From d5416ceb10d02b21c4ada19476977a2183bee75b Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Sat, 7 May 2011 21:21:52 -0400 Subject: [PATCH 1/2] Add \begingroup and \endgroup commands to make it possible to have local macros. Add the \let and \renewenvironment commands. Add \global and \gdef now that there are local namespaces --- config/Accessible-full.js | 2 +- config/Accessible.js | 2 +- config/TeX-AMS-MML_HTMLorMML-full.js | 2 +- config/TeX-AMS-MML_HTMLorMML.js | 2 +- config/TeX-AMS_HTML-full.js | 2 +- config/TeX-AMS_HTML.js | 2 +- extensions/TeX/begingroup.js | 16 ++ extensions/TeX/newcommand.js | 2 +- jax/input/TeX/jax.js | 2 +- unpacked/extensions/TeX/begingroup.js | 286 ++++++++++++++++++++++++++ unpacked/extensions/TeX/newcommand.js | 58 +++++- unpacked/jax/input/TeX/jax.js | 83 +++++--- 12 files changed, 414 insertions(+), 45 deletions(-) create mode 100644 extensions/TeX/begingroup.js create mode 100644 unpacked/extensions/TeX/begingroup.js diff --git a/config/Accessible-full.js b/config/Accessible-full.js index 5719c50a7..e01675044 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -78,7 +78,7 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var 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m}l=this.formatError(m,n,p,k)}if(l.inferred){l=i.apply(MathJax.ElementJax,l.data)}else{l=i(l)}if(p){l.root.display="block"}o.math=l;this.postfilterHooks.Execute(o);return o.math},prefilterMath:function(k){if(MathJax.Hub.Browser.isKonqueror){k.math=k.math.replace(/</g,"<").replace(/>/g,">").replace(/&/g,"&")}k.math=k.math.replace(/([_^]\s*\d)([0-9.,])/g,"$1 $2")},postfilterMath:function(k){this.combineRelations(k.math.root)},formatError:function(m,l,n,k){return i.merror(m.message.replace(/\n.*/,""))},Error:function(k){throw MathJax.Hub.Insert(Error(k),{texError:c})},Macro:function(k,l,m){g.macros[k]=["Macro"].concat([].slice.call(arguments,1))},combineRelations:function(l){for(var n=0,k=l.data.length;n 0) {this.stack[n].Undef(name,type); n--} + if (!(value instanceof Array)) {value = [value]} + if (this.isEqn) {value.global = true} + } + this.stack[n].Def(name,value,type); + }, + // + // Push a new namespace frame on the stack + // + Push: function (frame) { + this.stack.push(frame); + this.top = this.stack.length; + }, + // + // Pop the top stack frame + // (if it is the root, just keep track of the pop so we can + // reset it if the equation is reprocessed) + // + Pop: function () { + var top; + if (this.top > 1) { + top = this.stack[--this.top]; + if (this.isEqn) {this.stack.pop()} + } else if (this.isEqn) { + this.Clear(); + } + return top; + }, + // + // Search the stack from top to bottom for the first + // definition of the given control sequence in the given type + // + Find: function (name,type) { + for (var i = this.top-1; i >= 0; i--) { + var def = this.stack[i].Find(name,type); + if (def) {return def} + } + return null; + }, + // + // Combine the equation stack with the global one + // (The bottom frame of the equation goes with the top frame of the global one, + // and the remainder are pushed on the global stack, truncated to the + // position where items were poped from it.) + // + Merge: function (stack) { + stack.stack[0].MergeGlobals(this); + this.stack[this.top-1].Merge(stack.stack[0]); + var data = [this.top,this.stack.length-this.top].concat(stack.stack.slice(1)); + this.stack.splice.apply(this.stack,data); + this.top = this.stack.length; + }, + // + // Put back the temporarily poped items + // + Reset: function () {this.top = this.stack.length}, + // + // Clear the stack and start with a blank frame + // + Clear: function (all) { + this.stack = [this.stack[0].Clear()]; + this.top = this.stack.length; + } + },{ + nsFrame: NSFRAME + }); + + /****************************************************/ + + // + // Define the new macros + // + TEXDEF.macros.begingroup = "BeginGroup"; + TEXDEF.macros.endgroup = "EndGroup"; + TEXDEF.macros.global = ["Extension","newcommand"]; + TEXDEF.macros.gdef = ["Extension","newcommand"]; + + TEX.Parse.Augment({ + // + // Implement \begingroup + // + BeginGroup: function (name) { + TEX.eqnStack.Push(NSFRAME()); + }, + // + // Implements \endgroup + // + EndGroup: function (name) { + // + // If the equation has pushed frames, pop one, + // Otherwise clear the equation stack and pop the top global one + // + if (TEX.eqnStack.top > 1) { + TEX.eqnStack.Pop(); + } else if (TEX.rootStack.top === 1) { + TEX.Error("Extra "+name+" or missing \\begingroup"); + } else { + TEX.eqnStack.Clear(); + TEX.rootStack.Pop(); + } + }, + + // + // Replace the original routines with ones that looks through the + // equation and root stacks for the given name + // + csFindMacro: function (name) { + return (TEX.eqnStack.Find(name,"macros") || TEX.rootStack.Find(name,"macros")); + }, + envFindName: function (name) { + return (TEX.eqnStack.Find(name,"environments") || TEX.rootStack.Find(name,"environments")); + } + + }); + + /****************************************************/ + + TEX.rootStack = NSSTACK(); // the global namespace stack + TEX.eqnStack = NSSTACK(true); // the equation stack + + // + // Reset the global stack and clear the equation stack + // (this gets us back to the initial stack state as it was + // before the equation was first processed, in case the equation + // get restarted due to an autoloaded file) + // + TEX.prefilterHooks.Add(function () {TEX.rootStack.Reset(); TEX.eqnStack.Clear(true)}); + + // + // We only get here if there were no errors and the equation is fully + // processed (all restarts are complete). So we merge the equation + // stack into the global stack, thus making the changes from this + // equation permanent. + // + TEX.postfilterHooks.Add(function () {TEX.rootStack.Merge(TEX.eqnStack)}); + + /*********************************************************/ + + MathJax.Hub.Register.StartupHook("TeX newcommand Ready",function () { + + // + // Add the commands that depend on the newcommand code + // + TEXDEF.macros.global = "Global"; + TEXDEF.macros.gdef = ["Macro","\\global\\def"]; + + TEX.Parse.Augment({ + // + // Modify the way macros and environments are defined + // to make them go into the equation namespace stack + // + setDef: function (name,value) { + TEX.eqnStack.Def(name,value,"macros",this.stack.isGlobal); + delete this.stack.env.isGlobal; + }, + setEnv: function (name,value) {TEX.eqnStack.Def(name,value,"environments")}, + + // + // Implement \global (for \global\let, \global\def and \global\newcommand) + // + Global: function (name) { + var i = this.i; var cs = this.GetCSname(name); this.i = i; + if (cs !== "let" && cs !== "def" && cs !== "newcommand") + {TEX.Error(name+" not followed by \\let, \\def, or \\newcommand")} + this.stack.env.isGlobal = true; + } + + }); + + }); + + MathJax.Hub.Startup.signal.Post("TeX begingroup Ready"); + +}); + +MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js"); diff --git a/unpacked/extensions/TeX/newcommand.js b/unpacked/extensions/TeX/newcommand.js index 168e55010..18b32d874 100644 --- a/unpacked/extensions/TeX/newcommand.js +++ b/unpacked/extensions/TeX/newcommand.js @@ -7,7 +7,7 @@ * * --------------------------------------------------------------------- * - * Copyright (c) 2009 Design Science, Inc. + * Copyright (c) 2009-2011 Design Science, Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. @@ -23,17 +23,19 @@ */ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { - var VERSION = "1.1"; + var VERSION = "1.1.1"; var TEX = MathJax.InputJax.TeX; var TEXDEF = TEX.Definitions; MathJax.Hub.Insert(TEXDEF,{ macros: { - newcommand: 'NewCommand', - renewcommand: 'NewCommand', - newenvironment: 'NewEnvironment', - def: 'MacroDef' + newcommand: 'NewCommand', + renewcommand: 'NewCommand', + newenvironment: 'NewEnvironment', + renewenvironment: 'NewEnvironment', + def: 'MacroDef', + let: 'Let' } }) @@ -50,7 +52,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { if (cs.charAt(0) === "\\") {cs = cs.substr(1)} if (!cs.match(/^(.|[a-z]+)$/i)) {TEX.Error("Illegal control sequence name for "+name)} if (n != null && !n.match(/^[0-9]+$/)) {TEX.Error("Illegal number of parameters specified in "+name)} - TEXDEF.macros[cs] = ['Macro',def,n]; + this.setDef(cs,['Macro',def,n]); }, /* @@ -63,7 +65,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { edef = this.GetArgument(name); if (n === '') {n = null} if (n != null && !n.match(/^[0-9]+$/)) {TEX.Error("Illegal number of parameters specified in "+name)} - TEXDEF.environment[env] = ['BeginEnv','EndEnv',bdef,edef,n]; + this.setEnv(env,['BeginEnv','EndEnv',bdef,edef,n]); }, /* @@ -73,10 +75,46 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () { var cs = this.GetCSname(name), params = this.GetTemplate(name,"\\"+cs), def = this.GetArgument(name); - if (!(params instanceof Array)) {TEXDEF.macros[cs] = ['Macro',def,params]} - else {TEXDEF.macros[cs] = ['MacroWithTemplate',def,params[0],params[1]]} + if (!(params instanceof Array)) {this.setDef(cs,['Macro',def,params])} + else {this.setDef(cs,['MacroWithTemplate',def].concat(params))} }, + /* + * Implements the \let command + */ + Let: function (name) { + var cs = this.GetCSname(name), macro; + var c = this.GetNext(); if (c === "=") {this.i++; c = this.GetNext()} + // + // All \let commands create entries in the macros array, but we + // have to look in the various mathchar and delimiter arrays if + // the source isn't a macro already, and attach the data to a + // macro with the proper routine to process it. + // + // A command of the form \let\cs=char produces a macro equivalent + // to \def\cs{char}, which is as close as MathJax can get for this. + // So \let\bgroup={ is possible, but doesn't work as it does in TeX. + // + if (c === "\\") { + name = this.GetCSname(name); + macro = this.csFindMacro(name); + if (!macro) { + if (TEXDEF.mathchar0mi[name]) {macro = ["csMathchar0mi",TEXDEF.mathchar0mi[name]]} else + if (TEXDEF.mathchar0mo[name]) {macro = ["csMathchar0mo",TEXDEF.mathchar0mo[name]]} else + if (TEXDEF.mathchar7[name]) {macro = ["csMathchar7",TEXDEF.mathchar7[name]]} else + if (TEXDEF.delimiter["\\"+name] != null) {macro = ["csDelimiter",TEXDEF.delimiter["\\"+name]]} + } + } else {macro = ["Macro",c]; this.i++} + this.setDef(cs,macro); + }, + + /* + * Routines to set the macro and environment definitions + * (overridden by begingroup to make localized versions) + */ + setDef: function (name,value) {TEXDEF.macros[name] = value}, + setEnv: function (name,value) {TEXDEF.environment[name] = value}, + /* * Get a CS name or give an error */ diff --git a/unpacked/jax/input/TeX/jax.js b/unpacked/jax/input/TeX/jax.js index 80dee2e70..fcb29556c 100644 --- a/unpacked/jax/input/TeX/jax.js +++ b/unpacked/jax/input/TeX/jax.js @@ -842,7 +842,9 @@ newcommand: ['Extension','newcommand'], renewcommand: ['Extension','newcommand'], newenvironment: ['Extension','newcommand'], + renewenvironment: ['Extension','newcommand'], def: ['Extension','newcommand'], + let: ['Extension','newcommand'], verb: ['Extension','verb'], @@ -950,34 +952,60 @@ * Lookup a control-sequence and process it */ ControlSequence: function (c) { - var name = this.GetCS(), mchar, def; - if (TEXDEF.macros[name]) { // javascript macro - var macro = TEXDEF.macros[name]; + var name = this.GetCS(), macro = this.csFindMacro(name); + if (macro) { if (!(macro instanceof Array)) {macro = [macro]} var fn = macro[0]; if (!(fn instanceof Function)) {fn = this[fn]} - fn.apply(this,["\\"+name].concat(macro.slice(1))); - } else if (TEXDEF.mathchar0mi[name]) { // normal mathchar (mi) - mchar = TEXDEF.mathchar0mi[name]; def = {mathvariant: MML.VARIANT.ITALIC}; - if (mchar instanceof Array) {def = mchar[1]; mchar = mchar[0]} - this.Push(this.mmlToken(MML.mi(MML.entity("#x"+mchar)).With(def))); - } else if (TEXDEF.mathchar0mo[name]) { // normal mathchar (mo) - mchar = TEXDEF.mathchar0mo[name]; def = {stretchy: FALSE}; - if (mchar instanceof Array) {def = mchar[1]; def.stretchy = FALSE; mchar = mchar[0]} - this.Push(this.mmlToken(MML.mo(MML.entity("#x"+mchar)).With(def))); - } else if (TEXDEF.mathchar7[name]) { // mathchar in current family - mchar = TEXDEF.mathchar7[name]; def = {mathvariant: MML.VARIANT.NORMAL}; - if (mchar instanceof Array) {def = mchar[1]; mchar = mchar[0]} - if (this.stack.env.font) {def.mathvariant = this.stack.env.font} - this.Push(this.mmlToken(MML.mi(MML.entity("#x"+mchar)).With(def))); - } else if (TEXDEF.delimiter["\\"+name] != null) { // delimiter - var delim = TEXDEF.delimiter["\\"+name]; def = {}; - if (delim instanceof Array) {def = delim[1]; delim = delim[0]} - if (delim.length === 4) {delim = MML.entity('#x'+delim)} else {delim = MML.chars(delim)} - this.Push(this.mmlToken(MML.mo(delim).With({fence: FALSE, stretchy: FALSE}).With(def))); - } else { // error - this.csUndefined("\\"+name); - } + fn.apply(this,[c+name].concat(macro.slice(1))); + } else if (TEXDEF.mathchar0mi[name]) {this.csMathchar0mi(name,TEXDEF.mathchar0mi[name])} + else if (TEXDEF.mathchar0mo[name]) {this.csMathchar0mo(name,TEXDEF.mathchar0mo[name])} + else if (TEXDEF.mathchar7[name]) {this.csMathchar7(name,TEXDEF.mathchar7[name])} + else if (TEXDEF.delimiter["\\"+name] != null) {this.csDelimiter(name,TEXDEF.delimiter["\\"+name])} + else {this.csUndefined(c+name)} }, + // + // Look up a macro in the macros list + // (overridden in begingroup extension) + // + csFindMacro: function (name) {return TEXDEF.macros[name]}, + // + // Handle normal mathchar (as an mi) + // + csMathchar0mi: function (name,mchar) { + var def = {mathvariant: MML.VARIANT.ITALIC}; + if (mchar instanceof Array) {def = mchar[1]; mchar = mchar[0]} + this.Push(this.mmlToken(MML.mi(MML.entity("#x"+mchar)).With(def))); + }, + // + // Handle normal mathchar (as an m0) + // + csMathchar0mo: function (name,mchar) { + var def = {stretchy: false}; + if (mchar instanceof Array) {def = mchar[1]; def.stretchy = false; mchar = mchar[0]} + this.Push(this.mmlToken(MML.mo(MML.entity("#x"+mchar)).With(def))); + }, + // + // Handle mathchar in current family + // + csMathchar7: function (name,mchar) { + var def = {mathvariant: MML.VARIANT.NORMAL}; + if (mchar instanceof Array) {def = mchar[1]; mchar = mchar[0]} + if (this.stack.env.font) {def.mathvariant = this.stack.env.font} + this.Push(this.mmlToken(MML.mi(MML.entity("#x"+mchar)).With(def))); + }, + // + // Handle delimiter + // + csDelimiter: function (name,delim) { + var def = {}; + if (delim instanceof Array) {def = delim[1]; delim = delim[0]} + if (delim.length === 4) {delim = MML.entity('#x'+delim)} else {delim = MML.chars(delim)} + this.Push(this.mmlToken(MML.mo(delim).With({fence: false, stretchy: false}).With(def))); + }, + // + // Handle undefined control sequence + // (overridden in noUndefined extension) + // csUndefined: function (name) { TEX.Error("Undefined control sequence "+name); }, @@ -1411,10 +1439,10 @@ Begin: function (name) { var env = this.GetArgument(name); if (env.match(/[^a-z*]/i)) {TEX.Error('Invalid environment name "'+env+'"')} - if (!TEXDEF.environment[env]) {TEX.Error('Unknown environment "'+env+'"')} + var cmd = this.envFindName(env); if (!cmd) {TEX.Error('Unknown environment "'+env+'"')} if (++this.macroCount > TEX.config.MAXMACROS) {TEX.Error("MathJax maximum substitution count exceeded; is there a recursive latex environment?")} - var cmd = TEXDEF.environment[env]; if (!(cmd instanceof Array)) {cmd = [cmd]} + if (!(cmd instanceof Array)) {cmd = [cmd]} var mml = STACKITEM.begin().With({name: env, end: cmd[1], parse:this}); if (cmd[0] && this[cmd[0]]) {mml = this[cmd[0]].apply(this,[mml].concat(cmd.slice(2)))} this.Push(mml); @@ -1422,6 +1450,7 @@ End: function (name) { this.Push(STACKITEM.end().With({name: this.GetArgument(name)})); }, + envFindName: function (name) {return TEXDEF.environment[name]}, Equation: function (begin,row) {return row}, From b9016bdf8311df540234573fe3a298c1f1582ca9 Mon Sep 17 00:00:00 2001 From: "Davide P. Cervone" Date: Sat, 10 Sep 2011 17:32:45 -0400 Subject: [PATCH 2/2] Add a flag to user-defined macros so they are not overwritten when an extension is loaded (resolves issue #128). --- config/Accessible-full.js | 8 ++++---- config/Accessible.js | 8 ++++---- config/TeX-AMS-MML_HTMLorMML-full.js | 8 ++++---- config/TeX-AMS-MML_HTMLorMML.js | 8 ++++---- config/TeX-AMS_HTML-full.js | 8 ++++---- config/TeX-AMS_HTML.js | 8 ++++---- extensions/TeX/AMSmath.js | 2 +- extensions/TeX/AMSsymbols.js | 2 +- extensions/TeX/HTML.js | 2 +- extensions/TeX/begingroup.js | 2 +- extensions/TeX/newcommand.js | 2 +- jax/input/TeX/config.js | 2 +- jax/input/TeX/jax.js | 2 +- unpacked/extensions/TeX/AMSmath.js | 8 ++++---- unpacked/extensions/TeX/AMSsymbols.js | 9 +++++---- unpacked/extensions/TeX/HTML.js | 14 +++++++++----- unpacked/extensions/TeX/begingroup.js | 13 ++++++++++--- unpacked/extensions/TeX/newcommand.js | 11 ++++++----- unpacked/jax/input/TeX/config.js | 2 +- unpacked/jax/input/TeX/jax.js | 18 +++++++++++++++++- 20 files changed, 83 insertions(+), 54 deletions(-) diff --git a/config/Accessible-full.js b/config/Accessible-full.js index 8cc4472f4..61dec4fb1 100644 --- a/config/Accessible-full.js +++ b/config/Accessible-full.js @@ -52,7 +52,7 @@ MathJax.Hub.Config({ }); -MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.2",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); +MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"1.1.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%"}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js"); MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"1.1.4",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js"); @@ -78,11 +78,11 @@ MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var MathJax.Extension["TeX/noUndefined"]={version:"1.1",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(c){this.Push(a.mtext(c).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js"); -(function(d){var 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0.71}if(k==="infinity"){return e.BIGDIMEN}var h=this.FONTDATA.TeX_factor;if(k.match(/mathspace$/)){return e.MATHSPACE[k]*h}var g=k.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var f=parseFloat(g[1]||"1"),j=g[2];if(i==null){i=1}if(j==="em"){return f*h}if(j==="ex"){return f*e.TeX.x_height*h}if(j==="%"){return f/100*i}if(j==="px"){return f/e.em}if(j==="pt"){return f/10*h}if(j==="pc"){return f*1.2*h}if(j==="in"){return f*this.pxPerInch/e.em}if(j==="cm"){return f*this.pxPerInch/e.em/2.54}if(j==="mm"){return f*this.pxPerInch/e.em/25.4}if(j==="mu"){return f/18*h}return f*h*i},thickness2em:function(f){var g=e.TeX.rule_thickness;if(f===a.LINETHICKNESS.MEDIUM){return g}if(f===a.LINETHICKNESS.THIN){return 0.67*g}if(f===a.LINETHICKNESS.THICK){return 1.67*g}return this.length2em(f,g)},createStrut:function(i,g,j){var f=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:g+"px",width:"1px",marginRight:"-1px"}});if(j){i.insertBefore(f,i.firstChild)}else{i.appendChild(f)}return f},createBlank:function(g,f,h){var i=this.Element("span",{style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(f)}});if(h){g.insertBefore(i,g.firstChild)}else{g.appendChild(i)}return i},createShift:function(g,f,i){var h=this.Element("span",{style:{marginLeft:this.Em(f)}});if(i){g.insertBefore(h,g.firstChild)}else{g.appendChild(h)}return h},createSpace:function(k,j,m,f,g){var i=this.Em(Math.max(0,j+m)),l=this.Em(-m);if(this.msieInlineBlockAlignBug){l=this.Em(e.getHD(k.parentNode).d-m)}if(k.isBox||k.className=="mspace"){k.bbox={h:j*k.scale,d:m*k.scale,w:f*k.scale,rw:f*k.scale,lw:0};k.style.height=i;k.style.verticalAlign=l}else{k=this.addElement(k,"span",{style:{height:i,verticalAlign:l}})}if(f>=0){k.style.width=this.Em(f);k.style.display="inline-block"}else{if(this.msieNegativeSpaceBug){k.style.height=""}k.style.marginLeft=this.Em(f);if(e.safariNegativeSpaceBug&&k.parentNode.firstChild==k){this.createBlank(k,0,true)}}if(g&&g!==a.COLOR.TRANSPARENT){k.style.backgroundColor=g}return k},createRule:function(o,k,m,p,i){var j=e.TeX.min_rule_thickness;if(p>0&&p*this.em0&&(k+m)*this.em0&&n.offsetWidth==0){n.style.width=this.Em(p)}if(o.isBox||o.className=="mspace"){o.bbox=n.bbox}return n},createFrame:function(o,m,n,p,r,g){var l=(this.msieBorderWidthBug?0:2*r);var q=this.Em(m+n-l),f=this.Em(-n-r),k=this.Em(p-l);var i=this.Em(r)+" "+g;var j=this.addElement(o,"span",{style:{border:i,display:"inline-block",overflow:"hidden",width:k,height:q},bbox:{h:m,d:n,w:p,rw:p,lw:0},noAdjust:true});if(f){j.style.verticalAlign=f}return j},createStack:function(h,j,g){if(this.msiePaddingWidthBug){this.createStrut(h,0)}var i=String(g).match(/%$/);var f=(!i&&g!=null?g:0);h=this.addElement(h,"span",{noAdjust:true,style:{display:"inline-block",position:"relative",width:(i?"100%":this.Em(f)),height:0}});if(!j){h.parentNode.bbox=h.bbox={h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:f,lw:this.BIGDIMEN,rw:(!i&&g!=null?g:-this.BIGDIMEN)};if(i){h.bbox.width=g}}return h},createBox:function(g,f){var h=this.addElement(g,"span",{style:{position:"absolute"},isBox:true});if(f!=null){h.style.width=f}return h},addBox:function(f,g){g.style.position="absolute";g.isBox=true;return f.appendChild(g)},placeBox:function(n,m,k,i){var o=n.parentNode,v=n.bbox,q=o.bbox;if(this.msiePlaceBoxBug){this.addText(n,this.NBSP)}if(this.imgSpaceBug){this.addText(n,this.imgSpace)}var p=n.offsetHeight/this.em+1,z=0;if(n.noAdjust){p-=1}else{if(this.msieInlineBlockAlignBug){this.addElement(n,"img",{className:"MathJax_strut",border:0,src:"about:blank",style:{width:0,height:this.Em(p)}})}else{this.addElement(n,"span",{style:{display:"inline-block",width:0,height:this.Em(p)}})}}n.style.top=this.Em(-k-p);n.style.left=this.Em(m+z);if(v){if(this.negativeSkipBug){if(v.lw<0){z=v.lw;e.createBlank(n,-z,true);h=0}if(v.rw>v.w){e.createBlank(n,v.rw-v.w+0.1)}}if(!this.msieClipRectBug&&!v.noclip&&!i){var u=3/this.em;var s=(v.H==null?v.h:v.H),g=(v.D==null?v.d:v.D);var w=p-s-u,j=p+g+u,h=v.lw-3*u,f=1000;if(v.isFixed){f=v.width-h}n.style.clip="rect("+this.Em(w)+" "+this.Em(f)+" "+this.Em(j)+" "+this.Em(h)+")"}}if(v&&q){if(v.H!=null&&(q.H==null||v.H+k>q.H)){q.H=v.H+k}if(v.D!=null&&(q.D==null||v.D-k>q.D)){q.D=v.D-k}if(v.h+k>q.h){q.h=v.h+k}if(v.d-k>q.d){q.d=v.d-k}if(q.H!=null&&q.H<=q.h){delete q.H}if(q.D!=null&&q.D<=q.d){delete 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o=(t/(t+1))*(x-f);f=x-o;m+=o+f-g.bbox.h;while(u-->0){while(t-->0){if(!this.msieCloneNodeBug){j=g.cloneNode(true)}else{j=this.Element("span");this.createChar(j,A.ext,B,s)}m-=f;this.placeBox(this.addBox(i,j),0,m,true)}m+=o-g.bbox.d;if(A.mid&&u){this.placeBox(z,0,m-z.bbox.h,true);t=l;m+=-(z.bbox.h+z.bbox.d)+o+f-g.bbox.h}}}else{m+=(w-p)/2;if(A.mid){this.placeBox(z,0,m-z.bbox.h,true);m+=-(z.bbox.h+z.bbox.d)}m+=(w-p)/2}this.placeBox(q,0,m-q.bbox.h,true);m-=q.bbox.h+q.bbox.d;v.bbox={w:Math.max(r.bbox.w,g.bbox.w,q.bbox.w,z.bbox.w),lw:Math.min(r.bbox.lw,g.bbox.lw,q.bbox.lw,z.bbox.lw),rw:Math.max(r.bbox.rw,g.bbox.rw,q.bbox.rw,z.bbox.rw),h:0,d:-m};v.scale=B;v.offset=0.55*v.bbox.w;v.isMultiChar=true;this.setStackWidth(i,v.bbox.w)},extendDelimiterH:function(u,h,z,B,r){var l=this.createStack(u,true);var i=this.createBox(l),v=this.createBox(l);this.createChar(i,(z.left||z.rep),B,r);this.createChar(v,(z.right||z.rep),B,r);var f=this.Element("span");this.createChar(f,z.rep,B,r);var y={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},g;this.placeBox(i,-i.bbox.lw,0,true);var p=(i.bbox.rw-i.bbox.lw)+(v.bbox.rw-v.bbox.lw)-0.05,o=i.bbox.rw-i.bbox.lw-0.025,q;if(z.mid){y=this.createBox(l);this.createChar(y,z.mid,B,r);p+=y.bbox.w}if(h>p){var A=f.bbox.rw-f.bbox.lw,j=A-0.05,s,m,t=(z.mid?2:1);m=s=Math.ceil((h-p)/(t*j));j=(h-p)/(t*s);q=(s/(s+1))*(A-j);j=A-q;o-=f.bbox.lw+q;while(t-->0){while(s-->0){if(!this.msieCloneNodeBug){g=f.cloneNode(true)}else{g=this.Element("span");this.createChar(g,z.rep,B,r)}this.placeBox(this.addBox(l,g),o,0,true);o+=j}if(z.mid&&t){this.placeBox(y,o,0,true);o+=y.bbox.w-q;s=m}}}else{q=Math.min(p-h,i.bbox.w/2);o-=q/2;if(z.mid){this.placeBox(y,o,0,true);o+=y.bbox.w}o-=q/2}this.placeBox(v,o,0,true);u.bbox={w:o+v.bbox.rw,lw:0,rw:o+v.bbox.rw,H:Math.max(i.bbox.h,f.bbox.h,v.bbox.h,y.bbox.h),D:Math.max(i.bbox.d,f.bbox.d,v.bbox.d,y.bbox.d),h:f.bbox.h,d:f.bbox.d};u.scale=B;u.isMultiChar=true;this.setStackWidth(l,u.bbox.w)},createChar:function(o,k,h,f){var n=o,p="",j={fonts:[k[1]],noRemap:true};if(f&&f===a.VARIANT.BOLD){j.fonts=[k[1]+"-bold",k[1]]}if(typeof(k[1])!=="string"){j=k[1]}if(k[0] instanceof Array){for(var l=0,g=k[0].length;l=r[q].low&&s<=r[q].high){if(r[q].remap&&r[q].remap[s]){s=k+r[q].remap[s]}else{s=s-r[q].low+k;if(r[q].add){s+=r[q].add}}if(j["variant"+r[q].offset]){j=this.FONTDATA.VARIANT[j["variant"+r[q].offset]]}break}}}if(j.remap&&j.remap[s]){if(j.remap[s] instanceof Array){var h=j.remap[s];s=h[0];j=this.FONTDATA.VARIANT[h[1]]}else{s=j.remap[s];if(j.remap.variant){j=this.FONTDATA.VARIANT[j.remap.variant]}}}if(this.FONTDATA.REMAP[s]&&!j.noRemap){s=this.FONTDATA.REMAP[s]}p=this.lookupChar(j,s);y=p[s];if(j!==x&&!y[5].img){if(u.length){this.addText(f,u);u=""}f=v;x=g;if(j!==x){if(x){f=this.addElement(v,"span")}else{g=j}}this.handleFont(f,p,f!==v);x=j}u=this.handleChar(f,p,y,s,u);if(y[0]/1000>v.bbox.h){v.bbox.h=y[0]/1000}if(y[1]/1000>v.bbox.d){v.bbox.d=y[1]/1000}if(v.bbox.w+y[3]/1000v.bbox.rw){v.bbox.rw=v.bbox.w+y[4]/1000}v.bbox.w+=y[2]/1000}if(u.length){this.addText(f,u)}if(v.scale&&v.scale!==1){v.bbox.h*=v.scale;v.bbox.d*=v.scale;v.bbox.w*=v.scale;v.bbox.lw*=v.scale;v.bbox.rw*=v.scale}if(o.length==1&&p.skew&&p.skew[s]){v.bbox.skew=p.skew[s]}},handleFont:function(h,f,j){h.style.fontFamily=f.family;if(!(e.FontFaceBug&&f.isWebFont)){var g=f.style||"normal",i=f.weight||"normal";if(g!=="normal"||j){h.style.fontStyle=g}if(i!=="normal"||j){h.style.fontWeight=i}}},handleChar:function(g,f,l,k,j){var i=l[5];if(i.img){return this.handleImg(g,f,l,k,j)}if(i.isUnknown&&this.FONTDATA.DELIMITERS[k]){if(j.length){this.addText(g,j)}var h=g.scale;e.createDelimiter(g,k,0,1,f);g.scale=h;l[0]=g.bbox.h*1000;l[1]=g.bbox.d*1000;l[2]=g.bbox.w*1000;l[3]=g.bbox.lw*1000;l[4]=g.bbox.rw*1000;return""}if(i.c==null){if(k<=65535){i.c=String.fromCharCode(k)}else{i.c=this.PLANE1+String.fromCharCode(k-119808+56320)}}if(l[2]||!this.msieAccentBug||j.length){return j+i.c}e.createShift(g,l[3]/1000);e.createShift(g,(l[4]-l[3])/1000);this.addText(g,i.c);e.createShift(g,-l[4]/1000);return""},handleImg:function(g,f,j,i,h){return h},lookupChar:function(j,p){var h,f;if(!j.FONTS){var o=this.FONTDATA.FONTS;var l=(j.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(l instanceof Array)){l=[l]}if(j.fonts!=l){j.fonts=l}j.FONTS=[];for(h=0,f=l.length;h=0;h--){if(g.Ranges[h][2]==k){g.Ranges.splice(h,1)}}this.loadFont(g.directory+"/"+k+".js")}}}},loadFont:function(g){var f=MathJax.Callback.Queue();f.Push(["Require",c,this.fontDir+"/"+g]);if(this.imgFonts){if(!MathJax.isPacked){g=g.replace(/\/([^\/]*)$/,e.imgPacked+"/$1")}f.Push(["Require",c,this.webfontDir+"/png/"+g])}d.RestartAfter(f.Push({}))},loadWebFont:function(f){f.available=f.isWebFont=true;if(e.FontFaceBug){f.family=f.name;if(e.msieFontCSSBug){f.family+="-Web"}}d.RestartAfter(this.Font.loadWebFont(f))},loadWebFontError:function(g,f){d.Startup.signal.Post("HTML-CSS Jax - disable web fonts");g.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;d.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");d.Startup.signal.Post("HTML-CSS Jax - using image fonts");MathJax.Message.Set("Web-Fonts not available -- using image fonts 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this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},PLANE1:String.fromCharCode(55349),NBSP:String.fromCharCode(160),rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){a=MathJax.ElementJax.mml;a.mbase.Augment({toHTML:function(l){var j=this.HTMLlineBreaks();if(j.length>2){return this.toHTMLmultiline(l,j)}l=this.HTMLcreateSpan(l);if(this.type!="mrow"){l=this.HTMLhandleSize(l)}for(var g=0,f=this.data.length;gg.d){g.d=h.d}if(h.h>g.h){g.h=h.h}if(h.D!=null&&h.D>g.D){g.D=h.D}if(h.H!=null&&h.H>g.H){g.H=h.H}if(i.style.paddingLeft){g.w+=parseFloat(i.style.paddingLeft)*(i.scale||1)}if(g.w+h.lwg.rw){g.rw=g.w+h.rw}g.w+=h.w;if(i.style.paddingRight){g.w+=parseFloat(i.style.paddingRight)*(i.scale||1)}if(h.width){g.width=h.width}},HTMLemptyBBox:function(f){f.h=f.d=f.H=f.D=f.rw=-e.BIGDIMEN;f.w=0;f.lw=e.BIGDIMEN;return f},HTMLcleanBBox:function(f){if(f.h===this.BIGDIMEN){f.h=f.d=f.H=f.D=f.w=f.rw=f.lw=0}if(f.D<=f.d){delete f.D}if(f.H<=f.h){delete f.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(f){if(this.isEmbellished()){return this.Core().HTMLcanStretch(f)}return false},HTMLstretchH:function(g,f){return 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