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JavaScript

// @flow
import buildCommon from "../buildCommon";
import defineFunction from "../defineFunction";
import delimiter from "../delimiter";
import mathMLTree from "../mathMLTree";
import ParseError from "../ParseError";
import utils from "../utils";
import {assertNodeType, checkSymbolNodeType} from "../parseNode";
import {makeEm} from "../units";
import * as html from "../buildHTML";
import * as mml from "../buildMathML";
import type Options from "../Options";
import type {AnyParseNode, ParseNode, SymbolParseNode} from "../parseNode";
import type {FunctionContext} from "../defineFunction";
// Extra data needed for the delimiter handler down below
const delimiterSizes = {
"\\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},
};
const delimiters = [
"(", "\\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",
".",
];
type IsMiddle = {delim: string, options: Options};
// Delimiter functions
function checkDelimiter(
delim: AnyParseNode,
context: FunctionContext,
): SymbolParseNode {
const symDelim = checkSymbolNodeType(delim);
if (symDelim && utils.contains(delimiters, symDelim.text)) {
return symDelim;
} else if (symDelim) {
throw new ParseError(
`Invalid delimiter '${symDelim.text}' after '${context.funcName}'`,
delim);
} else {
throw new ParseError(`Invalid delimiter type '${delim.type}'`, delim);
}
}
defineFunction({
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: (context, args) => {
const delim = checkDelimiter(args[0], context);
return {
type: "delimsizing",
mode: context.parser.mode,
size: delimiterSizes[context.funcName].size,
mclass: delimiterSizes[context.funcName].mclass,
delim: delim.text,
};
},
htmlBuilder: (group, options) => {
if (group.delim === ".") {
// Empty delimiters still count as elements, even though they don't
// show anything.
return buildCommon.makeSpan([group.mclass]);
}
// Use delimiter.sizedDelim to generate the delimiter.
return delimiter.sizedDelim(
group.delim, group.size, options, group.mode, [group.mclass]);
},
mathmlBuilder: (group) => {
const children = [];
if (group.delim !== ".") {
children.push(mml.makeText(group.delim, group.mode));
}
const node = new mathMLTree.MathNode("mo", children);
if (group.mclass === "mopen" ||
group.mclass === "mclose") {
// Only some of the delimsizing functions act as fences, and they
// return "mopen" or "mclose" mclass.
node.setAttribute("fence", "true");
} else {
// Explicitly disable fencing if it's not a fence, to override the
// defaults.
node.setAttribute("fence", "false");
}
node.setAttribute("stretchy", "true");
const size = makeEm(delimiter.sizeToMaxHeight[group.size]);
node.setAttribute("minsize", size);
node.setAttribute("maxsize", size);
return node;
},
});
function assertParsed(group: ParseNode<"leftright">) {
if (!group.body) {
throw new Error("Bug: The leftright ParseNode wasn't fully parsed.");
}
}
defineFunction({
type: "leftright-right",
names: ["\\right"],
props: {
numArgs: 1,
primitive: true,
},
handler: (context, args) => {
// \left case below triggers parsing of \right in
// `const right = parser.parseFunction();`
// uses this return value.
const color = context.parser.gullet.macros.get("\\current@color");
if (color && typeof color !== "string") {
throw new ParseError(
"\\current@color set to non-string in \\right");
}
return {
type: "leftright-right",
mode: context.parser.mode,
delim: checkDelimiter(args[0], context).text,
color, // undefined if not set via \color
};
},
});
defineFunction({
type: "leftright",
names: ["\\left"],
props: {
numArgs: 1,
primitive: true,
},
handler: (context, args) => {
const delim = checkDelimiter(args[0], context);
const parser = context.parser;
// Parse out the implicit body
++parser.leftrightDepth;
// parseExpression stops before '\\right'
const body = parser.parseExpression(false);
--parser.leftrightDepth;
// Check the next token
parser.expect("\\right", false);
const right = assertNodeType(parser.parseFunction(), "leftright-right");
return {
type: "leftright",
mode: parser.mode,
body,
left: delim.text,
right: right.delim,
rightColor: right.color,
};
},
htmlBuilder: (group, options) => {
assertParsed(group);
// Build the inner expression
const inner = html.buildExpression(group.body, options, true,
["mopen", "mclose"]);
let innerHeight = 0;
let innerDepth = 0;
let hadMiddle = false;
// Calculate its height and depth
for (let i = 0; i < inner.length; i++) {
// Property `isMiddle` not defined on `span`. See comment in
// "middle"'s htmlBuilder.
// $FlowFixMe
if (inner[i].isMiddle) {
hadMiddle = true;
} else {
innerHeight = Math.max(inner[i].height, innerHeight);
innerDepth = Math.max(inner[i].depth, innerDepth);
}
}
// The size of delimiters is the same, regardless of what style we are
// in. Thus, to correctly calculate the size of delimiter we need around
// a group, we scale down the inner size based on the size.
innerHeight *= options.sizeMultiplier;
innerDepth *= options.sizeMultiplier;
let leftDelim;
if (group.left === ".") {
// Empty delimiters in \left and \right make null delimiter spaces.
leftDelim = html.makeNullDelimiter(options, ["mopen"]);
} else {
// Otherwise, use leftRightDelim to generate the correct sized
// delimiter.
leftDelim = delimiter.leftRightDelim(
group.left, innerHeight, innerDepth, options,
group.mode, ["mopen"]);
}
// Add it to the beginning of the expression
inner.unshift(leftDelim);
// Handle middle delimiters
if (hadMiddle) {
for (let i = 1; i < inner.length; i++) {
const middleDelim = inner[i];
// Property `isMiddle` not defined on `span`. See comment in
// "middle"'s htmlBuilder.
// $FlowFixMe
const isMiddle: IsMiddle = middleDelim.isMiddle;
if (isMiddle) {
// Apply the options that were active when \middle was called
inner[i] = delimiter.leftRightDelim(
isMiddle.delim, innerHeight, innerDepth,
isMiddle.options, group.mode, []);
}
}
}
let rightDelim;
// Same for the right delimiter, but using color specified by \color
if (group.right === ".") {
rightDelim = html.makeNullDelimiter(options, ["mclose"]);
} else {
const colorOptions = group.rightColor ?
options.withColor(group.rightColor) : options;
rightDelim = delimiter.leftRightDelim(
group.right, innerHeight, innerDepth, colorOptions,
group.mode, ["mclose"]);
}
// Add it to the end of the expression.
inner.push(rightDelim);
return buildCommon.makeSpan(["minner"], inner, options);
},
mathmlBuilder: (group, options) => {
assertParsed(group);
const inner = mml.buildExpression(group.body, options);
if (group.left !== ".") {
const leftNode = new mathMLTree.MathNode(
"mo", [mml.makeText(group.left, group.mode)]);
leftNode.setAttribute("fence", "true");
inner.unshift(leftNode);
}
if (group.right !== ".") {
const rightNode = new mathMLTree.MathNode(
"mo", [mml.makeText(group.right, group.mode)]);
rightNode.setAttribute("fence", "true");
if (group.rightColor) {
rightNode.setAttribute("mathcolor", group.rightColor);
}
inner.push(rightNode);
}
return mml.makeRow(inner);
},
});
defineFunction({
type: "middle",
names: ["\\middle"],
props: {
numArgs: 1,
primitive: true,
},
handler: (context, args) => {
const delim = checkDelimiter(args[0], context);
if (!context.parser.leftrightDepth) {
throw new ParseError("\\middle without preceding \\left", delim);
}
return {
type: "middle",
mode: context.parser.mode,
delim: delim.text,
};
},
htmlBuilder: (group, options) => {
let middleDelim;
if (group.delim === ".") {
middleDelim = html.makeNullDelimiter(options, []);
} else {
middleDelim = delimiter.sizedDelim(
group.delim, 1, options,
group.mode, []);
const isMiddle: IsMiddle = {delim: group.delim, options};
// Property `isMiddle` not defined on `span`. It is only used in
// this file above.
// TODO: Fix this violation of the `span` type and possibly rename
// things since `isMiddle` sounds like a boolean, but is a struct.
// $FlowFixMe
middleDelim.isMiddle = isMiddle;
}
return middleDelim;
},
mathmlBuilder: (group, options) => {
// A Firefox \middle will stretch a character vertically only if it
// is in the fence part of the operator dictionary at:
// https://www.w3.org/TR/MathML3/appendixc.html.
// So we need to avoid U+2223 and use plain "|" instead.
const textNode = (group.delim === "\\vert" || group.delim === "|")
? mml.makeText("|", "text")
: mml.makeText(group.delim, group.mode);
const middleNode = new mathMLTree.MathNode("mo", [textNode]);
middleNode.setAttribute("fence", "true");
// MathML gives 5/18em spacing to each <mo> element.
// \middle should get delimiter spacing instead.
middleNode.setAttribute("lspace", "0.05em");
middleNode.setAttribute("rspace", "0.05em");
return middleNode;
},
});