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JavaScript

// @flow
/**
* This file does the main work of building a domTree structure from a parse
* tree. The entry point is the `buildHTML` function, which takes a parse tree.
* Then, the buildExpression, buildGroup, and various groupBuilders functions
* are called, to produce a final HTML tree.
*/
import ParseError from "./ParseError";
import Style from "./Style";
import buildCommon from "./buildCommon";
import {Span, Anchor} from "./domTree";
import utils from "./utils";
import {makeEm} from "./units";
import {spacings, tightSpacings} from "./spacingData";
import {_htmlGroupBuilders as groupBuilders} from "./defineFunction";
import {DocumentFragment} from "./tree";
import type Options from "./Options";
import type {AnyParseNode} from "./parseNode";
import type {HtmlDomNode, DomSpan} from "./domTree";
const makeSpan = buildCommon.makeSpan;
// Binary atoms (first class `mbin`) change into ordinary atoms (`mord`)
// depending on their surroundings. See TeXbook pg. 442-446, Rules 5 and 6,
// and the text before Rule 19.
const binLeftCanceller = ["leftmost", "mbin", "mopen", "mrel", "mop", "mpunct"];
const binRightCanceller = ["rightmost", "mrel", "mclose", "mpunct"];
const styleMap = {
"display": Style.DISPLAY,
"text": Style.TEXT,
"script": Style.SCRIPT,
"scriptscript": Style.SCRIPTSCRIPT,
};
type Side = "left" | "right";
const DomEnum = {
mord: "mord",
mop: "mop",
mbin: "mbin",
mrel: "mrel",
mopen: "mopen",
mclose: "mclose",
mpunct: "mpunct",
minner: "minner",
};
type DomType = $Keys<typeof DomEnum>;
/**
* Take a list of nodes, build them in order, and return a list of the built
* nodes. documentFragments are flattened into their contents, so the
* returned list contains no fragments. `isRealGroup` is true if `expression`
* is a real group (no atoms will be added on either side), as opposed to
* a partial group (e.g. one created by \color). `surrounding` is an array
* consisting type of nodes that will be added to the left and right.
*/
export const buildExpression = function(
expression: AnyParseNode[],
options: Options,
isRealGroup: boolean | "root",
surrounding: [?DomType, ?DomType] = [null, null],
): HtmlDomNode[] {
// Parse expressions into `groups`.
const groups: HtmlDomNode[] = [];
for (let i = 0; i < expression.length; i++) {
const output = buildGroup(expression[i], options);
if (output instanceof DocumentFragment) {
const children: $ReadOnlyArray<HtmlDomNode> = output.children;
groups.push(...children);
} else {
groups.push(output);
}
}
// Combine consecutive domTree.symbolNodes into a single symbolNode.
buildCommon.tryCombineChars(groups);
// If `expression` is a partial group, let the parent handle spacings
// to avoid processing groups multiple times.
if (!isRealGroup) {
return groups;
}
let glueOptions = options;
if (expression.length === 1) {
const node = expression[0];
if (node.type === "sizing") {
glueOptions = options.havingSize(node.size);
} else if (node.type === "styling") {
glueOptions = options.havingStyle(styleMap[node.style]);
}
}
// Dummy spans for determining spacings between surrounding atoms.
// If `expression` has no atoms on the left or right, class "leftmost"
// or "rightmost", respectively, is used to indicate it.
const dummyPrev = makeSpan([surrounding[0] || "leftmost"], [], options);
const dummyNext = makeSpan([surrounding[1] || "rightmost"], [], options);
// TODO: These code assumes that a node's math class is the first element
// of its `classes` array. A later cleanup should ensure this, for
// instance by changing the signature of `makeSpan`.
// Before determining what spaces to insert, perform bin cancellation.
// Binary operators change to ordinary symbols in some contexts.
const isRoot = (isRealGroup === "root");
traverseNonSpaceNodes(groups, (node, prev) => {
const prevType = prev.classes[0];
const type = node.classes[0];
if (prevType === "mbin" && utils.contains(binRightCanceller, type)) {
prev.classes[0] = "mord";
} else if (type === "mbin" && utils.contains(binLeftCanceller, prevType)) {
node.classes[0] = "mord";
}
}, {node: dummyPrev}, dummyNext, isRoot);
traverseNonSpaceNodes(groups, (node, prev) => {
const prevType = getTypeOfDomTree(prev);
const type = getTypeOfDomTree(node);
// 'mtight' indicates that the node is script or scriptscript style.
const space = prevType && type ? (node.hasClass("mtight")
? tightSpacings[prevType][type]
: spacings[prevType][type]) : null;
if (space) { // Insert glue (spacing) after the `prev`.
return buildCommon.makeGlue(space, glueOptions);
}
}, {node: dummyPrev}, dummyNext, isRoot);
return groups;
};
// Depth-first traverse non-space `nodes`, calling `callback` with the current and
// previous node as arguments, optionally returning a node to insert after the
// previous node. `prev` is an object with the previous node and `insertAfter`
// function to insert after it. `next` is a node that will be added to the right.
// Used for bin cancellation and inserting spacings.
const traverseNonSpaceNodes = function(
nodes: HtmlDomNode[],
callback: (HtmlDomNode, HtmlDomNode) => ?HtmlDomNode,
prev: {|
node: HtmlDomNode,
insertAfter?: HtmlDomNode => void,
|},
next: ?HtmlDomNode,
isRoot: boolean,
) {
if (next) { // temporarily append the right node, if exists
nodes.push(next);
}
let i = 0;
for (; i < nodes.length; i++) {
const node = nodes[i];
const partialGroup = checkPartialGroup(node);
if (partialGroup) { // Recursive DFS
// $FlowFixMe: make nodes a $ReadOnlyArray by returning a new array
traverseNonSpaceNodes(partialGroup.children,
callback, prev, null, isRoot);
continue;
}
// Ignore explicit spaces (e.g., \;, \,) when determining what implicit
// spacing should go between atoms of different classes
const nonspace = !node.hasClass("mspace");
if (nonspace) {
const result = callback(node, prev.node);
if (result) {
if (prev.insertAfter) {
prev.insertAfter(result);
} else { // insert at front
nodes.unshift(result);
i++;
}
}
}
if (nonspace) {
prev.node = node;
} else if (isRoot && node.hasClass("newline")) {
prev.node = makeSpan(["leftmost"]); // treat like beginning of line
}
prev.insertAfter = (index => n => {
nodes.splice(index + 1, 0, n);
i++;
})(i);
}
if (next) {
nodes.pop();
}
};
// Check if given node is a partial group, i.e., does not affect spacing around.
const checkPartialGroup = function(
node: HtmlDomNode,
): ?(DocumentFragment<HtmlDomNode> | Anchor | DomSpan) {
if (node instanceof DocumentFragment || node instanceof Anchor
|| (node instanceof Span && node.hasClass("enclosing"))) {
return node;
}
return null;
};
// Return the outermost node of a domTree.
const getOutermostNode = function(
node: HtmlDomNode,
side: Side,
): HtmlDomNode {
const partialGroup = checkPartialGroup(node);
if (partialGroup) {
const children = partialGroup.children;
if (children.length) {
if (side === "right") {
return getOutermostNode(children[children.length - 1], "right");
} else if (side === "left") {
return getOutermostNode(children[0], "left");
}
}
}
return node;
};
// Return math atom class (mclass) of a domTree.
// If `side` is given, it will get the type of the outermost node at given side.
export const getTypeOfDomTree = function(
node: ?HtmlDomNode,
side: ?Side,
): ?DomType {
if (!node) {
return null;
}
if (side) {
node = getOutermostNode(node, side);
}
// This makes a lot of assumptions as to where the type of atom
// appears. We should do a better job of enforcing this.
return DomEnum[node.classes[0]] || null;
};
export const makeNullDelimiter = function(
options: Options,
classes: string[],
): DomSpan {
const moreClasses = ["nulldelimiter"].concat(options.baseSizingClasses());
return makeSpan(classes.concat(moreClasses));
};
/**
* buildGroup is the function that takes a group and calls the correct groupType
* function for it. It also handles the interaction of size and style changes
* between parents and children.
*/
export const buildGroup = function(
group: ?AnyParseNode,
options: Options,
baseOptions?: Options,
): HtmlDomNode {
if (!group) {
return makeSpan();
}
if (groupBuilders[group.type]) {
// Call the groupBuilders function
// $FlowFixMe
let groupNode: HtmlDomNode = groupBuilders[group.type](group, options);
// If the size changed between the parent and the current group, account
// for that size difference.
if (baseOptions && options.size !== baseOptions.size) {
groupNode = makeSpan(options.sizingClasses(baseOptions),
[groupNode], options);
const multiplier =
options.sizeMultiplier / baseOptions.sizeMultiplier;
groupNode.height *= multiplier;
groupNode.depth *= multiplier;
}
return groupNode;
} else {
throw new ParseError(
"Got group of unknown type: '" + group.type + "'");
}
};
/**
* Combine an array of HTML DOM nodes (e.g., the output of `buildExpression`)
* into an unbreakable HTML node of class .base, with proper struts to
* guarantee correct vertical extent. `buildHTML` calls this repeatedly to
* make up the entire expression as a sequence of unbreakable units.
*/
function buildHTMLUnbreakable(children, options) {
// Compute height and depth of this chunk.
const body = makeSpan(["base"], children, options);
// Add strut, which ensures that the top of the HTML element falls at
// the height of the expression, and the bottom of the HTML element
// falls at the depth of the expression.
const strut = makeSpan(["strut"]);
strut.style.height = makeEm(body.height + body.depth);
if (body.depth) {
strut.style.verticalAlign = makeEm(-body.depth);
}
body.children.unshift(strut);
return body;
}
/**
* Take an entire parse tree, and build it into an appropriate set of HTML
* nodes.
*/
export default function buildHTML(tree: AnyParseNode[], options: Options): DomSpan {
// Strip off outer tag wrapper for processing below.
let tag = null;
if (tree.length === 1 && tree[0].type === "tag") {
tag = tree[0].tag;
tree = tree[0].body;
}
// Build the expression contained in the tree
const expression = buildExpression(tree, options, "root");
let eqnNum;
if (expression.length === 2 && expression[1].hasClass("tag")) {
// An environment with automatic equation numbers, e.g. {gather}.
eqnNum = expression.pop();
}
const children = [];
// Create one base node for each chunk between potential line breaks.
// The TeXBook [p.173] says "A formula will be broken only after a
// relation symbol like $=$ or $<$ or $\rightarrow$, or after a binary
// operation symbol like $+$ or $-$ or $\times$, where the relation or
// binary operation is on the ``outer level'' of the formula (i.e., not
// enclosed in {...} and not part of an \over construction)."
let parts = [];
for (let i = 0; i < expression.length; i++) {
parts.push(expression[i]);
if (expression[i].hasClass("mbin") ||
expression[i].hasClass("mrel") ||
expression[i].hasClass("allowbreak")) {
// Put any post-operator glue on same line as operator.
// Watch for \nobreak along the way, and stop at \newline.
let nobreak = false;
while (i < expression.length - 1 &&
expression[i + 1].hasClass("mspace") &&
!expression[i + 1].hasClass("newline")) {
i++;
parts.push(expression[i]);
if (expression[i].hasClass("nobreak")) {
nobreak = true;
}
}
// Don't allow break if \nobreak among the post-operator glue.
if (!nobreak) {
children.push(buildHTMLUnbreakable(parts, options));
parts = [];
}
} else if (expression[i].hasClass("newline")) {
// Write the line except the newline
parts.pop();
if (parts.length > 0) {
children.push(buildHTMLUnbreakable(parts, options));
parts = [];
}
// Put the newline at the top level
children.push(expression[i]);
}
}
if (parts.length > 0) {
children.push(buildHTMLUnbreakable(parts, options));
}
// Now, if there was a tag, build it too and append it as a final child.
let tagChild;
if (tag) {
tagChild = buildHTMLUnbreakable(
buildExpression(tag, options, true)
);
tagChild.classes = ["tag"];
children.push(tagChild);
} else if (eqnNum) {
children.push(eqnNum);
}
const htmlNode = makeSpan(["katex-html"], children);
htmlNode.setAttribute("aria-hidden", "true");
// Adjust the strut of the tag to be the maximum height of all children
// (the height of the enclosing htmlNode) for proper vertical alignment.
if (tagChild) {
const strut = tagChild.children[0];
strut.style.height = makeEm(htmlNode.height + htmlNode.depth);
if (htmlNode.depth) {
strut.style.verticalAlign = makeEm(-htmlNode.depth);
}
}
return htmlNode;
}