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JavaScript

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// @flow
/**
* This file contains the “gullet” where macros are expanded
* until only non-macro tokens remain.
*/
import functions from "./functions";
import symbols from "./symbols";
import Lexer from "./Lexer";
import {Token} from "./Token";
import type {Mode} from "./types";
import ParseError from "./ParseError";
import Namespace from "./Namespace";
import macros from "./macros";
import type {MacroContextInterface, MacroDefinition, MacroExpansion, MacroArg}
from "./defineMacro";
import type Settings from "./Settings";
// List of commands that act like macros but aren't defined as a macro,
// function, or symbol. Used in `isDefined`.
export const implicitCommands = {
"^": true, // Parser.js
"_": true, // Parser.js
"\\limits": true, // Parser.js
"\\nolimits": true, // Parser.js
};
export default class MacroExpander implements MacroContextInterface {
settings: Settings;
expansionCount: number;
lexer: Lexer;
macros: Namespace<MacroDefinition>;
stack: Token[];
mode: Mode;
constructor(input: string, settings: Settings, mode: Mode) {
this.settings = settings;
this.expansionCount = 0;
this.feed(input);
// Make new global namespace
this.macros = new Namespace(macros, settings.macros);
this.mode = mode;
this.stack = []; // contains tokens in REVERSE order
}
/**
* Feed a new input string to the same MacroExpander
* (with existing macros etc.).
*/
feed(input: string) {
this.lexer = new Lexer(input, this.settings);
}
/**
* Switches between "text" and "math" modes.
*/
switchMode(newMode: Mode) {
this.mode = newMode;
}
/**
* Start a new group nesting within all namespaces.
*/
beginGroup() {
this.macros.beginGroup();
}
/**
* End current group nesting within all namespaces.
*/
endGroup() {
this.macros.endGroup();
}
/**
* Ends all currently nested groups (if any), restoring values before the
* groups began. Useful in case of an error in the middle of parsing.
*/
endGroups() {
this.macros.endGroups();
}
/**
* Returns the topmost token on the stack, without expanding it.
* Similar in behavior to TeX's `\futurelet`.
*/
future(): Token {
if (this.stack.length === 0) {
this.pushToken(this.lexer.lex());
}
return this.stack[this.stack.length - 1];
}
/**
* Remove and return the next unexpanded token.
*/
popToken(): Token {
this.future(); // ensure non-empty stack
return this.stack.pop();
}
/**
* Add a given token to the token stack. In particular, this get be used
* to put back a token returned from one of the other methods.
*/
pushToken(token: Token) {
this.stack.push(token);
}
/**
* Append an array of tokens to the token stack.
*/
pushTokens(tokens: Token[]) {
this.stack.push(...tokens);
}
/**
* Find an macro argument without expanding tokens and append the array of
* tokens to the token stack. Uses Token as a container for the result.
*/
scanArgument(isOptional: boolean): ?Token {
let start;
let end;
let tokens;
if (isOptional) {
this.consumeSpaces(); // \@ifnextchar gobbles any space following it
if (this.future().text !== "[") {
return null;
}
start = this.popToken(); // don't include [ in tokens
({tokens, end} = this.consumeArg(["]"]));
} else {
({tokens, start, end} = this.consumeArg());
}
// indicate the end of an argument
this.pushToken(new Token("EOF", end.loc));
this.pushTokens(tokens);
return start.range(end, "");
}
/**
* Consume all following space tokens, without expansion.
*/
consumeSpaces() {
for (;;) {
const token = this.future();
if (token.text === " ") {
this.stack.pop();
} else {
break;
}
}
}
/**
* Consume an argument from the token stream, and return the resulting array
* of tokens and start/end token.
*/
consumeArg(delims?: ?string[]): MacroArg {
// The argument for a delimited parameter is the shortest (possibly
// empty) sequence of tokens with properly nested {...} groups that is
// followed ... by this particular list of non-parameter tokens.
// The argument for an undelimited parameter is the next nonblank
// token, unless that token is {, when the argument will be the
// entire {...} group that follows.
const tokens: Token[] = [];
const isDelimited = delims && delims.length > 0;
if (!isDelimited) {
// Ignore spaces between arguments. As the TeXbook says:
// "After you have said \def\row#1#2{...}, you are allowed to
// put spaces between the arguments (e.g., \row x n), because
// TeX doesnt use single spaces as undelimited arguments."
this.consumeSpaces();
}
const start = this.future();
let tok;
let depth = 0;
let match = 0;
do {
tok = this.popToken();
tokens.push(tok);
if (tok.text === "{") {
++depth;
} else if (tok.text === "}") {
--depth;
if (depth === -1) {
throw new ParseError("Extra }", tok);
}
} else if (tok.text === "EOF") {
throw new ParseError("Unexpected end of input in a macro argument" +
", expected '" + (delims && isDelimited ? delims[match] : "}") +
"'", tok);
}
if (delims && isDelimited) {
if ((depth === 0 || (depth === 1 && delims[match] === "{")) &&
tok.text === delims[match]) {
++match;
if (match === delims.length) {
// don't include delims in tokens
tokens.splice(-match, match);
break;
}
} else {
match = 0;
}
}
} while (depth !== 0 || isDelimited);
// If the argument found ... has the form {<nested tokens>},
// ... the outermost braces enclosing the argument are removed
if (start.text === "{" && tokens[tokens.length - 1].text === "}") {
tokens.pop();
tokens.shift();
}
tokens.reverse(); // to fit in with stack order
return {tokens, start, end: tok};
}
/**
* Consume the specified number of (delimited) arguments from the token
* stream and return the resulting array of arguments.
*/
consumeArgs(numArgs: number, delimiters?: string[][]): Token[][] {
if (delimiters) {
if (delimiters.length !== numArgs + 1) {
throw new ParseError(
"The length of delimiters doesn't match the number of args!");
}
const delims = delimiters[0];
for (let i = 0; i < delims.length; i++) {
const tok = this.popToken();
if (delims[i] !== tok.text) {
throw new ParseError(
"Use of the macro doesn't match its definition", tok);
}
}
}
const args: Token[][] = [];
for (let i = 0; i < numArgs; i++) {
args.push(this.consumeArg(delimiters && delimiters[i + 1]).tokens);
}
return args;
}
/**
* Increment `expansionCount` by the specified amount.
* Throw an error if it exceeds `maxExpand`.
*/
countExpansion(amount: number): void {
this.expansionCount += amount;
if (this.expansionCount > this.settings.maxExpand) {
throw new ParseError("Too many expansions: infinite loop or " +
"need to increase maxExpand setting");
}
}
/**
* Expand the next token only once if possible.
*
* If the token is expanded, the resulting tokens will be pushed onto
* the stack in reverse order, and the number of such tokens will be
* returned. This number might be zero or positive.
*
* If not, the return value is `false`, and the next token remains at the
* top of the stack.
*
* In either case, the next token will be on the top of the stack,
* or the stack will be empty (in case of empty expansion
* and no other tokens).
*
* Used to implement `expandAfterFuture` and `expandNextToken`.
*
* If expandableOnly, only expandable tokens are expanded and
* an undefined control sequence results in an error.
*/
expandOnce(expandableOnly?: boolean): number | boolean {
const topToken = this.popToken();
const name = topToken.text;
const expansion = !topToken.noexpand ? this._getExpansion(name) : null;
if (expansion == null || (expandableOnly && expansion.unexpandable)) {
if (expandableOnly && expansion == null &&
name[0] === "\\" && !this.isDefined(name)) {
throw new ParseError("Undefined control sequence: " + name);
}
this.pushToken(topToken);
return false;
}
this.countExpansion(1);
let tokens = expansion.tokens;
const args = this.consumeArgs(expansion.numArgs, expansion.delimiters);
if (expansion.numArgs) {
// paste arguments in place of the placeholders
tokens = tokens.slice(); // make a shallow copy
for (let i = tokens.length - 1; i >= 0; --i) {
let tok = tokens[i];
if (tok.text === "#") {
if (i === 0) {
throw new ParseError(
"Incomplete placeholder at end of macro body",
tok);
}
tok = tokens[--i]; // next token on stack
if (tok.text === "#") { // ## → #
tokens.splice(i + 1, 1); // drop first #
} else if (/^[1-9]$/.test(tok.text)) {
// replace the placeholder with the indicated argument
tokens.splice(i, 2, ...args[+tok.text - 1]);
} else {
throw new ParseError(
"Not a valid argument number",
tok);
}
}
}
}
// Concatenate expansion onto top of stack.
this.pushTokens(tokens);
return tokens.length;
}
/**
* Expand the next token only once (if possible), and return the resulting
* top token on the stack (without removing anything from the stack).
* Similar in behavior to TeX's `\expandafter\futurelet`.
* Equivalent to expandOnce() followed by future().
*/
expandAfterFuture(): Token {
this.expandOnce();
return this.future();
}
/**
* Recursively expand first token, then return first non-expandable token.
*/
expandNextToken(): Token {
for (;;) {
if (this.expandOnce() === false) { // fully expanded
const token = this.stack.pop();
// the token after \noexpand is interpreted as if its meaning
// were \relax
if (token.treatAsRelax) {
token.text = "\\relax";
}
return token;
}
}
// Flow unable to figure out that this pathway is impossible.
// https://github.com/facebook/flow/issues/4808
throw new Error(); // eslint-disable-line no-unreachable
}
/**
* Fully expand the given macro name and return the resulting list of
* tokens, or return `undefined` if no such macro is defined.
*/
expandMacro(name: string): Token[] | void {
return this.macros.has(name)
? this.expandTokens([new Token(name)]) : undefined;
}
/**
* Fully expand the given token stream and return the resulting list of
* tokens. Note that the input tokens are in reverse order, but the
* output tokens are in forward order.
*/
expandTokens(tokens: Token[]): Token[] {
const output = [];
const oldStackLength = this.stack.length;
this.pushTokens(tokens);
while (this.stack.length > oldStackLength) {
// Expand only expandable tokens
if (this.expandOnce(true) === false) { // fully expanded
const token = this.stack.pop();
if (token.treatAsRelax) {
// the expansion of \noexpand is the token itself
token.noexpand = false;
token.treatAsRelax = false;
}
output.push(token);
}
}
// Count all of these tokens as additional expansions, to prevent
// exponential blowup from linearly many \edef's.
this.countExpansion(output.length);
return output;
}
/**
* Fully expand the given macro name and return the result as a string,
* or return `undefined` if no such macro is defined.
*/
expandMacroAsText(name: string): string | void {
const tokens = this.expandMacro(name);
if (tokens) {
return tokens.map((token) => token.text).join("");
} else {
return tokens;
}
}
/**
* Returns the expanded macro as a reversed array of tokens and a macro
* argument count. Or returns `null` if no such macro.
*/
_getExpansion(name: string): ?MacroExpansion {
const definition = this.macros.get(name);
if (definition == null) { // mainly checking for undefined here
return definition;
}
// If a single character has an associated catcode other than 13
// (active character), then don't expand it.
if (name.length === 1) {
const catcode = this.lexer.catcodes[name];
if (catcode != null && catcode !== 13) {
return;
}
}
const expansion =
typeof definition === "function" ? definition(this) : definition;
if (typeof expansion === "string") {
let numArgs = 0;
if (expansion.indexOf("#") !== -1) {
const stripped = expansion.replace(/##/g, "");
while (stripped.indexOf("#" + (numArgs + 1)) !== -1) {
++numArgs;
}
}
const bodyLexer = new Lexer(expansion, this.settings);
const tokens = [];
let tok = bodyLexer.lex();
while (tok.text !== "EOF") {
tokens.push(tok);
tok = bodyLexer.lex();
}
tokens.reverse(); // to fit in with stack using push and pop
const expanded = {tokens, numArgs};
return expanded;
}
return expansion;
}
/**
* Determine whether a command is currently "defined" (has some
* functionality), meaning that it's a macro (in the current group),
* a function, a symbol, or one of the special commands listed in
* `implicitCommands`.
*/
isDefined(name: string): boolean {
return this.macros.has(name) ||
functions.hasOwnProperty(name) ||
symbols.math.hasOwnProperty(name) ||
symbols.text.hasOwnProperty(name) ||
implicitCommands.hasOwnProperty(name);
}
/**
* Determine whether a command is expandable.
*/
isExpandable(name: string): boolean {
const macro = this.macros.get(name);
return macro != null ? typeof macro === "string"
|| typeof macro === "function" || !macro.unexpandable
: functions.hasOwnProperty(name) && !functions[name].primitive;
}
}