1761 lines
66 KiB
JavaScript
1761 lines
66 KiB
JavaScript
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/*************************************************************
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*
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* MathJax/jax/input/TeX/jax.js
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*
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* Implements the TeX InputJax that reads mathematics in
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* TeX and LaTeX format and converts it to the MML ElementJax
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* internal format.
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*
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* ---------------------------------------------------------------------
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*
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* Copyright (c) 2009-2011 Design Science, Inc.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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(function (TEX) {
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var TRUE = true, FALSE = false, MML, NBSP = String.fromCharCode(0xA0);
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var STACK = MathJax.Object.Subclass({
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Init: function (env) {
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this.global = {};
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this.data = [STACKITEM.start().With({global: this.global})];
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if (env) {this.data[0].env = env}
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this.env = this.data[0].env;
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},
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Push: function () {
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var i, m, item, top;
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for (i = 0, m = arguments.length; i < m; i++) {
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item = arguments[i];
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if (item instanceof MML.mbase) {item = STACKITEM.mml(item)}
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item.global = this.global;
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top = (this.data.length ? this.Top().checkItem(item) : TRUE);
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if (top instanceof Array) {this.Pop(); this.Push.apply(this,top)}
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else if (top instanceof STACKITEM) {this.Pop(); this.Push(top)}
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else if (top) {
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this.data.push(item);
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if (item.env) {
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for (var id in this.env)
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{if (this.env.hasOwnProperty(id)) {item.env[id] = this.env[id]}}
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this.env = item.env;
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} else {item.env = this.env}
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}
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}
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},
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Pop: function () {
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var item = this.data.pop(); if (!item.isOpen) {delete item.env}
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this.env = (this.data.length ? this.Top().env : {});
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return item;
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},
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Top: function (n) {
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if (n == null) {n = 1}
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if (this.data.length < n) {return null}
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return this.data[this.data.length-n];
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},
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Prev: function (noPop) {
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var top = this.Top();
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if (noPop) {return top.data[top.data.length-1]}
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else {return top.Pop()}
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},
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toString: function () {return "stack[\n "+this.data.join("\n ")+"\n]"}
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});
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var STACKITEM = STACK.Item = MathJax.Object.Subclass({
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type: "base",
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closeError: "Extra close brace or missing open brace",
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rightError: "Missing \\left or extra \\right",
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Init: function () {
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if (this.isOpen) {this.env = {}}
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this.data = [];
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this.Push.apply(this,arguments);
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},
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Push: function () {this.data.push.apply(this.data,arguments)},
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Pop: function () {return this.data.pop()},
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mmlData: function (inferred,forceRow) {
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if (inferred == null) {inferred = TRUE}
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if (this.data.length === 1 && !forceRow) {return this.data[0]}
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return MML.mrow.apply(MML,this.data).With((inferred ? {inferred: TRUE}: {}));
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},
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checkItem: function (item) {
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if (item.type === "over" && this.isOpen) {item.num = this.mmlData(FALSE); this.data = []}
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if (item.type === "cell" && this.isOpen) {TEX.Error("Misplaced "+item.name)}
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if (item.isClose && this[item.type+"Error"]) {TEX.Error(this[item.type+"Error"])}
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if (!item.isNotStack) {return TRUE}
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this.Push(item.data[0]); return FALSE;
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},
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With: function (def) {
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for (var id in def) {if (def.hasOwnProperty(id)) {this[id] = def[id]}}
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return this;
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},
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toString: function () {return this.type+"["+this.data.join("; ")+"]"}
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});
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STACKITEM.start = STACKITEM.Subclass({
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type: "start", isOpen: TRUE,
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checkItem: function (item) {
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if (item.type === "stop") {return STACKITEM.mml(this.mmlData())}
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return this.SUPER(arguments).checkItem.call(this,item);
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}
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});
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STACKITEM.stop = STACKITEM.Subclass({
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type: "stop", isClose: TRUE
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});
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STACKITEM.open = STACKITEM.Subclass({
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type: "open", isOpen: TRUE,
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stopError: "Extra open brace or missing close brace",
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checkItem: function (item) {
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if (item.type === "close") {
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var mml = this.mmlData(); // this.mmlData(TRUE,TRUE); // force row
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return STACKITEM.mml(MML.TeXAtom(mml)); // TeXAtom make it an ORD to prevent spacing (FIXME: should be another way)
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}
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return this.SUPER(arguments).checkItem.call(this,item);
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}
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});
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STACKITEM.close = STACKITEM.Subclass({
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type: "close", isClose: TRUE
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});
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STACKITEM.subsup = STACKITEM.Subclass({
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type: "subsup",
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stopError: "Missing superscript or subscript argument",
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checkItem: function (item) {
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var script = ["","subscript","superscript"][this.position];
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if (item.type === "open" || item.type === "left") {return TRUE}
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if (item.type === "mml") {
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this.data[0].SetData(this.position,item.data[0]);
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return STACKITEM.mml(this.data[0]);
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}
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if (this.SUPER(arguments).checkItem.call(this,item))
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{TEX.Error("Missing open brace for "+script)}
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},
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Pop: function () {}
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});
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STACKITEM.over = STACKITEM.Subclass({
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type: "over", isClose: TRUE, name: "\\over",
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checkItem: function (item,stack) {
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if (item.type === "over") {TEX.Error("Ambiguous use of "+item.name)}
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if (item.isClose) {
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var mml = MML.mfrac(this.num,this.mmlData(FALSE));
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if (this.thickness != null) {mml.linethickness = this.thickness}
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if (this.open || this.close) {
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mml.texClass = MML.TEXCLASS.INNER;
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mml.texWithDelims = TRUE;
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mml = MML.mfenced(mml).With({open: this.open, close: this.close});
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}
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return [STACKITEM.mml(mml), item];
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}
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return this.SUPER(arguments).checkItem.call(this,item);
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},
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toString: function () {return "over["+this.num+" / "+this.data.join("; ")+"]"}
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});
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STACKITEM.left = STACKITEM.Subclass({
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type: "left", isOpen: TRUE, delim: '(',
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stopError: "Extra \\left or missing \\right",
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checkItem: function (item) {
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if (item.type === "right") {
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var mml = MML.mfenced(this.data.length === 1 ? this.data[0] : MML.mrow.apply(MML,this.data));
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return STACKITEM.mml(mml.With({open: this.delim, close: item.delim}));
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}
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return this.SUPER(arguments).checkItem.call(this,item);
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}
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});
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STACKITEM.right = STACKITEM.Subclass({
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type: "right", isClose: TRUE, delim: ')'
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});
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STACKITEM.begin = STACKITEM.Subclass({
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type: "begin", isOpen: TRUE,
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checkItem: function (item) {
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if (item.type === "end") {
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if (item.name !== this.name)
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{TEX.Error("\\begin{"+this.name+"} ended with \\end{"+item.name+"}")}
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if (!this.end) {return STACKITEM.mml(this.mmlData())}
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return this.parse[this.end].call(this.parse,this,this.data);
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}
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if (item.type === "stop") {TEX.Error("Missing \\end{"+this.name+"}")}
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return this.SUPER(arguments).checkItem.call(this,item);
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}
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});
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STACKITEM.end = STACKITEM.Subclass({
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type: "end", isClose: TRUE
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});
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STACKITEM.style = STACKITEM.Subclass({
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type: "style",
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checkItem: function (item) {
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if (!item.isClose) {return this.SUPER(arguments).checkItem.call(this,item)}
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var mml = MML.mstyle.apply(MML,this.data).With(this.styles);
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return [STACKITEM.mml(mml),item];
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}
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});
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STACKITEM.position = STACKITEM.Subclass({
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type: "position",
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checkItem: function (item) {
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if (item.isClose) {TEX.Error("Missing box for "+this.name)}
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if (item.isNotStack) {
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var mml = item.mmlData();
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switch (this.move) {
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case 'vertical':
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mml = MML.mpadded(mml).With({height: this.dh, depth: this.dd, voffset: this.dh});
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return [STACKITEM.mml(mml)];
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case 'horizontal':
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return [STACKITEM.mml(this.left),item,STACKITEM.mml(this.right)];
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}
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}
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return this.SUPER(arguments).checkItem.call(this,item);
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}
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});
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STACKITEM.array = STACKITEM.Subclass({
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type: "array", isOpen: TRUE, arraydef: {},
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Init: function () {
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this.table = []; this.row = []; this.env = {};
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this.SUPER(arguments).Init.apply(this,arguments);
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},
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checkItem: function (item) {
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if (item.isClose && item.type !== "over") {
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if (item.isEntry) {this.EndEntry(); this.clearEnv(); return FALSE}
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if (item.isCR) {this.EndEntry(); this.EndRow(); this.clearEnv(); return FALSE}
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this.EndTable(); this.clearEnv();
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var mml = MML.mtable.apply(MML,this.table).With(this.arraydef);
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if (this.open || this.close) {
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mml = MML.mfenced(mml).With({open: this.open, close: this.close});
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}
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mml = STACKITEM.mml(mml);
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if (this.requireClose) {
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if (item.type === 'close') {return mml}
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TEX.Error("Missing close brace");
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}
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return [mml,item];
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}
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return this.SUPER(arguments).checkItem.call(this,item);
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},
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EndEntry: function () {this.row.push(MML.mtd.apply(MML,this.data)); this.data = []},
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EndRow: function () {this.table.push(MML.mtr.apply(MML,this.row)); this.row = []},
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EndTable: function () {
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if (this.data.length || this.row.length) {this.EndEntry(); this.EndRow()}
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this.checkLines();
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},
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checkLines: function () {
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if (this.arraydef.rowlines) {
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var lines = this.arraydef.rowlines.split(/ /);
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if (lines.length === this.table.length) {
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this.arraydef.frame = lines.pop();
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this.arraydef.rowlines = lines.join(' ');
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} else if (lines.length < this.table.length -1) {
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this.arraydef.rowlines += " none";
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}
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}
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},
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clearEnv: function () {
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for (var id in this.env) {if (this.env.hasOwnProperty(id)) {delete this.env[id]}}
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}
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});
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STACKITEM.cell = STACKITEM.Subclass({
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type: "cell", isClose: TRUE
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});
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STACKITEM.mml = STACKITEM.Subclass({
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type: "mml", isNotStack: TRUE,
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Push: function () {
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// embellished are type ORD in TeX (but not MML) so wrap them in TeXAtom
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for (var i = 0, m = arguments.length; i < m; i++) {
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if (arguments[i].type !== "mo" && arguments[i].isEmbellished())
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{arguments[i] = MML.TeXAtom(arguments[i]).With({isEmbellishedWrapper: TRUE})}
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}
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this.data.push.apply(this.data,arguments);
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},
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Add: function () {this.data.push.apply(this.data,arguments); return this}
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});
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||
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var TEXDEF = {};
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var STARTUP = function () {
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MML = MathJax.ElementJax.mml;
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MathJax.Hub.Insert(TEXDEF,{
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// patterns for letters and numbers
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letter: /[a-z]/i,
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digit: /[0-9.]/,
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number: /^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,
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special: {
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'\\': 'ControlSequence',
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'{': 'Open',
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'}': 'Close',
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'~': 'Tilde',
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'^': 'Superscript',
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'_': 'Subscript',
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' ': 'Space',
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"\t": 'Space',
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"\r": 'Space',
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"\n": 'Space',
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"'": 'Prime',
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'%': 'Comment',
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'&': 'Entry',
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'#': 'Hash',
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'\u2019': 'Prime'
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},
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remap: {
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'-': '2212',
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'*': '2217'
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},
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mathchar0mi: {
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// Lower-case greek
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alpha: '03B1',
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beta: '03B2',
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gamma: '03B3',
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delta: '03B4',
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epsilon: '03F5',
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zeta: '03B6',
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eta: '03B7',
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theta: '03B8',
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iota: '03B9',
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kappa: '03BA',
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lambda: '03BB',
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mu: '03BC',
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nu: '03BD',
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xi: '03BE',
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omicron: '03BF', // added for completeness
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pi: '03C0',
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rho: '03C1',
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sigma: '03C3',
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|
|
tau: '03C4',
|
||
|
|
upsilon: '03C5',
|
||
|
|
phi: '03D5',
|
||
|
|
chi: '03C7',
|
||
|
|
psi: '03C8',
|
||
|
|
omega: '03C9',
|
||
|
|
varepsilon: '03B5',
|
||
|
|
vartheta: '03D1',
|
||
|
|
varpi: '03D6',
|
||
|
|
varrho: '03F1',
|
||
|
|
varsigma: '03C2',
|
||
|
|
varphi: '03C6',
|
||
|
|
|
||
|
|
// Ord symbols
|
||
|
|
S: '00A7',
|
||
|
|
aleph: ['2135',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
hbar: '210F',
|
||
|
|
imath: '0131',
|
||
|
|
jmath: '0237',
|
||
|
|
ell: '2113',
|
||
|
|
wp: ['2118',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
Re: ['211C',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
Im: ['2111',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
partial: ['2202',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
infty: ['221E',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
prime: ['2032',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
emptyset: ['2205',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
nabla: ['2207',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
top: ['22A4',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
bot: ['22A5',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
angle: ['2220',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
triangle: ['25B3',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
backslash: ['2216',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
forall: ['2200',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
exists: ['2203',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
neg: ['00AC',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
lnot: ['00AC',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
flat: ['266D',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
natural: ['266E',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
sharp: ['266F',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
clubsuit: ['2663',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
diamondsuit: ['2662',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
heartsuit: ['2661',{mathvariant: MML.VARIANT.NORMAL}],
|
||
|
|
spadesuit: ['2660',{mathvariant: MML.VARIANT.NORMAL}]
|
||
|
|
},
|
||
|
|
|
||
|
|
mathchar0mo: {
|
||
|
|
surd: '221A',
|
||
|
|
|
||
|
|
// big ops
|
||
|
|
coprod: ['2210',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigvee: ['22C1',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigwedge: ['22C0',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
biguplus: ['2A04',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigcap: ['22C2',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigcup: ['22C3',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
'int': ['222B',{texClass: MML.TEXCLASS.OP}],
|
||
|
|
intop: ['222B',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE, movablelimits:TRUE}],
|
||
|
|
iint: ['222C',{texClass: MML.TEXCLASS.OP}],
|
||
|
|
iiint: ['222D',{texClass: MML.TEXCLASS.OP}],
|
||
|
|
prod: ['220F',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
sum: ['2211',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigotimes: ['2A02',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigoplus: ['2A01',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
bigodot: ['2A00',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
oint: ['222E',{texClass: MML.TEXCLASS.OP}],
|
||
|
|
bigsqcup: ['2A06',{texClass: MML.TEXCLASS.OP, movesupsub:TRUE}],
|
||
|
|
smallint: ['222B',{largeop:FALSE}],
|
||
|
|
|
||
|
|
// binary operations
|
||
|
|
triangleleft: '25C3',
|
||
|
|
triangleright: '25B9',
|
||
|
|
bigtriangleup: '25B3',
|
||
|
|
bigtriangledown: '25BD',
|
||
|
|
wedge: '2227',
|
||
|
|
land: '2227',
|
||
|
|
vee: '2228',
|
||
|
|
lor: '2228',
|
||
|
|
cap: '2229',
|
||
|
|
cup: '222A',
|
||
|
|
ddagger: '2021',
|
||
|
|
dagger: '2020',
|
||
|
|
sqcap: '2293',
|
||
|
|
sqcup: '2294',
|
||
|
|
uplus: '228E',
|
||
|
|
amalg: '2A3F',
|
||
|
|
diamond: '22C4',
|
||
|
|
bullet: '2219',
|
||
|
|
wr: '2240',
|
||
|
|
div: '00F7',
|
||
|
|
odot: ['2299',{largeop: FALSE}],
|
||
|
|
oslash: ['2298',{largeop: FALSE}],
|
||
|
|
otimes: ['2297',{largeop: FALSE}],
|
||
|
|
ominus: ['2296',{largeop: FALSE}],
|
||
|
|
oplus: ['2295',{largeop: FALSE}],
|
||
|
|
mp: '2213',
|
||
|
|
pm: '00B1',
|
||
|
|
circ: '2218',
|
||
|
|
bigcirc: '25EF',
|
||
|
|
setminus: '2216',
|
||
|
|
cdot: '22C5',
|
||
|
|
ast: '2217',
|
||
|
|
times: '00D7',
|
||
|
|
star: '22C6',
|
||
|
|
|
||
|
|
// Relations
|
||
|
|
propto: '221D',
|
||
|
|
sqsubseteq: '2291',
|
||
|
|
sqsupseteq: '2292',
|
||
|
|
parallel: '2225',
|
||
|
|
mid: '2223',
|
||
|
|
dashv: '22A3',
|
||
|
|
vdash: '22A2',
|
||
|
|
leq: '2264',
|
||
|
|
le: '2264',
|
||
|
|
geq: '2265',
|
||
|
|
ge: '2265',
|
||
|
|
lt: '003C',
|
||
|
|
gt: '003E',
|
||
|
|
succ: '227B',
|
||
|
|
prec: '227A',
|
||
|
|
approx: '2248',
|
||
|
|
succeq: '2AB0', // or '227C',
|
||
|
|
preceq: '2AAF', // or '227D',
|
||
|
|
supset: '2283',
|
||
|
|
subset: '2282',
|
||
|
|
supseteq: '2287',
|
||
|
|
subseteq: '2286',
|
||
|
|
'in': '2208',
|
||
|
|
ni: '220B',
|
||
|
|
notin: '2209',
|
||
|
|
owns: '220B',
|
||
|
|
gg: '226B',
|
||
|
|
ll: '226A',
|
||
|
|
sim: '223C',
|
||
|
|
simeq: '2243',
|
||
|
|
perp: '22A5',
|
||
|
|
equiv: '2261',
|
||
|
|
asymp: '224D',
|
||
|
|
smile: '2323',
|
||
|
|
frown: '2322',
|
||
|
|
ne: '2260',
|
||
|
|
neq: '2260',
|
||
|
|
cong: '2245',
|
||
|
|
doteq: '2250',
|
||
|
|
bowtie: '22C8',
|
||
|
|
models: '22A8',
|
||
|
|
|
||
|
|
notChar: '0338',
|
||
|
|
|
||
|
|
|
||
|
|
// Arrows
|
||
|
|
Leftrightarrow: '21D4',
|
||
|
|
Leftarrow: '21D0',
|
||
|
|
Rightarrow: '21D2',
|
||
|
|
leftrightarrow: '2194',
|
||
|
|
leftarrow: '2190',
|
||
|
|
gets: '2190',
|
||
|
|
rightarrow: '2192',
|
||
|
|
to: '2192',
|
||
|
|
mapsto: '21A6',
|
||
|
|
leftharpoonup: '21BC',
|
||
|
|
leftharpoondown: '21BD',
|
||
|
|
rightharpoonup: '21C0',
|
||
|
|
rightharpoondown: '21C1',
|
||
|
|
nearrow: '2197',
|
||
|
|
searrow: '2198',
|
||
|
|
nwarrow: '2196',
|
||
|
|
swarrow: '2199',
|
||
|
|
rightleftharpoons: '21CC',
|
||
|
|
hookrightarrow: '21AA',
|
||
|
|
hookleftarrow: '21A9',
|
||
|
|
longleftarrow: '27F5',
|
||
|
|
Longleftarrow: '27F8',
|
||
|
|
longrightarrow: '27F6',
|
||
|
|
Longrightarrow: '27F9',
|
||
|
|
Longleftrightarrow: '27FA',
|
||
|
|
longleftrightarrow: '27F7',
|
||
|
|
longmapsto: '27FC',
|
||
|
|
|
||
|
|
|
||
|
|
// Misc.
|
||
|
|
ldots: '2026',
|
||
|
|
cdots: '22EF',
|
||
|
|
vdots: '22EE',
|
||
|
|
ddots: '22F1',
|
||
|
|
dots: '2026', // should be more complex than this
|
||
|
|
dotsc: '2026', // dots with commas
|
||
|
|
dotsb: '22EF', // dots with binary ops and relations
|
||
|
|
dotsm: '22EF', // dots with multiplication
|
||
|
|
dotsi: '22EF', // dots with integrals
|
||
|
|
dotso: '2026', // other dots
|
||
|
|
|
||
|
|
ldotp: ['002E', {texClass: MML.TEXCLASS.PUNCT}],
|
||
|
|
cdotp: ['22C5', {texClass: MML.TEXCLASS.PUNCT}],
|
||
|
|
colon: ['003A', {texClass: MML.TEXCLASS.PUNCT}]
|
||
|
|
},
|
||
|
|
|
||
|
|
mathchar7: {
|
||
|
|
Gamma: '0393',
|
||
|
|
Delta: '0394',
|
||
|
|
Theta: '0398',
|
||
|
|
Lambda: '039B',
|
||
|
|
Xi: '039E',
|
||
|
|
Pi: '03A0',
|
||
|
|
Sigma: '03A3',
|
||
|
|
Upsilon: '03A5',
|
||
|
|
Phi: '03A6',
|
||
|
|
Psi: '03A8',
|
||
|
|
Omega: '03A9',
|
||
|
|
|
||
|
|
'_': '005F',
|
||
|
|
'#': '0023',
|
||
|
|
'$': '0024',
|
||
|
|
'%': '0025',
|
||
|
|
'&': '0026',
|
||
|
|
And: '0026'
|
||
|
|
},
|
||
|
|
|
||
|
|
delimiter: {
|
||
|
|
'(': '(',
|
||
|
|
')': ')',
|
||
|
|
'[': '[',
|
||
|
|
']': ']',
|
||
|
|
'<': '27E8',
|
||
|
|
'>': '27E9',
|
||
|
|
'\\lt': '27E8',
|
||
|
|
'\\gt': '27E9',
|
||
|
|
'/': '/',
|
||
|
|
'|': ['|',{texClass:MML.TEXCLASS.ORD}],
|
||
|
|
'.': '',
|
||
|
|
'\\\\': '\\',
|
||
|
|
'\\lmoustache': '23B0', // non-standard
|
||
|
|
'\\rmoustache': '23B1', // non-standard
|
||
|
|
'\\lgroup': '27EE', // non-standard
|
||
|
|
'\\rgroup': '27EF', // non-standard
|
||
|
|
'\\arrowvert': '23D0',
|
||
|
|
'\\Arrowvert': '2016',
|
||
|
|
'\\bracevert': '23AA', // non-standard
|
||
|
|
'\\Vert': ['2225',{texClass:MML.TEXCLASS.ORD}],
|
||
|
|
'\\|': ['2225',{texClass:MML.TEXCLASS.ORD}],
|
||
|
|
'\\vert': ['|',{texClass:MML.TEXCLASS.ORD}],
|
||
|
|
'\\uparrow': '2191',
|
||
|
|
'\\downarrow': '2193',
|
||
|
|
'\\updownarrow': '2195',
|
||
|
|
'\\Uparrow': '21D1',
|
||
|
|
'\\Downarrow': '21D3',
|
||
|
|
'\\Updownarrow': '21D5',
|
||
|
|
'\\backslash': '\\',
|
||
|
|
'\\rangle': '27E9',
|
||
|
|
'\\langle': '27E8',
|
||
|
|
'\\rbrace': '}',
|
||
|
|
'\\lbrace': '{',
|
||
|
|
'\\}': '}',
|
||
|
|
'\\{': '{',
|
||
|
|
'\\rceil': '2309',
|
||
|
|
'\\lceil': '2308',
|
||
|
|
'\\rfloor': '230B',
|
||
|
|
'\\lfloor': '230A',
|
||
|
|
'\\lbrack': '[',
|
||
|
|
'\\rbrack': ']'
|
||
|
|
},
|
||
|
|
|
||
|
|
macros: {
|
||
|
|
displaystyle: ['SetStyle','D',TRUE,0],
|
||
|
|
textstyle: ['SetStyle','T',FALSE,0],
|
||
|
|
scriptstyle: ['SetStyle','S',FALSE,1],
|
||
|
|
scriptscriptstyle: ['SetStyle','SS',FALSE,2],
|
||
|
|
|
||
|
|
rm: ['SetFont',MML.VARIANT.NORMAL],
|
||
|
|
mit: ['SetFont',MML.VARIANT.ITALIC],
|
||
|
|
oldstyle: ['SetFont',MML.VARIANT.OLDSTYLE],
|
||
|
|
cal: ['SetFont',MML.VARIANT.CALIGRAPHIC],
|
||
|
|
it: ['SetFont',MML.VARIANT.ITALIC], // may need special handling
|
||
|
|
bf: ['SetFont',MML.VARIANT.BOLD],
|
||
|
|
bbFont: ['SetFont',MML.VARIANT.DOUBLESTRUCK],
|
||
|
|
scr: ['SetFont',MML.VARIANT.SCRIPT],
|
||
|
|
frak: ['SetFont',MML.VARIANT.FRAKTUR],
|
||
|
|
sf: ['SetFont',MML.VARIANT.SANSSERIF],
|
||
|
|
tt: ['SetFont',MML.VARIANT.MONOSPACE],
|
||
|
|
|
||
|
|
// font:
|
||
|
|
|
||
|
|
tiny: ['SetSize',0.5],
|
||
|
|
Tiny: ['SetSize',0.6], // non-standard
|
||
|
|
scriptsize: ['SetSize',0.7],
|
||
|
|
small: ['SetSize',0.85],
|
||
|
|
normalsize: ['SetSize',1.0],
|
||
|
|
large: ['SetSize',1.2],
|
||
|
|
Large: ['SetSize',1.44],
|
||
|
|
LARGE: ['SetSize',1.73],
|
||
|
|
huge: ['SetSize',2.07],
|
||
|
|
Huge: ['SetSize',2.49],
|
||
|
|
|
||
|
|
arcsin: ['NamedOp',0],
|
||
|
|
arccos: ['NamedOp',0],
|
||
|
|
arctan: ['NamedOp',0],
|
||
|
|
arg: ['NamedOp',0],
|
||
|
|
cos: ['NamedOp',0],
|
||
|
|
cosh: ['NamedOp',0],
|
||
|
|
cot: ['NamedOp',0],
|
||
|
|
coth: ['NamedOp',0],
|
||
|
|
csc: ['NamedOp',0],
|
||
|
|
deg: ['NamedOp',0],
|
||
|
|
det: 'NamedOp',
|
||
|
|
dim: ['NamedOp',0],
|
||
|
|
exp: ['NamedOp',0],
|
||
|
|
gcd: 'NamedOp',
|
||
|
|
hom: ['NamedOp',0],
|
||
|
|
inf: 'NamedOp',
|
||
|
|
ker: ['NamedOp',0],
|
||
|
|
lg: ['NamedOp',0],
|
||
|
|
lim: 'NamedOp',
|
||
|
|
liminf: ['NamedOp',null,'lim inf'],
|
||
|
|
limsup: ['NamedOp',null,'lim sup'],
|
||
|
|
ln: ['NamedOp',0],
|
||
|
|
log: ['NamedOp',0],
|
||
|
|
max: 'NamedOp',
|
||
|
|
min: 'NamedOp',
|
||
|
|
Pr: 'NamedOp',
|
||
|
|
sec: ['NamedOp',0],
|
||
|
|
sin: ['NamedOp',0],
|
||
|
|
sinh: ['NamedOp',0],
|
||
|
|
sup: 'NamedOp',
|
||
|
|
tan: ['NamedOp',0],
|
||
|
|
tanh: ['NamedOp',0],
|
||
|
|
|
||
|
|
limits: ['Limits',1],
|
||
|
|
nolimits: ['Limits',0],
|
||
|
|
|
||
|
|
overline: ['UnderOver','203E'],
|
||
|
|
underline: ['UnderOver','005F'],
|
||
|
|
overbrace: ['UnderOver','23DE',1],
|
||
|
|
underbrace: ['UnderOver','23DF',1],
|
||
|
|
overrightarrow: ['UnderOver','2192'],
|
||
|
|
underrightarrow: ['UnderOver','2192'],
|
||
|
|
overleftarrow: ['UnderOver','2190'],
|
||
|
|
underleftarrow: ['UnderOver','2190'],
|
||
|
|
overleftrightarrow: ['UnderOver','2194'],
|
||
|
|
underleftrightarrow: ['UnderOver','2194'],
|
||
|
|
|
||
|
|
overset: 'Overset',
|
||
|
|
underset: 'Underset',
|
||
|
|
stackrel: ['Macro','\\mathrel{\\mathop{#2}\\limits^{#1}}',2],
|
||
|
|
|
||
|
|
over: 'Over',
|
||
|
|
overwithdelims: 'Over',
|
||
|
|
atop: 'Over',
|
||
|
|
atopwithdelims: 'Over',
|
||
|
|
above: 'Over',
|
||
|
|
abovewithdelims: 'Over',
|
||
|
|
brace: ['Over','{','}'],
|
||
|
|
brack: ['Over','[',']'],
|
||
|
|
choose: ['Over','(',')'],
|
||
|
|
|
||
|
|
frac: 'Frac',
|
||
|
|
sqrt: 'Sqrt',
|
||
|
|
root: 'Root',
|
||
|
|
uproot: ['MoveRoot','upRoot'],
|
||
|
|
leftroot: ['MoveRoot','leftRoot'],
|
||
|
|
|
||
|
|
left: 'LeftRight',
|
||
|
|
right: 'LeftRight',
|
||
|
|
|
||
|
|
llap: 'Lap',
|
||
|
|
rlap: 'Lap',
|
||
|
|
raise: 'RaiseLower',
|
||
|
|
lower: 'RaiseLower',
|
||
|
|
moveleft: 'MoveLeftRight',
|
||
|
|
moveright: 'MoveLeftRight',
|
||
|
|
|
||
|
|
',': ['Spacer',MML.LENGTH.THINMATHSPACE],
|
||
|
|
':': ['Spacer',MML.LENGTH.THINMATHSPACE], // for LaTeX
|
||
|
|
'>': ['Spacer',MML.LENGTH.MEDIUMMATHSPACE],
|
||
|
|
';': ['Spacer',MML.LENGTH.THICKMATHSPACE],
|
||
|
|
'!': ['Spacer',MML.LENGTH.NEGATIVETHINMATHSPACE],
|
||
|
|
enspace: ['Spacer',".5em"],
|
||
|
|
quad: ['Spacer',"1em"],
|
||
|
|
qquad: ['Spacer',"2em"],
|
||
|
|
thinspace: ['Spacer',MML.LENGTH.THINMATHSPACE],
|
||
|
|
negthinspace: ['Spacer',MML.LENGTH.NEGATIVETHINMATHSPACE],
|
||
|
|
|
||
|
|
hskip: 'Hskip',
|
||
|
|
hspace: 'Hskip',
|
||
|
|
kern: 'Hskip',
|
||
|
|
mskip: 'Hskip',
|
||
|
|
mspace: 'Hskip',
|
||
|
|
mkern: 'Hskip',
|
||
|
|
Rule: ['Rule'],
|
||
|
|
Space: ['Rule','blank'],
|
||
|
|
|
||
|
|
big: ['MakeBig',MML.TEXCLASS.ORD,0.85],
|
||
|
|
Big: ['MakeBig',MML.TEXCLASS.ORD,1.15],
|
||
|
|
bigg: ['MakeBig',MML.TEXCLASS.ORD,1.45],
|
||
|
|
Bigg: ['MakeBig',MML.TEXCLASS.ORD,1.75],
|
||
|
|
bigl: ['MakeBig',MML.TEXCLASS.OPEN,0.85],
|
||
|
|
Bigl: ['MakeBig',MML.TEXCLASS.OPEN,1.15],
|
||
|
|
biggl: ['MakeBig',MML.TEXCLASS.OPEN,1.45],
|
||
|
|
Biggl: ['MakeBig',MML.TEXCLASS.OPEN,1.75],
|
||
|
|
bigr: ['MakeBig',MML.TEXCLASS.CLOSE,0.85],
|
||
|
|
Bigr: ['MakeBig',MML.TEXCLASS.CLOSE,1.15],
|
||
|
|
biggr: ['MakeBig',MML.TEXCLASS.CLOSE,1.45],
|
||
|
|
Biggr: ['MakeBig',MML.TEXCLASS.CLOSE,1.75],
|
||
|
|
bigm: ['MakeBig',MML.TEXCLASS.REL,0.85],
|
||
|
|
Bigm: ['MakeBig',MML.TEXCLASS.REL,1.15],
|
||
|
|
biggm: ['MakeBig',MML.TEXCLASS.REL,1.45],
|
||
|
|
Biggm: ['MakeBig',MML.TEXCLASS.REL,1.75],
|
||
|
|
|
||
|
|
mathord: ['TeXAtom',MML.TEXCLASS.ORD],
|
||
|
|
mathop: ['TeXAtom',MML.TEXCLASS.OP],
|
||
|
|
mathopen: ['TeXAtom',MML.TEXCLASS.OPEN],
|
||
|
|
mathclose: ['TeXAtom',MML.TEXCLASS.CLOSE],
|
||
|
|
mathbin: ['TeXAtom',MML.TEXCLASS.BIN],
|
||
|
|
mathrel: ['TeXAtom',MML.TEXCLASS.REL],
|
||
|
|
mathpunct: ['TeXAtom',MML.TEXCLASS.PUNCT],
|
||
|
|
mathinner: ['TeXAtom',MML.TEXCLASS.INNER],
|
||
|
|
|
||
|
|
vcenter: ['TeXAtom',MML.TEXCLASS.VCENTER],
|
||
|
|
|
||
|
|
mathchoice: ['Extension','mathchoice'],
|
||
|
|
buildrel: 'BuildRel',
|
||
|
|
|
||
|
|
hbox: ['HBox',0],
|
||
|
|
text: 'HBox',
|
||
|
|
mbox: ['HBox',0],
|
||
|
|
fbox: 'FBox',
|
||
|
|
|
||
|
|
strut: 'Strut',
|
||
|
|
mathstrut: ['Macro','\\vphantom{(}'],
|
||
|
|
phantom: 'Phantom',
|
||
|
|
vphantom: ['Phantom',1,0],
|
||
|
|
hphantom: ['Phantom',0,1],
|
||
|
|
smash: 'Smash',
|
||
|
|
|
||
|
|
acute: ['Accent', "02CA"], // or 0301
|
||
|
|
grave: ['Accent', "02CB"], // or 0300
|
||
|
|
ddot: ['Accent', "00A8"], // or 0308
|
||
|
|
tilde: ['Accent', "02DC"], // or 0303
|
||
|
|
bar: ['Accent', "02C9"], // or 0304
|
||
|
|
breve: ['Accent', "02D8"], // or 0306
|
||
|
|
check: ['Accent', "02C7"], // or 030C
|
||
|
|
hat: ['Accent', "02C6"], // or 0302
|
||
|
|
vec: ['Accent', "20D7"],
|
||
|
|
dot: ['Accent', "02D9"], // or 0307
|
||
|
|
widetilde: ['Accent', "02DC",1], // or 0303
|
||
|
|
widehat: ['Accent', "02C6",1], // or 0302
|
||
|
|
|
||
|
|
matrix: 'Matrix',
|
||
|
|
array: 'Matrix',
|
||
|
|
pmatrix: ['Matrix','(',')'],
|
||
|
|
cases: ['Matrix','{','',"left left",null,".1em"],
|
||
|
|
eqalign: ['Matrix',null,null,"right left",MML.LENGTH.THICKMATHSPACE,".5em",'D'],
|
||
|
|
displaylines: ['Matrix',null,null,"center",null,".5em",'D'],
|
||
|
|
cr: 'Cr',
|
||
|
|
'\\': 'Cr',
|
||
|
|
newline: 'Cr',
|
||
|
|
hline: ['HLine','solid'],
|
||
|
|
hdashline: ['HLine','dashed'],
|
||
|
|
// noalign: 'HandleNoAlign',
|
||
|
|
eqalignno: ['Matrix',null,null,"right left right",MML.LENGTH.THICKMATHSPACE+" 3em",".5em",'D'],
|
||
|
|
leqalignno: ['Matrix',null,null,"right left right",MML.LENGTH.THICKMATHSPACE+" 3em",".5em",'D'],
|
||
|
|
|
||
|
|
// TeX substitution macros
|
||
|
|
bmod: ['Macro','\\mathbin{\\rm mod}'],
|
||
|
|
pmod: ['Macro','\\pod{{\\rm mod}\\kern 6mu #1}',1],
|
||
|
|
mod: ['Macro','\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}{\\rm mod}\\,\\,#1',1],
|
||
|
|
pod: ['Macro','\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)',1],
|
||
|
|
iff: ['Macro','\\;\\Longleftrightarrow\\;'],
|
||
|
|
skew: ['Macro','{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}',3],
|
||
|
|
mathcal: ['Macro','{\\cal #1}',1],
|
||
|
|
mathscr: ['Macro','{\\scr #1}',1],
|
||
|
|
mathrm: ['Macro','{\\rm #1}',1],
|
||
|
|
mathbf: ['Macro','{\\bf #1}',1],
|
||
|
|
mathbb: ['Macro','{\\bbFont #1}',1],
|
||
|
|
Bbb: ['Macro','{\\bbFont #1}',1],
|
||
|
|
mathit: ['Macro','{\\it #1}',1],
|
||
|
|
mathfrak: ['Macro','{\\frak #1}',1],
|
||
|
|
mathsf: ['Macro','{\\sf #1}',1],
|
||
|
|
mathtt: ['Macro','{\\tt #1}',1],
|
||
|
|
textrm: ['Macro','\\mathord{\\rm\\text{#1}}',1],
|
||
|
|
textit: ['Macro','\\mathord{\\it{\\text{#1}}}',1],
|
||
|
|
textbf: ['Macro','\\mathord{\\bf{\\text{#1}}}',1],
|
||
|
|
pmb: ['Macro','\\rlap{#1}\\kern1px{#1}',1],
|
||
|
|
TeX: ['Macro','T\\kern-.14em\\lower.5ex{E}\\kern-.115em X'],
|
||
|
|
LaTeX: ['Macro','L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX'],
|
||
|
|
not: ['Macro','\\mathrel{\\rlap{\\kern.5em\\notChar}}'],
|
||
|
|
' ': ['Macro','\\text{ }'],
|
||
|
|
space: 'Tilde',
|
||
|
|
|
||
|
|
|
||
|
|
// LaTeX
|
||
|
|
begin: 'Begin',
|
||
|
|
end: 'End',
|
||
|
|
|
||
|
|
newcommand: ['Extension','newcommand'],
|
||
|
|
renewcommand: ['Extension','newcommand'],
|
||
|
|
newenvironment: ['Extension','newcommand'],
|
||
|
|
def: ['Extension','newcommand'],
|
||
|
|
|
||
|
|
verb: ['Extension','verb'],
|
||
|
|
|
||
|
|
boldsymbol: ['Extension','boldsymbol'],
|
||
|
|
|
||
|
|
tag: ['Extension','AMSmath'],
|
||
|
|
notag: ['Extension','AMSmath'],
|
||
|
|
label: ['Macro','',1], // not implemented yet
|
||
|
|
nonumber: ['Macro',''], // not implemented yet
|
||
|
|
|
||
|
|
// Extensions to TeX
|
||
|
|
unicode: ['Extension','unicode'],
|
||
|
|
color: 'Color',
|
||
|
|
|
||
|
|
href: ['Extension','HTML'],
|
||
|
|
'class': ['Extension','HTML'],
|
||
|
|
style: ['Extension','HTML'],
|
||
|
|
cssId: ['Extension','HTML'],
|
||
|
|
// bbox: ['Extension','bbox'],
|
||
|
|
|
||
|
|
require: 'Require'
|
||
|
|
|
||
|
|
},
|
||
|
|
|
||
|
|
environment: {
|
||
|
|
array: ['Array'],
|
||
|
|
matrix: ['Array',null,null,null,'c'],
|
||
|
|
pmatrix: ['Array',null,'(',')','c'],
|
||
|
|
bmatrix: ['Array',null,'[',']','c'],
|
||
|
|
Bmatrix: ['Array',null,'\\{','\\}','c'],
|
||
|
|
vmatrix: ['Array',null,'\\vert','\\vert','c'],
|
||
|
|
Vmatrix: ['Array',null,'\\Vert','\\Vert','c'],
|
||
|
|
cases: ['Array',null,'\\{','.','ll',null,".1em"],
|
||
|
|
eqnarray: ['Array',null,null,null,'rcl',MML.LENGTH.THICKMATHSPACE,".5em",'D'],
|
||
|
|
'eqnarray*': ['Array',null,null,null,'rcl',MML.LENGTH.THICKMATHSPACE,".5em",'D'],
|
||
|
|
|
||
|
|
equation: [null,'Equation'],
|
||
|
|
'equation*': [null,'Equation'],
|
||
|
|
|
||
|
|
align: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
'align*': ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
aligned: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
multline: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
'multline*': ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
split: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
gather: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
'gather*': ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
gathered: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
alignat: ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
'alignat*': ['ExtensionEnv',null,'AMSmath'],
|
||
|
|
alignedat: ['ExtensionEnv',null,'AMSmath']
|
||
|
|
},
|
||
|
|
|
||
|
|
p_height: 1.2 / .85 // cmex10 height plus depth over .85
|
||
|
|
|
||
|
|
});
|
||
|
|
|
||
|
|
//
|
||
|
|
// Add macros defined in the configuration
|
||
|
|
//
|
||
|
|
if (this.config.Macros) {
|
||
|
|
var MACROS = this.config.Macros;
|
||
|
|
for (var id in MACROS) {if (MACROS.hasOwnProperty(id)) {
|
||
|
|
if (typeof(MACROS[id]) === "string") {TEXDEF.macros[id] = ['Macro',MACROS[id]]}
|
||
|
|
else {TEXDEF.macros[id] = ["Macro"].concat(MACROS[id])}
|
||
|
|
}}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/************************************************************************/
|
||
|
|
/*
|
||
|
|
* The TeX Parser
|
||
|
|
*/
|
||
|
|
|
||
|
|
var PARSE = MathJax.Object.Subclass({
|
||
|
|
Init: function (string,env) {
|
||
|
|
this.string = string; this.i = 0; this.macroCount = 0;
|
||
|
|
var ENV; if (env) {ENV = {}; for (var id in env) {if (env.hasOwnProperty(id)) {ENV[id] = env[id]}}}
|
||
|
|
this.stack = TEX.Stack(ENV);
|
||
|
|
this.Parse();
|
||
|
|
this.Push(STACKITEM.stop());
|
||
|
|
},
|
||
|
|
Parse: function () {
|
||
|
|
var c;
|
||
|
|
while (this.i < this.string.length) {
|
||
|
|
c = this.string.charAt(this.i++);
|
||
|
|
if (TEXDEF.special[c]) {this[TEXDEF.special[c]](c)}
|
||
|
|
else if (TEXDEF.letter.test(c)) {this.Variable(c)}
|
||
|
|
else if (TEXDEF.digit.test(c)) {this.Number(c)}
|
||
|
|
else {this.Other(c)}
|
||
|
|
}
|
||
|
|
},
|
||
|
|
Push: function () {this.stack.Push.apply(this.stack,arguments)},
|
||
|
|
mml: function () {
|
||
|
|
if (this.stack.Top().type !== "mml") {return null}
|
||
|
|
return this.stack.Top().data[0];
|
||
|
|
},
|
||
|
|
mmlToken: function (token) {return token}, // used by boldsymbol extension
|
||
|
|
|
||
|
|
/************************************************************************/
|
||
|
|
/*
|
||
|
|
* Handle various token classes
|
||
|
|
*/
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Lookup a control-sequence and process it
|
||
|
|
*/
|
||
|
|
ControlSequence: function (c) {
|
||
|
|
var name = this.GetCS(), mchar, def;
|
||
|
|
if (TEXDEF.macros[name]) { // javascript macro
|
||
|
|
var macro = TEXDEF.macros[name];
|
||
|
|
if (!(macro instanceof Array)) {macro = [macro]}
|
||
|
|
var fn = macro[0]; if (!(fn instanceof Function)) {fn = this[fn]}
|
||
|
|
fn.apply(this,["\\"+name].concat(macro.slice(1)));
|
||
|
|
} else if (TEXDEF.mathchar0mi[name]) { // normal mathchar (mi)
|
||
|
|
mchar = TEXDEF.mathchar0mi[name]; def = {mathvariant: MML.VARIANT.ITALIC};
|
||
|
|
if (mchar instanceof Array) {def = mchar[1]; mchar = mchar[0]}
|
||
|
|
this.Push(this.mmlToken(MML.mi(MML.entity("#x"+mchar)).With(def)));
|
||
|
|
} else if (TEXDEF.mathchar0mo[name]) { // normal mathchar (mo)
|
||
|
|
mchar = TEXDEF.mathchar0mo[name]; def = {stretchy: FALSE};
|
||
|
|
if (mchar instanceof Array) {def = mchar[1]; def.stretchy = FALSE; mchar = mchar[0]}
|
||
|
|
this.Push(this.mmlToken(MML.mo(MML.entity("#x"+mchar)).With(def)));
|
||
|
|
} else if (TEXDEF.mathchar7[name]) { // mathchar in current family
|
||
|
|
mchar = TEXDEF.mathchar7[name]; def = {mathvariant: MML.VARIANT.NORMAL};
|
||
|
|
if (mchar instanceof Array) {def = mchar[1]; mchar = mchar[0]}
|
||
|
|
if (this.stack.env.font) {def.mathvariant = this.stack.env.font}
|
||
|
|
this.Push(this.mmlToken(MML.mi(MML.entity("#x"+mchar)).With(def)));
|
||
|
|
} else if (TEXDEF.delimiter["\\"+name] != null) { // delimiter
|
||
|
|
var delim = TEXDEF.delimiter["\\"+name]; def = {};
|
||
|
|
if (delim instanceof Array) {def = delim[1]; delim = delim[0]}
|
||
|
|
if (delim.length === 4) {delim = MML.entity('#x'+delim)} else {delim = MML.chars(delim)}
|
||
|
|
this.Push(this.mmlToken(MML.mo(delim).With({fence: FALSE, stretchy: FALSE}).With(def)));
|
||
|
|
} else { // error
|
||
|
|
this.csUndefined("\\"+name);
|
||
|
|
}
|
||
|
|
},
|
||
|
|
csUndefined: function (name) {
|
||
|
|
TEX.Error("Undefined control sequence "+name);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle a variable (a single letter)
|
||
|
|
*/
|
||
|
|
Variable: function (c) {
|
||
|
|
var def = {}; if (this.stack.env.font) {def.mathvariant = this.stack.env.font}
|
||
|
|
this.Push(this.mmlToken(MML.mi(MML.chars(c)).With(def)));
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Determine the extent of a number (pattern may need work)
|
||
|
|
*/
|
||
|
|
Number: function (c) {
|
||
|
|
var mml, n = this.string.slice(this.i-1).match(TEXDEF.number);
|
||
|
|
if (n) {mml = MML.mn(n[0].replace(/[{}]/g,"")); this.i += n[0].length - 1}
|
||
|
|
else {mml = MML.mo(MML.chars(c))}
|
||
|
|
if (this.stack.env.font) {mml.mathvariant = this.stack.env.font}
|
||
|
|
this.Push(this.mmlToken(mml));
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle { and }
|
||
|
|
*/
|
||
|
|
Open: function (c) {this.Push(STACKITEM.open())},
|
||
|
|
Close: function (c) {this.Push(STACKITEM.close())},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle tilde and spaces
|
||
|
|
*/
|
||
|
|
Tilde: function (c) {this.Push(MML.mtext(MML.chars(NBSP)))},
|
||
|
|
Space: function (c) {},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle ^, _, and '
|
||
|
|
*/
|
||
|
|
Superscript: function (c) {
|
||
|
|
var position, base = this.stack.Prev(); if (!base) {base = MML.mi("")}
|
||
|
|
if (base.isEmbellishedWrapper) {base = base.data[0].data[0]}
|
||
|
|
if (base.type === "msubsup") {
|
||
|
|
if (base.data[base.sup]) {
|
||
|
|
if (!base.data[base.sup].isPrime) {TEX.Error("Double exponent: use braces to clarify")}
|
||
|
|
base = MML.msubsup(base,null,null);
|
||
|
|
}
|
||
|
|
position = base.sup;
|
||
|
|
} else if (base.movesupsub) {
|
||
|
|
if (base.type !== "munderover" || base.data[base.over])
|
||
|
|
{base = MML.munderover(base,null,null).With({movesupsub:TRUE})}
|
||
|
|
position = base.over;
|
||
|
|
} else {
|
||
|
|
base = MML.msubsup(base,null,null);
|
||
|
|
position = base.sup;
|
||
|
|
}
|
||
|
|
this.Push(STACKITEM.subsup(base).With({position: position}));
|
||
|
|
},
|
||
|
|
Subscript: function (c) {
|
||
|
|
var position, base = this.stack.Prev(); if (!base) {base = MML.mi("")}
|
||
|
|
if (base.isEmbellishedWrapper) {base = base.data[0].data[0]}
|
||
|
|
if (base.type === "msubsup") {
|
||
|
|
if (base.data[base.sub]) {TEX.Error("Double subscripts: use braces to clarify")}
|
||
|
|
position = base.sub;
|
||
|
|
} else if (base.movesupsub) {
|
||
|
|
if (base.type !== "munderover" || base.data[base.under])
|
||
|
|
{base = MML.munderover(base,null,null).With({movesupsub:TRUE})}
|
||
|
|
position = base.under;
|
||
|
|
} else {
|
||
|
|
base = MML.msubsup(base,null,null);
|
||
|
|
position = base.sub;
|
||
|
|
}
|
||
|
|
this.Push(STACKITEM.subsup(base).With({position: position}));
|
||
|
|
},
|
||
|
|
PRIME: String.fromCharCode(0x2032), SMARTQUOTE: String.fromCharCode(0x2019),
|
||
|
|
Prime: function (c) {
|
||
|
|
var base = this.stack.Prev(); if (!base) {base = MML.mi()}
|
||
|
|
if (base.type === "msubsup" && base.data[base.sup])
|
||
|
|
{TEX.Error("Prime causes double exponent: use braces to clarify")}
|
||
|
|
var sup = ""; this.i--;
|
||
|
|
do {sup += this.PRIME; this.i++, c = this.GetNext()}
|
||
|
|
while (c === "'" || c === this.SMARTQUOTE);
|
||
|
|
sup = this.mmlToken(MML.mo(MML.chars(sup)).With({isPrime: TRUE, variantForm: TEX.isSTIX}));
|
||
|
|
this.Push(MML.msubsup(base,null,sup));
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle comments
|
||
|
|
*/
|
||
|
|
Comment: function (c) {
|
||
|
|
while (this.i < this.string.length && this.string.charAt(this.i) != "\n") {this.i++}
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle hash marks outside of definitions
|
||
|
|
*/
|
||
|
|
Hash: function (c) {
|
||
|
|
TEX.Error("You can't use 'macro parameter character #' in math mode");
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Handle other characters (as <mo> elements)
|
||
|
|
*/
|
||
|
|
Other: function (c) {
|
||
|
|
var def = {stretchy: false}, mo;
|
||
|
|
if (this.stack.env.font) {def.mathvariant = this.stack.env.font}
|
||
|
|
if (TEXDEF.remap[c]) {
|
||
|
|
c = TEXDEF.remap[c];
|
||
|
|
if (c instanceof Array) {def = c[1]; c = c[0]}
|
||
|
|
mo = MML.mo(MML.entity('#x'+c));
|
||
|
|
} else {
|
||
|
|
mo = MML.mo(c);
|
||
|
|
}
|
||
|
|
if (mo.autoDefault("texClass",true) == "") {mo = MML.TeXAtom(mo)}
|
||
|
|
this.Push(this.mmlToken(mo.With(def)));
|
||
|
|
},
|
||
|
|
|
||
|
|
/************************************************************************/
|
||
|
|
/*
|
||
|
|
* Macros
|
||
|
|
*/
|
||
|
|
|
||
|
|
SetFont: function (name,font) {this.stack.env.font = font},
|
||
|
|
SetStyle: function (name,texStyle,style,level) {
|
||
|
|
this.stack.env.style = texStyle; this.stack.env.level = level;
|
||
|
|
this.Push(STACKITEM.style().With({styles: {displaystyle: style, scriptlevel: level}}));
|
||
|
|
},
|
||
|
|
SetSize: function (name,size) {
|
||
|
|
this.stack.env.size = size;
|
||
|
|
this.Push(STACKITEM.style().With({styles: {mathsize: size+"em"}})); // convert to absolute?
|
||
|
|
},
|
||
|
|
|
||
|
|
Color: function (name) {
|
||
|
|
var color = this.GetArgument(name);
|
||
|
|
var old = this.stack.env.color; this.stack.env.color = color;
|
||
|
|
var math = this.ParseArg(name);
|
||
|
|
if (old) {this.stack.env.color} else {delete this.stack.env.color}
|
||
|
|
this.Push(MML.mstyle(math).With({mathcolor: color}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Spacer: function (name,space) {
|
||
|
|
this.Push(MML.mspace().With({width: space, mathsize: MML.SIZE.NORMAL, scriptlevel:1}));
|
||
|
|
},
|
||
|
|
|
||
|
|
LeftRight: function (name) {
|
||
|
|
this.Push(STACKITEM[name.substr(1)]().With({delim: this.GetDelimiter(name)}));
|
||
|
|
},
|
||
|
|
|
||
|
|
NamedOp: function (name,limits,id) {
|
||
|
|
var underover = (limits != null && limits === 0 ? FALSE : TRUE);
|
||
|
|
if (!id) {id = name.substr(1)}; limits = ((limits || limits == null) ? TRUE : FALSE);
|
||
|
|
id = id.replace(/ /,String.fromCharCode(0x2006));
|
||
|
|
var mml = MML.mo(id).With({
|
||
|
|
movablelimits: limits,
|
||
|
|
movesupsub: underover,
|
||
|
|
form: MML.FORM.PREFIX,
|
||
|
|
texClass: MML.TEXCLASS.OP
|
||
|
|
});
|
||
|
|
mml.useMMLspacing &= ~mml.SPACE_ATTR.form; // don't count this explicit form setting
|
||
|
|
this.Push(this.mmlToken(mml));
|
||
|
|
},
|
||
|
|
Limits: function (name,limits) {
|
||
|
|
var op = this.stack.Prev("nopop");
|
||
|
|
if (op.texClass !== MML.TEXCLASS.OP) {TEX.Error(name+" is allowed only on operators")}
|
||
|
|
op.movesupsub = (limits ? TRUE : FALSE);
|
||
|
|
op.movablelimits = FALSE;
|
||
|
|
},
|
||
|
|
|
||
|
|
Over: function (name,open,close) {
|
||
|
|
var mml = STACKITEM.over().With({name: name});
|
||
|
|
if (open || close) {
|
||
|
|
mml.open = open; mml.close = close;
|
||
|
|
} else if (name.match(/withdelims$/)) {
|
||
|
|
mml.open = this.GetDelimiter(name);
|
||
|
|
mml.close = this.GetDelimiter(name);
|
||
|
|
}
|
||
|
|
if (name.match(/^\\above/)) {mml.thickness = this.GetDimen(name)}
|
||
|
|
else if (name.match(/^\\atop/) || open || close) {mml.thickness = 0}
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
|
||
|
|
Frac: function (name) {
|
||
|
|
var num = this.ParseArg(name);
|
||
|
|
var den = this.ParseArg(name);
|
||
|
|
this.Push(MML.mfrac(num,den));
|
||
|
|
},
|
||
|
|
|
||
|
|
Sqrt: function (name) {
|
||
|
|
var n = this.GetBrackets(name), mml = this.ParseArg(name);
|
||
|
|
if (n == "") {mml = MML.msqrt.apply(MML,mml.array())}
|
||
|
|
else {mml = MML.mroot(mml,this.parseRoot(n))}
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
Root: function (name) {
|
||
|
|
var n = this.GetUpTo(name,"\\of");
|
||
|
|
var arg = this.ParseArg(name);
|
||
|
|
this.Push(MML.mroot(arg,this.parseRoot(n)));
|
||
|
|
},
|
||
|
|
parseRoot: function (n) {
|
||
|
|
var env = this.stack.env, inRoot = env.inRoot; env.inRoot = true;
|
||
|
|
var parser = TEX.Parse(n,env); n = parser.mml(); var global = parser.stack.global;
|
||
|
|
if (global.leftRoot || global.upRoot) {
|
||
|
|
n = MML.mpadded(n);
|
||
|
|
if (global.leftRoot) {n.width = global.leftRoot}
|
||
|
|
if (global.upRoot) {n.voffset = global.upRoot; n.height = global.upRoot}
|
||
|
|
}
|
||
|
|
env.inRoot = inRoot;
|
||
|
|
return n;
|
||
|
|
},
|
||
|
|
MoveRoot: function (name,id) {
|
||
|
|
if (!this.stack.env.inRoot) TEX.Error(name+" can appear only within a root");
|
||
|
|
if (this.stack.global[id]) TEX.Error("Multiple use of "+name);
|
||
|
|
var n = this.GetArgument(name);
|
||
|
|
if (!n.match(/-?[0-9]+/)) TEX.Error("The argument to "+name+" must be an integer");
|
||
|
|
n = (n/15)+"em";
|
||
|
|
if (n.substr(0,1) !== "-") {n = "+"+n}
|
||
|
|
this.stack.global[id] = n;
|
||
|
|
},
|
||
|
|
|
||
|
|
Accent: function (name,accent,stretchy) {
|
||
|
|
var c = this.ParseArg(name);
|
||
|
|
var def = {accent: true}; if (this.stack.env.font) {def.mathvariant = this.stack.env.font}
|
||
|
|
var mml = this.mmlToken(MML.mo(MML.entity("#x"+accent)).With(def));
|
||
|
|
mml.stretchy = (stretchy ? TRUE : FALSE);
|
||
|
|
this.Push(MML.munderover(c,null,mml).With({accent: TRUE}));
|
||
|
|
},
|
||
|
|
|
||
|
|
UnderOver: function (name,c,stack) {
|
||
|
|
var pos = {o: "over", u: "under"}[name.charAt(1)];
|
||
|
|
var base = this.ParseArg(name);
|
||
|
|
if (base.Get("movablelimits")) {base.movablelimits = false}
|
||
|
|
var mml = MML.munderover(base,null,null);
|
||
|
|
if (stack) {mml.movesupsub = TRUE}
|
||
|
|
mml.data[mml[pos]] =
|
||
|
|
this.mmlToken(MML.mo(MML.entity("#x"+c)).With({stretchy: TRUE, accent: (pos == "under")}));
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
|
||
|
|
Overset: function (name) {
|
||
|
|
var top = this.ParseArg(name), base = this.ParseArg(name);
|
||
|
|
this.Push(MML.munderover(base,null,top));
|
||
|
|
},
|
||
|
|
Underset: function (name) {
|
||
|
|
var bot = this.ParseArg(name), base = this.ParseArg(name);
|
||
|
|
this.Push(MML.munderover(base,bot,null));
|
||
|
|
},
|
||
|
|
|
||
|
|
TeXAtom: function (name,mclass) {
|
||
|
|
var def = {texClass: mclass}, mml;
|
||
|
|
if (mclass == MML.TEXCLASS.OP) {
|
||
|
|
def.movesupsub = def.movablelimits = TRUE;
|
||
|
|
var arg = this.GetArgument(name);
|
||
|
|
var match = arg.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);
|
||
|
|
if (match) {
|
||
|
|
mml = this.mmlToken(MML.mo(match[1]).With({
|
||
|
|
movablelimits: TRUE, movesupsub: TRUE,
|
||
|
|
mathvariant: MML.VARIANT.NORMAL,
|
||
|
|
form: MML.FORM.PREFIX,
|
||
|
|
texClass: MML.TEXCLASS.OP
|
||
|
|
}));
|
||
|
|
mml.useMMLspacing &= ~mml.SPACE_ATTR.form; // don't count this explicit form setting
|
||
|
|
} else {mml = MML.TeXAtom(TEX.Parse(arg,this.stack.env).mml()).With(def)}
|
||
|
|
} else {mml = MML.TeXAtom(this.ParseArg(name)).With(def)}
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
|
||
|
|
Strut: function (name) {
|
||
|
|
this.Push(MML.mpadded(MML.mrow()).With({height: "8.6pt", depth: "3pt", width: 0}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Phantom: function (name,v,h) {
|
||
|
|
var box = MML.mphantom(this.ParseArg(name));
|
||
|
|
if (v || h) {
|
||
|
|
box = MML.mpadded(box);
|
||
|
|
if (h) {box.height = box.depth = 0}
|
||
|
|
if (v) {box.width = 0}
|
||
|
|
}
|
||
|
|
this.Push(box);
|
||
|
|
},
|
||
|
|
|
||
|
|
Smash: function (name) {
|
||
|
|
var bt = this.trimSpaces(this.GetBrackets(name));
|
||
|
|
var smash = MML.mpadded(this.ParseArg(name));
|
||
|
|
switch (bt) {
|
||
|
|
case "b": smash.depth = 0; break;
|
||
|
|
case "t": smash.height = 0; break;
|
||
|
|
default: smash.height = smash.depth = 0;
|
||
|
|
}
|
||
|
|
this.Push(smash);
|
||
|
|
},
|
||
|
|
|
||
|
|
Lap: function (name) {
|
||
|
|
var mml = MML.mpadded(this.ParseArg(name)).With({width: 0});
|
||
|
|
if (name === "\\llap") {mml.lspace = "-1 width"}
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
|
||
|
|
RaiseLower: function (name) {
|
||
|
|
var h = this.GetDimen(name);
|
||
|
|
var item = STACKITEM.position().With({name: name, move: 'vertical'});
|
||
|
|
if (h.charAt(0) === '-') {h = h.slice(1); name = {raise: "\\lower", lower: "\\raise"}[name.substr(1)]}
|
||
|
|
if (name === "\\lower") {item.dh = '-'+h; item.dd = '+'+h} else {item.dh = '+'+h; item.dd = '-'+h}
|
||
|
|
this.Push(item);
|
||
|
|
},
|
||
|
|
|
||
|
|
MoveLeftRight: function (name) {
|
||
|
|
var h = this.GetDimen(name);
|
||
|
|
var nh = (h.charAt(0) === '-' ? h.slice(1) : '-'+h);
|
||
|
|
if (name === "\\moveleft") {var tmp = h; h = nh; nh = tmp}
|
||
|
|
this.Push(STACKITEM.position().With({
|
||
|
|
name: name, move: 'horizontal',
|
||
|
|
left: MML.mspace().With({width: h, mathsize: MML.SIZE.NORMAL, scriptlevel:1}),
|
||
|
|
right: MML.mspace().With({width: nh, mathsize: MML.SIZE.NORMAL, scriptlevel:1})
|
||
|
|
}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Hskip: function (name) {
|
||
|
|
this.Push(MML.mspace().With({
|
||
|
|
width: this.GetDimen(name), mathsize: MML.SIZE.NORMAL, scriptlevel:0
|
||
|
|
}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Rule: function (name,style) {
|
||
|
|
var w = this.GetDimen(name),
|
||
|
|
h = this.GetDimen(name),
|
||
|
|
d = this.GetDimen(name);
|
||
|
|
var mml, def = {width:w, height:h, depth:d};
|
||
|
|
if (style !== 'blank') {
|
||
|
|
mml = MML.mpadded(MML.mrow()).With(def);
|
||
|
|
if (parseFloat(w) && parseFloat(h)+parseFloat(d))
|
||
|
|
{mml = MML.mstyle(mml).With({mathbackground:(this.stack.env.color || "black")})}
|
||
|
|
} else {
|
||
|
|
mml = MML.mspace().With(def);
|
||
|
|
}
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
|
||
|
|
MakeBig: function (name,mclass,size) {
|
||
|
|
size *= TEXDEF.p_height;
|
||
|
|
size = String(size).replace(/(\.\d\d\d).+/,'$1')+"em";
|
||
|
|
var delim = this.GetDelimiter(name);
|
||
|
|
this.Push(MML.TeXAtom(MML.mo(delim).With({
|
||
|
|
minsize: size, maxsize: size, scriptlevel: 0,
|
||
|
|
fence: TRUE, stretchy: TRUE, symmetric: TRUE
|
||
|
|
})).With({texClass: mclass}));
|
||
|
|
},
|
||
|
|
|
||
|
|
BuildRel: function (name) {
|
||
|
|
var top = this.ParseUpTo(name,"\\over");
|
||
|
|
var bot = this.ParseArg(name);
|
||
|
|
this.Push(MML.TeXAtom(MML.munderover(bot,null,top)).With({mclass: MML.TEXCLASS.REL}));
|
||
|
|
},
|
||
|
|
|
||
|
|
HBox: function (name,style) {
|
||
|
|
this.Push.apply(this,this.InternalMath(this.GetArgument(name),style));
|
||
|
|
},
|
||
|
|
|
||
|
|
FBox: function (name) {
|
||
|
|
this.Push(MML.menclose.apply(MML,this.InternalMath(this.GetArgument(name))).With({notation:"box"}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Require: function (name) {
|
||
|
|
var file = this.GetArgument(name); // @@@ FIXME: check for OK URL
|
||
|
|
this.Extension(null,file);
|
||
|
|
},
|
||
|
|
|
||
|
|
Extension: function (name,file,array) {
|
||
|
|
if (name && !typeof(name) === "string") {name = name.name}
|
||
|
|
file = TEX.extensionDir+"/"+file;
|
||
|
|
if (!file.match(/\.js$/)) {file += ".js"}
|
||
|
|
if (!MathJax.Ajax.loaded[MathJax.Ajax.fileURL(file)]) {
|
||
|
|
if (name != null) {delete TEXDEF[array || 'macros'][name.replace(/^\\/,"")]}
|
||
|
|
MathJax.Hub.RestartAfter(MathJax.Ajax.Require(file));
|
||
|
|
}
|
||
|
|
},
|
||
|
|
|
||
|
|
Macro: function (name,macro,argcount) {
|
||
|
|
if (argcount) {
|
||
|
|
var args = [];
|
||
|
|
for (var i = 0; i < argcount; i++) {args.push(this.GetArgument(name))}
|
||
|
|
macro = this.SubstituteArgs(args,macro);
|
||
|
|
}
|
||
|
|
this.string = this.AddArgs(macro,this.string.slice(this.i));
|
||
|
|
this.i = 0;
|
||
|
|
if (++this.macroCount > TEX.config.MAXMACROS)
|
||
|
|
{TEX.Error("MathJax maximum macro substitution count exceeded; is there a recursive macro call?")}
|
||
|
|
},
|
||
|
|
|
||
|
|
Matrix: function (name,open,close,align,spacing,vspacing,style) {
|
||
|
|
var c = this.GetNext(); if (c === "") {TEX.Error("Missing argument for "+name)}
|
||
|
|
if (c === "{") {this.i++} else {this.string = c+"}"+this.string.slice(this.i+1); this.i = 0}
|
||
|
|
var array = STACKITEM.array().With({
|
||
|
|
requireClose: TRUE,
|
||
|
|
arraydef: {
|
||
|
|
rowspacing: (vspacing||"4pt"),
|
||
|
|
columnspacing: (spacing||"1em")
|
||
|
|
}
|
||
|
|
});
|
||
|
|
if (open || close) {array.open = open; array.close = close}
|
||
|
|
if (style === "D") {array.arraydef.displaystyle = TRUE}
|
||
|
|
if (align != null) {array.arraydef.columnalign = align}
|
||
|
|
this.Push(array);
|
||
|
|
},
|
||
|
|
|
||
|
|
Entry: function (name) {
|
||
|
|
this.Push(STACKITEM.cell().With({isEntry: TRUE, name: name}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Cr: function (name) {
|
||
|
|
this.Push(STACKITEM.cell().With({isCR: TRUE, name: name}));
|
||
|
|
},
|
||
|
|
|
||
|
|
HLine: function (name,style) {
|
||
|
|
if (style == null) {style = "solid"}
|
||
|
|
var top = this.stack.Top();
|
||
|
|
if (top.type !== "array" || top.data.length) {TEX.Error("Misplaced "+name)}
|
||
|
|
if (top.table.length == 0) {
|
||
|
|
top.arraydef.frame = style;
|
||
|
|
} else {
|
||
|
|
var lines = (top.arraydef.rowlines ? top.arraydef.rowlines.split(/ /) : []);
|
||
|
|
while (lines.length < top.table.length) {lines.push("none")}
|
||
|
|
lines[top.table.length-1] = style;
|
||
|
|
top.arraydef.rowlines = lines.join(' ');
|
||
|
|
}
|
||
|
|
},
|
||
|
|
|
||
|
|
/************************************************************************/
|
||
|
|
/*
|
||
|
|
* LaTeX environments
|
||
|
|
*/
|
||
|
|
|
||
|
|
Begin: function (name) {
|
||
|
|
var env = this.GetArgument(name);
|
||
|
|
if (env.match(/[^a-z*]/i)) {TEX.Error('Invalid environment name "'+env+'"')}
|
||
|
|
if (!TEXDEF.environment[env]) {TEX.Error('Unknown environment "'+env+'"')}
|
||
|
|
if (++this.macroCount > TEX.config.MAXMACROS)
|
||
|
|
{TEX.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")}
|
||
|
|
var cmd = TEXDEF.environment[env]; if (!(cmd instanceof Array)) {cmd = [cmd]}
|
||
|
|
var mml = STACKITEM.begin().With({name: env, end: cmd[1], parse:this});
|
||
|
|
if (cmd[0] && this[cmd[0]]) {mml = this[cmd[0]].apply(this,[mml].concat(cmd.slice(2)))}
|
||
|
|
this.Push(mml);
|
||
|
|
},
|
||
|
|
End: function (name) {
|
||
|
|
this.Push(STACKITEM.end().With({name: this.GetArgument(name)}));
|
||
|
|
},
|
||
|
|
|
||
|
|
Equation: function (begin,row) {return row},
|
||
|
|
|
||
|
|
ExtensionEnv: function (begin,file) {this.Extension(begin.name,file,"environment")},
|
||
|
|
|
||
|
|
Array: function (begin,open,close,align,spacing,vspacing,style,raggedHeight) {
|
||
|
|
if (!align) {align = this.GetArgument("\\begin{"+begin.name+"}")}
|
||
|
|
var lines = ("c"+align).replace(/[^clr|:]/g,'').replace(/[^|:]([|:])+/g,'$1');
|
||
|
|
align = align.replace(/[^clr]/g,'').split('').join(' ');
|
||
|
|
align = align.replace(/l/g,'left').replace(/r/g,'right').replace(/c/g,'center');
|
||
|
|
var array = STACKITEM.array().With({
|
||
|
|
arraydef: {
|
||
|
|
columnalign: align,
|
||
|
|
columnspacing: (spacing||"1em"),
|
||
|
|
rowspacing: (vspacing||"4pt")
|
||
|
|
}
|
||
|
|
});
|
||
|
|
if (lines.match(/[|:]/)) {
|
||
|
|
var frame = (lines.charAt(0)+lines.charAt(lines.length-1)).replace(/[^|:]/g,"");
|
||
|
|
if (frame !== "") {
|
||
|
|
array.arraydef.frame = {'|':'solid', ':':'dashed'}[frame.charAt(0)];
|
||
|
|
array.arraydef.framespacing = ".5em .5ex"
|
||
|
|
}
|
||
|
|
lines = lines.substr(1,lines.length-2);
|
||
|
|
array.arraydef.columnlines =
|
||
|
|
lines.split('').join(' ').replace(/[^|: ]/g,'none').replace(/\|/g,'solid').replace(/:/g,'dashed');
|
||
|
|
}
|
||
|
|
if (open) {array.open = this.convertDelimiter(open)}
|
||
|
|
if (close) {array.close = this.convertDelimiter(close)}
|
||
|
|
if (style === "D") {array.arraydef.displaystyle = TRUE}
|
||
|
|
if (style === "S") {array.arraydef.scriptlevel = 1} // FIXME: should use mstyle?
|
||
|
|
if (raggedHeight) {array.arraydef.useHeight = FALSE}
|
||
|
|
this.Push(begin);
|
||
|
|
return array;
|
||
|
|
},
|
||
|
|
|
||
|
|
/************************************************************************/
|
||
|
|
/*
|
||
|
|
* String handling routines
|
||
|
|
*/
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Convert delimiter to character
|
||
|
|
*/
|
||
|
|
convertDelimiter: function (c) {
|
||
|
|
if (c) {c = TEXDEF.delimiter[c]}
|
||
|
|
if (c == null) {return null}
|
||
|
|
if (c instanceof Array) {c = c[0]}
|
||
|
|
if (c.length === 4) {c = String.fromCharCode(parseInt(c,16))}
|
||
|
|
return c;
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Trim spaces from a string
|
||
|
|
*/
|
||
|
|
trimSpaces: function (text) {
|
||
|
|
if (typeof(text) != 'string') {return text}
|
||
|
|
return text.replace(/^\s+|\s+$/g,'');
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Check if the next character is a space
|
||
|
|
*/
|
||
|
|
nextIsSpace: function () {
|
||
|
|
return this.string.charAt(this.i).match(/[ \n\r\t]/);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get the next non-space character
|
||
|
|
*/
|
||
|
|
GetNext: function () {
|
||
|
|
while (this.nextIsSpace()) {this.i++}
|
||
|
|
return this.string.charAt(this.i);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get and return a control-sequence name
|
||
|
|
*/
|
||
|
|
GetCS: function () {
|
||
|
|
var CS = this.string.slice(this.i).match(/^([a-z]+|.) ?/i);
|
||
|
|
if (CS) {this.i += CS[1].length; return CS[1]} else {this.i++; return " "}
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get and return a TeX argument (either a single character or control sequence,
|
||
|
|
* or the contents of the next set of braces).
|
||
|
|
*/
|
||
|
|
GetArgument: function (name,noneOK) {
|
||
|
|
switch (this.GetNext()) {
|
||
|
|
case "":
|
||
|
|
if (!noneOK) {TEX.Error("Missing argument for "+name)}
|
||
|
|
return null;
|
||
|
|
case '}':
|
||
|
|
if (!noneOK) {TEX.Error("Extra close brace or missing open brace")}
|
||
|
|
return null;
|
||
|
|
case '\\':
|
||
|
|
this.i++; return "\\"+this.GetCS();
|
||
|
|
case '{':
|
||
|
|
var j = ++this.i, parens = 1;
|
||
|
|
while (this.i < this.string.length) {
|
||
|
|
switch (this.string.charAt(this.i++)) {
|
||
|
|
case '\\': this.i++; break;
|
||
|
|
case '{': parens++; break;
|
||
|
|
case '}':
|
||
|
|
if (parens == 0) {TEX.Error("Extra close brace")}
|
||
|
|
if (--parens == 0) {return this.string.slice(j,this.i-1)}
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
TEX.Error("Missing close brace");
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
return this.string.charAt(this.i++);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get an optional LaTeX argument in brackets
|
||
|
|
*/
|
||
|
|
GetBrackets: function (name) {
|
||
|
|
if (this.GetNext() != '[') {return ''};
|
||
|
|
var j = ++this.i, parens = 0;
|
||
|
|
while (this.i < this.string.length) {
|
||
|
|
switch (this.string.charAt(this.i++)) {
|
||
|
|
case '{': parens++; break;
|
||
|
|
case '\\': this.i++; break;
|
||
|
|
case '}':
|
||
|
|
if (parens-- <= 0) {TEX.Error("Extra close brace while looking for ']'")}
|
||
|
|
break;
|
||
|
|
case ']':
|
||
|
|
if (parens == 0) {return this.string.slice(j,this.i-1)}
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
TEX.Error("Couldn't find closing ']' for argument to "+name);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get the name of a delimiter (check it in the delimiter list).
|
||
|
|
*/
|
||
|
|
GetDelimiter: function (name) {
|
||
|
|
while (this.nextIsSpace()) {this.i++}
|
||
|
|
var c = this.string.charAt(this.i);
|
||
|
|
if (this.i < this.string.length) {
|
||
|
|
this.i++; if (c == "\\") {c += this.GetCS(name)}
|
||
|
|
if (TEXDEF.delimiter[c] != null) {return this.convertDelimiter(c)}
|
||
|
|
}
|
||
|
|
TEX.Error("Missing or unrecognized delimiter for "+name);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get a dimension (including its units).
|
||
|
|
*/
|
||
|
|
GetDimen: function (name) {
|
||
|
|
var dimen;
|
||
|
|
if (this.nextIsSpace()) {this.i++}
|
||
|
|
if (this.string.charAt(this.i) == '{') {
|
||
|
|
dimen = this.GetArgument(name);
|
||
|
|
if (dimen.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/))
|
||
|
|
{return dimen.replace(/ /g,"")}
|
||
|
|
} else {
|
||
|
|
dimen = this.string.slice(this.i);
|
||
|
|
var match = dimen.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);
|
||
|
|
if (match) {
|
||
|
|
this.i += match[0].length;
|
||
|
|
return match[1].replace(/ /g,"");
|
||
|
|
}
|
||
|
|
}
|
||
|
|
TEX.Error("Missing dimension or its units for "+name);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Get everything up to the given control sequence (token)
|
||
|
|
*/
|
||
|
|
GetUpTo: function (name,token) {
|
||
|
|
while (this.nextIsSpace()) {this.i++}
|
||
|
|
var j = this.i, k, c, parens = 0;
|
||
|
|
while (this.i < this.string.length) {
|
||
|
|
k = this.i; c = this.string.charAt(this.i++);
|
||
|
|
switch (c) {
|
||
|
|
case '\\': c += this.GetCS(); break;
|
||
|
|
case '{': parens++; break;
|
||
|
|
case '}':
|
||
|
|
if (parens == 0) {TEX.Error("Extra close brace while looking for "+token)}
|
||
|
|
parens--;
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
if (parens == 0 && c == token) {return this.string.slice(j,k)}
|
||
|
|
}
|
||
|
|
TEX.Error("Couldn't find "+token+" for "+name);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Parse various substrings
|
||
|
|
*/
|
||
|
|
ParseArg: function (name) {return TEX.Parse(this.GetArgument(name),this.stack.env).mml()},
|
||
|
|
ParseUpTo: function (name,token) {return TEX.Parse(this.GetUpTo(name,token),this.stack.env).mml()},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Break up a string into text and math blocks
|
||
|
|
* @@@ FIXME: skip over braced groups? @@@
|
||
|
|
* @@@ FIXME: pass environment to TEX.Parse? @@@
|
||
|
|
*/
|
||
|
|
InternalMath: function (text,level) {
|
||
|
|
var def = {displaystyle: FALSE}; if (level != null) {def.scriptlevel = level}
|
||
|
|
if (this.stack.env.font) {def.mathvariant = this.stack.env.font}
|
||
|
|
if (!text.match(/\$|\\\(/)) {return [this.InternalText(text,def)]}
|
||
|
|
var i = 0, k = 0, c, match = '';
|
||
|
|
var mml = [];
|
||
|
|
while (i < text.length) {
|
||
|
|
c = text.charAt(i++);
|
||
|
|
if (c === '$') {
|
||
|
|
if (match === '$') {
|
||
|
|
mml.push(MML.TeXAtom(TEX.Parse(text.slice(k,i-1)).mml().With(def)));
|
||
|
|
match = ''; k = i;
|
||
|
|
} else if (match === '') {
|
||
|
|
if (k < i-1) {mml.push(this.InternalText(text.slice(k,i-1),def))}
|
||
|
|
match = '$'; k = i;
|
||
|
|
}
|
||
|
|
} else if (c === '\\') {
|
||
|
|
c = text.charAt(i++);
|
||
|
|
if (c === '(' && match === '') {
|
||
|
|
if (k < i-2) {mml.push(this.InternalText(text.slice(k,i-2),def))}
|
||
|
|
match = ')'; k = i;
|
||
|
|
} else if (c === ')' && match === ')') {
|
||
|
|
mml.push(MML.TeXAtom(TEX.Parse(text.slice(k,i-2)).mml().With(def)));
|
||
|
|
match = ''; k = i;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (match !== '') {TEX.Error("Math not terminated in text box")}
|
||
|
|
if (k < text.length) {mml.push(this.InternalText(text.slice(k),def))}
|
||
|
|
return mml;
|
||
|
|
},
|
||
|
|
InternalText: function (text,def) {
|
||
|
|
text = text.replace(/^\s+/,NBSP).replace(/\s+$/,NBSP);
|
||
|
|
return MML.mtext(MML.chars(text)).With(def);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Replace macro paramters with their values
|
||
|
|
*/
|
||
|
|
SubstituteArgs: function (args,string) {
|
||
|
|
var text = ''; var newstring = ''; var c; var i = 0;
|
||
|
|
while (i < string.length) {
|
||
|
|
c = string.charAt(i++);
|
||
|
|
if (c === "\\") {text += c + string.charAt(i++)}
|
||
|
|
else if (c === '#') {
|
||
|
|
c = string.charAt(i++);
|
||
|
|
if (c === '#') {text += c} else {
|
||
|
|
if (!c.match(/[1-9]/) || c > args.length)
|
||
|
|
{TEX.Error("Illegal macro parameter reference")}
|
||
|
|
newstring = this.AddArgs(this.AddArgs(newstring,text),args[c-1]);
|
||
|
|
text = '';
|
||
|
|
}
|
||
|
|
} else {text += c}
|
||
|
|
}
|
||
|
|
return this.AddArgs(newstring,text);
|
||
|
|
},
|
||
|
|
|
||
|
|
/*
|
||
|
|
* Make sure that macros are followed by a space if their names
|
||
|
|
* could accidentally be continued into the following text.
|
||
|
|
*/
|
||
|
|
AddArgs: function (s1,s2) {
|
||
|
|
if (s2.match(/^[a-z]/i) && s1.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)) {s1 += ' '}
|
||
|
|
if (s1.length + s2.length > TEX.config.MAXBUFFER)
|
||
|
|
{TEX.Error("MathJax internal buffer size exceeded; is there a recursive macro call?")}
|
||
|
|
return s1+s2;
|
||
|
|
}
|
||
|
|
|
||
|
|
});
|
||
|
|
|
||
|
|
/************************************************************************/
|
||
|
|
|
||
|
|
TEX.Augment({
|
||
|
|
Stack: STACK, Parse: PARSE, Definitions: TEXDEF, Startup: STARTUP,
|
||
|
|
|
||
|
|
config: {
|
||
|
|
MAXMACROS: 10000, // maximum number of macro substitutions per equation
|
||
|
|
MAXBUFFER: 5*1024 // maximum size of TeX string to process
|
||
|
|
},
|
||
|
|
|
||
|
|
Translate: function (script) {
|
||
|
|
var mml, math = script.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");
|
||
|
|
if (MathJax.Hub.Browser.isKonqueror)
|
||
|
|
{math = math.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&")}
|
||
|
|
var displaystyle =
|
||
|
|
(script.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/) != null);
|
||
|
|
math = TEX.prefilterMath(math,displaystyle,script);
|
||
|
|
try {
|
||
|
|
mml = TEX.Parse(math).mml();
|
||
|
|
// mml = MML.semantics(mml,MML.annotation(math).With({encoding:"application:x-tex"}));
|
||
|
|
} catch(err) {
|
||
|
|
if (!err.texError) {throw err}
|
||
|
|
mml = this.formatError(err,math,displaystyle,script);
|
||
|
|
}
|
||
|
|
if (mml.inferred) {mml = MML.apply(MathJax.ElementJax,mml.data)} else {mml = MML(mml)}
|
||
|
|
if (displaystyle) {mml.root.display = "block"}
|
||
|
|
return this.postfilterMath(mml,displaystyle,script);
|
||
|
|
},
|
||
|
|
prefilterMath: function (math,displaystyle,script) {
|
||
|
|
// avoid parsing super- and subscript numbers as a unit
|
||
|
|
return math.replace(/([_^]\s*\d)([0-9.,])/g,"$1 $2");
|
||
|
|
},
|
||
|
|
postfilterMath: function (math,displaystyle,script) {
|
||
|
|
this.combineRelations(math.root);
|
||
|
|
return math;
|
||
|
|
},
|
||
|
|
formatError: function (err,math,displaystyle,script) {
|
||
|
|
return MML.merror(err.message.replace(/\n.*/,""));
|
||
|
|
},
|
||
|
|
Error: function (message) {
|
||
|
|
throw MathJax.Hub.Insert(Error(message),{texError: TRUE});
|
||
|
|
},
|
||
|
|
Macro: function (name,def,argn) {
|
||
|
|
TEXDEF.macros[name] = ['Macro'].concat([].slice.call(arguments,1));
|
||
|
|
},
|
||
|
|
|
||
|
|
combineRelations: function (mml) {
|
||
|
|
for (var i = 0, m = mml.data.length; i < m; i++) {
|
||
|
|
if (mml.data[i]) {
|
||
|
|
if (mml.isa(MML.mrow)) {
|
||
|
|
while (i+1 < m && mml.data[i+1] &&
|
||
|
|
mml.data[i].isa(MML.mo) && mml.data[i+1].isa(MML.mo) &&
|
||
|
|
mml.data[i].Get("texClass") === MML.TEXCLASS.REL &&
|
||
|
|
mml.data[i+1].Get("texClass") === MML.TEXCLASS.REL) {
|
||
|
|
mml.data[i].Append.apply(mml.data[i],mml.data[i+1].data);
|
||
|
|
mml.data.splice(i+1,1); m--;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (!mml.data[i].isToken) {this.combineRelations(mml.data[i])}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
});
|
||
|
|
|
||
|
|
TEX.loadComplete("jax.js");
|
||
|
|
|
||
|
|
})(MathJax.InputJax.TeX);
|