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TamerRizk/mathKey.js

Last active February 11, 2019 21:45
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mathKey
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mathKey.js
/*
mathKey.js: Copyright (c) 2018-2028 TR (tr[at]mathkey.org)
By exercising any rights granted by this license (the "License"), You agree and accept to be bound by the terms and conditions herein. To the extent that the License may be interpreted as a contract, You are granted consideration of Your agreement with these terms and conditions by consideration for your utility of (the "Software", "mathKey.js"), and the Copyright (the "Licensor", "TR") specified in the notice above is granted consideration for utilitizing the software from acceptance of the Software through its utilization.
Subject to Your agreement to be bound by the terms and conditions herein the Licensor hereby grants You a worldwide, royalty-free, non-sublicensable, non-exclusive, irrevocable License that shall permit You to deal in the Software and permit those upon whom You furnish the Software to use the Software, without limitation to Your rights to use, link to, copy, and/or sell copies of the Software, subject to the following terms and conditions:
Any alteration, arrangement, transformation, or other modification of the Software is an Adapted Work. Any process of publication to alter, arrange, transform, or otherwise modify the Software to an Adapted Work is disclosure of Adapted Work.
You may exercise rights to alter, arrange, transform, or otherwise modify the Software subject to the former and following terms and conditions:
Except in disclosure and distribution as part of the Software through express consent of the Licensor, Adapted Work shall not be disclosed or distributed to any recipient without such recipient of express prior agreement to not publish such Adapted Work. The Text of the License must be included in such Adapted Work.
Rights are hereby granted, free of charge, for You to publish and distribute the Software subject to the former and following terms and conditions:
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
The full text of the License, from the above Copyright notice to this license notice, (the "Text") must be included in all copies or substantial portions of the Software.
This is MathKey version 0.33
With special thanks to ASCIIMathML.js:
Peter Jipsen http://www.chapman.edu/~jipsen
Douglas Woodall
Paulo Soares
*/
var __hashSum = function(){
/******************************************************************************************/
/* hashSum */
/******************************************************************************************/
/*
The object of return by this function, and following this notice, is made available under:
The MIT License (MIT)
Copyright (c) 2014 Nicolas Bevacqua
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
the Software, and to permit persons to whom the Software is furnished to do so,
subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE
*/
var hs = {};
hs.pad = function(hash, len) {
while (hash.length < len) {
hash = '0' + hash;
}
return hash;
};
hs.fold = function(hash, text) {
var i, chr, len;
if ((len=text.length) === 0) {
return hash;
}
for(i=-1; len>++i;) {
chr = text.charCodeAt(i);
hash = ((hash << 5) - hash) + chr;
hash |= 0;
}
return hash < 0 ? hash * -2 : hash;
};
hs.foldObject = function(hash, o, seen) {
var foldKey = function(hash, key) {
return hs.foldValue(hash, o[key], key, seen);
};
return Object.keys(o).sort().reduce(foldKey, hash);
};
hs.foldValue = function (input, value, key, seen) {
var hash = hs.fold(hs.fold(hs.fold(input, key), Object.prototype.toString.call(hs.normalize(value))), typeof value);
if (value === null) {
return hs.fold(hash, 'null');
}
if (value === undefined) {
return hs.fold(hash, 'undefined');
}
if (typeof value === 'object') {
if (seen.indexOf(value) !== -1) {
return hs.fold(hash, '[Circular]' + key);
}
seen.push(value);
return hs.foldObject(hash, value, seen);
}
return hs.fold(hash, hs.normalize(value).toString());
};
hs.normalize = !!String.prototype.normalize ? function(s){
return 'string'==typeof s? s.normalize() : s;
} : function(s){ return s; }; //see unorm polyfill
hs.hash = function(o) {
return hs.pad(hs.normalize(hs.foldValue(0, o, '', [])).toString(16), 8);
};
return hs;
};
/******************************************************************************************/
var __levenshtein = function(value='', other='', insensitive=false){
/******************************************************************************************/
/* levenshtein-edit-distance */
/******************************************************************************************/
/*
This function is made available under:
The MIT License (MIT)
Copyright (c) 2018 Titus Wormer
(License text incorporated by reference)
*/
var cache = [], codes = [], length, lengthOther, code, result, distance, distanceOther, index, indexOther;
if (value === other) {
return 0
}
length = value.length;
lengthOther = other.length;
if (length === 0) {
return lengthOther;
}
if (lengthOther === 0) {
return length;
}
if (!!insensitive) {
value = value.toLowerCase();
other = other.toLowerCase();
}
index = 0;
while (index < length) {
codes[index] = value.charCodeAt(index);
cache[index] = ++index;
}
indexOther = 0;
while (indexOther < lengthOther) {
code = other.charCodeAt(indexOther);
result = distance = indexOther++;
index = -1;
while (++index < length) {
distanceOther = code === codes[index] ? distance : distance + 1;
distance = cache[index];
cache[index] = result =
distance > result ?
distanceOther > result ? result + 1 : distanceOther
:
distanceOther > distance ? distance + 1 : distanceOther;
}
}
return result;
};
/******************************************************************************************/
(function (root, factory) {
if (typeof define === 'function' && define.amd) {
define([], factory);
} else if ((typeof module === 'object' || typeof exports === 'object') && module.exports) {
module.exports = factory();
} else {
root.mathKey = factory();
}
}(typeof self !== 'undefined' ? self : this, function () {
var conf = {
checkformathml: true,
notifyifnomathml: false,
notifywarnings: true,
notifywarningscallback: null,
translateonstart: true,
document: null,
autostart: true,
translateclass: '_MK_',
fallbackcssurl: '/mathml-mozilla.css', // or mathml-w3c.css ... see: https://developer.mozilla.org/en-US/docs/Mozilla/MathML_Project/test-mathml-css and https://www.w3.org/TR/MathML2/appendixg.html
fallbackliburl: 'https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js', //if available, ex: https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/latest.js or http://www.wiris.com/quizzes/demo/generic/quizzes/resources/quizzes.js
mstyle:{displaystyle:'true', scriptsizemultiplier:'0.8', scriptminsize:'6px', mathcolor:'', fontfamily:'serif'},
manage:'`',
managementinterface: null
}, mk = null;
// token types
var mkDef = {VAR:0, UNARY:1, BINARY:2, INFIX:3, LEFTBRACKET:4, RIGHTBRACKET:5, LEFTRIGHT:6, SHAPE:7, SPACE:8, UNDEROVER:9, DIFFERENTIAL:10, TEXT:11, PHANTOM: 12, NONE: 13, MULTI:14, CONST:15, STYLE:16}, mkRdef ={};
for(mk in mkDef){
eval('var '+mk+'='+mkDef[mk]+';');
mkRdef[mkDef[mk]]=mk;
}
mk = {init:null};
var mkDebug = false, errorBuf = [], userAgent = '', mkMathns = 'http://www.w3.org/1998/Math/MathML', mkDoc, mkHasMathML = false, mkConfigured = false, mkReady = false, mkTranslated = 0, mkTsp={mo:0.7}, mkCk = false, mkFallback = '', mkFallbackCSS = '', mkLineHeight = 5, mkFields = {},
mkMng = {html:['<div style="background-color: #ffffff;display:inline-block;width:700px;box-shadow: 3px 3px 3px #000; padding:5px 0 15px 0; position:relative;"><div style="text-align:right;height:10px;width:100%;"><div style="height:10px;color:#aaaaaa;font-weight: 600;user-select: none;cursor: pointer;width:20px;font-size:14px;display:inline-block;margin-right:7px;line-height:14px" onclick="this.parentNode.parentNode.parentNode.style.display=\'none\'" aria-label="close this panel" tabIndex="0">X</div></div><table border="0" cellspacing="0" cellpadding="0" width="100%" style="width: 620px; max-width: 620px; display:inline-block;"><tr><td style="text-align:right;height:10px;"><span class="mathKeyFex" style="font-size: 9px;font-family: times;float: left;white-space: nowrap;text-align: left;max-width:500px;overflow:hidden;"></span><span style="position:relative;top:38px;cursor:pointer;font-size:9px;color:#666666;text-decoration:underline;" onclick="mathKey.manageReset();">reset definitions</span></td><td></td><td rowspan="3" style="vertical-align:middle;text-align:center;width:225px" class="mathKeyOutput"></td></tr><tr><td style="text-align:left;vertical-align:bottom;height:25px;width:410px;"><input type="text" class="mathKeyInput" onkeyup="mathKey.manageInput()" placeholder="New symbol entry" style="width:400px;height:20px;border:1px solid #ccc;font-size:10px;"></td><td style="text-align:left;vertical-align:bottom;text-align:left;"><button style="cursor:pointer;width:40px;height:24px;font-size:11px;" onclick="mathKey.manageAdd()">Add</button></td></tr><tr><td style="text-align:left;height:40px;"><select style="width:280px;height:20px;border:1px solid #ccc;font-size:10px;margin-right:5px;" class="mathKeyFields" onclick="mathKey.manageFieldData();"><option value="" style="color:#cccccc">--fields--</option></select><span style="cursor:pointer;font-size:12px;color:#444;background:#ccc;border:1px solid #999999;line-height:12px;padding:0 3px 0 3px;" onclick="mathKey.manageField();">&#9650;</span></td><td></td></tr></table><table border="0" cellspacing="0" cellpadding="0" width="100%" style="border: 1px solid #ddd; border-radius: 5px; width: 620px; max-width: 620px; display:inline-block;font-family: Times, serif;font-size:10px;">', '<tr>',
'<td style="cursor: pointer; text-align:center;vertical-align:middle;background:%MKROWCOLOR%;padding: 2px;height: 25px !important;overflow: hidden;border-bottom: 1px solid #ccc;outline:none;width:50px;max-width:50px;" onclick="mathKey.manageCopy(this.parentNode)"><span class="mathKeyTranslateDict">%MKDICT%</span></td><td style="cursor: pointer;font-family: monospace; text-align:left;vertical-align:middle;width:540px;max-width:540px;background:%MKROWCOLOR%;padding: 2px;height: 25px !important;overflow: hidden;border-bottom: 1px solid #ccc;outline:none;" onclick="mathKey.manageCopy(this.parentNode)">{%MKENTRY%}</td><td style="border-bottom: 1px solid #ccc;outline:none;font-size:10px;text-align:center;vertical-align:middle;;user-select: none;width:25px;background:%MKROWCOLOR%;cursor: pointer;color:#ff0000" onclick="mathKey.manageDelete(this.parentNode);">X</td>', '</tr>', '</table></div>'], rowcolors:['#ffffff','#fcfcfc'], style: {display:'none', position:'absolute', zIndex:'2147483636', width:'100%', height:'1000%', top:'0', left:'0', textAlign:'center', background:'rgba(0,0,0,0.8)'}},
mkLoading = new Image();
mkLoading.height=16;
mkLoading.width=16;
mkLoading.className = '__mkLoading';
mkLoading.src='data:image/gif;base64,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';
var mkCref = [{'&gt;':'>','&lt;':'<','&amp;':'&','&quot;':'"','&GT;':'>','&LT;':'<','&AMP;':'&','&QUOT;':'"','(:':'\u2774',':)':'\u2775', '||':'\u2228', '^|^':'uparrow','.|.':'downarrow','___':'\uff3f\uff3f','__':'\uff3f','\uff3f_':'\uff3f\uff3f'},{':\\:':'\uff3c','\\_':'\uff0f','|--':'\u27cc ','+/-':'\u00B1','___':'\uff3f\uff3f','__':'\uff3f','\uff3f_':'\uff3f\uff3f'}],
mkParen = [{'\u2774':'\u2775','(':')','{':'}','[':']'}];
mkParen[1] = {};
mkParen[2] = {};
Object.keys(mkParen[0]).filter(function(k){ mkParen[1][mkParen[0][k]]=k; 255>k.charCodeAt(0)&&(mkParen[2][k]=mkParen[0][k])&&(mkParen[2][mkParen[0][k]]=k);});
var mkSync = {}, mkToParseSo={}, mkCopying=null, mkCCopy = 0, mkExt={sn:{},ref:{},id:{},img:{},cache:['','','','']}, mkOrigin={}, mkRorigin={}, mkFrames = {}, mkFrameUrl = {}, mkFromMathKey, mkUrl, mkTo = {pmInteractive:[100,50], fDoc:[500,5], fStart:[2000,1], wfpmInteractive:[5000,1], checkForId:[250,30]},
mkRand = [], mkHashSum = __hashSum(), mkSig = {'06e42274':true,'5e218b5f':true};
var mkNames = {}, mkRnames = {}, mkBak = [], mkBakNames={}, mkSym = [], mkRLength = 0,
mkElementPhantom = {symbol:{input:'', ptag:'mrow', output:'', type:PHANTOM}, pos:0, text:''},
mkSymbolNone = {input:'', ptag:'mi', output:'', type:NONE},
mkSymbolMulti = {input:'', ptag:'mrow', output:'', type:MULTI};
var mkSymbols = [
{input:'alpha', ptag:'mi', output:'\u03B1', type:VAR, sym:true},
{input:'beta', ptag:'mi', output:'\u03B2', type:VAR, sym:true},
{input:'chi', ptag:'mi', output:'\u03C7', type:VAR, sym:true},
{input:'delta', ptag:'mi', output:'\u03B4', type:VAR, sym:true},
{input:'Delta', ctag:'minus', csymbol: 'displacement', ptag:'mi', output:'\u0394', type:VAR, sym:true, functional: BINARY, isprefixop:true, paren:true},
{input:'epsilon', ptag:'mi', output:'\u03B5', type:VAR, sym:true},
{input:'varepsilon', ptag:'mi', output:'\u025B', type:VAR, sym:true},
{input:'eta', ptag:'mi', output:'\u03B7', type:VAR, sym:true},
{input:'gamma', ptag:'mi', output:'\u03B3', type:VAR, sym:true},
{input:'Gamma', ptag:'mi', output:'\u0393', type:VAR, functional: UNARY, paren:true},
{input:'iota', ptag:'mi', output:'\u03B9', type:VAR, sym:true},
{input:'kappa', ptag:'mi', output:'\u03BA', type:VAR, sym:true},
{input:'lambda', ctag:'lambda', ptag:'mi', output:'\u03BB', type:VAR, sym:true, functional: UNARY, paren:true},
{input:'Lambda', ptag:'mi', output:'\u039B', type:VAR, functional: UNARY, paren:true},
{input:'mu', ptag:'mi', output:'\u03BC', type:VAR, sym:true},
{input:'nu', ptag:'mi', output:'\u03BD', type:VAR, sym:true},
{input:'omega', ptag:'mi', output:'\u03C9', type:VAR, sym:true},
{input:'Omega', ptag:'mi', output:'\u03A9', type:VAR, sym:true, functional: UNARY, paren:true},
{input:'phi', ptag:'mi', output:'\u03C6', type:VAR, sym:true},
{input:'varphi', ptag:'mi', output:'\u03D5', type:VAR, sym:true},
{input:'Phi', ptag:'mi', output:'\u03A6', type:VAR, sym:true, functional: UNARY, paren:true},
{input:'pi', ctag:'pi', ptag:'mi', output:'\u03C0', type:CONST, sym:true},
{input:'Pi', ptag:'mi', ctag:'product', output:'\u220F', type:UNDEROVER, sym:true, functional: UNARY, sov:true},
{input:'prod', ptag:'mo', ctag:'product', output:'\u220F', type:UNDEROVER, sov:true},
{input:'Sigma', ptag:'mi', ctag:'sum', output:'\u2211', type:UNDEROVER, sov:true, functional:UNARY, separators:'+'},
{input:'sum', ptag:'mo', ctag:'sum', output:'\u2211', type:UNDEROVER, sov:true, separators:'+'},
{input:'stdev', ptag:'mo', ctag:'sdev', output:'\u03C3', type:UNARY, paren:true, sov:true},
{input:'sigma', ptag:'mi', ctag:'sdev', output:'\u03C3', type:VAR, sym:true, functional: UNARY, sov:true, separators:'',paren:true},
{input:'sigma2', ptag:'mi', ctag:'variance', output:'\u03C3\u00B2', type:VAR, sym:true, functional: UNARY, sov:true, paren:true},
{input:'vari', ptag:'mo', ctag:'variance', output:'\u03C3\u00B2', type:UNARY, paren:true, sov:true},
{input:'div', ptag:'mo', ctag:'divergence', output:'\u2207\u22C5', type:UNARY},
{input:'grad', ptag:'mo', ctag:'grad', output:'\u2207', type:UNARY, paren:true},
{input:'curl', ptag:'mo', ctag:'curl', output:'\u2207\u00D7', type:VAR, functional: UNARY},
{input:'nab2', ptag:'mi', ctag:'laplacian', output:'\u2207\u00B2', type:VAR, sym:true, functional: UNARY,paren:true},
{input:'Lap', ptag:'mi', ctag:'laplacian', output:'\u2112', type:VAR, paren:true, functional:UNARY, separators:'',sov:true},
{input:'psi', ptag:'mi', output:'\u03C8', type:VAR, sym:true},
{input:'Psi', ptag:'mi', output:'\u03A8', type:VAR, sym:true, functional: UNARY, paren:true},
{input:'rho', ptag:'mi', output:'\u03C1', type:VAR, sym:true},
{input:'tau', ptag:'mi', output:'\u03C4', type:VAR, sym:true},
{input:'theta', ptag:'mi', output:'\u03B8', type:VAR, sym:true},
{input:'vartheta', ptag:'mi', output:'\u03D1', type:VAR, sym:true},
{input:'Theta', ptag:'mi', output:'\u0398', type:VAR, sym:true, functional: UNARY, paren:true},
{input:'upsilon', ptag:'mi', output:'\u03C5', type:VAR, sym:true},
{input:'xi', ptag:'mi', output:'\u03BE', type:VAR, sym:true},
{input:'Xi', ptag:'mi', output:'\u039E', type:VAR, sym:true, functional: UNARY, paren:true},
{input:'zeta', ptag:'mi', output:'\u03B6', type:VAR, sym:true},
{input:'euler', ctag:'eulergamma', ptag:'mi', output:'\u03B3', type:CONST, sym:true},
{input:'+', ptag:'mo', ctag:'plus', output:'+', type:CONST, arith:true, pri:true},
{input:'-', ptag:'mo', ctag:'minus', output:'-', type:CONST, arith:true, pri:true},
{input:'**', ptag:'mo', ctag:'times', output:'\u00D7', type:CONST, arith: true},
{input:'*', ptag:'mo', ctag:'times', output:'*', type:CONST, arith: true},
{input:'/', ptag:'mfrac', ctag:'divide', output:'/', type:INFIX, arith:true},
{input:'-:', ptag:'mo', ctag:'divide', output:'\u00F7', type:CONST, arith:true},
{input:'\u27cc', vinput:'|--', ptag:'mlongdiv', ctag:'divide', output:'\u27cc', type:INFIX, infixop:true, arith:true, infixswap:1},
{input:'.*', ptag:'mo', ctag:'scalarproduct', output:'\u22C5', type:CONST, arith:true},
{input:'~*', ptag:'mo', ctag:'vectorproduct', output:'\u00D7', type:CONST, arith:true},
{input:'@*', ptag:'mo', ctag:'outerproduct', output:'\u2297', type:CONST, arith:true},
{input:'@', ptag:'mi', ctag:'compose' , output:'\u26AC', type:CONST, arith:true},
{input:'_', ptag:'msub', output:'_', type:INFIX},
{input:'^', ptag:'msup', output:'^', type:INFIX},
{input:'!', ptag:'mo', ctag:'factorial', output:'!', type:CONST, issuffixop:true},
{input:'\u00B1', vinput:'+/-', ctag:'plusminus', ptag:'mo', output:'\u00B1', type:CONST, arith:true, pri:true},
{input:'%', ctag:'rem', ptag:'mo', output:'mod', type:INFIX, infixop:true},
{input:'\uff0f', vinput:'\\_', ctag:'ci', ptag:'mo', output:'\u2220', type:INFIX, infixop:true, ctype:'complex-polar'},
{input:'imgi', ctag:'imaginaryi', ptag:'mi', output:'\u2170', type:CONST, sym:true},
{input:'Real', ctag:'real', ptag:'mo', output:'\u211b', type:UNARY, paren:true},
{input:'Imag', ctag:'imaginary', ptag:'mo', output:'\u2111', type:UNARY, paren:true},
{input:'Argu', ctag:'arg', ptag:'mo', output:'Arg', type:UNARY, paren:true},
{input:'Conj', ctag:'conjugate', ptag:'mover', output:'\u00AF', type:UNARY, acc:true, functional:true},
{input:'bar', ptag:'mover', ctag:'conjugate', output:'\u00AF', type:CONST, acc:true, functional:true},
{input:'=', ptag:'mo', ctag:'eq', output:'=', type:CONST, eq:true},
{input:'==', ptag:'mo', ctag:'equivalent', output:'\u2261', type:CONST, eq:true},
{input:'~=', ptag:'mo', ctag:'equivalent', output:'\u2245', type:CONST, eq:true},
{input:'~~', ptag:'mo', ctag:'approx', output:'\u2248', type:CONST, eq:true},
{input:'=~', ptag:'mo', ctag:'factorof', output:'\u221D', type:CONST, eq:true}, //not entirely accurate
{input:'!=', ptag:'mo', ctag:'neq', output:'\u2260', type:CONST, eq:true},
{input:':=', ptag:'mo', ctag:'eq', output:':=', type:CONST, eq:true},
{input:'<', ptag:'mo', ctag:'lt', output:'<', type:CONST, eq:true},
{input:'>', ptag:'mo', ctag:'gt', output:'>', type:CONST, eq:true},
{input:'<=', ptag:'mo', ctag:'leq', output:'\u2264', type:CONST, eq:true},
{input:'>=', ptag:'mo', ctag:'geq', output:'\u2265', type:CONST, eq:true},
{input:'->', ptag:'mo', ctag:'tendsto', output:'\u2192', type:CONST, rel:true},
{input:'=>', ptag:'mo', ctag:'implies', output:'\u21D2', type:CONST, rel:true},
{input:'if:', ptag:'mo', output:'if', ctag:'if', type:CONST, fi:true }, ///////////
{input:'\u01c0', vinput:'|', ptag:'mo', ctag:'condition' , output:'|', type:CONST, cond:true,arith:true,ipop:true},
{input:'...', ptag:'mo', output:'...', type:SHAPE},
{input:':.', ptag:'mo', output:'\u2234', type:SHAPE},
{input:'&&', ptag:'mo', ctag:'and', output:'\u2227', type:CONST, logic:true, pri:true},
{input:'\u2228', vinput:'||', ptag:'mo', ctag:'or', output:'\u2228', type:CONST, logic:true, pri:true},
{input:'`', ptag:'mo', ctag:'not', output:'\'', type:CONST, issuffixop:true},
{input:'true', ctag:'true', ptag:'mi', output:'true', type:CONST, sym:true},
{input:'false', ctag:'false', ptag:'mi', output:'false', type:CONST, sym:true},
{input:':n:', ptag:'mo', ctag:'intersect', output:'\u2229', type:CONST, setop:true, pri:true},
{input:':u:', ptag:'mo', ctag:'union', output:'\u222A', type:CONST, setop:true, pri:true},
{input:':in:', ptag:'mo', ctag:'in', output:'\u2208', type:CONST, setop:true},
{input:'!in:', ptag:'mo', ctag:'notin', output:'\u2209', type:CONST, setop:true},
{input:':c:', ptag:'mo', ctag:'prsubset', output:'\u2282', type:CONST, setop:true},
{input:'!c:', ptag:'mo', ctag:'notprsubset', output:'\u2282', type:CONST, setop:true},
{input:':c::', ptag:'mo', ctag:'subset', output:'\u2286', type:CONST, setop:true},
{input:'!c::', ptag:'mo', ctag:'notsubset', output:'\u2288', type:CONST, setop:true},
{input:'\uff3c', vinput:':\\:', ptag:'mo', ctag:'setdiff', output:'\\', type:CONST, setop:true, ipop:true},
{input:':*:', ptag:'mo', ctag:'cartesianproduct', output:'\u00D7', type:CONST, setop:true, ipop:true},
{input:'O/', ctag:'emptyset', ptag:'mi', output:'\u2205', type:CONST, sym:true},
{input:'#_', ptag:'mo', ctag:'floor', output:'\u230A', append:'\u230B', type:CONST, isprefixop:true},
{input:'#^', ptag:'mo', ctag:'ceiling', output:'\u2308', append:'\u2309', type:CONST, isprefixop:true},
{input:'gcd', ptag:'mo', ctag:'gcd', output:'gcd', type:UNARY, sov:true, paren:true},
{input:'lcm', ptag:'mo', ctag:'lcm', output:'lcm', type:UNARY, sov:true, paren:true},
{input:'mean', ptag:'mo', ctag:'mean', output:'mean', type:UNARY, sov:true, paren:true},
{input:'mode', ptag:'mo', ctag:'mode', output:'glb', type:UNARY, sov:true, paren:true},
{input:'min', ptag:'mo', ctag:'min', output:'min', type:UNARY,sov:true, paren:true},
{input:'max', ptag:'mo', ctag:'max', output:'max', type:UNARY, sov:true, paren:true},
//grouping brackets
{input:'&#x200b;', ptag:'mo', output:'\u200B', type:SPACE, invisible:true},
{input:',', ptag:'mo', output:',', type:CONST, sep:true},
{input:'(', ptag:'mo', output:'(', type:LEFTBRACKET},
{input:')', ptag:'mo', output:')', type:RIGHTBRACKET},
{input:'[', ptag:'mo', output:'[', type:LEFTBRACKET},
{input:']', ptag:'mo', output:']', type:RIGHTBRACKET},
{input:'{', ptag:'mo', output:'{', type:LEFTBRACKET},
{input:'}', ptag:'mo', output:'}', type:RIGHTBRACKET},
{input:'|', ptag:'mo', output:'|', type:LEFTRIGHT},
{input:'\\', ptag:'mo', output:'(', type:LEFTBRACKET},
{input:'\u2774', vinput:'(:', ptag:'mo', output:'\u2774', type:LEFTBRACKET},
{input:'\u2775', vinput:':)', ptag:'mo', output:'\u2775', type:RIGHTBRACKET},
{input:'\'', ptag:'mo', ctag:'diff', output:'\'', type:CONST, issuffixop:true},
{input:'int', ctag:'int', ptag:'mo', output:'\u222B', type:UNARY, integral:true},
{input:'d', ctag:'diff', ptag:'mo', output:'d', iscalcop:true, type:DIFFERENTIAL, carry:true},
{input:'dd', ctag:'partialdiff', ptag:'mo', output:'\u2202', iscalcop:true, type:DIFFERENTIAL, carry:true},
{input:'oint', ctag:'int', ptag:'mo', output:'\u222E', type:UNARY, integral:true},
{input:'oo', ctag:'infinity', ptag:'mi', output:'\u221E', type:CONST, sym:true},
{input:'NaN', ctag:'notanumber', ptag:'mi', output:'NaN', type:CONST, sym:true},
{input:'CC', ctag:'complexes', ptag:'mi', output:'\u2102', type:CONST, sym:true},
{input:'NN', ctag:'naturalnumbers', ptag:'mi', output:'\u2115', type:CONST, sym:true},
{input:'QQ', ctag:'rationals', ptag:'mi', output:'\u211A', type:CONST, sym:true},
{input:'RR', ctag:'reals', ptag:'mi', output:'\u211D', type:CONST, sym:true},
{input:'ZZ', ctag:'integers', ptag:'mi', output:'\u2124', type:CONST, sym:true},
{input:'F', ptag:'mi', output:'F', type:VAR, functional:true, ctype:'function',paren:true},
{input:'f', ptag:'mi', output:'f', type:VAR, functional:true, ctype:'function',paren:true},
{input:'g', ptag:'mi', output:'g', type:VAR, functional:true, ctype:'function',paren:true},
{input:'\uff45', ctag:'exp', ptag:'mi', output:'\uff45', type:CONST, eop:true},
{input:'exp', ctag:'exp', ptag:'mi', output:'\uff45', type:VAR, functional:UNARY, paren:true},
{input:'lim', ctag:'limit', ptag:'mo', output:'lim', type:UNDEROVER},
{input:'Lim', ctag:'limit', ptag:'mo', output:'Lim', type:UNDEROVER},
{input:'sin', ctag:'sin', ptag:'mo', output:'sin', type:UNARY, paren:true},
{input:'cos', ctag:'cos', ptag:'mo', output:'cos', type:UNARY, paren:true},
{input:'tan', ctag:'tan', ptag:'mo', output:'tan', type:UNARY, paren:true},
{input:'sinh', ctag:'sinh', ptag:'mo', output:'sinh', type:UNARY, paren:true},
{input:'cosh', ctag:'cosh', ptag:'mo', output:'cosh', type:UNARY, paren:true},
{input:'tanh', ctag:'tanh', ptag:'mo', output:'tanh', type:UNARY, paren:true},
{input:'cot', ctag:'cot', ptag:'mo', output:'cot', type:UNARY, paren:true},
{input:'sec', ctag:'sec', ptag:'mo', output:'sec', type:UNARY, paren:true},
{input:'csc', ctag:'csc', ptag:'mo', output:'csc', type:UNARY, paren:true},
{input:'arcsin', ctag:'arcsin', ptag:'mo', output:'arcsin', type:UNARY, paren:true},
{input:'arccos', ctag:'arccos', ptag:'mo', output:'arccos', type:UNARY, paren:true},
{input:'arctan', ctag:'arctan', ptag:'mo', output:'arctan', type:UNARY, paren:true},
{input:'arccot', ctag:'arccot', ptag:'mo', output:'arccot', type:UNARY, paren:true},
{input:'arcsec', ctag:'arcsec', ptag:'mo', output:'arcsec', type:UNARY, paren:true},
{input:'arccsc', ctag:'arccsc', ptag:'mo', output:'arccsc', type:UNARY, paren:true},
{input:'arcsinh', ctag:'arcsinh', ptag:'mo', output:'arcsinh', type:UNARY, paren:true},
{input:'arccosh', ctag:'arccosh', ptag:'mo', output:'arccosh', type:UNARY, paren:true},
{input:'arctanh', ctag:'arctanh', ptag:'mo', output:'arctanh', type:UNARY, paren:true},
{input:'arccoth', ctag:'arccoth', ptag:'mo', output:'arccoth', type:UNARY, paren:true},
{input:'arcsech', ctag:'arcsech', ptag:'mo', output:'arcsech', type:UNARY, paren:true},
{input:'arccsch', ctag:'arccsch', ptag:'mo', output:'arccsch', type:UNARY, paren:true},
{input:'log', ctag:'log', barge:['_logbase',10], ptag:'mo', output:'log', type:UNARY, paren:true},
{input:'ln', ctag:'ln', ptag:'mo', output:'ln', type:UNARY, paren:true},
{input:'det', ctag:'determinant', ptag:'mo', output:'det', type:UNARY},
//shapes
{input:'---', ptag:'mi', output: '\u203e\u203e\u203e', type:SHAPE, shape:'line'},
{input:'\uff3f', vinput:'__', ptag:'mi', output: '\uff3f', type:SHAPE},
{input:'uparrow', vinput:'^|^', ptag:'mi', output:'\u2191', type:SHAPE},
{input:'downarrow', vinput:'.|.', ptag:'mi', output:'\u2193', type:SHAPE},
{input:'-->', ptag:'mi', output:'\u2192', type:SHAPE},
{input:'<--', ptag:'mi', output:'\u2190', type:SHAPE},
{input:'<->', ptag:'mi', output:'\u2194', type:SHAPE},
{input:'==>', ptag:'mi', output:'\u21D2', type:SHAPE},
{input:'<==', ptag:'mi', output:'\u21D0', type:SHAPE},
{input:'<=>', ptag:'mi', output:'\u21D4', type:SHAPE},
{input:'***', ptag:'mi', output:'\u22C6', type:VAR, sym:true},
{input:'diamond', ptag:'mi', output:'\u22C4', type:VAR, sym:true},
{input:'square', ptag:'mi', output:'\u25A1', type:VAR, sym:true},
{input:'sqrt', ctag:'root', barge:['degree',2], ptag:'msqrt', output:'msqrt', type:UNARY, paren:true},
{input:'root', ptag:'mroot', ctag:'root', barge:['degree',1], output:'mroot', type:BINARY, paren:true},
{input:'stackrel', ptag:'mrow', output:'mrow', type:BINARY},
{input:'hat', ptag:'mover', output:'\u005E', type:VAR, acc:true, ctype:'vector'},
//note: https://www.openmath.org/cd/linalg2.html#vector This symbol represents an n-ary function used to construct (or describe) vectors. Vectors in this CD are considered to be row vectors and must therefore be transposed to be considered as column vectors. vs https://www.w3.org/TR/MathML3/chapter4.html#contm.vector For purposes of interaction with matrices and matrix multiplication, vectors are regarded as equivalent to a matrix consisting of a single column, and the transpose of a vector as a matrix consisting of a single row.... Since the W3C spec references the linalg2 cd, treating them as row vectors herein
{input:'vec', ptag:'mover', output:'\u2192', type:VAR, acc:true, ctype:'vector'},
{input:'dot', ptag:'mover', output:'.', type:VAR, acc:true},
{input:'ddot', ptag:'mover', output:'..', type:VAR, acc:true},
{input:'ul', ptag:'munder', output:'\u0332', type:VAR, acc:true},
{input:'"', ptag:'mtext', output:'mbox', type:TEXT},
{input:'strike:', ptag:'mstyle', attr:{style:'text-decoration:line-through;'}, output:'strike:', type:STYLE},
{input:'large:', ptag:'mstyle', attr:{mathsize:'large', style:'font-size:150%'}, output:'large:', type:STYLE},
{input:'small:', ptag:'mstyle', attr:{mathsize:'small',style:'font-size:75%'}, output:'small:', type:STYLE},
{input:'light:', ptag:'mstyle', attr:{style:'opacity:0.35'}, output:'light:', type:STYLE},
{input:'hide:', ptag:'mstyle', attr:{style:'opacity:0'}, output:'hide:', type:STYLE},
{input:'bold:', ptag:'mstyle', attr:{fontweight:'bold',style:'font-weight:bold'}, output:'bold:', type:STYLE},
{input:'serif:', ptag:'mstyle', attr:{fontfamily:'sans-serif'}, output:'serif:', type:STYLE},
{input:'struck:', ptag:'mstyle', attr:{mathvariant:'double-struck'}, output:'struck:', type:STYLE},
{input:'script:', ptag:'mstyle', attr:{mathvariant:'script'}, output:'script:', type:STYLE},
{input:'mono:', ptag:'mstyle', attr:{fontfamily:'monospace'}, output:'mono:', type:STYLE}
];
mk.getUserAgent = function(){
var isedge, isie;
if(!!userAgent){
return userAgent;
}
isie = /*@cc_on!@*/false || !!mkDoc.documentMode;
if(!(isedge = !isie && !!window.StyleMedia) && !!(userAgent = -1!==navigator.userAgent.indexOf('Chrome') ? 'chrome' : (-1!==navigator.userAgent.indexOf('Safari') ? 'safari' : ''))){
return userAgent;
}
return userAgent = -1!==navigator.userAgent.indexOf('Firefox') ? 'firefox' : ( (-1!==navigator.userAgent.indexOf('MSIE')||!!mkDoc.documentMode) ? 'ie' : (isedge?'edge': ( (-1!==navigator.userAgent.indexOf('Opera') || -1!==navigator.userAgent.indexOf('OPR')) ? 'opera':'other' ) ) );
};
var mk_rand = (window.crypto && window.crypto.getRandomValues) ? function(){
if(0==mkRand.length){
var i=32, a = new Uint32Array(32);
window.crypto.getRandomValues(a);
while(-1<--i){mkRand.push(a[i]);}
}
return mkRand.pop();
} : function(){ return Math.floor(Math.random() * Math.floor(Number.MAX_SAFE_INTEGER>>1)); };
var mk_regSig = function(fn){
mkSig[mkHashSum.hash(fn)] = true;
if(2==mkDebug){
console.log(mkHashSum.hash(fn));
}
return fn;
};
var mk_idFromUrl = function(s=''){
var i = 0;
return -1!=(i = s.indexOf('#')) ? s.substring(i).replace(/^[\s#]+/ug,'').trim() : '';
};
var mk_isFromMathKey = function(url=null){
var v = 0;
return -1==(v=(url = url||location.href).lastIndexOf('?mathKeyCom'+Date.now().toString().slice(0,6))) ? false : url.substring(0, v);
};
var mk_mathKeyUrl = function(url,id=''){
var i = -1;
if(!!id){
id='#'+id
}
if(-1!=url.indexOf('?mathKeyCom')){
url=url.replace(/\?mathKeyCom=/ug,'?&mathKeyCom=').replace(/\?mathKeyCom/ug, '%3FmathKeyCom');
}
return (-1!=(i=url.indexOf('#')) ?
(url.substring(0,i)+'?mathKeyCom'+Date.now()+'mathKey='+url.substring(i).replace(/#+/g,'')):(url+'?mathKeyCom'+Date.now()))+id;
};
if(2==mkDebug){
console.log(document.location.href);
}
(function(){
if(false!==(mkUrl = mk_isFromMathKey())){
if(2==mkDebug){
console.log('c:'+mkUrl);
}
mkFromMathKey = mk_idFromUrl(document.location.href)||'#';
var fn=null, id = mkFromMathKey, to=mkTo.pmInteractive[0], tm = mkTo.pmInteractive[1], src = null;
(fn = function(){
if(0>--to || '|complete|interactive|'.indexOf(document.readyState)){
window.addEventListener('message', function(e){
if(!!src && src!==e.source){
console.log('source mismatch');
return;
}
var data = null, er = false, msg = null;
try{
data = JSON.parse(e.data);
msg = !!data.msg ? JSON.stringify(data.msg) : '';
}catch(err){
console.log(err);
er = true;
}
if(!er && !!data.msg.fn){
try{
data.msg.fn = (new Function('return '+data.msg.fn+';'))();
}catch(err){
console.log(err);
er = true;
}
}
if(!!er || !id || id!==data.to || !data.sig || !data.msg || !data.msg.sig || !data.msg.fn || !msg || !mkSig[mkHashSum.hash(data.msg.fn)] || data.sig!==mkHashSum.hash(e.origin+"\n"+id+"\n"+msg)){
console.log('pm '+id+' could not decode msg');
window.parent.postMessage({from:id, status:'error'},'*');
return false;
}
if(!src){
src = e.source;
}
data.msg.fn({args: (!!data.msg.args?data.msg.args:{}), doc:document, id:id, cb: function(res){if(!!res && !!res.status){res.from=id; src.postMessage(res,'*');}else{console.log('pm '+id+' invalid return');console.log(res);} window.stop();}, path:'pm', res: ''});
}, false);
window.parent.postMessage({from:id, status:'loaded'},'*');
return;
}
window.setTimeout(fn, tm);
})();
}else{
mkUrl = document.location.href;
if(2==mkDebug){
console.log('p:'+mkUrl);
}
window.addEventListener('message', function(e){
var f = null;
if(!e.data || !e.source || !e.data.from || !e.data.status || !(f=mkFrames[e.data.from]) || !!f.error.pm || (!!f.src && f.src !== e.source)){
return f.onerror('pm', 'child returned invalid data');
}
if(!f.src){
f.src = e.source;
}
f.active.pm=0;
if('error'===e.data.status){
return f.onerror('pm');
}
f.oncancel('pm');
if('loaded'===e.data.status){
f.onloaded('pm');
}else if('completed'===e.data.status){
f.oncompleted('pm', e.data);
}
});
}
})();
var mk_trimUrl = function(url=''){
return url.replace(/(?:\s+[0-9]+\.?[0-9]*\s*[whx])+\s*$/uig,' ').trim();
};
var mk_isValidUrl = function(url=''){
var er = false, pre = '', i=0;
url = mk_trimUrl(url);
if('about:blank'===url){
return {};
}
//todo:
if(!url || (-1==url.indexOf('/') && -1==url.indexOf('.') && -1==url.indexOf('#'))){
return false;
}
if(!url.match(/^[a-zA-Z0-9]+\:/)){
++i;
pre+=location.protocol;
}
if(!((pre+url).match(/^[a-zA-Z0-9]+\:\/\//))){
++i;
pre+='//';
}
if(!((pre+url).match(/^[a-zA-Z0-9]+\:\/\/(?:[a-zA-Z0-9][a-zA-Z0-9\-]+\.)+[a-zA-Z0-9]+(?:\:[0-9]+)?(?:\?|\/|$)/))){
++i;
pre+=document.location.host;
if(0!=url.indexOf('/')){
pre+='/';
}
}
try {
er = new URL(pre+url);
} catch(err) {
console.log(err);
}
//todo: multilingual, only perform this check if the input url is substantially ascii
if(!!er){
if(0.5>(1-(0<i ? __levenshtein(url=pre+url,er.href) : __levenshtein(url,er.href))/url.length)){
return false;
}
}
return er;
};
var mk_frame = function(url, fn=null, ld=null, cb=null, ka=false){
var args = {}, k ='';
if('object' == typeof fn){
if(!!fn.args){
args = fn.args;
}
fn = !!fn.fn ? fn.fn : null;
}
if(!!fn && ('function' != typeof fn || !mkSig[k=mkHashSum.hash(fn)])){
console.log('could not frame '+url);
return false;
}
var id = mkHashSum.hash(Date.now()+mk_rand()), data=null;
if(!(data=mk_isValidUrl(url)) || !!mkFrameUrl[url]){
return false;
}
mkFrameUrl[url] = id;
var f, doc = (!!mkDoc&&!!mkDoc.body) ? mkDoc : document;
data = data.pathname;
mkFrames[id] = {
active: {},
cancelfrom: 'xhr',
cp:false,
cb: cb,
completed:false,
doc: doc,
data: null,
error:{},
file:data,
fn: fn,
id: id,
if:doc.createElement('iframe'),
ka:ka,
ld:ld,
loaded:false,
started:false,
fto:mkTo.fDoc[1],
res:'',
src:null,
url:[url]
};
f = mkFrames[id];
f.data = { to: id, msg: {sig: k, args: args, fn: !!fn ? fn.toString():null} }
f.data.sig = mkHashSum.hash(window.location.origin+"\n"+id+"\n"+JSON.stringify(f.data.msg));
if(2==mkDebug){
f.log = function(msg=''){
console.log((!!mkFromMathKey?'*':'')+'['+f.id+'] '+msg+' @'+Math.round(parseFloat((Date.now()-f.started)/1000),1)+'s');
};
}
f.if.style = 'display:none;';
f.oncompleted = function(path='',d=null){
if(2==mkDebug){
f.log('oncompleted '+path+': '+f.url[0]);
}
if('xhr'!=path){
var w = '';
if(!!(w=(f.if.contentDocument || f.if.contentWindow.document)) && !!(w.contentWindow)){
w.contentWindow.stop();
}
}
if(!f.oncancel(path)){
return;
}
if(!!f.completed){
console.log('already completed');
return;
}
if(!!d && !!d.msg && undefined!==d.msg.keepalive){
f.ka = !!d.msg.keepalive;
}
if(!!f.cb){
f.cb(d);
}
f.completed = Date.now();
if(!f.ka){
f.doc.body.removeChild(f.if);
delete mkFrameUrl[f.url.pop()];
delete mkFrames[f.id];
}
};
f.onloaded = function(path=''){
if(2==mkDebug){
f.log('onloaded '+path+': '+f.url[0]);
}
if(!f.oncancel(path)){
return;
}
for(var i in f.active){
window.clearTimeout(f.active[path]);
delete f.active[path];
}
if(!!f.ld && !f.loaded){
f.ld();
}
f.loaded = Date.now();
if('pm'==path){
if(!!f.src){
f.src.postMessage(JSON.stringify(f.data),'*');
}else{
console.log('no src for '+id);
}
}else if(!!f.fn){
fn({args:f.data.msg.args, cb:function(d){ f.oncompleted(path, d); }, doc: (f.if.contentDocument || !!f.if.contentWindow?f.if.contentWindow.document:null), id:id, path:path, res:f.res});
}
};
f.onerror = function(path='',msg=''){
f.error[path] = true;
if(undefined!==f.active[path]){
window.clearTimeout(f.active[path]);
delete f.active[path];
}
if(2==mkDebug){
f.log('error loading '+path);
}
if(!!msg){
console.log(msg);
}
if(!f.oncancel(path)){
return;
}
f.cancelfrom = 'xhr';
f.retry(path);
};
f.oncancel = function(path=''){
if(2==mkDebug){
f.log('cancel from '+path+' [current:'+f.cancelfrom+']');
}
if(undefined!==f.active[path]){
window.clearTimeout(f.active[path]);
delete f.active[path];
}
if('pm'==path){
return !f.error[path] ? f.cancelfrom = path : false;
}
if('pm'==f.cancelfrom){
return !f.error[path]&&path==f.cancelfrom;
}
if('frame'==path){
return !f.error[path] ? f.cancelfrom = path : false;
}
if('frame'==f.cancelfrom){
return !f.error[path]&&path==f.cancelfrom;
}
return !f.error[path]&&path==f.cancelfrom;
};
f.retry = function(path=''){
if(2==mkDebug){
f.log('retry from: '+path);
}
if(undefined!==f.active.xhr || !!f.res){
window.clearTimeout(f.active.xhr);
delete f.active.xhr;
if(!f.error.xhr){
if(2==mkDebug){
f.log('setup long xhr read');
}
f.active.xhr = window.setTimeout(function(){f.onloaded('xhr');},mkTo.wfpmInteractive[0]);
}
}
if(!f.error.frame){
if(2==mkDebug){
f.log('retrying frame');
}
if(undefined!==f.active.frame){
window.clearTimeout(f.active.frame);
delete f.active.frame;
}
var m = null;
if(!!(m=f.file.match(/\.((?:png)|(?:jpe?g)|(?:gif)|(?:svg)|(?:bmp)|(?:tiff))$/i))){
var img = new Image();
img.style='display:none;';
img.contentType='image/'+m[1].toLowerCase();
//TODO:
//img.crossOrigin = 'anonymous';
img.onload = function(){
if(undefined!==f.active.frame){
window.clearTimeout(f.active.frame);
delete f.active.frame;
}
f.res = this;
f.onloaded(f.cancelfrom='img');
};
img.src = f.url[f.url.length-1];
return;
}
f.fto = mkTo.fDoc[1]*4;
f.load();
}else if(!f.error.xhr&&!f.res){
if(2==mkDebug){
f.log('retrying xhr');
}
f.fto = -1;
f.load();
}
};
f.load = function(){
if(!f.started){
f.started = Date.now();
f.if.src = 'about:blank';
f.doc.body.appendChild(f.if);
(f.if.src = mk_mathKeyUrl(f.url[0], f.id)), (f.url.unshift(f.if.src));
if(undefined!==f.active.frame){
window.clearTimeout(f.active.frame);
}
return f.active.iframe=window.setTimeout(function(){f.load();},mkTo.fStart[0]);
}
//TODO: dns prefetch, parallel xhr/iframe responsive to errors in former, recursive requests via `grep -n mkFromMathKey | tail -n 1`
var d = null;
if(!!f && !!f.if && !!(d=(f.if.contentDocument || !!f.if.contentWindow?f.if.contentWindow.document:null)) && 'about:blank'!=d.location.href){
if(2==mkDebug){
f.log('frame contentDocument');
}
if(undefined!==f.active.frame){
window.clearTimeout(f.active.frame);
}
f.active.iframe = 0;
if(!d.location || !d.documentElement){
return f.onerror('frame');
}else if(!f.oncancel('frame')){
return;
}
if(2==mkDebug){
f.log('frame contentElement');
}
if(d.location.href.replace(/[#?].*$/g,'')!==f.url[0].replace(/[#?].*$/g,'')){
f.url.unshift(d.location.href);
}
f.onloaded('frame');
}else if(!!f && -1<--f.fto){
if(mkTo.fDoc[1]==f.fto){
return f.onerror('frame');
}
if(2==mkDebug){
if((mkTo.fDoc[1]-1)==f.fto){
f.log('frame sequence');
}
}
if(undefined!==f.active.frame){
window.clearTimeout(f.active.frame);
}
f.active.iframe=window.setTimeout(f.load(), mkTo.fDoc[0]);
}else{
if(2==mkDebug){
f.log('xhr request');
}
if(undefined!==f.active.xhr){
f.active.xhr = 0;
}
if(!f || !f.oncancel('xhr')){
return;
}
d = new XMLHttpRequest();
d.open('GET', f.url[0], true);
d.responseType = 'text';
d.onerror = function(e) {
f.onerror('xhr');
f.retry('xhr');
};
d.onload = function(e) {
if(2==mkDebug){
f.log('xhr loaded');
}
if(!f||!f.oncancel('xhr')||!!f.res){
return;
}
if(!e || !e.target){
if(!!f){
f.onerror('xhr','target undefined');
f.retry('xhr');
}
return;
}
var res = e.target.response || '';
if(!res || !!res.replace(/[\r\n]/ugm,' ').match(/src\s*=\s*['"][^'"]*mathKey.js/u) || (!!(d=(f.if.contentDocument || f.if.contentWindow?f.if.contentWindow.document:null)) && !!d.documentElement && !(f.error['frame']=false))){
if(2==mkDebug){
f.log('xhr response may be for pm');
}
f.res = res;
f.active.xhr=0;
f.retry('xhr');
return;
}
if(2==mkDebug){
f.log('xhr response');
}
f.res = res;
f.onloaded('xhr');
};
d.send();
}
};
f.load();
return true;
};
mk.reInit = function(){
mkRnames = {};
mkNames = {};
mkRLength = 0;
mkSymbols = mkSymbols.filter(function(v){ return v !== null; });
mkSymbols.filter(function(v,i){
var j = -1, k = -1;
k = v.input.length;
if(mkRLength<k){
mkRLength = k;
}
while(k>++j){
mkRnames[v.input.slice(-j)] = true;
}
mkNames[v.input] = i;
return false;
});
};
var mk_fallbackCss = function(){
if(!!conf.fallbackcssurl && !mkFromMathKey){
mk_frame(conf.fallbackcssurl, {args:{fallbackurl: conf.fallbackcssurl}, fn: mk_regSig(function(com){
var css = (!!com.doc && !!com.doc.body)? com.doc.body.innerText : (!!com.res? com.res : '');
com.cb({status:'completed',msg:{cssText:css}});
})}, function(){mkSync.mathKeyTranslate=true;}, function(data){if(!!data && !!data.msg &&!!data.msg.cssText && (!mkHasMathML || 1===mkHasMathML)){mkFallbackCSS=data.msg.cssText;} mkSync.mathKeyTranslate=false;});
}
};
mk_fallbackCss();
var mk_checkMathML = function(mj=false, mp=false){
mkHasMathML = false;
if ('firefox'==userAgent || 'safari'==userAgent){
mkHasMathML = true;
mkFallbackCSS='';
}else if ('opera'==userAgent && 9.5<=parseFloat(navigator.appVersion.slice(0,1))){
mkHasMathML = true;
mkFallbackCSS='';
}else if ('other'==userAgent && 'Netscape'==navigator.appName.slice(0,8) && 5<=parseFloat(navigator.appVersion.slice(0,1))){
mkHasMathML = true;
mkFallbackCSS='';
}
if (!mkHasMathML && !!mkDoc.createElementNS) {
var d = null, div = mkDoc.createElement('div'), mfrac = null;
div.style.position = 'absolute';
div.style.top = 0;
div.style.left = 0;
div.style.opacity = '0';
div.style.width = 'auto';
div.style.height = 'auto';
div.style.fontFamily = 'serif';
div.style.lineheight = 'normal';
div.appendChild(
mfrac = mkDoc.createElementNS(mkMathns,'math')
);
mfrac.appendChild(mkDoc.createElementNS(mkMathns,'mfrac'));
mfrac = mfrac.children[0];
mfrac.appendChild(
d = mkDoc.createElementNS(mkMathns,'mi')
);
d.appendChild(mkDoc.createTextNode('xx'));
mfrac.appendChild(
d = mkDoc.createElementNS(mkMathns,'mi')
);
d.appendChild(mkDoc.createTextNode('yy'));
mkDoc.body.appendChild(div);
mkHasMathML = div.offsetHeight > div.offsetWidth;
mkDoc.body.removeChild(div);
}
if (!mkHasMathML && !mp && 'ie'==userAgent){
if(!mj && !mkDoc.getElementById('mathplayer')){
var head = mkDoc.getElementsByTagName('head')[0], object = mkDoc.createElement('object'); //script = mkDoc.createElement('script');
object.id = 'mkmathplayer';
object.onload = function(){mk_checkMathML(true);};
object.classid = 'clsid:32F66A20-7614-11D4-BD11-00104BD3F987';
head.innerHTML+='<?import namespace="m" implementation="#mathplayer"?>';
//mkDoc.namespaces.add("m","http://www.w3.org/1998/Math/MathML");
// mkDoc.namespaces.m.doImport("#mathplayer");
head.appendChild(object);
return;
}else if (!!mkDoc.getElementById('mkmathplayer')){
var ActiveX = null;
try {
ActiveX = new ActiveXObject('MathPlayer.Factory.1');
mkHasMathML = true;
mkFallbackCSS='';
} catch (e) {
mkHasMathML = false;
mj = false;
}
}
}
if(!mkHasMathML && !mp && !conf.fallbackliburl && !!conf.fallbackcssurl){
var head = mkDoc.getElementsByTagName('head')[0],
link = mkDoc.createElement('link');
link.setAttribute('rel','stylesheet');
link.setAttribute('type','text/css');
head.appendChild(link);
link.href = conf.fallbackcssurl;
mkHasMathML = 1;
mkFallback = conf.fallbackcssurl.replace(/^.*\//g,'');
}
if (!!mj && !mkHasMathML && !!conf.fallbackliburl){
if(conf.fallbackliburl.match(/MathJax[^\/]*(?:\/|(?:\.js))/i) && undefined!=window['MathJax'] && !!window['MathJax'].Hub) {
mkHasMathML = 2;
mkFallbackCSS='';
}else if(conf.fallbackliburl.match(/(?:(?:wiris)|(?:quizzes))[^\/]*(?:\/|(?:\.js))/i) && !!window['com'] && !!window['com'].wiris){
mkHasMathML = 3;
mkFallbackCSS='';
}
}
if(!mj && !mkHasMathML){
var head = mkDoc.getElementsByTagName('head')[0];
if(conf.fallbackliburl.match(/MathJax[^\/]*(?:\/|(?:\.js))/i)){
var scripts = [ mkDoc.createElement('script'), mkDoc.createElement('script')],
xconfig = 'MathJax.Hub.Config({' +
'mml2jax: {preview: "mathml"},' +
'extensions: ["mml2jax.js"],' +
'jax: ["input/MathML","output/HTML-CSS"]' +
'});';
scripts[0].type = 'text/x-mathjax-config';
(userAgent !== 'opera') ? scripts[0].text = xconfig : scripts[0].innerHTML = xconfig;
head.appendChild(scripts[0]);
mkFallback = 'MathJax';
scripts[1].async = true;
scripts[1].type = 'text/javascript';
scripts[1].onload = function(){
var fn = function(){
(!window['MathJax']||!window['MathJax'].isReady)? window.setTimeout(fn,500):mk_checkMathML(true, userAgent==='ie');
};
fn();
};
scripts[1].src = conf.fallbackliburl+'?config=MML_HTMLorMML';
head.appendChild(scripts[1]);
return;
}else if(conf.fallbackliburl.match(/(?:(?:wiris)|(?:quizzes))[^\/]*(?:\/|(?:\.js))/i)){
var script = mkDoc.createElement('script');
script.type = 'text/javascript';
script.onload = function(){
var fn = function(){
(!window['com']||!window['com'].wiris)? window.setTimeout(fn,500):mk_checkMathML(true, userAgent==='ie');
};
fn();
};
mkFallback = 'WIRIS';
script.src = conf.fallbackliburl;
head.appendChild(script);
return;
}
}
if (!mkHasMathML) {
mkFallback = 'none';
if(!!conf.notifyifnomathml){
mk_warn('ASCIIMathML is unavailable. Please upgrade your browser.');
}
return false;
}
if(!!mj && !!conf.translateonstart){
mk_translateOnStart();
}
return (mkReady = true);
};
var mk_fallback = function(o=null,r=false){
var fn = (!!o&&!!r) ? function(){ var c,i,v=o.getElementsByTagName('mo');for(i in v){ if('*'==v[i].innerHTML && (!v[i].previousElementSibling || 'mspace'!=mk_nodeName(v[i].previousElementSibling)) && (!v[i].nextElementSibling || ('mspace'!=mk_nodeName(v[i].nextElementSibling)
&& (!(c=v[i].nextElementSibling.textContent.charAt(0).toLowerCase()) || '0'>c || c>'9' )
)) ){v[i].innerHTML='&#x2062;<!-- &InvisibleTimes; -->';} } } : function(){};
if(2===mkHasMathML && !!window['MathJax']){
fn();
window['MathJax'].Hub.Queue(['Typeset',window['MathJax'].Hub,o]);
}else if(3===mkHasMathML){
fn();
var builder, uibuilder, viewer, toFilter, tag, i, m;
builder = window['com'].wiris.quizzes.api.QuizzesBuilder.getInstance();
uibuilder = builder.getQuizzesUIBuilder();
viewer = uibuilder.getMathViewer();
viewer.setZoom(2.0);
toFilter = 'math'==mk_nodeName(o)? [o] : o.getElementsByTagName('math');
m=toFilter.length;
for(i=-1; m>++i;){
//todo: filter on class mathMLPresentation added to presentation nodes
if(!toFilter[i] || !toFilter[i].getAttribute('alttext')){
continue;
}
tag = document.createElement('span');
toFilter[i].insertAdjacentElement('beforebegin',tag);
tag.appendChild(toFilter[i]);
viewer.filter(tag);
}
}else{
window.setTimeout(fn,1000);
}
};
mk.usingFallback = function(){
return mkFallback;
};
mk.translate = function(translateclass=''){
if (mkTranslated<(Date.now()-1000)) {
mkTranslated = Date.now();
var i=-1, j = -1, m = null, obj = null;
if(!translateclass){
translateclass=conf.translateclass;
}
translateclass = translateclass.replace(/^\./g,'');
if(!mkDoc.querySelector('.'+translateclass)){
console.log('Could not find an element of class '+translateclass);
return;
}
mkSync.mathKeyTranslate=true;
obj = mkDoc.body.getElementsByClassName(translateclass);
for(i=-1;obj.length>++i;){
if(!obj[i].firstChild || 'math'==mk_nodeName(obj[i].firstChild)){
continue;
}
if(!!(m = mk.parseR(obj[i].innerHTML))){
if(!obj[i]){
console.log('no object:');
console.log(m);
continue;
}
if(-1<(j = obj[i].childNodes.length-1)){
while(-1<--j){
obj[i].removeChild(obj[i].childNodes[0]);
}
obj[i].replaceChild(m,obj[i].childNodes[0]);
}else{
obj[i].appendChild(m);
}
}
mkExt.cache[0]='';
mkExt.cache[1]='';
}
mkSync.mathKeyTranslate=false;
mkDoc.dispatchEvent(new CustomEvent('mktranslated'));
mk_fallback(mkDoc.body);
}
};
var mk_warn = function(warnings='') {
if(!warnings && 0==errorBuf.length){
return;
}
if(!Array.isArray(warnings)){
warnings = [warnings];
}
if(0==warnings.length){
warnings = errorBuf.map(mk_acopy);
}else if(errorBuf.length>0){
warnings = warnings.concat(errorBuf);
}
errorBuf.splice(0);
if(!!conf.notifywarnings){
(!!conf.notifywarningscallback && !!window[conf.notifywarningscallback])?
window[conf.notifywarningscallback](warnings) : alert(warnings.join('; '));
}
};
var mk_setCurrentSymbol = function(t,s,passive=false){
if(!t.par){
t.cs = s;
}
if(!passive){
t.par = false;
}
};
var mk_spaces = function(str,i,p,cs,ls){
var c = '', n=!!mkTsp[p]?mkTsp[p]:0.5, sp = '', sn='';
while(' '==(c=str.charAt(i)) || '\n'==c){
++i;
}
while(-1<--i && ((' '==(c=str.charAt(i))&&(sp+=c)) || ('\n'==c&&(sn+=c))));
if(!sp&&!!sn){
sp=' ';
}
return [Math.round(sp.length*n),(1>cs?Math.abs(cs):0),Math.round(sn.length*n),1>ls?Math.abs(ls):0];
};
var mk_isNeg = function(str,k){
var i = k, s = '', c='';
if('-'!=str.charAt(i)){
'-'==str.charAt(i-1) ? --i : ++i;
}
if(1>i){
return true;
}
k = i;
while((-1<--i || (k=0)) && (!!s || ((33>(c=str.charCodeAt(i)))&&10!=c&&0<--k) || (s=str.charAt(i))) && (!s || !!mkRnames[str.substring(i, k)] || -1==++i));
return (('A'<=s && s<='Z') || ('a'<=s && s<='z') || ('0'<=s && s<='9') || (i!=k && -1==',{(^_'.indexOf(s) && undefined!=(i=mkNames[str.substring(i, k)]) && !!(s=mkSymbols[i]) && !(INFIX==s.type || LEFTBRACKET==s.type || !!s.arith || !!s.setop || !!s.rel || !!s.eq || !!s.isprefixop) )) ? false : true;
};
var mk_isComma = function(s,str,i,n=0){
if(1>i||','!=s || 3!=n|| '0'>(s=str.charAt(--i)) || s>'9'){
return false;
}
var p = {};
while(-1<--i){
n = s;
s=str.charAt(i);
if(','==s && ('0'>n || n>'9' || (0<i && ('0'>(n=str.charAt(i-1)) || n>'9'))) ){
return false;
}else if(!!mkParen[0][s]){
if(!p[mkParen[0][s]]){
return false;
}
}else if(!!mkParen[1][s]){
!p[s]?p[s]=1:p[s]++;
}
}
return true;
};
var mk_continueSymbol = function(str='', hint=null, r=0){
var a = '', i = 0, sym = '', strl, def=false, mode = true;
if(null!=hint){
hint = hint.toLowerCase();
}else{
str=str.trimRight();
mode = false;
}
strl = str.length;
i = strl-1;
if(4096<r){
console.log('recursion');
return;
}
while((!!mkRnames[str.slice(i,strl)] || -1==++i) && (-1<--i || (i=0)));
sym = str.slice(i,strl);
a = str.charAt(--strl).toLowerCase();
if(!mode){
return '\u200c'==a ? null : (undefined!=mkNames[sym] ? -i : strl);
}
if(undefined==mkNames[sym]){
if(('a'>a||a>'z') && ('0'>a||a>'9')){
return null;
}else if((0<strl && -1!='\/_^'.indexOf(def=str.charAt(strl-1)))||(1<strl && '-'==def && -1!='\/_^'.indexOf(str.charAt(strl-2)))){
return 0;
}else{
def = true;
}
}
if(undefined==(sym=mkNames[sym]) || 1>i){
return (!!(sym = mkSymbols[sym]) && DIFFERENTIAL!=sym.type && !!sym.input&& 2>sym.input.length && (('a'<=a&&a<='z')|| ('0'<=a&&a<='9'))) ? true : (undefined==sym ? true : ((!!sym.sym&&VAR==sym.type) ? 0 : (!!sym.attr? '' : false)));
}
sym = mkSymbols[sym];
a = str.charAt(i-1).toLowerCase();
hint = hint.charAt(0);
if(DIFFERENTIAL==sym.type){
if((-1=='^({[\\/'.indexOf(hint) && ('a'>hint||hint>'z')) || -1!='^_'.indexOf(a) ){
return true;
}
if('a'<=a&&a<='z' || '0'<=a&&a<='9'){
while(-1<--i && !!(hint=(a=str.charAt(i))+hint) && (undefined==mkNames[hint] &&
('d'!=a || (
(-1=='^({[\\/'.indexOf(a=str.charAt(i+1).toLowerCase())&&('a'>a||a>'z'))
||
(0!=i && ('d'!=str.charAt(i-1)||(0!=--i&&(hint=a+hint))) && -1!='^_'.indexOf(str.charAt(i-1)))
))));
if(undefined==mkNames[hint] && 'd'!=a && -1==str.indexOf('int') ){
return true;
}
}
return false;
}
if(2>sym.input.length && 'a'<=sym.input.toLowerCase()<='z' && (('a'<=hint&&hint<='z')|| ('0'<=hint&&hint<='9')|| ('0'<=a&&a<='9') )){
if(!r){
return true;
}
def = true;
}
if(!!sym.attr){
return '';
}else if(!!sym.sym&&VAR==sym.type){
return 0;
}
if(!!r && (!!sym.arith || !!sym.sep || !!sym.eq || INFIX<= sym.type && sym.type<=SHAPE || !!sym.rel || !!sym.logic || !!sym.setop || !!sym.issuffixop || !!sym.isprefixop || -1!=sym.input.indexOf('\\')
)){
return 1===r ? false : undefined;
}
if(undefined==(a = mk_continueSymbol(str.slice(0,i),sym.input,++r)) && !sym.acc){
return def;
}
return true===a || (!!sym.acc?null:false);
};
var mk_cloneSymbol = function(sym={},s={}) {
if(undefined!=sym.charAt||undefined!=sym.toPrecision||true===sym||false===sym){
return sym;
}
for(var i in sym){
s[i] = (!sym[i] || undefined!=sym[i].charAt||undefined!=sym[i].toPrecision||true===sym[i]||false===sym[i])?sym[i]:mk_cloneSymbol(sym[i],!!sym[i].length?[]:{});
}
return s;
};
mkBak = mkSymbols.map(function(v,i){mkBakNames[v.input]=i; return mk_cloneSymbol(v);});
var mk_findStackOrigin = function(str=''){
var i, k=str.length, c =0, s='', r=-1;
i = k;
while(-1<--i && (!!s || ((33>(c=str.charCodeAt(i))||10==c)&&-1<--k) || !!(s=1)) && (!s || !!mkRorigin[str.slice(i,k)]));
r = (!!mkOrigin[str.slice(++i,k)]) ? i : -1;
if(-1<r){
if(!!mk_continueSymbol(str.slice(0,r), str.charAt(r),1)){
return -1;
}
i = k = r-1;
s = '';
while(-1<--i && (!!s || ((33>(c=str.charCodeAt(i))||10==c||'"'==c||'('==c)&&-1<--k) || !!(s=1)) && (!s || -1!='stackrel'.indexOf(str.slice(i,k)) ));
if('stackrel'==str.slice(++i,k)){
r = -1;
}
}
return r;
};
//return maximal final substring of str that appears in names
var mk_rgetSymbol = function(str,spa=[0,0,0,0],literal=false,t=null) {
var f=false,i=0, j=true, k=0, ptag='',b=null,c='', s='', strl = str.length, sl=spa[2], sp = spa[0], bb=[];
if(!t){
t = mk_t();
}
i = strl-1;
while(( ((' '==(s=str.charAt(i))&&(undefined!=--sp)) || ('\n'==s&&(undefined!=--sl))) || 33>s.charCodeAt(0) || '\u200b'==s) && -1<--i);
if(0>(strl=i) || ''===literal || '\u200c'==str || '\u200b'==str){
t.par = false;
return {symbol: mk_cloneSymbol(mkSymbolNone), pos:i, text:''};
}
++strl;
if(!t.par){
t.ps = t.cs;
}
if(!literal && -1!=(j=mk_findStackOrigin(str))){
s = str.slice(j,strl);
if(!!(b = mk_rgetSymbol(str.slice(0, j), sp)) && !!b.symbol.acc){
mk_setCurrentSymbol(t,b.symbol.type, true);
return {symbol: mk_cloneSymbol(b.symbol,{multi:true}), pos:b.pos, text:[{input:s, ptag:'mi', ctag:'ci', text:s}], sp:b.sp, origin:s};
}
return {symbol: {input:s, ptag:'mi', ctag:'ci', output:s, type:VAR, mys:true}, pos:j, text:s, sp:mk_spaces(str,j,ptag,sp,sl), origin:s};
}
j = true;
if( (null===(i = mk_continueSymbol(str)) || !!literal) ? (f=true) : (0<i || undefined==(k=mkNames[str.slice(i=-i,strl)]) || !(k = mkSymbols[k])|| (VAR==k.type && !!k.sym && 0!==literal) || (0!==literal && 0<(j=t.o.length-1) && RIGHTBRACKET==t.o[j].symbol.type && 2>k.input.length && 'a'<=k.input && 'z'>=k.input && (literal=true) ) ) ){
if(0===literal){
t.par = false;
return {symbol: mk_cloneSymbol(mkSymbolNone), pos:i, text:''};
}
if(null==i){--strl};
s = str.charAt(--strl);
mk_setCurrentSymbol(t,VAR, true);
t.par = t.par? false : true;
b = {};
i=strl;
if(!!k&&!literal){
++i;
ptag=k.ptag;
s = k.output;
bb[0] = mk_cloneSymbol(k);
bb[0].text='';
}else {
if('0'<=s && s<='9'){
ptag = 'mn';
j=true;
while(-1<--i && (s = str.charAt(i)) && ((('0'<=s && s<='9' && ++c)||(mk_isComma(s,str,i,c)?!(c=j=0):(c=0))) ? j||true : ((j && '.'==s && 0<i && '0'<=(s=str.charAt(i-1))&& s<='9') ? !(j=c) : false)));
j = false;
if('-'==s){
if(!!(j = !mk_isNeg(str,k=i))){
s='';
}
}
s = str.slice(('-'==s&&!j)?i:++i);
}else if((ptag = ((('A'>s || s>'Z') && ('a'>s || s>'z') && (!!mkRnames[s] || s.charCodeAt(0)<300)) ?'mo':'mi'))=='mi' && 0<(strl-1) && '-'==str.charAt(strl-1) && !!mk_isNeg(str,i-1)){
s='-'+s;
--i;
}
s = s.trim();
b.text = s;
}
j = false;
b.pos=i;
b.sp=mk_spaces(str,i,ptag,sp,sl);
c = ptag;
if(t.par && ('mo'!=ptag||!!literal) && 1>b.sp[0] && '-'!=s){
if(!k){
bb.unshift({ptag:c,text:s, sp: b.sp, output:s, pos:i});
}
k = false;
while(!!(b = mk_rgetSymbol(str.slice(0, b.pos), b.sp, (!!literal || mk_continueSymbol(str.slice(0,b.pos), str.charAt(b.pos),1)), t)) && -1<(b.pos=Math.abs(b.pos)) && !b.origin && NONE!=b.symbol.type && ( ((VAR==b.symbol.type && (!!b.symbol.sym || !!b.symbol.mys))||(CONST==b.symbol.type && !!b.symbol.sym)||!!b.symbol.acc)) && (t.par||!!b.symbol.par)&&(!bb[0].par||!!b.symbol.acc)){
if(!!b.symbol.par){
bb[0].par=true;
}
if(b.pos==bb[0].pos){
b.pos=bb[0].pos-=bb[0].input.length;
continue;
}
k = false;
j = true;
(b.symbol.ptag==c)? (bb[0].text=b.symbol.output.trim()+bb[0].text) : bb.unshift({ptag:b.symbol.ptag,text:b.symbol.output.trim()});
c=b.symbol.ptag;
bb[0].pos =b.pos;
bb[0].sp =b.sp;
if(0<b.sp[0]||0<b.sp[1]){
break;
}
}
if(0<bb.length){
if(!b.symbol){
b.symbol = bb[0];
b.pos=0;
}
bb[0].origin = !!mkOrigin[bb[0].text] ? bb[0].text : '';
if('-'==b.text){
++bb[0].pos;
bb[0].text='-'+bb[0].text;
}
}else if(!b.symbol){
b.symbol = mk_cloneSymbol(mkSymbolNone);
b.pos=0;
}
j = j || !!b.symbol.acc;
}
if(j){
t.par = false;
if(!!b.symbol.acc){
mk_setCurrentSymbol(t,b.symbol.type, true);
return {symbol: mk_cloneSymbol(b.symbol,{multi:true}), pos:b.pos, text:bb, sp:b.sp, origin:bb[0].origin};
}else if(!!bb[0].par){
return {symbol: mk_cloneSymbol(bb[0]), pos:bb[0].pos, text:'', sp:bb[0].sp, origin:bb[0].origin}
}
return {symbol: mk_cloneSymbol(mkSymbolMulti), pos:bb[0].pos, text:bb, sp:bb[0].sp, origin: bb[0].origin};
}else{
t.par = t.par? false : ptag!='mo';
}
return {symbol: {input:s, ptag:ptag, output:s, type:VAR, mys:true}, pos:i, text:'', sp:mk_spaces(str,i,ptag,sp,sl)};
}
if(0===literal){
k = mk_cloneSymbol(k);
k.par = true;
}
if(STYLE==k.type){
mk_setCurrentSymbol(t,STYLE);
f=strl;
j = null;
bb = [];
while((!!mkRnames[str.slice(i,f)] && ((undefined!=(j=mkNames[str.slice(i, f)])&&!!(k=mkSymbols[j]) && STYLE==k.type && (bb.push(k),1) && -1!=(f=i) ) || 1)) && (-1<--i || (i=0)));
if(0==bb.length){
t.par = false;
return {symbol: mk_cloneSymbol(mkSymbolNone), pos:i, text:''};
}
k = mk_cloneSymbol(bb.pop());
i = strl - k.input.length;
for(s in bb){
for(j in bb[s].attr){
if('style'==j){
if(!k.attr.style){
k.attr.style='';
}else if(';'!=k.attr.style.charAt(k.attr.style.length-1)){
k.attr.style+=';';
}
k.attr.style+=bb[s].attr.style;
}else{
k.attr[j]=bb[s].attr[j];
}
}
i-=bb[s].input.length;
}
}else if(TEXT==k.type){
--strl;
if((i=str.slice(0,strl).lastIndexOf(k.input))==-1){
t.par = false;
return {symbol: mk_cloneSymbol(mkSymbolNone), pos:0, text:''};
}
mk_setCurrentSymbol(t,TEXT);
return {symbol: mk_cloneSymbol(k), pos:i, text:str.slice(i+1,strl), sp:mk_spaces(str,i,'mtext',sp,sl)};
}
s = '';
if(i>0 && (!!k.paren||!!k.carry||!!k.sov||!!k.sym||!!k.acc) && str.charAt(i-1)=='-' && !!mk_isNeg(str,i-1)){
s='-'+s;
--i;
}
mk_setCurrentSymbol(t,k.type);
k = mk_cloneSymbol(k);
if(!!k.shape && 'line'==k.shape){
while('-'==str.charAt(i)){
k.output+=k.output.charAt(0);
--i;
}
++i;
}
return {symbol: k, pos:i, text:s, sp:mk_spaces(str,i,k.ptag,sp,sl), found:true};
};
mk.rgetSymbol = mk_rgetSymbol;
var mk_nodeName = function(n){
return (!!n&&!!n.nodeName) ? n.nodeName.toLowerCase(): '';
};
var mk_acopy = function(v){
return v;
};
var mk_tcopy = function(v){
return v.text;
};
var mk_anotneg1 = function(v){
return v!=-1;
};
var mk_dunwrap = function(node=null){
if(!node){
return;
}
if('declare' == mk_nodeName(node)){
while(!!node.children[0]){
node.parentNode.insertBefore(node.children[0],node);
}
node.parentNode.removeChild(node);
return;
}
if(0==node.children.length){
return;
}
var i = -1;
for(i=-1;node.children.length>++i;){
mk_dunwrap(node.children[i]);
}
};
var mk_funwrap = function(node=null){
if(!node){
return;
}
if(!!node.hasAttribute('class') && !node.className){
node.removeAttribute('class');
}
var c = mk_nodeName(node);
if(0==node.children.length){
if('mrow'==c){
node.parentNode.removeChild(node);
return 1;
}
return 0;
}
if('mrow' == c){
if(1==node.children.length && 'mrow'==mk_nodeName(node.children[0])){
c = node.children[0];
node.parentNode.insertBefore(c,node);
node.parentNode.removeChild(node);
node = c;
}
}
var i = -1;
for(i=-1;node.children.length>++i;){
mk_funwrap(node.children[i]);
}
return 0;
//todo: empty mrows @ end
};
var mk_tunwrap = function(t,node=null){
if(!node){
return t.pML('math');
}
mk_dunwrap(node);
var p=null,n=null,b=null,c=null,d=null,tbl=null,i,j,k;
n = node.getElementsByClassName('__mkFraction');
i = n.length;
while(-1<--i){
if(!!n[i].children[0] && 'mspace'==mk_nodeName(n[i].children[0]) && !!n[i].parentNode){
n[i].parentNode.insertAdjacentElement('beforebegin',n[i].children[0]);
}
mk_removeClass(n[i], '__mkFraction');
}
n = node.getElementsByClassName('__mkDeferOriginal');
i = n.length;
while(-1<--i){
if(!!(b = n[i].className.match(/__mkDeferID([0-9]+)(?:[^0-9]|$)/u))&&!!(d=t.o[b[1]])&&!!d.origin&&!!mkOrigin[d.origin]&&!!(c=mk_getExt(mkOrigin[d.origin]))&&!!c.original){
p = n[i].parentNode;
p.replaceChild(c.original.cloneNode(true),n[i]);
}else{
if(!!b[1]){
mk_removeClass(n[i],'__mkDeferID'+b[1]);
}
mk_removeClass(n[i],'__mkDeferOriginal');
}
}
n = node.getElementsByClassName('__mkmlongdiv');
for(i=-1;n.length>++i;){
b = !!n[i].previousElementSibling ? n[i].parentNode : n[i].parentNode.previousElementSibling;
if(!!b && !!(b=b.querySelector('.__mklinebreak'))){
p = b;
while(!p.previousElementSibling && !!(p=p.parentNode));
d = b.parentNode;
if(1<d.children.length && b==d.children[0]){
while(!d.previousElementSibling && !!(d=d.parentNode));
//d = !!d.previousElementSibling ? d.previousElementSibling : null;
}
b.parentNode.removeChild(b);
c = null;
if(!!d && !!(d=d.previousElementSibling)){
c = t.pML('mtd');
do{
b = d.previousElementSibling;
c.insertAdjacentElement('afterbegin', d);
}while(!!(d=b));
}
if(!!p && 'mtable'!=mk_nodeName(p) && !p.querySelector('mtable')){
// n[i].children[0].children[0].insertAdjacentElement('afterbegin',p);
}
b = mk_tcunwrap(t,null,n[i].children[0].children[1]);
b.replaceChild(n[i].children[0].children[0], b.children[0]);
n[i].replaceChild(b, n[i].children[0]);
if(!!n[i].children[0].children[2].textContent.trim()){
mk_setStyle(n[i].children[0].children[2], 'border-top:1px solid');
}
p = n[i].parentNode;
if(!!(p=p.nextElementSibling) && ((!p.className||-1==p.className.indexOf('__mklinebreak'))&&!p.querySelector('.__mklinebreak')) ){
do{
b = p.nextElementSibling;
mk_appendChild(n[i].children[0].children[2], p);
}while(!!(p=b) && ((!p.className||-1==p.className.indexOf('__mklinebreak'))&&!p.querySelector('.__mklinebreak')));
}
if(!!c){
n[i].insertAdjacentElement('afterbegin',mk_tcunwrap(t,null,c));
}
p = n[i].parentNode;
mk_trunwrap(t,tbl=n[i],c=p.parentNode,p);
tbl.setAttribute('displaystyle','true');
}
n[i].removeAttribute('class');
}
n = node.getElementsByClassName('__mkline');
for(i=-1;n.length>++i;){
if(!!(p=n[i].parentNode) && !!(b=p.querySelector('.__mklinebreak'))){
b.parentNode.removeChild(b);
while(!p.previousElementSibling && !!(p=p.parentNode));
if(!!p && !!(p = p.parentNode)){
p.appendChild(tbl=t.pML('mtable'));
mk_trunwrap(t,tbl,p,tbl,true);
tbl.setAttribute('displaystyle','true');
}
}
}
n = node.getElementsByClassName('__mkline');
i = n.length;
while(-1<--i){
n[i].removeAttribute('class');
}
n = node.getElementsByTagName('mstyle');
i = n.length;
while(-1<--i){
n[i].removeAttribute('class');
}
do{
c = node.getElementsByClassName('__mklinebreak');
if(!!(n = c[0])){
if(!n.hasAttribute('linebreak')){
n.removeAttribute('class');
c = node.getElementsByClassName('__mklinebreak');
n = c[0];
continue;
}
p = n.parentNode;
j = !!n.nextElementSibling?1:0;
i = (!(i = n.getAttribute('height'))) ? mkLineHeight : parseInt(i.replace(/[^0-9\-]/g,''),10)*mkLineHeight;
n.removeAttribute('linebreak');
n.removeAttribute('height');
while(!!(n=p) &&!(p=null)&& !!(p = n.parentNode) && -1=='|math|mstyle|mrow|mtd|mfenced|'.indexOf(b=mk_nodeName(p)) && !!b);
b = t.pML('mtable');
b.appendChild(t.pML('mtr'));
b.appendChild(t.pML('mtr'));
b.children[0].appendChild(t.pML('mtd'));
b.children[1].appendChild(t.pML('mtd'));
n.insertAdjacentElement(0==j?'afterend':'beforebegin', b);
d = null;
d = b.children[0].children[0];
while(!!p.children[1] && b!=p.children[0]){
d.appendChild(p.children[0]);
}
d = b.children[1].children[0];
while(!!p.children[1] && b==p.children[0]){
d.appendChild(p.children[1]);
}
d = null;
d = 1==j ? b.children[1].children[0] : b.children[0].children[0];
if(!d.children || !d.children[0] || 'mpadded'!=mk_nodeName(d.children[0])){
d.insertAdjacentElement('afterbegin', t.pML('mpadded'));
}
d = d.children[0];
d.setAttribute('height', i+'px');
}
}while(0<c.length);
n = node.getElementsByTagName('mspace');
i = n.length;
while(-1<--i){
if(!!n[i].className && -1!=n[i].className.indexOf('__mkSpaceMrow')){
continue;
}
b = n[i].parentNode;
for(j=-1;b.children.length>++j;){
if('mspace'==mk_nodeName(b.children[j])){
mk_addClass(b.children[j],'__mkSpaceMrow');
if(!!(d=b.children[j].previousElementSibling)){
b.children[j].insertAdjacentElement('beforebegin',mk_appendChild( t.pML('mrow'), d));
if(!!(d=b.children[j].previousElementSibling)){
mk_appendChild(d, b.children[j]);
--j;
}
}else if(!!(d=b.children[j].nextElementSibling)){
b.children[j].insertAdjacentElement('afterend',mk_appendChild( t.pML('mrow'), d));
if(!!(d=b.children[j].nextElementSibling)){
d.insertAdjacentElement('afterbegin', b.children[j]);
--j;
}
}
}
}
}
n = node.getElementsByClassName('__mkSpaceMrow');
i = n.length;
while(-1<--i){
mk_removeClass(n[i],'__mkSpaceMrow');
}
mk_funwrap(node);
return node;
};
var mk_trunwrap = function(t,tbl,c,p,nodelay=false){
var j = -1, b = null, n = null, h=false, k=1024, d;
if(!c.children){
return;
}
c = c.children;
for(j=-1;c.length>++j;){
if(0>--k){
break;
}
if(c[j]!==p&&!!nodelay){
if(!!nodelay && 42!==nodelay && !n){
n = t.pML('mtd');
//n.setAttribute('columnalign','right');
}
d = false;
if(!!(b=c[j].querySelector('.__mkline')) || (b=c[j]).className.match(/\b\_\_mkline\b/)){
if(!!(d=b.className.match(/\b\_\_mkID([0-9]+)\b/))){
t.i[d[1]]='thus';
}
b.parentNode.removeChild(b);
mk_tcunwrap(t,null,n,true);
d=true;
}
if(!!c[j]&&!!(b=c[j].querySelector('.__mklinebreak'))){
if(!!d && c.length>(j+1) && p!=c[j+1]){
++j;
}
b.parentNode.removeChild(b);
if(!!n){
mk_tcunwrap(t,tbl,n);
}
n = t.pML('mtd');
// n.setAttribute('columnalign','right');
}
if(!!n){
n = mk_appendChild(n, c[j]);
}
--j;
}else if(c[j]===p){
nodelay = 42;//nag lé hitchikers condition
}
if(!!tbl.lastChild&&!!tbl.lastChild.lastChild&&!!tbl.lastChild.lastChild.textContent){
h=true;
}
}
if(!!n){
if(!!(b=n.querySelector('.__mklinebreak'))){
b.parentNode.removeChild(b);
}
mk_tcunwrap(t,tbl,n);
}
for(k=-1;tbl.children.length>++k;){
if(!!h){
d = mk_setStyle(tbl.children[k].children[1]);
if(!!d['border-bottom']){
mk_setStyle(tbl.children[k].children[2], 'border-bottom:'+d['border-bottom']+';padding-right:5px;');
}
}
tbl.children[k].children[1].setAttribute('columnalign','right');
tbl.children[k].children[2].setAttribute('columnalign','left');
}
};
var mk_tsunwrap = function(t,n){
var b,i,j,k,m,q={};
if(!n || !(b=n.querySelector('mstyle')) || !(m=b.className.match(/\b\_\_mkID([0-9]+)\b/))){
return 0;
}
if(-1!=n.innerHTML.indexOf('mathsize="small"')){
c=n.getElementsByTagName('mstyle');
for(i=-1;c.length>++i;){
if(!!c[i].className && !!(m=c[i].className.match(/\b\_\_mkID([0-9]+)\b/))){
t.o[m[1]].symbol.supressmath = true;
}
}
}else {
c=n.getElementsByTagName('mstyle');
for(i=-1;c.length>++i;){
if(!!c[i].className && !!(m=c[i].className.match(/\b\_\_mkID([0-9]+)\b/)) && 'mn'==t.o[j=parseInt(m[1],10)].symbol.ptag){
m.splice(0);
--j;
while(t.o.length>++j && (('mn'==t.o[j].symbol.ptag||('.'==t.o[j].symbol.output && t.o.length>(j+1) && 'mn'==t.o[j+1].symbol.ptag)) ? ((undefined==q[j]&&(m.unshift(q[j]=j))),!t.o[j].sp[2]) : 'mstyle'==t.o[j].symbol.ptag) && !t.o[j].sp[3]);
while(-1<--j && !t.o[j].sp[2] && (('mn'==t.o[j].symbol.ptag||('.'==t.o[j].symbol.output && -1<(j-1) && ('mn'==t.o[j-1].symbol.ptag || (-1<(j-2) && 'mstyle'==t.o[j-1].symbol.ptag && 'mn'==t.o[j-2].symbol.ptag)))) ? ((undefined==q[j]&&(m.push(q[j]=j))),!t.o[j].sp[2]) : 'mstyle'==t.o[j].symbol.ptag));
if(0<m.length){
t.o[m[0]].text = t.o[m[0]].symbol.output;
for(j=0;m.length>++j;){
t.o[m[0]].text+=t.o[m[j]].symbol.output;
t.o[m[j]].symbol.supressmath = true;
}
t.o[m[0]].__text = t.o[m[0]].text;
}
k=c[i].textContent;
m.splice(0);
while(c[i].children[0]){
m.push(c[i].children[0].getAttribute('style')||'');
c[i].removeChild(c[i].children[0]);
}
if('-'==k.charAt(0)){
j=k.charAt(1);
mk_appendChild(c[i],t.pML((('0'<=j&&j<='9')?'mn':'mi'),k.substring(0,1)));
k=k.substring(2);
}else{
j=k.charAt(0);
mk_appendChild(c[i],t.pML((('0'<=j&&j<='9')?'mn':'mi'),j));
k=k.substring(1);
}
if('.'==(j=k.charAt(0))){
j=k.charAt(1);
}
j = ('0'<=j&&j<='9')?'mn':'mi';
c[i].insertAdjacentElement('afterend',t.pML(j,k));
for(j=-1;c[i].children.length<++j;){
if(!!m[j]){
c[i].children[j].setAttribute('style',m[j]);
}
}
}
}
}
return 1;
};
var mk_tpunwrap = function(h=''){
return h.replace(/<(m[roi][ow]*)><\/\1>/g,'').replace(/(<mstyle[^>]*:line-through[^>]*>)(.*?)(<\/mstyle>)/g,'$1<menclose notation="downdiagonalstrike">$2</menclose>$3');
};
var mk_tcunwrap = function(t,tbl=null,n=null,b=false){
var h = '', i = 0, k = '', m = null, o = null, r = null, s = null;
if(!!n && !b){
mk_tsunwrap(t,n);
s = n.getAttribute('style');
o = t.pML('mtd');
h = n.innerHTML.replace(/(<\/?mspace[^>]*>)/g, ' $1 ');
if(!!(m = !!(k=-1!=h.indexOf('mathsize="small"')) ? h.match(/^(.*<[^>]*>[^<>]*)\.([^<>]*<[^>]*>.*)$/):
(h.match(/^(.*<[^>]*>[^<>]*[0-9])([^0-9,<>][^<>]*<[^>]*>.*)$/)
||h.match(/^(.*<[^>]*>[^<>]*[0-9][^<>]*<[^>]*>)(.*?<[^>]*>[^<>]*[^0-9,<>].*)$/
)))){
m[1] = m[1].replace(/\s*(<\/?mspace[^>]*>)\s*/g, '$1').trim();
m[2] = m[2].replace(/\s*(<\/?mspace[^>]*>)\s*/g, '$1').trim();
r=m[1].match(/<(\/?\s*[^\s<>]+)[^>]*>/g);
i=r.length;
m[3]={};
while(-1<--i){
r[i] = r[i].slice(1, r[i].indexOf(' '));
if(1<r[i].length && r[i].length!=(r[i].indexOf('/')+1)){
if(0==r[i].indexOf('/')){
m[4]=r[i].substring(1);
undefined==m[3][m[4]]?m[3][m[4]]=1:m[3][m[4]]++;
}else if(!m[3][r[i]]){
m[1]+='</'+r[i]+'>';
}else{
--m[3][r[i]];
}
}
}
r=m[2].match(/<(\/?\s*[^\s<>]+)[^>]*>/g);
i=-1;
m[3]={};
while(r.length>++i){
r[i] = r[i].slice(1, r[i].indexOf(' '));
if(1<r[i].length && r[i].length!=(r[i].indexOf('/')+1)){
if(0!=r[i].indexOf('/')){
m[4]='/'+r[i];
undefined==m[3][m[4]]?m[3][m[4]]=1:m[3][m[4]]++;
}else if(!m[3][r[i]]){
m[2]='<'+r[i].substring(1)+'>'+m[2];
}else{
--m[3][r[i]];
}
}
}
n.innerHTML= mk_tpunwrap(m[1]);
o.innerHTML= mk_tpunwrap(m[2]).replace('<mo>.</mo>','<mi>.</mi>');
//n.setAttribute('columnalign','right');
//o.setAttribute('columnalign','left');
if(0<o.children.length){
if(0==o.textContent.indexOf('.')){
mk_setStyle(o.children[0], 'margin-left:-8px;margin-right:1px;');
}else if(0==o.textContent.indexOf('\u2193')){
mk_setStyle(o.children[0], 'margin-left:-5px');
}
}
if(!!s&&s.indexOf('border-top')){
mk_setStyle(o, s);
}
}else{
n.innerHTML= mk_tpunwrap(n.innerHTML);
}
}
if(!!n){
r = mk_appendChild(mk_appendChild(mk_appendChild(t.pML('mtr'),t.pML('mtd')),n),o);
if(r.innerHTML.match(/font-size:[0-9][0-9]?[^0-9]/i)){
m = r.getElementsByTagName('mtd');
for(i=-1;m.length>++i;){
mk_setStyle(m[i], 'margin:0;padding:0;height:5px;line-height:5px;');
}
}
m = r.getElementsByClassName('__mklinebreak');
for(i=-1;m.length>++i;){
m[i].removeAttribute('class');
}
if(!!tbl){
tbl.insertAdjacentElement('beforeend',r);
}
if(!b){
return r;
}
}
if(!!b && !!(b = (!!tbl && !!tbl.lastChild) ? tbl.lastChild.children[1] : n)){
mk_setStyle(b, 'border-bottom:1px solid');
}
};
//todo: getstyle
var mk_setStyle = function(o,s=null){
var ss = {}, a=null, b='';
(o.getAttribute('style')||'').split(';').filter(function(v){
a = v.split(':');
if(1<a.length && !!(b=(a.shift()).trim().toLowerCase()) && !!(a[0]=(a.join(':')).trim())){
ss[b] = a[0];
}
});
if(null==s){
return ss;
}
s.split(';').filter(function(v){
a = v.split(':');
if(0<a.length && !!(b=(a.shift()).trim().toLowerCase())){
if(!!(a[0]=(a.join(':')).trim())){
ss[b] = a[0];
}else{
delete ss[b];
}
}
});
s = '';
Object.keys(ss).map(function(k){
s+=k+':'+ss[k]+';';
});
o.setAttribute('style', s);
};
var mk_unwrap = function(node, t='declare'){
if(!node || !node.children || 1!=node.children.length){
return node;
}
if('declare' == mk_nodeName(node.children[0])){
while(!!node.children[0].children[0]){
node.appendChild(node.children[0].children[0]);
}
node.removeChild(node.children[0]);
}
return ((('apply'!=t || -1!='|ci|cn|set|vector|cs|apply|'.indexOf(mk_nodeName(node.children[0])))&& t == mk_nodeName(node) && 1==node.children.length )) ? node.children[0] : node;
};
var mk_appendChild = function(p, c=null, r=true){
var cc=null, i=-1, j=-1;
if(!c||!c.nodeName){
return p;
}
p.appendChild(c);
if(r){
cc = p.getElementsByTagName('declare');
i = cc.length;
while(-1<--i){
j = cc[i].children.length;
while(-1<--j){
cc[i].insertAdjacentElement('beforebegin', cc[i].children[0]);
}
cc[i].parentNode.removeChild(cc[i]);
}
}
return p;
};
var mk_cFirstClosedTag = function(content){
var c = -1;
return (!!content && !!content.outerHTML && (c=content.outerHTML.indexOf('/>'))!=-1 && c<content.outerHTML.indexOf('>'));
};
var mk_cMinus = function(t, p){
if(!!t.o[p].neg){
var content = mk_content(t,p,true);
if('cminus'!=mk_nodeName(content) && (1!=content.children.length||'cminus'!=mk_nodeName(content.children[0]))){
var node = t.cML('apply', t.cML('minus'));
mk_appendChild(node, content);
content = node;
}
t.o[p].content = content;
delete t.o[p].neg;
}
return t.o[p].content;
};
var mk_cAffix = (function(){
var ops = ['suffixop','prefixop'];
return function(t,p,n=null){
var o = t.o[p];
if(!n && !!o._cAffix){
return;
}
var i = -1, j=-1, node=null, op=null;
i = ops.length;
while(-1<--i){
if(!!(op = o[ops[i]]) && 0<op.length){
j = -1, node = null;
while(op.length>++j){
node = t.cML('apply', t.cML(op[j].ctag || op[j].csymbol));
if(null==n){
mk_appendChild(node, o.content);
o.content = node;
}else{
mk_appendChild(node, n);
n = node;
}
}
}
}
if(undefined != o.suffixof){
node = null;
node = t.cML('apply', {symbol: o.ofprefixop});
mk_appendChild(node,mk_content(t, o.suffixof));//t.o[o.suffixof].content);
if(null==n){
mk_appendChild(node,o.content);
o.content = node;
}else{
mk_appendChild(node,n);
n=node;
}
}
t.o[p]._cAffix=true;
};
})();
var mk_cBvar = function(t,p,content=null,node=null){
var c = null, i = -1, j = -1, k = null==content ? 1 : t.o[p].c.length;
while(k>++i){
if(!!content && !!t.o[t.o[p].c[i]].c){
node = mk_cBvar(t, t.o[p].c[i], content, node);
}else {
c = null;
if(!content) {
c = p;
}else if(0<i && (!!t.o[t.o[p].c[i]].symbol.eq || !!t.o[t.o[p].c[i]].symbol.rel)){
j=i;
while(k>++j && 'mi'!=t.o[t.o[p].c[j]].symbol.ptag);
if(j<k){
c = t.o[p].c[j];
}
}
if(null!=c){
if(undefined!=t.o[c].subscript){
node = t.cML('apply',t.cML('selector'));
mk_appendChild(node, t.cML(c));
mk_appendChild(node,!!t.o[t.o[c].subscript].content?t.o[t.o[c].subscript].content:t.cML(t.o[c].subscript));
node = t.cML('bvar',node);
}else{
node = t.cML('bvar',t.o[c]);
}
if(undefined!=t.o[c].calcop && (undefined!=(j=t.o[c].order) || undefined!=(j=t.o[t.o[c].calcop].order))){
mk_appendChild(node,t.cML('degree', mk_content(t, j)));
}else if(undefined!=t.o[c].power){
mk_appendChild(node,t.cML('degree',mk_content(t, t.o[c].power)));
}
if(!!content){
mk_appendChild(content,node);
}
}
}
}
return node;
};
var mk_cSubPow = function(t,p,r=false,pre=''){
var o = t.o[p], u = false, pow = pre+'power', sub = pre+'subscript', b = null;
if(!!o._cSubPow && (!pre || !!o._cemSubPow)){
if(!!pre || (undefined==o._upower && undefined==o._usubscript)){
return;
}
u = true;
o._opower = o.power;
o._osubscript = o.subscript;
o.power = o._upower;
o.subscript = o._usubscript;
delete o._upower;
delete o._usubscript;
}
var content=o.content, i=(undefined==o['_'+sub]?o[sub]:null), j=-1, k=(undefined==o['_'+pow]?o[pow]:null), node=null, v=-1;
if(!content){
return mk_content(t,p);
}
if(mk_cFirstClosedTag(content) && 0!=content.children.length){
content = t.cML('apply', content);
}
if(!!(node = v = 'apply'==mk_nodeName(content)? content : content.querySelector('apply')) ){
for(j=-1;v.children.length>++j;){
if('bvar'==mk_nodeName(v.children[j])){
node = v.children[j];
}
}
}
if('apply'==mk_nodeName(node)){
node = node.firstChild;
}
if( !pre && UNDEROVER == o.symbol.type && undefined!=(v = (undefined!=i && !!t.o[i].c) ? i : ((undefined!=k && !!t.o[k].c)? k : undefined))){
if(!u){
node = mk_cBvar(t,v,content,node);
}
}
v = ((undefined!=i && undefined!=t.o[i][pow] && undefined==t.o[i]['_'+pow]) ? t.o[i][pow] : (undefined!=k ? k : -1));
if(undefined!=i){
if(!u && (UNDEROVER==o.symbol.type||!!o.symbol.integral)){
!!node ?
(node.insertAdjacentElement(
('apply'==mk_nodeName(node)? 'afterbegin' : 'afterend'),
t.cML('lowlimit',mk_content(t,i))
),(node = node.nextElementSibling)) : (mk_appendChild(
content,
node=t.cML('lowlimit',mk_content(t,i))
), (node=content.lastChild));
}else{
node = t.cML('apply', t.cML('selector'));
mk_appendChild(node,content);
mk_appendChild(node, mk_content(t,i));
content = node;
}
t.o[p].content = content;
if(undefined != t.o[i][pow]){
t.x[t.o[i][pow]] = true;
}
}
if(v>-1 && (!o['is'+sub] || r)){
t.x[v] = true;
if(!u && !pre && (UNDEROVER==o.symbol.type||!!o.symbol.integral)){
!!node ?
node.insertAdjacentElement(
('apply'==mk_nodeName(node)? 'afterbegin' : 'afterend'),
t.cML('uplimit',mk_content(t,v))
) : mk_appendChild(
content,
t.cML('uplimit',mk_content(t,v))
);
}else{
//TODO: better check on contents of PHANTOM and share
b = (!!t.o[v].c&&1==t.o[v].c.length)?t.o[t.o[v].c[0]]:t.o[v];
if('T'==b.symbol.input && (!!o.matrix ||PHANTOM==o.symbol.type||!!o.origin ||!o.stackname)){
node = t.cML('apply', t.cML('transpose'));
mk_appendChild(node,content);
}else if('-1'==b.symbol.input || '-1'==b.text){
node = t.cML('apply', t.cML('inverse'));
mk_appendChild(node,content);
}else{
node = t.cML('apply', t.cML('power'));
mk_appendChild(node,content);
mk_appendChild(node, mk_content(t,v));
}
content = node;
}
t.o[p].content = content;
if(undefined != t.o[v][sub] || undefined != t.o[v][pow]){
mk_cSubPow(t,v,true,pre);
mk_appendChild(t.o[p].content,t.o[v].content);
}
}
if(!u && !pre && !!t.o[p].symbol.integral && 'oint'==t.o[p].symbol.input){
b = [];
if(!!(content = t.o[p].content.querySelector('lowlimit'))){
b.push((!!content.firstChild?content.firstChild:content).cloneNode(true));
t.o[p].content.removeChild(content);
}
if(!!(content = t.o[p].content.querySelector('uplimit'))){
b.push((!!content.firstChild?content.firstChild:content).cloneNode(true));
t.o[p].content.removeChild(content);
}
if(0<b.length){
if(1==b.length){
b[1]=b[0].cloneNode(true);
}
node = t.cML('csymbol');
node.innerHTML = 'oriented_interval';
node = t.cML('apply', node);
mk_appendChild(node,b[0]);
mk_appendChild(node,b[1]);
content = t.o[p].content.querySelector('int');
content.insertAdjacentElement('afterend', node);
}
}
if(!r){
t.o[p]._cSubPow=true;
}
if(!!pre){
t.o[p]._cemSubPow=true;
}
if(!pre && (undefined!=o._opower || undefined!=o._osubscript)){
o.power = o._opower;
o.subscript = o._osubscript;
delete o._opower;
delete o._osubscript;
}
return t.o[p].content;
};
var mk_cLambda = function(t, a, d='r', c=0, b={}){
var i = a.length, j = -1;
if(0<i){
if(!c){
j = i;
'r'==d? RIGHTBRACKET==t.o[a[0]].symbol.type && (a.shift() ^ --i) : LEFTBRACKET==t.o[a[i-1]].symbol.type && (a.pop() ^ --i);
if(1==a.length && i!=j && !!t.o[a[0]].c){
if(!!t.o[a[0]].matrix||!!t.o[a[0]].set||!!t.o[a[0]].vector){
return a;
}
return mk_cLambda(t,t.o[a[0]].c.slice(0),d,++c);
}
}else if(1<i && RIGHTBRACKET==t.o[a[0]].symbol.type && LEFTBRACKET==t.o[a[i-1]].symbol.type){
a.shift(); --i;
a.pop(); --i;
}
while(0<--i){
if(!!t.o[a[i]].args){
j = t.o[a[i]].args.length;
while(-1<--j){b[t.o[a[i]].args[j]]=true;}
}
if(!!t.o[a[i]].c){
j = t.o[a[i]].c.length;
while(-1<--j){b[t.o[a[i]].c[j]]=true;}
}
if(!!t.o[a[i]].symbol.sep){
b[a[i]] = true;
}
}
if(0==c){
a.unshift(null);
}
return a.filter(function(v){return !b[v];});
}
return a;
};
var mk_popOp = function(t, p){
var o = t.o[p], i = -1, b = null;
if(!!o.ipopop && !!o.ipoparg){
b = null;
i = o.ipopop.length;
while(-1<--i){
b = t.cML('apply', t.cML(o.ipopop.shift().ctag));
mk_appendChild(b, o.content);
if(0<o.ipoparg.length){
mk_content(t, o.ipoparg[0], true);
mk_appendChild(b, t.o[o.ipoparg.shift()].content.cloneNode(true));
}
o.content = b;
}
delete t.o[p].ipopop;
}
};
var mk_content = function(t, p, force=false){
var o = t.o[p];
return (!!o.content && (!!o._forced || !force || !(!!o.vector || !!o.origin || !!o.matrix || !!o.set || !!o.matrixrow || !!o.crow || !!o.piecewise || !!o.suffixop || !!o.prefixop || !!o.ofprefixop || !!o.symbol.acc ||(PHANTOM==o.symbol.type&&!o._cSubPow&&undefined!=o.power)))) ? ((o._forced=false), o.content) : ((o._forced = force), mk_cTerm(t,p));
};
var mk_isValidId = function(id=''){
return !id ? false : 0!==id.toLowerCase().indexOf('xml') && id.match(/[a-zA-Z]/u) && id.match(/^[_a-zA-Z\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u02FF\u0370-\u037D\u037F-\u1FFF\u200C-\u200D\u2070-\u218F\u2C00-\u2FEF\u3001-\uD7FF\uF900-\uFDCF\uFDF0-\uFFFD\u{10000}-\u{EFFFF}][\-.0-9\u00B7\u0300-\u036F_a-zA-Z\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u02FF\u0370-\u037D\u037F-\u1FFF\u200C-\u200D\u203F-\u2040\u2070-\u218F\u2C00-\u2FEF\u3001-\uD7FF\uF900-\uFDCF\uFDF0-\uFFFD\u{10000}-\u{EFFFF}]*$/u);
};
var mk_getValidId = function(id=''){
id = !id ? '' : id.replace(/^.*[#]+/u,'').replace(/^[^_a-zA-Z\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u02FF\u0370-\u037D\u037F-\u1FFF\u200C-\u200D\u2070-\u218F\u2C00-\u2FEF\u3001-\uD7FF\uF900-\uFDCF\uFDF0-\uFFFD\u{10000}-\u{EFFFF}]*(?:[xX][mM][lL])?/ug,'').replace(/[^\-.0-9\u00B7\u0300-\u036F_a-zA-Z\u00C0-\u00D6\u00D8-\u00F6\u00F8-\u02FF\u0370-\u037D\u037F-\u1FFF\u200C-\u200D\u203F-\u2040\u2070-\u218F\u2C00-\u2FEF\u3001-\uD7FF\uF900-\uFDCF\uFDF0-\uFFFD\u{10000}-\u{EFFFF}]+/ug,'');
return !id ? '':(id.match(/[a-zA-Z]/u)? id : 'a'+id);
};
var mk_validStackRefName = function(sr='',s=false){
var k=sr.replace(/(?:^[",\s])|(?:[",\s]*$)/ug,'');
if(!k){
k = 'mk__'+mkHashSum.hash(sr);
}
return (!s&&!!mkExt.img[k]) ? mkExt.img[k] : k;
};
var mk_newStackOrigin = function(r='',s=''){
r=r.replace(/(?:^[",\s])|(?:[",\s]*$)/ug,'');
s=s.replace(/(?:^[",\s])|(?:[",\s]*$)/ug,'');
if(!r || !s){
return;
}
var k = r.length, j = -1;
while(k>++j){
mkRorigin[r.slice(-j)] = true;
}
mkOrigin[r]=s;
mkOrigin[' '+s]=r;
};
var mk_newStackName = function(sn='',s=''){
sn = mk_validStackRefName(sn,true===s);
var k = sn;
if(!!mkExt.sn[k] || (!!mkExt.sn[k=mk_trimUrl(sn)] && !!k)){
if(sn!=k){
mkExt.img[sn]=k;
}
return true===s? sn:k;
}
if(!k){
k=sn;
}
if(false===s){
return k;
}else if(true===s){
s='';
}
if(!!mkExt.cache[1] && 2>Math.abs(__levenshtein(k,mkExt.cache[1]))){
if(3<k.length || 1000>(Date.now()-mkExt.sn[mkExt.cache[1]].created) ){
mk_deleteExt(mkExt.cache[1]);
}
}
mkExt.cache[1]=k;
mkExt.sn[k] = {
data: '',
status: s,
original: '',
originalid: '',
hit: Date.now(),
created:Date.now(),
type: '',
hash: mk_idFromUrl(k),
id: '',
ref: '',
atype:''
};
return sn;
};
var mk_newStackRefId = function(id='',k=''){
var i = mk_getValidId(id), n='';
if(!i){
i = 'mk__'+mkHashSum.hash(id);
}
while(!!mkDoc.querySelector('#'+i+n) || (!!mkExt.id[id+n]&&k!=mkExt.id[i+n])){
if(0===mkExt.id[id+n].indexOf('mk__')){
mk_deleteExt(mkExt.id[id+n]);
break;
}
n=!n?1:++n;
}
return i+''+n;
};
var mk_newStackRef = function(r='',k=''){
var id = '';
r = mk_validStackRefName(r);
if(!k || !r){
return r;
}
if(!mkExt.sn[k]){
k=mk_newStackName(k);
}
if(!!mkExt.cache[0] && 2>Math.abs(__levenshtein(r,mkExt.cache[0])) && !!mkExt.ref[mkExt.cache[0]]){
if(3<r.length || 1000>(Date.now()-mkExt.sn[mkExt.ref[mkExt.cache[0]]].created) ){
mk_deleteExt(mkExt.ref[mkExt.cache[0]]);
}
}
if(!mkExt.sn[k]){
k=mk_newStackName(k);
}
mkExt.cache[0]=r;
id = mk_newStackRefId(r,k);
mkExt.ref[r]=k;
mkExt.id[id]=k;
if(!mkExt.sn[k].ref){
mkExt.sn[k].ref=r;
}
if(!mkExt.sn[k].id){
mkExt.sn[k].id=id;
}
return r;
};
var mk_getStackId = function(sn=''){
if(!mkExt.sn[sn] && !mkExt.sn[sn=mk_validStackRefName(sn)]){
return '';
}
if(!mkExt.sn[sn].id){
var id = mk_newStackRefId(mkExt.sn[sn].hash||sn, sn);
mkExt.id[id]=sn;
mkExt.sn[sn].id=id;
}
mkExt.sn[sn].hit = Date.now();
return mkExt.sn[sn].id;
};
var mk_getStackName = function(r=''){
var sn = '',b=(0==r.indexOf('#')?((r=r.substring(1)),'id'):'ref');
if(!(sn=mkExt[b][r]) && !(sn='ref'==b?mkExt.ref[mk_validStackRefName(r)]: mkExt.id[mk_validStackRefName(mk_getValidId(r))])){
return '';
}
mkExt.sn[sn].hit = Date.now();
return sn;
};
var mk_getStackRef = function(sn=''){
if(!mkExt.sn[sn] && !mkExt.sn[sn=mk_validStackRefName(sn)]){
return '';
}
mkExt.sn[sn].hit = Date.now();
return mkExt.sn[sn].ref;
};
var mk_getStackHref = function(sn=''){
if(!mkExt.sn[sn] && !mkExt.sn[sn=mk_validStackRefName(sn)]){
return '';
}
mk_getStackId(sn);
return 'math'==mkExt.sn[sn].type?sn.replace(/(\/\/[^a-z0-9]*\.?mathkey\.org)\/mk\//ui, '$1/ml/'):'#'+mkExt.sn[sn].id;
};
var mk_getExt = function(sn=''){
return mkExt.sn[sn] || mkExt.sn[mk_validStackRefName(sn)];
};
var mk_setExt = function(sn='', d=null, m={}){
if(!sn || !mkExt.sn[sn] || !mkExt.sn[sn=mk_validStackRefName(sn)]){
return;
}
var i;
if(!!d){
if('string'==typeof d){
if(0===d.indexOf('blob:')){
mkExt.sn[sn].status='completed';
mkExt.sn[sn].original = mkExt.sn[sn].data;
mkExt.sn[sn].data = d;
} else if(0===d.indexOf('data:image/')){
mkExt.sn[sn].status='imagetoblob';
mkExt.sn[sn].data = d;
mkExt.sn[sn].type = mk_typeImageUrl(sn);
}else {
mkExt.sn[sn].data = d;
}
}else if('object'==typeof d){
mkExt.sn[sn].status='completed';
if(!!d.querySelector && ('math'==mk_nodeName(d) || !!d.querySelector('math') )){
mkExt.sn[sn].data = d;
mkExt.sn[sn].type ='math';
}
}else{
mkExt.sn[sn].data = d;
}
}else if('string'==typeof d){
mk_deleteExt(sn);
return;
}
for(i in m){
mkExt.sn[sn][i] = m[i];
}
};
var mk_deleteExt = function(sn=''){
var i;
if(!sn){return;}
for(i in mkExt.id){
if(sn==mkExt.id[i]){
delete mkExt.id[i];
}
}
for(i in mkExt.img){
if(sn==mkExt.img[i]){
delete mkExt.img[i];
}
}
for(i in mkExt.ref){
if(sn==mkExt.ref[i]){
delete mkExt.ref[i];
}
}
var k ='',j=-1;
mkRorigin={};
delete mkOrigin[' '+sn];
for(i in mkOrigin){
if(sn==mkOrigin[i]){
delete mkOrigin[i];
continue;
}
if(' '==i.charAt(0)){
continue;
}
k=i.length;
j = -1;
while(k>++j){
mkRorigin[i.slice(-j)]=true;
}
}
delete mkExt.sn[sn];
};
var mk_findStackName = function(t,eq,i,a=false){
var f = i, k = i;
a = 1===a ? ',' : ')';
while(-1<--k && !t.o[k].pos);
while(-1<--f && !(t.o[i].l==t.o[f].l && a==t.o[f].symbol.input));
return eq.slice(t.o[k].pos,!!t.o[f]?t.o[f].pos:(eq.length-1));
};
var mk_cTerm = function(t,p){
var b = null, ext=null, i = -1, j = -1, k = '', o = t.o[p];
if(undefined==o.__thaw){
mk_thaw(t,p);
}
if(!o._cminus){
o._cminus=0;
}
if( !!o.origin && !!(k=mk_getStackHref(mk_getStackName(o.origin) ))){
o.content = t.cML('share');
o.content.setAttribute('href',k);
}else if(!!o.stackname && 'stackrel'==o.symbol.input){
ext = mk_getExt(o.stackname);
k = 'MathML-Content';
b = [null,null];
if(undefined===o.stackref && undefined===o.arg){
b[0]=t.cML('cs',undefined!==ext?ext.data:'');
b[1]=t.cML();
}else if(undefined===ext || 'error'===ext.data){
if(!!ext.data){
b[0]=mk_content(t,undefined===o.stackref?o.arg:o.stackref);
b[1]=t.cML('cs',ext.data);
}else if(undefined===o.stackref){
b[0]=mk_content(t,o.arg);
b[1]=t.cML();
}else {
i = mk_getStackId(o.stackname);
if(!!i){
b[0] = mk_appendChild(t.cML('lambda'), mk_content(t,o.stackrel));
b[0] = mk_appendChild(t.cML('apply'), b[0]);
b[0].setAttribute('id',i);
b[1] = mk_content(t, o.stackref);
}else{
b[0] = mk_content(t,o.stackref);
b[1] = mk_content(t, o.stackrel);
}
}
}else if('image'==o.stype.substring(0,5)){
k='text/html';
if(undefined===o.stackref){
b[0]=t.cML();
}else{
b[0]=mk_content(t,o.stackref);
}
b[1] = t.cML('img');
b[1].setAttribute('src', ext.data.replace(/"/ug,'&quote;'));
b[1].setAttribute('alt', ext.ref);
if(undefined!==o.stackref){
b[1].setAttribute('id',mk_getStackId(o.stackname));
}
}else if('math'==o.stype){
j = mk_getStackHref(o.stackname);
if(undefined===o.stackref){
if(-1!=o.stackname.indexOf('#')){
delete t.o[o.arg].mk;
o.content = t.cML('share');
o.content.setAttribute('href',j);
return o.content;
}
if(!ext.data.mathKey){
k = 'MathML-Presentation';
b[0] = t.cML();
b[1] = mk_replaceML(ext.data);
}else{
b[0] = mk_replaceML(t,ext.data.mathKey);
b[1] = t.cML('cs', o.stackname);
}
}else{
if(!ext.data.mathKey){
if(!h.hash){
k = 'MathML-Presentation';
b[0] = mk_content(t,o.stackref);
b[1] = mk_replaceML(t,ext.data);
}else if(-1!=o.stackname.indexOf('#')){
b[0] = mk_appendChild(t.cML('lambda'), mk_content(t,o.stackref));
b[0] = mk_appendChild(t.cML('apply'), b[0]);
b[0].setAttribute('id',ext.id);
b[1] = t.cML('share');
b[1].setAttribute('href',j);
}else{
k = 'MathML-Presentation';
b[0] = mk_appendChild(t.cML('lambda'), mk_content(t,o.stackref));
b[0] = mk_appendChild(t.cML('apply'), b[0]);
b[0].setAttribute('id',ext.id);
b[1] = mk_replaceML(t,ext.data);
}
}else{
b[0] = mk_replaceML(t, ext.data.mathKey);
b[1] = mk_content(t,o.stackref);
if(!!ext.id){
b[0] = mk_appendChild(t.cML('lambda'), b[0]);
b[0] = mk_appendChild(t.cML('apply'), b[0]);
b[0].setAttribute('id',ext.id);
}
}
}
}else if('function'==o.stype){
if(undefined===o.stackref){
b[0] = t.cML();
b[1] = mk_content(t,o.arg);
mk_setExt(o.stackname,b[1].cloneNode(true));
}else{
if(!!ext.id){
b[0] = mk_appendChild(t.cML('lambda'), mk_content(t,o.stackrel));
b[0] = mk_appendChild(t.cML('apply'), b[0]);
b[0].setAttribute('id',ext.id);
b[1] = mk_content(t, o.stackref);
mk_setExt(o.stackname,b[0].cloneNode(true));
}else{
b[0] = mk_content(t,o.stackref);
b[1] = mk_content(t, o.stackrel);
mk_setExt(o.stackname,b[1].cloneNode(true));
}
}
}else{
if(undefined===o.stackref){
b[0] = t.cML();
b[1] = mk_content(t,o.arg);
}else{
b[0] = mk_content(t,o.stackref);
b[1] = mk_content(t, o.stackrel);
}
mk_setExt(o.stackname,b[1].cloneNode(true));
}
b[0] = mk_appendChild(t.pML('semantics'),b[0]);
b[1] = mk_appendChild(t.pML('annotation-xml'), b[1]);
b[1].setAttribute('encoding',k);
o.content = mk_appendChild(b[0], b[1]);
if(undefined!==o.stackref){
delete t.o[o.stackref].mk;
delete t.o[o.stackref].mk;
}
return o.content;
} else if(!!o.symbol.output&&'e'==o.symbol.output&&undefined!=o.power){
if(!o.args){
o.args=[];
}
o.args.push(o.power);
delete t.o[o.power].ispower;
t.o[o.power].isarg = true;
t.o[o.power].symbol.type = PHANTOM;
delete t.o[p].power;
o.symbol.ctag = 'exp';
o.symbol.type = UNARY;
}else if(TEXT==o.symbol.type){
o.content = !!o.text ? t.cML('cs', o.text) : t.cML();
}else if('dot'==o.symbol.input || 'ddot'==o.symbol.input){
o.content = mk_appendChild(t.cML('apply', t.cML('diff')), t.cML('ci', o.text.replace(/^\.+/ug,'')));
if('ddot'==o.symbol.input){
o.content = mk_appendChild(t.cML('apply', t.cML('diff')), o.content);
}
}else if(undefined != o.p && t.o[o.p].piecewise){
if(!o.content){
o.content = t.cML(p);
}
if(!t.o[o.p].content){
t.o[o.p].content = t.cML(t.o[o.p].ctag);
t.o[p]._p = true;
}
while(!!(b = o.content.querySelector('if'))){
if(!b.parentNode){
b = t.cML('declare',b).children[0];
}
k = b.parentNode;
o.content = t.cML('apply', !!k.children[0] ? k.children[0].cloneNode(true):'approx');
while(!!b.nextElementSibling){
mk_appendChild(o.content, b.nextElementSibling.cloneNode(true));
k.removeChild(b.nextElementSibling);
}
k.removeChild(k.children[0]);
k.removeChild(b);
if('apply'==mk_nodeName(k) && 'apply'!=mk_nodeName(k=mk_unwrap(k,'apply')) ){
k = t.cML('declare',k);
}
k.insertAdjacentElement('afterend',o.content);
o.content = mk_unwrap(!!k.parentNode ? k.parentNode : k);
mk_appendChild(t.o[o.p].content, t.cML('piece', o.content));
}
return t.o[o.p].content;
}
if((!o.content || ('declare'==mk_nodeName(o.content) &&0==o.content.children.length) )&& !!(o.content = t.cML(p))){
t.o[p].content = mk_unwrap(o.content);
if(undefined!=o.calcopof){
mk_cMinus(t, p);
return o.content;
}
}
if(
(o[k='matrix'] || o[k='vector'] || o[k='set'] || o[k='matrixrow'] || o[k='piecewise']) || ((o['vectorcol'] || o['setcol'] ||
-1 != '|vector|set|matrixrow|matrix|'.indexOf('|'+mk_nodeName(o.content)+'|'))? (k='istrue') :
((k='apply'),((-1=='|apply|bvar|cn|ci|degree|lowlimit|uplimit|'.indexOf('|'+mk_nodeName(o.content)+'|') || ('ci'==mk_nodeName(o.content) && !!o.ctype && 'function'==o.ctype)) && (CONST!=o.symbol.type || !o.symbol.sym))))){
if('istrue'==k){
t.o[p]._p = true;
if((!!o.vectorcol||!!o.setcol)&&'declare'==mk_nodeName(o.content) && 1<o.content.children.length&&!mk_cFirstClosedTag(o.content)){
o.content = t.cML('list', o.content);
}
return o.content;
}else if('apply'!=k){
if(('declare'==(j=mk_nodeName(o.content)) && (0<o.content.children.length || k!=j)) ||k!=j){
o.content = t.cML(k, o.content);
t.o[p]._p = true;
}
if('matrixrow'!=k){
mk_cAffix(t,p);
mk_cSubPow(t,p);
mk_popOp(t,p);
}
return t.o[p].content;
}else if(!!o.args){
o.content = t.cML(k, o.content);
}
}
if(!!o.symbol.integral){
if(!o.int){
if(undefined!=o.dop){
mk_appendChild(o.content, mk_cBvar(t,o.dop));
mk_cSubPow(t, p);
mk_cAffix(t, p);
mk_cSubPow(t,p,false,'em');
if(undefined!=o.intop){
t.o[o.intop]._content = mk_appendChild(o.content, t.o[o.intop]._content);
if(p==o.intop){
}
delete o.intop;
}
delete o.dop;
return o.content;
}
}else{
o._int = [];
if(!o.args){
o.args = [];
}
k=-1;
b = null;
if(!(0==o.args.length || !t.o[i=o.args[0]].c || 0==t.o[i].c.length || undefined==(i=t.o[k=t.o[i].c[0]].calcop))){
++i;
b=[];
while(-1<--i){
if((undefined!=t.o[i].op && (p==t.o[i].op||(1<b.length && undefined!=t.o[i].calcopof && undefined!=t.o[b[1]].intop && t.o[b[1]].intop==t.o[i].op))) || (undefined!=t.o[i].calcop&&b[0]==t.o[i].calcop)){
b.unshift(i);
}
}
}
if(!!t.o[k]){
if(undefined!=t.o[k].power){
o._upower = t.o[k].power;
delete t.o[k].power;
}
if(undefined!=t.o[k].subscript){
o._usubscript = t.o[k].subscript;
delete t.o[k].subscript;
}
}
if(!!b){
k = -1;
i = b.length;
if(2<i && 1==o.int.length && !!t.o[o.int[0]].args && undefined!=(k=t.o[o.int[0]].args[0]) && !!t.o[k].calcop && !!t.o[k].suffixop){
delete o.suffixop;
o.suffixop = t.o[k].suffixop;
delete t.o[k].suffixop;
}
k=-1;
while(-1<--i){
if(undefined!=t.o[b[i]].intop||(undefined!=t.o[b[i]].calcop&&undefined!=t.o[t.o[b[i]].calcop].op&& t.o[t.o[t.o[b[i]].calcop].op].symbol.integral )){
if(undefined!=t.o[b[i]].calcop){
if(-1==k && !!t.o[b[i]].suffixop){
delete o.suffixop;
o.suffixop = t.o[b[i]].suffixop;
delete t.o[b[i]].suffixop;
}
k=t.o[b[i]].calcop;
}
if(undefined!=t.o[b[i]].intop){
t.o[t.o[b[i]].intop].dop = t.o[b[i]].calcopof;
o._int.unshift(t.o[b[i]].intop);
}
b.splice(i,1);
}
}
if(-1!=k && undefined!=(k=t.o[k].intop)){
if(undefined!=o._upower){
t.o[k]._upower = o._upower;
delete o._upower;
}
if(undefined!=o._usubscript){
t.o[k]._usubscript = o._usubscript;
delete o._usubscript;
}
if(undefined!=o.suffixop){
t.o[k].suffixop = o.suffixop;
delete o.suffixop;
}
}
}
if(!!o.int && undefined!=o.int[0]){
mk_appendChild(o.content, mk_cBvar(t,t.o[o.int[0]].calcopof));
}
}
}
if(!!(b=o.symbol.barge) && !!b.length){
i=-1;
k = b.length-1;
if(!o.args){
o.args = [];
}
while(k>(j=++i)){
mk_appendChild(o.content, t.cML(
('^'==b[i++].charAt(0) ? (o.args.push(undefined!=(o._power=o.power) ? mk_content(t,o.power) : t.cML(!b[i].toPrecision?'mi':'mn',b[i])), b[j].slice(1)) :
('_'==b[j].charAt(0) ? (o.args.push(undefined!=(o._subscript=o.subscript) ? mk_content(t,o.subscript) : t.cML(!b[i].toPrecision?'mi':'mn', b[i])), b[j].slice(1)) :
(o.args.push(1<o.args.length ? mk_content(t, o.args.pop()) : t.cML((!b[i].toPrecision?'mi':'mn'),b[i])), b[j]))), o.args.pop()));
}
if(0==o.args.length){
delete o.args;
}
}
if( UNDEROVER == o.symbol.type ||!!t.o[p].symbol.integral){
(!!o.suffixop && undefined!=o.power)?(mk_cAffix(t, p),mk_cSubPow(t, p)):(mk_cSubPow(t, p),mk_cAffix(t, p));
}
if(undefined == o.calcopof && !!o.args && 0<o.args.length){
j = -1;
if(undefined!=(j=o.apply) && 0<j && (b=t.o[o.args[0]]).c.length>++j){
o.farg = mk_cLambda(t, b.c.slice(j, b.c.length), 'l');
o.func = mk_cLambda(t, b.c.slice(0, --j));
i=o.farg.length;
if(0<i && null==o.farg[0]){
o.farg.shift();
--i;
}
b = [[],[]];
while(-1<--i){
b[0].push(mk_content(t, o.farg[i]).outerHTML.replace(/ xmlns="[^"]+"/ig,''));
mk_appendChild(o.content, t.cML('bvar', t.o[o.farg[i]].content));
}
i=o.func.length;
if(0<i){
if(null==o.func[0]){
o.func.shift();
--i;
while(-1<--i){
if(!!t.o[o.func[i]].mk){
t.o[o.func[i]].content = t.o[o.func[i]].mk;
b[1].unshift(o.func[i]);
}
}
if(0<b[1].length){
o.func = b[1].map(mk_acopy);
if(!!(b[1] = t.o[o.func[0]].content.querySelector('tendsto'))){
if(!!b[1].parentNode){
b[1] = b[1].parentNode;
}
if(!!b[1].parentNode){
b[1] = b[1].parentNode;
}
b[2] = b[1].innerHTML.replace(/<apply[^>]*><tendsto[^>]*>(.*)<\/apply>/ui, '<tendsto><\/tendsto>$1');
b[3] = b[2].substr(0,b[2].indexOf('<tendsto><\/tendsto>'));
b[4] = b[2].substr(b[2].indexOf('<tendsto><\/tendsto>')+19);
for(i in b[0]){
b[4] = b[4].replace(b[0][i], '');
}
try{
t.o[o.func[0]].content.innerHTML = b[3].replace(/\s*xmlns="[^"]+"/ug,'')+b[4].replace(/\s*xmlns="[^"]+"/ug,'');
}catch(e){
console.log(e);
}
t.o[o.func[0]].content = mk_unwrap(t.o[o.func[0]].content,'apply');
}
}
}else{
k = o.func[0];
if(false!==k && !!t.o[k].mk){
o.func = [k];
if(!!(k = t.o[k].mk.querySelector('tendsto'))){
t.o[o.func[0]].mk.removeChild(k);
}
t.o[o.func[0]].content = t.o[o.func[0]].mk;
t.o[o.func[0]]._p=true;
}
}
}
i=o.func.length;
while(-1<--i){
b = mk_content(t, o.func[i]);
if(!!b.outerHTML.match(/^<apply[^>]*><apply[^>]*>/i)){
b = mk_unwrap(b, 'apply');
}
mk_appendChild(o.content, b);
}
}else{
i = -1;
j=o.args.length;
o._arg = null;
while(j>++i){
b = o.args[i];
if((INFIX==t.o[b].symbol.type&&('_'==t.o[b].symbol.input||'^'==t.o[b].symbol.input))){
continue;
}
if(!!t.o[b][k='matrix'] || (!!t.o[b][k='vector'] || !!t.o[b][k='set'])){
if( ((undefined!=o.power && undefined!=t.o[b].power && o.power==t.o[b].power)&&((delete t.o[p].power),true))||!t.o[b].content || k!=mk_nodeName(t.o[b].content)){
t.o[b].content = t.cML(k, t.o[b].content);
delete t.o[b]._cAffix;
delete t.o[b]._cSubPow;
delete t.o[b]._cemSubPow;
mk_cAffix(t, b);
mk_cSubPow(t, b);
mk_cSubPow(t,b,false,'em');
}
}else{
!!t.o[b]._content ? ((t.o[b].content=t.o[b]._content),delete t.o[b]._content) : mk_content(t, b);
if(((undefined==t.o[p]._apower && undefined==t.o[p]._asubscript) && ((undefined!=o.arg?((k=o.arg),(o._arg = o.arg),(delete o.arg),1):0) || (1==j&&-1!=(k=b)))) && (UNDEROVER != o.symbol.type && !o.symbol.integral && !!t.o[k].c && undefined!=t.o[k].c[0] && RIGHTBRACKET==t.o[t.o[k].c[0]].symbol.type && (((undefined!=t.o[k].power && (undefined!=o.power || o.power!=t.o[k].power)) && ((o._apower=t.o[k].power),1) ) ^ ((undefined!=t.o[k].subscript && (undefined==o.subscript || o.subscript!=t.o[k].subscript)) && ((o._asubscript=t.o[k].subscript),0))) && (undefined!=o._apower||undefined!=o._asubscript))){
delete t.o[k]._cSubPow;
}else{
k = -1;
}
if(b!=k){
if(undefined!=o.power && undefined!=t.o[b].power && o.power==t.o[b].power){
delete t.o[b].power;
}
if(undefined!=o.subscript && undefined!=t.o[b].subscript && o.subscript==t.o[b].subscript){
delete t.o[b].power;
}
mk_cSubPow(t, b);
mk_cSubPow(t,b,false,'em');
}
}
'bvar'==mk_nodeName(t.o[b].content) ? (('apply'==mk_nodeName(o.content)&&!!o.content.firstChild)?o.content.firstChild.insertAdjacentElement('afterend', t.o[b].content.cloneNode(true)):o.content.insertAdjacentElement('afterbegin', t.o[b].content.cloneNode(true))): mk_appendChild(o.content, t.o[b]._content || t.o[b].content);
}
if(undefined!=o._arg){
o.arg = o._arg;
delete o._arg;
}
if(undefined!=o._apower||undefined!=o._asubscript){
o.power = o._apower;
o.subscript = o._subscript;
delete t.o[p]._cSubPow;
}
}
}
(!!o.suffixop && undefined!=o.power&&!o.args)?(mk_cAffix(t, p),mk_cSubPow(t, p)):(mk_cSubPow(t, p),mk_cAffix(t, p));
mk_cSubPow(t,p,false,'em');
if(!t.x[p]){
mk_cMinus(t, p);
o._cminus=true;
mk_popOp(t, p);
t.o[p].content = mk_unwrap(o.content);
}
if(!!o.symbol.integral && !!o._int && 0<(i=o._int.length)){
t.o[o._int[0]]._content = t.o[p].content;
while(-1<--i){
t.o[o._int[i]].intop = o._int[0];
}
}
return o.content;
};
var mk_cResolveDiff = function(t,a,i=null){
var content = null, j = -1, node = null, q = null, r = null;
while(a.length>++j){
r = a[j];
if(!Array.isArray(r)){
if(undefined!=t.o[r].calcopof && DIFFERENTIAL==t.o[r].symbol.type){
t.o[r]._cSubPow=true;
if(!!t.o[r].isnumerator || !!t.o[r].isdenominator){
if(undefined!=t.o[r].op && !!t.o[q = t.o[r].op].diff && !!t.o[q].diff[0] && !!t.o[q].diff[1] && null!==t.o[q].diff[0][0] && t.o[q].diff[0][0] == t.o[q].diff[1][0]){
if(!!t.o[r].neg){
!!t.o[q].neg? delete t.o[q].neg : t.o[q].neg=true;
}
if(null!=i){
t.o[t.o[t.c.op[i][j]].op].symbol.ctag = 1==t.o[q].diff[0][0].length ? 'diff' : 'partialdiff';
t.c.op[i].splice(j--,1);
}
delete t.o[q].symbol.arith;
}else{
//todo: algebra
content = t.o[r].content.cloneNode(true);
t.o[r].content = t.o[r].content.firstChild;
if(undefined!=t.o[t.o[r].calcopof].power){
t.o[r].power=t.o[t.o[r].calcopof].power;
delete t.o[r]._cSubPow;
mk_cSubPow(t,r);
}
node = t.cML('apply',t.cML('d'==t.o[r].symbol.input? 'diff' : 'partialdiff'));
mk_appendChild(node,content);
t.o[r].content = mk_appendChild(node,t.o[r].content);
}
}else if(undefined==t.o[r].op || !t.o[t.o[r].op].symbol.integral){
//todo: algebra
content = t.o[r].content.cloneNode(true);
t.o[r].content = t.o[r].content.firstChild;
if(undefined!=t.o[t.o[r].calcopof].power){
t.o[r].power=t.o[t.o[r].calcopof].power;
delete t.o[r]._cSubPow;
mk_cSubPow(t,r);
}
node = t.cML('apply',t.cML('d'==t.o[r].symbol.input? 'diff' : 'partialdiff'));
mk_appendChild(node,content);
t.o[r].content = mk_appendChild(node,t.o[r].content);
}
}
}
}
};
var mk_cChildren = function(t,p){
return !!t.o[p].c ? t.o[p].c :((1==t.o[p].args.length && !!t.o[t.o[p].args[0]].c) ? t.o[t.o[p].args[0]].c : ((undefined!=t.o[p].arg && !!t.o[t.o[p].arg].c) ? t.o[t.o[p].arg].c : [] ));
};
var mk_cText = function(t, p){
var content, i, j, k, o = t.o[p];
if(!o._text && !!o.text && Array.isArray(o.text)){
if(0<(j = o.text.length)){
content = t.cML();
k = '';
if('mi'==o.text[0].ptag){
if(o.symbol.acc){
k = '-'==o.text[0].text.charAt(0) ? ((o.text[0].text=o.text[0].text.replace('-','')),'-') : '';
o.text[0].text = k + o.symbol.output + o.text[0].text;
k = '';
}
k = o.text[0].text = o.text.map(mk_tcopy).join('');
o.text.splice(1);
j = o.text.length;
if(MULTI==o.symbol.type){
o.symbol.type = VAR;
}
}
mk_appendChild(content, t.cML(o.text[0].ptag, o.text[0].text));
if(1<j){
i = 0;
while(j>++i){
k+=o.text[i].text;
mk_appendChild(content,t.cML(o.text[i].ptag, o.text[i].text));
}
}
}
if(!!o.symbol.ctype && !!content.firstChild){
content.firstChild.setAttribute('type',o.symbol.ctype);
}
o._text = true;
!!o.symbol.output?o.text = k:o.symbol.output=k;
o.content = content;
}
};
var mk_cNeg = function(t,p,n=false){
var o = t.o[p],i,j,r;
i = undefined!=o.text && !o._text;
j = -1!='|mi|mn|munder|mover|'.indexOf(o.symbol.ptag)||DIFFERENTIAL==o.symbol.type;
r = !!o._text && !!o.text && !!o.text.firstChild;
if(!!n){
if(j && (!o.text || !o.text.charAt || '-'!=o.text.charAt(0) )){
o.symbol.output = '-'==o.symbol.output.charAt(0) ? o.symbol.output.slice(1):'-'+o.symbol.output;
}else if(i){
o.text = '-'==o.text.charAt(0) ? o.text.slice(1) : '-' + o.text;
}else if(r){
o.text.firstChild.textContent = '-'==o.text.firstChild.textContent.charAt(0) ? o.text.firstChild.textContent.slice(1) : '-' + o.text.firstChild.textContent;
}else if(!!o.content || !!o.mk){
if(!o.text){
o.text = '';
}
n = Array.isArray(o.text) ? o.text[0] : o;
o.text = '-'==n.text.charAt(0) ? n.text.slice(1) : '-' + n.text;
}
t.c.mem['-'] = false;
}
if(j&&'-'==o.symbol.output.charAt(0)){
o.symbol.output = o.symbol.output.slice(1);
o.neg = true;
}else if(i && '-'==o.text.charAt(0)){
o.text = o.text.slice(1);
o.neg = true;
}else if(r && '-'==o.text.firstChild.textContent.charAt(0)){
o.text.firstChild.textContent = o.text.firstChild.textContent.slice(1);
o.neg = true;
}
};
var mk_contents = (function(){
var dcompare = function(a,b){
return a[1]===b[1]? (a[2]===b[2]?(a[3]===b[3]?0:(a[3]>b[3]?1:-1)):(a[2]>b[2]?-1:1)) :(a[1]>b[1]?-1:1);
}, acompare = function(a,b){ return (a=parseInt(a,10))==(b=parseInt(b,10))?0:(a>b?1:-1); };
return function(t, p, c){
var b=null, content=null, i=-1, j=-1, k='', l=t.o[p].l, node=null, o=t.o[p], r=null;
mk_cText(t,p);
if(1==mkDebug){
console.log(t.o[p].symbol.output+': '+p+'@'+t.o[p].l);
console.log(JSON.stringify(c));
}
i = j = c.indexOf(p);
if(undefined == (k=c[++i]) || -1 == k || !!t.o[k].xbracket || (LEFTBRACKET == t.o[k].symbol.type && (undefined == (k=c[++i]) || -1 == k || !!t.o[k].xbracket ) )){
b = false;
}
if(-1==--j || undefined == (k=c[j]) || -1 == k || !!t.i[k] || !!t.o[k].xbracket || (RIGHTBRACKET == t.o[k].symbol.type && (undefined == (k=c[j-1]) || -1 == k || !!t.o[k].xbracket ) ) ){
b = false == b ? 1 : true;
if(undefined != t.o[k=c[j]] && RIGHTBRACKET == t.o[k].symbol.type){
t.x[k]=true;
}
}
if(!b && t.x[c[j]]){
while(-1<--j && t.x[k=c[j]] && !t.o[k].xbracket);
if( -1 == j || undefined == c[j] || -1 == c[j]){
b = false === b ? 1 : true;
}
}
if(o.isarg){
t.x[p] = true;
}
if(!!o.outfixop){
o.content = mk_appendChild(t.cML('apply', t.cML(o.outfixop)), mk_content(t, p));
}
if(!!t.i[p]){
if(undefined==t.annotation){
t.annotation=p+1;
}
b = 1;
o.symbol.ctag = 'cysmbol';
o.symbol.ctype = 'thus';
o.symbol.type = CONST;
o.symbol.output = t.i[p];
}
if(!t.annotate&&undefined!=t.annotation){
b=1;
t.annotate = mk_appendChild(t.cML('semantics'), t.cML('annotation-xml'));
t.annotate.lastChild.setAttribute('encoding', 'MathML-Content');
}
k = o.symbol.type;
if(!!o.ofsuffixop && o.ofsuffixop.infixswap){
r = mk_cloneSymbol(t.o[o.prefixof].symbol);
t.o[o.prefixof].symbol = mk_cloneSymbol(o.symbol);
delete o.ofsuffixop.infixswap;
o.symbol = r;
if('mlongdiv'==o.ofsuffixop.ptag && !!o.sp[2] && !!t.c.arg && t.c.arg[0] && 'mn'==t.o[t.c.arg[0]].symbol.ptag){
if(undefined==t.annotation){
t.annotation=o.prefixof;
}
}
r = null;
}
if((j=(RIGHTBRACKET==k || LEFTBRACKET==k || LEFTRIGHT==k || !!o.issubscript || !!o.ispower || !!o.symbol.sep || !!o.symbol.supressmath) ) || undefined!=o.prefixof || !(VAR==k || CONST==k || UNARY==k || 'mfrac'==o.symbol.ptag || UNDEROVER==k || DIFFERENTIAL==k || PHANTOM==k || MULTI==k || BINARY==k || TEXT==k)){
if(!j){
mk_content(t, p);
mk_cNeg(t,p,t.c.mem['-']);
if((!!o.content || !!o.mk) && !!o.neg){
if(!!o.mk){
o.content = o.mk;
}
mk_cMinus(t, p);
if(!!o.mk){
o.mk = o.content;
}
}
}
}else{
if(DIFFERENTIAL == k && undefined != o.calcopof){
j = p;
while(!t.o[j].isdenominator && !t.o[j].isnumerator && undefined!=t.o[j].p && undefined!=t.o[j=t.o[j].p]);
if(undefined==o.intop){
o.content = mk_cBvar(t,o.calcopof);
}else{
t.o[p].symbol.supressmath = true;
t.o[o.calcopof].symbol.supressmath = true;
}
if(undefined!=o.op && !!t.o[o.op].symbol.integral){
if(undefined==o.intop && undefined!=o.op){
if(!t.o[o.op].int){
t.o[o.op].int = [];
}
t.o[o.op].int.push(p);
r = mk_cChildren(t,o.op);
j = r.length;
}
o.isarg = true;
}else if(!!t.o[j].isdenominator){
r = t.o[t.o[j].op];
if(!r.diff){
r.diff = [null,null];
}
if(!r.diff[1]){
r.diff[1] = [o.symbol.input];
}
r.diff[1].push(p);
t.o[o.calcopof].isdenominator=true;
t.o[o.calcopof].op=t.o[j].op;
//mark operator as partialdiff or diff
}else if(!!o.isnumerator){
r = t.o[t.o[j].op];
if(!r.diff){
r.diff = [null,null];
}
if(!r.diff[0]){
r.diff[0] = [o.symbol.input];
}
t.o[o.calcopof].isnumerator=true;
t.o[o.calcopof].op=t.o[j].op;
r.diff[0].push(p);
t.o[p]._content = t.cML();
content = t.cML();
if(!!t.o[o.calcopof].args){
i=-1;
j = t.o[o.calcopof].args.length;
while(j>++i){
if(!!t.o[t.o[o.calcopof].args[i]].content){
mk_appendChild(content,
t.o[t.o[o.calcopof].args[i]].content.cloneNode(true));
}
}
}else if(!!t.o[o.calcopof].c){
mk_appendChild(content,mk_content(t,o.calcopof));
}
if(undefined!=t.o[o.calcopof].power){
content = mk_cSubPow(t,o.calcopof);
}
content = mk_unwrap(content);
if('apply'!=mk_nodeName(content)){
node = t.cML('apply', !!(t.o[o.calcopof].symbol.output||t.o[o.calcopof].text)?t.o[o.calcopof]:undefined);
mk_appendChild(node,content);
}else{
node = content;
}
mk_appendChild(t.o[p]._content,node);
}
}
if(!!o.symbol.eq&&undefined!=t._logic&&o.l<t._logic){
delete t._logic;
}
if(0<t.c._eq.length){
if('condition'==t.c._eq[0]){
if(o.symbol.eq){
delete o.symbol.eq;
o.symbol.setop = true;
}
}else if(!!o.symbol.logic){
if(undefined==t._logic){
t._logic=o.l;
i = -1;
content = mk_content(t, t.c.arg[0]).cloneNode(true);
while(t.c._eq.length>++i){
t.o[t.c.arg[0]].content = t.cML('apply', t.cML(!!t.c._eq[i].toPrecision? t.c.req[i] : t.c._eq[i]));
j = -1;
while(t.c.eq[t.c._eq[i]].length>++j){
mk_appendChild(t.o[t.c.arg[0]].content, t.c.eq[t.c._eq[i]][j]);
}
}
t.c._eq.splice(0);
mk_appendChild(t.o[t.c.arg[0]].content, content);
}
}
}else if(!!o.symbol.logic && undefined==t._logic){
t._logic=-o.l;
}
if(undefined!=t._logic && -1<t._logic && !!o.symbol.eq){
delete o.symbol.eq;
o.symbol.setop = true;
}
if((!!o.symbol.eq || !!o.symbol.cond) && (undefined==t._logic || 0>=t._logic)){
b = !!b? 2 : 1;
}else if(!!o.symbol.ipop){
if(-1<(j=t.c.arg.length-1)){
!!t.o[t.c.arg[j]].ipopop ? t.o[t.c.arg[j]].ipopop.push(o.symbol) :
t.o[t.c.arg[j]].ipopop = [o.symbol];
t.o[t.c.arg[j]].opipop = true;
}
}else if((!!o.symbol.arith || !!o.symbol.setop || !!o.symbol.logic || !!o.symbol.rel) && !o.symbol.iscalcop){
//current operation/previous operation
if('-'==o.symbol.output){
t.c.mem['-'] = !t.c.mem['-'];
o.symbol.ctag = 'plus';
o.symbol.output = '+';
o.symbol._wasneg = true;
}else if(-1<(j=t.c.arg.length-1) && t.o[t.c.arg[j]].opipop){
delete t.o[t.c.arg[j]].opipop;
}
if(!!t.c.crop){
t.c.prop = t.c.crop;
}
if(!t.c.crop || !t.c.rop || !t.c.rop[t.c.crop] || o.symbol.output!=t.c.rop[t.c.crop].symbol.output){
t.c.crop = !!o.symbol.pri ? o.symbol.output : p;
if(!o.symbol.arith && !!o.symbol.pri && t.c.prop!=t.c.crop){
for(j in t.c.mem){
if(t.c.mem[j]==t.c.rop[t.c.mem[j]].symbol.output){
t.c.adj = [t.c.mem[j],j];
t.fk.filter(t.cremap);
if(t.c.prop == t.c.adj[0]){
t.c.prop = t.c.adj[1];
}
delete t.c.adj;
}
}
}
if(!t.c.op[t.c.crop]){
t.c.rel[t.c.crop] = {};
t.c.op[t.c.crop] = [];
t.c.d[t.c.crop] = [t.c.crop,1];
if(!t.c.rop){
t.c.rop = {};
}
t.c.rop[t.c.crop] = t.o[p];
t.c.rop[t.c.crop].mem = p;
t.c.mem[p] = t.c.crop;
}
}
}else if(undefined==o.calcop && !o.isarg && !o.symbol.supressmath){
mk_cNeg(t,p,t.c.mem['-']);
if((!!o.content || !!o.mk) && !!o.neg){
if(!!o.mk){
o.content = o.mk;
}
mk_cMinus(t, p);
if(!!o.mk){
o.mk = o.content;
}
}
if(-1<(j=t.c.arg.length-1)&&!!t.o[t.c.arg[j]].opipop){
!!t.o[t.c.arg[j]].ipoparg ? t.o[t.c.arg[j]].ipoparg.push(p):t.o[t.c.arg[j]].ipoparg=[p];
}else if(!t.c.crop){
t.c.arg.push(p);
}else if(!t.c.prop || t.c.crop==t.c.prop){
Array.prototype.push.apply(t.c.op[t.c.crop], t.c.arg);
t.c.arg.splice(0);
t.c.arg.push(p);
}else if(!!t.c.prop){
if(t.c.rop[t.c.prop].symbol.pri || ('*'==t.c.rop[t.c.prop].symbol.output && '/'==t.c.rop[t.c.crop].symbol.output && -1!=(t.c.rop[t.c.crop].prop=t.c.prop) )){
r = !!t.c.rel[t.c.crop][t.c.prop] ? [t.c.crop,t.c.prop] : [t.c.prop,t.c.crop];
if(!t.c.rel[t.c.crop][t.c.prop]){
t.c.op[t.c.prop].push(t.c.op[t.c.crop]);
}
t.c.d[t.c.prop][1]+=t.c.d[t.c.crop][1];
Object.keys(t.c.rel[t.c.prop]).filter(t.c.f1);
t.c.rel[t.c.crop][t.c.prop] = !!t.c.rel[t.c.crop][t.c.prop] ? t.c.rel[t.c.crop][t.c.prop]+1 : 1;
Array.prototype.push.apply(t.c.op[t.c.crop], t.c.arg);
}else {
j=t.c.op[t.c.crop].length-1;
if(undefined!=t.c.rop[t.c.prop].prop){
if(-1<j && (t.c.op[t.c.crop][j]===t.c.op[t.c.rop[t.c.prop].prop][0] || t.c.op[t.c.crop][j]===t.c.op[t.c.rop[t.c.prop].prop])){
t.c.op[t.c.crop].pop();
if(1>--t.c.rel[t.c.rop[t.c.prop].prop][t.c.crop]){
delete t.c.rel[t.c.rop[t.c.prop].prop][t.c.crop];
}
}
for(k in t.c.rel[t.c.rop[t.c.prop].prop]){
if(t.c.crop!=k){
t.c.op[k][t.c.op[k].indexOf(t.c.op[t.c.rop[t.c.prop].prop])]=t.c.op[t.c.crop];
delete t.c.rel[t.c.rop[t.c.prop].prop][k];
}
}
Array.prototype.push.apply(t.c.op[t.c.prop], t.c.arg);
t.c.op[t.c.crop].push(t.c.op[t.c.rop[t.c.prop].prop]);
t.c.d[t.c.crop][1]+=t.c.d[t.c.rop[t.c.prop].prop][1];
Object.keys(t.c.rel[t.c.crop]).filter(t.c.f1);
t.c.rel[t.c.rop[t.c.prop].prop][t.c.crop] = !!t.c.rel[t.c.rop[t.c.prop].prop][t.c.crop] ? t.c.rel[t.c.rop[t.c.prop].prop][t.c.crop]+1 : 1;
delete t.c.rop[t.c.prop].prop;
}else{
if(-1<j && (t.c.op[t.c.crop][j]===t.c.op[t.c.prop][0] || t.c.op[t.c.crop][j]===t.c.op[t.c.prop])){
t.c.op[t.c.crop].pop();
if(1>--t.c.rel[t.c.prop][t.c.crop]){
delete t.c.rel[t.c.prop][t.c.crop];
}
}
for(k in t.c.rel[t.c.prop]){
if(t.c.crop!=k){
t.c.op[k][t.c.op[k].indexOf(t.c.op[t.c.prop])]=t.c.op[t.c.crop];
delete t.c.rel[t.c.prop][k];
}
}
Array.prototype.push.apply(t.c.op[t.c.prop], t.c.arg);
t.c.op[t.c.crop].push(t.c.op[t.c.prop]);
t.c.d[t.c.crop][1]+=t.c.d[t.c.prop][1];
Object.keys(t.c.rel[t.c.crop]).filter(t.c.f1);
t.c.rel[t.c.prop][t.c.crop] = !!t.c.rel[t.c.prop][t.c.crop] ? t.c.rel[t.c.prop][t.c.crop]+1 : 1;
}
}
t.c.arg.splice(0);
t.c.arg.push(p);
}else {
Array.prototype.push.apply(t.c.op[t.c.crop], t.c.arg);
t.c.arg.splice(0);
t.c.arg.push(p);
}
}
}
if(!!b && !!t.c.d){
if(!!t.c.crop && !!t.c.arg && 0<t.c.arg.length){
Array.prototype.push.apply(t.c.op[t.c.crop], t.c.arg);
t.c.arg.splice(0);
}
if(0<t.c.arg.length){
mk_cResolveDiff(t,t.c.arg);
}else{
for(i in t.c.op){
mk_cResolveDiff(t,t.c.op[i], i);
}
}
if(1==mkDebug){
console.log(JSON.stringify(t.c));
}
t.c.d = Object.keys(t.c.d).map(t.c.m1);
t.c.d.sort(dcompare);
i = t.c.d.length;
r = null;
while(-1<--i){ //in order of depth
k = t.c.d[i][0];
r = t.c.rop[k];
r.content = t.cML('apply',r);
if(!!r.diff && !r.symbol.arith){
j = 0;
while(r.diff[1].length>++j){
mk_appendChild(r.content, t.o[r.diff[1][j]].content.cloneNode(true));
}
j = 0;
while(r.diff[0].length>++j){
t.o[r.diff[0][j]].content = t.o[r.diff[0][j]]._content.cloneNode(true);
if('ci'==mk_nodeName(t.o[r.diff[0][j]].content.firstChild) && !t.o[r.diff[0][j]].content.firstChild.getAttribute('type')){
t.o[r.diff[0][j]].content.firstChild.setAttribute('type', 'function');
}
mk_appendChild(r.content, t.o[r.diff[0][j]].content.cloneNode(true));
}
mk_cMinus(t, k);
}
j = -1;
while(t.c.op[k].length>++j){
if(!!t.c.op[k][j].toPrecision){
mk_appendChild(r.content, mk_content(t,t.c.op[k][j], true));
delete t.o[t.c.op[k][j]].content;
}else{
if(!!t.c.op[k][j][0].cloneNode){
mk_appendChild(r.content, t.c.op[k][j][0].cloneNode(true));
}
delete t.c.op[t.c.op[k][j][1]];
}
}
t.c.op[k].splice(0);
t.c.op[k].push(r.content.cloneNode(true), k);
}
node = t.cML();
if(0<(j=t.c.arg.length)){
t.c.arg.sort(acompare);
while(-1<--j){
mk_appendChild(node, mk_content(t, t.c.arg[j], true));
}
}else{
for(i in t.c.op){
mk_appendChild(node, t.c.op[i][0]);
}
}
if((0==t.c._eq.length || 'condition'!=t.c._eq[0]) && (k = (!!o.symbol.eq||!!o.symbol.cond) ? o.symbol.ctag : ( 0<t.c._eq.length ? t.c._eq[t.c._eq.length-1] : false) )){
content = mk_unwrap(node);
if(!!o.symbol.cond){
t.c.eq[k] = [];
r = t.cML();
j=-1;
while(t.c.arg.length>++j){
mk_appendChild(r, t.cML('bvar', t.cML(t.c.arg[j])));
}
r = mk_appendChild(t.cML('apply', r), t.cML('condition'));
r.insertAdjacentElement('beforeend',content.cloneNode(true));
t.cc();
t.c._eq = [k];
t.c.eq[k] = [r];
}else{
if(!!t.c.eq[k]){
if(k != t.c._eq[t.c._eq.length-1]){
t.c._eq[t.c._eq.indexOf(k)] = p;
t.c.req[p]=k;
t.c._eq.push(k);
t.c.eq[p] = t.c.eq[k].map(mk_acopy);
t.c.eq[k] = [t.c.eq[p][t.c.eq[p].length-1]];
}
}else {
t.c.eq[k] = [];
if(t.c._eq.length>0){
t.c.eq[ t.c._eq[t.c._eq.length-1] ].push(content.cloneNode(true));
}
t.c._eq.push(k);
}
t.c.eq[k].push(content);
}
node = t.cML();
if((!o.symbol.eq && !o.symbol.cond) || 2==b){
i = -1;
b = null;
while(t.c._eq.length>++i){
content = t.cML('apply', t.cML(!!t.c._eq[i].toPrecision? t.c.req[i] : t.c._eq[i]));
if(!t.c.eq[t.c._eq[i]]){
k=i+1;
t.c.eq[t.c._eq[i]]=[];
while(t.c._eq.length>k){
if(!t.c.eq[t.c._eq[k]]){
break;
}
if(0<(j=t.c.eq[t.c._eq[k]].length)){
r = t.c.eq[t.c._eq[k]][!!(b = !b) ? j-1 : 0];
if(r.children.length){
r.removeChild(!b?r.children[0]:r.children[r.children.length-1]);
}
}
r = t.cML('apply', t.cML(!!t.c._eq[k].toPrecision? t.c.req[k] : t.c._eq[k]));
j = -1;
while(t.c.eq[t.c._eq[k]].length>++j){
mk_appendChild(r, t.c.eq[t.c._eq[k]][j]);
}
t.c.eq[t.c._eq[i]].push(r);
t.c._eq.splice(k,1);
}
}
j = -1;
while(t.c.eq[t.c._eq[i]].length>++j){
mk_appendChild(content, t.c.eq[t.c._eq[i]][j]);
}
mk_appendChild(node, content);
}
}
t.cc(false);
}
if((!o.symbol.eq&& !o.symbol.cond) || 2==b){
if(!!node){
if(0<t.c._eq.length && 'condition'==t.c._eq[0] && !!t.c.eq['condition'] && !!t.c.eq['condition'][0] && !!(content = t.c.eq['condition'][0].querySelector('condition'))){
mk_appendChild(content, node);
node = t.c.eq['condition'][0];
}
b = false;
if((!node || ('declare'==mk_nodeName(node) && 1>node.children.length)) && !!o.c && 0<o.c.length){
i=o.c.length;
j = o.l+1;
while(-1<--i){
if(!!(k=t.o[o.c[i]].mk) && j==t.o[o.c[i]].l && ('declare'!=mk_nodeName(k) || 0<k.children.length)){
b = true;
t.o[p]._p = true;
node =o.content= k.cloneNode(true);
break;
}
}
k = null;
}else{
node = mk_unwrap(node);
}
k = (!b && o.isarg && undefined!=o.p && !!t.o[o.p].args && 1==t.o[o.p].args.length) ? o.p : p;
t.o[k].mk = node;
// t.o[k]._p = true;
if(!b && undefined!=t.o[k].p && (!t.o[t.o[k].p]._p || !t.o[t.o[k].p].content || ('declare'==mk_nodeName(t.o[t.o[k].p].content) && 1>t.o[t.o[k].p].content.children.length))){
t.o[t.o[k].p].content = node;
t.o[t.o[k].p]._p = true;
}
}
t.cc();
}
}
};
})();
var mk_addClass = function(o,c=''){
if(!!o){
mk_removeClass(o,c);
o.className = (o.className+' '+c).trim();
}
};
var mk_removeClass = function(o,c=''){
if(!!o){
o.className = o.className.split(/\s/u).filter(function(k){return !!k&&k!==c; }).join(' ');
}
};
var mk_pSpace = function(t,i,j=0){
var pres = t.pML();
if(0<i){
mk_appendChild(pres, t.pML('mspace'));
pres.lastChild.setAttribute('width',i+'ex');
if(j){
pres.lastChild.setAttribute('class','__mklinebreak');
pres.lastChild.setAttribute('linebreak','newline');
pres.lastChild.setAttribute('height', j+'px');
}
}
return pres;
};
var mk_pRemoveBrackets = function(t,k){
var i = -1, j = -1;
if(PHANTOM==t.o[k].symbol.type && !!t.o[k].c && undefined!=(i=t.o[k].c[0]) && RIGHTBRACKET==t.o[i].symbol.type && undefined!=(j=t.o[k].c[t.o[k].c.length-1]) && LEFTBRACKET==t.o[j].symbol.type){
if(!!t.o[i].sp && (!!t.o[i].sp[0] || !!t.o[i].sp[1])){
t.o[i].symbol = mk_cloneSymbol(mkSymbolNone);
t.o[i].text = '';
t.o[i].xbracket = true;
t.o[i].presentation = mk_pSpace(t,t.o[i].sp[0]+t.o[i].sp[1],t.o[i].sp[2]+t.o[i].sp[3]);
}else{
t.x[i]=true;
}
if(!!t.o[j].sp && (!!t.o[j].sp[0]||!!t.o[j].sp[1])){
t.o[j].symbol = mk_cloneSymbol(mkSymbolNone);
t.o[j].text = '';
t.o[i].xbracket = true;
t.o[j].presentation = mk_pSpace(t,t.o[j].sp[0]+t.o[j].sp[1],t.o[j].sp[2]+t.o[j].sp[3]);
}else{
t.x[j]=true;
}
//initially spacing was the same, test if this is backwards.
if(!!t.o[k].presentation){
var node = null;
if(!t.o[k].presentation.lastChild){
!!t.o[j].presentation && t.o[k].presentation.appendChild(t.o[j].presentation);
!!t.o[i].presentation && t.o[k].presentation.appendChild(t.o[i].presentation);
}else{
node=t.o[k].presentation.firstChild;
while(!!node && node.textContent!='(' && !!(node=node.nextElementSibling));
if(!!node){(t.o[j].symbol.type==SPACE && !!t.o[j].presentation) ? t.o[k].presentation.replaceChild(node, t.o[j].presentation) : t.o[k].presentation.removeChild(node);}
node=t.o[k].presentation.lastChild;
while(!!node && node.textContent!=')' && !!(node=node.previousElementSibling));
if(!!node){(t.o[i].symbol.type==SPACE && !!t.o[i].presentation) ? t.o[k].presentation.replaceChild(node, t.o[i].presentation) : t.o[k].presentation.removeChild(node);}
}
}
}
};
var mk_pMrow = function(n,force=false){
return (!!n && (force||1<n.children.length) && 'mrow'!=mk_nodeName(n))?n=mk_createElementMML('mrow', n):n;
};
var mk_pSubPow = function(t,p,node,pre=''){
var i, k, o=t.o[p], v = -1, pow=pre+'power', sub=pre+'subscript';
i = t.o[p][sub];
k = t.o[p][pow];
v = ((undefined!=i && undefined!=t.o[i][pow]) ? t.o[i][pow] : (undefined!=k ? k : -1));
if(undefined!=i){
node = t.pML((!pre&&(UNDEROVER==o.symbol.type||!!o.symbol.integral) ? (-1!=v ?'munderover':'munder') : (-1!=v ? 'msubsup' : 'msub')), mk_pMrow(node));
node = mk_appendChild(node, mk_present(t,i));
delete t.o[p][sub];
undefined!=t.o[i][pow] ? (t.x[t.o[i][pow]] = true) : (v = k);
if(undefined!=k){
t.x[k] = true;
}
}
if(-1<v && !o['is'+sub]){ //.issubscript sloppy
if(i==undefined){
node = t.pML(!pre&&(UNDEROVER==o.symbol.type||!!o.symbol.integral) ? 'munder':'msup', mk_pMrow(node));
}
node = mk_appendChild(node, mk_present(t,v));
if(!!o.order && !!o.text){
node = mk_appendChild(t.pML('mrow', node), t.pML('mi', o.text));
}
delete t.o[v][pow];
delete t.o[p][pow];
}
return node;
};
var mk_present = function(t,p){
return !!t.o[p].presentation ? t.o[p].presentation : mk_presentation(t,p);
};
var mk_pChildren = function(t,p){
var c=null, i = 0, j=-1, k='', o=null, pres=t.pML(), ptag='mrow', vs=false;
o = t.o[p];
if(!!o._c){
return o.presentation;
}
c = !!o[k='args']?o.args:(!!o[k='arg']?[o.args]:(!!o[k='c']?o.c:[]));
j = c.length;
vs = !!o.vector || !!o.set;
if(!!o.matrixrow || !!o.crow){
ptag = 'mtr';
}else if(!!o.matrixcol){
ptag = 'mtd';
}else if(!!o.matrix || !!o.piecewise || !!vs){
pres = t.pML(!!vs ?'mfenced':'mtable');
if(!!o.set){
pres.setAttribute('open','{');
pres.setAttribute('close','}');
}else if(!!o.matrix){
ptag = 'mfenced';
}
if((!o.set||1===o.set)&&(!o.vector || 1===o.vector)){
pres.setAttribute('separators','');
}else if(undefined!=o.symbol.separators && (!vs || undefined==o.symbol.sov)){
pres.setAttribute('separators',o.symbol.separators);
}
}
while(-1<--j){
i = c[j];
if(!o._c && !t.x[i] && !!t.o[i] && !!t.o[i].presentation){
t.o[i]._c = true;
mk_appendChild(pres, t.o[i].presentation);
}
}
if(!!o.crow){
pres = t.pML('mtd', pres);
}
if(!o.suppresstag && undefined==o.arg){
pres = 'mrow'==ptag ? mk_pMrow(pres) : t.pML(ptag, pres);
}
if(!!o.matrix){
pres.setAttribute('open','[');
pres.setAttribute('close',']');
}
return pres;
};
var mk_presentation = function(t, p){
var h='', i=-1, j=-1, k=-1, node=null, o=t.o[p], pres=null, txt=null;
if(!!o.text && Array.isArray(o.text)){
if(0<(k = o.text.length)){
h=o.text[0].text;
txt = t.pML(o.text[0].ptag,'-'==h.charAt(0)?h.replace('-',''): h);
if(1<k){
j = 0;
txt = t.pML('mrow', txt);
while(k>++j){
h+=o.text[j].text;
mk_appendChild(txt, t.pML(o.text[j].ptag,o.text[j].text));
}
}
}
delete t.o[p].text;
}
k = o.symbol.type;
if(!!o.append && !!o.prepend){
mk_pRemoveBrackets(t, p)
}
if(RIGHTBRACKET==k || LEFTBRACKET==k || LEFTRIGHT==k){
if (!o.symbol.invisible){
node = t.pML('mo', o.symbol.output);
}
}else if(PHANTOM==k){
} else if(!!o.symbol.acc){
node = t.pML(o.symbol.ptag);
if(!!o.args){
pres = t.pML();
i=-1;
j = o.args.length;
while(j>++i){
mk_appendChild(pres, mk_present(t,o.args[i]));
t.x[o.args[i]]=true;
}
mk_appendChild(node, pres);
}else{
mk_appendChild(node, !!txt?txt:t.pML('mi',o.text));
}
if(!!o.symbol.acc){
mk_appendChild(node, t.pML('mo',o.symbol.output));
}
txt = null;
delete t.o[p].text;
} else if(!!o.args && DIFFERENTIAL!=k){
node = o.symbol.ptag==o.symbol.output?t.pML(o.symbol.ptag) : (!!o.symbol.output ? t.pML(o.symbol.ptag,o.symbol.output) : t.pML());
} else if(SPACE==k){
node = mk_pSpace(t,1);
txt = null;
delete t.o[p].text;
} else if(TEXT==k){
if(!txt){
node = t.pML(o.symbol.ptag,o.text.trim());
delete t.o[p].text;
}
} else if(DIFFERENTIAL==k){
i = -1; j = -1;
node = t.pML('mo', o.symbol.output);
if(undefined!=o.order){
if(undefined!=o.subscript){
i = o.subscript;
delete t.o[p].subscript;
}
if(undefined!=o.power){
j = o.power;
}
o.power = o.order;
node = t.pML('mrow', mk_pSubPow(t, p, node));
delete t.o[p].power;
if(i>-1){
o.subscript = i;
}
if(j>-1){
o.power = j;
}
}
node = t.pML('mrow',node);
if(undefined!=o.calcopof){
t.x[o.calcopof]=true;
mk_appendChild(node, mk_present(t, o.calcopof));
if(undefined!=t.o[o.calcopof].order && undefined!=t.o[o.calcopof].power){
delete t.o[o.calcopof].power;
}
}
} else if(VAR==k || CONST==k || SHAPE==k || !!o.symbol.output){
node = t.pML(o.symbol.ptag, o.symbol.output);
if(!!o.symbol.shape){
node.setAttribute('class','__mk'+o.symbol.shape);
mk_addClass(node,'__mkID'+p);
}
}
if(!!txt){
node = !node ? txt : mk_appendChild(node, txt);
txt = null;
}
if(UNDEROVER==o.symbol.type||!!o.symbol.integral||!!o.args){
node = mk_pMrow(mk_pSubPow(t,p,node));
}
if(!!h && '-'==h.charAt(0)){
node = mk_pMrow(node);
node.insertAdjacentElement('afterbegin',t.pML('mi','-'));
}
if(!!o.c && 0<o.c.length && !o.args && (!o.isarg || (undefined!=o.p && 2>t.o[o.p].args.length))){
pres = mk_pChildren(t,p);
(!!node && (0<node.children.length||mk_nodeName(node)!=mk_nodeName(pres))) ? mk_appendChild(node,pres) : node=pres;
if(!!o.piecewise && !!node.firstChild){
node.firstChild.setAttribute('columnalign','left');
node.insertAdjacentElement('afterbegin',t.pML('mo','{'));
}
}
t.o[p].presentation = node;
if(!!o.origin && !!(j=mkOrigin[o.origin])){
h = mk_getExt(j);
k = 'MathML-Presentation';
pres = !!h.originalid ? h.originalid.cloneNode(true) : t.o[p].presentation;
pres.setAttribute('mathvariant','italic');
mk_setStyle(pres, 'font-style:italic');
txt = null;
if(!h){
txt = t.pML('mtext', j);
}else if(undefined==h.data ||'error'==h.data){
txt = t.pML('mtext', j+': '+h.data.toString());
}else if('image'==h.type.substring(0,5)){
k = 'text/html';
txt = t.pML('img');
txt.setAttribute('src', h.data);
txt.setAttribute('alt', h.ref);
txt.setAttribute('title', j.replace(mk_trimUrl(j),'').trim());
txt.insertAdjacentElement('afterend',t.pML('div', t.o[p].presentation.textContent));
pres = mk_appendChild(t.pML('mphantom'),t.o[p].presentation.cloneNode(true));
}else if('math'==h.type){
txt = mk_replaceML(t,h.data);
}else if('function'==h.type){
if(!!h.ref && h.ref!=j){
!!h.original? txt = h.original.cloneNode(true) : ((txt=t.pML('mrow')),(txt.className='__mkDeferOriginal __mkDeferID'+p));
}else{
txt = t.pML('mtext',j);
}
}else{
txt = t.pML('mtext', j);
}
if(!!txt.textContent.trim()){
pres.setAttribute('title',txt.textContent);
}
pres = mk_appendChild(t.pML('semantics'), pres);
txt = mk_appendChild(t.pML('annotation-xml'), txt);
txt.setAttribute('encoding', k);
t.o[p].presentation = mk_appendChild(pres, txt);
}
// t.o[p].presentation = o.presentation = (UNDEROVER==o.symbol.type||!!o.symbol.integral) ? node.cloneNode(true) : mk_pSubPow(t,p,node);
if(!!o.args && !o.symbol.acc){
if(o.symbol.ptag!=o.symbol.output){
o.presentation = mk_pMrow(t.o[p].presentation, true);
}
node = null;
if(!!o.symbol.separators){
node = t.pML('mfenced');
node.setAttribute('separators',o.symbol.separators);
node.setAttribute('open','');
node.setAttribute('close','');
}else{
node = t.pML();
}
if(!o._c){
if(undefined!=(k=o.arg) || (1==o.args.length && PHANTOM==t.o[k=o.args[0]].symbol.type)){
if(undefined==o.power && undefined!=t.o[k].power){
o.power = t.o[k].power;
delete t.o[k].power;
}
if(undefined!=t.o[k].suffixop){
undefined==o.suffixop ? o.suffixop=t.o[k].suffixop : Array.prototype.push.apply(o.suffixop,t.o[k].suffixop);
delete t.o[k].suffixop;
}
if(undefined!=t.o[k].append){
undefined==o.append ? o.suffixop=t.o[k].append : Array.prototype.push.apply(o.append,t.o[k].append);
delete t.o[k].append;
}
if(o.symbol.ptag==o.symbol.output){
// mk_pRemoveBrackets(t,k);
}
t.x[k]=true;
if(undefined!=o.arg && !!o.symbol.functional){
j=-1;
node = mk_appendChild(node, mk_presentation(t, o.arg));
}
}
i = -1;
j = o.args.length;
while(j>++i){
// if(!!t.o[ o.args[i]]._c)
// continue;
pres = mk_pMrow(mk_present(t, o.args[i]));
//node = mk_pMrow(o.symbol.ptag!=o.symbol.output ? mk_present(t, o.args[i]) : mk_pChildren(t, o.args[i]), true);
node = mk_appendChild(node, pres.cloneNode(true));
t.x[o.args[i]]=true;
}
t.o[p].presentation = mk_appendChild(t.o[p].presentation, node);
if(o.symbol.ptag==o.symbol.output && (undefined!=o.subscript || undefined!=o.power)){
// t.o[p].presentation = o.presentation = mk_pSubPow(t,p,t.o[p].presentation.cloneNode(true));
}
}
}
if(!o.presentation){
t.o[p].presentation = o.presentation = t.pML('mrow');
}
if(!!o.text && '-'==o.text && (!!o.c || !!o.args)){
t.o[p].presentation = mk_appendChild(mk_appendChild(t.pML('mrow'), t.pML('mi','-')),t.o[p].presentation);
}
if(!!o.append && 0<(j=o.append.length)){
// node = mk_pResuffix(t,p);
o.presentation = mk_pMrow(t.o[p].presentation, true);
i=-1;
while(j>++i){
// !!node ? node.insertAdjacentElement('afterend', t.pML(o.append[j].ptag, o.append[j].output)):
mk_appendChild(t.o[p].presentation, t.pML(o.append[i].ptag, o.append[i].output));
}
}
if(!!o.prepend && 0<(j=o.prepend.length)){
o.presentation = mk_pMrow(t.o[p].presentation, true);
i = -1;
while(j>++i){
t.o[p].presentation.insertAdjacentElement('afterbegin',t.pML(o.prepend[i].ptag, o.prepend[i].output));
}
}
if(!!o.ofprefixop && !t.x[p]){
o.presentation = mk_pMrow(t.o[p].presentation, true);
t.o[p].presentation.insertAdjacentElement('afterbegin',t.pML(o.ofprefixop.ptag, o.ofprefixop.output));
t.x[o.suffixof] = true;
if(undefined!=o.suffixof){
t.o[p].presentation.insertAdjacentElement('afterbegin',mk_presentation(t, o.suffixof));
}
}
if(!!o.ofsuffixop && !t.x[p]){
t.x[o.prefixof] = true;
if('mlongdiv'==o.ofsuffixop.ptag){
node = mk_appendChild(t.pML('mtable'), t.pML('mtr'));
node.setAttribute('class','__mk'+o.ofsuffixop.ptag);
mk_appendChild(node.children[0], t.pML('mtd'));
mk_appendChild(node.children[0], t.pML('mtd'));
mk_appendChild(node.children[0], t.pML('mtd'));
mk_appendChild(node.children[0].children[0], t.o[p].presentation);
mk_appendChild(node.children[0].children[1], mk_presentation(t, o.prefixof));
node.children[0].children[0].setAttribute('columnalign','right');
node.children[0].children[1].setAttribute('columnalign','left');
t.o[p].presentation = mk_pMrow(node, true);
node = node.children[0].children[1];
node.setAttribute('style','border-top:1px solid #000;border-left:1px solid #000;');
//t.o[p].presentation.setAttribute('style', 'margin-top:-'+mkLineHeight+'px');
}else{
o.presentation = mk_pMrow(t.o[p].presentation, true);
mk_appendChild(t.o[p].presentation, t.pML(o.ofsuffixop.ptag, o.ofsuffixop.output));
mk_appendChild(t.o[p].presentation, mk_presentation(t, o.prefixof));
}
}
t.o[p].presentation = mk_pSubPow(t,p,mk_pSubPow(t,p,t.o[p].presentation),'em');
if(1==mkDebug){
console.log((t.o[p].p!=undefined?t.o[p].p:-1)+':'+p+'('+t.o[p].l+') '+t.o[p].presentation.outerHTML);
}
if('stackrel'==o.symbol.input && !!o.stackname){
txt = null;
node = null;
pres = null;
h = mk_getExt(o.stackname);
if(undefined!=o.stackref){
delete t.o[o.stackref].presentation;
delete t.o[o.stackref]._c;
}else if(undefined!=o.arg){
delete t.o[o.arg].presentation;
delete t.o[o.arg]._c;
}
if(undefined!=o.stackrel && (!t.o[o.stackrel].presentation || ('declare'==mk_nodeName(t.o[o.stackrel].presentation) && 1>t.o[o.stackrel].presentation.children.length)) && !!t.o[o.stackrel].c && 1==t.o[o.stackrel].c.length && undefined!=(j=t.o[o.stackrel].c[0]) && !!t.o[j].presentation){
t.o[o.stackrel].presentation = t.o[j].presentation.cloneNode(true);
t.x[o.stackrel] = true;
}
k = 'MathML-Presentation';
if(undefined===o.stackref && undefined===o.arg){
pres = t.pML();
txt = t.pML('mtext', o.stackname);
}else if(!h || undefined==h.data || 'error'==h.data){
pres = undefined!==o.stackref ? mk_present(t, o.stackref).cloneNode(true) : mk_present(t, o.arg).cloneNode(true);
txt = t.pML('mtext', o.stackname+': '+h.ref.toString());
}else if('image'==o.stype.substring(0,5)){
k = 'text/html';
node = t.pML('img');
node.setAttribute('src', h.data);
node.setAttribute('alt', h.ref);
node.setAttribute('title', o.stackname.replace(mk_trimUrl(o.stackname),'').trim());
if(undefined!==o.stackref){
pres = mk_appendChild(t.pML('mphantom'),mk_present(t, o.stackref));
txt = node;
}else{
pres = t.pML('mphantom');
txt = node;
}
pres = mk_pMrow(pres,1);
}else if('math'==o.stype){
node = mk_replaceML(t,h.data);
if(undefined!==o.stackref){
//should look different and have a title
pres = mk_present(t, o.stackref).cloneNode(true);
txt = node.cloneNode(true);
}else{
pres = node;
txt = t.pML('mtext',h.ref);
}
}else if('function'==o.stype){
//mk_setExt(o.stackname,null,{original:mk_present(t, o.stackrel || o.arg).cloneNode(true)});
if(undefined!==o.stackref){
pres = mk_present(t, o.stackref).cloneNode(true);
txt = mk_present(t, o.stackrel).cloneNode(true);
mk_setExt(o.stackname,null,{original:txt.cloneNode(true),originalid:pres.cloneNode(true)});
}else{
txt = t.pML();
pres = mk_present(t, o.arg).cloneNode(true);
mk_setExt(o.stackname,null,{original:pres.cloneNode(true),originalid:txt.cloneNode(true)});
}
}else{
if(undefined!==o.stackref){
pres = mk_present(t, o.stackref).cloneNode(true);
txt = t.pML('mtext', o.stackname);
mk_setExt(o.stackname,null,{originalid:pres.cloneNode(true),original:txt.cloneNode(true)});
}else{
txt = t.pML();
pres = t.pML('mtext', o.stackname);
mk_setExt(o.stackname,null,{original:pres.cloneNode(true)});
}
}
pres.setAttribute('mathvariant','italic');
mk_setStyle(pres, 'font-style:italic');
if(!!txt.textContent.trim()){
pres.setAttribute('title',txt.textContent);
}
pres = mk_appendChild(t.pML('semantics'), pres);
txt = mk_appendChild(t.pML('annotation-xml'), txt);
txt.setAttribute('encoding', k);
t.o[p].presentation = mk_appendChild(pres, txt);
if(undefined!==o.stackref){
t.x[o.stackref] = true;
t.x[o.stackrel] = true;
}
}
if(undefined!=t.o[p].attr){
o = t.o[t.o[p].attr];
t.o[p].presentation = mk_appendChild(t.pML('mstyle'), t.o[p].presentation);
for(k in o.symbol.attr){
t.o[p].presentation.setAttribute(k, o.symbol.attr[k]);
}
mk_addClass(t.o[p].presentation,'__mkID'+p);
}
o = t.o[p];
if(!!o.sp && (!!o.sp[0] || !!o.sp[1])){
t.o[p].presentation = mk_pMrow(o.presentation, true);
if(!!o.sp[0]){
t.o[p].presentation.insertAdjacentElement('afterbegin',mk_pSpace(t,o.sp[0],o.sp[2]));
}
if(!!o.sp[1]){
t.o[p].presentation.insertAdjacentElement('beforeend',mk_pSpace(t,o.sp[0],o.sp[2]));
}
}
return mk_unwrap(t.o[p].presentation).cloneNode(true);
};
mk.checkR = function(str, pos=-1){
var cref={}, i=-1, k, o=null;
if(-1<pos){
cref = Object.assign(mkCref[0], mkCref[1]);
for(k in cref){
while(-1<(i=str.indexOf(k)) && i<(pos-k.length)){
str = str.substr(0,i)+cref[k]+str.substr(i+k.length);
pos = pos - k.length + cref[k].length;
}
}
}
o = mk.parseR(str.slice(0,pos), 0);
if(!!o.found && (o.symbol.input!=o.symbol.output || 1<o.symbol.output.length || ('a'<=o.symbol.output && o.symbol.output<='z'))){
return o.pos;
}
return false;
};
var mk_reSpace = function(t,p){
var k=p, o=t.o[p], m=t.o.length;
if(!o.sp){return;}
if(0<o.sp[0]||0<o.sp[2]){
while(m>++k && !t.o[k].sp);
if(m>k){
t.o[k].sp[1] += o.sp[0];
t.o[k].sp[3] += o.sp[2];
o.sp[0] = 0;
o.sp[2] = 0;
}
}
if(0<o.sp[1]||0<o.sp[3]){
k = p;
while(-1<--k && !t.o[k].sp);
if(-1<k){
t.o[k].sp[0] += o.sp[1];
t.o[k].sp[2] += o.sp[3];
o.sp[1] = 0;
o.sp[3] = 0;
}
}
};
mk.reParen = function(str){ //naive reparenthesization
var c='', len=0, rparen={};
for(c in mkParen[0]){
rparen[c] = [];
rparen[mkParen[0][c]] = [];
}
str=mk_escRef(str);
len = str.length;
while(-1<--len){
c = str.charAt(len);
if(!!mkParen[1][c]){
rparen[c].unshift(len);
}else if(!!mkParen[0][c]){
rparen[mkParen[0][c]].shift();
}
}
for(c in rparen){
len = -1;
while(rparen[c].length>0){
len = rparen[c].pop();
str = str.substr(0,len)+mkParen[1][c]+str.substr(len);
}
if(len>-1){
rparen[c] = -1;
}
}
len = -1;
while(str.length>++len){
c = str.charAt(len);
if(!!mkParen[0][c]){
rparen[c].push(len);
}else if(!!mkParen[1][c]){
rparen[mkParen[1][c]].pop();
rparen[c] = len;
}
}
for(c in rparen){
if(Array.isArray(rparen[c])){
while(rparen[c].length>0){
len = rparen[c].pop();
str = (-1!=rparen[mkParen[0][c]] && len>=rparen[mkParen[0][c]]) ? str.replace(/([\]\}\)]+)$/ug,mkParen[0][c]+'$1') : str.substr(0,len+1)+mkParen[0][c]+str.substr(len+1);
}
}
}
return str;//.replace(/^\(\)/ugm,'');
};
var mk_aCloseParen = function(str, c, pos){
var j = 1, k = pos, s = '';
if('|'==c){
while((k = str.lastIndexOf(c,--k))!=-1 && (j=j?0:1) && k>0 );
return !j;
}
if('/'==c){
j=1;
while((k = str.lastIndexOf(c,--k))!=-1 && (((s=str.charAt(k+1)) && '('!=s && '['!=s && '{'!=s && '|'!=s && ('-'!=s || (s=str.charAt(pos+2)) || (s=str.charAt(k+1))) && (('a'>s||s>'z') && ('A'>s||s>'Z') && ('0'>s||s>'9'))) ? ++j : true) && 0<k );
k = pos;
while((k = str.lastIndexOf('\\',--k))!=-1 && (--j) && 0<k );
return !j;
}
return false;
};
var mk_adjLevel = function(t,c,a=[],d=[],r={}){
var i = -1, j = -1, k, v;
var fadjLevel = function(l){
j = ++l;
--l;
v = r[k][l];
if(-1!=c.indexOf(v)){
r[k][l]=-1;
if(undefined!==r[k][j] && v>r[k][j]){
r[k][j] = v;
}
}
};
if(1>(i = c.length)){
return;
}
for(k in r){
Object.keys(r[k]).filter(fadjLevel);
}
k = (0<i && undefined!==t.o[c[0]].p && undefined!==t.o[t.o[c[0]].p].l) ? t.o[t.o[c[0]].p].l : t.o[c[0]].l;
++k
while(-1<--i){
if(-1!=(j = d.indexOf(c[i]))){
d[j++]=-1;
if(undefined==d[j] || d[j]<c[i]){
d[j] = c[i];
}
}
if(-1!=(j = a.indexOf(c[i]))){
a[j++]=-1;
if(undefined==a[j] || a[j]<c[i]){
a[j] = c[i];
}
}
t.o[c[i]].l = k;
if(!!t.o[c[i]].c){
mk_adjLevel(t, t.o[c[i]].c, a, d, r);
}
}
};
//this should rarely happen (...creating phantom for fn->subscript->power->args)
var mk_adjBreadth = (function(){
var ops = ['subscript', 'power','op','intop','calcop','calcopof','prefixof',
'suffixof','stackop','stackrel','stackref','powerof','subscriptof','empowerof','emsubscriptof','empower','emsubscript','attr'];
return function(t,p,c,e,r,a){
var i = c.length, j = 0, k = 0, o=null;
while(-1<--i){
j = c[i].length;
while(-1<--j){
if(p<=c[i][j]){
++c[i][j];
}
}
}
i = a.length;
while(-1<--i){
j = a[i].length;
while(-1<--j){
if(p<=a[i][j]){
++a[i][j];
}
}
}
for(i in r){
j = r[i].length;
while(-1<--j){
if(p<=r[i][j]){
++r[i][j];
}
}
}
i = t.o.length;
while(-1<--i){
if(!!t.x[i] && i>=p){
delete t.x[i];
t.x[i+1]=true;
}
j = ops.length;
while(-1<--j){
k=ops[j];
if(undefined!=t.o[i][k] && p<=t.o[i][k]){
++t.o[i][k];
}
}
if(!!t.o[i].c){
j = t.o[i].c.length;
while(-1<--j){
if(p<=t.o[i].c[j]){
++t.o[i].c[j];
}
}
}
if(undefined!=t.o[i].arg && p<=t.o[i].arg){
++t.o[i].arg;
}
if(!!t.o[i].args){
j = t.o[i].args.length;
while(-1<--j){
if(p<=t.o[i].args[j]){
++t.o[i].args[j];
}
}
}
}
e._br={};
for(i in e.br){
i = parseInt(i,10);
if(p<=e.br[i]){
++e.br[i];
}
if(p<=i){
undefined!=e.br[i+1] ? e._br[i+1]=e.br[i] : ((e.br[i+1] = e.br[i]),delete e.br[i]);
}
}
for(i in e._br){
i = parseInt(i,10);
e.br[i]=e._br[i];
}
e._sp={};
for(i in e.sp){
i = parseInt(i,10);
if(p<=e.sp[i]){
++e.sp[i];
}
if(p<=i){
undefined!=e.sp[i+1] ? e._sp[i+1]=e.sp[i] : ((e.sp[i+1] = e.sp[i]),delete e.sp[i]);
}
}
for(i in e._sp){
i = parseInt(i,10);
e.sp[i]=e._sp[i];
}
for(i in e.l){
i = parseInt(i,10);
if(p<=i){
++e.l[i];
}
}
for(j in e.i){
j = parseInt(j,10);
i = p<=e.i[j] ? e.i[j]+1 : e.i[j];
k = p<=j ? j+1 : j;
if(i!=e.i[j]){
e.f[i] = k;
e.i[k] = i;
delete e.f[e.i[j]];
}
if(k!=j){
e.i[k] = i;
e.f[i] = k;
delete e.i[j];
}
}
};
})();
var mk_b64d = (function(){
var b64 = { A:0, Q:16, g:32, w:48, B:1, R:17, h:33, x:49, C:2, S:18, i:34, y:50, D:3, T:19, j:35, z:51, E:4, U:20, k:36, 0:52, F:5, V:21, l:37, 1:53, G:6, W:22, m:38, 2:54, H:7, X:23, n:39, 3:55, I:8, Y:24, o:40, 4:56, J:9, Z:25, p:41, 5:57, K:10, a:26, q:42, 6:58, L:11, b:27, r:43, 7:59, M:12, c:28, s:44, 8:60, N:13, d:29, t:45, 9:61, O:14, e:30, u:46, '+':62, P:15, f:31, v:47, '/':63 }, b0=[0, 48, 60, 63], b1 = [63, 15, 3, 0], b2=[2, 4, 6, 0], b3=[0, 4, 2, 0];
return function(b=''){
var i = b.indexOf(','), j = -1, f = b.length, r0, r1, a =[];
while(f>++i){
undefined!=(r1 = b64[b.charAt(i)]) ? (((0 == ++j) && ((r0 = (r1 & b1[j])<<b2[j]),1))
|| (3==j && (a.push(parseInt(r0 | (r1 & b0[j]),10)),(j=-1)) ) || (a.push(parseInt(r0 | ((r1 & b0[j])>>b3[j]),10)),(r0 = (r1 & b1[j]) << b2[j])) ) : ('='==b.charAt(i)&&(i=f));
}
return a;
};
})();
var mk_b64e = function(b=''){
return window.btoa(encodeURIComponent(b).replace(/%([0-9A-F]{2})/g, function(m, p){return String.fromCharCode('0x' + p);}));
};
var mk_typeImageUrl = function(k=''){
var h = mk_getExt(k), i=-1, m='';
if(!h || !h.data || 0!=h.data.indexOf('data:image/')){
return 'text/html';
}
m = h.data.substring(5,h.data.indexOf(';'));
if(-1!=(i=h.data.indexOf(';text/plain,'))){
mk_setExt(k, h.data.slice(i+12), {type:m});
h.original = h.data;
}else{
window.setTimeout(function(){
try{
u = URL.createObjectURL(new Blob([new Uint8Array(mk_b64d(h.data) )], {type: m}));
}catch(err){
console.log(err);
}
if(!!u){
mk_setExt(k, u, {type:m});
}else{
mk_setExt(k, null, {type:m});
}
},10);
}
return m;
};
var mk_replaceML = function(t,o){
var node = t.cML();
node.innerHTML = (!!o.innerHTML ? o.innerHTML : o.toString()).replace(/(?:^<math[^>]*>)|(?:<\/math>)/uig,'').replace(/(?:^<mstyle[^>]*>)|(?:<\/mstyle>)/uimg,'');
for(i=-1;node.children.length>++i;){
node.children[i].setAttribute('xmlns',mkMathns);
}
node.innerHTML = node.innerHTML.replace(/\b(xmlns(:[^=]*)?\s*=\s*")[^"]*"/uig,'').replace(/(\/?>)/u,' xmlns="'+mkMathns+'"$1');
node = node.cloneNode(true);
if(!!o.mathKey){
node.mathKey = o.mathKey;
}
node.firstChild.removeAttribute('xmlns');
return node;
};
var mk_escRef = function(str=''){
if(!mkCref[2]){
var fn = function(v){return '(?:'+v.replace(/[\^\\\[\]\{\}()*+?.,$|#]/ug, '\\$&')+')';};
mkCref[2] = new RegExp('('+Object.keys(mkCref[0]).map(fn).join('|')+')', 'uig');
mkCref[3] = new RegExp('('+Object.keys(mkCref[1]).map(fn).join('|')+')', 'uig');
}
return str.replace(/([0-9]),([0-9])/ug,'$1,$2').replace(mkCref[2], function(m0,m1){
return mkCref[0][m1];}).replace(/([a-z0-9])\|([a-z0-9])/iug,'$1\u01C0$2').replace(mkCref[3], function(m0,m1){return mkCref[1][m1];});
//.trimEnd();
};
var mk_linkParent = function(t,p){
var i = -1, j = -1;
if(!!t.o[p].c){
i = t.o[p].c.length;
while(-1<--i){
t.o[j = t.o[p].c[i]].p = p;
if(!!t.o[j].c){
mk_linkParent(t,j);
}
}
}
if(t.o[p].args){
i = t.o[p].args.length;
while(-1<--i){
t.o[j=t.o[p].args[i]].p = p;
if(!!t.o[j].c){
mk_linkParent(t,j);
}
}
}
};
var mk_freeze = function(t,p){
if(-1<p){
var o = t.o[p];
undefined!=o.emsubscript && (o.__emsubscript = o.emsubscript);
undefined!=o.empower && (o.__empower = o.empower);
undefined!=o.power && (o.__power = o.power);
undefined!=o.subscript && (o.__subscript = o.subscript);
undefined!=o.text && (o.__text = o.text);
}
};
var mk_thaw = function(t,p){
var o = null;
if(0>p||!(o=t.o[p])){
return false;
}
if(undefined!=o.__thaw){
return o.__thaw;
}
delete o.empower;
delete o.emsubscript;
delete o.power;
delete o.subscript;
delete o.text;
undefined!=o.__empower && (o.empower = o.__empower);
undefined!=o.__power && (o.power = o.__power);
undefined!=o.__emsubscript && (o.emsubscript = o.__emsubscript);
undefined!=o.__subscript && (o.subscript = o.__subscript);
undefined!=o.__text && (o.text = o.__text);
return o.__thaw = (!t.x[p] || PHANTOM==t.o[p].symbol.type);
};
var mk_nextInfix = function(o, c, p, l, r=false){
(-1<p&&!!o[c[l][p]].symbol.isprefixop&&(-1<--p)),(-1<p&&undefined!=o[c[l][p]].prefixof&&(-1<--p)),(-1<p&&undefined!=o[c[l][p]].suffixof),(-1<p&&!!o[c[l][p]].symbol.suffixop&&(-1<--p));
//return (!r && '/'==t.o[c[level][p]].symbol.input&&INFIX==t.o[c[level][p]].symbol.type&&-1<--p)? nextInfix(o, c, p, l, true):p; //todo: create phantom
return p;
};
var mk_t = function(){
var q='', t = {cs:0, ps:0, o: [], x:{}, s:{}, i:{}, par:false, pML:null, cML:null, cc:null, fk:['rel','mem','op','d','rop']}, f1 = null, m1=null, xml=document.implementation.createDocument(null,'math');
f1 = function(v){ ++t.c.d[v][1]; };
m1 = function(v){
t.c.d[v][2] = !!t.c.rop[t.c.d[v][0]].symbol.pri?1:0;
t.c.d[v][3] = parseInt(t.c.rop[t.c.d[v][0]].mem,10);
return t.c.d[v];
};
t.cc = function(clr=true){
t.c = clr ? {d:{},op:{},arg:[],_eq:[],eq:{},req:{},rel:{},mem:{}, f1:f1, m1:m1} : {d:{},op:{},arg:[],_eq:t.c._eq,eq:t.c.eq,req:t.c.req,rel:{},mem:{}, f1:f1, m1:m1};
};
t.cc();
t.cremap = function(v){
if(!t.c.adj){return false;}
if('mem'==v && t.c.mem[t.c.adj[1]]){
t.c.mem[t.c.adj[1]] = t.c.adj[1];
}else if('rel'==v){
for(q in t.c.rel){
if(!!t.c.rel[q][t.c.adj[0]]){
Object.defineProperty(t.c.rel[q], t.c.adj[1], Object.getOwnPropertyDescriptor(t.c.rel[q], t.c.adj[0]));
delete t.c.rel[q][t.c.adj[0]];
}
}
}
if(undefined!=t.c[v][t.c.adj[0]]){
if('d'==v){
t.c.d[t.c.adj[0]][0] = t.c.adj[1];
}
Object.defineProperty(t.c[v], t.c.adj[1], Object.getOwnPropertyDescriptor(t.c[v], t.c.adj[0]));
delete t.c[v][t.c.adj[0]];
}
return false;
};
t.pML = function(i=-1,s=null){
var node = null, o=null;
if(-1==i || (undefined==i.charAt && undefined==(o=t.o[i]))){
return mkDoc.createElement('declare');
}
if(!!((!o && !!s && !!s.symbol) ? o=s : o)){
if(!!o.symbol.ctag){
node = mk_createElementMML(o.symbol.ctag, null);
}else{
node = (!!o.text && undefined==o.text.charAt && undefined==o.text.toPrecision) ? o.text :((!!o.text || !!o.symbol.output) ? mk_createElementMML(o.symbol.ptag, mkDoc.createTextNode(!!o.text? o.text : o.symbol.output)): mkDoc.createElement('declare'));
}
if(!s || !s.symbol){
return mk_unwrap(node);
}
}
if(undefined!=(o=mkNames[i]) && !!mkSymbols[o].ptag){
return mk_createElementMML(mkSymbols[o].ptag, null);
}
return mk_unwrap(mk_createElementMML(i, null == s ? node : ((undefined!=s.charAt||!!s.toPrecision)?mkDoc.createTextNode(s):s)));
};
t.cML = function(i=-1,s=null){
var node = null, o=null;
if(-1==i || (undefined==i.charAt && undefined==(o=t.o[i]))){
return xml.createElement('declare');
}
if(!!((!o && !!s && !!s.symbol) ? o=s : o)){
if(!!o.symbol.ctag){
node = mk_createElementMML(o.symbol.ctag, null, xml);
}else{
node = (!!o.text && undefined==o.text.charAt && undefined==o.text.toPrecision) ? o.text :((!!o.text || !!o.symbol.output) ? mk_createElementMML('mn'==o.symbol.ptag?'cn':'ci', xml.createTextNode(!!o.text? o.text : o.symbol.output),xml): xml.createElement('declare'));
}
if(!s || !s.symbol){
if(!!o && !!o.symbol && !!o.symbol.ctype && !!node.setAttribute){
node.setAttribute('type',o.symbol.ctype);
if('function' == o.symbol.ctype){
node = mk_createElementMML('apply', node);
}
}
return mk_unwrap(node);
}
}
if(undefined!=(o=mkNames[i]) && !!mkSymbols[o].ctag){
return mk_createElementMML(mkSymbols[o].ctag, null, xml);
}
return mk_unwrap(mk_createElementMML('mn'==i?'cn':('mi'==i?'ci':i),
null != s ? (
((!!node && !!s.symbol) && (!s.symbol.ctype ? true :
'c'==mk_nodeName(node).charAt(0) ? (node.setAttribute('type',s.symbol.ctype),true) : (
(-1!='|cn|ci|csymbol|'.indexOf('|'+mk_nodeName(node.firstChild)+'|'))?
(node.firstChild.setAttribute('type',s.symbol.ctype),true) : true
)
)
) ? node : (undefined!=s.charAt||!!s.toPrecision)?xml.createTextNode(s):s):null, xml));
};
return t;
};
mk.parseR = function(str, until=null){
var a=[], b=[], c=[], d=[], e={l:{},i:{},f:{},sp:{},br:{}}, eq='', h=0, i=0, j=0, k=0, l=0, level=0, lr=0, node=null, o=null, p=0, q=0, r={so:[],ps:[],'_':[],'^':[]}, rc={m:{},s:{},v:{},mr:{},c:{}}, t, to=0, rparen=mkParen[2],br=[],sr=0;
t = mk_t();
if(null!==until){
to = true;
}
eq = str = to ? mk_escRef(str) : mk.reParen(str);
q = str.length;
mkExt.cache[0]=mkExt.cache[3];
mkExt.cache[1]=mkExt.cache[4];
while(!!str){
if(q==((o = mk_rgetSymbol(str, ((!!o&&!!o.sp)?o.sp:[0,0,0,0]),false,t))).pos){
--o.pos;
}
q=o.pos;
if(NONE==o.symbol.type){
str = str.slice(0, o.pos>0?o.pos:0);
continue;
}
i = j = t.o.length;
k = i-1;
t.o.push(o);
if('/'==t.o[i].symbol.input && (0==i || (LEFTBRACKET!=t.o[k].symbol.type && LEFTRIGHT!=t.o[k].symbol.type && (!!t.o[k].text.charAt?'-'!=t.o[k].text.charAt(0):(t.o[k].text[0]?'-'!=t.o[k].text[0].text.charAt(0):false)) && (!(h=eq.charAt(o.pos+1)) || (('a'>h||h>'z') && ('A'>h||h>'Z') && ('0'>h||h>'9'))))) && !!mk_aCloseParen(str, '/', o.pos)){
t.o[i].symbol.output = ')';
t.o[i].symbol.type = RIGHTBRACKET;
}
l = 1==t.o[i].symbol.input.length ? ((LEFTBRACKET==t.o[i].symbol.type || (LEFTRIGHT==t.o[i].symbol.type && 0<i && ((LEFTRIGHT!=t.o[k].symbol.type && 1==lr)||(LEFTRIGHT==t.o[k].symbol.type && (2==lr || (1==lr && undefined==(level=--t.o[k].l) )) )) && !(lr=0))) ? level-- : ((RIGHTBRACKET==t.o[i].symbol.type || (LEFTRIGHT==t.o[i].symbol.type && mk_aCloseParen(str, '|', o.pos) && 0==lr++ && (0==i||LEFTRIGHT!=t.o[k].symbol.type))) ? level++ : level)):level;
if(undefined==a[level]){
a[level] = -1;
d[level] = -1;
c[level] = [];
}
if(undefined==a[l]){
a[l] = -1;
d[l] = -1;
c[l] = [];
}
if(!!t.o[i].symbol.iscalcop){
k = i;
if(undefined!==r['^'][level]&& -1!=r['^'][level]){
k = r['^'][level];
}
while(-1<--k && level!=t.o[k].l);
if(-1<k && (VAR==t.o[k].symbol.type || (CONST==t.o[k].symbol.type && !!t.o[k].symbol.sym) || PHANTOM==t.o[k].symbol.type || !!t.o[k].args)){
t.o[k].calcop = i;
t.o[i].calcopof = k;
}else if(-1<k && INFIX==t.o[k].symbol.type && '/'==t.o[k].symbol.input){
while(-1<--k && (level!=t.o[k].l || '^'==t.o[k].symbol.input || undefined!=t.o[k].calcop || !!t.o[k].symbol.iscalcop) && !t.o[k].symbol.arith);
if(-1<k && (VAR==t.o[k].symbol.type || PHANTOM==t.o[k].symbol.type|| (CONST==t.o[k].symbol.type && !!t.o[k].symbol.sym) || !!t.o[k].args)){
t.o[k].calcop = i;
t.o[i].calcopof = k;
}
}
if(undefined==t.o[i].calcopof){
t.o[i].symbol.type = VAR;
t.o[i].symbol.ptag='mi';
delete t.o[i].symbol.calcop;
delete t.o[i].symbol.ctag;
}
}else if(0<i&&!!t.o[i].symbol.attr){
t.x[i]=true;
t.o[k=i-1].attr=i;
t.o[k].sp[0]+=t.o[i].sp[0];
t.o[k].sp[1]+=t.o[i].sp[1];
t.o[k].sp[2]+=t.o[i].sp[2];
t.o[k].sp[3]+=t.o[i].sp[3];
t.o[i].sp[0]=t.o[k].sp[0];
t.o[i].sp[1]=t.o[k].sp[1];
t.o[i].sp[2]=t.o[k].sp[2];
t.o[i].sp[3]=t.o[k].sp[3];
}
j = i;
if(0<i && !!t.o[i].symbol.infixop){
str = str.slice(0, t.o[i].pos);
t.o[k=i-1].ofprefixop = t.o.pop().symbol;
r.ps[level] = k;
continue;
}
if(!!t.o[i].symbol.isprefixop){
k = i;
while(-1<--k && (level!=t.o[k].l || ('^'==t.o[k].symbol.input|| '_'==t.o[k].symbol.input) && -1!=--k));
if(k>-1 && (VAR==t.o[k].symbol.type || PHANTOM==t.o[k].symbol.type || (CONST==t.o[k].symbol.type && !!t.o[k].symbol.sym) || !!t.o[k].args)){
str = str.slice(0, t.o[i].pos);
p = t.o.pop().symbol;
if(p.functional){
delete p.functional;
delete p.ctag;
}
if(!!p.supressmath){
t.o[k].symbol.supressmath=true;
}
!!t.o[k].prefixop ? t.o[k].prefixop.push(p) : t.o[k].prefixop = [p];
!!t.o[k].prepend ? t.o[k].prepend.push(p) : t.o[k].prepend = [p];
if(!!p.append){
p = mk_cloneSymbol(p);
p.output=p.append;
!!t.o[k].append ? t.o[k].append.unshift(p) : t.o[k].append = [p];
}
continue;
}
}
if(!!t.o[i].symbol.issuffixop){
str = str.slice(0, t.o[i].pos);
!!r.so[level] ? r.so[level].unshift(t.o.pop().symbol) : r.so[level]=[t.o.pop().symbol];
continue;
}
if(0<i && INFIX==t.o[i].symbol.type && ('_'==(p=t.o[i].symbol.input) || '^'==p)){
h = i-1;
k = '^'==p ? 'power':'subscript';
str = str.slice(0, t.o[i].pos);
if(PHANTOM!=t.o[h].symbol.type){
j = h-1;
t.o[i] = mk_cloneSymbol(mkElementPhantom);
t.o[i].l = t.o[h].l;
t.o[h].l = t.o[h].l+1;
t.o[i].c = [c[level].pop()];
c[level].push(i);
e.i[h] = h;
e.f[h] = h;
}else{
j = t.o[h].c[0]-1;
t.o.pop();
i = h;
}
if(-1<j && INFIX==t.o[j].symbol.type && p==t.o[j].symbol.input){
t.o[j][k+'of'] = i;
t.o[i][k] = j;
delete e.sp[j];
if(!!(b = c[t.o[j].l].splice(c[t.o[j].l].indexOf(j),1)) && b.length){
t.o[i].c.unshift(b[0]);
}
++t.o[j].l;
mk_adjLevel(t,t.o[j].c,a,d,r);
}
e.sp[i] = -1;
r[p][level] = i;
t.o[i].symbol.type = INFIX;
t.o[i].symbol.input = p;
k = 0;
p = 0;
continue;
}
if(l!=level){
if(level>l){
if(undefined==e.l[level]){
e.l[level]=i+0;
}
l=level;
}else if(level<l && undefined!=(k=e.l[l])){
e.i[k] = i+0;
e.f[i] = k+0;
delete e.l[l];
}
}
if(RIGHTBRACKET==t.o[i].symbol.type || ':'==t.o[i].symbol.output){
if(']'==t.o[i].symbol.output){
rc.m[level] = 1;
t.x[i] = true;
}else if('/'==t.o[i].symbol.input && ')'==t.o[i].symbol.output){
rc.v[level] = 1;
t.x[i] = true;
}else if('}'==t.o[i].symbol.output){
(0<t.o[i].pos && ':'==str.charAt(t.o[i].pos-1))? ((rc.c[level] = 1), (t.x[i+1] = true)) : (!!rc.m[level-1] ? rc.mr[level] = 1 : rc.s[level] = 1);
t.x[i] = true;
}else if(':'==t.o[i].symbol.output && !!rc.c[level] && '{'==str.charAt(t.o[i].pos-1)){
t.x[i] = true;
}
}
j = i;
if((l==level && !!t.o[i].symbol.sep) || (l>level && -1!=d[l] && -1!=c[l].indexOf(d[l]))){
//mk_adjBreadth(t,i,c,e,r,[a,d,b]);
t.o.splice(i++, 0, mk_cloneSymbol(mkElementPhantom));
if(!!r.so[l]){
!!t.o[j].suffixop ? Array.prototype.unshift.apply(t.o[j].suffixop, r.so[l]) : t.o[j].suffixop = r.so[l].map(mk_acopy);
!!t.o[j].append ? Array.prototype.unshift.apply(t.o[j].append, r.so[l]) : t.o[j].append = r.so[l].map(mk_acopy);
delete r.so[l];
}
t.o[j].l = l;
t.o[j].c = [];
k=-1;
h = c[l].length;
while(-1==d[l] && h>++k && RIGHTBRACKET!=t.o[c[l][k]].symbol.type);
while(k<--h && d[l]!=c[l][h]){
t.o[j].c.unshift(c[l].pop());
}
k = t.o[j].c.length-1;
if(-1<k){
e.i[t.o[j].c[0]] = t.o[j].c[k];
e.f[t.o[j].c[k]] = t.o[j].c[0];
}
mk_adjLevel(t, t.o[j].c, a, d, r);
c[l].push(j);
d[l] = l>level ? -1 : i;//last decent at this level
if(rc.mr[l]){
++rc.mr[l];
t.x[i] = true;
t.o[j].matrixcol = true;
}else if(rc.v[l]){
++rc.v[l];
t.x[i] = true;
t.o[j].vectorcol = true;
}else if(rc.s[l]){
++rc.s[l];
t.x[i] = true;
t.o[j].setcol = true;
}else if(rc.m[l]){
++rc.m[l];
t.x[i] = true;
t.o[j].suppresstag = true;
}else if(rc.c[l]){
++rc.c[l];
t.x[i] = true;
t.o[j].crow = true;
}
j = i-1;
}
if(RIGHTBRACKET==t.o[i].symbol.type){
br.unshift( [t.o[i].symbol.output,i] );
}else if(LEFTBRACKET==t.o[j].symbol.type && 0<br.length && br[0][0]==rparen[t.o[j].symbol.output]){
b = br.shift();
e.br[b[1]] = j;
e.br[j] = b[1];
}
j = i;
if(0==o.pos && 0!=level){
--level;
str = '\u200a;';
o.pos=1;
if(undefined==c[level]){//should not happen
break;
}
}
if(l>level && -1<++j){
//mk_adjBreadth(t,i,c,e,r,[a,d,b]);
t.o.push(mk_cloneSymbol(mkElementPhantom,{lp:true}));
if(!!r.so[level]){
!!t.o[j].suffixop ? Array.prototype.unshift.apply(t.o[j].suffixop, r.so[level]) : t.o[j].suffixop = r.so[level].map(mk_acopy);
!!t.o[j].append ? Array.prototype.unshift.apply(t.o[j].append, r.so[level]) : t.o[j].append = r.so[level].map(mk_acopy);
delete r.so[level];
}
k=-1;
h = mkParen[0][t.o[i].symbol.output] || t.o[i].symbol.output;
while(undefined!=(p=c[l][++k]) ? ((h!=t.o[p].symbol.output || !!t.o[p].brk) && !t.o[p].c):((k=-1),false));
if(-1<k){
k=c[l][k];
p=-1;
while((!t.o[k].brk && h==t.o[k].symbol.output) ? ((t.o[k].brk=true),(t.o[k].l=l),(c[l].unshift((-1==p?c[l]:t.o[p].c).shift())),false) : (!!t.o[k].c && undefined!=(k=t.o[p=k].c[0])));
}
t.o[j].l = level;
c[l].push(i);
t.o[j].c = c[l].map(mk_acopy);
c[l] = [];
c[level].push(j);
if('^'!=(h = str.slice(t.o[i].pos-1, t.o[i].pos)) && '_'!=h){
a[level] = j; //last ascent at this level
}
h = 0;
if(LEFTRIGHT==t.o[i].symbol.type){
t.o[j].outfixop = 'abs';
}
if('['==t.o[i].symbol.output && !!rc.m[l]){
t.o[j].matrix = true;
rc.m[l] = false;
t.x[i] = true;
}
if(('{'==t.o[i].symbol.output || '\\'==t.o[i].symbol.input) && (!!rc.v[l] || !!rc.mr[l] || !!rc.c[l] || !!rc.s[l])){
!rc.v[l] || (t.o[j].vector = rc.v[l]);
!rc.s[l] || (t.o[j].set = rc.s[l]);
!rc.mr[l] || (t.o[j].matrixrow = rc.mr[l]);
!rc.c[l] || (t.o[j].piecewise = rc.c[l]);
rc.s[l] = false;
rc.v[l] = false;
rc.mr[l] = false;
rc.c[l] = false;
t.x[i] = true;
}
}
if(i==j){
k = false;
if(undefined!=t.o[i].symbol.functional){
p = c[level].length;
while(-1<--p && a[level]!=(j=c[level][p]) && !t.o[j].sep && INFIX==t.o[j].symbol.type && ('^'==t.o[j].symbol.input || '_'==t.o[j].symbol.input));
if(-1<p && PHANTOM==t.o[j].symbol.type){
k = true;
}
}
p = null;
if(k || ('mo'==t.o[i].symbol.ptag && UNDEROVER==t.o[i].symbol.type) || UNARY==t.o[i].symbol.type || BINARY==t.o[i].symbol.type){
p = null;
if(undefined!=t.o[i].symbol.functional){
if(VAR==t.o[i].symbol.type){
t.o[i].symbol.ptag = 'mo';
if(!!t.o[i].symbol.sym){
delete t.o[i].symbol.sym;
}
if(!!t.o[i].symbol.iscalcop){
delete t.o[i].symbol.iscalcop;
}
if(!t.o[i].symbol.ctag){
t.o[i].symbol.ctype='function';
}
t.o[i].symbol.type = t.o[i].symbol.functional;
}
}
h = -1;
k = -1;
p = c[level].length;
b = null;
while(-1<--p && c[level][p]!=a[level] && !t.o[c[level][p]].sep && (-1===h && -1===k && 0<(h=(('_'==t.o[c[level][p]].symbol.input&&!!(k='^')) ? p-- : (('^'==t.o[c[level][p]].symbol.input&&(k='_')) ? p-- : -2))) && -1<(p=mk_nextInfix(t.o,c,p,level)) && (k==t.o[c[level][p]].symbol.input ? (p=mk_nextInfix(t.o,c,(k=p)-1,level)) : (k=-2))&&0) || (-1<p && (!!b || !!(b=[p,false,false,false])) && (
(3<b.length && PHANTOM!=t.o[c[level][p]].symbol.type && DIFFERENTIAL!=t.o[c[level][p]].symbol.type && ((!!t.o[c[level][p]].symbol.pri || !!t.o[c[level][p]].symbol.sep)? ((b[1]=++p),b.pop()) : true )) ||
(2<b.length && !!t.o[i].symbol.integral && 0<p && ((DIFFERENTIAL==t.o[c[level][p]].symbol.type && 'd'==t.o[c[level][p]].symbol.output && 'mi'==t.o[c[level][p-1]].symbol.ptag)? ((t.o[c[level][p]].intop=i),(t.o[i].op=c[level][p]), -1<(b[1]=--p), b.pop()):true)))));
;
if(!b){
b = [p,false,false,false];
}
if(false===b[1]){
b[1]=p;
}
if(-1<h){
t.o[i][j= '^'==(p=t.o[c[level][h]].symbol.input) ? 'power':'subscript'] = c[level][h];
t.o[c[level][h]][j+'of']=i;
delete e.sp[c[level][h]];
if(c[level][h]==r[p][level]){
r[p][level] = -1;
}
}
if(-1<k){
t.o[i][j= '^'==(p=t.o[c[level][k]].symbol.input) ? 'power':'subscript'] = c[level][k];
t.o[c[level][k]][j+'of']=i;
delete e.sp[c[level][k]];
if(c[level][k]==r[p][level]){
r[p][level] = -1;
}
}
p = b[0];
j = (-1==b[1])?0:b[1];
if(1==mkDebug){
console.log('--------------'+t.o[i].symbol.output);
console.log(c[level]);
console.log(h+','+k+','+p+','+j);
console.log((h>-1?(c[level][h]+':'+t.o[c[level][h]].symbol.output):-1)+','+(k>-1?(c[level][k]+':'+t.o[c[level][k]].symbol.output):-1)+','+(p>-1?(c[level][p]+':'+t.o[c[level][p]].symbol.input):-1));
}
b.splice(0);
t.o[i].args=[];
if(0<c[level].length && -1<p){
b = c[level].slice(j, (h>-1?h:p)+1);
p = c[level][k=p];
if((1==b.length || (-1<h && c[level][h]==b[b.length-1])) && PHANTOM==t.o[b[0]].symbol.type){
p=b[0];
mk_adjLevel(t,b,a,d,r);
t.o[p].l = level+1;
a[level] = p;
t.o[i].args=[p];
c[level] = c[level].filter(function(v){return -1==b.indexOf(v);});
b = b.filter(function(v){return -1==t.o[p].c.indexOf(v);});
t.o[i].c = b.map(mk_acopy);
k=t.o[p].c.length;
if(!t.o[p].matrix && 4<k && RIGHTBRACKET==t.o[t.o[p].c[0]].symbol.type && LEFTBRACKET==t.o[t.o[p].c[k-1]].symbol.type && PHANTOM==t.o[t.o[p].c[1]].symbol.type && PHANTOM==t.o[t.o[p].c[k-2]].symbol.type && !!t.o[t.o[p].c[2]].symbol.sep && (BINARY==t.o[i].symbol.type||t.o[i].symbol.sov)){
b=t.o[p].c.map(mk_acopy).reverse();
b.pop();
b.shift();
k=b.length;
while(-1<--k){
if(!!t.o[b[k]].symbol.sep||','==t.o[b[k]].symbol.output){
b.splice(k,1);
}
}
}
}else {
mk_adjBreadth(t,++p,c,e,r,[a,d,b]);
e.i[b[0]]=p-1;
e.f[p-1]=b[0];
++i;
t.o.splice(p, 0, mk_cloneSymbol(mkElementPhantom));
mk_adjLevel(t,b,a,d,r);
t.o[p].l = level+1;
t.o[p].c = c[level].slice(j, k+1);
mk_adjLevel(t,t.o[p].c,a,d,r);
a[level] = p;
t.o[i].args=[p];
c[level] = c[level].filter(function(v){return -1==b.indexOf(v);});
b = b.filter(function(v){return -1==t.o[p].c.indexOf(v);});
b.unshift(p);
t.o[i].c = b.map(mk_acopy);
}
t.o[p].isarg = true;
while(0<(k=b.length-1) && ('^'==t.o[b[k]].symbol.input||'_'==t.o[b[k]].symbol.input)){
b.pop();b.pop();
}
if(1<b.length && !t.o[i].symbol.integral){
t.o[i].arg = t.o[i].args.pop();
t.o[i].args = b.map(mk_acopy);//.reverse();
}
}
if(BINARY==t.o[i].symbol.type){
if(undefined==t.o[i].arg){
t.o[i].arg = t.o[i].args.pop();
}
if(1>t.o[i].args.length && -1<(p = c[level].indexOf(t.o[i].arg)) && !!t.o[p=c[level][p]].c && 1<(j=t.o[p].c.length)){
while(-1<--j && (2>t.o[i].args.length||!!t.o[t.o[p].c[j]].ofsuffixop) && (PHANTOM!=t.o[t.o[p].c[j]].symbol.type || (t.o[i].args.push(t.o[p].c[j]),(t.o[t.o[p].c[j]].isarg=true))));
}
}
p = undefined!=t.o[i].arg ? t.o[i].arg : t.o[i].args[0];
if(t.o[i].symbol.integral){
if(-1<(h=t.o[i].args.length-1) && !!t.o[t.o[i].args[h]].c && -1<(k=t.o[t.o[i].args[h]].c.length-1)){
if(t.o[t.o[t.o[i].args[h]].c[k]].symbol.integral){
t.o[i].op = t.o[t.o[t.o[i].args[h]].c[1]].op = t.o[t.o[i].args[h]].c[k];
}else if(undefined!=t.o[t.o[i].args[h]].c[1]){
t.o[t.o[t.o[i].args[h]].c[1]].op=t.o[t.o[t.o[i].args[h]].c[1]].intop;
delete t.o[t.o[t.o[i].args[h]].c[1]].intop;
delete t.o[i].op;
}
}
}
if(undefined!=(p=t.o[i].arg)||undefined!=(p=t.o[i].args[0])){
if( undefined!=t.o[p].suffixop){
!!t.o[i].suffixop ? Array.prototype.unshift.apply(t.o[i].suffixop, t.o[p].suffixop) : t.o[i].suffixop = t.o[p].suffixop.map(mk_acopy);
!!t.o[i].append ? Array.prototype.unshift.apply(t.o[i].append, t.o[p].append) : t.o[i].append = t.o[p].append.map(mk_acopy);
delete t.o[p].append;
delete t.o[p].suffixop;
}
if( undefined!=t.o[p].ofsuffixop){
t.o[i].ofsuffixop = t.o[p].ofsuffixop;
t.o[i].prefixof = t.o[p].prefixof;
t.o[t.o[i].prefixof].suffixof = i;
delete t.o[p].ofsuffixop;
delete t.o[p].prefixof;
}
if(undefined!=(k=t.o[p].c[0]) && ((1<k && ')'==t.o[k].symbol.output) && ((p=i),(j=level+1),(h='em'))) && (('^'==t.o[k-1].symbol.input && (h+='power')) || ('_'==t.o[k-1].symbol.input) && (h+='subscript')) ){
delete e.sp[k-1];
t.o[p][h]=k-1;
t.o[k-1][h+'of']=p;
t.o[k-1].l=j;
t.o[k-2].l=t.o[k-1].l+1;
if(!!t.o[k-2].c){
mk_adjLevel(t,t.o[k-2].c,a,d,r);
}
}
t.o[p].c = t.o[p].c.filter(function(v){return INFIX!==t.o[v].symbol.type && '^'!==t.o[v].symbol.input && '_'!==t.o[v].symbol.input; });
}
h=0;
if(null!=p){
if(!(!!t.o[p].vector || !!t.o[p].set || !!t.o[p].matrix)){
if(!!t.o[i].symbol.separators && !!t.o[p].c){
j = t.o[p].c.length;
while(-1<--j && (!t.o[t.o[p].c[j]].symbol.sep || (t.o[t.o[p].c[j]].symbol.output=t.o[i].symbol.separators)));
}
}
}
if('stackrel'==t.o[i].symbol.input && undefined!=(p=t.o[i].args[1])){
h = t.o[i].args[0];
t.o[h].stackrel = p;
t.o[p].stackref = h;
if(2>=++sr){
mkExt.cache[3]=mkExt.cache[0];
mkExt.cache[4]=mkExt.cache[1];
mkExt.cache[0]='';
mkExt.cache[1]='';
}
t.o[i].stackname = t.o[p].stackname = t.o[h].stackname = mk_newStackName((!!t.o[p].c && 1==t.o[p].c.length && TEXT==t.o[t.o[p].c[0]].symbol.type) ? t.o[t.o[p].c[0]].text.trim() : mk_findStackName(t,eq,p,2), true);
k = mk_newStackRef(((!!t.o[h].c && 1==t.o[h].c.length && TEXT==t.o[t.o[h].c[0]].symbol.type && !!t.o[t.o[h].c[0]].text.trim()) ? t.o[t.o[h].c[0]].text.trim() : mk_findStackName(t,eq,h,1)), t.o[i].stackname);
if(3===mkDebug){
console.log(eq);
console.log(t.o[i].stackname);
console.log(t.s);
}
t.o[h].stype = t.o[i].stype = t.o[p].stype = '';
if((!!t.o[h].symbol.output || !!t.o[h].symbol.text || PHANTOM==t.o[h].symbol.type) && !!t.o[p].c && 0<t.o[p].c.length && (((VAR==t.o[t.o[p].c[0]].symbol.type&&(k='function'))||(TEXT==t.o[t.o[p].c[0]].symbol.type)&&(k='text')) || !!t.o[t.o[p].c[0]][k='vector'] || !!t.o[t.o[p].c[0]][k='set'] || !!t.o[t.o[p].c[0]][k='matrix'] || !!t.o[t.o[p].c[0]][k='function'] || (PHANTOM==t.o[t.o[p].c[0]].symbol.type&&(k='function')) || (MULTI==t.o[t.o[p].c[0]].symbol.type&&(k='function')))){
//experimental
if(!!(j=mk_getExt(t.o[i].stackname)) && 'text'==k && 'error'!==j.data && !!j.type){
k = j.atype = j.type;
}else{
j.atype = k;
}
t.o[p].stackop = t.o[h].stackop = i;
if(-1=='|image|text|'.indexOf(k.replace(/\/.*$/ug,''))){
t.o[h].symbol.ctype = k.replace('math','function');
if('math'!=k){
k='function';
}
}
j.type = t.o[h].stype = t.o[i].stype = t.o[p].stype = k;
if('loading'==j.status && !j.data && !!j.type){
j.status='error';
}
j = i;
t.o[i].stackref = t.o[p].stackref;
t.o[i].stackrel = t.o[h].stackrel;
t.o[i].args.pop();
t.o[i].symbol.type = UNARY;
t.o[i].symbol.ptag = 'mi';
t.o[i].symbol.output = '';
}
}else if('stackrel'==t.o[i].symbol.input && undefined!=(p=t.o[i].arg)){
t.o[i].stackname = mk_newStackName((
((TEXT==t.o[p].symbol.type && !!t.o[h=p].text)||
(!!t.o[p].c && 1==t.o[p].c.length && TEXT==t.o[h=t.o[p].c[0]].symbol.type && !!t.o[h=t.o[p].c[0]].text)) ? t.o[h].text.trim() : j=mk_findStackName(t,eq,p-1,0)),true);
if(2>=++sr){
mkExt.cache[3]=mkExt.cache[0];
mkExt.cache[4]=mkExt.cache[1];
mkExt.cache[0]='';
mkExt.cache[1]='';
}
mk_newStackRef(t.o[i].stackname,t.o[i].stackname);
if(3===mkDebug){
console.log(eq);
console.log(t.o[i].stackname);
console.log(t.s);
}
if(!!(j=mk_getExt(t.o[i].stackname)) && 'error'!==j.data && !!j.type){
k = j.atype = j.type;
}else{
k = (t.o[p][j.atype='vector'] || !!t.o[p][j.atype='set'] || !!t.o[p][j.atype='matrix'] || PHANTOM==t.o[p].symbol.type || VAR==t.o[p].symbol.type) ? 'function' : 'text';
if(!j.atype){
j.atype = 'code';
}
}
if(-1=='|image|text|'.indexOf(k.replace(/\/.*$/ug,''))){
t.o[p].symbol.ctype = k.replace('math','function');
}
j.type = t.o[p].stype = t.o[i].stype = k;
if('loading'==j.status && !j.data && !!j.type){
j.status='error';
}
j = i;
t.o[i].symbol.type = UNARY;
t.o[i].symbol.ptag = 'mi';
t.o[i].symbol.output = '';
h = null;
}else if(!!(b = t.o[t.o[i].args[0]]) && !!b.c && 1<(k=b.c.length)){
while(-1<--k && 'tendsto'!=t.o[b.c[k]].symbol.ctag);
if(-1<k){
t.o[i].apply = k;
}
}
}else {
if(!!t.o[i].symbol.functional){
delete t.o[i].symbol.functional;
if(VAR==t.o[i].symbol.type || UNDEROVER==t.o[i].symbol.type){
t.o[i].symbol.type = VAR;
delete t.o[i].symbol.ctag;
}
}
}
j=i;
!!c[level] ? c[level].push(i) : (c[level]=[i]);
}
t.o[i].l = l;
j = t.o.length -1;
if(!!r.so[level]){
!!t.o[j].suffixop ? Array.prototype.unshift.apply(t.o[j].suffixop, r.so[level]) : t.o[j].suffixop = r.so[level].map(mk_acopy);
!!t.o[j].append ? Array.prototype.unshift.apply(t.o[j].append, r.so[level]) : t.o[j].append = r.so[level].map(mk_acopy);
delete r.so[level];
}
if(undefined!=(k=r.ps[level])){
t.o[j].ofsuffixop = t.o[k].ofprefixop;
t.o[j].prefixof = k;
t.o[k].suffixof = j;
delete r.ps[level];
}
b = ['^','_',false];
while(!!(p=b.shift())){
j=i-1;
while(t.o.length>++j){;
h = null!=t.o[j].l ? t.o[j].l : l;
if(undefined!=(k=r[p][h])&&-1!=k){
if(LEFTBRACKET==t.o[j].symbol.type){
if(1<h){
r[p][h-1] = k;
}
e.sp[k] = -2;
}else{
if(undefined!==e.sp[k]){
e.sp[k] = j;
}
r[p][h] = -1;
}
}else if(undefined!=(k=r[p][h+1]) && undefined!==e.sp[k] && -2==e.sp[k]){
e.sp[k] = j;
r[p][h+1] = -1;
}
}
}
p = 0;
str = str.slice(0, t.o[i].pos);
if(!!to && level==until){
return t.o[i];
}
}
c = [];
i = k = t.o.length;
h = j = p = -1;
rc = {'power':'^','subscript':'_'};
r = {'em':false,'':true};
while(-1<--i){
o = t.o[i];
if(!!o.c||!!o.args){
mk_linkParent(t,i);
}
if(undefined!=e.br[i]){
o.br = e.br[i];
t.o[e.br[i]].br = i;
delete e.br[e.br[i]];
delete e.br[i];
}
if('mstyle'==o.symbol.ptag){
o.sp[0]=0;
o.sp[1]=0;
o.sp[2]=0;
o.sp[3]=0;
}
for(p in rc){
if(INFIX == o.symbol.type && rc[p]==o.symbol.input){
lr = false;
for(h in r){
if(!!r[h] && !!lr){
continue;
}else if(undefined==(j=o[h+p+'of'])){
if(undefined!=e.sp[i] && -1<e.sp[i] && (undefined!=(j=o[p+'of'])||!!r[h])){
j = e.sp[i];
}else if(!r[h]){
continue;
}else {
j = i;
while(k>++j && o.l!=t.o[j].l){
console.log(i+' discontinuity@'+j);
}
}
if(-1>j || !t.o[j]){
continue;
}
o[h+p+'of'] = j;
t.o[j][h+p] = i;
}
lr = true;
e.i[i]=i;
e.f[i]=i;
o['is'+h+p] = true;
if(!!t.o[j].c && -1!=(l=t.o[j].c.indexOf(i))){
t.o[j].c.splice(l,1);
}
while(o.l<=t.o[j].l){
++t.o[i].l;
}
o.symbol.output = '';
}
delete e.sp[i];
}
}
if(!!t.o[i].c && 0<t.o[i].c.length && undefined!==t.o[t.o[i].c[0]].p){
mk_adjLevel(t,t.o[i].c);
}
}
if(1==mkDebug){
console.log(c);
t.o.map(function(v,i){console.log(i+': '+JSON.stringify(v));});
}
rc = {};
i = t.o.length;
while(-1<--i){
o = t.o[i];
if(!!o.c && 0<o.c.length && !!t.o[k=o.c[0]] && undefined==o.calcop && (RIGHTBRACKET==t.o[k].symbol.type || (o.symbol.ptag==o.symbol.output &&!!o.args&&1==o.args.length&&!!t.o[k=o.args[0]] && !!t.o[k].c && 0<t.o[k].c.length && RIGHTBRACKET==t.o[k=t.o[k].c[0]].symbol.type)) && undefined!=t.o[k].br && ((4>o.c.length&&!o.isarg) || 3>o.c.length || (!!o.args && o.symbol.ptag==o.symbol.output) || !!o.issubscript || (undefined!=o.powerof && (UNDEROVER==t.o[o.powerof].symbol.type || !!t.o[o.powerof].symbol.integral) ) || (undefined!=o.p && (!!t.o[o.p].symbol.sov || UNDEROVER==t.o[o.p].symbol.type)) ) ){
t.o[t.o[k].br].symbol.invisible=true;
t.o[k].symbol.invisible=true;
}else if(!!o.symbol.invisible && 0<i && o.symbol.output!=o.symbol.input && RIGHTBRACKET==t.o[k=i-1].symbol.type && t.o[k].symbol.output==t.o[k].symbol.input){
t.o[t.o[k].br].symbol.invisible=true;
t.o[k].symbol.invisible=true;
}else if('stackrel'==o.symbol.input && undefined!=o.arg && !!t.o[o.arg].c && 1<t.o[o.arg].c.length && RIGHTBRACKET==t.o[k=t.o[o.arg].c[0]].symbol.type && LEFTBRACKET==t.o[j=t.o[o.arg].c[t.o[o.arg].c.length-1]].symbol.type){
t.o[k].symbol.invisible=true;
t.o[j].symbol.invisible=true;
}
if(RIGHTBRACKET==o.symbol.type || LEFTBRACKET==o.symbol.type){
//todo: better respacing, including sep within mfence etc....
mk_reSpace(t,i);
}
if(undefined!=e.f[i]){
!!c[o.l]?c[o.l].unshift(-1):c[o.l]=[-1];
}
!!c[o.l]?c[o.l].unshift(i):c[o.l]=[i];
if(undefined!=e.i[i]){
c[o.l].unshift(-1);
}
if('stackrel'==o.symbol.input){
t.s[o.stackname] = i;
}
mk_freeze(t, i);
rc[i]=t.x[i];
}
for(j=-1;c.length>++j;){
if(!c[j]){
for(k=-1;t.o.length>++k;){
if(j<=t.o[k].l){
--t.o[k].l;
}
}
c.splice(j--,1);
}
}
if(2==mkDebug){
t.o.map(function(v,i){console.log(i+': '+ JSON.stringify(v));});
console.log(mkExt);
console.log(mkOrigin);
}
a=[];
h = lr = -1;
i = c.length;
while(-1<--i){
if(undefined==c[i]){
console.log(c);
break;
}
j = c[i].length;
while(-1<--j){
if(-1==(p=c[i][j]) || !(o = t.o[p]) || (!!t.x[p] && PHANTOM!=o.symbol.type)){
continue;
}
if(-1<(k=undefined!=o.calcop?((h=p),o.calcop):(undefined!=o.calcopof?((h=o.calcopof),p):-1))){
t.x[h] = true;
if(!t.o[k]._calcop){
t.o[k]._calcop = true;
if(0<lr && undefined!=t.o[h].power){
t.o[h].order = t.o[h].power;
}else if(undefined!=t.o[k].power){
t.o[k].order = t.o[k].power;
delete t.o[k].power;
}
if(undefined!=t.o[k].subscript && undefined==t.o[h].subscript){
t.o[h].subscript=t.o[k].subscript;
delete t.o[k].subscript;
}
}else if(0<lr){
t.o[h].order = t.o[k].order;
delete t.o[k].order;
}
}
mk_presentation(t, p);
if(INFIX==o.symbol.type && '/'==o.symbol.output){
k = j;
while(c[i].length>++k && -1!=(h=c[i][k]) && !!t.x[h]);
if(-1<h && !!t.o[h]){
lr = h;
mk_pMrow(t.o[lr].presentation);
mk_addClass(t.o[lr].presentation,'__mkFraction');
mk_pRemoveBrackets(t, lr);
t.o[lr].op = p;
t.o[lr].isnumerator = true;
o.numerator = lr;
t.x[lr] = true;
t.x[p] = true;
}
}else if(lr>-1){
o.op = t.o[lr].op;
t.o[t.o[lr].op].denominator = p;
o.isdenominator = true;
mk_pMrow(o.presentation);
mk_pRemoveBrackets(t, p);
node = t.pML('mfrac');
mk_appendChild(node, t.o[lr].presentation);
mk_appendChild(node, o.presentation);
o.presentation = node;
lr = -1;
}
}
}
o = mk_createElementMML('math');
j = !!c[0] ? c[0].length : 0;
while(-1<--j){
if(0>(p = c[0][j]) || !!t.x[p] || !t.o[p].presentation){
continue;
}
o.appendChild(t.o[p].presentation);
}
o.setAttribute('alttext', eq.replace(/</ug,'&lt;').replace(/>/ug,'&gt;'));
o.setAttribute('xmlns', mkMathns);
if(!mkDoc.createElementNS){
o.setAttribute('xmlns:m', mkMathns);
}
for(k in conf.mstyle){
o.setAttribute(k,conf.mstyle[k]);
}
mk_tunwrap(t,o);
(function(){
var fo = '<foreignObject width="100%" height="100%" style="background-color:#ffffff;"><style>/* <![CDATA[ */'+mkFallbackCSS+'/* ]]> */</style>'+o.outerHTML+'</foreignObject>', div = mkDoc.createElement('div'), img = new Image(), dh = 0, dw = 0;
o.setAttribute('altimg', 'data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg">'+fo+'</svg>');
div.appendChild(o.cloneNode(true));
div.style='opacity:0;position:absolute;width:auto;height:auto;';
mkDoc.body.appendChild(div);
dh = div.clientHeight*2, dw = div.clientWidth*2;
mkDoc.body.removeChild(div);
if(1>dw || 1>dh){
return;
}
fo = 'data:image/svg+xml;utf8,'+encodeURIComponent('<svg xmlns="http://www.w3.org/2000/svg" width="'+dw+'" height="'+dh+'">'+fo+'</svg>');
img.onload = function(){
var c = mkDoc.createElement('canvas'), im='';
c.width=dw;
c.height=dh;
c.getContext('2d').drawImage(img, 0, 0);
try{
im = c.toDataURL();
o.setAttribute('altimg', im);
}catch(err){
console.log(err);
}
};
img.src = fo;
})();
t.x = rc;
t.cc();
i = c.length;
while(-1<--i){
if(undefined==c[i]){
console.log(c);
break;
}
j = c[i].length;
while(-1<--j){
if(!mk_thaw(t, p = c[i][j]) || !!t.o[p].xbracket){
continue;
}
mk_contents(t, p, c[i]);
}
}
o.mathKey = t.cML('math');
o.mathKey.setAttribute('xmlns', mkMathns);
if(!mkDoc.createElementNS){
o.mathKey.setAttribute('xmlns:m', mkMathns);
}
j = !!c[0] ? c[0].length : 0;
while(-1<--j){
if(0>(p = c[0][j]) || !t.o[p] || !t.o[p].mk){
continue;
}
if(undefined!=t.annotation&&t.annotation>p){
mk_appendChild(t.annotate.lastChild, t.o[p].mk);
continue;
}
mk_appendChild(o.mathKey, t.o[p].mk);
}
if(!!t.annotate){
mk_appendChild(o.mathKey, t.annotate);
}
c = o.getElementsByTagName('img');
for(p=-1;c.length>++p;){
c[p].mathKey_img = mkDoc.createElement('img');
(function(){
var mimg=c[p],himg=c[p].mathKey_img,src='',r,x='',s=[];
himg.style.display = 'none';
s[0] = mimg.getAttribute('title');
if(!!(s[1]=s[0].match(/(?:^|[^0-9])([0-9]+\.?[0-9]*)\s*x/i))){
s[0] = parseFloat(s[1][1]);
s.splice(1,1);
}else{
if(!!(s[1]=s[0].match(/(?:^|[^0-9])([0-9]+\.?[0-9]*)\s*w/i))){
s[1] = parseFloat(s[1][1]);
}
if(!!(s[2]=s[0].match(/(?:^|[^0-9])([0-9]+\.?[0-9]*)\s*h/i))){
s[2] = parseFloat(s[2][1]);
}
s[0]=0;
}
mimg.removeAttribute('title');
himg.setAttribute('alt',mimg.getAttribute('alt'));
himg.onload = function(){
if('mi'==mk_nodeName(mimg.parentNode.previousElementSibling) && !mimg.parentNode.previousElementSibling.innerHTML){
mimg.parentNode.parentNode.removeChild(mimg.parentNode.previousElementSibling);
}
x = mimg;
while(!!(x=x.parentNode)&&'math'!=mk_nodeName(x)&&(!x.scrollWidth || !x.scrollHeight));
if(!x || (!x.scrollWidth&&!x.scrollHeight)){
x = {scrollHeight:6, scrollWidth:0};
}
if(!this.height){
this.height = 1;
}
if(!this.width){
this.width = 1;
}
r = !!s[0]?s[0]:1;
if(x.scrollHeight>x.scrollWidth){
this.setAttribute('width', Math.round(r*x.scrollHeight*this.width/this.height));
this.setAttribute('height', Math.round(r*x.scrollHeight));
}else{
this.setAttribute('height', Math.round(r*x.scrollWidth*this.height/this.width));
this.setAttribute('width', Math.round(r*x.scrollWidth));
}
if(!!s[1]){
if(!s[2]){
this.setAttribute('height', Math.round(s[1]*this.height/this.width));
}
this.setAttribute('width', Math.round(s[1]));
}
if(!!s[2]){
if(!s[1]){
this.setAttribute('width', Math.round(s[2]*this.width/this.height));
}
this.setAttribute('height', Math.round(s[2]));
}
if(!!(x=mimg.parentNode.parentNode.firstChild.firstChild) && 'mphantom'==mk_nodeName(x)){
x.setAttribute('height','0px');
x.setAttribute('width','0px');
x.setAttribute('style','display:none;');
}
x = t.pML('mspace');
x.setAttribute('height',this.getAttribute('height')+'px');
x.setAttribute('width',this.getAttribute('width')+'px');
mimg.parentNode.parentNode.firstChild.appendChild(x);
r = [mkDoc.createElement('div')];
x = x.parentNode;
r[0].style = 'float:left;height:0px;width:0px;line-height:0px;margin:0;padding:0;overflow:visible;z-index:99999;';
this.insertAdjacentElement('beforebegin', r[0]);
r[0].appendChild(this);
r[1]=x;
r[1].removeChild(r[1].children[0]);
while(!!(r[2]=r[1].parentNode) && (r[1]=r[2]) && 'math'!=mk_nodeName(r[1]));
r[2]=mkDoc.createElement('div');
r[2].style = 'display:inline-block;';
r[1].insertAdjacentElement('beforebegin', r[2]);
r[2].appendChild(r[0]);
r[2].appendChild(r[1]);
r[3] = r[2].getBoundingClientRect();
r[4] = x.getBoundingClientRect();
if(!!x){
this.setAttribute('style','position:relative;display:inline-block;top:'+Math.round(Math.abs(r[4].y-r[3].y)+0.2*this.height)+'px;left:'+(Math.abs(r[4].x-r[3].x))+'px');
}
delete mimg.mathKey_img;
};
src = mimg.getAttribute('src');
mimg.removeAttribute('src');
mkDoc.body.appendChild(himg);
himg.src = src;
})();
}
o.addEventListener('click', function(e){
var that=this, ta = document.createElement('textarea');
ta.value = that.outerHTML;
that.setAttribute('style','background-color:#999;cursor:pointer;-webkit-user-select: none;-moz-user-select: none;-ms-user-select: none;user-select: none;');
ta.style = 'opacity:0;height:1px;width:1px;position:absolute;top:'+e.clientY+'px;left:'+e.clientX+'px;';
document.body.appendChild(ta);
ta.select();
document.execCommand('copy');
document.body.removeChild(ta);
window.setTimeout(function(){that.removeAttribute('style');},350);
},true);
o.addEventListener('dblclick', function(){
var that=this,ta = document.createElement('textarea');
ta.value = this.mathKey.outerHTML;
that.setAttribute('style','background-color:#999;cursor:pointer;-webkit-user-select: none;-moz-user-select: none;-ms-user-select: none;user-select: none;');
ta.style = 'opacity:0;height:1px;width:1px;position:absolute;top:'+e.clientY+'px;left:'+e.clientX+'px;';
document.body.appendChild(ta);
ta.select();
document.execCommand('copy');
document.body.removeChild(ta);
window.setTimeout(function(){that.removeAttribute('style');},350);
},true);
if(1==mkDebug){
console.log(o.outerHTML);
console.log(o.mathKey.outerHTML);
}
return o;
};
window.addEventListener('keydown', function(e){
if(!!e.ctrlKey && 'c'==e.key){
var node = null;
if('math'==mk_nodeName(node=document.activeElement) || 1==node.children.length && 'math'==mk_nodeName(node=node.children[0])){
mkCopying = node;
}
}
},true);
window.addEventListener('keyup', function(e){
if(!!mkCopying){
if('Control'==e.key){
mkCopying = null;
mkCCopy = 0;
}else{
var ta = document.createElement('textarea');
ta.value = (0==(++mkCCopy%2) && !!mkCopying.mathKey)? mkCopying.mathKey.outerHTML : mkCopying.outerHTML;
document.body.appendChild(ta);
ta.select();
document.execCommand('copy');
document.body.removeChild(ta);
}
}
},true);
var mk_parseSo = function(input,output,cb=null,rc=false){
var ext = {}, v = input.value, name, fn=null, x;
if(!!mkFromMathKey){
rc = true;
}else if(window.self!==window.top){
window.stop();
return false;
}
if(!rc){
v = v.replace(/stackrel\s*\(\s*"?([^",]+?)"?\s*,\s*("?)(\s*[^"]+?\s*)"?\s*\)/gum, function(m0,m1,m2,m3){ if(')'==m3.charAt(0)){return ' '} mk_newStackOrigin(m1,m3); ext[mk_newStackName(m3,false)]=m3; return ' ';});
v = v.replace(/stackrel\s*\(\s*"?([^",]+?)"?\s*,\s*""\s*\)/gum, function(m0,m1){ if(')'==m1.charAt(0)){return ' '} if(!!mkOrigin[m1]){mk_setExt(mkOrigin[m1],'');} return ' ';});
v = v.replace(/stackrel\s*\(\s*""\s*,\s*"?([^",]+?)"?\s*\)/gum, function(m0,m1){ if(')'==m1.charAt(0)){return ' '}mk_setExt(m1,''); return ' ';});
v.replace(/stackrel\s*\(\s*"?\s*([^"]+?)\s*"?\s*\)/gum, function(m0,m1){ if(')'==m1.charAt(0)){return ' '} ext[mk_newStackName(m1,false)]=m1; return ' ';});
(fn = (function(){var to=mkTo.checkForId[1]; return function(init=false){
for(name in ext){
if(undefined!==mkExt.sn[name]){
if('loading'!==mkExt.sn[name].status){
delete ext[name];
}
continue;
}
}
if(!!init){
return;
}
return (1>--to || 1>Object.keys(ext).length)?(
(!!output&&!!output.appendChild&&!!output.querySelector('.__mkLoading')&&(output.removeChild(mkLoading))), mk_parseSo(input, output, cb, true)) :
window.setTimeout(fn, mkTo.checkForId[0]);
};})())(true);
}
if(0<Object.keys(ext).length){
output.innerHTML='';
(!!output&&!!output.appendChild&&(output.appendChild(mkLoading)));
for(name in ext){
if(!mkExt.sn[name]){
mk_newStackName(name, 'loading');
}
x = mk_frame(name, {args:{name: name, ext:ext[name]}, fn: mk_regSig(function(com){
var m = '',o=null, k=false,
_mk_idFromUrl = function(s=''){
var i = 0;
return -1!=(i = s.indexOf('#')) ? s.substring(i).replace(/^[\s#]+/ug,'').trim() : '';
};
if(!!com.res && 'object'==typeof com.res && com.res instanceof HTMLImageElement){
k = true;
com.doc = document;
}
if(!!com.doc){
if((!!k&&(m=com.res.contentType)) || (!!(m=(com.doc.contentType || com.doc.mimeType)) && 0===m.indexOf('image/'))){
var c = com.doc.createElement('canvas'), img = !!k ? com.res : com.doc.body.children[0];
c.width = img.naturalWidth;
c.height = img.naturalHeight;
c.getContext('2d').drawImage(img, 0, 0);
try{
o = c.toDataURL(m);
}catch(err){
c = null;
console.log(err);
}
m = (!c || !o) ? 'data:'+m+';text/plain,'+img.src : o;
c = null;
if(!!k){
img.src='';
}
k = false;
}else if(!!(m=_mk_idFromUrl(com.args.name))){
if(!!(m=com.doc.getElementById(m))){
m = 'pm'==com.path ? (m.outerHTML + (!!m.mathKey? (!!m.mathKey.outerHTML?m.mathKey.outerHTML:m.mathKey.toString()):'')) : ((k=true),m);
}else{
m = 'not found';
}
}else{
m = '';
}
}else if(!!com.res){
if(!!(m=_mk_idFromUrl(com.args.name))){
m=new RegExp('(<math[^>]+\sid\s*=\s*[\'"]?\s*\Q'+m+'\E[\s\'">].*?</math>)','ui');
m = !!(m=com.res.replace(/[\r\n]/ug, ' ').match(m))?m[1]:'not found';
}else{
m = 'error';
}
}else{
m = 'error';
}
com.cb({status:'completed',msg:{name:com.args.name, ext:com.args.ext, data:m, keepalive:k}});
})}, null, function(data){
var b='', a = null, n = '';
if(!!data.msg.name){
if('string' == typeof data.msg.data && 0==data.msg.data.indexOf('<math')){
var a = data.msg.data.replace(/<\/math>/uig,'</math>').split('</math>'), b = mkFrames[data.from].doc.implementation.createDocument(null,'math'); c = mkFrames[data.from].doc.createElement('declare');
c.innerHTML = a[0]+'</math>';
if(!!a[1]){c.mathKey=a[1]+'</math>'}
mk_setExt(data.msg.name, c.firstChild);
}else{
mk_setExt(data.msg.name, data.msg.data);
}
if(!!data.msg.data && 'error'!=data.msg.data && !!data.msg.ext){
b = input.value;
n = data.msg.ext.replace(/[-[\](){}*+?.,\\^$|]/ug, '\\$&');
a=new RegExp('"\s*'+n+'\s*"','ug');
if(!b.match(a)){
a=new RegExp('\\s*'+n+'\\s*','ug');
input.value = b.replace(a,'"'+data.msg.ext+'"');
}
}
}
});
if(!x){
delete ext[name];
mk_setExt(name, null, {status:'local'});
}
}
fn();
return 0;
}
if(2==mkDebug){
console.log(window.location.href);
console.log('render: '+mkUrl);
console.log(mkExt);
console.log(mkOrigin);
}
if('object'!=typeof output){
return mk.parseR('object'==typeof input?input.value:input.toString());
}
if(!output.firstChild){
output.appendChild(mk_createElementMML('span'));
}
var id = !!output.dataset.mkid ? output.dataset.mkid : output.dataset.mkid='amid'+Date.now();
fn = null;
fn = function(){
if(!!mkSync.mathKeyInput||!!mkSync.mathKeyTranslate){
mkSync[id]=2;
}else if(mkSync[id]==2){
mkSync[id]=0;
}
!!mkSync[id] ? window.setTimeout(fn,500) : ((mkSync[id]=1),(window.clearTimeout(mkToParseSo[id]||0),output.replaceChild(mk.parseR('object'==typeof input?input.value:input.toString()),output.firstChild)),(output.mathKey=output.firstChild.mathKey),mk_fallback(output),(mkToParseSo[id]=window.setTimeout(function(){ while(1<output.children.length){output.removeChild(output.lastChild);} (output.replaceChild(mk.parseR('object'==typeof input?input.value:input.toString()),output.firstChild)),(output.mathKey=output.firstChild.mathKey),(!!cb&&cb(output)),mk_fallback(output,true);},500)),(mkSync[id]=0));
return 0;
};
return !!(mkSync[id] ^ fn()) ? false : true;
};
mk.insertText = function(input, text, s0=null, s1=null, c=0){
// Most of the used APIs only work with the field selected
input.focus();
var start = null!==s0? input.selectionStart+s0:input.selectionStart;
var end = null!==s1?input.selectionStart+s1:input.selectionEnd;
input.value = input.value.substr(0,start)+text+input.value.substr(end);
input.setSelectionRange(start + text.length+c, start + text.length+c);
};
mk.processIO = (function(){
var wsd = {'\u200b':true,'\u200c':true}, isd = {'_':'\uff3f'};
return function(input, output, cb=null) {
if('object'!=typeof input){
return mk_parseSo(input,output,cb);
}
if(-1==input.className.indexOf('hasMathKey')){
input.className = !!input.className? input.className+' hasMathKey':'hasMathKey';
var mkd = mkDoc.createElement('div'), r = null, btop=0, click=false, cs = input.getBoundingClientRect();
input.style.backgroundPosition = (!!input.style.backgroundPosition?input.style.backgroundPosition+',':'')+'right bottom';
input.style.backgroundRepeat = (!!input.style.backgroundRepeat?input.style.backgroundRepeat+',':'')+'no-repeat';
input.style.backgroundImage = (!!input.style.backgroundImage?input.style.backgroundImage+',':'')+ 'url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAAaCAYAAACpSkzOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAK6wAACusBgosNWgAAABx0RVh0U29mdHdhcmUAQWRvYmUgRmlyZXdvcmtzIENTNXG14zYAAAAWdEVYdENyZWF0aW9uIFRpbWUAMTAvMjYvMTiaHFIxAAAByklEQVRIie2WUW/TMBSFv3sTO0lLyyp1PBQhAdoj//+PgNS3iWdUVaAONfFsXx6aVmWtxLKiCaT50c7xl2MfX1vMjOdo+iyUF9D/DfLeL6qqWvwtUHmus67reUrprZlRVVXoum51KejEUdM01zHGGzMrgCLGeDMaja4vBcnxga3r+k2M8WPOuQUQEcwMVa3Lsrxt2/bbU0EHR9PptIgxLnLOAVgCrZm1wDLnHGKMi/F4XFzkSFUxMymKojGzlFLqVPUTQM75S1EUlYgUZrYFLKU0GFRWVTUBrgCXc0ZE2qZpVoAB1HXtgXnOuQIQkXvv/fcQwmYQKMb4HhiLSOwnjymlH4D1++eAObuESq+5Aj4PAvWTJeArcKeqWUQCoCLCZDL5uV6vl+z285WZfRgCOIBExPpf7/ZpK8ty74TVaoWZBQBVdYCJyOC7pTyK9yGBqgq71MmD759csvaOfusMIdA0za2Z0bbtiehE8BgQ4HtxPh7YbrfdGUAWEVTVDwb1p1+cc81sNrsPIZxdHu99ds41McaHy/k4ENCKyOuU0rvNZpPYRfikdV1n+/oH3A0GOedWXdeNzcyJiPuTQFVjWZaDq7m8vIL+edAv4ZHow8JhvWcAAAAASUVORK5CYII=)';
input.addEventListener('mousemove',function(e){
var p = cs.right-cs.left;
if((cs.bottom-cs.top-28)<e.layerY && (p-28)<e.layerX && (p-14)>e.layerX ){
click=true;
this.style.cursor = 'pointer';
}else if(click){
this.style.cursor = 'text';
click = false;
}
});
input.addEventListener('click',function(e){
if(click){
window.location.href = 'https://mathkey.org/sh.htm?e='+mk_b64e(input.value);
console.log('click');
console.log(e);
}
});
}
input.addEventListener('keydown', function(e){
var del=false, pos = this.selectionStart, selection = null;
if(e.key==='Backspace'){
if(this.selectionStart===this.selectionEnd){
var c='';
selection = this.selectionStart;
while(input.value.length>++selection && '\u200c'==input.value.charAt(selection));
--selection;
while(-1<--selection && '\u200c'==input.value.charAt(selection)){
mk.insertText(input,'',-1);
del=true;
}
pos = this.selectionStart;
if(!!(c=isd[this.value.charAt(selection)])){
mk.insertText(input,'',-1);
mk.insertText(input,c);
input.setSelectionRange(pos, pos);
mk_parseSo(input, output, cb);
e.preventDefault();
e.stopPropagation();
return false;
}
c = pos = this.selectionStart;
while(-1<--selection && '\u200c'!=input.value.charAt(selection)){
if('\u200b'==input.value.charAt(selection)){
input.setSelectionRange(selection+1, selection+1);
mk.insertText(input,'',-1);
--pos;
}
}
if(c!=pos){
input.setSelectionRange(pos, pos);
}
pos=false;
(' '==this.value.charAt(this.selectionStart-1) || '^'==this.value.charAt(this.selectionStart-1))? del=true :pos = mk.checkR(this.value, this.selectionStart);
if(!del && false!==pos){
mk.insertText(input, '\u200c');
selection = this.selectionStart;
mk.insertText(input, '\u200b', pos-this.selectionStart, pos-this.selectionStart );
input.setSelectionRange(selection+1, selection+1);
mk_parseSo(input, output, cb);
e.preventDefault();
e.stopPropagation();
return false;
}
}
}else if('ArrowLeft'==e.key){
pos = selection = this.selectionStart;
while(0<selection && !!wsd[this.value.charAt(--selection)]);
if(selection==--pos){
selection=null;
}
}else if('ArrowRight'==e.key){
var len = this.value.length-1;
selection = this.selectionStart-1;
while(selection<len && !!wsd[this.value.charAt(++selection)]);
if(selection==pos){
selection=null;
}else if(selection<=len){
++selection;
}
}
if(null!=selection && 'Backspace'!=e.key){
input.setSelectionRange(selection, selection);
e.preventDefault();
e.stopPropagation();
}
});
input.addEventListener('keyup', function(e){
if(!!e.ctrlKey && !!conf.manage && conf.manage==e.key){
var r = this.getBoundingClientRect();
mk.management(mkSymbols,r.top);
}else if(!!e.ctrlKey && '\''==e.key){
window.location.href = 'https://mathkey.org/sh.htm?e='+mk_b64e(this.value);
}else if(((e.key.length==1 && e.key.charCodeAt(0)>31) || 'Backspace'==e.key || 'Enter'==e.key)&&(!e.ctrlKey || 'c'==e.key || 'v'==e.key || 'z'==e.key || 'y'==e.key)){
mk_parseSo(input, output, cb);
}
});
};
})();
var mk_compareSymbolInput = function(a,b){
return a.input===b.input?0:(a.input.toLowerCase()<b.input.toLowerCase()?-1:1);
};
var mk_extract = function(v, a, k=''){
if(!!k){k+='.';}
if('object' === typeof v && !Array.isArray(v)){
for(var i in v){
if('vinput'==i){
continue;
}
if(undefined===a[k+i]){
a[k+i] = ['object'===typeof v[i] ? (Array.isArray(v[i])?[[],'[]']:[{},null]):(!!v[i].charAt?['',null]:(!!v[i].toPrecision?('type'==i?[VAR,'"VAR"']:[0,null]):[false,'true, false'])),{}];
}
if('object' === typeof v[i] && !Array.isArray(v[i])){
mk_extract(v[i], a, k+i);
}else if('type'==i){
a[k+i][1][mkRdef[v[i]]] = true;
}else if((!!v[i].charAt && -1==i.indexOf('input') && -1==i.indexOf('output'))||v[i].toPrecision){
a[k+i][1][v[i]]=true;
}else if(!!a[k+i][0][1]){
a[k+i][1][a[k+i][0][1]]= true;
}else if(Array.isArray(v[i])){
try{
a[k+i][1][JSON.stringify(v[i])]=true;
}catch(e){
console.log(v[i]);
}
}
}
}
};
var mk_ckcopy = function(v){var k = mk_cloneSymbol(v); if(undefined!==k.type && undefined!==mkRdef[k.type]){k.type=mkRdef[k.type];} return k; };
mk.management = function(symbols, topx=-1, display=true){
var c='',ck='',j='',cksym=null, lb = null,lba=false, mkmng = conf.managementinterface, examples = {'!':'5!', '/':'1/2', "'":"f'", '(':'(x,y)', '{':'{x,y}', '[':'[{x},{y}]', '\\':'\\x,y/', '^':'x^2', '_':'x_i', '`':'x`y', 'bar':'barx', 'styleb':'styleby', 'stylebb':'stylebby', 'fontsf':'fontsfx', 'fontcal':'fontcaly', 'fontmono':'fontmonox', 'Conj':'Conj(x+y)', 'root':'root(x,y)', 'stackrel':'stackrel(x,y)'};
if(!conf.manage || !mkmng.html || !Array.isArray(mkmng.html) || 5>mkmng.html.length){
return;
}
if(!mkmng.style || 'object' !== typeof mkmng.style){
return;
}
if(!mkmng.rowcolor || !Array.isArray(mkmng.rowcolor) || undefined===mkmng.rowcolor[0] || undefined===mkmng.rowcolor[1]){
mkmng.rowcolor = ['#ffffff','#fcfcfc'];
}
if(!(lb=mkDoc.querySelector('#mathKeyLightBox'))){
lba = true;
lb = mkDoc.createElement('div');
lb.id = 'mathKeyLightBox';
for (c in mkmng.style){
lb.style[c.toString()] = mkmng.style[c];
}
window.addEventListener('keydown',function(e){
if('Escape'==e.key){
lb.style.display='none';
}
});
if(!mkCk){
mkCk = true;
ck = mkDoc.cookie.split(';');
for(c in ck){
if(0==ck[c].indexOf('mathKey=')){
try{
cksym=!!(c = decodeURIComponent(ck[c].slice(8, (j=ck[c].indexOf(';'))==-1?undefined:j)).trim())?JSON.parse(c):null;
}catch(err){
console.log('Could not decode '+ck[c]);
}
break;
}
}
if(!!cksym){
mkSym = cksym.map(mk_acopy);
for(c in cksym){
if(!!cksym[c].input){
if(!!cksym[c].type && undefined!==mkDef[cksym[c].type]){
cksym[c].type = mkDef[cksym[c].type];
}
(undefined!==(j=mkNames[cksym[c].input]))? ((undefined===cksym[c].type)? (mkSymbols[j]=null) : (mkSymbols[j] = cksym[c])) : mkSymbols.push(cksym[c]);
}
}
}
}
}
if(!!cksym){
mk.reInit();
}
ck = mkSymbols.map(mk_ckcopy);
if(!display && -1<topx){
if(0<topx){
cksym = ck.splice(topx,1);
}
ck.sort(mk_compareSymbolInput);
if(0<topx){
ck.unshift(cksym[0]);
}
if(!!lb.firstChild){
topx = lb.firstChild.style.top;
}
}else{
ck.sort(mk_compareSymbolInput);
}
cksym = JSON.stringify(ck).replace(/(?:^[\[\{ \t\n]+)|(?:[\]\} \t\n]+$)/ug,'').split(/\},[ ]*\{/u);
c = mkmng.rowcolor[0];
lb.innerHTML=mkmng.html[0]+mkmng.html[1]+ck.map(function(v,i){c=c==mkmng.rowcolor[0]?mkmng.rowcolor[1]:mkmng.rowcolor[0]; return mkmng.html[2].replace(/%MKROWCOLOR%/ug, c).replace(/%MKENTRY%/ug, cksym[i]).replace(/%MKDICT%/ug, examples[ck[i].vinput || ck[i].input] || ck[i].vinput || ck[i].input); }).join(mkmng.html[3]+mkmng.html[1])+mkmng.html[3]+mkmng.html[4];
mkFields = {};
for(c=-1;mkSymbols.length>++c;){
mk_extract(mkSymbols[c], mkFields);
}
mkFields._ = Object.keys(mkFields);
mkFields._.sort();
if(!!(c = mkDoc.querySelector('.mathKeyFields'))){
c.innerHTML = '<option value="" style="color:#ccc;">--fields--</option>'+mkFields._.map(function(v){return '<option value="'+v.replace(/"/ug,'')+'">'+v.replace(/[<>]/ug,'')+'</option>';}).join('');
}
delete mkFields._;
if(-1<topx){
lb.firstChild.style.top = topx+'px';
}
if(!!lba){
mkDoc.body.appendChild(lb);
}
if(!!display){
mk.translate('mathKeyTranslateDict');
lb.style.display = 'block';
if(-1<topx){
c = lb.firstChild.getBoundingClientRect();
lb.style.height=c.height+topx+20+'px';
}
}
};
mk.manageFieldData = function(){
var c = '', f = mkDoc.querySelector('.mathKeyFields'), x = mkDoc.querySelector('.mathKeyFex');
x.innerHTML='';
if(!!mkFields[f.value]){
if(!!(c = Object.keys(mkFields[f.value][1]).join(', '))){
x.innerHTML='<i>ex:</i>'+c;
}
}
};
mk.manageField = function(){
var c=null, f = mkDoc.querySelector('.mathKeyFields'), j=null, n='', p=null, q=mkDoc.querySelector('.mathKeyInput'), r = '';
if(!!f && !!f.value && !! mkFields[f.value] && !!q){
if(!!(r=q.value.trim())){
try{
j = JSON.parse(r);
}catch(e){
j=null;
}
}
if(!!j){
p = j;
f.value.split('.').filter(function(v){
n+=!!n?'.'+v:v;
if(undefined === p[v]){
p[v] = mkFields[n][0][0];
}
p=p[v];
});
q.value = JSON.stringify(j);
}else{
r = r.replace(/(?:^\{)|(?:[ ,}]+$)/,'').trim();
if(!!r){
r+=', ';
}
j = p = {};
f.value.split('.').filter(function(v){
n+=!!n?'.'+v:v;
if(undefined === p[v]){
p[v] = mkFields[n][0][0];
}
p=p[v];
});
q.value = '{'+r+JSON.stringify(j).replace(/^\{/u,'').replace(/\}$/u,'').trim()+'}';
}
}
};
mk.manageCopy = function(pn){
if(!!pn.firstChild){
mkDoc.querySelector('.mathKeyInput').value = pn.children[1].innerHTML;
mk.manageInput();
}
};
mk.manageDelete = function(pn){
if(!!pn.firstChild){
var c = null, j = -1;
try{
c = JSON.parse(pn.firstChild.innerHTML);
}catch(err){
console.log(err);
}
if(!!c){
if(undefined!==c.type && undefined!==mkDef[c.type]){
c.type = mkDef[c.type];
}
if(-1!=(j=mkSym.indexOf(c))){
mkSym.splice(j,1);
}
for(var i in mkSym){
if(c.input===mkSym[i].input){
mkSym.splice(i,1);
break;
}
}
delete c.type;
mkSym.push(c);
mk_setCk();
pn.parentNode.removeChild(pn);
mk.reInit();
mk.management(mkSymbols,j,false);
}
}
};
var mk_setCk = function(){
var d = new Date();
d.setTime(d.getTime() + (365*24*60*60*1000));
//document.cookie = 'mathKey=; expires=-1; path=/';
document.cookie = 'mathKey='+encodeURIComponent(JSON.stringify(mkSym))+'; expires=' + d.toUTCString()+ '; path=/';
};
mk.manageReset = function(){
document.cookie = 'mathKey=; expires=-1; path=/';
mkSym.splice(0)
mkSymbols=mkBak.map(function(v){return mk_cloneSymbol(v);});
mk.reInit();
mk.management(mkSymbols,0,false);
mk.translate('mathKeyTranslateDict');
};
mk.manageAdd = function(){
var c = mk.manageInput(), i, j = -1;
if(!!c && undefined!==c.type){
undefined!==(j=mkNames[c.input])? (mkSymbols[j] = c) : ((j=mkSymbols.length),mkSymbols.push(c));
for(i in mkSym){
if(mkSym[i].input==c.input){
mkSym.splice(i,1);
break;
}
}
mkSym.push(c);
mk_setCk();
mk.reInit();
mk.management(mkSymbols,j,false);
}
};
mk.manageInput = function(){
if(!!mkSync['mathKeyInput']){
if(true!==mkSync['mathKeyInput']){
window.clearTimeout(mkSync['mathKeyInput']);
}
false===mkSync['mathKeyInput']? mk.manageInput(): (mkSync['mathKeyInput']=window.setTimeout(mk.manageInput,1000));
return null;
}
mkSync['mathKeyInput'] = true;
var c = null, input = mkDoc.querySelector('.mathKeyInput'), output = mkDoc.querySelector('.mathKeyOutput');
if(input.value.trim().match(/^\{.*?\}$/u)){
try {
c = JSON.parse(input.value.trim());
}catch(err){
console.log(err);
}
if(!!c && !!c.input && undefined!==c.type && undefined!==c.output && undefined!==c.ptag && undefined!==mkDef[c.type]){
var i=-1,j=-1,k=[],o=null;
c.type=mkDef[c.type];
if(undefined==mkNames[c.input]){
mkNames[c.input] = mkSymbols.length;
mkSymbols.push(c);
j = c.input.length;
while(j>++i){
k.unshift(c.input.slice(-i));
if(!!mkRnames[k[0]]){
k.shift();
continue;
}
mkRnames[k[0]] = true;
}
}
o = mk.parseR(c.input);
if(j>-1){
delete mkNames[c.input];
mkSymbols.pop();
k.map(function(v){delete mkRnames[v];});
}
if(!!o){
if(!output.firstChild){
output.appendChild(mk_createElementMML('span'));
}
output.replaceChild(o,output.firstChild);
}else{
c = null;
}
}
}
mkSync['mathKeyInput'] = false;
return c;
};
var mkUpdateIO = null;
mk.updateIO = function(input=null, output=null, val=null, fn=null) {
if(!input && !!mkUpdateIO[0]){
input = mkUpdateIO[0];
output = mkUpdateIO[1];
fn = mkUpdateIO[2];
}
if('object'==typeof input){
input.focus();
if(null!==val){
mk.insertText(input, val);
}
mkUpdateIO = [input, output, fn];
}
mk_parseSo(input,output,fn);
};
var mk_translateOnStart = function(){
if(!!mkSync['mathKeyTranslate']){
return window.setTimeout(mk_translateOnStart,250);
}
mkDoc.readystate != 'loading'? mkDoc.dispatchEvent(new CustomEvent('mktranslate')) : (mkDoc.onreadystatechange = function(){if('interactive'==mkDoc.readyState){mkDoc.dispatchEvent(new CustomEvent('mktranslate'));}});
};
var mk_createElementMML = null;
mk.configure = function(cf={}, ini=false){
for(var i in cf){
if(undefined!==conf[i]){
conf[i] = 'document'==i ? cf[i] : mk_cloneSymbol(cf[i]);
}
}
return !!ini? (mk_fallbackCss(),true) : mk_init(cf,false);
};
var mk_init = function(cf=null,ini=true){
if(!!cf && !!ini){
mk.configure(cf, ini);
}
mkDoc = (!!conf.document && !!conf.document.body) ? conf.document : document;
if(!conf.management || 'object' !== typeof conf.managementinterface){
conf.managementinterface = mk_cloneSymbol(mkMng);
}
if(!mkConfigured){
if(!!mkDoc.createElementNS){
mk_createElementMML = function(t,df=null,xml=null) {
var node = (xml || mkDoc).createElementNS(mkMathns,t);
if (!!df){
node.appendChild(df);
}
node.removeAttribute('xmlns');
return node;
};
}else{
mk_createElementMML = function(t,df=null,xml=null) {
var node = (xml || mkDoc).createElement('m:'+t);
if (!!df) node.appendChild(df);
return node;
};
}
mk.getUserAgent();
}
mk.reInit();
(!!conf.checkformathml && !mkConfigured) ? mk_checkMathML() : (mkReady=true);
if(!mkConfigured){
mkConfigured = true;
mk.management(mkSymbols,-1,false);
mkDoc.addEventListener('mktranslate', function(){mk.translate(); }, false);
if (conf.translateonstart && !!mkReady) {
mk_translateOnStart();
}
}
return mk;
};
(function(){
var a = false, b = '', d = 'false', i, s = document.getElementsByTagName('script');
for(i in s){
if(!!s[i].src && s[i].src.match(/(?:^|\/)mathKey[^\/]*\.js[^\/]*$/) && undefined!=(a=s[i].dataset.mkAutostart)){
d = true;
break;
}else{
a='';
}
}
if(d){
b = a.toLowerCase().trim();
if(!!(d=a.trim()) && 'false'!==b && '0'!==b && 'true'!==b && typeof window[d] === 'function'){
window[d](mk);
}else if(!!d && 'false'!==b && '0'!==b){
mk_init();
}else{
window['mathKey'] = mk;
}
}
})();
return mk;
}));
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