395 lines
15 KiB
JavaScript
395 lines
15 KiB
JavaScript
/*************************************************************
|
|
*
|
|
* MathJax/extensions/TeX/AMSmath.js
|
|
*
|
|
* Implements AMS math environments and macros.
|
|
*
|
|
* ---------------------------------------------------------------------
|
|
*
|
|
* Copyright (c) 2009 Design Science, Inc.
|
|
*
|
|
* Licensed under the Apache License, Version 2.0 (the "License");
|
|
* you may not use this file except in compliance with the License.
|
|
* You may obtain a copy of the License at
|
|
*
|
|
* http://www.apache.org/licenses/LICENSE-2.0
|
|
*
|
|
* Unless required by applicable law or agreed to in writing, software
|
|
* distributed under the License is distributed on an "AS IS" BASIS,
|
|
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
|
* See the License for the specific language governing permissions and
|
|
* limitations under the License.
|
|
*/
|
|
|
|
MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
|
|
var VERSION = "1.1";
|
|
|
|
var MML = MathJax.ElementJax.mml;
|
|
var TEX = MathJax.InputJax.TeX;
|
|
var TEXDEF = TEX.Definitions;
|
|
var STACKITEM = TEX.Stack.Item;
|
|
|
|
var COLS = function (W) {return W.join("em ") + "em"};
|
|
|
|
MathJax.Hub.Insert(TEXDEF,{
|
|
macros: {
|
|
mathring: ['Accent','2DA'], // or 0x30A
|
|
|
|
nobreakspace: 'Tilde',
|
|
negmedspace: ['Spacer',MML.LENGTH.NEGATIVEMEDIUMMATHSPACE],
|
|
negthickspace: ['Spacer',MML.LENGTH.NEGATIVETHICKMATHSPACE],
|
|
|
|
intI: ['Macro','\\mathchoice{\\!}{}{}{}\\!\\!\\int'],
|
|
// iint: ['MultiIntegral','\\int\\intI'], // now in core TeX input jax
|
|
// iiint: ['MultiIntegral','\\int\\intI\\intI'], // now in core TeX input jax
|
|
iiiint: ['MultiIntegral','\\int\\intI\\intI\\intI'],
|
|
idotsint: ['MultiIntegral','\\int\\cdots\\int'],
|
|
|
|
dddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}',1],
|
|
ddddot: ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}',1],
|
|
|
|
sideset: ['Macro','\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}',3],
|
|
|
|
boxed: ['Macro','\\fbox{$\\displaystyle{#1}$}',1],
|
|
|
|
tag: 'HandleTag',
|
|
notag: 'HandleNoTag',
|
|
|
|
substack: ['Macro','\\begin{subarray}{c}#1\\end{subarray}',1],
|
|
|
|
injlim: ['Macro','\\mathop{\\rm inj\\,lim}'],
|
|
projlim: ['Macro','\\mathop{\\rm proj\\,lim}'],
|
|
varliminf: ['Macro','\\mathop{\\underline{\\rm lim}}'],
|
|
varlimsup: ['Macro','\\mathop{\\overline{\\rm lim}}'],
|
|
varinjlim: ['Macro','\\mathop{\\underrightarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'],
|
|
varprojlim: ['Macro','\\mathop{\\underleftarrow{\\rm lim\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}'],
|
|
|
|
DeclareMathOperator: 'HandleDeclareOp',
|
|
operatorname: 'HandleOperatorName',
|
|
|
|
genfrac: 'Genfrac',
|
|
frac: ['Genfrac',"","","",""],
|
|
tfrac: ['Genfrac',"","","",1],
|
|
dfrac: ['Genfrac',"","","",0],
|
|
binom: ['Genfrac',"(",")","0em",""],
|
|
tbinom: ['Genfrac',"(",")","0em",1],
|
|
dbinom: ['Genfrac',"(",")","0em",0],
|
|
|
|
cfrac: 'CFrac',
|
|
|
|
shoveleft: ['HandleShove',MML.ALIGN.LEFT],
|
|
shoveright: ['HandleShove',MML.ALIGN.RIGHT],
|
|
|
|
xrightarrow: ['xArrow',0x2192,5,6],
|
|
xleftarrow: ['xArrow',0x2190,7,3]
|
|
},
|
|
|
|
environment: {
|
|
align: ['AMSarray',null,true,true, 'rlrlrlrlrlrl',COLS([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],
|
|
'align*': ['AMSarray',null,false,true, 'rlrlrlrlrlrl',COLS([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],
|
|
multline: ['Multline',null,true],
|
|
'multline*': ['Multline',null,false],
|
|
split: ['AMSarray',null,false,false,'rl',COLS([5/18])],
|
|
gather: ['AMSarray',null,true,true, 'c'],
|
|
'gather*': ['AMSarray',null,false,true, 'c'],
|
|
|
|
alignat: ['AlignAt',null,true,true],
|
|
'alignat*': ['AlignAt',null,false,true],
|
|
alignedat: ['AlignAt',null,false,false],
|
|
|
|
aligned: ['Array',null,null,null,'rlrlrlrlrlrl',COLS([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em",'D'],
|
|
gathered: ['Array',null,null,null,'c',null,".5em",'D'],
|
|
|
|
subarray: ['Array',null,null,null,null,COLS([0,0,0,0]),"0.1em",'S',1],
|
|
smallmatrix: ['Array',null,null,null,'c',COLS([1/3]),".2em",'S',1]
|
|
},
|
|
|
|
delimiter: {
|
|
'\\lvert': ['2223',{texClass:MML.TEXCLASS.OPEN}],
|
|
'\\rvert': ['2223',{texClass:MML.TEXCLASS.CLOSE}],
|
|
'\\lVert': ['2225',{texClass:MML.TEXCLASS.OPEN}],
|
|
'\\rVert': ['2225',{texClass:MML.TEXCLASS.CLOSE}]
|
|
}
|
|
});
|
|
|
|
|
|
TEX.Parse.Augment({
|
|
|
|
/*
|
|
* Add the tag to the environment to be added to the table row later
|
|
*/
|
|
HandleTag: function (name) {
|
|
var arg = this.trimSpaces(this.GetArgument(name));
|
|
if (arg === "*") {arg = this.GetArgument(name)} else {arg = "("+arg+")"}
|
|
if (this.stack.global.notag)
|
|
{TEX.Error(name+" not allowed in "+this.stack.global.notag+" environment")}
|
|
if (this.stack.global.tag) {TEX.Error("Multiple "+name)}
|
|
this.stack.global.tag = MML.mtd.apply(MML,this.InternalMath(arg));
|
|
},
|
|
HandleNoTag: function (name) {
|
|
if (this.stack.global.tag) {delete this.stack.global.tag}
|
|
},
|
|
|
|
/*
|
|
* Handle \DeclareMathOperator
|
|
*/
|
|
HandleDeclareOp: function (name) {
|
|
var limits = "";
|
|
var cs = this.trimSpaces(this.GetArgument(name));
|
|
if (cs == "*") {
|
|
limits = "\\limits";
|
|
cs = this.trimSpaces(this.GetArgument(name));
|
|
}
|
|
if (cs.charAt(0) == "\\") {cs = cs.substr(1)}
|
|
var op = this.GetArgument(name);
|
|
op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
|
|
TEX.Definitions.macros[cs] = ['Macro','\\mathop{\\rm '+op+'}'+limits];
|
|
},
|
|
|
|
HandleOperatorName: function (name) {
|
|
var limits = "\\nolimits";
|
|
var op = this.trimSpaces(this.GetArgument(name));
|
|
if (op == "*") {
|
|
limits = "\\limits";
|
|
op = this.trimSpaces(this.GetArgument(name));
|
|
}
|
|
op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
|
|
this.string = '\\mathop{\\rm '+op+'}'+limits+" "+this.string.slice(this.i);
|
|
this.i = 0;
|
|
},
|
|
|
|
/*
|
|
* Record presence of \shoveleft and \shoveright
|
|
*/
|
|
HandleShove: function (name,shove) {
|
|
var top = this.stack.Top();
|
|
if (top.type !== "multline" || top.data.length) {TEX.Error(name+" must come at the beginning of the line")}
|
|
top.data.shove = shove;
|
|
},
|
|
|
|
/*
|
|
* Handle \cfrac
|
|
*/
|
|
CFrac: function (name) {
|
|
var lr = this.trimSpaces(this.GetBrackets(name)),
|
|
num = this.GetArgument(name),
|
|
den = this.GetArgument(name);
|
|
var frac = MML.mfrac(TEX.Parse('\\strut\\textstyle{'+num+'}',this.stack.env).mml(),
|
|
TEX.Parse('\\strut\\textstyle{'+den+'}',this.stack.env).mml());
|
|
lr = ({l:MML.ALIGN.LEFT, r:MML.ALIGN.RIGHT,"":""})[lr];
|
|
if (lr == null) {TEX.Error("Illegal alignment specified in "+name)}
|
|
if (lr) {frac.numalign = frac.denomalign = lr}
|
|
this.Push(frac);
|
|
},
|
|
|
|
/*
|
|
* Implement AMS generalized fraction
|
|
*/
|
|
Genfrac: function (name,left,right,thick,style) {
|
|
if (left == null) {left = this.GetDelimiterArg(name)} else {left = this.convertDelimiter(left)}
|
|
if (right == null) {right = this.GetDelimiterArg(name)} else {right = this.convertDelimiter(right)}
|
|
if (thick == null) {thick = this.GetArgument(name)}
|
|
if (style == null) {style = this.trimSpaces(this.GetArgument(name))}
|
|
var num = this.ParseArg(name);
|
|
var den = this.ParseArg(name);
|
|
var frac = MML.mfrac(num,den);
|
|
if (thick !== "") {frac.linethickness = thick}
|
|
if (left || right) {frac = MML.mfenced(frac).With({open: left, close: right})}
|
|
if (style !== "") {
|
|
var STYLE = (["D","T","S","SS"])[style];
|
|
if (STYLE == null) {TEX.Error("Bad math style for "+name)}
|
|
frac = MML.mstyle(frac);
|
|
if (STYLE === "D") {frac.displaystyle = true; frac.scriptlevel = 0}
|
|
else {frac.displaystyle = false; frac.scriptlevel = style - 1}
|
|
}
|
|
|
|
this.Push(frac);
|
|
},
|
|
|
|
/*
|
|
* Implements multline environment (mostly handled through STACKITEM below)
|
|
*/
|
|
Multline: function (begin,numbered) {
|
|
this.Push(begin);
|
|
return STACKITEM.multline().With({
|
|
arraydef: {
|
|
displaystyle: true,
|
|
rowspacing: ".5em",
|
|
width: TEX.config.MultLineWidth, columnwidth:"100%",
|
|
side: TEX.config.TagSide,
|
|
minlabelspacing: TEX.config.TagIndent
|
|
}
|
|
});
|
|
},
|
|
|
|
/*
|
|
* Handle AMS aligned environments
|
|
*/
|
|
AMSarray: function (begin,numbered,taggable,align,spacing) {
|
|
this.Push(begin);
|
|
align = align.replace(/[^clr]/g,'').split('').join(' ');
|
|
align = align.replace(/l/g,'left').replace(/r/g,'right').replace(/c/g,'center');
|
|
return STACKITEM.AMSarray(begin.name,numbered,taggable,this.stack).With({
|
|
arraydef: {
|
|
displaystyle: true,
|
|
rowspacing: ".5em",
|
|
columnalign: align,
|
|
columnspacing: (spacing||"1em"),
|
|
rowspacing: "3pt",
|
|
side: TEX.config.TagSide,
|
|
minlabelspacing: TEX.config.TagIndent
|
|
}
|
|
});
|
|
},
|
|
|
|
AlignAt: function (begin,numbered,taggable) {
|
|
var n = this.GetArgument("\\begin{"+begin.name+"}");
|
|
if (n.match(/[^0-9]/)) {TEX.Error("Argument to \\begin{"+begin.name+"} must me a positive integer")}
|
|
align = ""; spacing = [];
|
|
while (n > 0) {align += "rl"; spacing.push("0em 0em"); n--}
|
|
spacing = spacing.join(" ");
|
|
if (taggable) {return this.AMSarray(begin,numbered,taggable,align,spacing)}
|
|
return this.Array(begin,null,null,align,spacing,".5em",'D');
|
|
},
|
|
|
|
/*
|
|
* Handle multiple integrals (make a mathop if followed by limits)
|
|
*/
|
|
MultiIntegral: function (name,integral) {
|
|
var next = this.GetNext();
|
|
if (next === "\\") {
|
|
var i = this.i; next = this.GetArgument(name); this.i = i;
|
|
if (next === "\\limits") {
|
|
if (name === "\\idotsint") {integral = "\\!\\!\\mathop{\\,\\,"+integral+"}"}
|
|
else {integral = "\\!\\!\\!\\mathop{\\,\\,\\,"+integral+"}"}
|
|
}
|
|
}
|
|
this.string = integral + " " + this.string.slice(this.i);
|
|
this.i = 0;
|
|
},
|
|
|
|
xArrow: function (name,chr,l,r) {
|
|
var def = {width: "+"+(l+r)+"mu", lspace: l+"mu"};
|
|
var bot = this.GetBrackets(name),
|
|
top = this.ParseArg(name);
|
|
var arrow = MML.mo(MML.chars(String.fromCharCode(chr))).With({
|
|
stretchy: true, texClass: MML.TEXCLASS.REL
|
|
});
|
|
var mml = MML.munderover(arrow);
|
|
mml.SetData(mml.over,MML.mpadded(top).With(def).With({voffset:".15em"}));
|
|
if (bot) {
|
|
bot = TEX.Parse(bot,this.stack.env).mml()
|
|
mml.SetData(mml.under,MML.mpadded(bot).With(def).With({voffset:"-.24em"}));
|
|
}
|
|
this.Push(mml);
|
|
},
|
|
|
|
/*
|
|
* Get a delimiter or empty argument
|
|
*/
|
|
GetDelimiterArg: function (name) {
|
|
var c = this.trimSpaces(this.GetArgument(name));
|
|
if (c == "") {return null}
|
|
if (!TEXDEF.delimiter[c]) {TEX.Error("Missing or unrecognized delimiter for "+name)}
|
|
return this.convertDelimiter(c);
|
|
}
|
|
});
|
|
|
|
/*
|
|
* Implement multline environment via a STACKITEM
|
|
*/
|
|
STACKITEM.multline = STACKITEM.array.Subclass({
|
|
type: "multline",
|
|
EndEntry: function () {
|
|
var mtd = MML.mtd.apply(MML,this.data);
|
|
if (this.data.shove) {mtd.columnalign = this.data.shove}
|
|
this.row.push(mtd);
|
|
this.data = [];
|
|
},
|
|
EndRow: function () {
|
|
if (this.row.length != 1) {TEX.Error("multline rows must have exactly one column")}
|
|
this.table.push(this.row); this.row = [];
|
|
},
|
|
EndTable: function () {
|
|
this.SUPER(arguments).EndTable.call(this);
|
|
if (this.table.length) {
|
|
var m = this.table.length-1, i;
|
|
if (!this.table[0][0].columnalign) {this.table[0][0].columnalign = MML.ALIGN.LEFT}
|
|
if (!this.table[m][0].columnalign) {this.table[m][0].columnalign = MML.ALIGN.RIGHT}
|
|
var mtr = MML.mtr;
|
|
if (this.global.tag) {
|
|
this.table[0] = [this.global.tag].concat(this.table[0]);
|
|
delete this.global.tag; mtr = MML.mlabeledtr;
|
|
}
|
|
this.table[0] = mtr.apply(MML,this.table[0]);
|
|
for (i = 1, m = this.table.length; i < m; i++)
|
|
{this.table[i] = MML.mtr.apply(MML,this.table[i])}
|
|
}
|
|
}
|
|
});
|
|
|
|
STACKITEM.AMSarray = STACKITEM.array.Subclass({
|
|
type: "AMSarray",
|
|
Init: function (name,numbered,taggable,stack) {
|
|
this.SUPER(arguments).Init.apply(this);
|
|
this.numbered = numbered;
|
|
this.save_notag = stack.global.notag;
|
|
stack.global.notag = (taggable ? null : name);
|
|
},
|
|
EndRow: function () {
|
|
var mtr = MML.mtr;
|
|
if (this.global.tag) {
|
|
this.row = [this.global.tag].concat(this.row);
|
|
mtr = MML.mlabeledtr;
|
|
delete this.global.tag;
|
|
}
|
|
this.table.push(mtr.apply(MML,this.row)); this.row = [];
|
|
},
|
|
EndTable: function () {
|
|
this.SUPER(arguments).EndTable.call(this);
|
|
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();
|
|
if (this.global.tag) {
|
|
var row = [this.global.tag,MML.mtd(mml)]; delete this.global.tag;
|
|
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.SUPER(arguments).checkItem.call(this,item);
|
|
}
|
|
});
|
|
|
|
MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready");
|
|
|
|
});
|
|
|
|
MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
|