, n); return "small" === a.type ? function (e, t, r, n, o, s) { const i = Ve.makeSymbol(e, "Main-Regular", o, n), a = Kt(i, t, n, s); return r && Jt(a, n, t), a }(e, a.style, r, n, o, s) : "large" === a.type ? Qt(e, a.size, r, n, o, s) : sr(e, t, r, n, o, s) }; var yr = { sqrtImage: function (e, t) { const r = t.havingBaseSizing(), n = fr("\\surd", e * r.sizeMultiplier, dr, 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 + ir) / o, h = (1 + s) / o, i = ar("sqrtMain", l, c, s, t), i.style.minWidth = "0.853em", a = .833 / o) : "large" === n.type ? (c = 1080 * mr[n.size], h = (mr[n.size] + s) / o, l = (mr[n.size] + s + ir) / o, i = ar("sqrtSize" + n.size, l, c, s, t), i.style.minWidth = "1.02em", a = 1 / o) : (l = e + s + ir, h = e + s, c = Math.floor(1e3 * e + s) + 80, i = ar("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(lr, e) || l.contains(cr, e)) return Qt(e, t, !1, r, o, s); if (l.contains(hr, e)) return sr(e, mr[t], !1, r, o, s); throw new n("Illegal delimiter: '" + e + "'") }, sizeToMaxHeight: mr, customSizedDelim: br, 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 br(e, h, !0, n, o, s) } }; const xr = { "\\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 } }, wr = ["(", "\\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 vr(e, t) { const r = Rt(e); if (r && l.contains(wr, r.text)) return r; throw new n(r ? "Invalid delimiter '" + r.text + "' after '" + t.funcName + "'" : "Invalid delimiter type '" + e.type + "'", e) } function kr(e) { if (!e.body) throw new Error("Bug: The leftright ParseNode wasn't fully parsed.") } je({ 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 = vr(t[0], e); return { type: "delimsizing", mode: e.parser.mode, size: xr[e.funcName].size, mclass: xr[e.funcName].mclass, delim: r.text } }, htmlBuilder: (e, t) => "." === e.delim ? Ve.makeSpan([e.mclass]) : yr.sizedDelim(e.delim, e.size, t, e.mode, [e.mclass]), mathmlBuilder: e => { const t = []; "." !== e.delim && t.push(ft(e.delim, e.mode)); const r = new gt.MathNode("mo", t); "mopen" === e.mclass || "mclose" === e.mclass ? r.setAttribute("fence", "true") : r.setAttribute("fence", "false"), r.setAttribute("stretchy", "true"); const n = F(yr.sizeToMaxHeight[e.size]); return r.setAttribute("minsize", n), r.setAttribute("maxsize", n), r } }), je({ 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: vr(t[0], e).text, color: r } } }), je({ type: "leftright", names: ["\\left"], props: { numArgs: 1, primitive: !0 }, handler: (e, t) => { const r = vr(t[0], e), n = e.parser; ++n.leftrightDepth; const o = n.parseExpression(!1); --n.leftrightDepth, n.expect("\\right", !1); const s = qt(n.parseFunction(), "leftright-right"); return { type: "leftright", mode: n.mode, body: o, left: r.text, right: s.delim, rightColor: s.color } }, htmlBuilder: (e, t) => { kr(e); const r = nt(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 ? lt(t, ["mopen"]) : yr.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] = yr.leftRightDelim(n.delim, s, i, n.options, e.mode, [])) } if ("." === e.right) o = lt(t, ["mclose"]); else { const r = e.rightColor ? t.withColor(e.rightColor) : t; o = yr.leftRightDelim(e.right, s, i, r, e.mode, ["mclose"]) } return r.push(o), Ve.makeSpan(["minner"], r, t) }, mathmlBuilder: (e, t) => { kr(e); const r = xt(e.body, t); if ("." !== e.left) { const t = new gt.MathNode("mo", [ft(e.left, e.mode)]); t.setAttribute("fence", "true"), r.unshift(t) } if ("." !== e.right) { const t = new gt.MathNode("mo", [ft(e.right, e.mode)]); t.setAttribute("fence", "true"), e.rightColor && t.setAttribute("mathcolor", e.rightColor), r.push(t) } return bt(r) } }), je({ type: "middle", names: ["\\middle"], props: { numArgs: 1, primitive: !0 }, handler: (e, t) => { const r = vr(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 = lt(t, []); else { r = yr.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 ? ft("|", "text") : ft(e.delim, e.mode), n = new gt.MathNode("mo", [r]); return n.setAttribute("fence", "true"), n.setAttribute("lspace", "0.05em"), n.setAttribute("rspace", "0.05em"), n } }); const Sr = (e, t) => { const r = Ve.wrapFragment(ht(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 = Ve.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 K([new J("phase", c)], { width: "400em", height: F(l / 1e3), viewBox: "0 0 400000 " + l, preserveAspectRatio: "xMinYMin slice" }); o = Ve.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 = Bt(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 = Ve.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 = Ve.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 ? Ve.makeSpan(["mord", "cancel-lap"], [c], t) : Ve.makeSpan(["mord"], [c], t) }, Mr = (e, t) => { let r = 0; const n = new gt.MathNode(e.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [vt(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 }; je({ type: "enclose", names: ["\\colorbox"], props: { numArgs: 2, allowedInText: !0, argTypes: ["color", "text"] }, handler(e, t, r) { let { parser: n, funcName: o } = e; const s = qt(t[0], "color-token").color, i = t[1]; return { type: "enclose", mode: n.mode, label: o, backgroundColor: s, body: i } }, htmlBuilder: Sr, mathmlBuilder: Mr }), je({ 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 = qt(t[0], "color-token").color, i = qt(t[1], "color-token").color, a = t[2]; return { type: "enclose", mode: n.mode, label: o, backgroundColor: i, borderColor: s, body: a } }, htmlBuilder: Sr, mathmlBuilder: Mr }), je({ 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] } } }), je({ 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: Sr, mathmlBuilder: Mr }), je({ 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 zr = {}; function Ar(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)zr[r[e]] = a; s && (We[t] = s), i && (_e[t] = i) } const Tr = {}; function Br(e, t) { Tr[e] = t } class Cr { 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 Cr(e.loc.lexer, e.loc.start, t.loc.end) : null : e && e.loc } } class Nr { 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 Nr(t, Cr.range(this, e)) } } function qr(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 Ir = e => { if (!e.parser.settings.displayMode) throw new n("{" + e.envName + "} can be used only in display mode.") }; function Rr(e) { if (-1 === e.indexOf("ed")) return -1 === e.indexOf("*") } function Hr(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 Nr("\\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(qr(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(qr(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 Or(e) { return "d" === e.slice(0, 1) ? "display" : "text" } const Er = 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 = ht(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 ? Ve.makeSpan(["eqn-num"], [], t) : !1 === s ? Ve.makeSpan([], [], t) : Ve.makeSpan([], nt(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 = Ve.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 = Ve.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 = Ve.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 = Ve.makeVList({ positionType: "individualShift", children: d }, t), d = Ve.makeSpan(["col-align-" + (c.align || "c")], [d]), M.push(d), (o < a - 1 || e.hskipBeforeAndAfter) && (i = l.deflt(c.postgap, u), 0 !== i && (z = Ve.makeSpan(["arraycolsep"], []), z.style.width = F(i), M.push(z))) } if (h = Ve.makeSpan(["mtable"], M), c.length > 0) { const e = Ve.makeLineSpan("hline", t, m), r = Ve.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 = Ve.makeVList({ positionType: "individualShift", children: n }, t) } if (0 === T.length) return Ve.makeSpan(["mord"], [h], t); { let e = Ve.makeVList({ positionType: "individualShift", children: T }, t); return e = Ve.makeSpan(["tag"], [e], t), Ve.makeFragment([h, e]) } }, Lr = { c: "center ", l: "left ", r: "right " }, Dr = function (e, t) { const r = [], n = new gt.MathNode("mtd", [], ["mtr-glue"]), o = new gt.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 gt.MathNode("mtd", [vt(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 gt.MathNode("mtr", a)) } let s = new gt.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 += Lr[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 gt.MathNode("menclose", [s]), s.setAttribute("notation", a.trim())), e.arraystretch && e.arraystretch < 1 && (s = new gt.MathNode("mstyle", [s]), s.setAttribute("scriptlevel", "1")), s }, Vr = function (e, t) { -1 === e.envName.indexOf("ed") && Ir(e); const r = [], o = e.envName.indexOf("at") > -1 ? "alignat" : "align", s = "split" === e.envName, i = Hr(e.parser, { cols: r, addJot: !0, autoTag: s ? void 0 : Rr(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 += qt(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 = qt(e[t], "styling"); qt(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 }; Ar({ type: "array", names: ["array", "darray"], props: { numArgs: 1 }, handler(e, t) { const r = (Rt(t[0]) ? [t[0]] : qt(t[0], "ordgroup").body).map((function (e) { const t = It(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 Hr(e.parser, o, Or(e.envName)) }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ 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 = Hr(e.parser, o, Or(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: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["smallmatrix"], props: { numArgs: 0 }, handler(e) { const t = Hr(e.parser, { arraystretch: .5 }, "script"); return t.colSeparationType = "small", t }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["subarray"], props: { numArgs: 1 }, handler(e, t) { const r = (Rt(t[0]) ? [t[0]] : qt(t[0], "ordgroup").body).map((function (e) { const t = It(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 = Hr(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: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["cases", "dcases", "rcases", "drcases"], props: { numArgs: 0 }, handler(e) { const t = Hr(e.parser, { arraystretch: 1.2, cols: [{ type: "align", align: "l", pregap: 0, postgap: 1 }, { type: "align", align: "l", pregap: 0, postgap: 0 }] }, Or(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: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["align", "align*", "aligned", "split"], props: { numArgs: 0 }, handler: Vr, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["gathered", "gather", "gather*"], props: { numArgs: 0 }, handler(e) { l.contains(["gather", "gather*"], e.envName) && Ir(e); const t = { cols: [{ type: "align", align: "c" }], addJot: !0, colSeparationType: "gather", autoTag: Rr(e.envName), emptySingleRow: !0, leqno: e.parser.settings.leqno }; return Hr(e.parser, t, "display") }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["alignat", "alignat*", "alignedat"], props: { numArgs: 1 }, handler: Vr, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["equation", "equation*"], props: { numArgs: 0 }, handler(e) { Ir(e); const t = { autoTag: Rr(e.envName), emptySingleRow: !0, singleRow: !0, maxNumCols: 1, leqno: e.parser.settings.leqno }; return Hr(e.parser, t, "display") }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["CD"], props: { numArgs: 0 }, handler(e) { return Ir(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 (Ut(l[t])) { r.push(h), t += 1; const o = It(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 (Ut(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: [Yt(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: Er, mathmlBuilder: Dr }), Br("\\nonumber", "\\gdef\\@eqnsw{0}"), Br("\\notag", "\\nonumber"), je({ 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 Pr = zr; je({ 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 += qt(s.body[e], "textord").text; if ("\\begin" === o) { if (!Pr.hasOwnProperty(i)) throw new n("No such environment: " + i, s); const e = Pr[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 = qt(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 Fr = (e, t) => { const r = e.font, n = t.withFont(r); return ht(e.body, n) }, Gr = (e, t) => { const r = e.font, n = t.withFont(r); return vt(e.body, n) }, Ur = { "\\Bbb": "\\mathbb", "\\bold": "\\mathbf", "\\frak": "\\mathfrak", "\\bm": "\\boldsymbol" }; je({ type: "font", names: ["\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", "\\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 = Ze(t[0]); let s = n; return s in Ur && (s = Ur[s]), { type: "font", mode: r.mode, font: s.slice(1), body: o } }, htmlBuilder: Fr, mathmlBuilder: Gr }), je({ 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: Ft(n), body: [{ type: "font", mode: r.mode, font: "boldsymbol", body: n }], isCharacterBox: o } } }), je({ 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: Fr, mathmlBuilder: Gr }); const Yr = (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 }, Xr = (e, t) => { const r = Yr(e.size, t.style), n = r.fracNum(), o = r.fracDen(); let s; s = t.havingStyle(n); const i = ht(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 = ht(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 = Ve.makeLineSpan("frac-line", t, h)) : l = Ve.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 = Ve.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 = Ve.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 ? lt(t, ["mopen"]) : yr.customSizedDelim(e.leftDelim, g, !0, t.havingStyle(r), e.mode, ["mopen"]), b = e.continued ? Ve.makeSpan([]) : null == e.rightDelim ? lt(t, ["mclose"]) : yr.customSizedDelim(e.rightDelim, g, !0, t.havingStyle(r), e.mode, ["mclose"]), Ve.makeSpan(["mord"].concat(s.sizingClasses(t)), [f, Ve.makeSpan(["mfrac"], [d]), b], t) }, Wr = (e, t) => { let r = new gt.MathNode("mfrac", [vt(e.numer, t), vt(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 = Yr(e.size, t.style); if (n.size !== t.style.size) { r = new gt.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 gt.MathNode("mo", [new gt.TextNode(e.leftDelim.replace("\\", ""))]); r.setAttribute("fence", "true"), t.push(r) } if (t.push(r), null != e.rightDelim) { const r = new gt.MathNode("mo", [new gt.TextNode(e.rightDelim.replace("\\", ""))]); r.setAttribute("fence", "true"), t.push(r) } return bt(t) } return r }; je({ 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: Xr, mathmlBuilder: Wr }), je({ 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 } } }), je({ 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"], jr = function (e) { let t = null; return e.length > 0 && (t = e, t = "." === t ? null : t), t }; je({ 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 = Ze(t[0]), i = "atom" === s.type && "open" === s.family ? jr(s.text) : null, a = Ze(t[1]), l = "atom" === a.type && "close" === a.family ? jr(a.text) : null, h = qt(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 = qt(u.body[0], "textord"); p = _r[Number(e.text)] } } else u = qt(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: Xr, mathmlBuilder: Wr }), je({ 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: qt(t[0], "size").value, token: o } } }), je({ 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 }(qt(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: Xr, mathmlBuilder: Wr }); const $r = (e, t) => { const r = t.style; let n, o; "supsub" === e.type ? (n = e.sup ? ht(e.sup, t.havingStyle(r.sup()), t) : ht(e.sub, t.havingStyle(r.sub()), t), o = qt(e.base, "horizBrace")) : o = qt(e, "horizBrace"); const s = ht(o.base, t.havingBaseStyle(w.DISPLAY)), i = Nt(o, t); let a; if (o.isOver ? (a = Ve.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 = Ve.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 = Ve.makeSpan(["mord", o.isOver ? "mover" : "munder"], [a], t); a = o.isOver ? Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: e }, { type: "kern", size: .2 }, { type: "elem", elem: n }] }, t) : Ve.makeVList({ positionType: "bottom", positionData: e.depth + .2 + n.height + n.depth, children: [{ type: "elem", elem: n }, { type: "kern", size: .2 }, { type: "elem", elem: e }] }, t) } return Ve.makeSpan(["mord", o.isOver ? "mover" : "munder"], [a], t) }; je({ type: "horizBrace", names: ["\\overbrace", "\\underbrace"], props: { numArgs: 1 }, handler(e, t) { let { parser: r, funcName: n } = e; return { type: "horizBrace", mode: r.mode, label: n, isOver: /^\\over/.test(n), base: t[0] } }, htmlBuilder: $r, mathmlBuilder: (e, t) => { const r = Ct(e.label); return new gt.MathNode(e.isOver ? "mover" : "munder", [vt(e.base, t), r]) } }), je({ type: "href", names: ["\\href"], props: { numArgs: 2, argTypes: ["url", "original"], allowedInText: !0 }, handler: (e, t) => { let { parser: r } = e; const n = t[1], o = qt(t[0], "url").url; return r.settings.isTrusted({ command: "\\href", url: o }) ? { type: "href", mode: r.mode, href: o, body: Ke(n) } : r.formatUnsupportedCmd("\\href") }, htmlBuilder: (e, t) => { const r = nt(e.body, t, !1); return Ve.makeAnchor(e.href, [], r, t) }, mathmlBuilder: (e, t) => { let r = wt(e.body, t); return r instanceof ut || (r = new ut("mrow", [r])), r.setAttribute("href", e.href), r } }), je({ type: "href", names: ["\\url"], props: { numArgs: 1, argTypes: ["url"], allowedInText: !0 }, handler: (e, t) => { let { parser: r } = e; const n = qt(t[0], "url").url; if (!r.settings.isTrusted({ command: "\\url", url: n })) return r.formatUnsupportedCmd("\\url"); const o = []; for (let e = 0; e < n.length; e++) { let t = n[e]; "~" === t && (t = "\\textasciitilde"), o.push({ type: "textord", mode: "text", text: t }) } const s = { type: "text", mode: r.mode, font: "\\texttt", body: o }; return { type: "href", mode: r.mode, href: n, body: Ke(s) } } }), je({ type: "hbox", names: ["\\hbox"], props: { numArgs: 1, argTypes: ["text"], allowedInText: !0, primitive: !0 }, handler(e, t) { let { parser: r } = e; return { type: "hbox", mode: r.mode, body: Ke(t[0]) } }, htmlBuilder(e, t) { const r = nt(e.body, t, !1); return Ve.makeFragment(r) }, mathmlBuilder(e, t) { return new gt.MathNode("mrow", xt(e.body, t)) } }), je({ type: "html", names: ["\\htmlClass", "\\htmlId", "\\htmlStyle", "\\htmlData"], props: { numArgs: 2, argTypes: ["raw", "original"], allowedInText: !0 }, handler: (e, t) => { let { parser: r, funcName: o, token: s } = e; const i = qt(t[0], "raw").string, a = t[1]; let l; r.settings.strict && r.settings.reportNonstrict("htmlExtension", "HTML extension is disabled on strict mode"); const h = {}; switch (o) { case "\\htmlClass": h.class = i, l = { command: "\\htmlClass", class: i }; break; case "\\htmlId": h.id = i, l = { command: "\\htmlId", id: i }; break; case "\\htmlStyle": h.style = i, l = { command: "\\htmlStyle", style: i }; break; case "\\htmlData": { const e = i.split(","); for (let t = 0; t < e.length; t++) { const r = e[t].split("="); if (2 !== r.length) throw new n("Error parsing key-value for \\htmlData"); h["data-" + r[0].trim()] = r[1].trim() } l = { command: "\\htmlData", attributes: h }; break } default: throw new Error("Unrecognized html command") }return r.settings.isTrusted(l) ? 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Ve.makeFragment(nt(e.body, t, !1)) : Ve.makeSpan(["mord"], nt(e.body, t, !0), t) }, mathmlBuilder(e, t) { return wt(e.body, t, !0) } }), je({ 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 = ht(e.body, t.havingCrampedStyle()), n = Ve.makeLineSpan("overline-line", t), o = t.fontMetrics().defaultRuleThickness, s = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }, { type: "kern", size: 3 * o }, { type: "elem", elem: n }, { type: "kern", size: o }] }, t); return Ve.makeSpan(["mord", "overline"], [s], t) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mo", [new gt.TextNode("\u203e")]); r.setAttribute("stretchy", "true"); const n = new gt.MathNode("mover", [vt(e.body, t), r]); return n.setAttribute("accent", "true"), n } }), je({ 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: Ke(n) } }, htmlBuilder: (e, t) => { const r = nt(e.body, t.withPhantom(), !1); return Ve.makeFragment(r) }, mathmlBuilder: (e, t) => { const r = xt(e.body, t); return new gt.MathNode("mphantom", r) } }), je({ 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 = Ve.makeSpan([], [ht(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 = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }] }, t), Ve.makeSpan(["mord"], [r], t) }, mathmlBuilder: (e, t) => { const r = xt(Ke(e.body), t), n = new gt.MathNode("mphantom", r), o = new gt.MathNode("mpadded", [n]); return o.setAttribute("height", "0px"), o.setAttribute("depth", "0px"), o } }), je({ 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 = Ve.makeSpan(["inner"], [ht(e.body, t.withPhantom())]), n = Ve.makeSpan(["fix"], []); return Ve.makeSpan(["mord", "rlap"], [r, n], t) }, mathmlBuilder: (e, t) => { const r = xt(Ke(e.body), t), n = new gt.MathNode("mphantom", r), o = new gt.MathNode("mpadded", [n]); return o.setAttribute("width", "0px"), o } }), je({ type: "raisebox", names: ["\\raisebox"], props: { numArgs: 2, argTypes: ["size", "hbox"], allowedInText: !0 }, handler(e, t) { let { parser: r } = e; const n = qt(t[0], "size").value, o = t[1]; return { type: "raisebox", mode: r.mode, dy: n, body: o } }, htmlBuilder(e, t) { const r = ht(e.body, t), n = P(e.dy, t); return Ve.makeVList({ positionType: "shift", positionData: -n, children: [{ type: "elem", elem: r }] }, t) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mpadded", [vt(e.body, t)]), n = e.dy.number + e.dy.unit; return r.setAttribute("voffset", n), r } }), je({ type: "internal", names: ["\\relax"], props: { numArgs: 0, allowedInText: !0 }, handler(e) { let { parser: t } = e; return { type: "internal", mode: t.mode } } }), je({ type: "rule", names: ["\\rule"], props: { numArgs: 2, numOptionalArgs: 1, argTypes: ["size", "size", "size"] }, handler(e, t, r) { let { parser: n } = e; const o = r[0], s = qt(t[0], "size"), i = qt(t[1], "size"); return { type: "rule", mode: n.mode, shift: o && qt(o, "size").value, width: s.value, height: i.value } }, htmlBuilder(e, t) { const r = Ve.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 gt.MathNode("mspace"); i.setAttribute("mathbackground", s), i.setAttribute("width", F(r)), i.setAttribute("height", F(n)); const a = new gt.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 an = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"]; je({ type: "sizing", names: an, 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: an.indexOf(n) + 1, body: s } }, htmlBuilder: (e, t) => { const r = t.havingSize(e.size); return sn(e.body, r, t) }, mathmlBuilder: (e, t) => { const r = t.havingSize(e.size), n = xt(e.body, r), o = new gt.MathNode("mstyle", n); return o.setAttribute("mathsize", F(r.sizeMultiplier)), o } }), je({ 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] && qt(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 = Ve.makeSpan([], [ht(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 = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }] }, t); return Ve.makeSpan(["mord"], [n], t) }, mathmlBuilder: (e, t) => { const r = new gt.MathNode("mpadded", [vt(e.body, t)]); return e.smashHeight && r.setAttribute("height", "0px"), e.smashDepth && r.setAttribute("depth", "0px"), r } }), je({ 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 = ht(e.body, t.havingCrampedStyle()); 0 === r.height && (r.height = t.fontMetrics().xHeight), r = Ve.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 } = yr.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 = Ve.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 = ht(e.index, r, t), o = .6 * (p.height - p.depth), s = Ve.makeVList({ positionType: "shift", positionData: -o, children: [{ type: "elem", elem: n }] }, t), i = Ve.makeSpan(["root"], [s]); return Ve.makeSpan(["mord", "sqrt"], [i, p], t) } return Ve.makeSpan(["mord", "sqrt"], [p], t) }, mathmlBuilder(e, t) { const { body: r, index: n } = e; return n ? new gt.MathNode("mroot", [vt(r, t), vt(n, t)]) : new gt.MathNode("msqrt", [vt(r, t)]) } }); const ln = { display: w.DISPLAY, text: w.TEXT, script: w.SCRIPT, scriptscript: w.SCRIPTSCRIPT }; je({ 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 = ln[e.style], n = t.havingStyle(r).withFont(""); return sn(e.body, n, t) }, mathmlBuilder(e, t) { const r = ln[e.style], n = t.havingStyle(r), o = xt(e.body, n), s = new gt.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 } }); $e({ 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) ? en : null : "operatorname" === r.type ? r.alwaysHandleSupSub && (t.style.size === w.DISPLAY.size || r.limits) ? on : null : "accent" === r.type ? l.isCharacterBox(r.base) ? Ht : null : "horizBrace" === r.type && !e.sub === r.isOver ? $r : null; return null }(e, t); if (r) return r(e, t); const { base: n, sup: o, sub: s } = e, i = ht(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 = ht(o, e, t), u || (m = i.height - e.fontMetrics().supDrop * e.sizeMultiplier / t.sizeMultiplier) } if (s) { const e = t.havingStyle(t.style.sub()); h = ht(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 Z || 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 = Ve.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 = Ve.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 = Ve.makeVList({ positionType: "shift", positionData: -m, children: [{ type: "elem", elem: a, marginRight: f }] }, t) } const x = at(i, "right") || "mord"; return Ve.makeSpan([x], [i, Ve.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 = [vt(e.base, t)]; let i; if (e.sub && s.push(vt(e.sub, t)), e.sup && s.push(vt(e.sup, t)), o) i = r ? "mover" : "munder"; else if (e.sub) if (e.sup) { const r = e.base; i = r && "op" === r.type && r.limits && t.style === w.DISPLAY || r && "operatorname" === r.type && r.alwaysHandleSupSub && (t.style === w.DISPLAY || r.limits) ? "munderover" : "msubsup" } else { const r = e.base; i = r && "op" === r.type && r.limits && (t.style === w.DISPLAY || r.alwaysHandleSupSub) || r && "operatorname" === r.type && r.alwaysHandleSupSub && (r.limits || t.style === w.DISPLAY) ? "munder" : "msub" } else { const r = e.base; i = r && "op" === r.type && r.limits && (t.style === w.DISPLAY || r.alwaysHandleSupSub) || r && "operatorname" === r.type && r.alwaysHandleSupSub && (r.limits || t.style === w.DISPLAY) ? "mover" : "msup" } return new gt.MathNode(i, s) } }), $e({ type: "atom", htmlBuilder(e, t) { return Ve.mathsym(e.text, e.mode, t, ["m" + e.family]) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mo", [ft(e.text, e.mode)]); if ("bin" === e.family) { const n = yt(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 hn = { mi: "italic", mn: "normal", mtext: "normal" }; $e({ type: "mathord", htmlBuilder(e, t) { return Ve.makeOrd(e, t, "mathord") }, mathmlBuilder(e, t) { const r = new gt.MathNode("mi", [ft(e.text, e.mode, t)]), n = yt(e, t) || "italic"; return n !== hn[r.type] && r.setAttribute("mathvariant", n), r } }), $e({ type: "textord", htmlBuilder(e, t) { return Ve.makeOrd(e, t, "textord") }, mathmlBuilder(e, t) { const r = ft(e.text, e.mode, t), n = yt(e, t) || "normal"; let o; return o = "text" === e.mode ? new gt.MathNode("mtext", [r]) : /[0-9]/.test(e.text) ? new gt.MathNode("mn", [r]) : "\\prime" === e.text ? new gt.MathNode("mo", [r]) : new gt.MathNode("mi", [r]), n !== hn[o.type] && o.setAttribute("mathvariant", n), o } }); const cn = { "\\nobreak": "nobreak", "\\allowbreak": "allowbreak" }, mn = { " ": {}, "\\ ": {}, "~": { className: "nobreak" }, "\\space": {}, "\\nobreakspace": { className: "nobreak" } }; $e({ type: "spacing", htmlBuilder(e, t) { if (mn.hasOwnProperty(e.text)) { const r = mn[e.text].className || ""; if ("text" === e.mode) { const n = Ve.makeOrd(e, t, "textord"); return n.classes.push(r), n } return Ve.makeSpan(["mspace", r], [Ve.mathsym(e.text, e.mode, t)], t) } if (cn.hasOwnProperty(e.text)) return Ve.makeSpan(["mspace", cn[e.text]], [], t); throw new n('Unknown type of space "' + e.text + '"') }, mathmlBuilder(e, t) { let r; if (!mn.hasOwnProperty(e.text)) { if (cn.hasOwnProperty(e.text)) return new gt.MathNode("mspace"); throw new n('Unknown type of space "' + e.text + '"') } return r = new gt.MathNode("mtext", [new gt.TextNode("\xa0")]), r } }); const pn = () => { const e = new gt.MathNode("mtd", []); return e.setAttribute("width", "50%"), e }; $e({ type: "tag", mathmlBuilder(e, t) { const r = new gt.MathNode("mtable", [new gt.MathNode("mtr", [pn(), new gt.MathNode("mtd", [wt(e.body, t)]), pn(), new gt.MathNode("mtd", [wt(e.tag, t)])])]); return r.setAttribute("width", "100%"), r } }); const un = { "\\text": void 0, "\\textrm": "textrm", "\\textsf": "textsf", "\\texttt": "texttt", "\\textnormal": "textrm" }, dn = { "\\textbf": "textbf", "\\textmd": "textmd" }, gn = { "\\textit": "textit", "\\textup": "textup" }, fn = (e, t) => { const r = e.font; return r ? un[r] ? t.withTextFontFamily(un[r]) : dn[r] ? t.withTextFontWeight(dn[r]) : "\\emph" === r ? "textit" === t.fontShape ? t.withTextFontShape("textup") : t.withTextFontShape("textit") : t.withTextFontShape(gn[r]) : t }; je({ 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: Ke(o), font: n } }, htmlBuilder(e, t) { const r = fn(e, t), n = nt(e.body, r, !0); return Ve.makeSpan(["mord", "text"], n, r) }, mathmlBuilder(e, t) { const r = fn(e, t); return wt(e.body, r) } }), je({ 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 = ht(e.body, t), n = Ve.makeLineSpan("underline-line", t), o = t.fontMetrics().defaultRuleThickness, s = Ve.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 Ve.makeSpan(["mord", "underline"], [s], t) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mo", [new gt.TextNode("\u203e")]); r.setAttribute("stretchy", "true"); const n = new gt.MathNode("munder", [vt(e.body, t), r]); return n.setAttribute("accentunder", "true"), n } }), je({ 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 = ht(e.body, t), n = t.fontMetrics().axisHeight, o = .5 * (r.height - n - (r.depth + n)); return Ve.makeVList({ positionType: "shift", positionData: o, children: [{ type: "elem", elem: r }] }, t) }, mathmlBuilder(e, t) { return new gt.MathNode("mpadded", [vt(e.body, t)], ["vcenter"]) } }), je({ 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 = bn(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(Ve.makeSymbol(s, "Typewriter-Regular", e.mode, o, ["mord", "texttt"])) } return Ve.makeSpan(["mord", "text"].concat(o.sizingClasses(t)), Ve.tryCombineChars(n), o) }, mathmlBuilder(e, t) { const r = new gt.TextNode(bn(e)), n = new gt.MathNode("mtext", [r]); return n.setAttribute("mathvariant", "monospace"), n } }); const bn = e => e.body.replace(/ /g, e.star ? "\u2423" : "\xa0"); var yn = Xe; const xn = "[ \r\n\t]", wn = "(\\\\[a-zA-Z@]+)" + xn + "*", vn = "[\u0300-\u036f]", kn = new RegExp(vn + "+$"), Sn = "(" + xn + "+)|\\\\(\n|[ \r\t]+\n?)[ \r\t]*|([!-\\[\\]-\u2027\u202a-\ud7ff\uf900-\uffff]" + vn + "*|[\ud800-\udbff][\udc00-\udfff]" + vn + "*|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5|" + wn + "|\\\\[^\ud800-\udfff])"; class Mn { 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(Sn, "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 Nr("EOF", new Cr(this, t, t)); const r = this.tokenRegex.exec(e); if (null === r || r.index !== t) throw new n("Unexpected character: '" + e[t] + "'", new Nr(e[t], new Cr(this, t, t + 1))); const o = r[6] || r[3] || (r[2] ? 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"\\Leftrightarrow"), Br("\\Mu", "\\mathrm{M}"), Br("\\natnums", "\\mathbb{N}"), Br("\\Nu", "\\mathrm{N}"), Br("\\Omicron", "\\mathrm{O}"), Br("\\plusmn", "\\pm"), Br("\\rarr", "\\rightarrow"), Br("\\rArr", "\\Rightarrow"), Br("\\Rarr", "\\Rightarrow"), Br("\\real", "\\Re"), Br("\\reals", "\\mathbb{R}"), Br("\\Reals", "\\mathbb{R}"), Br("\\Rho", "\\mathrm{P}"), Br("\\sdot", "\\cdot"), Br("\\sect", "\\S"), Br("\\spades", "\\spadesuit"), Br("\\sub", "\\subset"), Br("\\sube", "\\subseteq"), Br("\\supe", "\\supseteq"), Br("\\Tau", "\\mathrm{T}"), Br("\\thetasym", "\\vartheta"), Br("\\weierp", "\\wp"), Br("\\Zeta", "\\mathrm{Z}"), Br("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}"), Br("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}"), Br("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"), Br("\\bra", "\\mathinner{\\langle{#1}|}"), Br("\\ket", "\\mathinner{|{#1}\\rangle}"), Br("\\braket", "\\mathinner{\\langle{#1}\\rangle}"), Br("\\Bra", "\\left\\langle#1\\right|"), Br("\\Ket", "\\left|#1\\right\\rangle"); const In = 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 } }; Br("\\bra@ket", In(!1)), Br("\\bra@set", In(!0)), Br("\\Braket", "\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"), Br("\\Set", "\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"), Br("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"), Br("\\angln", "{\\angl n}"), Br("\\blue", "\\textcolor{##6495ed}{#1}"), Br("\\orange", "\\textcolor{##ffa500}{#1}"), Br("\\pink", "\\textcolor{##ff00af}{#1}"), Br("\\red", "\\textcolor{##df0030}{#1}"), Br("\\green", "\\textcolor{##28ae7b}{#1}"), Br("\\gray", "\\textcolor{gray}{#1}"), Br("\\purple", "\\textcolor{##9d38bd}{#1}"), Br("\\blueA", "\\textcolor{##ccfaff}{#1}"), Br("\\blueB", "\\textcolor{##80f6ff}{#1}"), Br("\\blueC", "\\textcolor{##63d9ea}{#1}"), Br("\\blueD", "\\textcolor{##11accd}{#1}"), Br("\\blueE", "\\textcolor{##0c7f99}{#1}"), Br("\\tealA", "\\textcolor{##94fff5}{#1}"), Br("\\tealB", "\\textcolor{##26edd5}{#1}"), Br("\\tealC", "\\textcolor{##01d1c1}{#1}"), Br("\\tealD", "\\textcolor{##01a995}{#1}"), Br("\\tealE", "\\textcolor{##208170}{#1}"), Br("\\greenA", "\\textcolor{##b6ffb0}{#1}"), Br("\\greenB", "\\textcolor{##8af281}{#1}"), Br("\\greenC", "\\textcolor{##74cf70}{#1}"), Br("\\greenD", "\\textcolor{##1fab54}{#1}"), Br("\\greenE", "\\textcolor{##0d923f}{#1}"), Br("\\goldA", "\\textcolor{##ffd0a9}{#1}"), Br("\\goldB", "\\textcolor{##ffbb71}{#1}"), Br("\\goldC", "\\textcolor{##ff9c39}{#1}"), Br("\\goldD", "\\textcolor{##e07d10}{#1}"), Br("\\goldE", "\\textcolor{##a75a05}{#1}"), Br("\\redA", "\\textcolor{##fca9a9}{#1}"), Br("\\redB", "\\textcolor{##ff8482}{#1}"), Br("\\redC", "\\textcolor{##f9685d}{#1}"), Br("\\redD", "\\textcolor{##e84d39}{#1}"), Br("\\redE", "\\textcolor{##bc2612}{#1}"), Br("\\maroonA", "\\textcolor{##ffbde0}{#1}"), Br("\\maroonB", "\\textcolor{##ff92c6}{#1}"), Br("\\maroonC", "\\textcolor{##ed5fa6}{#1}"), Br("\\maroonD", "\\textcolor{##ca337c}{#1}"), Br("\\maroonE", "\\textcolor{##9e034e}{#1}"), Br("\\purpleA", "\\textcolor{##ddd7ff}{#1}"), Br("\\purpleB", "\\textcolor{##c6b9fc}{#1}"), Br("\\purpleC", "\\textcolor{##aa87ff}{#1}"), Br("\\purpleD", "\\textcolor{##7854ab}{#1}"), Br("\\purpleE", "\\textcolor{##543b78}{#1}"), Br("\\mintA", "\\textcolor{##f5f9e8}{#1}"), Br("\\mintB", "\\textcolor{##edf2df}{#1}"), Br("\\mintC", "\\textcolor{##e0e5cc}{#1}"), Br("\\grayA", "\\textcolor{##f6f7f7}{#1}"), Br("\\grayB", "\\textcolor{##f0f1f2}{#1}"), Br("\\grayC", "\\textcolor{##e3e5e6}{#1}"), Br("\\grayD", "\\textcolor{##d6d8da}{#1}"), Br("\\grayE", "\\textcolor{##babec2}{#1}"), Br("\\grayF", "\\textcolor{##888d93}{#1}"), Br("\\grayG", "\\textcolor{##626569}{#1}"), Br("\\grayH", "\\textcolor{##3b3e40}{#1}"), Br("\\grayI", "\\textcolor{##21242c}{#1}"), Br("\\kaBlue", "\\textcolor{##314453}{#1}"), Br("\\kaGreen", "\\textcolor{##71B307}{#1}"); const Rn = { "^": !0, _: !0, "\\limits": !0, "\\nolimits": !0 }; class Hn { 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 zn(An, t.macros), this.mode = r, this.stack = [] } feed(e) { this.lexer = new Mn(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 Nr("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 Nr(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 Mn(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) || yn.hasOwnProperty(e) || oe.math.hasOwnProperty(e) || oe.text.hasOwnProperty(e) || Rn.hasOwnProperty(e) } isExpandable(e) { const t = this.macros.get(e); return null != t ? "string" == typeof t || "function" == typeof t || !t.unexpandable : yn.hasOwnProperty(e) && !yn[e].primitive } } const On = /^[\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]/, En = 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" }), Ln = { "\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" } }, Dn = { "\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 Vn { 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 Hn(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 Nr("}")), 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 !== Vn.endOfExpression.indexOf(n.text)) break; if (t && n.text === t) break; if (e && yn[n.text] && yn[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; this.consume(), this.consumeSpaces(); const o = this.parseGroup(e); 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 ("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 (!En[e.text]) break; { const t = On.test(e.text), n = []; for (n.push(new Nr(En[e.text])), this.consume(); ;) { const e = this.fetch().text; if (!En[e]) break; if (On.test(e) !== t) break; n.unshift(new Nr(En[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 = yn[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 = yn[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: Cr.range(r, n), body: t, semisimple: "\\begingroup" === o || void 0 } } else if (s = this.parseFunction(t, e) || this.parseSymbol(), null == s && "\\" === o[0] && !Rn.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: Cr.range(n, e[r + 2]), text: "---" }), t -= 2) : (e.splice(r, 2, { type: "textord", mode: "text", loc: Cr.range(n, e[r + 1]), text: "--" }), t -= 1)), "'" !== o && "`" !== o || e[r + 1].text !== o || (e.splice(r, 2, { type: "textord", mode: "text", loc: Cr.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 } } Dn.hasOwnProperty(t[0]) && !oe[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 = Dn[t[0]] + t.slice(1)); const r = kn.exec(t); let o; if (r && (t = t.substring(0, r.index), "i" === t ? t = "\u0131" : "j" === t && (t = "\u0237")), oe[this.mode][t]) { this.settings.strict && "math" === this.mode && Ae.indexOf(t) >= 0 && this.settings.reportNonstrict("unicodeTextInMathMode", 'Latin-1/Unicode text character "' + t[0] + '" used in math mode', e); const r = oe[this.mode][t].group, n = Cr.range(e); let s; if (te.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: Cr.range(e), text: t } } if (this.consume(), r) for (let t = 0; t < r[0].length; t++) { const s = r[0][t]; if (!Ln[s]) throw new n("Unknown accent ' " + s + "'", e); const i = Ln[s][this.mode] || Ln[s].text; if (!i) throw new n("Accent " + s + " unsupported in " + this.mode + " mode", e); o = { type: "accent", mode: this.mode, loc: Cr.range(e), label: i, isStretchy: !1, isShifty: !0, base: o } } return o } } Vn.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"]; var Pn = function (e, t) { if (!("string" == typeof e || e instanceof String)) throw new TypeError("KaTeX can only parse string typed expression"); const r = new Vn(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 Nr("\\df@tag")]) }] } return o }; let Fn = function (e, t, r) { t.textContent = ""; const n = Un(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. 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1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z", rightharpoondownplus: "M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z", righthook: "M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z", rightlinesegment: "M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z", rightToFrom: "M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z", twoheadleftarrow: "M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z", twoheadrightarrow: "M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z", tilde1: "M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z", tilde2: "M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z", tilde3: "M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n 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0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", widehat3: "M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", widehat4: "M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z", widecheck1: "M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z", widecheck2: "M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", widecheck3: "M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", widecheck4: "M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z", baraboveleftarrow: "M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z", rightarrowabovebar: "M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 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0, .61111], 10217: [.65002, 1.15, 0, 0, .61111], 10752: [.55001, 1.05, 0, 0, 1.51112], 10753: [.55001, 1.05, 0, 0, 1.51112], 10754: [.55001, 1.05, 0, 0, 1.51112], 10756: [.55001, 1.05, 0, 0, 1.11111], 10758: [.55001, 1.05, 0, 0, 1.11111] }, "Size3-Regular": { 32: [0, 0, 0, 0, .25], 40: [.95003, 1.45, 0, 0, .73611], 41: [.95003, 1.45, 0, 0, .73611], 47: [.95003, 1.45, 0, 0, 1.04445], 91: [.95003, 1.45, 0, 0, .52778], 92: [.95003, 1.45, 0, 0, 1.04445], 93: [.95003, 1.45, 0, 0, .52778], 123: [.95003, 1.45, 0, 0, .75], 125: [.95003, 1.45, 0, 0, .75], 160: [0, 0, 0, 0, .25], 710: [0, .75, 0, 0, 1.44445], 732: [0, .75, 0, 0, 1.44445], 770: [0, .75, 0, 0, 1.44445], 771: [0, .75, 0, 0, 1.44445], 8730: [.95003, 1.45, 0, 0, 1], 8968: [.95003, 1.45, 0, 0, .58334], 8969: [.95003, 1.45, 0, 0, .58334], 8970: [.95003, 1.45, 0, 0, .58334], 8971: [.95003, 1.45, 0, 0, .58334], 10216: [.95003, 1.45, 0, 0, .75], 10217: [.95003, 1.45, 0, 0, .75] }, "Size4-Regular": { 32: [0, 0, 0, 0, .25], 40: [1.25003, 1.75, 0, 0, .79167], 41: [1.25003, 1.75, 0, 0, .79167], 47: [1.25003, 1.75, 0, 0, 1.27778], 91: [1.25003, 1.75, 0, 0, .58334], 92: [1.25003, 1.75, 0, 0, 1.27778], 93: [1.25003, 1.75, 0, 0, .58334], 123: [1.25003, 1.75, 0, 0, .80556], 125: [1.25003, 1.75, 0, 0, .80556], 160: [0, 0, 0, 0, .25], 710: [0, .825, 0, 0, 1.8889], 732: [0, .825, 0, 0, 1.8889], 770: [0, .825, 0, 0, 1.8889], 771: [0, .825, 0, 0, 1.8889], 8730: [1.25003, 1.75, 0, 0, 1], 8968: [1.25003, 1.75, 0, 0, .63889], 8969: [1.25003, 1.75, 0, 0, .63889], 8970: [1.25003, 1.75, 0, 0, .63889], 8971: [1.25003, 1.75, 0, 0, .63889], 9115: [.64502, 1.155, 0, 0, .875], 9116: [1e-5, .6, 0, 0, .875], 9117: [.64502, 1.155, 0, 0, .875], 9118: [.64502, 1.155, 0, 0, .875], 9119: [1e-5, .6, 0, 0, .875], 9120: [.64502, 1.155, 0, 0, .875], 9121: [.64502, 1.155, 0, 0, .66667], 9122: [-99e-5, .601, 0, 0, .66667], 9123: [.64502, 1.155, 0, 0, .66667], 9124: [.64502, 1.155, 0, 0, .66667], 9125: [-99e-5, .601, 0, 0, .66667], 9126: [.64502, 1.155, 0, 0, .66667], 9127: [1e-5, .9, 0, 0, .88889], 9128: [.65002, 1.15, 0, 0, .88889], 9129: [.90001, 0, 0, 0, .88889], 9130: [0, .3, 0, 0, .88889], 9131: [1e-5, .9, 0, 0, .88889], 9132: [.65002, 1.15, 0, 0, .88889], 9133: [.90001, 0, 0, 0, .88889], 9143: [.88502, .915, 0, 0, 1.05556], 10216: [1.25003, 1.75, 0, 0, .80556], 10217: [1.25003, 1.75, 0, 0, .80556], 57344: [-.00499, .605, 0, 0, 1.05556], 57345: [-.00499, .605, 0, 0, 1.05556], 57680: [0, .12, 0, 0, .45], 57681: [0, .12, 0, 0, .45], 57682: [0, .12, 0, 0, .45], 57683: [0, .12, 0, 0, .45] }, "Typewriter-Regular": { 32: [0, 0, 0, 0, .525], 33: [0, .61111, 0, 0, .525], 34: [0, .61111, 0, 0, .525], 35: [0, .61111, 0, 0, .525], 36: [.08333, .69444, 0, 0, .525], 37: [.08333, .69444, 0, 0, .525], 38: [0, .61111, 0, 0, .525], 39: [0, .61111, 0, 0, .525], 40: [.08333, .69444, 0, 0, .525], 41: [.08333, .69444, 0, 0, .525], 42: [0, .52083, 0, 0, .525], 43: [-.08056, .53055, 0, 0, .525], 44: [.13889, .125, 0, 0, .525], 45: [-.08056, .53055, 0, 0, .525], 46: [0, .125, 0, 0, .525], 47: [.08333, .69444, 0, 0, .525], 48: [0, .61111, 0, 0, .525], 49: [0, .61111, 0, 0, .525], 50: [0, .61111, 0, 0, .525], 51: [0, .61111, 0, 0, .525], 52: [0, .61111, 0, 0, .525], 53: [0, .61111, 0, 0, .525], 54: [0, .61111, 0, 0, .525], 55: [0, .61111, 0, 0, .525], 56: [0, .61111, 0, 0, .525], 57: [0, .61111, 0, 0, .525], 58: [0, .43056, 0, 0, .525], 59: [.13889, .43056, 0, 0, .525], 60: [-.05556, .55556, 0, 0, .525], 61: [-.19549, .41562, 0, 0, .525], 62: [-.05556, .55556, 0, 0, .525], 63: [0, .61111, 0, 0, .525], 64: [0, .61111, 0, 0, .525], 65: [0, .61111, 0, 0, .525], 66: [0, .61111, 0, 0, .525], 67: [0, .61111, 0, 0, .525], 68: [0, .61111, 0, 0, .525], 69: [0, .61111, 0, 0, .525], 70: [0, .61111, 0, 0, .525], 71: [0, .61111, 0, 0, .525], 72: [0, .61111, 0, 0, .525], 73: [0, .61111, 0, 0, .525], 74: [0, .61111, 0, 0, .525], 75: [0, .61111, 0, 0, .525], 76: [0, .61111, 0, 0, .525], 77: [0, .61111, 0, 0, .525], 78: [0, .61111, 0, 0, .525], 79: [0, .61111, 0, 0, .525], 80: [0, .61111, 0, 0, .525], 81: [.13889, .61111, 0, 0, .525], 82: [0, .61111, 0, 0, .525], 83: [0, .61111, 0, 0, .525], 84: [0, .61111, 0, 0, .525], 85: [0, .61111, 0, 0, .525], 86: [0, .61111, 0, 0, .525], 87: [0, .61111, 0, 0, .525], 88: [0, .61111, 0, 0, .525], 89: [0, .61111, 0, 0, .525], 90: [0, .61111, 0, 0, .525], 91: [.08333, .69444, 0, 0, .525], 92: [.08333, .69444, 0, 0, .525], 93: [.08333, .69444, 0, 0, .525], 94: [0, .61111, 0, 0, .525], 95: [.09514, 0, 0, 0, .525], 96: [0, .61111, 0, 0, .525], 97: [0, .43056, 0, 0, .525], 98: [0, .61111, 0, 0, .525], 99: [0, .43056, 0, 0, .525], 100: [0, .61111, 0, 0, .525], 101: [0, .43056, 0, 0, .525], 102: [0, .61111, 0, 0, .525], 103: [.22222, .43056, 0, 0, .525], 104: [0, .61111, 0, 0, .525], 105: [0, .61111, 0, 0, .525], 106: [.22222, .61111, 0, 0, .525], 107: [0, .61111, 0, 0, .525], 108: [0, .61111, 0, 0, .525], 109: [0, .43056, 0, 0, .525], 110: [0, .43056, 0, 0, .525], 111: [0, .43056, 0, 0, .525], 112: [.22222, .43056, 0, 0, .525], 113: [.22222, .43056, 0, 0, .525], 114: [0, .43056, 0, 0, .525], 115: [0, .43056, 0, 0, .525], 116: [0, .55358, 0, 0, .525], 117: [0, .43056, 0, 0, .525], 118: [0, .43056, 0, 0, .525], 119: [0, .43056, 0, 0, .525], 120: [0, .43056, 0, 0, .525], 121: [.22222, .43056, 0, 0, .525], 122: [0, .43056, 0, 0, .525], 123: [.08333, .69444, 0, 0, .525], 124: [.08333, .69444, 0, 0, .525], 125: [.08333, .69444, 0, 0, .525], 126: [0, .61111, 0, 0, .525], 127: [0, .61111, 0, 0, .525], 160: [0, 0, 0, 0, .525], 176: [0, .61111, 0, 0, .525], 184: [.19445, 0, 0, 0, .525], 305: [0, .43056, 0, 0, .525], 567: [.22222, .43056, 0, 0, .525], 711: [0, .56597, 0, 0, .525], 713: [0, .56555, 0, 0, .525], 714: [0, .61111, 0, 0, .525], 715: [0, .61111, 0, 0, .525], 728: [0, .61111, 0, 0, .525], 730: [0, .61111, 0, 0, .525], 770: [0, .61111, 0, 0, .525], 771: [0, .61111, 0, 0, .525], 776: [0, .61111, 0, 0, .525], 915: [0, .61111, 0, 0, .525], 916: [0, .61111, 0, 0, .525], 920: [0, .61111, 0, 0, .525], 923: [0, .61111, 0, 0, .525], 926: [0, .61111, 0, 0, .525], 928: [0, .61111, 0, 0, .525], 931: [0, .61111, 0, 0, .525], 933: [0, .61111, 0, 0, .525], 934: [0, .61111, 0, 0, .525], 936: [0, .61111, 0, 0, .525], 937: [0, .61111, 0, 0, .525], 8216: [0, .61111, 0, 0, .525], 8217: [0, .61111, 0, 0, .525], 8242: [0, .61111, 0, 0, .525], 9251: [.11111, .21944, 0, 0, .525] } }; const B = { slant: [.25, .25, .25], space: [0, 0, 0], stretch: [0, 0, 0], shrink: [0, 0, 0], xHeight: [.431, .431, .431], quad: [1, 1.171, 1.472], extraSpace: [0, 0, 0], num1: [.677, .732, .925], num2: [.394, .384, .387], num3: [.444, .471, .504], denom1: [.686, .752, 1.025], denom2: [.345, .344, .532], sup1: [.413, .503, .504], sup2: [.363, .431, .404], sup3: [.289, .286, .294], sub1: [.15, .143, .2], sub2: [.247, .286, .4], supDrop: [.386, .353, .494], subDrop: [.05, .071, .1], delim1: [2.39, 1.7, 1.98], delim2: [1.01, 1.157, 1.42], axisHeight: [.25, .25, .25], defaultRuleThickness: [.04, .049, .049], bigOpSpacing1: [.111, .111, .111], bigOpSpacing2: [.166, .166, .166], bigOpSpacing3: [.2, .2, .2], bigOpSpacing4: [.6, .611, .611], bigOpSpacing5: [.1, .143, .143], sqrtRuleThickness: [.04, .04, .04], ptPerEm: [10, 10, 10], doubleRuleSep: [.2, .2, .2], arrayRuleWidth: [.04, .04, .04], fboxsep: [.3, .3, .3], fboxrule: [.04, .04, .04] }, C = { "\xc5": "A", "\xd0": "D", "\xde": "o", "\xe5": "a", "\xf0": "d", "\xfe": "o", "\u0410": "A", "\u0411": "B", "\u0412": "B", "\u0413": "F", "\u0414": "A", "\u0415": "E", "\u0416": "K", "\u0417": "3", "\u0418": "N", "\u0419": "N", "\u041a": "K", "\u041b": "N", "\u041c": "M", "\u041d": "H", "\u041e": "O", "\u041f": "N", "\u0420": "P", "\u0421": "C", "\u0422": "T", "\u0423": "y", "\u0424": "O", "\u0425": "X", "\u0426": "U", "\u0427": "h", "\u0428": "W", "\u0429": "W", "\u042a": "B", "\u042b": "X", "\u042c": "B", "\u042d": "3", "\u042e": "X", "\u042f": "R", "\u0430": "a", "\u0431": "b", "\u0432": "a", "\u0433": "r", "\u0434": "y", "\u0435": "e", "\u0436": "m", "\u0437": "e", "\u0438": "n", "\u0439": "n", "\u043a": "n", "\u043b": "n", "\u043c": "m", "\u043d": "n", "\u043e": "o", "\u043f": "n", "\u0440": "p", "\u0441": "c", "\u0442": "o", "\u0443": "y", "\u0444": "b", "\u0445": "x", "\u0446": "n", "\u0447": "n", "\u0448": "w", "\u0449": "w", "\u044a": "a", "\u044b": "m", "\u044c": "a", "\u044d": "e", "\u044e": "m", "\u044f": "r" }; function N(e, t, r) { if (!T[t]) throw new Error("Font metrics not found for font: " + t + "."); let n = e.charCodeAt(0), o = T[t][n]; if (!o && e[0] in C && (n = C[e[0]].charCodeAt(0), o = T[t][n]), o || "text" !== r || S(n) && (o = T[t][77]), o) return { depth: o[0], height: o[1], italic: o[2], skew: o[3], width: o[4] } } const q = {}; const I = [[1, 1, 1], [2, 1, 1], [3, 1, 1], [4, 2, 1], [5, 2, 1], [6, 3, 1], [7, 4, 2], [8, 6, 3], [9, 7, 6], [10, 8, 7], [11, 10, 9]], R = [.5, .6, .7, .8, .9, 1, 1.2, 1.44, 1.728, 2.074, 2.488], H = function (e, t) { return t.size < 2 ? e : I[e - 1][t.size - 1] }; class O { constructor(e) { this.style = void 0, this.color = void 0, this.size = void 0, this.textSize = void 0, this.phantom = void 0, this.font = void 0, this.fontFamily = void 0, this.fontWeight = void 0, this.fontShape = void 0, this.sizeMultiplier = void 0, this.maxSize = void 0, this.minRuleThickness = void 0, this._fontMetrics = void 0, this.style = e.style, this.color = e.color, this.size = e.size || O.BASESIZE, this.textSize = e.textSize || this.size, this.phantom = !!e.phantom, this.font = e.font || "", this.fontFamily = e.fontFamily || "", this.fontWeight = e.fontWeight || "", this.fontShape = e.fontShape || "", this.sizeMultiplier = R[this.size - 1], this.maxSize = e.maxSize, this.minRuleThickness = e.minRuleThickness, this._fontMetrics = void 0 } extend(e) { const t = { style: this.style, size: this.size, textSize: this.textSize, color: this.color, phantom: this.phantom, font: this.font, fontFamily: this.fontFamily, fontWeight: this.fontWeight, fontShape: this.fontShape, maxSize: this.maxSize, minRuleThickness: this.minRuleThickness }; for (const r in e) e.hasOwnProperty(r) && (t[r] = e[r]); return new O(t) } havingStyle(e) { return this.style === e ? this : this.extend({ style: e, size: H(this.textSize, e) }) } havingCrampedStyle() { return this.havingStyle(this.style.cramp()) } havingSize(e) { return this.size === e && this.textSize === e ? this : this.extend({ style: this.style.text(), size: e, textSize: e, sizeMultiplier: R[e - 1] }) } havingBaseStyle(e) { e = e || this.style.text(); const t = H(O.BASESIZE, e); return this.size === t && this.textSize === O.BASESIZE && this.style === e ? this : this.extend({ style: e, size: t }) } havingBaseSizing() { let e; switch (this.style.id) { case 4: case 5: e = 3; break; case 6: case 7: e = 1; break; default: e = 6 }return this.extend({ style: this.style.text(), size: e }) } withColor(e) { return this.extend({ color: e }) } withPhantom() { return this.extend({ phantom: !0 }) } withFont(e) { return 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Re([], [e], t) : e }, makeVList: function (e, t) { const { children: r, depth: n } = function (e) { if ("individualShift" === e.positionType) { const t = e.children, r = [t[0]], n = -t[0].shift - t[0].elem.depth; let o = n; for (let e = 1; e < t.length; e++) { const n = -t[e].shift - o - t[e].elem.depth, s = n - (t[e - 1].elem.height + t[e - 1].elem.depth); o += n, r.push({ type: "kern", size: s }), r.push(t[e]) } return { children: r, depth: n } } let t; if ("top" === e.positionType) { let r = e.positionData; for (let t = 0; t < e.children.length; t++) { const n = e.children[t]; r -= "kern" === n.type ? n.size : n.elem.height + n.elem.depth } t = r } else if ("bottom" === e.positionType) t = -e.positionData; else { const r = e.children[0]; if ("elem" !== r.type) throw new Error('First child must have type "elem".'); if ("shift" === e.positionType) t = -r.elem.depth - e.positionData; else { if ("firstBaseline" !== e.positionType) throw new Error("Invalid positionType " + e.positionType + "."); t = -r.elem.depth } } return { children: e.children, depth: t } }(e); let o = 0; for (let e = 0; e < r.length; e++) { const t = r[e]; if ("elem" === t.type) { const e = t.elem; o = Math.max(o, e.maxFontSize, e.height) } } o += 2; const s = Re(["pstrut"], []); s.style.height = F(o); const i = []; let a = n, l = n, h = n; for (let e = 0; e < r.length; e++) { const t = r[e]; if ("kern" === t.type) h += t.size; else { const e = t.elem, r = t.wrapperClasses || [], n = t.wrapperStyle || {}, a = Re(r, [s, e], void 0, n); a.style.top = F(-o - h - e.depth), t.marginLeft && (a.style.marginLeft = t.marginLeft), t.marginRight && (a.style.marginRight = t.marginRight), i.push(a), h += e.height + e.depth } a = Math.min(a, h), l = Math.max(l, h) } const c = Re(["vlist"], i); let m; if (c.style.height = F(l), a < 0) { const e = Re([], []), t = Re(["vlist"], [e]); t.style.height = F(-a); const r = Re(["vlist-s"], [new Z("\u200b")]); m = [Re(["vlist-r"], [c, r]), Re(["vlist-r"], [t])] } else m = [Re(["vlist-r"], [c])]; const p = Re(["vlist-t"], m); return 2 === m.length && p.classes.push("vlist-t2"), p.height = l, p.depth = -a, p }, makeOrd: function (e, t, r) { const o = e.mode, s = e.text, i = ["mord"], a = "math" === o || "text" === o && t.font, l = a ? t.font : t.fontFamily; let h = "", c = ""; if (55349 === s.charCodeAt(0) && ([h, c] = function (e, t) { const r = 1024 * (e.charCodeAt(0) - 55296) + (e.charCodeAt(1) - 56320) + 65536, o = "math" === t ? 0 : 1; if (119808 <= r && r < 120484) { const e = Math.floor((r - 119808) / 26); return [Te[e][2], Te[e][o]] } if (120782 <= r && r <= 120831) { const e = Math.floor((r - 120782) / 10); return [Be[e][2], Be[e][o]] } if (120485 === r || 120486 === r) return [Te[0][2], Te[0][o]]; if (120486 < r && r < 120782) return ["", ""]; throw new n("Unsupported character: " + e) }(s, o)), h.length > 0) return Ne(s, h, o, t, i.concat(c)); if (l) { let e, n; if ("boldsymbol" === l) { const t = function (e, t, r, n, o) { return "textord" !== o && Ce(e, "Math-BoldItalic", t).metrics ? { fontName: "Math-BoldItalic", fontClass: "boldsymbol" } : { fontName: "Main-Bold", fontClass: "mathbf" } }(s, o, 0, 0, r); e = t.fontName, n = [t.fontClass] } else a ? (e = Le[l].fontName, n = [l]) : (e = Ee(l, t.fontWeight, t.fontShape), n = [l, t.fontWeight, t.fontShape]); if (Ce(s, e, o).metrics) return Ne(s, e, o, t, i.concat(n)); if (ve.hasOwnProperty(s) && "Typewriter" === e.slice(0, 10)) { const r = []; for (let a = 0; a < s.length; a++)r.push(Ne(s[a], e, o, t, i.concat(n))); return Oe(r) } } if ("mathord" === r) return Ne(s, "Math-Italic", o, t, i.concat(["mathnormal"])); if ("textord" === r) { const e = oe[o][s] && oe[o][s].font; if ("ams" === e) { const e = Ee("amsrm", t.fontWeight, t.fontShape); return Ne(s, e, o, t, i.concat("amsrm", t.fontWeight, t.fontShape)) } if ("main" !== e && e) { const r = Ee(e, t.fontWeight, t.fontShape); return Ne(s, r, o, t, i.concat(r, t.fontWeight, t.fontShape)) } { const e = Ee("textrm", t.fontWeight, t.fontShape); return Ne(s, e, o, t, i.concat(t.fontWeight, t.fontShape)) } } throw new Error("unexpected type: " + r + " in makeOrd") }, makeGlue: (e, t) => { const r = Re(["mspace"], [], t), n = P(e, t); return r.style.marginRight = F(n), r }, staticSvg: function (e, t) { const [r, n, o] = De[e], s = new J(r), i = new K([s], { width: F(n), height: F(o), style: "width:" + F(n), viewBox: "0 0 " + 1e3 * n + " " + 1e3 * o, preserveAspectRatio: "xMinYMin" }), a = He(["overlay"], [i], t); return a.height = o, a.style.height = F(o), a.style.width = F(n), a }, svgData: De, tryCombineChars: e => { for (let t = 0; t < e.length - 1; t++) { const r = e[t], n = e[t + 1]; r instanceof Z && n instanceof Z && qe(r, n) && (r.text += n.text, r.height = Math.max(r.height, n.height), r.depth = Math.max(r.depth, n.depth), r.italic = n.italic, e.splice(t + 1, 1), t--) } return e } }; const Pe = { number: 3, unit: "mu" }, Fe = { number: 4, unit: "mu" }, Ge = { number: 5, unit: "mu" }, Ue = { mord: { mop: Pe, mbin: Fe, mrel: Ge, minner: Pe }, mop: { mord: Pe, mop: Pe, mrel: Ge, minner: Pe }, mbin: { mord: Fe, mop: Fe, mopen: Fe, minner: Fe }, mrel: { mord: Ge, mop: Ge, mopen: Ge, minner: Ge }, mopen: {}, mclose: { mop: Pe, mbin: Fe, mrel: Ge, minner: Pe }, mpunct: { mord: Pe, mop: Pe, mrel: Ge, mopen: Pe, mclose: Pe, mpunct: Pe, minner: Pe }, minner: { mord: Pe, mop: Pe, mbin: Fe, mrel: Ge, mopen: Pe, mpunct: Pe, minner: Pe } }, Ye = { mord: { mop: Pe }, mop: { mord: Pe, mop: Pe }, mbin: {}, mrel: {}, mopen: {}, mclose: { mop: Pe }, mpunct: {}, minner: { mop: Pe } }, Xe = {}, We = {}, _e = {}; function je(e) { let { type: t, names: r, props: n, handler: o, htmlBuilder: s, mathmlBuilder: i } = e; const a = { type: t, numArgs: n.numArgs, argTypes: n.argTypes, allowedInArgument: !!n.allowedInArgument, allowedInText: !!n.allowedInText, allowedInMath: void 0 === n.allowedInMath || n.allowedInMath, numOptionalArgs: n.numOptionalArgs || 0, infix: !!n.infix, primitive: !!n.primitive, handler: o }; for (let e = 0; e < r.length; ++e)Xe[r[e]] = a; t && (s && (We[t] = s), i && (_e[t] = i)) } function $e(e) { let { type: t, htmlBuilder: r, mathmlBuilder: n } = e; je({ type: t, names: [], props: { numArgs: 0 }, handler() { throw new Error("Should never be called.") }, htmlBuilder: r, mathmlBuilder: n }) } const Ze = function (e) { return "ordgroup" === e.type && 1 === e.body.length ? e.body[0] : e }, Ke = function (e) { return "ordgroup" === e.type ? e.body : [e] }, Je = Ve.makeSpan, Qe = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"], et = ["rightmost", "mrel", "mclose", "mpunct"], tt = { display: w.DISPLAY, text: w.TEXT, script: w.SCRIPT, scriptscript: w.SCRIPTSCRIPT }, rt = { mord: "mord", mop: "mop", mbin: "mbin", mrel: "mrel", mopen: "mopen", mclose: "mclose", mpunct: "mpunct", minner: "minner" }, nt = function (e, t, r, n) { void 0 === n && (n = [null, null]); const o = []; for (let r = 0; r < e.length; r++) { const n = ht(e[r], t); if (n instanceof A) { const e = n.children; o.push(...e) } else o.push(n) } if (Ve.tryCombineChars(o), !r) return o; let s = t; if (1 === e.length) { const r = e[0]; "sizing" === r.type ? s = t.havingSize(r.size) : "styling" === r.type && (s = t.havingStyle(tt[r.style])) } const i = Je([n[0] || "leftmost"], [], t), a = Je([n[1] || "rightmost"], [], t), h = "root" === r; return ot(o, ((e, t) => { const r = t.classes[0], n = e.classes[0]; "mbin" === r && l.contains(et, n) ? t.classes[0] = "mord" : "mbin" === n && l.contains(Qe, r) && (e.classes[0] = "mord") }), { node: i }, a, h), ot(o, ((e, t) => { const r = at(t), n = at(e), o = r && n ? e.hasClass("mtight") ? Ye[r][n] : Ue[r][n] : null; if (o) return Ve.makeGlue(o, s) }), { node: i }, a, h), o }, ot = function (e, t, r, n, o) { n && e.push(n); let s = 0; for (; s < e.length; s++) { const n = e[s], i = st(n); if (i) { ot(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 = Je(["leftmost"])), r.insertAfter = (t => r => { e.splice(t + 1, 0, r), s++ })(s) } n && e.pop() }, st = function (e) { return e instanceof A || e instanceof _ || e instanceof W && e.hasClass("enclosing") ? e : null }, it = function (e, t) { const r = st(e); if (r) { const e = r.children; if (e.length) { if ("right" === t) return it(e[e.length - 1], "right"); if ("left" === t) return it(e[0], "left") } } return e }, at = function (e, t) { return e ? (t && (e = it(e, t)), rt[e.classes[0]] || null) : null }, lt = function (e, t) { const r = ["nulldelimiter"].concat(e.baseSizingClasses()); return Je(t.concat(r)) }, ht = function (e, t, r) { if (!e) return Je(); if (We[e.type]) { let n = We[e.type](e, t); if (r && t.size !== r.size) { n = Je(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 ct(e, t) { const r = Je(["base"], e, t), n = Je(["strut"]); return n.style.height = F(r.height + r.depth), r.depth && (n.style.verticalAlign = F(-r.depth)), r.children.unshift(n), r } function mt(e, t) { let r = null; 1 === e.length && "tag" === e[0].type && (r = e[0].tag, e = e[0].body); const n = nt(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(ct(a, t)), a = []) } else n[e].hasClass("newline") && (a.pop(), a.length > 0 && (s.push(ct(a, t)), a = []), s.push(n[e])); a.length > 0 && s.push(ct(a, t)), r ? (i = ct(nt(r, t, !0)), i.classes = ["tag"], s.push(i)) : o && s.push(o); const l = Je(["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 pt(e) { return new A(e) } class ut { 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++)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 dt { 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 gt = { MathNode: ut, TextNode: dt, 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 + " " : ' but got " + String(e) + ".") }(ht(e, t)), e.base = n) : (n = qt(e, "accent"), r = n.base); const s = ht(r, t.havingCrampedStyle()); let i = 0; if (n.isShifty && l.isCharacterBox(r)) { const e = l.getBaseElem(r); i = ee(ht(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 = Nt(n, t), h = Ve.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 = Ve.staticSvg("vec", t), r = Ve.svgData.vec[1]) : (e = Ve.makeOrd({ mode: n.mode, text: n.label }, t, "textord"), e = ee(e), e.italic = 0, r = e.width, a && (c += e.depth)), h = Ve.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 = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: s }, { type: "kern", size: -c }, { type: "elem", elem: h }] }, t) } const m = Ve.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 }, Ot = (e, t) => { const r = e.isStretchy ? Ct(e.label) : new gt.MathNode("mo", [ft(e.label, e.mode)]), n = new gt.MathNode("mover", [vt(e.base, t), r]); return n.setAttribute("accent", "true"), n }, Et = new RegExp(["\\acute", "\\grave", "\\ddot", "\\tilde", "\\bar", "\\breve", "\\check", "\\hat", "\\vec", "\\dot", "\\mathring"].map((e => "\\" + e)).join("|")); je({ 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 = Ze(t[0]), n = !Et.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: Ht, mathmlBuilder: Ot }), je({ 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: Ht, mathmlBuilder: Ot }), je({ 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 = ht(e.base, t), n = Nt(e, t), o = "\\utilde" === e.label ? .12 : 0, s = Ve.makeVList({ positionType: "top", positionData: r.height, children: [{ type: "elem", elem: n, wrapperClasses: ["svg-align"] }, { type: "kern", size: o }, { type: "elem", elem: r }] }, t); return Ve.makeSpan(["mord", "accentunder"], [s], t) }, mathmlBuilder: (e, t) => { const r = Ct(e.label), n = new gt.MathNode("munder", [vt(e.base, t), r]); return n.setAttribute("accentunder", "true"), n } }); const Lt = e => { const t = new gt.MathNode("mpadded", e ? [e] : []); return t.setAttribute("width", "+0.6em"), t.setAttribute("lspace", "0.3em"), t }; je({ 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 = Ve.wrapFragment(ht(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 = Ve.wrapFragment(ht(e.below, n, t), t), i.classes.push(s + "-arrow-pad")); const a = Nt(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 = Ve.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 = Ve.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"), Ve.makeSpan(["mrel", "x-arrow"], [h], t) }, mathmlBuilder(e, t) { const r = Ct(e.label); let n; if (r.setAttribute("minsize", "x" === e.label.charAt(0) ? "1.75em" : "3.0em"), e.body) { const o = Lt(vt(e.body, t)); if (e.below) { const s = Lt(vt(e.below, t)); n = new gt.MathNode("munderover", [r, s, o]) } else n = new gt.MathNode("mover", [r, o]) } else if (e.below) { const o = Lt(vt(e.below, t)); n = new gt.MathNode("munder", [r, o]) } else n = Lt(), n = new gt.MathNode("mover", [r, n]); return n } }); const Dt = Ve.makeSpan; function Vt(e, t) { const r = nt(e.body, t, !0); return Dt([e.mclass], r, t) } function Pt(e, t) { let r; const n = xt(e.body, t); return "minner" === e.mclass ? r = new gt.MathNode("mpadded", n) : "mord" === e.mclass ? e.isCharacterBox ? (r = n[0], r.type = "mi") : r = new gt.MathNode("mi", n) : (e.isCharacterBox ? (r = n[0], r.type = "mo") : r = new gt.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 } je({ 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: Ke(o), isCharacterBox: l.isCharacterBox(o) } }, htmlBuilder: Vt, mathmlBuilder: Pt }); const Ft = 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 }; je({ type: "mclass", names: ["\\@binrel"], props: { numArgs: 2 }, handler(e, t) { let { parser: r } = e; return { type: "mclass", mode: r.mode, mclass: Ft(t[0]), body: Ke(t[1]), isCharacterBox: l.isCharacterBox(t[1]) } } }), je({ 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 ? Ft(o) : "mrel"; const a = { type: "op", mode: o.mode, limits: !0, alwaysHandleSupSub: !0, parentIsSupSub: !1, symbol: !1, suppressBaseShift: "\\stackrel" !== n, body: Ke(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: Vt, mathmlBuilder: Pt }), je({ type: "pmb", names: ["\\pmb"], props: { numArgs: 1, allowedInText: !0 }, handler(e, t) { let { parser: r } = e; return { type: "pmb", mode: r.mode, mclass: Ft(t[0]), body: Ke(t[0]) } }, htmlBuilder(e, t) { const r = nt(e.body, t, !0), n = Ve.makeSpan([e.mclass], r, t); return n.style.textShadow = "0.02em 0.01em 0.04px", n }, mathmlBuilder(e, t) { const r = xt(e.body, t), n = new gt.MathNode("mstyle", r); return n.setAttribute("style", "text-shadow: 0.02em 0.01em 0.04px"), n } }); const Gt = { ">": "\\\\cdrightarrow", "<": "\\\\cdleftarrow", "=": "\\\\cdlongequal", A: "\\uparrow", V: "\\downarrow", "|": "\\Vert", ".": "no arrow" }, Ut = e => "textord" === e.type && "@" === e.text; function Yt(e, t, r) { const n = Gt[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" } } } je({ 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 = Ve.wrapFragment(ht(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 gt.MathNode("mrow", [vt(e.label, t)]); return r = new gt.MathNode("mpadded", [r]), r.setAttribute("width", "0"), "left" === e.side && r.setAttribute("lspace", "-1width"), r.setAttribute("voffset", "0.7em"), r = new gt.MathNode("mstyle", [r]), r.setAttribute("displaystyle", "false"), r.setAttribute("scriptlevel", "1"), r } }), je({ 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 = Ve.wrapFragment(ht(e.fragment, t), t); return r.classes.push("cd-vert-arrow"), r }, mathmlBuilder(e, t) { return new gt.MathNode("mrow", [vt(e.fragment, t)]) } }), je({ type: "textord", names: ["\\@char"], props: { numArgs: 1, allowedInText: !0 }, handler(e, t) { let { parser: r } = e; const o = qt(t[0], "ordgroup").body; let s = ""; for (let e = 0; e < o.length; e++) { s += qt(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 Xt = (e, t) => { const r = nt(e.body, t.withColor(e.color), !1); return Ve.makeFragment(r) }, Wt = (e, t) => { const r = xt(e.body, t.withColor(e.color)), n = new gt.MathNode("mstyle", r); return n.setAttribute("mathcolor", e.color), n }; je({ type: "color", names: ["\\textcolor"], props: { numArgs: 2, allowedInText: !0, argTypes: ["color", "original"] }, handler(e, t) { let { parser: r } = e; const n = qt(t[0], "color-token").color, o = t[1]; return { type: "color", mode: r.mode, color: n, body: Ke(o) } }, htmlBuilder: Xt, mathmlBuilder: Wt }), je({ type: "color", names: ["\\color"], props: { numArgs: 1, allowedInText: !0, argTypes: ["color"] }, handler(e, t) { let { parser: r, breakOnTokenText: n } = e; const o = qt(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: Xt, mathmlBuilder: Wt }), je({ 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 && qt(o, "size").value } }, htmlBuilder(e, t) { const r = Ve.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 gt.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" }, jt = e => { const t = e.text; if (/^(?:[\\{}$&#^_]|EOF)$/.test(t)) throw new n("Expected a control sequence", e); return t }, $t = (e, t, r, n) => { let o = e.gullet.macros.get(r.text); null == o && (r.noexpand = !0, o = { tokens: [r], numArgs: 0, unexpandable: !e.gullet.isExpandable(r.text) }), e.gullet.macros.set(t, o, n) }; je({ type: "internal", names: ["\\global", "\\long", "\\\\globallong"], props: { numArgs: 0, allowedInText: !0 }, handler(e) { let { parser: t, funcName: r } = e; t.consumeSpaces(); const o = t.fetch(); if (_t[o.text]) return "\\global" !== r && "\\\\globallong" !== r || (o.text = _t[o.text]), qt(t.parseFunction(), "internal"); throw new n("Invalid token after macro prefix", o) } }), je({ type: "internal", names: ["\\def", "\\gdef", "\\edef", "\\xdef"], props: { numArgs: 0, allowedInText: !0, primitive: !0 }, handler(e) { let { parser: t, funcName: r } = e, o = t.gullet.popToken(); const s = o.text; if (/^(?:[\\{}$&#^_]|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 } } }), je({ type: "internal", names: ["\\let", "\\\\globallet"], props: { numArgs: 0, allowedInText: !0, primitive: !0 }, handler(e) { let { parser: t, funcName: r } = e; const n = jt(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 $t(t, n, o, "\\\\globallet" === r), { type: "internal", mode: t.mode } } }), je({ type: "internal", names: ["\\futurelet", "\\\\globalfuture"], props: { numArgs: 0, allowedInText: !0, primitive: !0 }, handler(e) { let { parser: t, funcName: r } = e; const n = jt(t.gullet.popToken()), o = t.gullet.popToken(), s = t.gullet.popToken(); return $t(t, n, s, "\\\\globalfuture" === r), t.gullet.pushToken(s), t.gullet.pushToken(o), { type: "internal", mode: t.mode } } }); const Zt = function (e, t, r) { const n = N(oe.math[e] && oe.math[e].replace || e, t, r); if (!n) throw new Error("Unsupported symbol " + e + " and font size " + t + "."); return n }, Kt = function (e, t, r, n) { const o = r.havingBaseStyle(t), s = Ve.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 }, Jt = 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 }, Qt = function (e, t, r, n, o, s) { const i = function (e, t, r, n) { return Ve.makeSymbol(e, "Size" + t + "-Regular", r, n) }(e, t, o, n), a = Kt(Ve.makeSpan(["delimsizing", "size" + t], [i], n), w.TEXT, n, s); return r && Jt(a, n, w.TEXT), a }, er = function (e, t, r) { let n; n = "Size1-Regular" === t ? "delim-size1" : "delim-size4"; return { type: "elem", elem: Ve.makeSpan(["delimsizinginner", n], [Ve.makeSpan([], [Ve.makeSymbol(e, t, r)])]) } }, tr = 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 J("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 K([o], { width: F(n), height: F(t), style: "width:" + F(n), viewBox: "0 0 " + 1e3 * n + " " + Math.round(1e3 * t), preserveAspectRatio: "xMinYMin" }), i = Ve.makeSvgSpan([], [s], r); return i.height = t, i.style.height = F(t), i.style.width = F(n), { type: "elem", elem: i } }, rr = { type: "kern", size: -.008 }, nr = ["|", "\\lvert", "\\rvert", "\\vert"], or = ["\\|", "\\lVert", "\\rVert", "\\Vert"], sr = 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(nr, e) ? (h = "\u2223", m = "vert", p = 333) : l.contains(or, 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 = Zt(i, u, o), g = d.height + d.depth, f = Zt(h, u, o), b = f.height + f.depth, y = Zt(c, u, o), x = y.height + y.depth; let v = 0, k = 1; if (null !== a) { const e = Zt(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 J(m, r), s = (p / 1e3).toFixed(3) + "em", i = (t / 1e3).toFixed(3) + "em", a = new K([o], { width: s, height: i, viewBox: "0 0 " + p + " " + t }), l = Ve.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(er(c, u, o)), T.push(rr), null === a) { const e = M - g - x + .016; T.push(tr(h, e, n)) } else { const e = (M - g - x - v) / 2 + .016; T.push(tr(h, e, n)), T.push(rr), T.push(er(a, u, o)), T.push(rr), T.push(tr(h, e, n)) } T.push(rr), T.push(er(i, u, o)) } const B = n.havingBaseStyle(w.TEXT), C = Ve.makeVList({ positionType: "bottom", positionData: A, children: T }, B); return Kt(Ve.makeSpan(["delimsizing", "mult"], [C], B), w.TEXT, n, s) }, ir = .08, ar = 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 J(e, s), a = new K([i], { width: "400em", height: F(t), viewBox: "0 0 400000 " + r, preserveAspectRatio: "xMinYMin slice" }); return Ve.makeSvgSpan(["hide-tail"], [a], o) }, lr = ["(", "\\lparen", ")", "\\rparen", "[", "\\lbrack", "]", "\\rbrack", "\\{", "\\lbrace", "\\}", "\\rbrace", "\\lfloor", "\\rfloor", "\u230a", "\u230b", "\\lceil", "\\rceil", "\u2308", "\u2309", "\\surd"], hr = ["\\uparrow", "\\downarrow", "\\updownarrow", "\\Uparrow", "\\Downarrow", "\\Updownarrow", "|", "\\|", "\\vert", "\\Vert", "\\lvert", "\\rvert", "\\lVert", "\\rVert", "\\lgroup", "\\rgroup", "\u27ee", "\u27ef", "\\lmoustache", "\\rmoustache", "\u23b0", "\u23b1"], cr = ["<", ">", "\\langle", "\\rangle", "/", "\\backslash", "\\lt", "\\gt"], mr = [0, 1.2, 1.8, 2.4, 3], pr = [{ 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 }], ur = [{ type: "small", style: w.SCRIPTSCRIPT }, { type: "small", style: w.SCRIPT }, { type: "small", style: w.TEXT }, { type: "stack" }], 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 }, { type: "stack" }], gr = 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.") }, fr = 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 = Zt(e, gr(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] }, br = 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(cr, e) ? pr : l.contains(lr, e) ? dr : ur; const a = fr(e, t, i, n); return "small" === a.type ? function (e, t, r, n, o, s) { const i = Ve.makeSymbol(e, "Main-Regular", o, n), a = Kt(i, t, n, s); return r && Jt(a, n, t), a }(e, a.style, r, n, o, s) : "large" === a.type ? Qt(e, a.size, r, n, o, s) : sr(e, t, r, n, o, s) }; var yr = { sqrtImage: function (e, t) { const r = t.havingBaseSizing(), n = fr("\\surd", e * r.sizeMultiplier, dr, 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 + ir) / o, h = (1 + s) / o, i = ar("sqrtMain", l, c, s, t), i.style.minWidth = "0.853em", a = .833 / o) : "large" === n.type ? (c = 1080 * mr[n.size], h = (mr[n.size] + s) / o, l = (mr[n.size] + s + ir) / o, i = ar("sqrtSize" + n.size, l, c, s, t), i.style.minWidth = "1.02em", a = 1 / o) : (l = e + s + ir, h = e + s, c = Math.floor(1e3 * e + s) + 80, i = ar("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(lr, e) || l.contains(cr, e)) return Qt(e, t, !1, r, o, s); if (l.contains(hr, e)) return sr(e, mr[t], !1, r, o, s); throw new n("Illegal delimiter: '" + e + "'") }, sizeToMaxHeight: mr, customSizedDelim: br, 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 br(e, h, !0, n, o, s) } }; const xr = { "\\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 } }, wr = ["(", "\\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 vr(e, t) { const r = Rt(e); if (r && l.contains(wr, r.text)) return r; throw new n(r ? 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Ve.makeSpan([e.mclass]) : yr.sizedDelim(e.delim, e.size, t, e.mode, [e.mclass]), mathmlBuilder: e => { const t = []; "." !== e.delim && t.push(ft(e.delim, e.mode)); const r = new gt.MathNode("mo", t); "mopen" === e.mclass || "mclose" === e.mclass ? r.setAttribute("fence", "true") : r.setAttribute("fence", "false"), r.setAttribute("stretchy", "true"); const n = F(yr.sizeToMaxHeight[e.size]); return r.setAttribute("minsize", n), r.setAttribute("maxsize", n), r } }), je({ 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: vr(t[0], e).text, color: r } } }), je({ type: "leftright", names: ["\\left"], props: { numArgs: 1, primitive: !0 }, handler: (e, t) => { const r = vr(t[0], e), n = e.parser; ++n.leftrightDepth; const o = n.parseExpression(!1); --n.leftrightDepth, n.expect("\\right", !1); const s = qt(n.parseFunction(), "leftright-right"); return { type: "leftright", mode: n.mode, body: o, left: r.text, right: s.delim, rightColor: s.color } }, htmlBuilder: (e, t) => { kr(e); const r = nt(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 ? lt(t, ["mopen"]) : yr.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] = yr.leftRightDelim(n.delim, s, i, n.options, e.mode, [])) } if ("." === e.right) o = lt(t, ["mclose"]); else { const r = e.rightColor ? t.withColor(e.rightColor) : t; o = yr.leftRightDelim(e.right, s, i, r, e.mode, ["mclose"]) } return r.push(o), Ve.makeSpan(["minner"], r, t) }, mathmlBuilder: (e, t) => { kr(e); const r = xt(e.body, t); if ("." !== e.left) { const t = new gt.MathNode("mo", [ft(e.left, e.mode)]); t.setAttribute("fence", "true"), r.unshift(t) } if ("." !== e.right) { const t = new gt.MathNode("mo", [ft(e.right, e.mode)]); t.setAttribute("fence", "true"), e.rightColor && t.setAttribute("mathcolor", e.rightColor), r.push(t) } return bt(r) } }), je({ type: "middle", names: ["\\middle"], props: { numArgs: 1, primitive: !0 }, handler: (e, t) => { const r = vr(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 = lt(t, []); else { r = yr.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 ? ft("|", "text") : ft(e.delim, e.mode), n = new gt.MathNode("mo", [r]); return n.setAttribute("fence", "true"), n.setAttribute("lspace", "0.05em"), n.setAttribute("rspace", "0.05em"), n } }); const Sr = (e, t) => { const r = Ve.wrapFragment(ht(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 = Ve.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 K([new J("phase", c)], { width: "400em", height: F(l / 1e3), viewBox: "0 0 400000 " + l, preserveAspectRatio: "xMinYMin slice" }); o = Ve.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 = Bt(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 = Ve.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 = Ve.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 ? Ve.makeSpan(["mord", "cancel-lap"], [c], t) : Ve.makeSpan(["mord"], [c], t) }, Mr = (e, t) => { let r = 0; const n = new gt.MathNode(e.label.indexOf("colorbox") > -1 ? "mpadded" : "menclose", [vt(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 }; je({ type: "enclose", names: ["\\colorbox"], props: { numArgs: 2, allowedInText: !0, argTypes: ["color", "text"] }, handler(e, t, r) { let { parser: n, funcName: o } = e; const s = qt(t[0], "color-token").color, i = t[1]; return { type: "enclose", mode: n.mode, label: o, backgroundColor: s, body: i } }, htmlBuilder: Sr, mathmlBuilder: Mr }), je({ 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 = qt(t[0], "color-token").color, i = qt(t[1], "color-token").color, a = t[2]; return { type: "enclose", mode: n.mode, label: o, backgroundColor: i, borderColor: s, body: a } }, htmlBuilder: Sr, mathmlBuilder: Mr }), je({ 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] } } }), je({ 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: Sr, mathmlBuilder: Mr }), je({ 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 zr = {}; function Ar(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)zr[r[e]] = a; s && (We[t] = s), i && (_e[t] = i) } const Tr = {}; function Br(e, t) { Tr[e] = t } class Cr { 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 Cr(e.loc.lexer, e.loc.start, t.loc.end) : null : e && e.loc } } class Nr { 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 Nr(t, Cr.range(this, e)) } } function qr(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 Ir = e => { if (!e.parser.settings.displayMode) throw new n("{" + e.envName + "} can be used only in display mode.") }; function Rr(e) { if (-1 === e.indexOf("ed")) return -1 === e.indexOf("*") } function Hr(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 ? 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"\\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(qr(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 Or(e) { return "d" === e.slice(0, 1) ? 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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 = ht(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 ? Ve.makeSpan(["eqn-num"], [], t) : !1 === s ? Ve.makeSpan([], [], t) : Ve.makeSpan([], nt(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 = Ve.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 ? 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(l += Lr[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 gt.MathNode("menclose", [s]), s.setAttribute("notation", a.trim())), e.arraystretch && e.arraystretch < 1 && (s = new gt.MathNode("mstyle", [s]), s.setAttribute("scriptlevel", "1")), s }, Vr = function (e, t) { -1 === e.envName.indexOf("ed") && Ir(e); const r = [], o = e.envName.indexOf("at") > -1 ? "alignat" : "align", s = "split" === e.envName, i = Hr(e.parser, { cols: r, addJot: !0, autoTag: s ? void 0 : Rr(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 += qt(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 = qt(e[t], "styling"); qt(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 }; Ar({ type: "array", names: ["array", "darray"], props: { numArgs: 1 }, handler(e, t) { const r = (Rt(t[0]) ? [t[0]] : qt(t[0], "ordgroup").body).map((function (e) { const t = It(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 Hr(e.parser, o, Or(e.envName)) }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ 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 = Hr(e.parser, o, Or(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: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["smallmatrix"], props: { numArgs: 0 }, handler(e) { const t = Hr(e.parser, { arraystretch: .5 }, "script"); return t.colSeparationType = "small", t }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["subarray"], props: { numArgs: 1 }, handler(e, t) { const r = (Rt(t[0]) ? [t[0]] : qt(t[0], "ordgroup").body).map((function (e) { const t = It(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 = Hr(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: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["cases", "dcases", "rcases", "drcases"], props: { numArgs: 0 }, handler(e) { const t = Hr(e.parser, { arraystretch: 1.2, cols: [{ type: "align", align: "l", pregap: 0, postgap: 1 }, { type: "align", align: "l", pregap: 0, postgap: 0 }] }, Or(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: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["align", "align*", "aligned", "split"], props: { numArgs: 0 }, handler: Vr, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["gathered", "gather", "gather*"], props: { numArgs: 0 }, handler(e) { l.contains(["gather", "gather*"], e.envName) && Ir(e); const t = { cols: [{ type: "align", align: "c" }], addJot: !0, colSeparationType: "gather", autoTag: Rr(e.envName), emptySingleRow: !0, leqno: e.parser.settings.leqno }; return Hr(e.parser, t, "display") }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["alignat", "alignat*", "alignedat"], props: { numArgs: 1 }, handler: Vr, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["equation", "equation*"], props: { numArgs: 0 }, handler(e) { Ir(e); const t = { autoTag: Rr(e.envName), emptySingleRow: !0, singleRow: !0, maxNumCols: 1, leqno: e.parser.settings.leqno }; return Hr(e.parser, t, "display") }, htmlBuilder: Er, mathmlBuilder: Dr }), Ar({ type: "array", names: ["CD"], props: { numArgs: 0 }, handler(e) { return Ir(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 (Ut(l[t])) { r.push(h), t += 1; const o = It(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 (Ut(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: [Yt(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: Er, mathmlBuilder: Dr }), Br("\\nonumber", "\\gdef\\@eqnsw{0}"), Br("\\notag", "\\nonumber"), je({ 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 Pr = zr; je({ 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 += qt(s.body[e], "textord").text; if ("\\begin" === o) { if (!Pr.hasOwnProperty(i)) throw new n("No such environment: " + i, s); const e = Pr[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 = qt(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 Fr = (e, t) => { const r = e.font, n = t.withFont(r); return ht(e.body, n) }, Gr = (e, t) => { const r = e.font, n = t.withFont(r); return vt(e.body, n) }, Ur = { "\\Bbb": "\\mathbb", "\\bold": "\\mathbf", "\\frak": "\\mathfrak", "\\bm": "\\boldsymbol" }; je({ type: "font", names: ["\\mathrm", "\\mathit", "\\mathbf", "\\mathnormal", "\\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 = Ze(t[0]); let s = n; return s in Ur && (s = Ur[s]), { type: "font", mode: r.mode, font: s.slice(1), body: o } }, htmlBuilder: Fr, mathmlBuilder: Gr }), je({ 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: Ft(n), body: [{ type: "font", mode: r.mode, font: "boldsymbol", body: n }], isCharacterBox: o } } }), je({ 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: Fr, mathmlBuilder: Gr }); const Yr = (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 }, Xr = (e, t) => { const r = Yr(e.size, t.style), n = r.fracNum(), o = r.fracDen(); let s; s = t.havingStyle(n); const i = ht(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 = ht(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 = Ve.makeLineSpan("frac-line", t, h)) : l = Ve.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 = Ve.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 = Ve.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 ? lt(t, ["mopen"]) : yr.customSizedDelim(e.leftDelim, g, !0, t.havingStyle(r), e.mode, ["mopen"]), b = e.continued ? Ve.makeSpan([]) : null == e.rightDelim ? lt(t, ["mclose"]) : yr.customSizedDelim(e.rightDelim, g, !0, t.havingStyle(r), e.mode, ["mclose"]), Ve.makeSpan(["mord"].concat(s.sizingClasses(t)), [f, Ve.makeSpan(["mfrac"], [d]), b], t) }, Wr = (e, t) => { let r = new gt.MathNode("mfrac", [vt(e.numer, t), vt(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 = Yr(e.size, t.style); if (n.size !== t.style.size) { r = new gt.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 gt.MathNode("mo", [new gt.TextNode(e.leftDelim.replace("\\", ""))]); r.setAttribute("fence", "true"), t.push(r) } if (t.push(r), null != e.rightDelim) { const r = new gt.MathNode("mo", [new gt.TextNode(e.rightDelim.replace("\\", ""))]); r.setAttribute("fence", "true"), t.push(r) } return bt(t) } return r }; je({ 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: Xr, mathmlBuilder: Wr }), je({ 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 } } }), je({ 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"], jr = function (e) { let t = null; return e.length > 0 && (t = e, t = "." === t ? null : t), t }; je({ 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 = Ze(t[0]), i = "atom" === s.type && "open" === s.family ? jr(s.text) : null, a = Ze(t[1]), l = "atom" === a.type && "close" === a.family ? jr(a.text) : null, h = qt(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 = qt(u.body[0], "textord"); p = _r[Number(e.text)] } } else u = qt(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: Xr, mathmlBuilder: Wr }), je({ 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: qt(t[0], "size").value, token: o } } }), je({ 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 }(qt(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: Xr, mathmlBuilder: Wr }); const $r = (e, t) => { const r = t.style; let n, o; "supsub" === e.type ? (n = e.sup ? ht(e.sup, t.havingStyle(r.sup()), t) : ht(e.sub, t.havingStyle(r.sub()), t), o = qt(e.base, "horizBrace")) : o = qt(e, "horizBrace"); const s = ht(o.base, t.havingBaseStyle(w.DISPLAY)), i = Nt(o, t); let a; if (o.isOver ? (a = Ve.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 = Ve.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 = Ve.makeSpan(["mord", o.isOver ? "mover" : "munder"], [a], t); a = o.isOver ? Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: e }, { type: "kern", size: .2 }, { type: "elem", elem: n }] }, t) : Ve.makeVList({ positionType: "bottom", positionData: e.depth + .2 + n.height + n.depth, children: [{ type: "elem", elem: n }, { type: "kern", size: .2 }, { type: "elem", elem: e }] }, t) } return Ve.makeSpan(["mord", o.isOver ? "mover" : "munder"], [a], t) }; je({ type: "horizBrace", names: ["\\overbrace", "\\underbrace"], props: { numArgs: 1 }, handler(e, t) { let { parser: r, funcName: n } = e; return { type: "horizBrace", mode: r.mode, label: n, isOver: /^\\over/.test(n), base: t[0] } }, htmlBuilder: $r, mathmlBuilder: (e, t) => { const r = Ct(e.label); return new gt.MathNode(e.isOver ? 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Ve.makeFragment(nt(e.body, t, !1)) : Ve.makeSpan(["mord"], nt(e.body, t, !0), t) }, mathmlBuilder(e, t) { return wt(e.body, t, !0) } }), je({ 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 = ht(e.body, t.havingCrampedStyle()), n = Ve.makeLineSpan("overline-line", t), o = t.fontMetrics().defaultRuleThickness, s = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }, { type: "kern", size: 3 * o }, { type: "elem", elem: n }, { type: "kern", size: o }] }, t); return Ve.makeSpan(["mord", "overline"], [s], t) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mo", [new gt.TextNode("\u203e")]); r.setAttribute("stretchy", "true"); const n = new gt.MathNode("mover", [vt(e.body, t), r]); return n.setAttribute("accent", "true"), n } }), je({ 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: Ke(n) } }, htmlBuilder: (e, t) => { const r = nt(e.body, t.withPhantom(), !1); return Ve.makeFragment(r) }, mathmlBuilder: (e, t) => { const r = xt(e.body, t); return new gt.MathNode("mphantom", r) } }), je({ 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 = Ve.makeSpan([], [ht(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 = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }] }, t), Ve.makeSpan(["mord"], [r], t) }, mathmlBuilder: (e, t) => { const r = xt(Ke(e.body), t), n = new gt.MathNode("mphantom", r), o = new gt.MathNode("mpadded", [n]); return o.setAttribute("height", "0px"), o.setAttribute("depth", "0px"), o } }), je({ 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 = Ve.makeSpan(["inner"], [ht(e.body, t.withPhantom())]), n = Ve.makeSpan(["fix"], []); return Ve.makeSpan(["mord", "rlap"], [r, n], t) }, mathmlBuilder: (e, t) => { const r = xt(Ke(e.body), t), n = new gt.MathNode("mphantom", r), o = new gt.MathNode("mpadded", [n]); return o.setAttribute("width", "0px"), o } }), je({ type: "raisebox", names: ["\\raisebox"], props: { numArgs: 2, argTypes: ["size", "hbox"], allowedInText: !0 }, handler(e, t) { let { parser: r } = e; const n = qt(t[0], "size").value, o = t[1]; return { type: "raisebox", mode: r.mode, dy: n, body: o } }, htmlBuilder(e, t) { const r = ht(e.body, t), n = P(e.dy, t); return Ve.makeVList({ positionType: "shift", positionData: -n, children: [{ type: "elem", elem: r }] }, t) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mpadded", [vt(e.body, t)]), n = e.dy.number + e.dy.unit; return r.setAttribute("voffset", n), r } }), je({ type: "internal", names: ["\\relax"], props: { numArgs: 0, allowedInText: !0 }, handler(e) { let { parser: t } = e; return { type: "internal", mode: t.mode } } }), je({ type: "rule", names: ["\\rule"], props: { numArgs: 2, numOptionalArgs: 1, argTypes: ["size", "size", "size"] }, handler(e, t, r) { let { parser: n } = e; const o = r[0], s = qt(t[0], "size"), i = qt(t[1], "size"); return { type: "rule", mode: n.mode, shift: o && qt(o, "size").value, width: s.value, height: i.value } }, htmlBuilder(e, t) { const r = Ve.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 gt.MathNode("mspace"); i.setAttribute("mathbackground", s), i.setAttribute("width", F(r)), i.setAttribute("height", F(n)); const a = new gt.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 an = ["\\tiny", "\\sixptsize", "\\scriptsize", "\\footnotesize", "\\small", "\\normalsize", "\\large", "\\Large", "\\LARGE", "\\huge", "\\Huge"]; je({ type: "sizing", names: an, 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: an.indexOf(n) + 1, body: s } }, htmlBuilder: (e, t) => { const r = t.havingSize(e.size); return sn(e.body, r, t) }, mathmlBuilder: (e, t) => { const r = t.havingSize(e.size), n = xt(e.body, r), o = new gt.MathNode("mstyle", n); return o.setAttribute("mathsize", F(r.sizeMultiplier)), o } }), je({ 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] && qt(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 = Ve.makeSpan([], [ht(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 = Ve.makeVList({ positionType: "firstBaseline", children: [{ type: "elem", elem: r }] }, t); return Ve.makeSpan(["mord"], [n], t) }, mathmlBuilder: (e, t) => { const r = new gt.MathNode("mpadded", [vt(e.body, t)]); return e.smashHeight && r.setAttribute("height", "0px"), e.smashDepth && r.setAttribute("depth", "0px"), r } }), je({ 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 = ht(e.body, t.havingCrampedStyle()); 0 === r.height && (r.height = t.fontMetrics().xHeight), r = Ve.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 } = yr.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 = Ve.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 = ht(e.index, r, t), o = .6 * (p.height - p.depth), s = Ve.makeVList({ positionType: "shift", positionData: -o, children: [{ type: "elem", elem: n }] }, t), i = Ve.makeSpan(["root"], [s]); return Ve.makeSpan(["mord", "sqrt"], [i, p], t) } return Ve.makeSpan(["mord", "sqrt"], [p], t) }, mathmlBuilder(e, t) { const { body: r, index: n } = e; return n ? new gt.MathNode("mroot", [vt(r, t), vt(n, t)]) : new gt.MathNode("msqrt", [vt(r, t)]) } }); const ln = { display: w.DISPLAY, text: w.TEXT, script: w.SCRIPT, scriptscript: w.SCRIPTSCRIPT }; je({ 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 = ln[e.style], n = t.havingStyle(r).withFont(""); return sn(e.body, n, t) }, mathmlBuilder(e, t) { const r = ln[e.style], n = t.havingStyle(r), o = xt(e.body, n), s = new gt.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 } }); $e({ 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) ? en : null : "operatorname" === r.type ? r.alwaysHandleSupSub && (t.style.size === w.DISPLAY.size || r.limits) ? on : null : "accent" === r.type ? l.isCharacterBox(r.base) ? Ht : null : "horizBrace" === r.type && !e.sub === r.isOver ? $r : null; return null }(e, t); if (r) return r(e, t); const { base: n, sup: o, sub: s } = e, i = ht(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 = ht(o, e, t), u || (m = i.height - e.fontMetrics().supDrop * e.sizeMultiplier / t.sizeMultiplier) } if (s) { const e = t.havingStyle(t.style.sub()); h = ht(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 Z || 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 = Ve.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 = Ve.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 = Ve.makeVList({ positionType: "shift", positionData: -m, children: [{ type: "elem", elem: a, marginRight: f }] }, t) } const x = at(i, "right") || "mord"; return Ve.makeSpan([x], [i, Ve.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 = [vt(e.base, t)]; let i; if (e.sub && s.push(vt(e.sub, t)), e.sup && s.push(vt(e.sup, t)), o) i = r ? "mover" : "munder"; else if (e.sub) if (e.sup) { const r = e.base; i = r && "op" === r.type && r.limits && t.style === w.DISPLAY || r && "operatorname" === r.type && r.alwaysHandleSupSub && (t.style === w.DISPLAY || r.limits) ? "munderover" : "msubsup" } else { const r = e.base; i = r && "op" === r.type && r.limits && (t.style === w.DISPLAY || r.alwaysHandleSupSub) || r && "operatorname" === r.type && r.alwaysHandleSupSub && (r.limits || t.style === w.DISPLAY) ? "munder" : "msub" } else { const r = e.base; i = r && "op" === r.type && r.limits && (t.style === w.DISPLAY || r.alwaysHandleSupSub) || r && "operatorname" === r.type && r.alwaysHandleSupSub && (r.limits || t.style === w.DISPLAY) ? "mover" : "msup" } return new gt.MathNode(i, s) } }), $e({ type: "atom", htmlBuilder(e, t) { return Ve.mathsym(e.text, e.mode, t, ["m" + e.family]) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mo", [ft(e.text, e.mode)]); if ("bin" === e.family) { const n = yt(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 hn = { mi: "italic", mn: "normal", mtext: "normal" }; $e({ type: "mathord", htmlBuilder(e, t) { return Ve.makeOrd(e, t, "mathord") }, mathmlBuilder(e, t) { const r = new gt.MathNode("mi", [ft(e.text, e.mode, t)]), n = yt(e, t) || "italic"; return n !== hn[r.type] && r.setAttribute("mathvariant", n), r } }), $e({ type: "textord", htmlBuilder(e, t) { return Ve.makeOrd(e, t, "textord") }, mathmlBuilder(e, t) { const r = ft(e.text, e.mode, t), n = yt(e, t) || "normal"; let o; return o = "text" === e.mode ? new gt.MathNode("mtext", [r]) : /[0-9]/.test(e.text) ? new gt.MathNode("mn", [r]) : "\\prime" === e.text ? new gt.MathNode("mo", [r]) : new gt.MathNode("mi", [r]), n !== hn[o.type] && o.setAttribute("mathvariant", n), o } }); const cn = { "\\nobreak": "nobreak", "\\allowbreak": "allowbreak" }, mn = { " ": {}, "\\ ": {}, "~": { className: "nobreak" }, "\\space": {}, "\\nobreakspace": { className: "nobreak" } }; $e({ type: "spacing", htmlBuilder(e, t) { if (mn.hasOwnProperty(e.text)) { const r = mn[e.text].className || ""; if ("text" === e.mode) { const n = Ve.makeOrd(e, t, "textord"); return n.classes.push(r), n } return Ve.makeSpan(["mspace", r], [Ve.mathsym(e.text, e.mode, t)], t) } if (cn.hasOwnProperty(e.text)) return Ve.makeSpan(["mspace", cn[e.text]], [], t); throw new n('Unknown type of space "' + e.text + '"') }, mathmlBuilder(e, t) { let r; if (!mn.hasOwnProperty(e.text)) { if (cn.hasOwnProperty(e.text)) return new gt.MathNode("mspace"); throw new n('Unknown type of space "' + e.text + '"') } return r = new gt.MathNode("mtext", [new gt.TextNode("\xa0")]), r } }); const pn = () => { const e = new gt.MathNode("mtd", []); return e.setAttribute("width", "50%"), e }; $e({ type: "tag", mathmlBuilder(e, t) { const r = new gt.MathNode("mtable", [new gt.MathNode("mtr", [pn(), new gt.MathNode("mtd", [wt(e.body, t)]), pn(), new gt.MathNode("mtd", [wt(e.tag, t)])])]); return r.setAttribute("width", "100%"), r } }); const un = { "\\text": void 0, "\\textrm": "textrm", "\\textsf": "textsf", "\\texttt": "texttt", "\\textnormal": "textrm" }, dn = { "\\textbf": "textbf", "\\textmd": "textmd" }, gn = { "\\textit": "textit", "\\textup": "textup" }, fn = (e, t) => { const r = e.font; return r ? un[r] ? t.withTextFontFamily(un[r]) : dn[r] ? t.withTextFontWeight(dn[r]) : "\\emph" === r ? "textit" === t.fontShape ? t.withTextFontShape("textup") : t.withTextFontShape("textit") : t.withTextFontShape(gn[r]) : t }; je({ 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: Ke(o), font: n } }, htmlBuilder(e, t) { const r = fn(e, t), n = nt(e.body, r, !0); return Ve.makeSpan(["mord", "text"], n, r) }, mathmlBuilder(e, t) { const r = fn(e, t); return wt(e.body, r) } }), je({ 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 = ht(e.body, t), n = Ve.makeLineSpan("underline-line", t), o = t.fontMetrics().defaultRuleThickness, s = Ve.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 Ve.makeSpan(["mord", "underline"], [s], t) }, mathmlBuilder(e, t) { const r = new gt.MathNode("mo", [new gt.TextNode("\u203e")]); r.setAttribute("stretchy", "true"); const n = new gt.MathNode("munder", [vt(e.body, t), r]); return n.setAttribute("accentunder", "true"), n } }), je({ 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 = ht(e.body, t), n = t.fontMetrics().axisHeight, o = .5 * (r.height - n - (r.depth + n)); return Ve.makeVList({ positionType: "shift", positionData: o, children: [{ type: "elem", elem: r }] }, t) }, mathmlBuilder(e, t) { return new gt.MathNode("mpadded", [vt(e.body, t)], ["vcenter"]) } }), je({ 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 = bn(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(Ve.makeSymbol(s, "Typewriter-Regular", e.mode, o, ["mord", "texttt"])) } return Ve.makeSpan(["mord", "text"].concat(o.sizingClasses(t)), Ve.tryCombineChars(n), o) }, mathmlBuilder(e, t) { const r = new gt.TextNode(bn(e)), n = new gt.MathNode("mtext", [r]); return n.setAttribute("mathvariant", "monospace"), n } }); const bn = e => e.body.replace(/ /g, e.star ? "\u2423" : "\xa0"); var yn = Xe; const xn = "[ \r\n\t]", wn = "(\\\\[a-zA-Z@]+)" + xn + "*", vn = "[\u0300-\u036f]", kn = new RegExp(vn + "+$"), Sn = "(" + xn + "+)|\\\\(\n|[ \r\t]+\n?)[ \r\t]*|([!-\\[\\]-\u2027\u202a-\ud7ff\uf900-\uffff]" + vn + "*|[\ud800-\udbff][\udc00-\udfff]" + vn + "*|\\\\verb\\*([^]).*?\\4|\\\\verb([^*a-zA-Z]).*?\\5|" + wn + "|\\\\[^\ud800-\udfff])"; class Mn { 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(Sn, "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 Nr("EOF", new Cr(this, t, t)); const r = this.tokenRegex.exec(e); if (null === r || r.index !== t) throw new n("Unexpected character: '" + e[t] + "'", new Nr(e[t], new Cr(this, t, t + 1))); const o = r[6] || r[3] || (r[2] ? 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"\\Leftrightarrow"), Br("\\Mu", "\\mathrm{M}"), Br("\\natnums", "\\mathbb{N}"), Br("\\Nu", "\\mathrm{N}"), Br("\\Omicron", "\\mathrm{O}"), Br("\\plusmn", "\\pm"), Br("\\rarr", "\\rightarrow"), Br("\\rArr", "\\Rightarrow"), Br("\\Rarr", "\\Rightarrow"), Br("\\real", "\\Re"), Br("\\reals", "\\mathbb{R}"), Br("\\Reals", "\\mathbb{R}"), Br("\\Rho", "\\mathrm{P}"), Br("\\sdot", "\\cdot"), Br("\\sect", "\\S"), Br("\\spades", "\\spadesuit"), Br("\\sub", "\\subset"), Br("\\sube", "\\subseteq"), Br("\\supe", "\\supseteq"), Br("\\Tau", "\\mathrm{T}"), Br("\\thetasym", "\\vartheta"), Br("\\weierp", "\\wp"), Br("\\Zeta", "\\mathrm{Z}"), Br("\\argmin", "\\DOTSB\\operatorname*{arg\\,min}"), Br("\\argmax", "\\DOTSB\\operatorname*{arg\\,max}"), Br("\\plim", "\\DOTSB\\mathop{\\operatorname{plim}}\\limits"), Br("\\bra", "\\mathinner{\\langle{#1}|}"), Br("\\ket", "\\mathinner{|{#1}\\rangle}"), Br("\\braket", "\\mathinner{\\langle{#1}\\rangle}"), Br("\\Bra", "\\left\\langle#1\\right|"), Br("\\Ket", "\\left|#1\\right\\rangle"); const In = 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 } }; Br("\\bra@ket", In(!1)), Br("\\bra@set", In(!0)), Br("\\Braket", "\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"), Br("\\Set", "\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"), Br("\\set", "\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"), Br("\\angln", "{\\angl n}"), Br("\\blue", "\\textcolor{##6495ed}{#1}"), Br("\\orange", "\\textcolor{##ffa500}{#1}"), Br("\\pink", "\\textcolor{##ff00af}{#1}"), Br("\\red", "\\textcolor{##df0030}{#1}"), Br("\\green", "\\textcolor{##28ae7b}{#1}"), Br("\\gray", "\\textcolor{gray}{#1}"), Br("\\purple", "\\textcolor{##9d38bd}{#1}"), Br("\\blueA", "\\textcolor{##ccfaff}{#1}"), Br("\\blueB", "\\textcolor{##80f6ff}{#1}"), Br("\\blueC", "\\textcolor{##63d9ea}{#1}"), Br("\\blueD", "\\textcolor{##11accd}{#1}"), Br("\\blueE", "\\textcolor{##0c7f99}{#1}"), Br("\\tealA", "\\textcolor{##94fff5}{#1}"), Br("\\tealB", "\\textcolor{##26edd5}{#1}"), Br("\\tealC", "\\textcolor{##01d1c1}{#1}"), Br("\\tealD", "\\textcolor{##01a995}{#1}"), Br("\\tealE", "\\textcolor{##208170}{#1}"), Br("\\greenA", "\\textcolor{##b6ffb0}{#1}"), Br("\\greenB", "\\textcolor{##8af281}{#1}"), Br("\\greenC", "\\textcolor{##74cf70}{#1}"), Br("\\greenD", "\\textcolor{##1fab54}{#1}"), Br("\\greenE", "\\textcolor{##0d923f}{#1}"), Br("\\goldA", "\\textcolor{##ffd0a9}{#1}"), Br("\\goldB", "\\textcolor{##ffbb71}{#1}"), Br("\\goldC", "\\textcolor{##ff9c39}{#1}"), Br("\\goldD", "\\textcolor{##e07d10}{#1}"), Br("\\goldE", "\\textcolor{##a75a05}{#1}"), Br("\\redA", "\\textcolor{##fca9a9}{#1}"), Br("\\redB", "\\textcolor{##ff8482}{#1}"), Br("\\redC", "\\textcolor{##f9685d}{#1}"), Br("\\redD", "\\textcolor{##e84d39}{#1}"), Br("\\redE", "\\textcolor{##bc2612}{#1}"), Br("\\maroonA", "\\textcolor{##ffbde0}{#1}"), Br("\\maroonB", "\\textcolor{##ff92c6}{#1}"), Br("\\maroonC", "\\textcolor{##ed5fa6}{#1}"), Br("\\maroonD", "\\textcolor{##ca337c}{#1}"), Br("\\maroonE", "\\textcolor{##9e034e}{#1}"), Br("\\purpleA", "\\textcolor{##ddd7ff}{#1}"), Br("\\purpleB", "\\textcolor{##c6b9fc}{#1}"), Br("\\purpleC", "\\textcolor{##aa87ff}{#1}"), Br("\\purpleD", "\\textcolor{##7854ab}{#1}"), Br("\\purpleE", "\\textcolor{##543b78}{#1}"), Br("\\mintA", "\\textcolor{##f5f9e8}{#1}"), Br("\\mintB", "\\textcolor{##edf2df}{#1}"), Br("\\mintC", "\\textcolor{##e0e5cc}{#1}"), Br("\\grayA", "\\textcolor{##f6f7f7}{#1}"), Br("\\grayB", "\\textcolor{##f0f1f2}{#1}"), Br("\\grayC", "\\textcolor{##e3e5e6}{#1}"), Br("\\grayD", "\\textcolor{##d6d8da}{#1}"), Br("\\grayE", "\\textcolor{##babec2}{#1}"), Br("\\grayF", "\\textcolor{##888d93}{#1}"), Br("\\grayG", "\\textcolor{##626569}{#1}"), Br("\\grayH", "\\textcolor{##3b3e40}{#1}"), Br("\\grayI", "\\textcolor{##21242c}{#1}"), Br("\\kaBlue", "\\textcolor{##314453}{#1}"), Br("\\kaGreen", "\\textcolor{##71B307}{#1}"); const Rn = { "^": !0, _: !0, "\\limits": !0, "\\nolimits": !0 }; class Hn { 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 zn(An, t.macros), this.mode = r, this.stack = [] } feed(e) { this.lexer = new Mn(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 Nr("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 Nr(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 Mn(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) || yn.hasOwnProperty(e) || oe.math.hasOwnProperty(e) || oe.text.hasOwnProperty(e) || Rn.hasOwnProperty(e) } isExpandable(e) { const t = this.macros.get(e); return null != t ? "string" == typeof t || "function" == typeof t || !t.unexpandable : yn.hasOwnProperty(e) && !yn[e].primitive } } const On = /^[\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]/, En = 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" }), Ln = { "\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" } }, Dn = { "\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 Vn { 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 Hn(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 Nr("}")), 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 !== Vn.endOfExpression.indexOf(n.text)) break; if (t && n.text === t) break; if (e && yn[n.text] && yn[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; this.consume(), this.consumeSpaces(); const o = this.parseGroup(e); 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 ("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 (!En[e.text]) break; { const t = On.test(e.text), n = []; for (n.push(new Nr(En[e.text])), this.consume(); ;) { const e = this.fetch().text; if (!En[e]) break; if (On.test(e) !== t) break; n.unshift(new Nr(En[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 = yn[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 = yn[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: Cr.range(r, n), body: t, semisimple: "\\begingroup" === o || void 0 } } else if (s = this.parseFunction(t, e) || this.parseSymbol(), null == s && "\\" === o[0] && !Rn.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: Cr.range(n, e[r + 2]), text: "---" }), t -= 2) : (e.splice(r, 2, { type: "textord", mode: "text", loc: Cr.range(n, e[r + 1]), text: "--" }), t -= 1)), "'" !== o && "`" !== o || e[r + 1].text !== o || (e.splice(r, 2, { type: "textord", mode: "text", loc: Cr.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 } } Dn.hasOwnProperty(t[0]) && !oe[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 = Dn[t[0]] + t.slice(1)); const r = kn.exec(t); let o; if (r && (t = t.substring(0, r.index), "i" === t ? t = "\u0131" : "j" === t && (t = "\u0237")), oe[this.mode][t]) { this.settings.strict && "math" === this.mode && Ae.indexOf(t) >= 0 && this.settings.reportNonstrict("unicodeTextInMathMode", 'Latin-1/Unicode text character "' + t[0] + '" used in math mode', e); const r = oe[this.mode][t].group, n = Cr.range(e); let s; if (te.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: Cr.range(e), text: t } } if (this.consume(), r) for (let t = 0; t < r[0].length; t++) { const s = r[0][t]; if (!Ln[s]) throw new n("Unknown accent ' " + s + "'", e); const i = Ln[s][this.mode] || Ln[s].text; if (!i) throw new n("Accent " + s + " unsupported in " + this.mode + " mode", e); o = { type: "accent", mode: this.mode, loc: Cr.range(e), label: i, isStretchy: !1, isShifty: !0, base: o } } return o } } Vn.endOfExpression = ["}", "\\endgroup", "\\end", "\\right", "&"]; var Pn = function (e, t) { if (!("string" == typeof e || e instanceof String)) throw new TypeError("KaTeX can only parse string typed expression"); const r = new Vn(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 Nr("\\df@tag")]) }] } return o }; let Fn = function (e, t, r) { t.textContent = ""; const n = Un(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."), Fn = function () { throw new n("KaTeX doesn't work in quirks mode.") }); const Gn = function (e, t, r) { if (r.throwOnError || !(e instanceof n)) throw e; const o = Ve.makeSpan(["katex-error"], [new Z(t)]); return o.setAttribute("title", e.toString()), o.setAttribute("style", "color:" + r.errorColor), o }, Un = function (e, t) { const r = new m(t); try { const t = Pn(e, r); return zt(t, e, r) } catch (t) { return Gn(t, e, r) } }; var Yn = { version: "0.16.11", render: Fn, renderToString: function (e, t) { return Un(e, t).toMarkup() }, ParseError: n, SETTINGS_SCHEMA: h, __parse: function (e, t) { const r = new m(t); return Pn(e, r) }, __renderToDomTree: Un, __renderToHTMLTree: function (e, t) { const r = new m(t); try { return function (e, t, r) { const n = mt(e, St(r)), o = Ve.makeSpan(["katex"], [n]); return Mt(o, r) }(Pn(e, r), 0, r) } catch (t) { return Gn(t, e, r) } }, __setFontMetrics: function (e, t) { T[e] = t }, __defineSymbol: se, __defineFunction: je, __defineMacro: Br, __domTree: { Span: W, Anchor: _, SymbolNode: Z, SvgNode: K, PathNode: J, LineNode: Q } }; return t = t.default }() }));
diff --git a/docs/ppocr/infer_deploy/cpp_infer.en.md b/docs/ppocr/infer_deploy/cpp_infer.en.md
index fa63d38..691523c 100644
--- a/docs/ppocr/infer_deploy/cpp_infer.en.md
+++ b/docs/ppocr/infer_deploy/cpp_infer.en.md
@@ -378,7 +378,7 @@ predict Crop_img: ../../doc/imgs/12.jpg
1 det boxes: [[23,507],[513,488],[515,529],[24,548]] rec text: 绿洲仕格维花园公寓 rec score: 0.993728
2 det boxes: [[187,456],[399,448],[400,480],[188,488]] rec text: 打浦路15号 rec score: 0.964994
3 det boxes: [[42,413],[483,391],[484,428],[43,450]] rec text: 上海斯格威铂尔大酒店 rec score: 0.980086
-The detection visualized image saved in ./output//12.jpg
+The detection visualized image saved in ./json//12.jpg
```
- layout+table
@@ -417,9 +417,9 @@ predict Crop_img: ../../ppstructure/docs/table/1.png
0 det boxes: [[6,2],[113,2],[113,14],[6,14]] rec text: 5.Conclusion rec score: 0.856903
********** end print ocr result **********
6 type: table, region: [14,360,402,711], score: 0.963643, res: Methods Ext R P F FPS TextSnake [18] Syn 85.3 67.9 75.6 CSE [17] MiLT 76.1 78.7 77.4 0.38 LOMO[40] Syn 76.5 85.7 80.8 4.4 ATRR[35] Sy- 80.2 80.1 80.1 - SegLink++ [28] Syn 79.8 82.8 81.3 - TextField [37] Syn 79.8 83.0 81.4 6.0 MSR[38] Syn 79.0 84.1 81.5 4.3 PSENet-1s [33] MLT 79.7 84.8 82.2 3.9 DB [12] Syn 80.2 86.9 83.4 22.0 CRAFT [2] Syn 81.1 86.0 83.5 - TextDragon [5] MLT+ 82.8 84.5 83.6 PAN [34] Syn 81.2 86.4 83.7 39.8 ContourNet [36] 84.1 83.7 83.9 4.5 DRRG [41] MLT 83.02 85.93 84.45 - TextPerception[23] Syn 81.9 87.5 84.6 Ours Syn 80.57 87.66 83.97 12.08 Ours 81.45 87.81 84.51 12.15 Ours MLT 83.60 86.45 85.00 12.21
-The table visualized image saved in ./output//6_1.png
+The table visualized image saved in ./json//6_1.png
7 type: table, region: [462,359,820,657], score: 0.953917, res: Methods R P F FPS SegLink [26] 70.0 86.0 77.0 8.9 PixelLink [4] 73.2 83.0 77.8 - TextSnake [18] 73.9 83.2 78.3 1.1 TextField [37] 75.9 87.4 81.3 5.2 MSR[38] 76.7 87.4 81.7 - FTSN[3] 77.1 87.6 82.0 : LSE[30] 81.7 84.2 82.9 CRAFT [2] 78.2 88.2 82.9 8.6 MCN [16] 79 88 83 - ATRR[35] 82.1 85.2 83.6 - PAN [34] 83.8 84.4 84.1 30.2 DB[12] 79.2 91.5 84.9 32.0 DRRG [41] 82.30 88.05 85.08 - Ours (SynText) 80.68 85.40 82.97 12.68 Ours (MLT-17) 84.54 86.62 85.57 12.31
-The table visualized image saved in ./output//7_1.png
+The table visualized image saved in ./json//7_1.png
8 type: figure, region: [14,3,836,310], score: 0.969443, res: count of ocr result is : 26
********** print ocr result **********
0 det boxes: [[506,14],[539,15],[539,22],[506,21]] rec text: E rec score: 0.318073
diff --git a/docs/ppocr/infer_deploy/cpp_infer.md b/docs/ppocr/infer_deploy/cpp_infer.md
index f025e2d..f673cdd 100644
--- a/docs/ppocr/infer_deploy/cpp_infer.md
+++ b/docs/ppocr/infer_deploy/cpp_infer.md
@@ -388,7 +388,7 @@ predict Crop_img: ../../doc/imgs/12.jpg
1 det boxes: [[23,507],[513,488],[515,529],[24,548]] rec text: 绿洲仕格维花园公寓 rec score: 0.993728
2 det boxes: [[187,456],[399,448],[400,480],[188,488]] rec text: 打浦路15号 rec score: 0.964994
3 det boxes: [[42,413],[483,391],[484,428],[43,450]] rec text: 上海斯格威铂尔大酒店 rec score: 0.980086
-The detection visualized image saved in ./output//12.jpg
+The detection visualized image saved in ./json//12.jpg
```
- layout+table
@@ -427,9 +427,9 @@ predict Crop_img: ../../ppstructure/docs/table/1.png
0 det boxes: [[6,2],[113,2],[113,14],[6,14]] rec text: 5.Conclusion rec score: 0.856903
********** end print ocr result **********
6 type: table, region: [14,360,402,711], score: 0.963643, res: Methods Ext R P F FPS TextSnake [18] Syn 85.3 67.9 75.6 CSE [17] MiLT 76.1 78.7 77.4 0.38 LOMO[40] Syn 76.5 85.7 80.8 4.4 ATRR[35] Sy- 80.2 80.1 80.1 - SegLink++ [28] Syn 79.8 82.8 81.3 - TextField [37] Syn 79.8 83.0 81.4 6.0 MSR[38] Syn 79.0 84.1 81.5 4.3 PSENet-1s [33] MLT 79.7 84.8 82.2 3.9 DB [12] Syn 80.2 86.9 83.4 22.0 CRAFT [2] Syn 81.1 86.0 83.5 - TextDragon [5] MLT+ 82.8 84.5 83.6 PAN [34] Syn 81.2 86.4 83.7 39.8 ContourNet [36] 84.1 83.7 83.9 4.5 DRRG [41] MLT 83.02 85.93 84.45 - TextPerception[23] Syn 81.9 87.5 84.6 Ours Syn 80.57 87.66 83.97 12.08 Ours 81.45 87.81 84.51 12.15 Ours MLT 83.60 86.45 85.00 12.21
-The table visualized image saved in ./output//6_1.png
+The table visualized image saved in ./json//6_1.png
7 type: table, region: [462,359,820,657], score: 0.953917, res: Methods R P F FPS SegLink [26] 70.0 86.0 77.0 8.9 PixelLink [4] 73.2 83.0 77.8 - TextSnake [18] 73.9 83.2 78.3 1.1 TextField [37] 75.9 87.4 81.3 5.2 MSR[38] 76.7 87.4 81.7 - FTSN[3] 77.1 87.6 82.0 : LSE[30] 81.7 84.2 82.9 CRAFT [2] 78.2 88.2 82.9 8.6 MCN [16] 79 88 83 - ATRR[35] 82.1 85.2 83.6 - PAN [34] 83.8 84.4 84.1 30.2 DB[12] 79.2 91.5 84.9 32.0 DRRG [41] 82.30 88.05 85.08 - Ours (SynText) 80.68 85.40 82.97 12.68 Ours (MLT-17) 84.54 86.62 85.57 12.31
-The table visualized image saved in ./output//7_1.png
+The table visualized image saved in ./json//7_1.png
8 type: figure, region: [14,3,836,310], score: 0.969443, res: count of ocr result is : 26
********** print ocr result **********
0 det boxes: [[506,14],[539,15],[539,22],[506,21]] rec text: E rec score: 0.318073
diff --git a/docs/ppocr/infer_deploy/paddle_cloud.md b/docs/ppocr/infer_deploy/paddle_cloud.md
index dada8bb..a60b13a 100644
--- a/docs/ppocr/infer_deploy/paddle_cloud.md
+++ b/docs/ppocr/infer_deploy/paddle_cloud.md
@@ -151,14 +151,14 @@ $ tar xf /home/PaddleOCR/pre_train/ch_PP-OCRv3_det_distill_train.tar -C /home/Pa
```bash linenums="1"
# 这里以 GPU 训练为例，使用 CPU 进行训练的话，需要指定参数 Global.use_gpu=false
-python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.save_model_dir=./output/ Global.pretrained_model=./pre_train/ch_PP-OCRv3_det_distill_train/best_accuracy
+python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.save_model_dir=./json/ Global.pretrained_model=./pre_train/ch_PP-OCRv3_det_distill_train/best_accuracy
```
如果要使用多GPU分布式训练，请使用如下命令：
```bash linenums="1"
# 启动训练，训练模型默认保存在output目录下，--gpus '0,1,2,3'表示使用0，1，2，3号GPU训练
-python3 -m paddle.distributed.launch --log_dir=./debug/ --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.save_model_dir=./output/ Global.pretrained_model=./pre_train/ch_PP-OCRv3_det_distill_train/best_accuracy
+python3 -m paddle.distributed.launch --log_dir=./debug/ --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.save_model_dir=./json/ Global.pretrained_model=./pre_train/ch_PP-OCRv3_det_distill_train/best_accuracy
```
### 1.6 模型评估
@@ -180,7 +180,7 @@ latest.pdopt # 默认保存的最新模型的优化器相关参数
# 进行模型评估
cd /home/PaddleOCR/
-python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=./output/best_accuracy
+python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=./json/best_accuracy
```
## 2. PP-OCRv3云端部署
diff --git a/docs/ppocr/model_compress/knowledge_distillation.en.md b/docs/ppocr/model_compress/knowledge_distillation.en.md
index 8b54e6f..36205f5 100644
--- a/docs/ppocr/model_compress/knowledge_distillation.en.md
+++ b/docs/ppocr/model_compress/knowledge_distillation.en.md
@@ -63,7 +63,7 @@ Architecture:
Teacher: # The name of the subnet, it must include at least the `pretrained` and `freeze_params` parameters, and the other parameters are the construction parameters of the subnet
pretrained: # Does this sub-network need to load pre-training weights
freeze_params: false # Do you need fixed parameters
- return_all_feats: true # Do you need to return all features, if it is False, only the final output is returned
+ return_all_feats: true # Do you need to return all features, if it is False, only the final json is returned
model_type: *model_type # Model category
algorithm: SVTR # The algorithm name of the sub-network. The remaining parameters of the sub-network are consistent with the general model training configuration
Transform:
@@ -241,8 +241,8 @@ Loss:
loss_config_list: # List of loss function configuration files, mandatory functions for CombinedLoss
- DistillationCTCLoss: # CTC loss function based on distillation, inherited from standard CTC loss
weight: 1.0 # The weight of the loss function. In loss_config_list, each loss function must include this field
- model_name_list: ["Student", "Teacher"] # For the prediction results of the distillation model, extract the output of these two sub-networks and calculate the CTC loss with gt
- key: head_out # In the sub-network output dict, take the corresponding tensor
+ model_name_list: ["Student", "Teacher"] # For the prediction results of the distillation model, extract the json of these two sub-networks and calculate the CTC loss with gt
+ key: head_out # In the sub-network json dict, take the corresponding tensor
- DistillationDMLLoss: # DML loss function, inherited from the standard DMLLoss
weight: 1.0
act: "softmax" # Activation function, use it to process the input, can be softmax, sigmoid or None, the default is None
@@ -269,8 +269,8 @@ Loss:
key: backbone_out
- DistillationSARLoss: # SAR loss function based on distillation, inherited from standard SAR loss
weight: 1.0 # The weight of the loss function. In loss_config_list, each loss function must include this field
- model_name_list: ["Student", "Teacher"] # For the prediction results of the distillation model, extract the output of these two sub-networks and calculate the SAR loss with gt
- key: head_out # In the sub-network output dict, take the corresponding tensor
+ model_name_list: ["Student", "Teacher"] # For the prediction results of the distillation model, extract the json of these two sub-networks and calculate the SAR loss with gt
+ key: head_out # In the sub-network json dict, take the corresponding tensor
multi_head: True # whether it is multi-head or not, if true, SAR branch is used to calculate the loss
```
@@ -297,7 +297,7 @@ In the knowledge distillation task, the post-processing configuration is as foll
PostProcess:
name: DistillationCTCLabelDecode # CTC decoding post-processing of distillation tasks, inherited from the standard CTCLabelDecode class
model_name: ["Student", "Teacher"] # For the prediction results of the distillation model, extract the outputs of these two sub-networks and decode them
- key: head_out # Take the corresponding tensor in the subnet output dict
+ key: head_out # Take the corresponding tensor in the subnet json dict
multi_head: True # whether it is multi-head or not, if true, CTC branch is used to calculate the loss
```
@@ -313,7 +313,7 @@ In the knowledge distillation task, the metric calculation configuration is as f
```yaml linenums="1"
Metric:
name: DistillationMetric # CTC decoding post-processing of distillation tasks, inherited from the standard CTCLabelDecode class
- base_metric_name: RecMetric # The base class of indicator calculation. For the output of the model, the indicator will be calculated based on this class
+ base_metric_name: RecMetric # The base class of indicator calculation. For the json of the model, the indicator will be calculated based on this class
main_indicator: acc # The name of the indicator
key: "Student" # Select the main_indicator of this subnet as the criterion for saving the best model
ignore_space: False # whether to ignore space during evaulation
@@ -375,7 +375,7 @@ Architecture:
Student: # The name of the subnet, it must include at least the `pretrained` and `freeze_params` parameters, and the other parameters are the construction parameters of the subnet
pretrained: ./pretrain_models/MobileNetV3_large_x0_5_pretrained # Does this sub-network need to load pre-training weights
freeze_params: false # Do you need fixed parameters
- return_all_feats: false # Do you need to return all features, if it is False, only the final output is returned
+ return_all_feats: false # Do you need to return all features, if it is False, only the final json is returned
model_type: det
algorithm: DB
Backbone:
@@ -547,7 +547,7 @@ In the task of detecting knowledge distillation, the post-processing configurati
```yaml linenums="1"
PostProcess:
name: DistillationDBPostProcess # The post-processing of the DB detection distillation task, inherited from the standard DBPostProcess class
- model_name: ["Student", "Student2", "Teacher"] # Extract the output of multiple sub-networks and decode them. The network that does not require post-processing is not set in model_name
+ model_name: ["Student", "Student2", "Teacher"] # Extract the json of multiple sub-networks and decode them. The network that does not require post-processing is not set in model_name
thresh: 0.3
box_thresh: 0.6
max_candidates: 1000
diff --git a/docs/ppocr/model_compress/prune.en.md b/docs/ppocr/model_compress/prune.en.md
index 7579f34..b8f4672 100644
--- a/docs/ppocr/model_compress/prune.en.md
+++ b/docs/ppocr/model_compress/prune.en.md
@@ -58,7 +58,7 @@ The function would return a dict after loading the sensitivity file. The keys of
Enter the PaddleOCR root directory，perform sensitivity analysis on the model with the following command：
```bash linenums="1"
-python3.7 deploy/slim/prune/sensitivity_anal.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model="your trained model" Global.save_model_dir=./output/prune_model/
+python3.7 deploy/slim/prune/sensitivity_anal.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model="your trained model" Global.save_model_dir=./json/prune_model/
```
### 5. Export inference model and deploy it
@@ -66,7 +66,7 @@ python3.7 deploy/slim/prune/sensitivity_anal.py -c configs/det/ch_ppocr_v2.0/ch_
We can export the pruned model as inference_model for deployment:
```bash linenums="1"
-python deploy/slim/prune/export_prune_model.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model=./output/det_db/best_accuracy Global.save_inference_dir=./prune/prune_inference_model
+python deploy/slim/prune/export_prune_model.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model=./json/det_db/best_accuracy Global.save_inference_dir=./prune/prune_inference_model
```
Reference for prediction and deployment of inference model:
diff --git a/docs/ppocr/model_compress/prune.md b/docs/ppocr/model_compress/prune.md
index ea3103b..3f270d3 100644
--- a/docs/ppocr/model_compress/prune.md
+++ b/docs/ppocr/model_compress/prune.md
@@ -54,7 +54,7 @@ sen.pickle(Dict){
进入PaddleOCR根目录，通过以下命令对模型进行敏感度分析训练：
```bash linenums="1"
-python3.7 deploy/slim/prune/sensitivity_anal.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model="your trained model" Global.save_model_dir=./output/prune_model/
+python3.7 deploy/slim/prune/sensitivity_anal.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model="your trained model" Global.save_model_dir=./json/prune_model/
```
### 4.导出模型、预测部署
@@ -62,7 +62,7 @@ python3.7 deploy/slim/prune/sensitivity_anal.py -c configs/det/ch_ppocr_v2.0/ch_
在得到裁剪训练保存的模型后，我们可以将其导出为inference_model：
```bash linenums="1"
-pytho3.7 deploy/slim/prune/export_prune_model.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model=./output/det_db/best_accuracy Global.save_inference_dir=./prune/prune_inference_model
+pytho3.7 deploy/slim/prune/export_prune_model.py -c configs/det/ch_ppocr_v2.0/ch_det_mv3_db_v2.0.yml -o Global.pretrained_model=./json/det_db/best_accuracy Global.save_inference_dir=./prune/prune_inference_model
```
inference model的预测和部署参考：
diff --git a/docs/ppocr/model_compress/quantization.en.md b/docs/ppocr/model_compress/quantization.en.md
index 78163ce..249ebb0 100644
--- a/docs/ppocr/model_compress/quantization.en.md
+++ b/docs/ppocr/model_compress/quantization.en.md
@@ -50,7 +50,7 @@ The code for quantization training is located in `slim/quantization/quant.py`. F
wget https://paddleocr.bj.bcebos.com/PP-OCRv3/chinese/ch_PP-OCRv3_det_distill_train.tar
tar xf ch_PP-OCRv3_det_distill_train.tar
-python deploy/slim/quantization/quant.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.pretrained_model='./ch_PP-OCRv3_det_distill_train/best_accuracy' Global.save_model_dir=./output/quant_model_distill/
+python deploy/slim/quantization/quant.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.pretrained_model='./ch_PP-OCRv3_det_distill_train/best_accuracy' Global.save_model_dir=./json/quant_model_distill/
```
If you want to quantify the text recognition model, you can modify the configuration file and loaded model parameters.
@@ -60,7 +60,7 @@ If you want to quantify the text recognition model, you can modify the configura
Once we got the model after pruning and fine-tuning, we can export it as an inference model for the deployment of predictive tasks:
```bash linenums="1"
-python deploy/slim/quantization/export_model.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=output/quant_model/best_accuracy Global.save_inference_dir=./output/quant_inference_model
+python deploy/slim/quantization/export_model.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=json/quant_model/best_accuracy Global.save_inference_dir=./json/quant_inference_model
```
### 5. Deploy
diff --git a/docs/ppocr/model_compress/quantization.md b/docs/ppocr/model_compress/quantization.md
index eb72cfb..9a32145 100644
--- a/docs/ppocr/model_compress/quantization.md
+++ b/docs/ppocr/model_compress/quantization.md
@@ -45,7 +45,7 @@ PaddleOCR提供了一系列训练好的[模型](../model_list.md)，如果待量
wget https://paddleocr.bj.bcebos.com/PP-OCRv3/chinese/ch_PP-OCRv3_det_distill_train.tar
tar xf ch_PP-OCRv3_det_distill_train.tar
-python deploy/slim/quantization/quant.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.pretrained_model='./ch_PP-OCRv3_det_distill_train/best_accuracy' Global.save_model_dir=./output/quant_model_distill/
+python deploy/slim/quantization/quant.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.pretrained_model='./ch_PP-OCRv3_det_distill_train/best_accuracy' Global.save_model_dir=./json/quant_model_distill/
```
如果要训练识别模型的量化，修改配置文件和加载的模型参数即可。
@@ -55,7 +55,7 @@ python deploy/slim/quantization/quant.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_
在得到量化训练保存的模型后，我们可以将其导出为inference_model，用于预测部署：
```bash linenums="1"
-python deploy/slim/quantization/export_model.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=output/quant_model/best_accuracy Global.save_inference_dir=./output/quant_inference_model
+python deploy/slim/quantization/export_model.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=json/quant_model/best_accuracy Global.save_inference_dir=./json/quant_inference_model
```
### 5. 量化模型部署
diff --git a/docs/ppocr/model_train/PPOCRv3_det_train.en.md b/docs/ppocr/model_train/PPOCRv3_det_train.en.md
index 836a612..74604d2 100644
--- a/docs/ppocr/model_train/PPOCRv3_det_train.en.md
+++ b/docs/ppocr/model_train/PPOCRv3_det_train.en.md
@@ -42,12 +42,12 @@ wget -P ./pretrain_models/ https://paddleocr.bj.bcebos.com/pretrained/ResNet50_v
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
# If you want to use multi-GPU distributed training, please use the following command:
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
```
The model saved during training is in the output directory, which contains the following files:
@@ -66,7 +66,7 @@ Among them, best_accuracy is the model parameter with the highest accuracy saved
The model evaluation command is as follows:
```bash linenums="1"
-python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml -o Global.checkpoints=./output/best_accuracy
+python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml -o Global.checkpoints=./json/best_accuracy
```
The trained teacher model has a larger structure and higher accuracy, which is used to improve the accuracy of the student model.
@@ -110,20 +110,20 @@ python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Teacher.pretrained=./pretrain_models/dml_teacher \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
# If you want to use multi-GPU distributed training, please use the following command:
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Teacher.pretrained=./pretrain_models/dml_teacher \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
```
The model saved during the training process is in the output directory.
The model evaluation command is as follows:
```bash linenums="1"
-python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=./output/best_accuracy
+python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=./json/best_accuracy
```
best_accuracy contains the parameters of three models, corresponding to Student, Student2, and Teacher in the configuration file. The method to extract Student parameters is as follows:
@@ -173,11 +173,11 @@ Start training:
# Single card training
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Global.pretrained_model=./ch_PP-OCRv3_det_distill_train/best_accuracy \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
# If you want to use multi-GPU distributed training, please use the following command:
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Global.pretrained_model=./ch_PP-OCRv3_det_distill_train/best_accuracy \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
```
**Finetune training based on PP-OCRv3 lightweight detection model**
@@ -213,11 +213,11 @@ Train using the configuration file [ch_PP-OCRv3_det_student.yml](https://github.
# Single card training
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_student.yml \
-o Global.pretrained_model=./student \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
# If you want to use multi-GPU distributed training, please use the following command:
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_student.yml \
-o Global.pretrained_model=./student \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
```
**Finetune training based on DML distillation method**
@@ -245,10 +245,10 @@ paddle.save(s_params, "./teacher.pdparams")
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./teacher \
Architecture.Models.Student2.pretrained=./teacher \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
# If you want to use multi-GPU distributed training, please use the following command:
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./teacher \
Architecture.Models.Student2.pretrained=./teacher \
-Global.save_model_dir=./output/
+Global.save_model_dir=./json/
```
diff --git a/docs/ppocr/model_train/PPOCRv3_det_train.md b/docs/ppocr/model_train/PPOCRv3_det_train.md
index abdff65..85aad05 100644
--- a/docs/ppocr/model_train/PPOCRv3_det_train.md
+++ b/docs/ppocr/model_train/PPOCRv3_det_train.md
@@ -41,12 +41,12 @@ wget -P ./pretrain_models/ https://paddleocr.bj.bcebos.com/pretrained/ResNet50_v
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
# 如果要使用多GPU分布式训练，请使用如下命令：
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/ResNet50_vd_ssld_pretrained \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
```
训练过程中保存的模型在output目录下，包含以下文件：
@@ -65,7 +65,7 @@ latest.pdopt # 默认保存的最新模型的优化器相关参数
模型评估命令如下：
```bash linenums="1"
-python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml -o Global.checkpoints=./output/best_accuracy
+python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml -o Global.checkpoints=./json/best_accuracy
```
训练的教师模型结构更大，精度更高，用于提升学生模型的精度。
@@ -109,20 +109,20 @@ python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Teacher.pretrained=./pretrain_models/dml_teacher \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
# 如果要使用多GPU分布式训练，请使用如下命令：
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Architecture.Models.Student.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Student2.pretrained=./pretrain_models/MobileNetV3_large_x0_5_pretrained \
Architecture.Models.Teacher.pretrained=./pretrain_models/dml_teacher \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
```
训练过程中保存的模型在output目录下，
模型评估命令如下：
```bash linenums="1"
-python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=./output/best_accuracy
+python3 tools/eval.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml -o Global.checkpoints=./json/best_accuracy
```
best_accuracy包含三个模型的参数，分别对应配置文件中的Student，Student2，Teacher。提取Student参数的方法如下：
@@ -170,11 +170,11 @@ ch_PP-OCRv3_det_distill_train/best_accuracy.pdparams包含CML配置文件中Stud
# 单卡训练
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Global.pretrained_model=./ch_PP-OCRv3_det_distill_train/best_accuracy \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
# 如果要使用多GPU分布式训练，请使用如下命令：
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_cml.yml \
-o Global.pretrained_model=./ch_PP-OCRv3_det_distill_train/best_accuracy \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
```
**基于PP-OCRv3轻量检测模型的finetune训练**
@@ -210,11 +210,11 @@ paddle.save(s_params, "./student.pdparams")
# 单卡训练
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_student.yml \
-o Global.pretrained_model=./student \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
# 如果要使用多GPU分布式训练，请使用如下命令：
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_student.yml \
-o Global.pretrained_model=./student \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
```
**基于DML蒸馏方法的finetune训练**
@@ -242,10 +242,10 @@ paddle.save(s_params, "./teacher.pdparams")
python3 tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./teacher \
Architecture.Models.Student2.pretrained=./teacher \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
# 如果要使用多GPU分布式训练，请使用如下命令：
python3 -m paddle.distributed.launch --gpus '0,1,2,3' tools/train.py -c configs/det/ch_PP-OCRv3/ch_PP-OCRv3_det_dml.yml \
-o Architecture.Models.Student.pretrained=./teacher \
Architecture.Models.Student2.pretrained=./teacher \
- Global.save_model_dir=./output/
+ Global.save_model_dir=./json/
```
diff --git a/docs/ppocr/model_train/detection.md b/docs/ppocr/model_train/detection.md
index aae8496..57e1c6e 100644
--- a/docs/ppocr/model_train/detection.md
+++ b/docs/ppocr/model_train/detection.md
@@ -204,7 +204,7 @@ inference 模型（`paddle.jit.save`保存的模型）
检测模型转inference 模型方式：
```bash linenums="1"
-# 加载配置文件`det_mv3_db.yml`，从`output/det_db`目录下加载`best_accuracy`模型，inference模型保存在`./output/det_db_inference`目录下
+# 加载配置文件`det_mv3_db.yml`，从`json/det_db`目录下加载`best_accuracy`模型，inference模型保存在`./json/det_db_inference`目录下
python3 tools/export_model.py -c configs/det/det_mv3_db.yml -o Global.pretrained_model="./output/det_db/best_accuracy" Global.save_inference_dir="./output/det_db_inference/"
```
diff --git a/docs/ppocr/model_train/kie.en.md b/docs/ppocr/model_train/kie.en.md
index 8b3be83..076e61b 100644
--- a/docs/ppocr/model_train/kie.en.md
+++ b/docs/ppocr/model_train/kie.en.md
@@ -156,9 +156,9 @@ Take the SER model training as an example. After the training is started, you wi
[2022/08/08 16:28:28] ppocr INFO: epoch: [1/200], global_step: 10, lr: 0.000006, loss: 1.871535, avg_reader_cost: 0.28200 s, avg_batch_cost: 0.82318 s, avg_samples: 8.0, ips: 9.71838 samples/s, eta: 0:51:59
[2022/08/08 16:28:33] ppocr INFO: epoch: [1/200], global_step: 19, lr: 0.000018, loss: 1.461939, avg_reader_cost: 0.00042 s, avg_batch_cost: 0.32037 s, avg_samples: 6.9, ips: 21.53773 samples/s, eta: 0:37:55
[2022/08/08 16:28:39] ppocr INFO: cur metric, precision: 0.11526348939743859, recall: 0.19776657060518732, hmean: 0.14564265817747712, fps: 34.008392345050055
-[2022/08/08 16:28:45] ppocr INFO: save best model is to ./output/ser_vi_layoutxlm_xfund_zh/best_accuracy
+[2022/08/08 16:28:45] ppocr INFO: save best model is to ./json/ser_vi_layoutxlm_xfund_zh/best_accuracy
[2022/08/08 16:28:45] ppocr INFO: best metric, hmean: 0.14564265817747712, precision: 0.11526348939743859, recall: 0.19776657060518732, fps: 34.008392345050055, best_epoch: 1
-[2022/08/08 16:28:51] ppocr INFO: save model in ./output/ser_vi_layoutxlm_xfund_zh/latest
+[2022/08/08 16:28:51] ppocr INFO: save model in ./json/ser_vi_layoutxlm_xfund_zh/latest
```
The following information will be automatically printed.
@@ -234,7 +234,7 @@ Eval:
If the training process is interrupted and you want to load the saved model to resume training, you can specify the path of the model to be loaded by specifying `Architecture.Backbone.checkpoints`.
```bash linenums="1"
-python3 tools/train.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy
+python3 tools/train.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy
```
**Note:**
@@ -284,7 +284,7 @@ The trained model will be saved in `Global.save_model_dir`. When evaluation, you
```bash linenums="1"
# GPU evaluation, Global.checkpoints is the weight to be tested
-python3 tools/eval.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy
+python3 tools/eval.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy
```
The following information will be printed such as precision, recall, hmean and so on.
@@ -326,7 +326,7 @@ Among them, best_accuracy.*is the best model on the evaluation set; latest.* is
The configuration file for prediction must be consistent with the training file. If you finish the training process using `python3 tools/train.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml`. You can use the following command for prediction.
```bash linenums="1"
-python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./ppstructure/docs/kie/input/zh_val_42.jpg
+python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./ppstructure/docs/kie/input/zh_val_42.jpg
```
The output image is as follows, which is also saved in `Global.save_res_path`.
@@ -336,7 +336,7 @@ The output image is as follows, which is also saved in `Global.save_res_path`.
During the prediction process, the detection and recognition model of PP-OCRv3 will be loaded by default for information extraction of OCR. If you want to load the OCR results obtained in advance, you can use the following method to predict, and specify `Global.infer_img` as the annotation file, which contains the image path and OCR information, and specifies `Global.infer_mode` as False, indicating that the OCR inference engine is not used at this time.
```bash linenums="1"
-python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./train_data/XFUND/zh_val/val.json Global.infer_mode=False
+python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./train_data/XFUND/zh_val/val.json Global.infer_mode=False
```
For the above image, if information extraction is performed using the labeled OCR results, the prediction results are as follows.
@@ -398,7 +398,7 @@ The SER model can be converted to the inference model using the following comman
# -o Set optional parameters.
# Architecture.Backbone.checkpoints Set the training model address.
# Global.save_inference_dir Set the address where the converted model will be saved.
-python3 tools/export_model.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/ser_vi_layoutxlm
+python3 tools/export_model.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/ser_vi_layoutxlm
```
After the conversion is successful, there are three files in the model save directory:
@@ -417,7 +417,7 @@ The RE model can be converted to the inference model using the following command
# -o Set optional parameters.
# Architecture.Backbone.checkpoints Set the training model address.
# Global.save_inference_dir Set the address where the converted model will be saved.
-python3 tools/export_model.py -c configs/kie/vi_layoutxlm/re_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/re_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/re_vi_layoutxlm
+python3 tools/export_model.py -c configs/kie/vi_layoutxlm/re_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/re_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/re_vi_layoutxlm
```
After the conversion is successful, there are three files in the model save directory:
diff --git a/docs/ppocr/model_train/kie.md b/docs/ppocr/model_train/kie.md
index 14e3f9a..104584c 100644
--- a/docs/ppocr/model_train/kie.md
+++ b/docs/ppocr/model_train/kie.md
@@ -154,9 +154,9 @@ python3 tools/train.py -c configs/kie/vi_layoutxlm/re_vi_layoutxlm_xfund_zh.yml
[2022/08/08 16:28:28] ppocr INFO: epoch: [1/200], global_step: 10, lr: 0.000006, loss: 1.871535, avg_reader_cost: 0.28200 s, avg_batch_cost: 0.82318 s, avg_samples: 8.0, ips: 9.71838 samples/s, eta: 0:51:59
[2022/08/08 16:28:33] ppocr INFO: epoch: [1/200], global_step: 19, lr: 0.000018, loss: 1.461939, avg_reader_cost: 0.00042 s, avg_batch_cost: 0.32037 s, avg_samples: 6.9, ips: 21.53773 samples/s, eta: 0:37:55
[2022/08/08 16:28:39] ppocr INFO: cur metric, precision: 0.11526348939743859, recall: 0.19776657060518732, hmean: 0.14564265817747712, fps: 34.008392345050055
-[2022/08/08 16:28:45] ppocr INFO: save best model is to ./output/ser_vi_layoutxlm_xfund_zh/best_accuracy
+[2022/08/08 16:28:45] ppocr INFO: save best model is to ./json/ser_vi_layoutxlm_xfund_zh/best_accuracy
[2022/08/08 16:28:45] ppocr INFO: best metric, hmean: 0.14564265817747712, precision: 0.11526348939743859, recall: 0.19776657060518732, fps: 34.008392345050055, best_epoch: 1
-[2022/08/08 16:28:51] ppocr INFO: save model in ./output/ser_vi_layoutxlm_xfund_zh/latest
+[2022/08/08 16:28:51] ppocr INFO: save model in ./json/ser_vi_layoutxlm_xfund_zh/latest
```
log 中自动打印如下信息：
@@ -233,7 +233,7 @@ Eval:
如果训练程序中断，如果希望加载训练中断的模型从而恢复训练，可以通过指定`Architecture.Backbone.checkpoints`指定要加载的模型路径：
```bash linenums="1"
-python3 tools/train.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy
+python3 tools/train.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy
```
**注意**：
@@ -282,7 +282,7 @@ DCU设备上运行需要设置环境变量 `export HIP_VISIBLE_DEVICES=0,1,2,3`
```bash linenums="1"
# GPU 评估， Global.checkpoints 为待测权重
-python3 tools/eval.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy
+python3 tools/eval.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy
```
会输出以下信息，打印出precision、recall、hmean等信息。
@@ -326,7 +326,7 @@ output/ser_vi_layoutxlm_xfund_zh/
您可以使用如下命令进行中文模型预测。
```bash linenums="1"
-python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./ppstructure/docs/kie/input/zh_val_42.jpg
+python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./ppstructure/docs/kie/input/zh_val_42.jpg
```
预测图片如下所示，图片会存储在`Global.save_res_path`路径中。
@@ -336,7 +336,7 @@ python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxl
预测过程中，默认会加载PP-OCRv3的检测识别模型，用于OCR的信息抽取，如果希望加载预先获取的OCR结果，可以使用下面的方式进行预测，指定`Global.infer_img`为标注文件，其中包含图片路径以及OCR信息，同时指定`Global.infer_mode`为False，表示此时不使用OCR预测引擎。
```bash linenums="1"
-python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./train_data/XFUND/zh_val/val.json Global.infer_mode=False
+python3 tools/infer_kie_token_ser.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.infer_img=./train_data/XFUND/zh_val/val.json Global.infer_mode=False
```
对于上述图片，如果使用标注的OCR结果进行信息抽取，预测结果如下。
@@ -392,7 +392,7 @@ inference 模型（`paddle.jit.save`保存的模型）
# Architecture.Backbone.checkpoints 参数设置待转换的训练模型地址
# Global.save_inference_dir 参数设置转换的模型将保存的地址
-python3 tools/export_model.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/ser_vi_layoutxlm
+python3 tools/export_model.py -c configs/kie/vi_layoutxlm/ser_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/ser_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/ser_vi_layoutxlm
```
转换成功后，在目录下有三个文件：
@@ -412,7 +412,7 @@ inference/ser_vi_layoutxlm/
# Architecture.Backbone.checkpoints 参数设置待转换的训练模型地址
# Global.save_inference_dir 参数设置转换的模型将保存的地址
-python3 tools/export_model.py -c configs/kie/vi_layoutxlm/re_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./output/re_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/re_vi_layoutxlm
+python3 tools/export_model.py -c configs/kie/vi_layoutxlm/re_vi_layoutxlm_xfund_zh.yml -o Architecture.Backbone.checkpoints=./json/re_vi_layoutxlm_xfund_zh/best_accuracy Global.save_inference_dir=./inference/re_vi_layoutxlm
```
转换成功后，在目录下有三个文件：
diff --git a/docs/ppstructure/blog/return_word_pos.en.md b/docs/ppstructure/blog/return_word_pos.en.md
index 7b26541..24a2968 100644
--- a/docs/ppstructure/blog/return_word_pos.en.md
+++ b/docs/ppstructure/blog/return_word_pos.en.md
@@ -43,7 +43,7 @@ python predict_system.py \
--layout_dict_path=../ppocr/utils/dict/layout_dict/layout_publaynet_dict.txt \
--vis_font_path=../doc/fonts/simfang.ttf \
--recovery=True \
---output=../output/ \
+--json=../json/ \
--return_word_box=True
```
@@ -91,7 +91,7 @@ python predict_system.py \
--layout_dict_path=../ppocr/utils/dict/layout_dict/layout_cdla_dict.txt \
--vis_font_path=../doc/fonts/chinese_cht.ttf \
--recovery=True \
---output=../output/ \
+--json=../json/ \
--return_word_box=True
```
diff --git a/docs/ppstructure/blog/return_word_pos.md b/docs/ppstructure/blog/return_word_pos.md
index 30c962a..8b8fb79 100644
--- a/docs/ppstructure/blog/return_word_pos.md
+++ b/docs/ppstructure/blog/return_word_pos.md
@@ -43,7 +43,7 @@ python predict_system.py \
--layout_dict_path=../ppocr/utils/dict/layout_dict/layout_publaynet_dict.txt \
--vis_font_path=../doc/fonts/simfang.ttf \
--recovery=True \
- --output=../output/ \
+ --json=../json/ \
--return_word_box=True
```
@@ -91,7 +91,7 @@ python predict_system.py \
--layout_dict_path=../ppocr/utils/dict/layout_dict/layout_cdla_dict.txt \
--vis_font_path=../doc/fonts/chinese_cht.ttf \
--recovery=True \
- --output=../output/ \
+ --json=../json/ \
--return_word_box=True
```
diff --git a/docs/ppstructure/infer_deploy/cpp_infer.en.md b/docs/ppstructure/infer_deploy/cpp_infer.en.md
index 41e3f2a..30a0a8a 100644
--- a/docs/ppstructure/infer_deploy/cpp_infer.en.md
+++ b/docs/ppstructure/infer_deploy/cpp_infer.en.md
@@ -378,7 +378,7 @@ predict Crop_img: ../../doc/imgs/12.jpg
1 det boxes: [[23,507],[513,488],[515,529],[24,548]] rec text: 绿洲仕格维花园公寓 rec score: 0.993728
2 det boxes: [[187,456],[399,448],[400,480],[188,488]] rec text: 打浦路15号 rec score: 0.964994
3 det boxes: [[42,413],[483,391],[484,428],[43,450]] rec text: 上海斯格威铂尔大酒店 rec score: 0.980086
-The detection visualized image saved in ./output//12.jpg
+The detection visualized image saved in ./json//12.jpg
```
- layout+table
@@ -417,9 +417,9 @@ predict Crop_img: ../../ppstructure/docs/table/1.png
0 det boxes: [[6,2],[113,2],[113,14],[6,14]] rec text: 5.Conclusion rec score: 0.856903
********** end print ocr result **********
6 type: table, region: [14,360,402,711], score: 0.963643, res: Methods Ext R P F FPS TextSnake [18] Syn 85.3 67.9 75.6 CSE [17] MiLT 76.1 78.7 77.4 0.38 LOMO[40] Syn 76.5 85.7 80.8 4.4 ATRR[35] Sy- 80.2 80.1 80.1 - SegLink++ [28] Syn 79.8 82.8 81.3 - TextField [37] Syn 79.8 83.0 81.4 6.0 MSR[38] Syn 79.0 84.1 81.5 4.3 PSENet-1s [33] MLT 79.7 84.8 82.2 3.9 DB [12] Syn 80.2 86.9 83.4 22.0 CRAFT [2] Syn 81.1 86.0 83.5 - TextDragon [5] MLT+ 82.8 84.5 83.6 PAN [34] Syn 81.2 86.4 83.7 39.8 ContourNet [36] 84.1 83.7 83.9 4.5 DRRG [41] MLT 83.02 85.93 84.45 - TextPerception[23] Syn 81.9 87.5 84.6 Ours Syn 80.57 87.66 83.97 12.08 Ours 81.45 87.81 84.51 12.15 Ours MLT 83.60 86.45 85.00 12.21
-The table visualized image saved in ./output//6_1.png
+The table visualized image saved in ./json//6_1.png
7 type: table, region: [462,359,820,657], score: 0.953917, res: Methods R P F FPS SegLink [26] 70.0 86.0 77.0 8.9 PixelLink [4] 73.2 83.0 77.8 - TextSnake [18] 73.9 83.2 78.3 1.1 TextField [37] 75.9 87.4 81.3 5.2 MSR[38] 76.7 87.4 81.7 - FTSN[3] 77.1 87.6 82.0 : LSE[30] 81.7 84.2 82.9 CRAFT [2] 78.2 88.2 82.9 8.6 MCN [16] 79 88 83 - ATRR[35] 82.1 85.2 83.6 - PAN [34] 83.8 84.4 84.1 30.2 DB[12] 79.2 91.5 84.9 32.0 DRRG [41] 82.30 88.05 85.08 - Ours (SynText) 80.68 85.40 82.97 12.68 Ours (MLT-17) 84.54 86.62 85.57 12.31
-The table visualized image saved in ./output//7_1.png
+The table visualized image saved in ./json//7_1.png
8 type: figure, region: [14,3,836,310], score: 0.969443, res: count of ocr result is : 26
********** print ocr result **********
0 det boxes: [[506,14],[539,15],[539,22],[506,21]] rec text: E rec score: 0.318073
diff --git a/docs/ppstructure/infer_deploy/cpp_infer.md b/docs/ppstructure/infer_deploy/cpp_infer.md
index c6867eb..0497cb8 100644
--- a/docs/ppstructure/infer_deploy/cpp_infer.md
+++ b/docs/ppstructure/infer_deploy/cpp_infer.md
@@ -388,7 +388,7 @@ predict Crop_img: ../../doc/imgs/12.jpg
1 det boxes: [[23,507],[513,488],[515,529],[24,548]] rec text: 绿洲仕格维花园公寓 rec score: 0.993728
2 det boxes: [[187,456],[399,448],[400,480],[188,488]] rec text: 打浦路15号 rec score: 0.964994
3 det boxes: [[42,413],[483,391],[484,428],[43,450]] rec text: 上海斯格威铂尔大酒店 rec score: 0.980086
-The detection visualized image saved in ./output//12.jpg
+The detection visualized image saved in ./json//12.jpg
```
- layout+table
@@ -427,9 +427,9 @@ predict Crop_img: ../../ppstructure/docs/table/1.png
0 det boxes: [[6,2],[113,2],[113,14],[6,14]] rec text: 5.Conclusion rec score: 0.856903
********** end print ocr result **********
6 type: table, region: [14,360,402,711], score: 0.963643, res: Methods Ext R P F FPS TextSnake [18] Syn 85.3 67.9 75.6 CSE [17] MiLT 76.1 78.7 77.4 0.38 LOMO[40] Syn 76.5 85.7 80.8 4.4 ATRR[35] Sy- 80.2 80.1 80.1 - SegLink++ [28] Syn 79.8 82.8 81.3 - TextField [37] Syn 79.8 83.0 81.4 6.0 MSR[38] Syn 79.0 84.1 81.5 4.3 PSENet-1s [33] MLT 79.7 84.8 82.2 3.9 DB [12] Syn 80.2 86.9 83.4 22.0 CRAFT [2] Syn 81.1 86.0 83.5 - TextDragon [5] MLT+ 82.8 84.5 83.6 PAN [34] Syn 81.2 86.4 83.7 39.8 ContourNet [36] 84.1 83.7 83.9 4.5 DRRG [41] MLT 83.02 85.93 84.45 - TextPerception[23] Syn 81.9 87.5 84.6 Ours Syn 80.57 87.66 83.97 12.08 Ours 81.45 87.81 84.51 12.15 Ours MLT 83.60 86.45 85.00 12.21
-The table visualized image saved in ./output//6_1.png
+The table visualized image saved in ./json//6_1.png
7 type: table, region: [462,359,820,657], score: 0.953917, res: Methods R P F FPS SegLink [26] 70.0 86.0 77.0 8.9 PixelLink [4] 73.2 83.0 77.8 - TextSnake [18] 73.9 83.2 78.3 1.1 TextField [37] 75.9 87.4 81.3 5.2 MSR[38] 76.7 87.4 81.7 - FTSN[3] 77.1 87.6 82.0 : LSE[30] 81.7 84.2 82.9 CRAFT [2] 78.2 88.2 82.9 8.6 MCN [16] 79 88 83 - ATRR[35] 82.1 85.2 83.6 - PAN [34] 83.8 84.4 84.1 30.2 DB[12] 79.2 91.5 84.9 32.0 DRRG [41] 82.30 88.05 85.08 - Ours (SynText) 80.68 85.40 82.97 12.68 Ours (MLT-17) 84.54 86.62 85.57 12.31
-The table visualized image saved in ./output//7_1.png
+The table visualized image saved in ./json//7_1.png
8 type: figure, region: [14,3,836,310], score: 0.969443, res: count of ocr result is : 26
********** print ocr result **********
0 det boxes: [[506,14],[539,15],[539,22],[506,21]] rec text: E rec score: 0.318073
diff --git a/docs/ppstructure/infer_deploy/python_infer.en.md b/docs/ppstructure/infer_deploy/python_infer.en.md
index d405038..c2a080e 100644
--- a/docs/ppstructure/infer_deploy/python_infer.en.md
+++ b/docs/ppstructure/infer_deploy/python_infer.en.md
@@ -34,7 +34,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/1.png \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf
```
@@ -45,7 +45,7 @@ After the operation is completed, each image will have a directory with the same
```bash linenums="1"
python3 predict_system.py --layout_model_dir=inference/picodet_lcnet_x1_0_layout_infer \
--image_dir=./docs/table/1.png \
- --output=../output \
+ --json=../json \
--table=false \
--ocr=false
```
@@ -61,7 +61,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/table.jpg \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf \
--layout=false
```
diff --git a/docs/ppstructure/infer_deploy/python_infer.md b/docs/ppstructure/infer_deploy/python_infer.md
index 0db9803..b413eb8 100644
--- a/docs/ppstructure/infer_deploy/python_infer.md
+++ b/docs/ppstructure/infer_deploy/python_infer.md
@@ -37,7 +37,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/1.png \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf
```
@@ -48,7 +48,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
```bash linenums="1"
python3 predict_system.py --layout_model_dir=inference/picodet_lcnet_x1_0_layout_infer \
--image_dir=./docs/table/1.png \
- --output=../output \
+ --json=../json \
--table=false \
--ocr=false
```
@@ -64,7 +64,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/table.jpg \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf \
--layout=false
```
diff --git a/docs/ppstructure/model_train/recovery_to_doc.en.md b/docs/ppstructure/model_train/recovery_to_doc.en.md
index 722ee5b..17f22c6 100644
--- a/docs/ppstructure/model_train/recovery_to_doc.en.md
+++ b/docs/ppstructure/model_train/recovery_to_doc.en.md
@@ -96,7 +96,7 @@ python3 predict_system.py \
--image_dir=ppstructure/docs/recovery/UnrealText.pdf \
--recovery=True \
--use_pdf2docx_api=True \
- --output=../output/
+ --json=../json/
```
## 4. Quick Start using image format PDF parse
@@ -155,7 +155,7 @@ python3 predict_system.py \
--layout_dict_path=../ppocr/utils/dict/layout_dict/layout_publaynet_dict.txt \
--vis_font_path=../doc/fonts/simfang.ttf \
--recovery=True \
- --output=../output/
+ --json=../json/
```
After running, the docx of each picture will be saved in the directory specified by the output field
diff --git a/docs/ppstructure/model_train/recovery_to_doc.md b/docs/ppstructure/model_train/recovery_to_doc.md
index 09c1643..454fcc1 100644
--- a/docs/ppstructure/model_train/recovery_to_doc.md
+++ b/docs/ppstructure/model_train/recovery_to_doc.md
@@ -94,7 +94,7 @@ python3 predict_system.py \
--image_dir=ppstructure/docs/recovery/UnrealText.pdf \
--recovery=True \
--use_pdf2docx_api=True \
- --output=../output/
+ --json=../json/
```
## 4.使用图片格式PDF解析进行版面恢复
@@ -162,7 +162,7 @@ python3 predict_system.py \
--layout_dict_path=../ppocr/utils/dict/layout_dict/layout_publaynet_dict.txt \
--vis_font_path=../doc/fonts/simfang.ttf \
--recovery=True \
- --output=../output/
+ --json=../json/
```
运行完成后，恢复版面的docx文档会保存到`output`字段指定的目录下
diff --git a/docs/ppstructure/model_train/train_layout.en.md b/docs/ppstructure/model_train/train_layout.en.md
index 0af0a5b..1f8460f 100644
--- a/docs/ppstructure/model_train/train_layout.en.md
+++ b/docs/ppstructure/model_train/train_layout.en.md
@@ -258,7 +258,7 @@ python3 tools/train.py \
# GPU evaluation, weights as weights to be measured
python3 tools/eval.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=./output/picodet_lcnet_x1_0_layout/best_model
+ -o weights=./json/picodet_lcnet_x1_0_layout/best_model
```
The following information will be printed out, such as mAP, AP0.5, etc.
@@ -286,7 +286,7 @@ If you use the provided pre-training model for evaluation or the FGD distillatio
python3 tools/eval.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights=output/picodet_lcnet_x2_5_layout/best_model
+ -o weights=json/picodet_lcnet_x2_5_layout/best_model
```
- `-c`: Specify the model configuration file.
@@ -302,7 +302,7 @@ With trained PaddleDetection model, you can use the following commands to make
```bash linenums="1"
python3 tools/infer.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights='output/picodet_lcnet_x1_0_layout/best_model.pdparams' \
+ -o weights='json/picodet_lcnet_x1_0_layout/best_model.pdparams' \
--infer_img='docs/images/layout.jpg' \
--output_dir=output_dir/ \
--draw_threshold=0.5
@@ -318,7 +318,7 @@ If you use the provided pre-training model for prediction or the FGD distillatio
python3 tools/infer.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights='output/picodet_lcnet_x2_5_layout/best_model.pdparams' \
+ -o weights='json/picodet_lcnet_x2_5_layout/best_model.pdparams' \
--infer_img='docs/images/layout.jpg' \
--output_dir=output_dir/ \
--draw_threshold=0.5
@@ -339,7 +339,7 @@ Layout analysis model to inference model steps are as follows：
```bash linenums="1"
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=output/picodet_lcnet_x1_0_layout/best_model \
+ -o weights=json/picodet_lcnet_x1_0_layout/best_model \
--output_dir=output_inference/
```
@@ -361,7 +361,7 @@ If you change the `weights` model path using the provided pre-training model to
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights=./output/picodet_lcnet_x2_5_layout/best_model \
+ -o weights=./json/picodet_lcnet_x2_5_layout/best_model \
--output_dir=output_inference/
```
diff --git a/docs/ppstructure/model_train/train_layout.md b/docs/ppstructure/model_train/train_layout.md
index 15207db..779de6c 100644
--- a/docs/ppstructure/model_train/train_layout.md
+++ b/docs/ppstructure/model_train/train_layout.md
@@ -259,7 +259,7 @@ python3 tools/train.py \
# GPU 评估， weights 为待测权重
python3 tools/eval.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=./output/picodet_lcnet_x1_0_layout/best_model
+ -o weights=./json/picodet_lcnet_x1_0_layout/best_model
```
会输出以下信息，打印出mAP、AP0.5等信息。
@@ -287,7 +287,7 @@ python3 tools/eval.py \
python3 tools/eval.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights=output/picodet_lcnet_x2_5_layout/best_model
+ -o weights=json/picodet_lcnet_x2_5_layout/best_model
```
- `-c`: 指定模型配置文件。
@@ -303,7 +303,7 @@ python3 tools/eval.py \
```bash linenums="1"
python3 tools/infer.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights='output/picodet_lcnet_x1_0_layout/best_model.pdparams' \
+ -o weights='json/picodet_lcnet_x1_0_layout/best_model.pdparams' \
--infer_img='docs/images/layout.jpg' \
--output_dir=output_dir/ \
--draw_threshold=0.5
@@ -319,7 +319,7 @@ python3 tools/infer.py \
python3 tools/infer.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights='output/picodet_lcnet_x2_5_layout/best_model.pdparams' \
+ -o weights='json/picodet_lcnet_x2_5_layout/best_model.pdparams' \
--infer_img='docs/images/layout.jpg' \
--output_dir=output_dir/ \
--draw_threshold=0.5
@@ -336,7 +336,7 @@ inference 模型（`paddle.jit.save`保存的模型） 一般是模型训练，
```bash linenums="1"
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=output/picodet_lcnet_x1_0_layout/best_model \
+ -o weights=json/picodet_lcnet_x1_0_layout/best_model \
--output_dir=output_inference/
```
@@ -358,7 +358,7 @@ output_inference/picodet_lcnet_x1_0_layout/
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights=./output/picodet_lcnet_x2_5_layout/best_model \
+ -o weights=./json/picodet_lcnet_x2_5_layout/best_model \
--output_dir=output_inference/
```
diff --git a/docs/ppstructure/model_train/train_table.en.md b/docs/ppstructure/model_train/train_table.en.md
index 5a75ba2..94508ad 100644
--- a/docs/ppstructure/model_train/train_table.en.md
+++ b/docs/ppstructure/model_train/train_table.en.md
@@ -75,7 +75,7 @@ python3.7 table/predict_table.py \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
--image_dir=docs/table/table.jpg \
- --output=../output/table
+ --json=../json/table
```
diff --git a/docs/ppstructure/model_train/train_table.md b/docs/ppstructure/model_train/train_table.md
index 165e5bb..465190f 100644
--- a/docs/ppstructure/model_train/train_table.md
+++ b/docs/ppstructure/model_train/train_table.md
@@ -78,7 +78,7 @@ python table/predict_table.py \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
--image_dir=docs/table/table.jpg \
- --output=../output/table
+ --json=../json/table
```
运行完成后，每张图片的excel表格会保存到output字段指定的目录下，同时在该目录下回生产一个html文件，用于可视化查看单元格坐标和识别的表格。
diff --git a/docs/ppstructure/quick_start.en.md b/docs/ppstructure/quick_start.en.md
index cc236c9..ddf342a 100644
--- a/docs/ppstructure/quick_start.en.md
+++ b/docs/ppstructure/quick_start.en.md
@@ -96,7 +96,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True, image_orientation=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -124,7 +124,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -152,7 +152,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(table=False, ocr=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -170,7 +170,7 @@ from paddleocr import PPStructure,save_structure_res
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
result = ocr_engine(img_path)
for index, res in enumerate(result):
@@ -192,7 +192,7 @@ from PIL import Image
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
fitz = try_import("fitz")
@@ -228,7 +228,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(layout=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/table.jpg'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -256,7 +256,7 @@ table_engine = PPStructure(recovery=True)
# English image
# table_engine = PPStructure(recovery=True, lang='en')
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
diff --git a/docs/ppstructure/quick_start.md b/docs/ppstructure/quick_start.md
index 365d87e..dfabc86 100644
--- a/docs/ppstructure/quick_start.md
+++ b/docs/ppstructure/quick_start.md
@@ -114,7 +114,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True, image_orientation=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -142,7 +142,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -170,7 +170,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(table=False, ocr=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -188,7 +188,7 @@ from paddleocr import PPStructure,save_structure_res
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
result = ocr_engine(img_path)
for index, res in enumerate(result):
@@ -210,7 +210,7 @@ from PIL import Image
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
fitz = try_import("fitz")
@@ -246,7 +246,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(layout=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/table.jpg'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -274,7 +274,7 @@ table_engine = PPStructure(recovery=True)
# 英文测试图
# table_engine = PPStructure(recovery=True, lang='en')
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
diff --git a/ocr_api.py b/ocr_api.py
index 2b8a06e..138dc6b 100644
--- a/ocr_api.py
+++ b/ocr_api.py
@@ -1,12 +1,18 @@
-from fastapi import FastAPI
+# -*- coding: utf-8 -*-
+
+from fastapi import FastAPI, HTTPException
from pydantic import BaseModel
-import base64
+from typing import List
+import asyncio
import subprocess
import re
-import uuid
import os
import logging
-from typing import List
+import boto3
+from botocore.client import Config
+from snowflake import SnowflakeGenerator
+import requests
+import time # 导入 time 模块
app = FastAPI()
@@ -15,65 +21,210 @@ logger = logging.getLogger(__name__)
ansi_escape = re.compile(r'\x1b[^m]*m')
+minio_config = {
+ "endpoint_url": "http://192.168.10.137:9002", # MinIO endpoint
+ "aws_access_key_id": "admin", # MinIO accessKey
+ "aws_secret_access_key": "12345678", # MinIO secretKey
+}
+bucket_name = "nxfuhsi" # MinIO bucket name
+
+s3_client = boto3.client("s3", **minio_config)
+
+gen = SnowflakeGenerator(42)
+
+# API URL of the large model
+model_api_url = "http://112.81.86.50:11434/api/chat"
+
class PictureRequest(BaseModel):
- pic_id: int
- pic: str
+ file_ids: List[str]
+ suffix: str
class PictureResponse(BaseModel):
- pic_id: int
- pic_txt: str
- code: int
+ file_id: str
+ draw_img_id: str
+ ocr_text: str
+ status: int
+ error_msg: str = None
+
+
+class TitleRequest(BaseModel):
+ text: str
+
+
+class TitleResponse(BaseModel):
+ title: str
+ status: int
+ error_msg: str = None
+
+
+def send_request_to_model(text: str) -> TitleResponse:
+ prompt = """
+ 提取下面文本中前40个字中明显的标题：
+
+ ### 注意事项：
+ 1. 将结果以JSON格式返回。不需要进行解释。
+ 2. 如果某字段提取不到，则返回""。
+ 3. 文本原文可能为空，返回""。
+ 4. 标题只会出现在前40个字中
+ 5. 非常明确是标题的文本，才能返回结果。
+ 6. 有可能很大概率是没有标题的。
+
+ 文本原文：
+ {text}
+ 输出json格式：{{"title":"*****"}},如果没有明显标题：{{"title":""}}。
+
+ 回溯你输出的结果，确保你的输出结果符合json格式。
+ """
+ prompt_t = prompt.format(text=text)
+
+ payload = {
+ "model": "qwen2:72b",
+ "messages": [
+ {"role": "user", "content": f"{prompt_t}"}
+ ],
+ "type": "json_object",
+ "stream": False
+ }
+
+ headers = {"Content-Type": "application/json"}
+
+ try:
+ response = requests.post(model_api_url, json=payload, headers=headers)
+ response.raise_for_status()
+ result = response.json()
+
+ json_pattern = re.compile(r'\{"title":\s*"([^"]*)"\}')
+ content = result.get('message', {}).get('content', '')
+ if not isinstance(content, str):
+ raise ValueError("Invalid response content")
+
+ matches = json_pattern.findall(content)
+
+ if len(matches) == 1:
+ title_value = matches[0]
+ return TitleResponse(title=title_value, status=0, error_msg="")
+ else:
+ return TitleResponse(title="", status=0, error_msg="")
+
+ except requests.exceptions.RequestException as e:
+ logger.error(f"Failed to request model API: {e}")
+ return TitleResponse(title="", status=2, error_msg=f"Request failed: {e}")
+ except ValueError as e:
+ logger.error(f"Invalid result returned by model API: {e}")
+ return TitleResponse(title="", status=2, error_msg=f"Invalid result: {e}")
+
+
+async def process_image(file_id: str, suffix: str) -> PictureResponse:
+ start_time = time.time() # 记录总处理开始时间
+ temp_image_file = None
+ processed_file_name = None
+ error_msg = ""
+ try:
+ logger.info(f"图片后缀: “{suffix}”")
+ if not suffix:
+ suffix = "jpg" # 默认后缀为 jpg
+ logger.info(f"无后缀,更改图片后缀为: {suffix}")
+ else:
+ suffix = suffix
+
+ # Step 1: 从 MinIO 获取图片
+ step_start_time = time.time()
+ pic_name = f"{file_id}"
+ response = s3_client.get_object(Bucket=bucket_name, Key=pic_name)
+ image_data = response['Body'].read()
+ logger.info(f"从 MinIO 获取图片时间: {time.time() - step_start_time:.2f} 秒")
+
+ # Step 2: 将图片写入临时文件
+ step_start_time = time.time()
+ temp_image_file = f"{next(gen)}.{suffix}"
+ with open(temp_image_file, "wb") as f:
+ f.write(image_data)
+ logger.info(f"写入临时文件时间: {time.time() - step_start_time:.2f} 秒")
+
+ # Step 3: 调用 OCR 脚本进行识别
+ step_start_time = time.time()
+ command = [
+ 'python', 'tools/infer/predict_system_1.py',
+ '--use_gpu=False',
+ '--cls_model_dir=./models/cls',
+ '--rec_model_dir=./models/rec',
+ '--det_model_dir=./models/det',
+ f'--image_dir={temp_image_file}'
+ ]
+
+ logger.info(f"正在处理file_id: {file_id}的图像 ")
+ process = await asyncio.create_subprocess_exec(
+ *command,
+ stdout=subprocess.PIPE,
+ stderr=subprocess.PIPE
+ )
+
+ stdout, stderr = await process.communicate()
+
+ if process.returncode == 0:
+ ocr_str = ansi_escape.sub('', stdout.decode()).strip()
+ status = 0
+ logger.info(f"对file_id:{file_id}的OCR成功")
+ logger.info(f"OCR 脚本识别时间: {time.time() - step_start_time:.2f} 秒")
+
+ # Step 4: 将识别结果上传到 MinIO
+ step_start_time = time.time()
+ processed_file_id = str(next(gen))
+ processed_file_name = processed_file_id # Remove the suffix
+ result_file_path = f"inference_results/{temp_image_file}"
+
+ with open(result_file_path, "rb") as data:
+ s3_client.upload_fileobj(data, bucket_name, processed_file_name)
+ logger.info(f"文件: {processed_file_name} 存储在MinIO中。")
+ logger.info(f"上传至 MinIO 时间: {time.time() - step_start_time:.2f} 秒")
+ else:
+ ocr_str = ""
+ status = 2
+ error_msg = stderr.decode().strip()
+ logger.error(f"对file_id:{file_id}的OCR失败, return code: {process.returncode}")
+
+ except Exception as e:
+ ocr_str = ""
+ status = 2
+ error_msg = str(e)
+ processed_file_id = file_id
+ logger.exception(f"处理file_id: {file_id}时发生异常")
+
+ finally:
+ # Step 5: 删除临时文件
+ if temp_image_file and os.path.exists(temp_image_file):
+ os.remove(temp_image_file)
+ if processed_file_name:
+ result_file_path = f"inference_results/{temp_image_file}"
+ if os.path.exists(result_file_path):
+ os.remove(result_file_path)
+ logger.info(f"临时文件: {result_file_path} 已被删除")
+ logger.info(f"删除临时文件时间: {time.time() - step_start_time:.2f} 秒")
+
+ logger.info(f"总处理时间: {time.time() - start_time:.2f} 秒")
+ return PictureResponse(
+ file_id=file_id,
+ draw_img_id=processed_file_id if status == 0 else "",
+ ocr_text=ocr_str,
+ status=status,
+ error_msg=error_msg
+ )
@app.post("/ocr", response_model=List[PictureResponse])
-async def ocr_endpoint(pictures: List[PictureRequest]):
- results = []
-
- for picture in pictures:
- image_data = base64.b64decode(picture.pic)
- temp_image_file = f"{uuid.uuid4()}.jpg" # 使用uuid生成唯一的临时文件名
-
- try:
- with open(temp_image_file, "wb") as f:
- f.write(image_data)
-
- command = [
- 'python', 'tools/infer/predict_system_1.py',
- '--use_gpu=False',
- '--cls_model_dir=./models/cls',
- '--rec_model_dir=./models/rec',
- '--det_model_dir=./models/det',
- f'--image_dir={temp_image_file}'
- ]
-
- logger.info(f"Processing image with pic_id: {picture.pic_id}")
- result = subprocess.run(command, capture_output=True, text=True, encoding='utf-8', errors='ignore')
-
- if result.returncode == 0:
- ocr_str = ansi_escape.sub('', result.stdout).strip()
- code = 200
- logger.info(f"OCR successful for pic_id: {picture.pic_id}")
- else:
- ocr_str = ""
- code = 500
- logger.error(f"OCR failed for pic_id: {picture.pic_id}, return code: {result.returncode}")
-
- except Exception as e:
- ocr_str = str(e)
- code = 500
- logger.exception(f"Exception occurred while processing pic_id: {picture.pic_id}")
-
- finally:
- if os.path.exists(temp_image_file):
- os.remove(temp_image_file) # 确保临时文件在处理完成后被删除
-
- results.append({"pic_id": picture.pic_id, "pic_txt": ocr_str, "code": code})
-
+async def ocr_endpoint(picture: PictureRequest):
+ tasks = [process_image(file_id, picture.suffix) for file_id in picture.file_ids]
+ results = await asyncio.gather(*tasks)
return results
+@app.post("/retrieve", response_model=TitleResponse)
+def get_title(request: TitleRequest):
+ return send_request_to_model(request.text)
+
+
if __name__ == "__main__":
import uvicorn
diff --git a/ppocr/data/imaug/drrg_targets.py b/ppocr/data/imaug/drrg_targets.py
index 8eeef26..f99a5f2 100644
--- a/ppocr/data/imaug/drrg_targets.py
+++ b/ppocr/data/imaug/drrg_targets.py
@@ -712,7 +712,7 @@ class DRRGTargets(object):
data (dict): The input result dictionary.
Returns:
- data (dict): The output result dictionary.
+ data (dict): The json result dictionary.
"""
assert isinstance(data, dict)
diff --git a/ppocr/data/imaug/fce_targets.py b/ppocr/data/imaug/fce_targets.py
index 9955980..b4bbbef 100644
--- a/ppocr/data/imaug/fce_targets.py
+++ b/ppocr/data/imaug/fce_targets.py
@@ -661,7 +661,7 @@ class FCENetTargets:
results (dict): The input result dictionary.
Returns:
- results (dict): The output result dictionary.
+ results (dict): The json result dictionary.
"""
assert isinstance(results, dict)
diff --git a/ppocr/data/imaug/label_ops.py b/ppocr/data/imaug/label_ops.py
index 7d4afec..0ae37b8 100644
--- a/ppocr/data/imaug/label_ops.py
+++ b/ppocr/data/imaug/label_ops.py
@@ -143,7 +143,7 @@ class BaseRecLabelEncode(object):
input:
text: text labels of each image. [batch_size]
- output:
+ json:
text: concatenated text index for CTCLoss.
[sum(text_lengths)] = [text_index_0 + text_index_1 + ... + text_index_(n - 1)]
length: length of each text. [batch_size]
diff --git a/ppocr/modeling/backbones/rec_efficientb3_pren.py b/ppocr/modeling/backbones/rec_efficientb3_pren.py
index dab4a2a..3e9c43b 100644
--- a/ppocr/modeling/backbones/rec_efficientb3_pren.py
+++ b/ppocr/modeling/backbones/rec_efficientb3_pren.py
@@ -196,7 +196,7 @@ class MbConvBlock(nn.Layer):
self._se_reduce = nn.Conv2D(oup, num_squeezed_channels, 1)
self._se_expand = nn.Conv2D(num_squeezed_channels, oup, 1)
- # output phase and some util class
+ # json phase and some util class
self.final_oup = self._block_args.output_filters
self._project_conv = nn.Conv2D(oup, self.final_oup, 1, bias_attr=False)
self._bn2 = nn.BatchNorm(self.final_oup)
diff --git a/ppocr/modeling/backbones/rec_resnet_31.py b/ppocr/modeling/backbones/rec_resnet_31.py
index c4aa4fc..004a94b 100644
--- a/ppocr/modeling/backbones/rec_resnet_31.py
+++ b/ppocr/modeling/backbones/rec_resnet_31.py
@@ -104,7 +104,7 @@ class ResNet31(nn.Layer):
in_channels (int): Number of channels of input image tensor.
layers (list[int]): List of BasicBlock number for each stage.
channels (list[int]): List of out_channels of Conv2d layer.
- out_indices (None | Sequence[int]): Indices of output stages.
+ out_indices (None | Sequence[int]): Indices of json stages.
last_stage_pool (bool): If True, add `MaxPool2d` layer to last stage.
init_type (None | str): the config to control the initialization.
"""
diff --git a/ppocr/modeling/backbones/rec_resnet_32.py b/ppocr/modeling/backbones/rec_resnet_32.py
index 63d78d3..42c20cb 100644
--- a/ppocr/modeling/backbones/rec_resnet_32.py
+++ b/ppocr/modeling/backbones/rec_resnet_32.py
@@ -39,7 +39,7 @@ class ResNet32(nn.Layer):
Args:
in_channels (int): input channel
- output_channel (int): output channel
+ output_channel (int): json channel
"""
super(ResNet32, self).__init__()
self.out_channels = out_channels
@@ -51,7 +51,7 @@ class ResNet32(nn.Layer):
inputs: input feature
Returns:
- output feature
+ json feature
"""
return self.ConvNet(inputs)
@@ -131,7 +131,7 @@ class ResNet(nn.Layer):
Args:
input_channel (int): input channel
- output_channel (int): output channel
+ output_channel (int): json channel
block (BasicBlock): convolution block
layers (list): layers of the block
"""
diff --git a/ppocr/modeling/backbones/rec_resnet_fpn.py b/ppocr/modeling/backbones/rec_resnet_fpn.py
index d259f1d..cb87e86 100644
--- a/ppocr/modeling/backbones/rec_resnet_fpn.py
+++ b/ppocr/modeling/backbones/rec_resnet_fpn.py
@@ -196,7 +196,7 @@ class ConvBNLayer(nn.Layer):
stride=stride,
padding=(kernel_size - 1) // 2,
groups=groups,
- weight_attr=ParamAttr(name=name + ".conv2d.output.1.w_0"),
+ weight_attr=ParamAttr(name=name + ".conv2d.json.1.w_0"),
bias_attr=False,
)
@@ -207,8 +207,8 @@ class ConvBNLayer(nn.Layer):
self.bn = nn.BatchNorm(
num_channels=out_channels,
act=act,
- param_attr=ParamAttr(name=name + ".output.1.w_0"),
- bias_attr=ParamAttr(name=name + ".output.1.b_0"),
+ param_attr=ParamAttr(name=name + ".json.1.w_0"),
+ bias_attr=ParamAttr(name=name + ".json.1.b_0"),
moving_mean_name=bn_name + "_mean",
moving_variance_name=bn_name + "_variance",
)
diff --git a/ppocr/modeling/backbones/rec_resnet_rfl.py b/ppocr/modeling/backbones/rec_resnet_rfl.py
index 4742ef8..e3f9cc6 100644
--- a/ppocr/modeling/backbones/rec_resnet_rfl.py
+++ b/ppocr/modeling/backbones/rec_resnet_rfl.py
@@ -90,7 +90,7 @@ class ResNetRFL(nn.Layer):
Args:
in_channels (int): input channel
- out_channels (int): output channel
+ out_channels (int): json channel
"""
super(ResNetRFL, self).__init__()
assert use_cnt or use_seq
diff --git a/ppocr/modeling/heads/local_graph.py b/ppocr/modeling/heads/local_graph.py
index f65c9aa..3166ed8 100644
--- a/ppocr/modeling/heads/local_graph.py
+++ b/ppocr/modeling/heads/local_graph.py
@@ -74,7 +74,7 @@ def feature_embedding(input_feats, out_feat_len):
Args:
input_feats (ndarray): The input features of shape (N, d), where N is
the number of nodes in graph, d is the input feature vector length.
- out_feat_len (int): The length of output feature vector.
+ out_feat_len (int): The length of json feature vector.
Returns:
embedded_feats (ndarray): The embedded features.
diff --git a/ppocr/modeling/heads/rec_aster_head.py b/ppocr/modeling/heads/rec_aster_head.py
index ca4809f..39ea0ba 100644
--- a/ppocr/modeling/heads/rec_aster_head.py
+++ b/ppocr/modeling/heads/rec_aster_head.py
@@ -81,7 +81,7 @@ class Embedding(nn.Layer):
self.mid_dim = mid_dim
self.eEmbed = nn.Linear(
in_timestep * in_planes, self.embed_dim
- ) # Embed encoder output to a word-embedding like
+ ) # Embed encoder json to a word-embedding like
def forward(self, x):
x = paddle.reshape(x, [x.shape[0], -1])
@@ -92,13 +92,13 @@ class Embedding(nn.Layer):
class AttentionRecognitionHead(nn.Layer):
"""
input: [b x 16 x 64 x in_planes]
- output: probability sequence: [b x T x num_classes]
+ json: probability sequence: [b x T x num_classes]
"""
def __init__(self, in_channels, out_channels, sDim, attDim, max_len_labels):
super(AttentionRecognitionHead, self).__init__()
self.num_classes = (
- out_channels # this is the output classes. So it includes the .
+ out_channels # this is the json classes. So it includes the .
)
self.in_planes = in_channels
self.sDim = sDim
@@ -241,7 +241,7 @@ class AttentionRecognitionHead(nn.Layer):
[self.max_len_labels] * beam_width for _ in range(batch_size)
] # Placeholder for lengths of top-k sequences
- # the last step output of the beams are not sorted
+ # the last step json of the beams are not sorted
# thus they are sorted here
sorted_score, sorted_idx = paddle.topk(
paddle.reshape(stored_scores[-1], shape=[batch_size, beam_width]),
diff --git a/ppocr/modeling/heads/rec_nrtr_head.py b/ppocr/modeling/heads/rec_nrtr_head.py
index ad01438..4acc8d5 100644
--- a/ppocr/modeling/heads/rec_nrtr_head.py
+++ b/ppocr/modeling/heads/rec_nrtr_head.py
@@ -146,7 +146,7 @@ class Transformer(nn.Layer):
- src: :math:`(B, sN, C)`.
- tgt: :math:`(B, tN, C)`.
Examples:
- >>> output = transformer_model(src, tgt)
+ >>> json = transformer_model(src, tgt)
"""
if self.training:
@@ -524,9 +524,9 @@ class PositionalEncoding(nn.Layer):
x: the sequence fed to the positional encoder model (required).
Shape:
x: [sequence length, batch size, embed dim]
- output: [sequence length, batch size, embed dim]
+ json: [sequence length, batch size, embed dim]
Examples:
- >>> output = pos_encoder(x)
+ >>> json = pos_encoder(x)
"""
x = x.transpose([1, 0, 2])
x = x + self.pe[: x.shape[0], :]
@@ -577,9 +577,9 @@ class PositionalEncoding_2d(nn.Layer):
x: the sequence fed to the positional encoder model (required).
Shape:
x: [sequence length, batch size, embed dim]
- output: [sequence length, batch size, embed dim]
+ json: [sequence length, batch size, embed dim]
Examples:
- >>> output = pos_encoder(x)
+ >>> json = pos_encoder(x)
"""
w_pe = self.pe[: x.shape[-1], :]
w1 = self.linear1(self.avg_pool_1(x).squeeze()).unsqueeze(0)
diff --git a/ppocr/modeling/heads/rec_robustscanner_head.py b/ppocr/modeling/heads/rec_robustscanner_head.py
index d11a78c..7c07048 100644
--- a/ppocr/modeling/heads/rec_robustscanner_head.py
+++ b/ppocr/modeling/heads/rec_robustscanner_head.py
@@ -62,7 +62,7 @@ class ChannelReductionEncoder(nn.Layer):
Args:
in_channels (int): Number of input channels.
- out_channels (int): Number of output channels.
+ out_channels (int): Number of json channels.
"""
def __init__(self, in_channels, out_channels, **kwargs):
@@ -130,25 +130,25 @@ class SequenceAttentionDecoder(BaseDecoder):
Robust Text Recognition `_
Args:
- num_classes (int): Number of output classes :math:`C`.
+ num_classes (int): Number of json classes :math:`C`.
rnn_layers (int): Number of RNN layers.
dim_input (int): Dimension :math:`D_i` of input vector ``feat``.
dim_model (int): Dimension :math:`D_m` of the model. Should also be the
- same as encoder output vector ``out_enc``.
- max_seq_len (int): Maximum output sequence length :math:`T`.
+ same as encoder json vector ``out_enc``.
+ max_seq_len (int): Maximum json sequence length :math:`T`.
start_idx (int): The index of ``.
mask (bool): Whether to mask input features according to
``img_meta['valid_ratio']``.
padding_idx (int): The index of ``.
dropout (float): Dropout rate.
return_feature (bool): Return feature or logits as the result.
- encode_value (bool): Whether to use the output of encoder ``out_enc``
+ encode_value (bool): Whether to use the json of encoder ``out_enc``
as `value` of attention layer. If False, the original feature
``feat`` will be used.
Warning:
This decoder will not predict the final class which is assumed to be
- ``. Therefore, its output size is always :math:`C - 1`. ``
+ ``. Therefore, its json size is always :math:`C - 1`. ``
is also ignored by loss as specified in
:obj:`mmocr.models.textrecog.recognizer.EncodeDecodeRecognizer`.
"""
@@ -203,7 +203,7 @@ class SequenceAttentionDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
targets (Tensor): a tensor of shape :math:`(N, T)`. Each element is the index of a
character.
@@ -247,12 +247,12 @@ class SequenceAttentionDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
valid_ratios (Tensor): valid length ratio of Crop_img.
Returns:
- Tensor: The output logit sequence tensor of shape
+ Tensor: The json logit sequence tensor of shape
:math:`(N, T, C-1)`.
"""
seq_len = self.max_seq_len
@@ -282,7 +282,7 @@ class SequenceAttentionDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
decode_sequence (Tensor): Shape :math:`(N, T)`. The tensor that
stores history decoding result.
@@ -361,22 +361,22 @@ class PositionAttentionDecoder(BaseDecoder):
Robust Text Recognition `_
Args:
- num_classes (int): Number of output classes :math:`C`.
+ num_classes (int): Number of json classes :math:`C`.
rnn_layers (int): Number of RNN layers.
dim_input (int): Dimension :math:`D_i` of input vector ``feat``.
dim_model (int): Dimension :math:`D_m` of the model. Should also be the
- same as encoder output vector ``out_enc``.
- max_seq_len (int): Maximum output sequence length :math:`T`.
+ same as encoder json vector ``out_enc``.
+ max_seq_len (int): Maximum json sequence length :math:`T`.
mask (bool): Whether to mask input features according to
``img_meta['valid_ratio']``.
return_feature (bool): Return feature or logits as the result.
- encode_value (bool): Whether to use the output of encoder ``out_enc``
+ encode_value (bool): Whether to use the json of encoder ``out_enc``
as `value` of attention layer. If False, the original feature
``feat`` will be used.
Warning:
This decoder will not predict the final class which is assumed to be
- ``. Therefore, its output size is always :math:`C - 1`. ``
+ ``. Therefore, its json size is always :math:`C - 1`. ``
is also ignored by loss
"""
@@ -427,7 +427,7 @@ class PositionAttentionDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
targets (dict): A dict with the key ``padded_targets``, a
tensor of shape :math:`(N, T)`. Each element is the index of a
@@ -470,7 +470,7 @@ class PositionAttentionDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
valid_ratios (Tensor): valid length ratio of Crop_img
position_index (Tensor): The position of each word.
@@ -528,22 +528,22 @@ class RobustScannerDecoder(BaseDecoder):
Robust Text Recognition `_
Args:
- num_classes (int): Number of output classes :math:`C`.
+ num_classes (int): Number of json classes :math:`C`.
dim_input (int): Dimension :math:`D_i` of input vector ``feat``.
dim_model (int): Dimension :math:`D_m` of the model. Should also be the
- same as encoder output vector ``out_enc``.
- max_seq_len (int): Maximum output sequence length :math:`T`.
+ same as encoder json vector ``out_enc``.
+ max_seq_len (int): Maximum json sequence length :math:`T`.
start_idx (int): The index of ``.
mask (bool): Whether to mask input features according to
``img_meta['valid_ratio']``.
padding_idx (int): The index of ``.
- encode_value (bool): Whether to use the output of encoder ``out_enc``
+ encode_value (bool): Whether to use the json of encoder ``out_enc``
as `value` of attention layer. If False, the original feature
``feat`` will be used.
Warning:
This decoder will not predict the final class which is assumed to be
- ``. Therefore, its output size is always :math:`C - 1`. ``
+ ``. Therefore, its json size is always :math:`C - 1`. ``
is also ignored by loss as specified in
:obj:`mmocr.models.textrecog.recognizer.EncodeDecodeRecognizer`.
"""
@@ -612,7 +612,7 @@ class RobustScannerDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
target (dict): A dict with the key ``padded_targets``, a
tensor of shape :math:`(N, T)`. Each element is the index of a
@@ -640,12 +640,12 @@ class RobustScannerDecoder(BaseDecoder):
"""
Args:
feat (Tensor): Tensor of shape :math:`(N, D_i, H, W)`.
- out_enc (Tensor): Encoder output of shape
+ out_enc (Tensor): Encoder json of shape
:math:`(N, D_m, H, W)`.
valid_ratios (Tensor):
word_positions (Tensor): The position of each word.
Returns:
- Tensor: The output logit sequence tensor of shape
+ Tensor: The json logit sequence tensor of shape
:math:`(N, T, C-1)`.
"""
seq_len = self.max_seq_len
diff --git a/ppocr/modeling/heads/rec_visionlan_head.py b/ppocr/modeling/heads/rec_visionlan_head.py
index 755856f..524fb2d 100644
--- a/ppocr/modeling/heads/rec_visionlan_head.py
+++ b/ppocr/modeling/heads/rec_visionlan_head.py
@@ -265,8 +265,8 @@ class Prediction(nn.Layer):
self.pp_share = PP_layer(
n_dim=n_dim, N_max_character=N_max_character, n_position=n_position
)
- self.w_vrm = nn.Linear(n_dim, n_class) # output layer
- self.w_share = nn.Linear(n_dim, n_class) # output layer
+ self.w_vrm = nn.Linear(n_dim, n_class) # json layer
+ self.w_share = nn.Linear(n_dim, n_class) # json layer
self.nclass = n_class
def forward(self, cnn_feature, f_res, f_sub, train_mode=False, use_mlm=True):
@@ -348,7 +348,7 @@ class MLM_VRM(nn.Layer):
x: input image
label_pos: character index
training_step: LF or LA process
- output
+ json
text_pre: prediction of VRM
test_rem: prediction of remaining string in MLM
text_mas: prediction of occluded character in MLM
diff --git a/ppocr/modeling/heads/self_attention.py b/ppocr/modeling/heads/self_attention.py
index 4f3ad32..b8c0010 100644
--- a/ppocr/modeling/heads/self_attention.py
+++ b/ppocr/modeling/heads/self_attention.py
@@ -306,7 +306,7 @@ class MultiHeadAttention(nn.Layer):
out = paddle.transpose(out, perm=[0, 2, 1, 3])
out = paddle.reshape(x=out, shape=[0, 0, out.shape[2] * out.shape[3]])
- # project to output
+ # project to json
out = self.proj_fc(out)
return out
diff --git a/ppocr/modeling/heads/table_att_head.py b/ppocr/modeling/heads/table_att_head.py
index 127b7ce..a8aa539 100644
--- a/ppocr/modeling/heads/table_att_head.py
+++ b/ppocr/modeling/heads/table_att_head.py
@@ -397,7 +397,7 @@ class SLAHead(nn.Layer):
@return:
"""
emb_feature = self.emb(pre_chars)
- # output shape is b * self.hidden_size
+ # json shape is b * self.hidden_size
(output, hidden), alpha = self.structure_attention_cell(
hidden, features, emb_feature
)
diff --git a/ppocr/modeling/necks/csp_pan.py b/ppocr/modeling/necks/csp_pan.py
index 5e8464d..065203e 100644
--- a/ppocr/modeling/necks/csp_pan.py
+++ b/ppocr/modeling/necks/csp_pan.py
@@ -63,7 +63,7 @@ class DPModule(nn.Layer):
Depth-wise and point-wise module.
Args:
in_channel (int): The input channels of this Module.
- out_channel (int): The output channels of this Module.
+ out_channel (int): The json channels of this Module.
kernel_size (int): The conv2d kernel size of this Module.
stride (int): The conv2d's stride of this Module.
act (str): The activation function of this Module,
@@ -114,12 +114,12 @@ class DPModule(nn.Layer):
class DarknetBottleneck(nn.Layer):
"""The basic bottleneck block used in Darknet.
Each Block consists of two ConvModules and the input is added to the
- final output. Each ConvModule is composed of Conv, BN, and act.
+ final json. Each ConvModule is composed of Conv, BN, and act.
The first convLayer has filter size of 1x1 and the second one has the
filter size of 3x3.
Args:
in_channels (int): The input channels of this Module.
- out_channels (int): The output channels of this Module.
+ out_channels (int): The json channels of this Module.
expansion (int): The kernel size of the convolution. Default: 0.5
add_identity (bool): Whether to add identity to the out.
Default: True
@@ -167,7 +167,7 @@ class CSPLayer(nn.Layer):
"""Cross Stage Partial Layer.
Args:
in_channels (int): The input channels of the CSP layer.
- out_channels (int): The output channels of the CSP layer.
+ out_channels (int): The json channels of the CSP layer.
expand_ratio (float): Ratio to adjust the number of channels of the
hidden layer. Default: 0.5
num_blocks (int): Number of blocks. Default: 1
@@ -235,7 +235,7 @@ class CSPPAN(nn.Layer):
"""Path Aggregation Network with CSP module.
Args:
in_channels (List[int]): Number of input channels per scale.
- out_channels (int): Number of output channels (used at each scale)
+ out_channels (int): Number of json channels (used at each scale)
kernel_size (int): The conv2d kernel size of this Module.
num_csp_blocks (int): Number of bottlenecks in CSPLayer. Default: 1
use_depthwise (bool): Whether to depthwise separable convolution in
diff --git a/ppocr/modeling/necks/fce_fpn.py b/ppocr/modeling/necks/fce_fpn.py
index a456fd1..99405b1 100644
--- a/ppocr/modeling/necks/fce_fpn.py
+++ b/ppocr/modeling/necks/fce_fpn.py
@@ -93,10 +93,10 @@ class FCEFPN(nn.Layer):
Feature Pyramid Network, see https://arxiv.org/abs/1612.03144
Args:
in_channels (list[int]): input channels of each level which can be
- derived from the output shape of backbone by from_config
- out_channels (list[int]): output channel of each level
+ derived from the json shape of backbone by from_config
+ out_channels (list[int]): json channel of each level
spatial_scales (list[float]): the spatial scales between input feature
- maps and original input image which can be derived from the output
+ maps and original input image which can be derived from the json
shape of backbone by from_config
has_extra_convs (bool): whether to add extra conv to the last level.
default False
diff --git a/ppocr/modeling/necks/rf_adaptor.py b/ppocr/modeling/necks/rf_adaptor.py
index e27e894..67b9a54 100644
--- a/ppocr/modeling/necks/rf_adaptor.py
+++ b/ppocr/modeling/necks/rf_adaptor.py
@@ -78,7 +78,7 @@ class V2SAdaptor(nn.Layer):
self.in_channels = in_channels
self.return_mask = return_mask
- # output transformation
+ # json transformation
self.channel_inter = nn.Linear(
self.in_channels, self.in_channels, bias_attr=False
)
diff --git a/ppocr/modeling/necks/rnn.py b/ppocr/modeling/necks/rnn.py
index fa7b8a1..f3c7bcc 100644
--- a/ppocr/modeling/necks/rnn.py
+++ b/ppocr/modeling/necks/rnn.py
@@ -190,7 +190,7 @@ class EncoderWithSVTR(nn.Layer):
)
self.norm = nn.LayerNorm(hidden_dims, epsilon=1e-6)
self.conv3 = ConvBNLayer(hidden_dims, in_channels, kernel_size=1, act=nn.Swish)
- # last conv-nxn, the input is concat of input tensor and conv3 output tensor
+ # last conv-nxn, the input is concat of input tensor and conv3 json tensor
self.conv4 = ConvBNLayer(
2 * in_channels,
in_channels // 8,
diff --git a/ppocr/postprocess/fce_postprocess.py b/ppocr/postprocess/fce_postprocess.py
index bff9316..a39b308 100644
--- a/ppocr/postprocess/fce_postprocess.py
+++ b/ppocr/postprocess/fce_postprocess.py
@@ -175,7 +175,7 @@ class FCEPostProcess(object):
"""Decoding predictions of FCENet to instances.
Args:
- preds (list(Tensor)): The head output tensors.
+ preds (list(Tensor)): The head json tensors.
fourier_degree (int): The maximum Fourier transform degree k.
num_reconstr_points (int): The points number of the polygon
reconstructed from predicted Fourier coefficients.
diff --git a/ppocr/postprocess/picodet_postprocess.py b/ppocr/postprocess/picodet_postprocess.py
index 9189c8e..78c817f 100644
--- a/ppocr/postprocess/picodet_postprocess.py
+++ b/ppocr/postprocess/picodet_postprocess.py
@@ -239,7 +239,7 @@ class PicoDetPostProcess(object):
else:
picked_box_probs = np.concatenate(picked_box_probs)
- # resize output boxes
+ # resize json boxes
picked_box_probs[:, :4] = self.warp_boxes(
picked_box_probs[:, :4], ori_shape[batch_id]
)
diff --git a/ppocr/utils/profiler.py b/ppocr/utils/profiler.py
index e4e3e05..ba591ba 100644
--- a/ppocr/utils/profiler.py
+++ b/ppocr/utils/profiler.py
@@ -105,7 +105,7 @@ def add_profiler_step(options_str=None):
# profile : https://www.paddlepaddle.org.cn/documentation/docs/zh/guides/performance_improving/profiling_model.html#chakanxingnengshujudetongjibiaodan
# timer_only = True only the model's throughput and time overhead are displayed
# timer_only = False calling summary can print a statistical form that presents performance data from different perspectives.
- # timer_only = False the output Timeline information can be found in the profiler_log directory
+ # timer_only = False the json Timeline information can be found in the profiler_log directory
if _prof is None:
_timer_only = str(_profiler_options["timer_only"]) == str(True)
_prof = profiler.Profiler(
diff --git a/ppstructure/docs/inference.md b/ppstructure/docs/inference.md
index a7efd5e..d997229 100644
--- a/ppstructure/docs/inference.md
+++ b/ppstructure/docs/inference.md
@@ -38,7 +38,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/1.png \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf
```
运行完成后，每张图片会在`output`字段指定的目录下的`structure`目录下有一个同名目录，图片里的每个表格会存储为一个excel，图片区域会被裁剪之后保存下来，excel文件和图片名为表格在图片里的坐标。详细的结果会存储在`res.txt`文件中。
@@ -48,7 +48,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
```bash
python3 predict_system.py --layout_model_dir=inference/picodet_lcnet_x1_0_layout_infer \
--image_dir=./docs/table/1.png \
- --output=../output \
+ --json=../json \
--table=false \
--ocr=false
```
@@ -63,7 +63,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/table.jpg \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf \
--layout=false
```
diff --git a/ppstructure/docs/inference_en.md b/ppstructure/docs/inference_en.md
index 69ca0b2..6f9c56b 100644
--- a/ppstructure/docs/inference_en.md
+++ b/ppstructure/docs/inference_en.md
@@ -40,7 +40,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/1.png \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf
```
After the operation is completed, each image will have a directory with the same name in the `structure` directory under the directory specified by the `output` field. Each table in the image will be stored as an excel, and the picture area will be cropped and saved. The filename of excel and picture is their coordinates in the image. Detailed results are stored in the `res.txt` file.
@@ -50,7 +50,7 @@ After the operation is completed, each image will have a directory with the same
```bash
python3 predict_system.py --layout_model_dir=inference/picodet_lcnet_x1_0_layout_infer \
--image_dir=./docs/table/1.png \
- --output=../output \
+ --json=../json \
--table=false \
--ocr=false
```
@@ -65,7 +65,7 @@ python3 predict_system.py --det_model_dir=inference/ch_PP-OCRv3_det_infer \
--image_dir=./docs/table/table.jpg \
--rec_char_dict_path=../ppocr/utils/ppocr_keys_v1.txt \
--table_char_dict_path=../ppocr/utils/dict/table_structure_dict_ch.txt \
- --output=../output \
+ --json=../json \
--vis_font_path=../doc/fonts/simfang.ttf \
--layout=false
```
diff --git a/ppstructure/docs/quickstart.md b/ppstructure/docs/quickstart.md
index 2a44b2b..b2a91e8 100644
--- a/ppstructure/docs/quickstart.md
+++ b/ppstructure/docs/quickstart.md
@@ -140,7 +140,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True, image_orientation=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -169,7 +169,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -198,7 +198,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(table=False, ocr=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -216,7 +216,7 @@ from paddleocr import PPStructure,save_structure_res
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
result = ocr_engine(img_path)
for index, res in enumerate(result):
@@ -238,7 +238,7 @@ from PIL import Image
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
fitz = try_import("fitz")
@@ -276,7 +276,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(layout=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/table.jpg'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -307,7 +307,7 @@ table_engine = PPStructure(recovery=True)
# 英文测试图
# table_engine = PPStructure(recovery=True, lang='en')
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
diff --git a/ppstructure/docs/quickstart_en.md b/ppstructure/docs/quickstart_en.md
index a0342f6..70ded32 100644
--- a/ppstructure/docs/quickstart_en.md
+++ b/ppstructure/docs/quickstart_en.md
@@ -123,7 +123,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True, image_orientation=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -152,7 +152,7 @@ from paddleocr import PPStructure,draw_structure_result,save_structure_res
table_engine = PPStructure(show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -181,7 +181,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(table=False, ocr=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -199,7 +199,7 @@ from paddleocr import PPStructure,save_structure_res
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
result = ocr_engine(img_path)
for index, res in enumerate(result):
@@ -221,7 +221,7 @@ from PIL import Image
ocr_engine = PPStructure(table=False, ocr=True, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/recovery/UnrealText.pdf'
fitz = try_import("fitz")
@@ -258,7 +258,7 @@ from paddleocr import PPStructure,save_structure_res
table_engine = PPStructure(layout=False, show_log=True)
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/table.jpg'
img = cv2.imread(img_path)
result = table_engine(img)
@@ -288,7 +288,7 @@ table_engine = PPStructure(recovery=True)
# English image
# table_engine = PPStructure(recovery=True, lang='en')
-save_folder = './output'
+save_folder = './json'
img_path = 'ppstructure/docs/table/1.png'
img = cv2.imread(img_path)
result = table_engine(img)
diff --git a/ppstructure/kie/tools/eval_with_label_end2end.py b/ppstructure/kie/tools/eval_with_label_end2end.py
index 749d5f8..0fa62bc 100644
--- a/ppstructure/kie/tools/eval_with_label_end2end.py
+++ b/ppstructure/kie/tools/eval_with_label_end2end.py
@@ -99,7 +99,7 @@ def ed(args, str1, str2):
def convert_bbox_to_polygon(bbox):
"""
bbox : [x1, y1, x2, y2]
- output: [[x1, y1], [x2, y2], [x3, y3], [x4, y4]]
+ json: [[x1, y1], [x2, y2], [x3, y3], [x4, y4]]
"""
xmin, ymin, xmax, ymax = bbox
poly = [[xmin, ymin], [xmax, ymin], [xmax, ymax], [xmin, ymax]]
diff --git a/ppstructure/layout/README.md b/ppstructure/layout/README.md
index 6830f8e..596147f 100644
--- a/ppstructure/layout/README.md
+++ b/ppstructure/layout/README.md
@@ -277,7 +277,7 @@ python3 tools/train.py \
# GPU evaluation, weights as weights to be measured
python3 tools/eval.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=./output/picodet_lcnet_x1_0_layout/best_model
+ -o weights=./json/picodet_lcnet_x1_0_layout/best_model
```
The following information will be printed out, such as mAP, AP0.5, etc.
@@ -322,7 +322,7 @@ With trained PaddleDetection model, you can use the following commands to make
```bash
python3 tools/infer.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights='output/picodet_lcnet_x1_0_layout/best_model.pdparams' \
+ -o weights='json/picodet_lcnet_x1_0_layout/best_model.pdparams' \
--infer_img='docs/images/layout.jpg' \
--output_dir=output_dir/ \
--draw_threshold=0.5
@@ -361,7 +361,7 @@ Layout analysis model to inference model steps are as follows：
```bash
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=output/picodet_lcnet_x1_0_layout/best_model \
+ -o weights=json/picodet_lcnet_x1_0_layout/best_model \
--output_dir=output_inference/
```
@@ -383,7 +383,7 @@ If you change the `weights` model path using the provided pre-training model to
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights=./output/picodet_lcnet_x2_5_layout/best_model \
+ -o weights=./json/picodet_lcnet_x2_5_layout/best_model \
--output_dir=output_inference/
```
diff --git a/ppstructure/layout/README_ch.md b/ppstructure/layout/README_ch.md
index adef46d..d9e46f9 100644
--- a/ppstructure/layout/README_ch.md
+++ b/ppstructure/layout/README_ch.md
@@ -278,7 +278,7 @@ python3 tools/train.py \
# GPU 评估， weights 为待测权重
python3 tools/eval.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=./output/picodet_lcnet_x1_0_layout/best_model
+ -o weights=./json/picodet_lcnet_x1_0_layout/best_model
```
会输出以下信息，打印出mAP、AP0.5等信息。
@@ -323,7 +323,7 @@ python3 tools/eval.py \
```bash
python3 tools/infer.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights='output/picodet_lcnet_x1_0_layout/best_model.pdparams' \
+ -o weights='json/picodet_lcnet_x1_0_layout/best_model.pdparams' \
--infer_img='docs/images/layout.jpg' \
--output_dir=output_dir/ \
--draw_threshold=0.5
@@ -358,7 +358,7 @@ inference 模型（`paddle.jit.save`保存的模型） 一般是模型训练，
```bash
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
- -o weights=output/picodet_lcnet_x1_0_layout/best_model \
+ -o weights=json/picodet_lcnet_x1_0_layout/best_model \
--output_dir=output_inference/
```
@@ -380,7 +380,7 @@ output_inference/picodet_lcnet_x1_0_layout/
python3 tools/export_model.py \
-c configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x1_0_layout.yml \
--slim_config configs/picodet/legacy_model/application/layout_analysis/picodet_lcnet_x2_5_layout.yml \
- -o weights=./output/picodet_lcnet_x2_5_layout/best_model \
+ -o weights=./json/picodet_lcnet_x2_5_layout/best_model \
--output_dir=output_inference/
```
diff --git a/ppstructure/pdf2word/pdf2word.py b/ppstructure/pdf2word/pdf2word.py
index d19c58d..5c66dc7 100644
--- a/ppstructure/pdf2word/pdf2word.py
+++ b/ppstructure/pdf2word/pdf2word.py
@@ -172,7 +172,7 @@ class Worker(QThread):
for index, img in enumerate(imgs):
res, time_dict = self.predictors[self.lang](img)
- # save output
+ # save json
save_structure_res(res, self.outputDir, img_name)
# draw_img = draw_structure_result(Crop_img, res, self.vis_font_path)
# img_save_path = os.path.join(self.outputDir, img_name, 'show_{}.jpg'.format(index))
@@ -397,7 +397,7 @@ class APP_Image2Doc(QWidget):
args.table_model_dir = os.path.join(
root, "inference", "en_ppstructure_mobile_v2.0_SLANet_infer"
)
- args.output = os.path.join(root, "output") # 结果保存路径
+ args.output = os.path.join(root, "json") # 结果保存路径
args.layout_model_dir = os.path.join(
root, "inference", "picodet_lcnet_x1_0_fgd_layout_infer"
)
@@ -412,7 +412,7 @@ class APP_Image2Doc(QWidget):
args.table_model_dir = os.path.join(
root, "inference", "cn_ppstructure_mobile_v2.0_SLANet_infer"
)
- args.output = os.path.join(root, "output") # 结果保存路径
+ args.output = os.path.join(root, "json") # 结果保存路径
args.layout_model_dir = os.path.join(
root, "inference", "picodet_lcnet_x1_0_fgd_layout_cdla_infer"
)
@@ -463,7 +463,7 @@ class APP_Image2Doc(QWidget):
elif len(self.imagePaths) > 0: # for image file selection
# Must set image path list and language before start
self.output_dir = os.path.join(
- os.path.dirname(self.imagePaths[0]), "output"
+ os.path.dirname(self.imagePaths[0]), "json"
) # output_dir shold be same as imagepath
self._thread.setOutputDir(self.output_dir)
self._thread.setImagePath(self.imagePaths)
diff --git a/ppstructure/recovery/README.md b/ppstructure/recovery/README.md
index 6fa6e6c..a096fc6 100644
--- a/ppstructure/recovery/README.md
+++ b/ppstructure/recovery/README.md
@@ -120,7 +120,7 @@ python3 predict_system.py \
--image_dir=ppstructure/docs/recovery/UnrealText.pdf \
--recovery=True \
--use_pdf2docx_api=True \
- --output=../output/
+ --json=../json/
```