phd-nass-rotating-3dof-model/js/siunitx.js
2019-01-18 17:18:02 +01:00

2 lines
32 KiB
JavaScript

MathJax.Extension["TeX/siunitx"]={version:"0.1.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){!function(){var a,b,c,d,e,f,g,h;a=function(){var a={},b=MathJax.InputJax.TeX,c=a.ValidationError=MathJax.Object.Subclass({Init:function(a,b,c,d){this._errormsg='ValidationError: Error validating "'+b+'" of "'+a.constructor+'" (a "'+c+'") to "'+d+'": ';for(var e=4;e<arguments.length;++e)this._errormsg+=arguments[e].toString();console.log(this._errormsg)},toString:function(){return this._errormsg}}),d=a.ValidationBase=MathJax.Object.Subclass({PropertyDescriptor:function(a,b){var c=this;return{get:function(){return c.Get(this,b)},set:function(a){c.Set(this,b,a)}}},Get:function(a,b){var c=a._values[b];return void 0!==c?c:this._default},Set:function(a,b,c){a._values[b]=this.Validate(a,b,c)},Validate:function(a,b,c){return c}}),e=a.Choice=d.Subclass({Init:function(){this._default=arguments[0];for(var a={},b=0;b<arguments.length;b++)a[arguments[b]]=!0;this._choices=a},Validate:function(a,b,d){if(!this._choices.hasOwnProperty(d))throw c(a,b,this,d,'must be one of ["'+Object.getOwnPropertyNames(this._choices).join('", "')+'"]');return d}}),f=(a.SwitchChoice=e.Subclass({Init:function(){this._switchchoice=arguments[1],e.prototype.Init.apply(this,arguments)},Validate:function(a,b,c){return void 0===c&&(c=this._switchchoice),e.prototype.Validate.call(this,a,b,c)}}),a.Integer=d.Subclass({Init:function(a){void 0===a&&(a=0),this._default=a},Validate:function(a,b,d){if(d=parseInt(d),!Number.isInteger(d))throw c(a,b,this,d,"must be an integer");return d}}),a.Literal=d.Subclass({Init:function(a){this._default=a},Validate:function(a,b,c){return c}}));a.TeXParsedLiteral=f.Subclass({Init:function(a){this._default=a},Get:function(a,c){return val=arguments.callee.SUPER.Get.call(this,a,c),b.Parse("\\text{"+val+"}").mml()}}),a.Math=f.Subclass({}),a.Length=d.Subclass({Init:function(a){this._default=a},Validate:function(a,b,c){return c}}),a.Macro=d.Subclass({Init:function(a){this._default=a},Validate:function(a,b,c){return c}}),a.Switch=d.Subclass({Init:function(a){void 0===a&&(a=!1),this._default=a},Validate:function(a,b,d){if(void 0===d&&(d=!0),("string"==typeof d||d instanceof String)&&(d=d.toLowerCase(),"true"==d?d=!0:"false"==d&&(d=!1)),d!==!0&&d!==!1)throw c(a,b,this,d,"must be a boolean");return d}}),a.ConfigData=MathJax.Object.Subclass({Init:function(a){this._values={},void 0!=a&&this.SetMany(a)},Set:function(a,b){if(void 0===this._options[a])throw TypeError(this.constructor+' has no attribute named "'+a+'"');this[a]=b},SetMany:function(a){for(var b in a)this.Set(b,a[b])},Derived:function(a){var b=this.constructor();return b._values.__proto__=this._values.__proto__,void 0!=a&&b.SetMany(a),b},listSettings:function(a,b){void 0===b&&(b=",\n");var c=[];for(var d in this._options)a&&!this._values.hasOwnProperty(d)||c.push(d+" = "+this[d]);return c.join(b)}},{Define:function(a){var b=this.Subclass({_options:a});b.ParseOptions=this.ParseOptions;for(var c in a)Object.defineProperty(b.prototype,c,a[c].PropertyDescriptor(b,c));return b},ParseOptions:function(a){var c={};if(a=a.trim(),!a)return this(c);for(var d=a.split(","),e=0,f=d.length;e<f;++e){var g=d[e].split("="),h=g[0].trim();if(h||b.Error('Empty key in "'+a+'"'),g.length<2)c[h]=void 0;else{for(var i=g.slice(1).join("="),j=0,k=-1;;){for(;;){var l=k+1,m=i.indexOf("{",l),n=i.indexOf("}",l);if(k=n>=0&&(n<m||m==-1)?n:m,k<0)break;k>0&&"\\"==i[k-1]||("}"==i[k]?(j--,j<0&&b.Error('Too many closing braces in "'+a+'"')):j++)}if(!j)break;k=i.length,e++,e>=f&&b.Error('Not enough closing braces in "'+a+'"'),i+=","+d[e]}i=i.trim(),"{"==i[0]&&"}"==i[i.length-1]&&(i=i.slice(1,-1)),c[h]=i}}return this(c)}});return a}(),b=function(a){var b=a.ConfigData,c=a.Switch,d=a.SwitchChoice,e=a.Choice,f=a.Literal,g=a.Macro,h=a.Integer,i=a.Math,j=a.TeXParsedLiteral,k=b.Define({"detect-display-math":c(),"detect-family":c(),"detect-inline-family":e("text","math"),"detect-inline-weight":e("text","math"),"detect-mode":c(),"detect-shape":c(),"detect-weight":c(),color:f(""),"math-rm":g("\\mathrm"),"math-sf":g("\\mathsf"),"math-tt":g("\\mathtt"),mode:e("math","text"),"text-rm":g("\\rmfamily"),"text-sf":g("\\sffamily"),"text-tt":g("\\ttfamily"),"unit-color":f(""),"unit-math-rm":g("\\mathrm"),"unit-math-sf":g("\\mathsf"),"unit-math-tt":g("\\mathtt"),"unit-mode":e("math","text"),"unit-text-rm":g("\\rmfamily"),"unit-text-sf":g("\\sffamily"),"unit-text-tt":g("\\ttfamily"),"number-color":f(""),"number-math-rm":g("\\mathrm"),"number-math-sf":g("\\mathsf"),"number-math-tt":g("\\mathtt"),"number-mode":e("math","text"),"number-text-rm":g("\\rmfamily"),"number-text-sf":g("\\sffamily"),"number-text-tt":g("\\ttfamily"),"input-close-uncertainty":f(")"),"input-comparators":f("<=>\\approx\\ge\\geq\\gg\\le\\leq\\ll\\sim"),"input-complex-roots":f("ij"),"input-decimal-markers":f(",."),"input-digits":f("0123456789"),"input-exponent-markers":f("dDeE"),"input-ignore":f(""),"input-open-uncertainty":f("("),"input-protect-tokens":f("\\approx\\dots\\ge\\geq\\gg\\le\\leq\\ll\\mp\\pi\\pm\\sim"),"input-signs":f("+-\\pm\\mp"),"input-uncertainty-signs":f("\\pm"),"input-symbols":f("\\pi\\dots"),"parse-numbers":c(!0),"add-decimal-zero":c(!0),"add-integer-zero":c(!0),"explicit-sign":f(""),"fixed-exponent":h(),"minimum-integer-digits":h(),"omit-uncertainty":c(),"retain-explicit-plus":c(),"retain-unity-mantissa":c(!0),"retain-zero-exponent":c(),"round-half":e("up","even"),"round-integer-to-decimal":c(),"round-minimum":f("0"),"round-mode":e("off","figures","places"),"round-precision":h(2),"scientific-notation":d("false","true","fixed","engineering"),"zero-decimal-to-integer":c(),"bracket-negative-numbers":c(),"bracket-numbers":c(!0),"close-bracket":f(")"),"complex-root-position":e("after-number","before-number"),"copy-complex-root":c(!1),"copy-decimal-marker":c(!1),"exponent-base":f("10"),"exponent-product":i("\\times"),"group-digits":e("true","false","decimal","integer"),"group-minimum-digits":h(5),"group-separator":f("\\,"),"negative-color":f(""),"open-bracket":f("("),"output-close-uncertainty":f(")"),"output-complex-root":f("\\mathrm{i}"),"output-decimal-marker":f("."),"output-exponent-marker":f(""),"output-open-uncertainty":f("("),"separate-uncertainty":c(!1),"tight-spacing":c(!1),"uncertainty-separator":f(""),"fraction-function":g("\\frac"),"input-product":f("x"),"input-quotient":f("/"),"output-product":i("\\times"),"output-quotient":f("/"),"quotient-mode":e("symbol","fraction"),"list-final-separator":f(" and "),"list-pair-separator":f(" and "),"list-separator":f(", "),"range-phrase":j(" to "),"add-arc-degree-zero":c(!1),"add-arc-minute-zero":c(!1),"add-arc-second-zero":c(!1),"angle-symbol-over-decimal":c(!1),"arc-separator":f(!1),"number-angle-product":f(""),"free-standing-units":c(!1),"overwrite-functions":c(!1),"space-before-unit":c(!1),"unit-optional-argument":c(!1),"use-xspace":c(!1),abbreviations:c(!0),"binary-units":c(),"bracket-unit-denominator":c(!0),"forbid-literal-units":c(!1),"literal-superscript-as-power":c(!0),"inter-unit-product":f("\\,"),"parse-units":c(!0),"per-mode":e("reciprocal","reciprocal-positive-first","symbol","repeated-symbol","fraction","symbol-or-fraction"),"per-symbol":f("/"),"power-font":e("number","unit"),"prefixes-as-symbols":c(!0),"qualifier-mode":e("subscript","brackets","phrase","space","text"),"sticky-per":c(!1),"allow-number-unit-breaks":c(!1),"exponent-to-prefix":c(!1),"list-units":e("repeat","brackets","single"),"multi-part-units":e("brackets","repeat","single"),"number-unit-product":f("\\,"),"product-units":e("repeat","brackets","brackets-power","power","single"),"range-units":e("repeat","brackets","single")});return k}(a),c=function(){function a(a,b){var c=[];for(var d in b){var e=b[d];c.push({name:d,category:a,symbol:e[0],abbrev:e[1]})}return c}function b(a){var b=k[a],c="";if(void 0===b){if(b=k[a.slice(1)],void 0===b)return void console.log("cannot parse abbreviation",a);if(c=j[a[0]],void 0===c)return void console.log("cannot parse prefix ",a[0]," on unit ",b," (",a,")");c="\\"+c}return c+="\\"+b}var c={},d=MathJax.ElementJax.mml,e=c.UNITSMACROS={per:["Per",-1],square:["PowerPfx",2],cubic:["PowerPfx",3],raiseto:["PowerPfx",void 0],squared:["PowerSfx",2],cubed:["PowerSfx",3],tothe:["PowerSfx",void 0],meter:["Macro","\\metre"],deka:["Macro","\\deca"],celsius:["Macro","\\degreeCelsius"],kg:["Macro","\\kilogram"],amu:["Macro","\\atomicmassunit"],kWh:["Macro","\\kilo\\watt\\hour"],of:"Of",cancel:"Unsupported",highlight:"Highlight"},f=MathJax.Extension["TeX/siunitx"].SIPrefixes=c.SIPrefixes=function(a){var b={};for(var c in a){var d=a[c];b[c]={name:c,power:d[0],abbrev:d[1],pfx:d.length>=3?d[2]:d[1]}}return b}({yocto:[-24,"y"],zepto:[-21,"z"],atto:[-18,"a"],femto:[-15,"f"],pico:[-12,"p"],nano:[-9,"n"],micro:[-6,"u",d.entity("#x03bc")],milli:[-3,"m"],centi:[-2,"c"],deci:[-1,"d"],deca:[1,"da"],hecto:[2,"h"],kilo:[3,"k"],mega:[6,"M"],giga:[9,"G"],tera:[12,"T"],peta:[15,"P"],exa:[18,"E"],zetta:[21,"Z"],yotta:[24,"Y"]});for(var g in f)g=f[g],e[g.name]=["SIPrefix",g];var h=MathJax.Extension["TeX/siunitx"].SIUnits=c.SIUnits=function(a){var b={};return a.forEach(function(a){b[a.name]=a}),b}([].concat(a("SI base",{ampere:["A","A"],candela:["cd"],kelvin:["K","K"],kilogram:["kg"],gram:["g","g"],metre:["m","m"],mole:["mol","mol"],second:["s","s"]}),a("coherent derived",{becquerel:["Bq"],degreeCelsius:[d.entity("#x2103")],coulomb:["C"],farad:["F","F"],gray:["Gy"],hertz:["Hz","Hz"],henry:["H"],joule:["J","J"],katal:["kat"],lumen:["lm"],lux:["lx"],newton:["N","N"],ohm:[d.entity("#x03a9"),"ohm"],pascal:["Pa","Pa"],radian:["rad"],siemens:["S"],sievert:["Sv"],steradian:["sr"],tesla:["T"],volt:["V","V"],watt:["W","W"],weber:["Wb"]}),a("accepted non-SI",{day:["d"],degree:[d.entity("#x00b0")],hectare:["ha"],hour:["h"],litre:["l","l"],liter:["L","L"],arcminute:[d.entity("#x2032")],minute:["min"],arcsecond:[d.entity("#x2033")],tonne:["t"]}),a("experimental non-SI",{astronomicalunit:["ua"],atomicmassunit:["u"],bohr:[d.msub(d.mi(d.chars("a")).With({mathvariant:d.VARIANT.NORMAL}),d.mn(0))],clight:["c0"],dalton:["Da"],electronmass:["me"],electronvolt:["eV","eV"],elementarycharge:["e"],hartree:["Eh"],planckbar:[d.entity("#x0127")]}),a("other non-SI",{angstrom:[d.entity("#x212b")],bar:["bar"],barn:["b"],bel:["B"],decibel:["dB","dB"],knot:["kn"],mmHg:["mmHg"],nauticmile:[";"],neper:["Np"]})));h.percent={name:"percent",symbol:"%",category:"non-unit",abbrev:void 0};for(var i in h)i=h[i],e[i.name]=["SIUnit",i];var j={};for(var g in f)g=f[g],g.abbrev&&(j[g.abbrev]=g.name);var k={};for(var i in h)i=h[i],i.abbrev&&(k[i.abbrev]=i.name);return["fg pg ng ug mg g","pm nm um mm cm dm m km","as fs ps ns us ms s","fmol pmol nmol umol mmol mol kmol","pA nA uA mA A kA","ul ml l hl uL mL L hL","mHz Hz kHz MHz GHz THz","mN N kN MN","Pa kPa MPa GPa","mohm kohm Mohm","pV nV uV mV V kV","uW mW W kW MW GW","J kJ","meV eV keV MeV GeV TeV","fF pF F","K","dB"].forEach(function(a){a.split(" ").forEach(function(a){e[a]=["Macro",b(a)]})}),c}(),d=function(a){var b=MathJax.InputJax.TeX,c=b.Stack,d=c.Item,e=MathJax.ElementJax.mml,f=a.UNITSMACROS,g=MathJax.Extension["TeX/siunitx"].SIUnitParser=b.Parse.Subclass({Init:function(a,b,c){this.cur_prefix=void 0,this.cur_pfxpow=void 0,this.per_active=!1,this.has_literal=!1,this.literal_chars="",this.units=[],this.options=b,arguments.callee.SUPER.Init.call(this,a,c)},mml:function(){if(!this.has_literal){var a=b.Stack({},!0),c=this.options["per-mode"],f=this,g=[],h=[],i=[];if(this.units.forEach(function(a){var b=void 0===a.power?1:a.power;a.inverse&&(b=-b),b>0?h.push(a):i.push(a),g.push(a)}),"reciprocal"!==c&&i.length)if("symbol"===c)if(h.forEach(function(b){a.Push(f.UnitMML(b))}),a.Push(this.mmlToken(e.mo(e.chars(this.options["per-symbol"]).With({fence:!1,stretchy:!1})))),1===i.length){var j=i[0];j.inverse=!1,a.Push(this.UnitMML(j))}else a.Push(this.mmlToken(e.mo(e.chars("(").With({fence:!1,stretchy:!1})))),i.forEach(function(b){b.inverse=!1,a.Push(f.UnitMML(b))}),a.Push(this.mmlToken(e.mo(e.chars(")").With({fence:!1,stretchy:!1}))));else if("fraction"===c){var k=b.Stack({},!0),l=b.Stack({},!0);h.forEach(function(a){k.Push(f.UnitMML(a))}),i.forEach(function(a){a.inverse=!1,l.Push(f.UnitMML(a))}),k.Push(d.stop()),l.Push(d.stop()),a.Push(e.mfrac(k.Top().data[0],l.Top().data[0]))}else b.Error("Unimplemented per-mode "+c);else g.forEach(function(b){a.Push(f.UnitMML(b))});return a.Push(d.stop()),"mml"!==a.Top().type?null:a.Top().data[0]}return"mml"!==this.stack.Top().type?null:this.stack.Top().data[0]},Push:function(){this.finishLiteralUnit();for(var a=0;a<arguments.length;a++){var b=arguments[a];b instanceof d.stop||(this.has_literal=!0),this.stack.Push.call(this.stack,b)}},PushUnitFallBack:function(){this.stack.Push.apply(this.stack,arguments)},csFindMacro:function(a){this.finishLiteralUnit();var b=f[a];return b?b:arguments.callee.SUPER.csFindMacro.call(this,a)},Variable:function(a){this.literal_chars+=a},Number:function(a){return"."==a?this.finishLiteralUnit():void arguments.callee.SUPER.Number.call(this,a)},Tilde:function(a){this.finishLiteralUnit()},Superscript:function(a){this.finishLiteralUnit(),arguments.callee.SUPER.Superscript.call(this,a)},Subscript:function(a){this.finishLiteralUnit(),arguments.callee.SUPER.Subscript.call(this,a)},Unsupported:function(){},Of:function(a){var c=this.GetArgument(a);this.has_literal&&b.Error(["SIunitx","NotImplementedYet"]),this.units.length||b.Error(["SIunitx","Qualification suffix with no unit"]);var d=this.units[this.units.length-1];void 0!==d.power&&b.Error(["SIunitx","double qualification",d.qual,c]),d.qual=c},Highlight:function(a){var b=this.GetArgument(a);this.cur_highlight=b},Per:function(a){return this.per_active?void b.Error(["SIunitx","double \\per"]):void(this.per_active=!0)},PowerPfx:function(a,c){void 0===c&&(c=this.GetArgument(a)),this.cur_pfxpow&&b.Error(["SIunitx","double power prefix",this.cur_pfxpow,c]),this.cur_pfxpow=c},PowerSfx:function(a,c){void 0===c&&(c=this.GetArgument(a)),this.has_literal&&b.Error(["SIunitx","NotImplementedYet"]),this.units.length||b.Error(["SIunitx","Power suffix with no unit"]);var d=this.units[this.units.length-1];void 0!==d.power&&b.Error(["SIunitx","double power",d.power,c]),d.power=c},SIPrefix:function(a,c){this.cur_prefix&&b.Error(["SIunitx","double SI prefix",this.cur_prefix,c]),this.cur_prefix=c},UnitMML:function(a){var b=[];a.prefix&&(b=b.concat(a.prefix.pfx)),b=b.concat(a.unit.symbol);var c="",d=[];b.forEach(function(a){"string"==typeof a||a instanceof String?c+=a:(c&&(d.push(e.chars(c)),c=""),d.push(a))}),c&&d.push(e.chars(c));var f={mathvariant:e.VARIANT.NORMAL},g=e.mi.apply(e.mi,d).With(f),h=void 0===a.power?1:a.power;return a.inverse&&(h=-h),1!=h?g=void 0===a.qual?e.msup(g,e.mn(h)):e.msubsup(g,e.mtext(a.qual),e.mn(h)):void 0!==a.qual&&(g=e.msub(g,e.mtext(a.qual))),this.mmlToken(g)},SIUnit:function(a,b){this.pushUnit(b)},finishLiteralUnit:function(){this.literal_chars&&(this.pushUnit({symbol:this.literal_chars,name:void 0,category:"literal",abbrev:this.literal_chars}),this.literal_chars="")},pushUnit:function(a){this.units.push({unit:a,prefix:this.cur_prefix,power:this.cur_pfxpow,inverse:this.per_active,qual:void 0});var b=[];this.cur_prefix&&(b=b.concat(this.cur_prefix.pfx)),b=b.concat(a.symbol);var c="",d=[];b.forEach(function(a){"string"==typeof a||a instanceof String?c+=a:(c&&(d.push(e.chars(c)),c=""),d.push(a))}),c&&d.push(e.chars(c));var f={mathvariant:e.VARIANT.NORMAL};this.PushUnitFallBack(this.mmlToken(e.mi.apply(e.mi,d).With(f))),this.cur_prefix=void 0,this.cur_pfxpow=void 0,this.options["sticky-per"]||(this.per_active=!1)}});return g}(c),e=function(){"use strict";function a(a,b){function c(){this.constructor=a}c.prototype=b.prototype,a.prototype=new c}function b(a,c,d,e){this.message=a,this.expected=c,this.found=d,this.location=e,this.name="SyntaxError","function"==typeof Error.captureStackTrace&&Error.captureStackTrace(this,b)}function c(a){function c(){return a.substring(s,r)}function d(b){var c,d,e=t[b];if(e)return e;for(c=b-1;!t[c];)c--;for(e=t[c],e={line:e.line,column:e.column,seenCR:e.seenCR};c<b;)d=a.charAt(c),"\n"===d?(e.seenCR||e.line++,e.column=1,e.seenCR=!1):"\r"===d||"\u2028"===d||"\u2029"===d?(e.line++,e.column=1,e.seenCR=!0):(e.column++,e.seenCR=!1),c++;return t[b]=e,e}function e(a,b){var c=d(a),e=d(b);return{start:{offset:a,line:c.line,column:c.column},end:{offset:b,line:e.line,column:e.column}}}function f(a){r<u||(r>u&&(u=r,v=[]),v.push(a))}function g(a,c,d,e){function f(a){var b=1;for(a.sort(function(a,b){return a.description<b.description?-1:a.description>b.description?1:0});b<a.length;)a[b-1]===a[b]?a.splice(b,1):b++}function g(a,b){function c(a){function b(a){return a.charCodeAt(0).toString(16).toUpperCase()}return a.replace(/\\/g,"\\\\").replace(/"/g,'\\"').replace(/\x08/g,"\\b").replace(/\t/g,"\\t").replace(/\n/g,"\\n").replace(/\f/g,"\\f").replace(/\r/g,"\\r").replace(/[\x00-\x07\x0B\x0E\x0F]/g,function(a){return"\\x0"+b(a)}).replace(/[\x10-\x1F\x80-\xFF]/g,function(a){return"\\x"+b(a)}).replace(/[\u0100-\u0FFF]/g,function(a){return"\\u0"+b(a)}).replace(/[\u1000-\uFFFF]/g,function(a){return"\\u"+b(a)})}var d,e,f,g=new Array(a.length);for(f=0;f<a.length;f++)g[f]=a[f].description;return d=a.length>1?g.slice(0,-1).join(", ")+" or "+g[a.length-1]:g[0],e=b?'"'+c(b)+'"':"end of input","Expected "+d+" but "+e+" found."}return null!==c&&f(c),new b(null!==a?a:g(c,d),c,d,e)}function h(a){var b,c=new Array(a.length);for(b=0;b<a.length;b++)c[b]=a.charCodeAt(b)-32;return c}function i(b){for(var c,d,e=q[b],g=0,h=[],j=e.length,k=[],l=[];;){for(;g<j;)switch(e[g]){case 0:l.push(p[e[g+1]]),g+=2;break;case 1:l.push(void 0),g++;break;case 2:l.push(null),g++;break;case 3:l.push(m),g++;break;case 4:l.push([]),g++;break;case 5:l.push(r),g++;break;case 6:l.pop(),g++;break;case 7:r=l.pop(),g++;break;case 8:l.length-=e[g+1],g+=2;break;case 9:l.splice(-2,1),g++;break;case 10:l[l.length-2].push(l.pop()),g++;break;case 11:l.push(l.splice(l.length-e[g+1],e[g+1])),g+=2;break;case 12:l.push(a.substring(l.pop(),r)),g++;break;case 13:k.push(j),h.push(g+3+e[g+1]+e[g+2]),l[l.length-1]?(j=g+3+e[g+1],g+=3):(j=g+3+e[g+1]+e[g+2],g+=3+e[g+1]);break;case 14:k.push(j),h.push(g+3+e[g+1]+e[g+2]),l[l.length-1]===m?(j=g+3+e[g+1],g+=3):(j=g+3+e[g+1]+e[g+2],g+=3+e[g+1]);break;case 15:k.push(j),h.push(g+3+e[g+1]+e[g+2]),l[l.length-1]!==m?(j=g+3+e[g+1],g+=3):(j=g+3+e[g+1]+e[g+2],g+=3+e[g+1]);break;case 16:l[l.length-1]!==m?(k.push(j),h.push(g),j=g+2+e[g+1],g+=2):g+=2+e[g+1];break;case 17:k.push(j),h.push(g+3+e[g+1]+e[g+2]),a.length>r?(j=g+3+e[g+1],g+=3):(j=g+3+e[g+1]+e[g+2],g+=3+e[g+1]);break;case 18:k.push(j),h.push(g+4+e[g+2]+e[g+3]),a.substr(r,p[e[g+1]].length)===p[e[g+1]]?(j=g+4+e[g+2],g+=4):(j=g+4+e[g+2]+e[g+3],g+=4+e[g+2]);break;case 19:k.push(j),h.push(g+4+e[g+2]+e[g+3]),a.substr(r,p[e[g+1]].length).toLowerCase()===p[e[g+1]]?(j=g+4+e[g+2],g+=4):(j=g+4+e[g+2]+e[g+3],g+=4+e[g+2]);break;case 20:k.push(j),h.push(g+4+e[g+2]+e[g+3]),p[e[g+1]].test(a.charAt(r))?(j=g+4+e[g+2],g+=4):(j=g+4+e[g+2]+e[g+3],g+=4+e[g+2]);break;case 21:l.push(a.substr(r,e[g+1])),r+=e[g+1],g+=2;break;case 22:l.push(p[e[g+1]]),r+=p[e[g+1]].length,g+=2;break;case 23:l.push(m),0===w&&f(p[e[g+1]]),g+=2;break;case 24:s=l[l.length-1-e[g+1]],g+=2;break;case 25:s=r,g++;break;case 26:for(c=e.slice(g+4,g+4+e[g+3]),d=0;d<e[g+3];d++)c[d]=l[l.length-1-c[d]];l.splice(l.length-e[g+2],e[g+2],p[e[g+1]].apply(null,c)),g+=4+e[g+3];break;case 27:l.push(i(e[g+1])),g+=2;break;case 28:w++,g++;break;case 29:w--,g++;break;default:throw new Error("Invalid opcode: "+e[g]+".")}if(!(k.length>0))break;j=k.pop(),g=h.pop()}return l[0]}function j(a,b){if(b<1)return"";for(var c="";b>1;)1&b&&(c+=a),b>>=1,a+=a;return c+a}var k,l=arguments.length>1?arguments[1]:{},m={},n={start:0},o=0,p=[function(a){return a},{type:"other",description:"complex root"},function(a){return l["input-complex-roots"].indexOf(a)>=0},function(a){return a},{type:"other",description:"decimal marker"},function(a){return l["input-decimal-markers"].indexOf(a)>=0},{type:"other",description:"exponent marker"},function(a){return l["input-exponent-markers"].indexOf(a)>=0},{type:"any",description:"any character"},function(a,b){var c=[a];return b.forEach(function(a){c.push(a[1])}),c},"x",{type:"literal",value:"x",description:'"x"'},function(a){return a},"/",{type:"literal",value:"/",description:'"/"'},function(a,b){return{num:a,denom:b&&b[3]}},function(a,b,c){return b.exp=c&&c[1],b.rel=a&&a[0],b},function(a,b,c){var d={sign:b&&b[0],exp:c,rel:a&&a[0]};return d},function(a,b){var c=a[0]&&a[0][0];a=a[1],a.sign=c;var d=b&&b[1];return b=b&&b[3],b&&(b.sign=d),{re:a,im:b}},function(a,b){return b.sign=a&&a[0],{re:b}},function(a,b,c){var d=b.frac.length,e=c.frac.length;return b.frac=b.frac+j("0",Math.max(0,e-d)),c.frac=c.frac+j("0",Math.max(0,d-e)),b.uncert=c["int"]+c.frac,b.sign=a&&a[0],{re:b}},function(a,b){return a.root=b,a},function(a,b){return b.root=a,b},function(a,b){return b.sign=a&&a[0],b},/^[+\-]/,{type:"class",value:"[+-]",description:"[+-]"},function(){return c()},"+-",{type:"literal",value:"+-",description:'"+-"'},"\\pm",{type:"literal",value:"\\pm",description:'"\\\\pm"'},function(){return"\\pm"},"-+",{type:"literal",value:"-+",description:'"-+"'},"\\mp",{type:"literal",value:"\\mp",description:'"\\\\mp"'},function(){return"\\mp"},"<<",{type:"literal",value:"<<",description:'"<<"'},"\\ll",{type:"literal",value:"\\ll",description:'"\\\\ll"'},function(){return"\\ll"},"<",{type:"literal",value:"<",description:'"<"'},function(){return"<"},"<=",{type:"literal",value:"<=",description:'"<="'},"\\le",{type:"literal",value:"\\le",description:'"\\\\le"'},"q",{type:"literal",value:"q",description:'"q"'},function(){return"\\le"},">>",{type:"literal",value:">>",description:'">>"'},"\\gg",{type:"literal",value:"\\gg",description:'"\\\\gg"'},function(){return"\\gg"},">",{type:"literal",value:">",description:'">"'},function(){return">"},">=",{type:"literal",value:">=",description:'">="'},"\\ge",{type:"literal",value:"\\ge",description:'"\\\\ge"'},function(){return"\\ge"},"(",{type:"literal",value:"(",description:'"("'},")",{type:"literal",value:")",description:'")"'},function(a,b){return b=b&&b[3],a.uncert=b,a},{type:"other",description:"decimal"},function(a,b){var c=b&&b[1],d=b&&b[2]&&b[2][1];return{"int":a,sep:c,frac:d||""}},function(a,b){return{"int":"",sep:a,frac:b}},{type:"other",description:"integer"},function(){return parseInt(c(),10)},/^[0-9]/,{type:"class",value:"[0-9]",description:"[0-9]"},function(){return c()},{type:"other",description:"whitespace"},/^[ \t\n\r]/,{type:"class",value:"[ \\t\\n\\r]",description:"[ \\t\\n\\r]"}],q=[h("%;D/:#;%/1$;D/($8#: #!!)(#'#(\"'#&'#"),h('<%;$/<#9:" ! -""&!&#/($8":#"!!)("\'#&\'#=." 7!'),h('<%;$/<#9:% ! -""&!&#/($8":#"!!)("\'#&\'#=." 7$'),h('<%;$/<#9:\' ! -""&!&#/($8":#"!!)("\'#&\'#=." 7&'),h('1""5!7('),h('%;\'/_#$%;D/,#;&/#$+")("\'#&\'#06*%;D/,#;&/#$+")("\'#&\'#&/)$8":)""! )("\'#&\'#'),h("%2*\"\"6*7+/:#;D/1$;'/($8#:,#! )(#'#(\"'#&'#"),h('%;(/b#%;D/D#2-""6-7./5$;D/,$;(/#$+$)($\'#(#\'#("\'#&\'#." &"/)$8":/""! )("\'#&\'#'),h(";*.# &;)"),h('%%;=/,#;D/#$+")("\'#&\'#." &"/T#;+/K$%;D/,#;2/#$+")("\'#&\'#." &"/*$8#:0##"! )(#\'#("\'#&\'#'),h('%%;=/,#;D/#$+")("\'#&\'#." &"/T#%;6/,#;D/#$+")("\'#&\'#." &"/3$;2/*$8#:1##"! )(#\'#("\'#&\'#'),h(";,.) &;..# &;-"),h('%%%;6/,#;D/#$+")("\'#&\'#." &"/,#;>/#$+")("\'#&\'#/W#%;D/>#;6/5$;D/,$;//#$+$)($\'#(#\'#("\'#&\'#/)$8":2""! )("\'#&\'#'),h('%%;6/,#;D/#$+")("\'#&\'#." &"/2#;>/)$8":3""! )("\'#&\'#'),h("%%;6/,#;D/#$+\")(\"'#&'#.\" &\"/W#;?/N$;D/E$;4/<$;D/3$;?/*$8&:4&#%$ )(&'#(%'#($'#(#'#(\"'#&'#"),h(";0.# &;1"),h("%;>/;#;D/2$;!/)$8#:5#\"\" )(#'#(\"'#&'#"),h("%;!/;#;D/2$;>/)$8#:6#\"\" )(#'#(\"'#&'#"),h("%;#/\\#;D/S$%;3/,#;D/#$+\")(\"'#&'#.\" &\"/2$;?/)$8$:7$\"! )($'#(#'#(\"'#&'#"),h('%48""5!79/& 8!::! )'),h('%2;""6;7<.) &2=""6=7>/& 8!:?! )'),h('%2@""6@7A.) &2B""6B7C/& 8!:D! )'),h(";4.) &;5.# &;3"),h('%2E""6E7F.) &2G""6G7H/& 8!:I! )'),h('%2J""6J7K/& 8!:L! )'),h('%2M""6M7N.G &%2O""6O7P/7#2Q""6Q7R." &"/#$+")("\'#&\'#/& 8!:S! )'),h('%2T""6T7U.) &2V""6V7W/& 8!:X! )'),h('%2Y""6Y7Z/& 8!:[! )'),h('%2\\""6\\7].G &%2^""6^7_/7#2Q""6Q7R." &"/#$+")("\'#&\'#/& 8!:`! )'),h(";7.; &;9.5 &;8./ &;:.) &;<.# &;;"),h('%;?/z#%;D/\\#2a""6a7b/M$;D/D$;C/;$;D/2$2c""6c7d/#$+&)(&\'#(%\'#($\'#(#\'#("\'#&\'#." &"/)$8":e""! )("\'#&\'#'),h('<;@.# &;A=." 7f'),h('%;C/k#%;D/M#;"/D$%;D/,#;C/#$+")("\'#&\'#." &"/#$+#)(#\'#("\'#&\'#." &"/)$8":g""! )("\'#&\'#'),h('%;"/;#;D/2$;C/)$8#:h#"" )(#\'#("\'#&\'#'),h('<%;C/& 8!:j! )=." 7i'),h('%$4k""5!7l/,#0)*4k""5!7l&&&#/& 8!:m! )'),h('<$4o""5!7p0)*4o""5!7p&=." 7n')],r=0,s=0,t=[{line:1,column:1,seenCR:!1}],u=0,v=[],w=0;if("startRule"in l){if(!(l.startRule in n))throw new Error("Can't start parsing from rule \""+l.startRule+'".');o=n[l.startRule]}if(k=i(o),k!==m&&r===a.length)return k;throw k!==m&&r<a.length&&f({type:"end",description:"end of input"}),g(null,v,u<a.length?a.charAt(u):null,u<a.length?e(u,u+1):e(u,u))}return a(b,Error),{SyntaxError:b,parse:c}}(),f=function(){function a(a){for(var b=a.length,c=b-1;c>=0&&"9"===a[c];)c--;return a=c>=0?a.slice(0,c)+"123456789"[parseInt(a[c])]+"0".repeat(b-c-1):"1"+"0".repeat(b)}function b(b,c,d,e){if(console.log(c),c){var f;if(null===c.sign?c.sign=b["explicit-sign"]:e||"+"!==c.sign||b["retain-explicit-plus"]||(c.sign=null),c["int"]=c["int"].replace(/^00*/,""),!c["int"]&&b["add-integer-zero"]&&(c["int"]="0"),c.sep&&!c.frac&&b["add-decimal-zero"]&&(c.frac="0"),f=b["minimum-integer-digits"]-c["int"].length,f>0&&(c["int"]="0".repeat(f)+c["int"]),!d&&null===c.uncert&&"off"!==b["round-mode"])switch("figures"===b["round-mode"]?(f=c["int"].replace(/^00*/,"").length,f?f+=c.frac.length:f=c.frac.replace(/^00*/,"").length):f=c.frac.length,f-=b["round-precision"],Math.sign(f)){case 1:var g=c["int"]+c.frac,h=Math.sign(parseInt(g[g.length-f])-5);if(!h&&f>1&&parseInt(g.slice(1-f))&&(h=1),g=g.slice(0,-f),!h)switch(b["round-half"]){case"up":h=1;break;default:case"even":h=1&parseInt(g[g.length-1])?1:-1}1===h&&(g=a(g)),f<c.frac.length?(c["int"]=g.slice(0,f-c.frac.length),c.frac=g.slice(f-c.frac.length)):(c["int"]=g+"0".repeat(f-c.frac.length),c.sep=null,c.frac="");break;case-1:(c.sep||b["round-integer-to-decimal"])&&(c.sep=c.sep||b["output-decimal-marker"],c.frac+="0".repeat(-f))}!b["zero-decimal-to-integer"]||c.frac&&parseInt(c.frac)||(c.frac=null,c.sep=null)}}function c(a,c){b(a,c.re),b(a,c.im,!1,!0),b(a,c.exp,!0)}function d(a,b){b.forEach(function(b){[b.num,b.denom].forEach(function(b){b&&c(a,b)})})}function e(a,b){var c=b["int"],d=b.frac,e=a["group-digits"],f=a["group-minimum-digits"],g="{"+a["group-separator"]+"}",h="{"+(a["copy-decimal-marker"]?b.sep:a["output-decimal-marker"])+"}",i=b.sign||"",j=c.length;if(j>=f&&("true"===e||"integer"===e))for(j-=3;j>0;j-=3)c=c.slice(0,j)+g+c.slice(j);if(!b.sep)return i+c;if(j=d.length,j>=f&&("true"===e||"decimal"===e))for(j-=1+(j-1)%3;j>0;j-=3)d=d.slice(0,j)+g+d.slice(j);return i+c+h+d}function f(a,b){var c="",d="";b.exp&&a["bracket-numbers"]&&(c=(a["open-bracket"]||"(")+" ",d=" "+(a["close-bracket"]||")"));var f=b.re&&e(a,b.re),g=null;if(b.im){var h=a["copy-complex-root"]?b.im.root:a["output-complex-root"];g=e(a,b.im),"before-number"===a["complex-root-position"]?g=h+g:g+=h}var i=b.rel?b.rel+" ":"";if(f?i+=g?c+f+" "+g+d:f:g&&(i+=g),b.sign&&((b.re||b.im)&&error("sign but also re or im given"),i+=" "+b.sign),b.exp){var j=e(a,b.exp),k=a["output-exponent-marker"];i+=k?" "+k+" "+j:" "+(f||g?a["exponent-product"]||"\\times":"")+" "+(a["exponent-base"]||"10")+"^{"+j+"}"}return i}function g(a,b){return b.map(function(b){var d=[b.num,b.denom].map(function(b){if(!b)return b;var d={};for(var e in b)b.hasOwnProperty(e)&&(d[e]=b);return c(a,b),f(a,b)});return{num:d[0],denom:d[1]}})}return{postprocDecimal:b,postprocComplExp:c,postprocAll:d,fmtDecimal:e,fmtComplExp:f,processAll:g}}(),g=function(a,b,c){var d={},e=MathJax.InputJax.TeX,f=d.SINumberParser=MathJax.Object.Subclass({Init:function(b,c){if(this.string=b,this.i=0,void 0===c)c=a();else if(!(c instanceof a))throw console.log(c,a),"SINumberParser expects an options object";this.options=c,this.Parse()},Parse:function(){var a=this.string.replace(/\s+/gi,""),d={"+-":"\\pm","-+":"\\mp","<=":"\\leq",">=":"\\geq","<<":"\\ll",">>":"\\gg"};for(var e in d)d.hasOwnProperty(e)&&(a=a.replace(e,d[e]));this.parsed=b.parse(a,this.options),this.preformatted=c.processAll(this.options,this.parsed)}});d.SINumberListParser=f.Subclass({Parse:function(){for(var a=this.string.replace(/\s+/gi,""),b=a.split(";"),c=[],d=0;d<b.length;++d)d==b.length-1?1==d?c.push("\\text{"+this.options["list-pair-separator"]+"}"):d&&c.push("\\text{"+this.options["list-final-separator"]+"}"):d&&c.push("\\text{"+this.options["list-separator"]+"}"),c.push(this._parse_multi_part_number(b[d]));this.parsed=c},mml:function(){return e.Parse(this.parsed.join("")).mml()}});return d}(b,e,f),h=function(a,b,c,d){var e=MathJax.InputJax.TeX,f=MathJax.ElementJax.mml,g=b.UNITSMACROS,h=d.SINumberParser,i=d.SINumberListParser,j=MathJax.Extension["TeX/siunitx"].SIunitxCommands={sisetup:function(a){this.GetArgument(a)},si:function(b){var d=a.ParseOptions(this.GetBrackets(b,"")),e=this.GetArgument(b);this.Push(c(e,d,this.stack.env).mml())},SI:function(b){var d=a.ParseOptions(this.GetBrackets(b,"")),e=this.GetArgument(b),g=this.GetBrackets(b,""),i=this.GetArgument(b);g&&(this.Push(c(g,d,this.stack.env).mml()),this.Push(f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0}))),this.Push(h(e,d,this.stack.env).mml()[0].num),this.Push(f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0})),this.Push(c(i,d,this.stack.env).mml())},SIlist:function(b){function d(){return f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0})}var g=a.ParseOptions(this.GetBrackets(b,"")),h=this.GetArgument(b),j=this.GetBrackets(b,""),k=this.GetArgument(b);j&&(j=c(j,g,this.stack.env)),h=i(h,g,this.stack.env).parsed,k=c(k,g,this.stack.env);for(var l=0;l<h.length;++l){var m=h[l];1&l?this.Push(e.Parse(m).mml()):(j&&(this.Push(j.mml()),this.Push(d())),this.Push(e.Parse(m).mml()),this.Push(d()),this.Push(k.mml()))}},SIrange:function(b){var d=a.ParseOptions(this.GetBrackets(b,"")),e=this.GetArgument(b),g=this.GetArgument(b),i=this.GetBrackets(b,""),j=this.GetArgument(b);j=c(j,d,this.stack.env),i&&(i=c(i,d,this.stack.env)),i&&(this.Push(i.mml()),this.Push(f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0}))),this.Push(h(e,d,this.stack.env).mml()),this.Push(f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0})),this.Push(j.mml()),this.Push(d["range-phrase"]),i&&(this.Push(i.mml()),this.Push(f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0}))),this.Push(h(g,d,this.stack.env).mml()),this.Push(f.mspace().With({width:f.LENGTH.MEDIUMMATHSPACE,mathsize:f.SIZE.NORMAL,scriptlevel:0})),this.Push(j.mml())},num:function(b){var c=a.ParseOptions(this.GetBrackets(b,"")),d=this.GetArgument(b),f=h(d,c,this.stack.env).preformatted.map(function(a){return null===a.denom?a.num:"symbol"==c["quotient-mode"]?a.num+c["output-quotient"]+a.denom:c["fraction-function"]+"{"+a.num+"}{"+a.denom+"}"}).join(c["output-product"]);this.Push(e.Parse(f).mml())},ang:function(b){var c=a.ParseOptions(this.GetBrackets(b,"")),d=this.GetArgument(b);d=i(d,c,this.stack.env).parsed,d.length>5&&e.Error("More than three elements in angle specification");for(var h=["degree",void 0,"arcminute",void 0,"arcsecond"],j={mathvariant:f.VARIANT.NORMAL},k=0;k<d.length;++k){var l=d[k];if(1&k);else{if(!l)continue;this.Push(e.Parse(l).mml());var m=g[h[k]][1],n=f.mi.apply(f.mi,[m.symbol]).With(j);this.Push(this.mmlToken(n))}}},numlist:function(b){var c=a.ParseOptions(this.GetBrackets(b,"")),d=this.GetArgument(b);this.Push(i(d,c,this.stack.env).mml())},numrange:function(b){var c=a.ParseOptions(this.GetBrackets(b,"")),d=this.GetArgument(b),e=this.GetArgument(b);this.Push(h(d,c,this.stack.env).mml()),this.Push(c["range-phrase"]),
this.Push(h(e,c,this.stack.env).mml())}};return e.Definitions.Add({macros:{sisetup:"SIunitx",si:"SIunitx",SI:"SIunitx",SIlist:"SIunitx",SIrange:"SIunitx",num:"SIunitx",ang:"SIunitx",numlist:"SIunitx",numrange:"SIunitx"}},null,!0),e.Parse.Augment({SIunitx:function(a){j[a.slice(1)].call(this,a)}}),MathJax.Hub.Startup.signal.Post("TeX siunitx Ready"),j}(b,c,d,g)}()}),MathJax.Ajax.loadComplete("[Contrib]/siunitx/siunitx.js");