rtensor_to_latex.js (0133bd2) - rtensor · DKL9 GitList

Develop many cases in LaTeX converter

dkl9 commited 0133bd2 at 2023-203 16:57:06

rtensor_to_latex.js

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"use strict";

import {AST} from "./maths_ast.js";
import {RTensorRender} from "./rtensor_to_html.js";

const LATEX_SYM = {
    "del": "\\nabla",
    "complexes": "\\mathbb{C}",
    "reals": "\\mathbb{R}",
    "rationals": "\\mathbb{Q}",
    "integers": "\\mathbb{Z}",
    "naturals": "\\mathbb{N}",
};
[
    "alpha", "beta", "gamma", "delta", "epsilon", "zeta", "eta", "theta",
    "iota", "kappa", "lambda", "mu", "nu", "xi", "omicron", "pi",
    "rho", "sigma", "tau", "upsilon", "phi", "chi", "psi", "omega",
].map(x => [x, x[0].toUpperCase() + x.slice(1)]).
    forEach(([x, y]) => (LATEX_SYM[x] = "\\" + x) + (LATEX_SYM[y] = "\\" + y));
[
    "sin", "cos", "tan", "csc", "sec", "cot", "arcsin", "arccos", "arctan",
    "exp", "ln", "log", "partial", "pm",
].forEach(x => (LATEX_SYM[x] = "\\" + x));

RTensorRender.toLaTeX = function() {
    const lp = "\\left(";
    const rp = "\\right)";
    switch (this.ts) {
        case 1:
            return this.v.split("_").map(s => LATEX_SYM[s] || s).join("_");
        case 2:
            return `${this.v}`;
        case 3:
            const l = this.l.toLaTeX();
            const r = this.r.toLaTeX();
            const pl = this.l.shouldParenMul() ? `${lp}${l}${rp}` : l;
            const pr = this.r.shouldParenMul() ? `${lp}${r}${rp}` : r;
            switch (this.m) {
                case 0:
                    if ((this.r.ts == 7 || this.r.ts == 8) && this.r.l.v == "pm") {
                        return `${l} ${r}`;
                    }
                    return `${l} + ${r}`;
                case 1:
                    return `${l} - ${r}`;
                case 2:
                    const dot = this.l.ts == 2 && this.r.ts == 2;
                    return `${pl}${dot ? " \\cdot " : ""}${pr}`;
                case 3:
                    return `\\frac{${l}}{${r}}`;
                case 4:
                    const spe = this.l.shouldParenExp();
                    return `${spe ? lp : ""}${l}${spe ? rp : ""}^{${r}}`;
                case 5:
                    return `\\log_{${l}}{${pr}}`;
                case 6:
                case 11:
                    return `${l} = ${r}`;
                case 7:
                    return `\\sqrt[${l}]{${r}}`;
                // TODO: comma operator is confusing
                case 8:
                    return `${l}, ${r}`;
                case 9:
                    return `${l} < ${r}`;
                case 10:
                    return `${l} \\mapsto ${r}`;
                default:
                    return `${pl} ? ${pr}`;
            }
            break;
        case 4:
            return this.l ? `${this.m.toLaTeX()} = ${this.r.toLaTeX()}` : this.m.toLaTeX();
        case 5:
            const m = this.m.toLaTeX();
            const pm = this.m.shouldParenMul() ? `${lp}${m}${rp}` : m;
            switch (this.l) {
                case 0:
                    return `+${pm}`;
                case 1:
                    return `-${pm}`;
                case 3:
                    return `\\frac{1}{${m}}`;
                case 4:
                    return `e^{${m}}`;
                case 5:
                    return `\\ln{${pm}}`;
                case 6:
                    return `${m} = 0`;
                case 7:
                    return `\\sqrt{${m}}`;
                case 9:
                    return `${m} < 0`;
                default:
                    return `? ${pm}`;
            }
        case 6:
            return `${this.l.toLaTeX()}[${this.m.toLaTeX()}]`;
        default:
            return "?";
    }
};

const thingy = {
   // fancy HTML version of the AST
    toHTML() {
        const lp = `<span class="big">(</span>`;
        const rp = `<span class="big">)</span>`;
        switch (this.ts) {
            case 1:
                // underscores indicate subscripts
                let sbu = this.v.replace(/'/g, ucFromNcr("prime")).
                    split("_").map(s => RTensorRender.unicodify(s)).
                    map(([s, b]) => {
                        const s2 = new String(s);
                        s2.greek = b;
                        return s2;
                    });
                const cgify = s => s.greek ? `<span class="greek">${s}</span>` : s;
                const it = sbu.length > 1 ?
                    `${cgify(sbu[0])}<sub>${sbu.slice(1).map(cgify).join("_")}</sub>`:
                    cgify(sbu[0]);
                const spacify = sbu[0].replace(new RegExp(ucFromNcr("prime"), "g"), "").length >= 2 ? ` class="spaced"` : ``;
                return (AST.BUILTIN_FUNCS[this.v] != null || EXTRA_BUILTINS.has(this.v)) ?
                    `<var class="builtin">${it}</var>` :
                    `<var${spacify}>${it}</var>`;
                break;
            case 2:
                return `${this.v}`;
            case 3:
                const l = this.l.toHTML();
                const r = this.r.toHTML();
                const pl = this.l.shouldParenMul() ? `${lp}${l}${rp}` : l;
                const pr = this.r.shouldParenMul() ? `${lp}${r}${rp}` : r;
                switch (this.m) {
                    case 0:
                        if ((this.r.ts == 7 || this.r.ts == 8) && this.r.l.v == "pm") {
                            return `${l} ${r}`;
                        }
                        return `${l} + ${r}`;
                    case 1:
                        return `${l} ${ucFromNcr("minus")} ${pr}`;
                    case 2:
                        const dot = this.l.ts == 2 && this.r.ts == 2;
                        return `${pl}${dot ? ` ${ucFromNcr("sdot")} ` : ""}${pr}`;
                    case 3:
                        return `<table class="frac">
                        <tr class="numer"><td>${l}</td></tr>
                        <tr class="denom"><td>${r}</td></tr>
                        </table>`;
                    case 4:
                        const spe = this.l.shouldParenExp();
                        return `${spe ? lp : ""}${l}${spe ? rp : ""}<sup>${r}</sup>`;
                    case 5:
                        return `log<sub>${l}</sub>${lp}${r}${rp}`;
                    case 6:
                    case 11:
                        return `${l} = ${r}`;
                    case 7:
                        return `<table class="rboth"><tr>
                        <td><sup><sup><sup class="rord">${l}</sup></sup></sup><span class="rcal">${ucFromNcr("radic")}</span></td>
                        <td><span class="rcand">${r}</span></td>
                        </tr></table>`;
                    // TODO: case 8 not handled, because comma operator is confusing
                    case 8:
                        return `${l}, ${r}`;
                    case 9:
                        return `${l} &lt; ${r}`;
                    case 10:
                        return `${l} &#8614; ${r}`;
                    default:
                        return `${this.l.toHTML()} ? ${this.r.toHTML()}`;
                }
                break;
            case 4:
                return this.l ? `${this.m.toHTML()} = ${this.r.toHTML()}` : this.m.toHTML();
            case 5:
                const m = this.m.toHTML();
                const pm = this.m.shouldParenMul() ? `${lp}${m}${rp}` : m;
                switch (this.l) {
                    case 0:
                        return `+${pm}`;
                    case 1:
                        return ucFromNcr("minus") + pm;
                    // case 2 not handled, because unary asterisk is not defined
                    case 3:
                        return `<table class="frac">
                        <tr class="numer"><td>1</td></tr>
                        <tr class="denom"><td>${m}</td></tr>
                        </table>`;
                    case 4:
                        return `<var>e</var><sup>${m}</sup>`;
                    case 5:
                        return `ln(${m})`;
                    case 6:
                        return `${m} = 0`;
                    case 7:
                        return `<table class="rboth"><tr>
                        <td><span class="rcal">${ucFromNcr("radic")}</span></td>
                        <td><span class="rcand">${m}</span></td>
                        </tr></table>`;
                    // likewise, no unary comma
                    case 9:
                        return `${m} &lt; 0`;
                    // likewise, no unary maplet
                    // likewise, no unary assignment
                    default:
                        return `? ${m}`;
                }
                break;
            case 6:
                return `${this.l.toHTML()}[${this.m.toHTML()}]`;
            case 7:
            case 8:
                const fa = this.m[0] ? this.m[0].toHTML() : "?";
                const sa = this.m[1] ? this.m[1].toHTML() : "?";
                const ta = this.m[2] ? this.m[2].toHTML() : "?";
                const al = this.m.map(x => x.toHTML());
                // special functions
                if (this.l.ts == 1) {
                    switch (this.l.v) {
                        case "abs":
                            return `|${fa}|`;
                        case "all":
                            return `${al.map(x => "(" + x + ")").join(` ${ucFromNcr("and")} `)}`;
                        case "any":
                            return `${al.map(x => "(" + x + ")").join(` ${ucFromNcr("or")} `)}`;
                        case "approx":
                            return `${fa} ${ucFromNcr("approx")} ${sa}`;
                        case "at":
                            return `${lp}${fa}${rp}<span class="ebar">|</span><table class="ebounds">
                            <tr><td>${this.m[2] ? ta : ""}</td></tr><tr><td>${sa}</td></tr>
                            </table>`;
                        case "brace":
                            return `<span class="big">{</span>${fa}<span class="big">}</span>`;
                        case "bracket":
                            return `<span class="big">[</span>${fa}<span class="big">]</span>`;
                        case "ceil":
                            return ucFromNcr("lceil") + fa + ucFromNcr("rceil");
                        case "cross":
                            return `${fa} ${ucFromNcr("Cross")} ${sa}`;
                        case "dot":
                            return `${fa} ${ucFromNcr("sdot")} ${sa}`;
                        case "fact":
                            const clp = this.m[0].shouldParenMul() ? lp : "";
                            const crp = this.m[0].shouldParenMul() ? rp : "";
                            return `${clp}${fa}${crp}!`;
                        case "filter":
                            return `{<var>x</var> ${ucFromNcr("in")} ${fa} | ${sa}(<var>x</var>)}`;
                        case "floor":
                            return ucFromNcr("lfloor") + fa + ucFromNcr("rfloor");
                        case "hat":
                            return `${fa}&#770;`;
                        case "if":
                            return `<span class="big">{</span><table class="pwf"><tr>
                            <td>${sa}</td>
                            <td class="cond">if ${fa}</td>
                            </tr><tr>
                            <td>${ta}</td>
                            <td class="cond">otherwise</td>
                            </tr></table>`;
                        case "in":
                            return `${fa} <span class="greek">${ucFromNcr("in")}</span> ${sa}`;
                        case "int":
                            return this.m[1] ?
                                `<span class="intsym">${ucFromNcr("int")}</span> <table class="intbs">
                                <tr class="intb"><td class="ub">${sa}</td></tr>
                                <tr class="intb"><td>${fa}</td></tr>
                                </table> ${ta}` :
                                `<span class="intsym">${ucFromNcr("int")}</span> ${fa}`;
                        case "intersection":
                            return `${fa} <span class="greek">${ucFromNcr("Intersection")}</span> ${sa}`;
                        case "lim":
                            return `<table class="limls">
                            <tr><td>${sa}</td></tr>
                            <tr><td>${true ? `<span class="big">${ucFromNcr("Lambda")}</span>` : "lim"}</td></tr>
                            <tr><td>${fa}</td></tr>
                            </table> ${ta}`;
                        case "map":
                            return `${fa} &#120499; ${sa}`;
                        case "matrix":
                            const rc = parseInt(this.m[0]?.v || "2") || 2;
                            const cc = parseInt(this.m[1]?.v || "2") || 2;
                            return `<table class="mat">
                                <tr><td>${(new Array(rc)).fill(0).map((_x, i) =>
                                this.m.slice(2 + i * cc, 2 + (i + 1) * cc).map(el => el.toHTML()).join("</td><td>")).
                                join("</td></tr>\n<tr><td>")}</td></tr>
                                </table>`;
                        case "paren":
                            return `${lp}${fa}${rp}`;
                        case "pm":
                            return `${ucFromNcr("plusmn")} ${this.m[0].shouldParenMul() ? lp + fa + rp : fa}`;
                        case "product":
                            return `<table class="sum">
                            <tr><td>${sa}</td></tr>
                            <tr><td><span class="big">${ucFromNcr("Product")}</span></td></tr>
                            <tr><td>${fa}</td></tr>
                            </table> ${ta}`;
                        case "sum":
                            return `<table class="sum">
                            <tr><td>${sa}</td></tr>
                            <tr><td><span class="big">${ucFromNcr("sum")}</span></td></tr>
                            <tr><td>${fa}</td></tr>
                            </table> ${ta}`;
                        case "union":
                            return `${fa} <span class="greek">${ucFromNcr("Union")}</span> ${sa}`;
                        case "vec":
                            // TODO: there's a better way (include notation in variable names)
                            const m = fa.match(/(.*)(\<sub\>.*\<\/sub\>)?(.*?)/);
                            //alert(`${m[1]} and ${m[2]} and ${m[3]}`);
                            return `${m[1]}&#8407;${m[2] || ""}${m[3] || ""}`;
                    }
                }
                // anything else
                return `${this.l.toHTML()}(${this.m.map(x => x.toHTML()).join(", ")})`;
            default:
                return "?";
        }
    },
};