mirror of
https://gerrit.wikimedia.org/r/mediawiki/extensions/Math
synced 2024-11-29 18:04:53 +00:00
568 lines
21 KiB
JavaScript
568 lines
21 KiB
JavaScript
/*************************************************************
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*
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* MathJax/extensions/TeX/AMSmath.js
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*
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* Implements AMS math environments and macros.
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*
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* ---------------------------------------------------------------------
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*
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* Copyright (c) 2009-2012 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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MathJax.Extension["TeX/AMSmath"] = {
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version: "2.0",
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number: 0, // current equation number
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startNumber: 0, // current starting equation number (for when equation is restarted)
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labels: {}, // the set of labels
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eqlabels: {}, // labels in the current equation
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refs: [] // array of jax with unresolved references
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};
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MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
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var MML = MathJax.ElementJax.mml,
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TEX = MathJax.InputJax.TeX,
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AMS = MathJax.Extension["TeX/AMSmath"];
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var TEXDEF = TEX.Definitions,
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STACKITEM = TEX.Stack.Item,
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CONFIG = TEX.config.equationNumbers;
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var COLS = function (W) {return W.join("em ") + "em"};
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/******************************************************************************/
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TEXDEF.Add({
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macros: {
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mathring: ['Accent','2DA'], // or 0x30A
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nobreakspace: 'Tilde',
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negmedspace: ['Spacer',MML.LENGTH.NEGATIVEMEDIUMMATHSPACE],
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negthickspace: ['Spacer',MML.LENGTH.NEGATIVETHICKMATHSPACE],
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intI: ['Macro','\\mathchoice{\\!}{}{}{}\\!\\!\\int'],
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// iint: ['MultiIntegral','\\int\\intI'], // now in core TeX input jax
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// iiint: ['MultiIntegral','\\int\\intI\\intI'], // now in core TeX input jax
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iiiint: ['MultiIntegral','\\int\\intI\\intI\\intI'],
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idotsint: ['MultiIntegral','\\int\\cdots\\int'],
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dddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}',1],
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ddddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}',1],
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sideset: ['Macro','\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}',3],
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boxed: ['Macro','\\fbox{$\\displaystyle{#1}$}',1],
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tag: 'HandleTag',
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notag: 'HandleNoTag',
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label: 'HandleLabel',
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ref: 'HandleRef',
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eqref: ['HandleRef',true],
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substack: ['Macro','\\begin{subarray}{c}#1\\end{subarray}',1],
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injlim: ['Macro','\\mathop{\\rm inj\\,lim}'],
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projlim: ['Macro','\\mathop{\\rm proj\\,lim}'],
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varliminf: ['Macro','\\mathop{\\underline{\\rm lim}}'],
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varlimsup: ['Macro','\\mathop{\\overline{\\rm lim}}'],
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varinjlim: ['Macro','\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'],
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varprojlim: ['Macro','\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'],
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DeclareMathOperator: 'HandleDeclareOp',
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operatorname: 'HandleOperatorName',
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genfrac: 'Genfrac',
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frac: ['Genfrac',"","","",""],
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tfrac: ['Genfrac',"","","",1],
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dfrac: ['Genfrac',"","","",0],
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binom: ['Genfrac',"(",")","0em",""],
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tbinom: ['Genfrac',"(",")","0em",1],
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dbinom: ['Genfrac',"(",")","0em",0],
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cfrac: 'CFrac',
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shoveleft: ['HandleShove',MML.ALIGN.LEFT],
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shoveright: ['HandleShove',MML.ALIGN.RIGHT],
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xrightarrow: ['xArrow',0x2192,5,6],
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xleftarrow: ['xArrow',0x2190,7,3]
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},
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environment: {
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align: ['AMSarray',null,true,true, 'rlrlrlrlrlrl',COLS([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],
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'align*': ['AMSarray',null,false,true, 'rlrlrlrlrlrl',COLS([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],
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multline: ['Multline',null,true],
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'multline*': ['Multline',null,false],
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split: ['AMSarray',null,false,false,'rl',COLS([5/18])],
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gather: ['AMSarray',null,true,true, 'c'],
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'gather*': ['AMSarray',null,false,true, 'c'],
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alignat: ['AlignAt',null,true,true],
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'alignat*': ['AlignAt',null,false,true],
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alignedat: ['AlignAt',null,false,false],
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aligned: ['AlignedArray',null,null,null,'rlrlrlrlrlrl',COLS([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em",'D'],
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gathered: ['AlignedArray',null,null,null,'c',null,".5em",'D'],
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subarray: ['Array',null,null,null,null,COLS([0,0,0,0]),"0.1em",'S',1],
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smallmatrix: ['Array',null,null,null,'c',COLS([1/3]),".2em",'S',1],
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'equation': ['EquationBegin','Equation',true],
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'equation*': ['EquationBegin','EquationStar',false]
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},
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delimiter: {
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'\\lvert': ['2223',{texClass:MML.TEXCLASS.OPEN}],
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'\\rvert': ['2223',{texClass:MML.TEXCLASS.CLOSE}],
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'\\lVert': ['2225',{texClass:MML.TEXCLASS.OPEN}],
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'\\rVert': ['2225',{texClass:MML.TEXCLASS.CLOSE}]
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}
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},null,true);
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/******************************************************************************/
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TEX.Parse.Augment({
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/*
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* Add the tag to the environment (to be added to the table row later)
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*/
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HandleTag: function (name) {
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var star = this.GetStar();
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var arg = this.trimSpaces(this.GetArgument(name)), tag = arg;
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if (!star) {arg = CONFIG.formatTag(arg)}
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var global = this.stack.global; global.tagID = tag;
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if (global.notags) {TEX.Error(name+" not allowed in "+global.notags+" environment")}
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if (global.tag) {TEX.Error("Multiple "+name)}
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global.tag = MML.mtd.apply(MML,this.InternalMath(arg)).With({id:CONFIG.formatID(tag)});
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},
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HandleNoTag: function (name) {
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if (this.stack.global.tag) {delete this.stack.global.tag}
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this.stack.global.notag = true; // prevent auto-tagging
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},
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/*
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* Record a label name for a tag
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*/
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HandleLabel: function (name) {
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var global = this.stack.global, label = this.GetArgument(name);
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if (!AMS.refUpdate) {
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if (global.label) {TEX.Error("Multiple "+name+"'s")}
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global.label = label;
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if (AMS.labels[label] || AMS.eqlabels[label]) {TEX.Error("Label '"+label+"' mutiply defined")}
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AMS.eqlabels[label] = "???"; // will be replaced by tag value later
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}
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},
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/*
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* Handle a label reference
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*/
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HandleRef: function (name,eqref) {
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var label = this.GetArgument(name);
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var ref = AMS.labels[label] || AMS.eqlabels[label];
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if (!ref) {ref = "??"; AMS.badref = !AMS.refUpdate}
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var tag = ref; if (eqref) {tag = CONFIG.formatTag(tag)}
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if (CONFIG.useLabelIds) {ref = label}
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this.Push(MML.mrow.apply(MML,this.InternalMath(tag)).With({
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href:CONFIG.formatURL(CONFIG.formatID(ref)), "class":"MathJax_ref"
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}));
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},
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/*
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* Handle \DeclareMathOperator
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*/
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HandleDeclareOp: function (name) {
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var limits = (this.GetStar() ? "\\limits" : "");
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var cs = this.trimSpaces(this.GetArgument(name));
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if (cs.charAt(0) == "\\") {cs = cs.substr(1)}
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var op = this.GetArgument(name);
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op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
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TEX.Definitions.macros[cs] = ['Macro','\\mathop{\\rm '+op+'}'+limits];
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},
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HandleOperatorName: function (name) {
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var limits = (this.GetStar() ? "\\limits" : "\\nolimits");
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var op = this.trimSpaces(this.GetArgument(name));
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op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
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this.string = '\\mathop{\\rm '+op+'}'+limits+" "+this.string.slice(this.i);
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this.i = 0;
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},
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/*
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* Record presence of \shoveleft and \shoveright
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*/
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HandleShove: function (name,shove) {
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var top = this.stack.Top();
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if (top.type !== "multline" || top.data.length) {TEX.Error(name+" must come at the beginning of the line")}
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top.data.shove = shove;
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},
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/*
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* Handle \cfrac
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*/
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CFrac: function (name) {
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var lr = this.trimSpaces(this.GetBrackets(name,"")),
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num = this.GetArgument(name),
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den = this.GetArgument(name);
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var frac = MML.mfrac(TEX.Parse('\\strut\\textstyle{'+num+'}',this.stack.env).mml(),
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TEX.Parse('\\strut\\textstyle{'+den+'}',this.stack.env).mml());
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lr = ({l:MML.ALIGN.LEFT, r:MML.ALIGN.RIGHT,"":""})[lr];
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if (lr == null) {TEX.Error("Illegal alignment specified in "+name)}
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if (lr) {frac.numalign = frac.denomalign = lr}
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this.Push(frac);
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},
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/*
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* Implement AMS generalized fraction
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*/
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Genfrac: function (name,left,right,thick,style) {
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if (left == null) {left = this.GetDelimiterArg(name)} else {left = this.convertDelimiter(left)}
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if (right == null) {right = this.GetDelimiterArg(name)} else {right = this.convertDelimiter(right)}
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if (thick == null) {thick = this.GetArgument(name)}
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if (style == null) {style = this.trimSpaces(this.GetArgument(name))}
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var num = this.ParseArg(name);
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var den = this.ParseArg(name);
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var frac = MML.mfrac(num,den);
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if (thick !== "") {frac.linethickness = thick}
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if (left || right) {frac = MML.mfenced(frac).With({open: left, close: right})}
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if (style !== "") {
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var STYLE = (["D","T","S","SS"])[style];
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if (STYLE == null) {TEX.Error("Bad math style for "+name)}
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frac = MML.mstyle(frac);
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if (STYLE === "D") {frac.displaystyle = true; frac.scriptlevel = 0}
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else {frac.displaystyle = false; frac.scriptlevel = style - 1}
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}
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this.Push(frac);
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},
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/*
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* Implements multline environment (mostly handled through STACKITEM below)
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*/
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Multline: function (begin,numbered) {
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this.Push(begin); this.checkEqnEnv();
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return STACKITEM.multline(numbered,this.stack).With({
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arraydef: {
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displaystyle: true,
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rowspacing: ".5em",
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width: TEX.config.MultLineWidth, columnwidth:"100%",
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side: TEX.config.TagSide,
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minlabelspacing: TEX.config.TagIndent
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}
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});
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},
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/*
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* Handle AMS aligned environments
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*/
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AMSarray: function (begin,numbered,taggable,align,spacing) {
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this.Push(begin); if (taggable) {this.checkEqnEnv()}
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align = align.replace(/[^clr]/g,'').split('').join(' ');
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align = align.replace(/l/g,'left').replace(/r/g,'right').replace(/c/g,'center');
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return STACKITEM.AMSarray(begin.name,numbered,taggable,this.stack).With({
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arraydef: {
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displaystyle: true,
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rowspacing: ".5em",
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columnalign: align,
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columnspacing: (spacing||"1em"),
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rowspacing: "3pt",
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side: TEX.config.TagSide,
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minlabelspacing: TEX.config.TagIndent
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}
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});
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},
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/*
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* Handle alignat environments
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*/
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AlignAt: function (begin,numbered,taggable) {
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var n, valign, align = "", spacing = [];
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if (!taggable) {valign = this.GetBrackets("\\begin{"+begin.name+"}")}
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n = this.GetArgument("\\begin{"+begin.name+"}");
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if (n.match(/[^0-9]/)) {TEX.Error("Argument to \\begin{"+begin.name+"} must me a positive integer")}
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while (n > 0) {align += "rl"; spacing.push("0em 0em"); n--}
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spacing = spacing.join(" ");
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if (taggable) {return this.AMSarray(begin,numbered,taggable,align,spacing)}
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var array = this.Array.call(this,begin,null,null,align,spacing,".5em",'D');
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return this.setArrayAlign(array,valign);
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},
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/*
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* Handle equation environment
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*/
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EquationBegin: function (begin,force) {
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this.checkEqnEnv();
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this.stack.global.forcetag = (force && CONFIG.autoNumber !== "none");
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return begin;
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},
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EquationStar: function (begin,row) {
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this.stack.global.tagged = true; // prevent automatic tagging
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return row;
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},
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/*
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* Check for bad nesting of equation environments
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*/
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checkEqnEnv: function () {
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if (this.stack.global.eqnenv) {TEX.Error("Erroneous nesting of equation structures")}
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this.stack.global.eqnenv = true;
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},
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/*
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* Handle multiple integrals (make a mathop if followed by limits)
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*/
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MultiIntegral: function (name,integral) {
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var next = this.GetNext();
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if (next === "\\") {
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var i = this.i; next = this.GetArgument(name); this.i = i;
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if (next === "\\limits") {
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if (name === "\\idotsint") {integral = "\\!\\!\\mathop{\\,\\,"+integral+"}"}
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else {integral = "\\!\\!\\!\\mathop{\\,\\,\\,"+integral+"}"}
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}
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}
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this.string = integral + " " + this.string.slice(this.i);
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this.i = 0;
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},
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/*
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* Handle stretchable arrows
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*/
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xArrow: function (name,chr,l,r) {
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var def = {width: "+"+(l+r)+"mu", lspace: l+"mu"};
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var bot = this.GetBrackets(name),
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top = this.ParseArg(name);
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var arrow = MML.mo(MML.chars(String.fromCharCode(chr))).With({
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stretchy: true, texClass: MML.TEXCLASS.REL
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});
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var mml = MML.munderover(arrow);
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mml.SetData(mml.over,MML.mpadded(top).With(def).With({voffset:".15em"}));
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if (bot) {
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bot = TEX.Parse(bot,this.stack.env).mml()
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mml.SetData(mml.under,MML.mpadded(bot).With(def).With({voffset:"-.24em"}));
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}
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this.Push(mml);
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},
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/*
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* Get a delimiter or empty argument
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*/
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GetDelimiterArg: function (name) {
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var c = this.trimSpaces(this.GetArgument(name));
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if (c == "") {return null}
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if (TEXDEF.delimiter[c] == null) {TEX.Error("Missing or unrecognized delimiter for "+name)}
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return this.convertDelimiter(c);
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},
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/*
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* Get a star following a control sequence name, if any
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*/
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GetStar: function () {
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var star = (this.GetNext() === "*");
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if (star) {this.i++}
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return star;
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}
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});
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/******************************************************************************/
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STACKITEM.Augment({
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/*
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* Increment equation number and form tag mtd element
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*/
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autoTag: function () {
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var global = this.global;
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if (!global.notag) {
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AMS.number++; global.tagID = CONFIG.formatNumber(AMS.number.toString());
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var mml = TEX.Parse("\\text{"+CONFIG.formatTag(global.tagID)+"}",{}).mml();
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global.tag = MML.mtd(mml.With({id:CONFIG.formatID(global.tagID)}));
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}
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},
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/*
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* Get the tag and record the label, if any
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*/
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getTag: function () {
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var global = this.global, tag = global.tag; global.tagged = true;
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if (global.label) {
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AMS.eqlabels[global.label] = global.tagID;
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if (CONFIG.useLabelIds) {tag.id = CONFIG.formatID(global.label)}
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}
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delete global.tag; delete global.tagID; delete global.label;
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return tag;
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}
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});
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/*
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* Implement multline environment via a STACKITEM
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*/
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STACKITEM.multline = STACKITEM.array.Subclass({
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type: "multline",
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Init: function (numbered,stack) {
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this.SUPER(arguments).Init.apply(this);
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this.numbered = (numbered && CONFIG.autoNumber !== "none");
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this.save = {notag: stack.global.notag};
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stack.global.tagged = !numbered && !stack.global.forcetag; // prevent automatic tagging in starred environments
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},
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EndEntry: function () {
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var mtd = MML.mtd.apply(MML,this.data);
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if (this.data.shove) {mtd.columnalign = this.data.shove}
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this.row.push(mtd);
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this.data = [];
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},
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EndRow: function () {
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if (this.row.length != 1) {TEX.Error("multline rows must have exactly one column")}
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this.table.push(this.row); this.row = [];
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},
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EndTable: function () {
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this.SUPER(arguments).EndTable.call(this);
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if (this.table.length) {
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var m = this.table.length-1, i, label = -1;
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if (!this.table[0][0].columnalign) {this.table[0][0].columnalign = MML.ALIGN.LEFT}
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if (!this.table[m][0].columnalign) {this.table[m][0].columnalign = MML.ALIGN.RIGHT}
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if (!this.global.tag && this.numbered) {this.autoTag()}
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if (this.global.tag && !this.global.notags) {
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label = (this.arraydef.side === "left" ? 0 : this.table.length - 1);
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this.table[label] = [this.getTag()].concat(this.table[label]);
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}
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for (i = 0, m = this.table.length; i < m; i++) {
|
|
var mtr = (i === label ? MML.mlabeledtr : MML.mtr);
|
|
this.table[i] = mtr.apply(MML,this.table[i]);
|
|
}
|
|
}
|
|
this.global.notag = this.save.notag;
|
|
}
|
|
});
|
|
|
|
/*
|
|
* Save data about numbering and taging equations, and add
|
|
* tags at the ends of rows.
|
|
*/
|
|
STACKITEM.AMSarray = STACKITEM.array.Subclass({
|
|
type: "AMSarray",
|
|
Init: function (name,numbered,taggable,stack) {
|
|
this.SUPER(arguments).Init.apply(this);
|
|
this.numbered = (numbered && CONFIG.autoNumber !== "none");
|
|
this.save = {notags: stack.global.notags, notag: stack.global.notag};
|
|
stack.global.notags = (taggable ? null : name);
|
|
stack.global.tagged = !numbered && !stack.global.forcetag; // prevent automatic tagging in starred environments
|
|
},
|
|
EndRow: function () {
|
|
var mtr = MML.mtr;
|
|
if (!this.global.tag && this.numbered) {this.autoTag()}
|
|
if (this.global.tag &&! this.global.notags) {
|
|
this.row = [this.getTag()].concat(this.row);
|
|
mtr = MML.mlabeledtr;
|
|
}
|
|
if (this.numbered) {delete this.global.notag}
|
|
this.table.push(mtr.apply(MML,this.row)); this.row = [];
|
|
},
|
|
EndTable: function () {
|
|
this.SUPER(arguments).EndTable.call(this);
|
|
this.global.notags = this.save.notags;
|
|
this.global.notag = this.save.notag;
|
|
}
|
|
});
|
|
|
|
//
|
|
// Look for \tag on a formula and make an mtable to include it
|
|
//
|
|
STACKITEM.start.Augment({
|
|
oldCheckItem: STACKITEM.start.prototype.checkItem,
|
|
checkItem: function (item) {
|
|
if (item.type === "stop") {
|
|
var mml = this.mmlData(), global = this.global;
|
|
if (AMS.display && !global.tag && !global.tagged && !global.isInner &&
|
|
(CONFIG.autoNumber === "all" || global.forcetag)) {this.autoTag()}
|
|
if (global.tag) {
|
|
var row = [this.getTag(),MML.mtd(mml)];
|
|
var def = {
|
|
side: TEX.config.TagSide,
|
|
minlabelspacing: TEX.config.TagIndent,
|
|
columnalign: mml.displayAlign
|
|
};
|
|
if (mml.displayAlign === MML.INDENTALIGN.LEFT) {
|
|
def.width = "100%";
|
|
if (mml.displayIndent && !String(mml.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)) {
|
|
def.columnwidth = mml.displayIndent + " fit"; def.columnspacing = "0"
|
|
row = [row[0],MML.mtd(),row[1]];
|
|
}
|
|
} else if (mml.displayAlign === MML.INDENTALIGN.RIGHT) {
|
|
def.width = "100%";
|
|
if (mml.displayIndent && !String(mml.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)) {
|
|
def.columnwidth = "fit "+mml.displayIndent; def.columnspacing = "0"
|
|
row[2] = MML.mtd();
|
|
}
|
|
}
|
|
mml = MML.mtable(MML.mlabeledtr.apply(MML,row)).With(def);
|
|
}
|
|
return STACKITEM.mml(mml);
|
|
}
|
|
return this.oldCheckItem.call(this,item);
|
|
}
|
|
});
|
|
|
|
/******************************************************************************/
|
|
|
|
/*
|
|
* Add pre- and post-filters to handle the equation number maintainance.
|
|
*/
|
|
TEX.prefilterHooks.Add(function (data) {
|
|
AMS.display = data.display;
|
|
AMS.number = AMS.startNumber; // reset equation numbers (in case the equation restarted)
|
|
AMS.eqlabels = {}; AMS.badref = false;
|
|
if (AMS.refUpdate) {AMS.number = data.script.MathJax.startNumber}
|
|
});
|
|
TEX.postfilterHooks.Add(function (data) {
|
|
data.script.MathJax.startNumber = AMS.startNumber;
|
|
AMS.startNumber = AMS.number; // equation numbers for next equation
|
|
MathJax.Hub.Insert(AMS.labels,AMS.eqlabels); // save labels from this equation
|
|
if (AMS.badref && !data.math.texError) {AMS.refs.push(data.script)} // reprocess later
|
|
});
|
|
|
|
MathJax.Hub.Register.MessageHook("Begin Math Input",function () {
|
|
AMS.refs = []; // array of jax with bad references
|
|
AMS.refUpdate = false;
|
|
});
|
|
MathJax.Hub.Register.MessageHook("End Math Input",function (message) {
|
|
if (AMS.refs.length) {
|
|
AMS.refUpdate = true;
|
|
for (var i = 0, m = AMS.refs.length; i < m; i++)
|
|
{AMS.refs[i].MathJax.state = MathJax.ElementJax.STATE.UPDATE}
|
|
return MathJax.Hub.processInput({
|
|
scripts:AMS.refs,
|
|
start: new Date().getTime(),
|
|
i:0, j:0, jax:{}, jaxIDs:[]
|
|
});
|
|
}
|
|
return null;
|
|
});
|
|
|
|
//
|
|
// Clear the equation numbers and labels
|
|
//
|
|
TEX.resetEquationNumbers = function (n,keepLabels) {
|
|
AMS.startNumber = (n || 0);
|
|
if (!keepLabels) {AMS.labels = {}}
|
|
}
|
|
|
|
/******************************************************************************/
|
|
|
|
MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready");
|
|
|
|
});
|
|
|
|
MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
|