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PEG-Wiki/javascript/MathJax/jax/input/MathML/jax.js

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/*************************************************************
*
* MathJax/jax/input/MathML/jax.js
*
* Implements the MathML InputJax that reads mathematics in
* MathML format and converts it to the MML ElementJax
* internal format.
*
* ---------------------------------------------------------------------
*
* Copyright (c) 2010 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
*/
(function (MATHML,BROWSER) {
var MML;
MATHML.Parse = MathJax.Object.Subclass({
Init: function (string) {this.Parse(string)},
//
// Parse the MathML and check for errors
//
Parse: function (math) {
var doc;
if (typeof math !== "string") {doc = math.parentNode} else {
if (math.match(/^<[a-z]+:/i) && !math.match(/^<[^<>]* xmlns:/))
{math = math.replace(/^<([a-z]+):math/i,'<$1:math xmlns:$1="http://www.w3.org/1998/Math/MathML"')}
math = math.replace(/&([a-z]+);/ig,this.replaceEntity);
doc = MATHML.ParseXML(math); if (doc == null) {MATHML.Error("Error parsing MathML")}
}
var err = doc.getElementsByTagName("parsererror")[0];
if (err) MATHML.Error("Error parsing MathML: "+err.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,""));
if (doc.childNodes.length !== 1) MATHML.Error("MathML must be formed by a single element");
if (doc.firstChild.nodeName.toLowerCase() === "html") {
var h1 = doc.getElementsByTagName("h1")[0];
if (h1 && h1.textContent === "XML parsing error" && h1.nextSibling)
MATHML.Error("Error parsing MathML: "+String(h1.nextSibling.nodeValue).replace(/fatal parsing error: /,""));
}
if (doc.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"") !== "math")
MATHML.Error("MathML must be formed by a <math> element, not <"+doc.firstChild.nodeName+">");
this.mml = this.MakeMML(doc.firstChild);
},
//
// Convert the MathML structure to the MathJax Element jax structure
//
MakeMML: function (node) {
var type = node.nodeName.toLowerCase().replace(/^[a-z]+:/,"");
if (!(MML[type] && MML[type].isa && MML[type].isa(MML.mbase)))
{return MML.merror("Unknown node type: "+type)}
var mml = MML[type](), i, m, value;
for (i = 0, m = node.attributes.length; i < m; i++) {
value = node.attributes[i].value;
if (value.toLowerCase() === "true") {value = true}
else if (value.toLowerCase() === "false") {value = false}
mml[node.attributes[i].name] = value;
}
for (i = 0, m = node.childNodes.length; i < m; i++) {
var child = node.childNodes[i];
if (child.nodeName === "#comment") continue;
if (child.nodeName === "#text") {
if (mml.isToken) {
var text = this.trimSpace(child.nodeValue);
if (mml.isa(MML.mo) && text.length === 1 && this.Remap[text.charAt(0)])
{text = this.Remap[text.charAt(0)]}
text = text.replace(/&([a-z]+);/ig,this.replaceEntity);
mml.Append(MML.chars(text));
} else if (child.nodeValue.match(/\S/)) {
MATHML.Error("Unexpected text node: '"+child.nodeValue+"'");
}
} else {mml.Append(this.MakeMML(child))}
}
if (MATHML.config.useMathMLspacing) {mml.useMMLspacing = 0x08}
return mml;
},
trimSpace: function (string) {
return string.replace(/^[ \t\n\r]+/,"") // initial whitespace
.replace(/[ \t\n\r]+$/,"") // trailing whitespace
.replace(/[ \t\n\r][ \t\n\r]+/g," "); // internal multiple whitespace
},
replaceEntity: function (match,entity) {
if (MATHML.Parse.Entity[entity]) {return MATHML.Parse.Entity[entity]}
var file = entity.charAt(0).toLowerCase();
var font = entity.match(/^[a-zA-Z](fr|scr|opf)$/);
if (font) {file = font[1]}
if (!MATHML.Parse.loaded[file]) {
MATHML.Parse.loaded[file] = true;
MathJax.Hub.RestartAfter(MathJax.Ajax.Require(MATHML.entityDir+"/"+file+".js"));
}
return match;
},
Remap: {
'\u0027': '\u2032', // '
'\u002A': '\u2217', // *
'\u002D': '\u2212' // -
}
}, {
loaded: []
});
/************************************************************************/
MATHML.Augment({
Translate: function (script) {
var mml, math;
if (script.firstChild &&
script.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"") === "math") {
math = this.prefilterMathML(script.firstChild);
} else {
math = script.innerHTML.replace(/^\s+/,"").replace(/\s+$/,"");
if (BROWSER.isMSIE)
{math = math.replace(/(&nbsp;)+$/,"").replace(/&amp;/g,"&").replace(/&lt;/g,"&amp;lt;")}
else if (BROWSER.isKonqueror)
{math = math.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&")}
math = this.prefilterMath(math,script);
}
try {
mml = MATHML.Parse(math).mml;
} catch(err) {
if (!err.mathmlError) {throw err}
mml = this.formatError(err,math,script);
}
return MML(mml);
},
prefilterMath: function (math,script) {return math},
prefilterMathML: function (math) {return math},
formatError: function (err,math,script) {
return MML.merror(err.message.replace(/\n.*/,""));
},
Error: function (message) {
throw MathJax.Hub.Insert(Error(message),{mathmlError: true});
},
//
// Parsers for various forms (DOMParser, Windows ActiveX object, other)
//
parseDOM: function (string) {return this.parser.parseFromString(string,"text/xml")},
parseMS: function (string) {return (this.parser.loadXML(string) ? this.parser : null)},
parseDIV: function (string) {
this.div.innerHTML = string.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");
return this.div;
},
//
// Initialize the parser object (whichever type is used)
//
Startup: function () {
MML = MathJax.ElementJax.mml;
if (window.DOMParser) {
this.parser = new DOMParser();
this.ParseXML = this.parseDOM;
} else if (window.ActiveXObject) {
var xml = ["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0",
"MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];
for (var i = 0, m = xml.length; i < m && !this.parser; i++)
{try {this.parser = new ActiveXObject(xml[i])} catch (err) {}}
if (!this.parser) MATHML.Error("Can't create XML parser for MathML");
this.parser.async = false;
this.ParseXML = this.parseMS;
} else {
this.div = MathJax.Hub.Insert(document.createElement("div"),{
style:{visibility:"hidden", overflow:"hidden", height:"1px",
position:"absolute", top:0}
});
if (!document.body.firstChild) {document.body.appendChild(this.div)}
else {document.body.insertBefore(this.div,document.body.firstChild)}
this.ParseXML = this.parseDIV;
}
}
});
MATHML.Parse.Entity = {
ApplyFunction: '\u2061',
Backslash: '\u2216',
Because: '\u2235',
Breve: '\u02D8',
Cap: '\u22D2',
CenterDot: '\u00B7',
CircleDot: '\u2299',
CircleMinus: '\u2296',
CirclePlus: '\u2295',
CircleTimes: '\u2297',
Congruent: '\u2261',
ContourIntegral: '\u222E',
Coproduct: '\u2210',
Cross: '\u2A2F',
Cup: '\u22D3',
CupCap: '\u224D',
Dagger: '\u2021',
Del: '\u2207',
Delta: '\u0394',
Diamond: '\u22C4',
DifferentialD: '\u2146',
DotEqual: '\u2250',
DoubleDot: '\u00A8',
DoubleRightTee: '\u22A8',
DoubleVerticalBar: '\u2225',
DownArrow: '\u2193',
DownLeftVector: '\u21BD',
DownRightVector: '\u21C1',
DownTee: '\u22A4',
Downarrow: '\u21D3',
Element: '\u2208',
EqualTilde: '\u2242',
Equilibrium: '\u21CC',
Exists: '\u2203',
ExponentialE: '\u2147',
FilledVerySmallSquare: '\u25AA',
ForAll: '\u2200',
Gamma: '\u0393',
Gg: '\u22D9',
GreaterEqual: '\u2265',
GreaterEqualLess: '\u22DB',
GreaterFullEqual: '\u2267',
GreaterLess: '\u2277',
GreaterSlantEqual: '\u2A7E',
GreaterTilde: '\u2273',
Hacek: '\u02C7',
Hat: '\u005E',
HumpDownHump: '\u224E',
HumpEqual: '\u224F',
Im: '\u2111',
ImaginaryI: '\u2148',
Integral: '\u222B',
Intersection: '\u22C2',
InvisibleComma: '\u2063',
InvisibleTimes: '\u2062',
Lambda: '\u039B',
Larr: '\u219E',
LeftAngleBracket: '\u2329',
LeftArrow: '\u2190',
LeftArrowRightArrow: '\u21C6',
LeftCeiling: '\u2308',
LeftDownVector: '\u21C3',
LeftFloor: '\u230A',
LeftRightArrow: '\u2194',
LeftTee: '\u22A3',
LeftTriangle: '\u22B2',
LeftTriangleEqual: '\u22B4',
LeftUpVector: '\u21BF',
LeftVector: '\u21BC',
Leftarrow: '\u21D0',
Leftrightarrow: '\u21D4',
LessEqualGreater: '\u22DA',
LessFullEqual: '\u2266',
LessGreater: '\u2276',
LessSlantEqual: '\u2A7D',
LessTilde: '\u2272',
Ll: '\u22D8',
Lleftarrow: '\u21DA',
LongLeftArrow: '\u27F5',
LongLeftRightArrow: '\u27F7',
LongRightArrow: '\u27F6',
Longleftarrow: '\u27F8',
Longleftrightarrow: '\u27FA',
Longrightarrow: '\u27F9',
Lsh: '\u21B0',
MinusPlus: '\u2213',
NestedGreaterGreater: '\u226B',
NestedLessLess: '\u226A',
NotDoubleVerticalBar: '\u2226',
NotElement: '\u2209',
NotEqual: '\u2260',
NotExists: '\u2204',
NotGreater: '\u226F',
NotGreaterEqual: '\u2271',
NotLeftTriangle: '\u22EA',
NotLeftTriangleEqual: '\u22EC',
NotLess: '\u226E',
NotLessEqual: '\u2270',
NotPrecedes: '\u2280',
NotPrecedesSlantEqual: '\u22E0',
NotRightTriangle: '\u22EB',
NotRightTriangleEqual: '\u22ED',
NotSubsetEqual: '\u2288',
NotSucceeds: '\u2281',
NotSucceedsSlantEqual: '\u22E1',
NotSupersetEqual: '\u2289',
NotTilde: '\u2241',
NotVerticalBar: '\u2224',
Omega: '\u03A9',
OverBar: '\u00AF',
OverBrace: '\uFE37',
PartialD: '\u2202',
Phi: '\u03A6',
Pi: '\u03A0',
PlusMinus: '\u00B1',
Precedes: '\u227A',
PrecedesEqual: '\u2AAF',
PrecedesSlantEqual: '\u227C',
PrecedesTilde: '\u227E',
Product: '\u220F',
Proportional: '\u221D',
Psi: '\u03A8',
Rarr: '\u21A0',
Re: '\u211C',
ReverseEquilibrium: '\u21CB',
RightAngleBracket: '\u232A',
RightArrow: '\u2192',
RightArrowLeftArrow: '\u21C4',
RightCeiling: '\u2309',
RightDownVector: '\u21C2',
RightFloor: '\u230B',
RightTee: '\u22A2',
RightTeeArrow: '\u21A6',
RightTriangle: '\u22B3',
RightTriangleEqual: '\u22B5',
RightUpVector: '\u21BE',
RightVector: '\u21C0',
Rightarrow: '\u21D2',
Rrightarrow: '\u21DB',
Rsh: '\u21B1',
Sigma: '\u03A3',
SmallCircle: '\u2218',
Sqrt: '\u221A',
Square: '\u25A1',
SquareIntersection: '\u2293',
SquareSubset: '\u228F',
SquareSubsetEqual: '\u2291',
SquareSuperset: '\u2290',
SquareSupersetEqual: '\u2292',
SquareUnion: '\u2294',
Star: '\u22C6',
Subset: '\u22D0',
SubsetEqual: '\u2286',
Succeeds: '\u227B',
SucceedsEqual: '\u2AB0',
SucceedsSlantEqual: '\u227D',
SucceedsTilde: '\u227F',
SuchThat: '\u220B',
Sum: '\u2211',
Superset: '\u2283',
SupersetEqual: '\u2287',
Supset: '\u22D1',
Therefore: '\u2234',
Theta: '\u0398',
Tilde: '\u223C',
TildeEqual: '\u2243',
TildeFullEqual: '\u2245',
TildeTilde: '\u2248',
UnderBar: '\u0332',
UnderBrace: '\uFE38',
Union: '\u22C3',
UnionPlus: '\u228E',
UpArrow: '\u2191',
UpDownArrow: '\u2195',
UpTee: '\u22A5',
Uparrow: '\u21D1',
Updownarrow: '\u21D5',
Upsilon: '\u03A5',
Vdash: '\u22A9',
Vee: '\u22C1',
VerticalBar: '\u2223',
VerticalTilde: '\u2240',
Vvdash: '\u22AA',
Wedge: '\u22C0',
Xi: '\u039E',
acute: '\u00B4',
aleph: '\u2135',
alpha: '\u03B1',
amalg: '\u2A3F',
and: '\u2227',
ang: '\u2220',
angmsd: '\u2221',
angsph: '\u2222',
ape: '\u224A',
backprime: '\u2035',
backsim: '\u223D',
backsimeq: '\u22CD',
beta: '\u03B2',
beth: '\u2136',
between: '\u226C',
bigcirc: '\u25EF',
bigodot: '\u2A00',
bigoplus: '\u2A01',
bigotimes: '\u2A02',
bigsqcup: '\u2A06',
bigstar: '\u2605',
bigtriangledown: '\u25BD',
bigtriangleup: '\u25B3',
biguplus: '\u2A04',
blacklozenge: '\u29EB',
blacktriangle: '\u25B4',
blacktriangledown: '\u25BE',
blacktriangleleft: '\u25C2',
bowtie: '\u22C8',
boxdl: '\u2510',
boxdr: '\u250C',
boxminus: '\u229F',
boxplus: '\u229E',
boxtimes: '\u22A0',
boxul: '\u2518',
boxur: '\u2514',
bsol: '\u005C',
bull: '\u2022',
cap: '\u2229',
check: '\u2713',
chi: '\u03C7',
circ: '\u02C6',
circeq: '\u2257',
circlearrowleft: '\u21BA',
circlearrowright: '\u21BB',
circledR: '\u00AE',
circledS: '\u24C8',
circledast: '\u229B',
circledcirc: '\u229A',
circleddash: '\u229D',
clubs: '\u2663',
colon: '\u003A',
comp: '\u2201',
ctdot: '\u22EF',
cuepr: '\u22DE',
cuesc: '\u22DF',
cularr: '\u21B6',
cup: '\u222A',
curarr: '\u21B7',
curlyvee: '\u22CE',
curlywedge: '\u22CF',
dagger: '\u2020',
daleth: '\u2138',
ddarr: '\u21CA',
deg: '\u00B0',
delta: '\u03B4',
digamma: '\u03DD',
div: '\u00F7',
divideontimes: '\u22C7',
dot: '\u02D9',
doteqdot: '\u2251',
dotplus: '\u2214',
dotsquare: '\u22A1',
dtdot: '\u22F1',
ecir: '\u2256',
efDot: '\u2252',
egs: '\u2A96',
ell: '\u2113',
els: '\u2A95',
empty: '\u2205',
epsi: '\u03F5',
epsiv: '\u03B5',
erDot: '\u2253',
eta: '\u03B7',
eth: '\u00F0',
flat: '\u266D',
fork: '\u22D4',
frown: '\u2322',
gEl: '\u2A8C',
gamma: '\u03B3',
gap: '\u2A86',
gimel: '\u2137',
gnE: '\u2269',
gnap: '\u2A8A',
gne: '\u2A88',
gnsim: '\u22E7',
gt: '\u003E',
gtdot: '\u22D7',
harrw: '\u21AD',
hbar: '\u210F',
hellip: '\u2026',
hookleftarrow: '\u21A9',
hookrightarrow: '\u21AA',
imath: '\u0131',
infin: '\u221E',
intcal: '\u22BA',
iota: '\u03B9',
kappa: '\u03BA',
kappav: '\u03F0',
lEg: '\u2A8B',
lambda: '\u03BB',
lap: '\u2A85',
larrlp: '\u21AB',
larrtl: '\u21A2',
lbrace: '\u007B',
lbrack: '\u005B',
le: '\u2264',
leftleftarrows: '\u21C7',
leftthreetimes: '\u22CB',
lessdot: '\u22D6',
lmoust: '\u23B0',
lnE: '\u2268',
lnap: '\u2A89',
lne: '\u2A87',
lnsim: '\u22E6',
longmapsto: '\u27FC',
looparrowright: '\u21AC',
lowast: '\u2217',
lowbar: '\u005F',
loz: '\u25CA',
lt: '\u003C',
ltimes: '\u22C9',
ltri: '\u25C3',
malt: '\u2720',
mho: '\u2127',
mu: '\u03BC',
multimap: '\u22B8',
nVDash: '\u22AF',
nVdash: '\u22AE',
natur: '\u266E',
nearr: '\u2197',
nhArr: '\u21CE',
nharr: '\u21AE',
nlArr: '\u21CD',
nlarr: '\u219A',
not: '\u00AC',
nrArr: '\u21CF',
nrarr: '\u219B',
nu: '\u03BD',
nvDash: '\u22AD',
nvdash: '\u22AC',
nwarr: '\u2196',
omega: '\u03C9',
or: '\u2228',
osol: '\u2298',
period: '\u002E',
phi: '\u03D5',
phiv: '\u03C6',
pi: '\u03C0',
piv: '\u03D6',
prap: '\u2AB7',
precnapprox: '\u2AB9',
precneqq: '\u2AB5',
precnsim: '\u22E8',
prime: '\u2032',
psi: '\u03C8',
rarrtl: '\u21A3',
rbrace: '\u007D',
rbrack: '\u005D',
rho: '\u03C1',
rhov: '\u03F1',
rightrightarrows: '\u21C9',
rightthreetimes: '\u22CC',
ring: '\u02DA',
rmoust: '\u23B1',
rtimes: '\u22CA',
rtri: '\u25B9',
scap: '\u2AB8',
scnE: '\u2AB6',
scnap: '\u2ABA',
scnsim: '\u22E9',
sdot: '\u22C5',
searr: '\u2198',
sect: '\u00A7',
sharp: '\u266F',
sigma: '\u03C3',
sigmav: '\u03C2',
simne: '\u2246',
smile: '\u2323',
spades: '\u2660',
sub: '\u2282',
subE: '\u2AC5',
subnE: '\u2ACB',
subne: '\u228A',
supE: '\u2AC6',
supnE: '\u2ACC',
supne: '\u228B',
swarr: '\u2199',
tau: '\u03C4',
theta: '\u03B8',
thetav: '\u03D1',
tilde: '\u02DC',
times: '\u00D7',
triangle: '\u25B5',
triangleq: '\u225C',
upsi: '\u03C5',
upuparrows: '\u21C8',
veebar: '\u22BB',
vellip: '\u22EE',
weierp: '\u2118',
xi: '\u03BE',
yen: '\u00A5',
zeta: '\u03B6',
zigrarr: '\u21DD'
};
MATHML.loadComplete("jax.js");
})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
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