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import { numbers, identifiers, operators, groupings, accents } from "./lexicon";
function tag(tagname) {
return function fn(content, attr) {
Iif (typeof content === "object") {
// Curry
return str => fn(str, content);
}
if (typeof attr !== "object") {
return `<${tagname}>${content}</${tagname}>`;
}
const attrstr = Object.keys(attr)
.map(key => `${key}="${attr[key]}"`)
.join(" ");
return `<${tagname} ${attrstr}>${content}</${tagname}>`;
};
}
const mi = tag("mi");
const mn = tag("mn");
const mo = tag("mo");
const mfrac = tag("mfrac");
const msup = tag("msup");
const msub = tag("msub");
const msubsup = tag("msubsup");
const munder = tag("munder");
const mover = tag("mover");
const munderover = tag("munderover");
const menclose = tag("menclose");
const mrow = tag("mrow");
const msqrt = tag("msqrt");
const mroot = tag("mroot");
const mfenced = tag("mfenced");
const mtable = tag("mtable");
const mtr = tag("mtr");
const mtd = tag("mtd");
function parser(options) {
const decimalMarkRE =
options.decimalMark === "." ? "\\." : options.decimalMark;
const numberRegexp = new RegExp(
`^${numbers.digitRange}+(${decimalMarkRE}${numbers.digitRange}+)?`
);
const colsplit = splitby(options.colSep);
const rowsplit = splitby(options.rowSep);
const newlinesplit = splitby("\n");
function splitby(sep) {
return str => {
const split = [];
let inners = 0;
let index = 0;
for (let i = 0; i < str.length; i += 1) {
const rest = str.slice(i);
const char = str[i];
if (rest.startsWith(sep) && !str.slice(0, i).match(/\\(\\{2})*$/)) {
if (inners === 0) {
split.push(str.slice(index, i));
index = i + sep.length;
}
} else if (char.match(groupings.open.regexp)) {
inners += 1;
} else if (char.match(groupings.close.regexp)) {
inners -= 1;
}
}
split.push(str.slice(index));
return split;
};
}
const parse = function parse(ascii, mathml, space, grouped) {
if (!ascii) {
return mathml;
}
if (ascii.match(/^\s/)) {
// Dont include the space it if there is a binary infix becoming
// a prefix
Iif (ascii.match(/^\s+(\/[^/]|^[^^]|_[^_|])/)) {
return parse(ascii.trim(), mathml, true);
}
// Count the number of leading spaces
const spaces = ascii.match(/^ +/);
const spacecount = spaces ? spaces[0].length : 0;
if (spacecount > 1) {
// spacewidth is a linear function of spacecount
const spaceel = `<mspace width="${spacecount - 1}ex" />`;
return parse(ascii.trim(), mathml + spaceel, true);
}
return parse(ascii.trim(), mathml, true);
}
let [el, rest] = parseone(ascii, grouped);
// ## Binary infixes ##
// ### Fraction ###
if (
((rest && rest.trimLeft().startsWith("/")) ||
rest.trimLeft().startsWith("./")) &&
!rest.trimLeft().match(/^\.?\/\//)
) {
[el, rest] = splitNextFraction(el, rest);
}
return parse(rest, mathml + el, false);
};
function parsegroup(ascii) {
// Takes one asciiMath string and returns mathml in one group
if (ascii.trim().length === 0) {
return "";
}
const mathml = parse(ascii, "", false, true);
return mathml === getlastel(mathml) ? mathml : mrow(mathml);
}
function parseone(ascii, grouped, lastel) {
/**
Return a split of the first element parsed to MathML and the rest
of the string unparsed.
*/
// TODO: split this up into smaller more readable code
if (!ascii) {
return ["", ""];
}
let el;
let rest;
const head = ascii[0];
const tail = ascii.slice(1);
const nextsymbol = head + (tail.match(/^[A-Za-z]+/) || "");
if (ascii.startsWith("sqrt")) {
// ## Roots ##
const split = parseone(ascii.slice(4).trim(), grouped);
el = msqrt(split[0] ? removeSurroundingBrackets(split[0]) : mrow(""));
[, rest] = split;
} else if (ascii.startsWith("root")) {
const one = parseone(ascii.slice(4).trimLeft(), grouped);
const index = one[0] ? removeSurroundingBrackets(one[0]) : mrow("");
const two = parseone(one[1].trimLeft(), grouped);
const base = two[0] ? removeSurroundingBrackets(two[0]) : mrow("");
el = mroot(base + index);
[, rest] = two;
} else if (ascii.startsWith("binom")) {
const [, , group, , after] = syntax.splitNextGroup(ascii);
const [a, b] = colsplit(group);
const over = parsegroup(a.trim()) || mrow("");
const under = parsegroup(b.trim()) || mrow("");
el = mfenced(mfrac(over + under, { linethickness: 0 }), {
open: "(",
close: ")"
});
rest = after;
} else if (head === "\\" && ascii.length > 1) {
// ## Forced opperator ##
if (ascii[1].match(/[([]/)) {
const stop = findmatching(tail);
el = mo(ascii.slice(2, stop));
rest = ascii.slice(stop + 1);
} else {
el = mo(ascii[1]);
rest = ascii.slice(2);
}
} else if (accents.contains(nextsymbol)) {
// ## Accents ##
const accent = accents.get(nextsymbol);
const next = ascii.slice(nextsymbol.length).trimLeft();
const ijmatch = next.match(/^\s*\(?([ij])\)?/);
const split = parseone(next);
switch (accent.type) {
// ## Accents on top ##
case "over":
if (ijmatch) {
// use non-dotted i and j glyphs as to not clutter
el = mover(
mi(ijmatch[1] === "i" ? "ı" : "ȷ") +
mo(accent.accent, { accent: true })
);
rest = next.slice(ijmatch[0].length);
} else {
el = mover(
removeSurroundingBrackets(split[0]) +
mo(accent.accent, { accent: true })
);
[, rest] = split;
}
break;
// ## Accents below ##
case "under":
el = munder(removeSurroundingBrackets(split[0]) + mo(accent.accent));
[, rest] = split;
break;
// ## Enclosings
case "enclose":
el = menclose(removeSurroundingBrackets(split[0]), accent.attrs);
[, rest] = split;
break;
default:
throw new Error(`Invalid config for accent ${nextsymbol}`);
}
} else if (syntax.isfontCommand(ascii)) {
// ## Font Commands ##
const split = syntax.splitfont(ascii);
el = tag(split.tagname)(
split.text,
split.font && { mathvariant: split.font }
);
rest = split.rest;
} else if (groupings.complex.contains(nextsymbol)) {
// ## Complex groupings ##
const grouping = groupings.complex.get(nextsymbol);
const next = ascii.slice(nextsymbol.length).trimLeft();
const split = parseone(next);
el = mfenced(removeSurroundingBrackets(split[0]), grouping);
[, rest] = split;
} else if (syntax.isgroupStart(ascii) || syntax.isvertGroupStart(ascii)) {
// ## Groupings ##
// eslint-disable-next-line prefer-const
let [, open, group, close, after] = syntax.isgroupStart(ascii)
? syntax.splitNextGroup(ascii)
: syntax.splitNextVert(ascii);
rest = groupings.open.get(after);
const rows = (() => {
const lines = newlinesplit(group);
return lines.length > 1 ? lines : rowsplit(group);
})();
if (
syntax.ismatrixInterior(group.trim(), options.colSep, options.rowSep)
) {
// ### Matrix ##
if (group.trim().endsWith(options.colSep)) {
// trailing row break
group = group.trimRight().slice(0, -1);
}
const cases = open === "{" && close === "";
const table = parsetable(
group,
cases && { columnalign: "center left" }
);
el = mfenced(table, { open, close });
} else if (rows.length > 1) {
// ### Column vector ###
let vector = rows.map(colsplit);
if (last(vector).length === 1 && last(vector)[0].match(/^\s*$/)) {
// A trailing rowbreak
vector = vector.slice(0, -1);
}
const matrix = vector
.map(row => mtr(row.map(x => mtd(parsegroup(x))).join("")))
.join("");
el = mfenced(mtable(matrix), { open, close });
} else {
// ### A fenced group ###
const cols = colsplit(group);
const els = cols.map(parsegroup).join("");
const attrs = { open, close };
if (options.colSep !== ",") {
attrs.separators = options.colSep;
}
el = mfenced(els, attrs);
}
} else if (!grouped && syntax.isgroupable(ascii, options)) {
// ## Whitespace ##
// treat whitespace separated subexpressions as a group
const split = splitNextWhitespace(ascii);
el = parsegroup(split[0]);
[, rest] = split;
} else if (numbers.isdigit(head)) {
// ## Number ##
const number = ascii.match(numberRegexp)[0];
el = mn(number);
rest = tail.slice(number.length - 1);
} else if (ascii.match(/^#`[^`]+`/)) {
// ## Forced number ##
const number = ascii.match(/^#`([^`]+)`/)[1];
el = mn(number);
rest = ascii.slice(number.length + 3);
} else if (
ascii.match(new RegExp(`^${operators.regexp.source}`)) &&
!identifiers.contains(nextsymbol)
) {
// ## Operators ##
const [op, next] = syntax.splitNextOperator(ascii);
const derivative = ascii.startsWith("'");
const prefix = contains(["∂", "∇"], op);
const stretchy = contains(["|"], op);
const mid = ascii.startsWith("| ");
const attr = {};
if (derivative) {
attr.lspace = 0;
attr.rspace = 0;
}
if (prefix) {
attr.rspace = 0;
}
if (stretchy) {
attr.stretchy = true;
}
if (mid) {
attr.lspace = "veryverythickmathspace";
attr.rspace = "veryverythickmathspace";
}
el = mo(op, !isempty(attr) && attr);
rest = next;
} else if (identifiers.contains(nextsymbol)) {
// Perhaps a special identifier character
const ident = identifiers[nextsymbol];
// Uppercase greeks are roman font variant
const uppercase = ident.match(
/[\u0391-\u03A9\u2100-\u214F\u2200-\u22FF]/
);
el = uppercase ? mi(ident, { mathvariant: "normal" }) : mi(ident);
rest = tail.slice(nextsymbol.length - 1);
} else if (head === "O" && tail[0] === "/") {
// The special case of the empty set. I suppose there is no
// dividing by the latin capital letter O
el = mi(identifiers["O/"], { mathvariant: "normal" });
rest = tail.slice(1);
} else {
el = mi(head);
rest = tail;
}
if (rest && rest.trimLeft().match(/\.?[\^_]/)) {
if (
(lastel ? !lastel.match(/m(sup|over)/) : true) &&
rest.trim().startsWith("_") &&
(rest.trim().length <= 1 || !rest.trim()[1].match(/[|_]/))
) {
// ### Subscript ###
[el, rest] = splitNextSubscript(el, rest);
} else if (
lastel !== "mover" &&
rest.trim().startsWith("._") &&
(rest.trim().length <= 2 || !rest.trim()[2].match(/[|_]/))
) {
// ### Underscript ###
[el, rest] = splitNextUnderscript(el, rest);
} else if (
(lastel ? !lastel.match(/m(sub|under)/) : true) &&
rest.trim().startsWith("^") &&
(rest.trim().length <= 1 || rest.trim()[1] !== "^")
) {
// ### Superscript ###
[el, rest] = splitNextSuperscript(el, rest);
} else if (
lastel !== "munder" &&
rest.trim().startsWith(".^") &&
(rest.trim().length <= 2 || rest.trim()[2] !== "^")
) {
// ### Overscript ###
[el, rest] = splitNextOverscript(el, rest);
}
}
return [el, rest];
}
function splitNextSubscript(el, rest) {
const next = parseone(
rest
.trim()
.slice(1)
.trim(),
true,
"msub"
);
const sub = next[0] ? removeSurroundingBrackets(next[0]) : mrow("");
let ml;
let ascii = next[1];
// ### Supersubscript ###
if (
ascii &&
ascii.trim().startsWith("^") &&
(ascii.trim().length <= 1 || !ascii.trim()[1] !== "^")
) {
const next2 = parseone(
ascii
.trim()
.slice(1)
.trim(),
true
);
const sup = next2[0] ? removeSurroundingBrackets(next2[0]) : mrow("");
const tagfun = syntax.shouldGoUnder(el) ? munderover : msubsup;
ml = tagfun(el + sub + sup);
[, ascii] = next2;
} else {
const tagfun = syntax.shouldGoUnder(el) ? munder : msub;
ml = tagfun(el + sub);
}
return [ml, ascii];
}
function splitNextSuperscript(el, rest) {
const next = parseone(
rest
.trim()
.slice(1)
.trim(),
true,
"msup"
);
const sup = next[0] ? removeSurroundingBrackets(next[0]) : mrow("");
let ml;
let ascii = next[1];
// ### Super- subscript ###
if (
ascii.trim().startsWith("_") &&
(ascii.trim().length <= 1 || !ascii.trim()[1].match(/[|_]/))
) {
const next2 = parseone(
ascii
.trim()
.slice(1)
.trim(),
true
);
const sub = next2[0] ? removeSurroundingBrackets(next2[0]) : mrow("");
const tagfun = syntax.shouldGoUnder(el) ? munderover : msubsup;
ml = tagfun(el + sub + sup);
[, ascii] = next2;
} else {
const tagfun = syntax.shouldGoUnder(el) ? mover : msup;
ml = tagfun(el + sup);
}
return [ml, ascii];
}
function splitNextUnderscript(el, rest) {
const next = parseone(
rest
.trim()
.slice(2)
.trim(),
true,
"munder"
);
const under = next[0] ? removeSurroundingBrackets(next[0]) : mrow("");
let ml;
let ascii = next[1];
// ### Under- overscript ###
const overmatch = ascii.match(/^(\.?\^)[^^]/);
Iif (overmatch) {
const next2 = parseone(
ascii
.trim()
.slice(overmatch[1].length)
.trim(),
true
);
const over = next2[0] ? removeSurroundingBrackets(next2[0]) : mrow("");
ml = munderover(el + under + over);
[, ascii] = next2;
} else {
ml = munder(el + under);
}
return [ml, ascii];
}
function splitNextOverscript(el, rest) {
const next = parseone(
rest
.trim()
.slice(2)
.trim(),
true,
"mover"
);
const over = next[0] ? removeSurroundingBrackets(next[0]) : mrow("");
let ml;
let ascii = next[1];
// ### Under- overscript ###
const undermatch = ascii.match(/^(\.?_)[^_|]/);
if (undermatch) {
const next2 = parseone(
ascii
.trim()
.slice(undermatch[1].length)
.trim(),
true
);
const under = next2[0] ? removeSurroundingBrackets(next2[0]) : mrow("");
ml = munderover(el + under + over);
[, ascii] = next2;
} else {
ml = mover(el + over);
}
return [ml, ascii];
}
function splitNextFraction(el, rest) {
const bevelled = rest.trim().startsWith("./");
const rem = rest.trim().slice(bevelled ? 2 : 1);
let next;
let ascii;
if (rem.startsWith(" ")) {
const split = rem.trim().split(" ");
next = parsegroup(split[0]);
ascii = rem.trimLeft().slice(split[0].length + 1);
} else {
[next, ascii] = parseone(rem);
}
next = next || mrow("");
const ml = mfrac(
removeSurroundingBrackets(el) + removeSurroundingBrackets(next),
bevelled && { bevelled: true }
);
if (
(ascii && ascii.trim().startsWith("/")) ||
ascii.trim().startsWith("./")
) {
return splitNextFraction(ml, ascii);
}
return [ml, ascii];
}
function splitNextWhitespace(str) {
const re = new RegExp(`(\\s|${options.colSep}|${options.rowSep}|$)`);
const match = str.match(re);
const head = str.slice(0, match.index);
const sep = match[0];
const tail = str.slice(match.index + 1);
let next = head;
let rest = sep + tail;
if (!syntax.isgroupStart(tail.trim()) && syntax.endsInFunc(head)) {
const newsplit = splitNextWhitespace(tail);
next += sep + newsplit[0];
[, rest] = newsplit;
} else Iif (head.match(/root$/)) {
const split1 = splitNextWhitespace(tail);
const split2 = splitNextWhitespace(split1[1].trimLeft());
next += `${sep + split1[0]} ${split2[0]}`;
rest = sep + split2[1];
}
return [next, rest];
}
function parsetable(matrix, attrs) {
const rows = (() => {
const lines = colsplit(matrix);
return lines.length > 1 ? lines : newlinesplit(matrix);
})().map(el => el.trim().slice(1, -1));
return mtable(rows.map(row => parserow(row)).join(""), attrs);
}
function parserow(row, acc = "") {
if (!row || row.length === 0) {
return mtr(acc);
}
const [mathml, rest] = parsecell(row.trim(), "");
return parserow(rest.trim(), acc + mathml);
}
function parsecell(cell, acc) {
if (!cell || cell.length === 0) {
return [mtd(acc), ""];
}
if (cell[0] === options.colSep) {
return [mtd(acc), cell.slice(1).trim()];
}
const [mathml, rest] = parseone(cell);
return parsecell(rest.trim(), acc + mathml);
}
return parse;
}
function splitlast(mathml) {
/**
Return a pair of all but last eliment and the last eliment
*/
const lastel = getlastel(mathml);
const prewels = mathml.slice(0, mathml.lastIndexOf(lastel));
return [prewels, lastel];
}
function removeSurroundingBrackets(mathml) {
const inside = mathml
.replace(/^<mfenced[^>]*>/, "")
.replace(/<\/mfenced>$/, "");
Eif (splitlast(inside)[1] === inside) {
return inside;
}
return mrow(inside);
}
function getlastel(xmlstr) {
// This breaks the linearity of the implimentation
// optimation possible, perhaps an XML parser
const tagmatch = xmlstr.match(/<\/(m[a-z]+)>$/);
if (!tagmatch) {
const spacematch = xmlstr.match(/<mspace\s*([a-z]+="[a-z]")*\s*\?>/);
Iif (spacematch) {
const i = spacematch.match[0].length;
return xmlstr.slice(i);
}
return "";
}
const tagname = tagmatch[1];
let i = xmlstr.length - (tagname.length + 3);
let inners = 0;
for (i; i >= 0; i -= 1) {
if (xmlstr.slice(i).startsWith(`<${tagname}`)) {
if (inners === 0) {
break;
}
inners -= 1;
}
if (xmlstr.slice(i - 2).startsWith(`</${tagname}`)) {
inners += 1;
}
}
return xmlstr.slice(i);
}
function findmatching(str) {
const open = str[0];
let close = open;
if (open === "(") {
close = ")";
} else Eif (open === "[") {
close = "]";
}
let inners = 0;
let index = 0;
for (let i = 0; i < str.length; i += 1) {
const char = str[i];
index += 1;
if (char === close) {
inners -= 1;
if (inners === 0) {
break;
}
} else if (char === open) {
inners += 1;
}
}
return index;
}
function isempty(obj) {
return Object.keys(obj).length === 0;
}
function contains(arr, el) {
return arr.indexOf(el) >= 0;
}
function last(arr) {
return arr.slice(-1)[0];
}
parser.getlastel = getlastel;
export default parser;
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