File "mathlive.min.js"

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/** MathLive 0.87.1 */
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r.params)if(l.isOptional)i.push(this.parseOptionalArgument(l.type));else{let c=this.parseArgument(l.type);c||this.onError({code:"missing-argument",arg:e}),i.push(c)}this.beginContext({tabular:r.tabular});let o=[],a=[],n=[],s=!1;do if(this.end()&&(this.onError({code:"unbalanced-environment",arg:e}),s=!0),!s&&this.match("\\end")&&(this.parseArgument("string")!==e&&this.onError({code:"unbalanced-environment",arg:e}),s=!0),!s)if(this.matchColumnSeparator())n.push(this.mathlist),this.mathlist=[];else if(this.matchRowSeparator()){n.push(this.mathlist),this.mathlist=[];let l=null;this.matchWhitespace(),this.match("[")&&(l=this.scanDimen(),this.matchWhitespace(),this.match("]")),a.push(l!=null?l:{dimension:0}),o.push(n),n=[]}else this.mathlist.push(...this.parse(l=>l==="<}>"||l==="&"||l==="\\end"||l==="\\cr"||l==="\\\\"));while(!s);return n.push(this.mathlist),n.length>0&&o.push(n),this.endContext(),r.createAtom(this.context,e,o,a,i)}parse(e){this.beginContext(),e||(e=l=>l==="<}>");let r="",i=null,o=[],a=null,n=this.mathlist;for(this.mathlist=[];!this.end()&&!e(this.peek());)this.hasInfixCommand()&&!r?(r=this.get(),i=this.context.getDefinition(r,"math"),i&&(o=this.parseArguments(i)[1]),a=this.mathlist,this.mathlist=[]):this.parseToken();let s;return r?(o.unshift(this.mathlist),this.mathlist=n,a&&o.unshift(a),s=[i.createAtom(r,o,this.style,this.context)]):(s=this.mathlist,this.mathlist=n),this.endContext(),s}parseGroup(){if(!this.match("<{>"))return null;let e=new le(this.parse(r=>r==="<}>"),this.context,{mode:this.parseMode,latexOpen:"{",latexClose:"}"});return this.match("<}>")||this.onError({code:"unbalanced-braces"}),e}scanSmartFence(){if(this.matchWhitespace(),!this.match("("))return null;this.beginContext();let e=1;for(;!this.end()&&e!==0;)this.match("(")&&(e+=1),this.match(")")&&(e-=1),e!==0&&this.parseToken();e===0&&this.match(")");let r=new ue("",this.mathlist,this.context,{leftDelim:"(",rightDelim:e===0?")":"?"});return this.endContext(),r}scanDelim(){this.matchWhitespace();let e=this.get();if(!e)return this.onError({code:"unexpected-end-of-string"}),null;let r=".";(e.startsWith("\\")||ro(e))&&(r=e);let i=this.context.getDefinition(r,"math");return i?i.definitionType==="function"&&i.ifMode&&!i.ifMode.includes(this.parseMode)?(this.onError({code:"unexpected-delimiter",arg:r}),null):i.definitionType==="symbol"&&(i.type==="mopen"||i.type==="mclose")||/^(\.|\?|\||<|>|\\vert|\\Vert|\\\||\\surd|\\uparrow|\\downarrow|\\Uparrow|\\Downarrow|\\updownarrow|\\Updownarrow|\\mid|\\mvert|\\mVert)$/.test(r)?r:(this.onError({code:"unexpected-delimiter",arg:r}),null):(this.onError({code:"unknown-command",arg:r}),null)}parseLeftRight(){var a;if(this.match("\\right")||this.match("\\mright"))return this.onError({code:"unbalanced-braces"}),null;let e="\\right";if(!this.match("\\left")){if(!this.match("\\mleft"))return null;e="\\mright"}let r=this.scanDelim();if(!r)return null;for(this.beginContext();!this.end()&&!this.match(e);)this.parseToken();let i=this.mathlist;this.endContext();let o=(a=this.scanDelim())!=null?a:".";return new ue(e==="\\right"?"left...right":"mleft...mright",i,this.context,{leftDelim:r,rightDelim:o,style:this.style})}parseSupSub(){if(this.parseMode!=="math")return!1;let e=this.peek();if(e!=="^"&&e!=="_"&&e!=="'")return!1;for(;e==="^"||e==="_"||e==="'";){if(this.match("'"))this.match("'")?this.lastSubsupAtom().addChild(new g("mord",this.context,{command:"\\doubleprime",mode:"math",value:"\u2032\u2032"}),"superscript"):this.lastSubsupAtom().addChild(new g("mord",this.context,{command:"\\prime",mode:"math",value:"\u2032"}),"superscript");else if(this.match("^")||this.match("_")){let r=this.parseArgument("math");r?this.lastSubsupAtom().addChildren(r,e==="_"?"subscript":"superscript"):this.lastSubsupAtom().createBranch(e==="_"?"subscript":"superscript")}e=this.peek()}return!0}parseLimits(){let e=this.match("\\limits"),r=!e&&this.match("\\nolimits"),i=!r&&!e&&this.match("\\displaylimits");if(!e&&!r&&!i)return!1;let o=this.mathlist.length>0?this.mathlist[this.mathlist.length-1]:null;return o===null||o.type!=="mop"?!1:e?(o.subsupPlacement="over-under",o.explicitSubsupPlacement=!0,!0):r?(o.subsupPlacement="adjacent",o.explicitSubsupPlacement=!0,!0):i?(o.subsupPlacement="auto",o.explicitSubsupPlacement=!0,!0):!1}parseArguments(e){if(!(e!=null&&e.params))return[void 0,[]];let r,i=[],o=e.infix?2:0;for(;o<e.params.length;){let a=e.params[o];if(a.type==="rest")i.push(this.parse(n=>n==="<}>"||n==="&"||n==="\\end"||n==="\\cr"||n==="\\\\"));else if(a.isOptional)i.push(this.parseOptionalArgument(a.type));else if(a.type.endsWith("*"))r=a.type.slice(0,-1);else{let n=this.parseArgument(a.type);if(n!==null)i.push(n);else 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if(this.beginContext(),e==="string"?r=this.scanString():e==="balanced-string"?r=this.scanBalancedString():e==="number"?r=this.scanNumber():e==="colspec"?r=this.scanColspec():e==="dimen"?r=this.scanDimen():e==="glue"?r=this.scanGlue():e==="delim"&&(r=(n=this.scanDelim())!=null?n:"."),i&&this.skipUntilToken("<}>"),r===null)return this.endContext(),null;let o=this.mathlist;return this.endContext(),r!=null?r:o}parseOptionalArgument(e){var i,o;if(e=e==="auto"?this.parseMode:e,this.matchWhitespace(),!this.match("["))return null;let r=null;for(;!this.end()&&!this.match("]");)if(e==="string")r=this.scanString();else if(e==="number")r=this.scanNumber();else if(e==="dimen")r=this.scanDimen();else if(e==="glue")r=this.scanGlue();else if(e==="colspec")r=this.scanColspec();else if(e==="bbox"){let a=this.scanString().toLowerCase().trim().split(/,(?![^(]*\)(?:(?:[^(]*\)){2})*[^"]*$)/),n={};for(let s of a){let l=(o=(i=this.context).backgroundColorMap)==null?void 0:o.call(i,s);if(l)n.backgroundcolor=l;else{let c=s.match(/^\s*([\d.]+)\s*([a-z]{2})/);if(c)n.padding=c[0];else{let d=s.match(/^\s*border\s*:\s*(.*)/);d&&(n.border=d[1])}}}r=n}else e==="math"&&(this.beginContext({mode:"math"}),r=this.mathlist.concat(this.parse(a=>a==="]")),this.endContext());return r}parseCommand(e){var a,n,s,l,c,d,m;if(e==="\\placeholder"){let u=this.parseOptionalArgument("string"),p=this.parseOptionalArgument("math"),h=(a=this.parseArgument("string"))!=null?a:void 0;return[new te(this.context,{mode:this.parseMode,placeholderId:u,value:h,default:p,style:this.style})]}let r=null;if(e==="\\char"){let u=this.index,p=Math.floor((n=this.scanNumber(!0))!=null?n:Number.NaN);(!Number.isFinite(p)||p<0||p>1114111)&&(p=10067);let h="\\char"+Nr(this.tokens.slice(u,this.index));return r=new g(this.parseMode==="math"?"mord":"text",this.context,{command:"\\char",mode:this.parseMode,value:String.fromCodePoint(p),serialize:()=>h}),r.verbatimLatex=h,[r]}if(e==="\\hskip"||e==="\\kern"){let u=this.scanGlue();return u?[new Ye(e,this.style,this.context,u)]:null}if(r=this.scanMacro(e),r)return[r];let i=this.context.getDefinition(e,this.parseMode);if(!i)return this.onError({code:"unknown-command",arg:e}),[new Qt(e,this.context)];let o=this.index;if(i.definitionType==="symbol"){let u=b({},this.style);i.variant&&(u.variant=i.variant),r=new g((s=i.type)!=null?s:"mop",this.context,{command:e,style:u,value:String.fromCodePoint(i.codepoint),mode:this.parseMode})}else{if(i.ifMode&&!i.ifMode.includes(this.parseMode))return[];let u=this.parseMode;i.applyMode&&(this.parseMode=i.applyMode);let[p,h]=this.parseArguments(i);if(this.parseMode=u,!h)return null;if(i.applyMode&&!i.applyStyle&&!i.createAtom)return h[0];if(i.infix)return this.onError({code:"too-many-infix-commands",arg:e}),null;if(typeof i.createAtom=="function")r=i.createAtom(e,h,this.style,this.context),p&&(r.body=(l=this.parseArgument(p))!=null?l:void 0);else if(typeof i.applyStyle=="function"){let y=i.applyStyle(e,h,this.context),v=this.parseMode;if(i.applyMode&&(this.parseMode=i.applyMode),p){let S=this.style;this.style=b(b({},this.style),y);let M=this.parseArgument(p);return this.style=S,this.parseMode=v,M}this.style=b(b({},this.style),y),this.parseMode=v}else r=new g("mop",this.context,{command:(c=i.command)!=null?c:e,style:b({},this.style),value:e,mode:(d=i.applyMode)!=null?d:this.parseMode})}if(r instanceof g&&r.verbatimLatex===void 0&&!/^\\(llap|rlap|class|cssId|htmlData)$/.test(e)&&(r.verbatimLatex=((m=r.command)!=null?m:"")+Nr(this.tokens.slice(o,this.index)),r.verbatimLatex.length===0&&(r.verbatimLatex=void 0),r.isFunction&&this.smartFence)){let u=this.scanSmartFence();if(u)return[r,u]}return r?[r]:null}parseLiteral(e){let r=Pe.createAtom(this.parseMode,e,this.context,b({},this.style));if(!r)return null;if(r.isFunction&&this.smartFence){let i=this.scanSmartFence();if(i)return[r,i]}return[r]}parseSimpleToken(){let e=this.get();return e?e==="<space>"?this.parseMode==="text"?[new Ze(" "," ",this.style,this.context)]:null:e.startsWith("\\")?this.parseCommand(e):ro(e)?this.parseLiteral(e):(e==="<}>"?this.onError({latex:"",code:"unbalanced-braces"}):this.onError({latex:"",code:"unexpected-token",arg:e}),null):null}scanMacro(e){var n;let r=this.context.getMacro(e);if(!r)return null;let i=this.index,o=r.args,a={"?":(n=this.args)==null?void 0:n.call(this,"?")};for(let s=1;s<=o;s++)a[s]=this.matchLiteralArg();return new er(e,this.context,{expand:r.expand,captureSelection:r.captureSelection,args:Nr(this.tokens.slice(i,this.index)),body:xe(r.def,this.context,{parseMode:this.parseMode,args:s=>a[s],mathstyle:this.currentContext.mathstyle})})}parseToken(){var r,i,o,a;let e=(a=(o=(i=(r=this.parseEnvironment())!=null?r:this.parseModeShift())!=null?i:this.parseModeSet())!=null?o:this.parseGroup())!=null?a:this.parseLeftRight();if(e===null){if(this.parseSupSub()||this.parseLimits())return!0;e=this.parseSimpleToken()}return Q(e)?this.mathlist.push(...e):e&&this.mathlist.push(e),e!==null}};function xe(t,e,r){var n,s,l;let i=(n=r==null?void 0:r.args)!=null?n:null,o=new Vr(fr(t,i),e,{args:i,mathstyle:(s=r==null?void 0:r.mathstyle)!=null?s:"displaystyle",parseMode:(l=r==null?void 0:r.parseMode)!=null?l:"math"}),a=[];for(;!o.end();)a.push(...o.parse());return a}function io(t,e,r){var o;let i=new Vr(fr(t,null),e,{args:null,mathstyle:"displaystyle",parseMode:(o=r==null?void 0:r.parseMode)!=null?o:"math"});for(;!i.end();)i.parse();return i.errors}function Kn(t,e,r){return typeof t=="object"&&"glue"in t?t:typeof t=="object"&&"dimension"in t?{glue:t}:typeof t=="number"?{glue:{dimension:t}}:new Vr(fr(t),e,{registers:r}).scanGlue()}function br(t,e,r){return typeof 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i=r.parent,o=r.treeBranch,a;switch(e){case"row":if(i.rowCount>1){i.removeRow(o[0]);let n=i.getCell(Math.max(0,o[0]-1),o[1]);a=t.offsetOf(n[n.length-1])}break;case"column":if(i.colCount>i.minColumns){i.removeColumn(o[1]);let n=i.getCell(o[0],Math.max(0,o[1]-1));a=t.offsetOf(n[n.length-1])}break}a&&t.setPositionHandlingPlaceholder(a)}}function Uc(t){return W(t,{inputType:"deleteContent"})?(xs(t,"row"),re(t,{inputType:"deleteContent"}),!0):!1}function Wc(t){return W(t,{inputType:"deleteContent"})?(xs(t,"column"),re(t,{inputType:"deleteContent"}),!0):!1}fe({addRowAfter:La,addColumnAfter:Ca,addRowBefore:Gc,addColumnBefore:Jc,removeRow:Uc,removeColumn:Wc},{target:"model",category:"array-edit"});function Di(t,e,r,i){var a,n,s,l,c,d;let o=r.parent;if(o&&r instanceof ue){let m=!i&&e==="forward"||i==="body"&&e==="backward",u=m?t.offsetOf(r.firstChild):t.offsetOf(r.lastChild);return 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vs(t){return W(t,{inputType:"deleteContentBackward"})?t.selectionIsCollapsed?t.deferNotifications({content:!0,selection:!0,type:"deleteContentBackward"},()=>{let e=t.at(t.position);if(!(e&&Di(t,"backward",e))){if(e!=null&&e.isFirstSibling){if(Di(t,"backward",e.parent,e.treeBranch))return;e=null}if(!e){t.announce("plonk");return}t.position=t.offsetOf(e.leftSibling),e.parent.removeChild(e),t.announce("delete",void 0,[e])}}):xt(t,Me(t.selection),"deleteContentBackward"):!1}function ks(t){return W(t,{inputType:"deleteContentForward"})?t.selectionIsCollapsed?t.deferNotifications({content:!0,selection:!0,type:"deleteContentForward"},()=>{var i,o;let e=t.at(t.position).rightSibling;if(e&&Di(t,"forward",e))return;if(e){if(t.at(t.position).isLastSibling&&Di(t,"forward",e.parent,e.treeBranch))return}else{if(e=t.at(t.position),e.isLastSibling&&Di(t,"forward",e.parent,e.treeBranch))return;e=void 0}if(t.position===t.lastOffset||!e){t.announce("plonk");return}e.parent.removeChild(e);let r=(i=t.at(t.position))==null?void 0:i.rightSibling;for(;(r==null?void 0:r.type)==="msubsup";)r.parent.removeChild(r),r=(o=t.at(t.position))==null?void 0:o.rightSibling;t.announce("delete",void 0,[e])}):xt(t,Me(t.selection),"deleteContentForward"):!1}function xt(t,e,r){let i=t.getAtoms(e);if(i.length>0&&i[0].parent){let o=i[0].parent.firstChild;o.type==="first"&&(o=o.rightSibling);let a=i[i.length-1].parent.lastChild,n=i[0];n.type==="first"&&(n=n.rightSibling);let s=i[i.length-1];if(n===o&&s===a){let l=i[0].parent;l.type!=="root"&&(e=[t.offsetOf(l.leftSibling),t.offsetOf(l.rightSibling)])}}return t.deferNotifications({content:!0,selection:!0,type:r},()=>t.deleteAtoms(e))}function ws(t,e){let r=t.at(t.position);if(r.type==="composition")r.value=e;else{let{caret:i}=r;r.caret="";let o=new tr(e,t.mathfield,{mode:r.mode});o.caret=i,r.parent.addChildAfter(o,r),t.position+=1}}function Ss(t){let e=t.at(t.position);e.type==="composition"&&(e.parent.removeChild(e),t.position-=1)}function 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                <li class='keycap tex' data-alt-keys='^' data-insert='#@^{#?}' data-latex='x^\\placeholder'></li>
                <li class='keycap tex small' data-insert='\\sqrt{#0}' data-latex='\\sqrt{#0}'></li>
            </ul>
            <ul>
                <li class='keycap tex' data-alt-keys='(' >(</li>
                <li class='keycap tex' data-alt-keys=')' >)</li>
                <li class='separator w5'></li>
                <row name='numpad-3'/>
                <li class='separator w5'></li>
                <li class='keycap small' data-alt-keys='int' data-latex='\\int_0^\\infty'></li>
                <li class='keycap' data-latex='\\forall' data-alt-keys='logic' ></li>
                <li class='action font-glyph bottom right' data-alt-keys='delete' data-command='["performWithFeedback","deleteBackward"]'><svg class="svg-glyph"><use xlink:href="#svg-delete-backward" /></svg></li></ul>
            </ul>
            <ul>
                <li class='keycap' data-alt-keys='foreground-color' data-command='["applyStyle",{"color":"red"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428; box-sizing: border-box'></span></li>
                <li class='keycap' data-alt-keys='background-color' data-command='["applyStyle",{"backgroundColor":"yellow"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590; box-sizing: border-box'></span></li>
                <li class='separator w5'></li>
                <row name='numpad-4'/>
                <li class='separator w5'></li>
                <arrows/>
            </ul>
        </div>
    `,"lower-roman":`
        <div class='rows'>
            <ul>
                <row name='numpad-1' class='if-wide'/>
                <row name='lower-1' shift-layer='upper-roman'/>
            </ul>
            <ul>
                <row name='numpad-2' class='if-wide'/>
                <row name='lower-2'  shift-layer='upper-roman''/>
            </ul>
            <ul>
                <row name='numpad-3' class='if-wide'/>
                <row name='lower-3'  shift-layer='upper-roman''/>
            </ul>
            <ul>
                <row name='numpad-4' class='if-wide'/>
                <li class='keycap' >;</li>
                <li class='keycap' >,</li>
                <li class='keycap w50' data-key=' ' data-alt-keys='space'>&nbsp;</li>
                <arrows/>
            </ul>
        </div>`,"upper-roman":`
        <div class='rows'>
            <ul>
                <row name='numpad-1' class='if-wide'/>
                <row name='upper-1'  shift-layer='lower-roman'/>
            </ul>
            <ul>
                <row name='numpad-2' class='if-wide'/>
                <row name='upper-2' shift-layer='lower-roman'/>
            </ul>
            <ul>
                <row name='numpad-3' class='if-wide'/>
                <row name='upper-3' shift-layer='lower-roman'/>
            </ul>
            <ul>
                <row name='numpad-4' class='if-wide'/>
                <li class='keycap' >;</li>
                <li class='keycap' data-alt-keys='.'>;</li>
                <li class='keycap w50' data-key=' '>&nbsp;</li>
                <arrows/>
            </ul>
        </div>`,symbols:`
        <div class='rows'>
            <ul>
                <row name='numpad-1' class='if-wide'/>
                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrace '>{</li>
                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrace '>}</li>
                <li class='separator w5'></li>
                <li class='keycap tex small' data-alt-keys='xleftarrows' data-latex='\\leftarrow' ></li>
                <li class='keycap tex small' data-alt-keys='xrightarrows' data-latex='\\rightarrow' ></li>
                <li class='keycap tex' data-alt-keys='overline' data-latex='\\overline{#@}' data-aside='overline'></li>
                <li class='keycap tex' data-alt-keys='underline' data-latex='\\underline{#@}' data-aside='underline'></li>
                <li class='keycap w15' data-insert='\\ulcorner#0\\urcorner '><span><sup>&#x250c;</sup><span><span style='color:#ddd'>o</span><sup>&#x2510;</sup></span><aside>ceil</aside></li>
                <li class='keycap tex' data-alt-keys='nabla' data-insert='\\nabla '>&#x2207;<aside>nabla</aside></li>
                <li class='keycap tex' data-alt-keys='infinity' data-insert='\\infty '>&#x221e;</li>

            </ul>
            <ul>
                <row name='numpad-2' class='if-wide'/>
                <li class='keycap tex' data-alt-keys='(' data-insert='\\lbrack '>[</li>
                <li class='keycap tex' data-alt-keys=')' data-insert='\\rbrack '>]</li>
                <li class='separator w5'></li>

                <li class='keycap tex' data-alt-keys='in' data-insert='\\in '>&#x2208;</li>
                <li class='keycap tex' data-alt-keys='!in' data-insert='\\notin '>&#x2209;</li>
                <li class='keycap tex' data-insert='\\Re '>&#x211c;<aside>Real</aside></li>
                <li class='keycap tex' data-insert='\\Im '>&#x2111;<aside>Imaginary</aside></li>
                <li class='keycap w15' data-insert='\\llcorner#0\\lrcorner '><span><sub>&#x2514;</sub><span style='color:#ddd'>o</span><sub>&#x2518;</sub></span><aside>floor</aside></li>

                <li class='keycap tex' data-insert='\\partial '>&#x2202;<aside>partial<br>derivative</aside></li>
                <li class='keycap tex' data-insert='\\emptyset '>&#x2205;<aside>empty set</aside></li>

            </ul>
            <ul>
                <row name='numpad-3' class='if-wide'/>
                <li class='keycap tex' data-alt-keys='(' data-insert='\\langle '>&#x27e8;</li>
                <li class='keycap tex' data-alt-keys=')' data-insert='\\rangle '>&#x27e9;</li>
                <li class='separator w5'></li>
                <li class='keycap tex' data-alt-keys='subset' data-insert='\\subset '>&#x2282;</li>
                <li class='keycap tex' data-alt-keys='superset' data-insert='\\supset '>&#x2283;</li>

                <li class='keycap tex' data-alt-keys='accents' data-insert='\\vec{#@}' data-latex='\\vec{#?}' data-aside='vector'></li>
                <li class='keycap tex' data-alt-keys='absnorm' data-insert='\\left| #0 \\right|' data-latex='\\left| #? \\right|' data-aside='abs'></li>

                <li class='keycap tex' data-key='!' data-alt-keys='!'>!<aside>factorial</aside></li>
                <li class='keycap' data-latex='^{\\prime} '><span><sup><span><span style='color:#ddd'>o</span>&#x2032</sup></span><aside>prime</aside></li>

                <li class='action font-glyph bottom right w15'
                    data-shifted='<span class="warning"><svg class="svg-glyph"><use xlink:href="#svg-trash" /></svg></span>'
                    data-shifted-command='"deleteAll"'
                    data-alt-keys='delete' data-command='["performWithFeedback","deleteBackward"]'
                ><svg class="svg-glyph"><use xlink:href="#svg-delete-backward" /></svg></li>
            </ul>
            <ul>
                <row name='numpad-4' class='if-wide'/>
                <li class='keycap tex' data-insert=','>,</li>
                <li class='keycap tex' data-insert='\\cdot '>&#x22c5;<aside>centered dot</aside></li>
                <li class='keycap tex' data-insert='\\colon '>:<aside>colon</aside></li>
                <li class='keycap tex' data-insert='\\circ '>&#x2218;<aside>circle</aside></li>
                <li class='keycap tex' data-insert='\\approx '>&#x2248;<aside>approx.</aside></li>
                <li class='keycap tex' data-insert='\\ne '>&#x2260;</li>
                <li class='keycap tex' data-insert='\\pm '>&#x00b1;</li>
                <arrows/>
            </ul>
        </div>`,"lower-greek":`
        <div class='rows'>
            <ul><li class='keycap tex' data-insert='\\varphi '><i>&#x03c6;</i><aside>phi var.</aside></li>
                <li class='keycap tex' data-insert='\\varsigma '><i>&#x03c2;</i><aside>sigma var.</aside></li>
                <li class='keycap tex' data-insert='\\epsilon '><i>&#x03f5;</i></li>
                <li class='keycap tex' data-insert='\\rho '><i>&rho;</i></li>
                <li class='keycap tex' data-insert='\\tau '><i>&tau;</i></li>
                <li class='keycap tex' data-insert='\\upsilon '><i>&upsilon;</i></li>
                <li class='keycap tex' data-insert='\\theta '><i>&theta;</i></li>
                <li class='keycap tex' data-insert='\\iota '><i>&iota;</i></li>
                <li class='keycap tex' data-insert='\\omicron '>&omicron;</i></li>
                <li class='keycap tex' data-insert='\\pi '><i>&pi;</i></li>
            </ul>
            <ul><li class='keycap tex' data-insert='\\alpha ' data-shifted='&Alpha;' data-shifted-command='["insert","\\\\char\\"391"]'><i>&alpha;</i></li>
                <li class='keycap tex' data-insert='\\sigma '><i>&sigma;</i></li>
                <li class='keycap tex' data-insert='\\delta '><i>&delta;</i></li>
                <li class='keycap tex' data-insert='\\phi '><i>&#x03d5;</i></i></li>
                <li class='keycap tex' data-insert='\\gamma '><i>&gamma;</i></li>
                <li class='keycap tex' data-insert='\\eta '><i>&eta;</i></li>
                <li class='keycap tex' data-insert='\\xi '><i>&xi;</i></li>
                <li class='keycap tex' data-insert='\\kappa '><i>&kappa;</i></li>
                <li class='keycap tex' data-insert='\\lambda '><i>&lambda;</i></li>
            </ul>
            <ul><li class='shift modifier font-glyph bottom left w15 layer-switch' data-layer='upper-greek'><svg class="svg-glyph"><use xlink:href="#svg-shift" /></svg></li>
                <li class='keycap tex' data-insert='\\zeta '><i>&zeta;</i></li>
                <li class='keycap tex' data-insert='\\chi '><i>&chi;</i></li>
                <li class='keycap tex' data-insert='\\psi '><i>&psi;</i></li>
                <li class='keycap tex' data-insert='\\omega '><i>&omega;</i></li>
                <li class='keycap tex' data-insert='\\beta '><i>&beta;</i></li>
                <li class='keycap tex' data-insert='\\nu '><i>&nu;</i></li>
                <li class='keycap tex' data-insert='\\mu '><i>&mu;</i></li>
                <li class='action font-glyph bottom right w15'
                    data-shifted='<span class="warning"><svg class="svg-glyph"><use xlink:href="#svg-trash" /></svg></span>'
                    data-shifted-command='"deleteAll"'
                    data-alt-keys='delete' data-command='["performWithFeedback","deleteBackward"]'
                ><svg class="svg-glyph"><use xlink:href="#svg-delete-backward" /></svg></li>
            </ul>
            <ul>
                <li class='keycap ' data-key=' '>&nbsp;</li>
                <li class='keycap'>,</li>
                <li class='keycap tex' data-insert='\\varepsilon '><i>&#x03b5;</i><aside>epsilon var.</aside></li>
                <li class='keycap tex' data-insert='\\vartheta '><i>&#x03d1;</i><aside>theta var.</aside></li>
                <li class='keycap tex' data-insert='\\varkappa '><i>&#x3f0;</i><aside>kappa var.</aside></li>
                <li class='keycap tex' data-insert='\\varpi '><i>&#x03d6;<aside>pi var.</aside></i></li>
                <li class='keycap tex' data-insert='\\varrho '><i>&#x03f1;</i><aside>rho var.</aside></li>
                <arrows/>
            </ul>
        </div>`,"upper-greek":`
        <div class='rows'>
            <ul><li class='keycap tex' data-insert='\\Phi '>&Phi;<aside>phi</aside></li>
                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>
                <li class='keycap tex' data-insert='\\char"0190'>&#x0190;<aside>epsilon</aside></li>
                <li class='keycap tex' data-insert='\\char"3A1'>&#x3A1;<aside>rho</aside></li>
                <li class='keycap tex' data-insert='\\char"3A4'>&#x3A4;<aside>tau</aside></li>
                <li class='keycap tex' data-insert='\\Upsilon '>&Upsilon;<aside>upsilon</aside></li>
                <li class='keycap tex' data-insert='\\Theta '>&Theta;<aside>theta</aside></li>
                <li class='keycap tex' data-insert='\\char"399'>&Iota;<aside>iota</aside></li>
                <li class='keycap tex' data-insert='\\char"39F'>&#x039F;<aside>omicron</aside></li>
                <li class='keycap tex' data-insert='\\Pi '>&Pi;<aside>pi</aside></li></ul>
            <ul><li class='keycap tex' data-insert='\\char"391'>&#x391;<aside>alpha</aside></li>
                <li class='keycap tex' data-insert='\\Sigma '>&Sigma;<aside>sigma</aside></li>
                <li class='keycap tex' data-insert='\\Delta '>&Delta;<aside>delta</aside></li>
                <li class='keycap tex' data-insert='\\Phi '>&#x03a6;<aside>phi</aside></li>
                <li class='keycap tex' data-insert='\\Gamma '>&Gamma;<aside>gamma</aside></li>
                <li class='keycap tex' data-insert='\\char"397'>&Eta;<aside>eta</aside></li>
                <li class='keycap tex' data-insert='\\Xi '>&Xi;<aside>xi</aside></li>
                <li class='keycap tex' data-insert='\\char"39A'>&Kappa;<aside>kappa</aside></li>
                <li class='keycap tex' data-insert='\\Lambda '>&Lambda;<aside>lambda</aside></li></ul>
            <ul><li class='shift modifier font-glyph bottom left selected w15 layer-switch' data-layer='lower-greek'><svg class="svg-glyph"><use xlink:href="#svg-shift" /></svg></li>
                <li class='keycap tex' data-insert='\\char"396'>&Zeta;<aside>zeta</aside></li>
                <li class='keycap tex' data-insert='\\char"3A7'>&Chi;<aside>chi</aside></li>
                <li class='keycap tex' data-insert='\\Psi '>&Psi;<aside>psi</aside></li>
                <li class='keycap tex' data-insert='\\Omega '>&Omega;<aside>omega</aside></li>
                <li class='keycap tex' data-insert='\\char"392'>&Beta;<aside>beta</aside></li>
                <li class='keycap tex' data-insert='\\char"39D'>&Nu;<aside>nu</aside></li>
                <li class='keycap tex' data-insert='\\char"39C'>&Mu;<aside>mu</aside></li>
                <li class='action font-glyph bottom right w15' data-command='["performWithFeedback","deleteBackward"]'><svg class="svg-glyph"><use xlink:href="#svg-delete-backward" /></svg></li></ul>
            <ul>
                <li class='separator w10'>&nbsp;</li>
                <li class='keycap'>.</li>
                <li class='keycap w50' data-key=' '>&nbsp;</li>
                <arrows/>
            </ul>
        </div>`,functions:`
        <div class='rows'>
            <ul><li class='separator'></li>
                <li class='fnbutton' data-insert='\\sin'></li>
                <li class='fnbutton' data-insert='\\sin^{-1}'></li>
                <li class='fnbutton' data-insert='\\ln'></li>
                <li class='fnbutton' data-insert='\\exponentialE^{#?}'></li>
                <li class='bigfnbutton' data-insert='\\operatorname{lcm}(#?)' data-latex='\\operatorname{lcm}()'></li>
                <li class='bigfnbutton' data-insert='\\operatorname{ceil}(#?)' data-latex='\\operatorname{ceil}()'></li>
                <li class='bigfnbutton' data-insert='\\lim_{n\\to\\infty}'></li>
                <li class='bigfnbutton' data-insert='\\int'></li>
                <li class='bigfnbutton' data-insert='\\operatorname{abs}(#?)' data-latex='\\operatorname{abs}()'></li>
            </ul>
            <ul><li class='separator'></li>
                <li class='fnbutton' data-latex='\\cos'></li>
                <li class='fnbutton' data-latex='\\cos^{-1}'></li>
                <li class='fnbutton' data-latex='\\log'></li>
                <li class='fnbutton' data-latex='10^{#?}'></li>
                <li class='bigfnbutton' data-latex='\\operatorname{gcd}(#?)' data-latex='\\operatorname{gcd}()'></li>
                <li class='bigfnbutton' data-latex='\\operatorname{floor}(#?)' data-latex='\\operatorname{floor}()'></li>
                <li class='bigfnbutton' data-latex='\\sum_{n\\mathop=0}^{\\infty}'></li>
                <li class='bigfnbutton' data-latex='\\int_{0}^{\\infty}'></li>
                <li class='bigfnbutton' data-latex='\\operatorname{sign}(#?)' data-latex='\\operatorname{sign}()'></li>
            </ul>
            <ul><li class='separator'></li>
                <li class='fnbutton' data-latex='\\tan'></li>
                <li class='fnbutton' data-latex='\\tan^{-1}'></li>
                <li class='fnbutton' data-latex='\\log_{#?}'></li>
                <li class='fnbutton' data-latex='\\sqrt[#?]{#0}'></li>
                <li class='bigfnbutton' data-insert='#0 \\mod' data-latex='\\mod'></li>
                <li class='bigfnbutton' data-insert='\\operatorname{round}(#?) ' data-latex='\\operatorname{round}()'></li>
                <li class='bigfnbutton' data-insert='\\prod_{n\\mathop=0}^{\\infty}' data-latex='{\\scriptstyle \\prod_{n=0}^{\\infty}}'></li>
                <li class='bigfnbutton' data-insert='\\frac{\\differentialD #0}{\\differentialD x}'></li>
                <li class='action font-glyph bottom right' data-command='["performWithFeedback","deleteBackward"]'><svg class="svg-glyph"><use xlink:href="#svg-delete-backward" /></svg></li></ul>
            <ul><li class='separator'></li>
                <li class='fnbutton'>(</li>
                <li class='fnbutton'>)</li>
                <li class='fnbutton' data-insert='^{#?}' data-latex='x^{#?}'></li>
                <li class='fnbutton' data-insert='_{#?}' data-latex='x_{#?}'></li>
                <li class='keycap w20 ' data-key=' '>&nbsp;</li>
                <arrows/>
            </ul>
        </div>`,style:`
        <div class='rows'>
            <ul>
                <li class='keycap' data-alt-keys='foreground-color' data-command='["applyStyle",{"color":"red"}]'><span style='border-radius: 50%;width:22px;height:22px; border: 3px solid #cc2428'></span></li>
                <li class='keycap' data-alt-keys='background-color' data-command='["applyStyle",{"backgroundColor":"yellow"}]'><span style='border-radius: 50%;width:22px;height:22px; background:#fff590'></span></li>
                <li class='separator w5'></li>
                <li class='keycap' data-command='["applyStyle",{"size":"3"}]' data-latex='\\scriptsize\\text{small}'></li>
                <li class='keycap' data-command='["applyStyle",{"size":"5"}]' data-latex='\\scriptsize\\text{normal}'></li>
                <li class='keycap' data-command='["applyStyle",{"size":"9"}]' data-latex='\\huge\\text{big}'></li>
                <li class='separator w5'></li>
                <li class='keycap' data-latex='\\langle' data-command='["insert", "\\\\langle", {"smartFence":true}]'></li>
            </ul>
            <ul>
                <li class='keycap' data-command='["applyStyle",{"series":"l"}]' data-latex='\\fontseries{l}\\text{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"series":"m"}]' data-latex='\\fontseries{m}\\text{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"series":"b"}]' data-latex='\\fontseries{b}\\text{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"series":"bx"}]' data-latex='\\fontseries{bx}\\text{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"series":"sb"}]' data-latex='\\fontseries{sb}\\text{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"series":"c"}]' data-latex='\\fontseries{c}\\text{Ab}'></li>
            </ul>
            <ul>
                <li class='keycap' data-command='["applyStyle",{"shape":"up"}]' data-latex='\\textup{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"shape":"it"}]' data-latex='\\textit{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"shape":"sl"}]' data-latex='\\textsl{Ab}'></li>
                <li class='keycap' data-command='["applyStyle",{"shape":"sc"}]' data-latex='\\textsc{Ab}'></li>
                <li class='separator w5'></li>
                <li class='keycap' data-insert='\\emph{#@} ' data-latex='\\text{\\emph{emph}}'></li>
            </ul>
            <ul>
                <li class='keycap' data-command='["applyStyle",{"fontFamily":"cmr"}]' data-latex='\\textrm{Az}'></li>
                <li class='keycap' data-command='["applyStyle",{"fontFamily":"cmtt"}]' data-latex='\\texttt{Az}'></li>
                <li class='keycap' data-command='["applyStyle",{"fontFamily":"cmss"}]' data-latex='\\textsf{Az}'></li>

                <li class='keycap' data-command='["applyStyle",{"fontFamily":"bb"}]'  data-latex='\\mathbb{AZ}'></li>
                <li class='keycap' data-command='["applyStyle",{"fontFamily":"scr"}]'  data-latex='\\mathscr{AZ}'></li>
                <li class='keycap' data-command='["applyStyle",{"fontFamily":"cal"}]' data-latex='\\mathcal{A1}'></li>
                <li class='keycap' data-command='["applyStyle",{"fontFamily":"frak"}]' data-latex='\\mathfrak{Az}'></li>
            </ul>
        </div>`};function Es(t,e){t=t.replace(/(^|[^\\])#@/g,"$1#?");let r=Mt(),i=new g("root",r);i.body=xe(t,r,{parseMode:"math",args:e});let o=Zt(ft(new w(i.render(new B({registers:r.registers},{fontSize:je},"displaystyle")),{classes:"ML__base"})));return Xe(o,{classes:"ML__mathlive"}).toMarkup()}function od(t,e,r){var l,c,d;let i="<div class='left'>",o=e.replace(/\s+/g," ").split(" ");if(o.length>1){let m=b(b({},Bs),(l=t.customVirtualKeyboards)!=null?l:{});for(let u of o){if(!m[u])break;i+="<div class='",u===r?i+="selected ":m[u].command?i+="action ":i+="layer-switch ",i+=((c=m[u].classes)!=null?c:"")+"'",m[u].tooltip&&(i+="data-tooltip='"+((d=pr(m[u].tooltip))!=null?d:m[u].tooltip)+"' "),u!==r&&(typeof m[u].command=="string"?i+=`data-command='"${m[u].command}"'`:Array.isArray(m[u].command)&&(i+=`data-command='${JSON.stringify(m[u].command)}'`),m[u].layer&&(i+="data-layer='"+m[u].layer+"'")),i+=">"+m[u].label+"</div>"}}i+="</div>";let n=t.virtualKeyboardToolbar==="default"?["copyToClipboard","undo","redo"]:[],s={copyToClipboard:`
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                data-tooltip='${pr("tooltip.copy to clipboard")}'>
                <svg><use xlink:href='#svg-copy' /></svg>
            </div>
        `,undo:`
            <div class='action disabled'
                data-command='"undo"'
                data-tooltip='${pr("tooltip.undo")}'>
                <svg><use xlink:href='#svg-undo' /></svg>
            </div>
        `,redo:`
            <div class='action disabled'
                data-command='"redo"'
                data-tooltip='${pr("tooltip.redo")}'>
                <svg><use xlink:href='#svg-redo' /></svg>
            </div>
        `};return n.length>0&&(i+=`
            <div class='right'>
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s=a;s.virtualKeyboardMode==="onfocus"&&s.virtualKeyboardState==="hidden"&&(s.virtualKeyboardState="visible")}}),document.addEventListener("focusout",o=>{var n;let a=o.target;a!=null&&a.isConnected&&((n=a.tagName)==null?void 0:n.toLowerCase())==="math-field"&&setTimeout(()=>{var s,l;if(((l=(s=document.activeElement)==null?void 0:s.tagName)==null?void 0:l.toLowerCase())!=="math-field"){let c=document.querySelector("math-field");c&&(c.virtualKeyboardState="hidden")}},300)})}static get defaultOptions(){var r,i;return{createHTML:o=>o,fontsDirectory:"./fonts",soundsDirectory:"./sounds",targetOrigin:globalThis.origin,originValidator:"same-origin",virtualKeyboards:"all",virtualKeyboardLayout:"auto",customVirtualKeyboardLayers:{},customVirtualKeyboards:{},virtualKeyboardTheme:/macos|ios/.test(Tt())?"apple":"material",keypressVibration:!0,keypressSound:null,plonkSound:null,virtualKeyboardToolbar:"default",computeEngine:null,virtualKeyboardContainer:(i=(r=globalThis.document)==null?void 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t.fontsDirectory&&(e.fontsDirectory=t.fontsDirectory),t.soundsDirectory&&(e.soundsDirectory=t.soundsDirectory),t.virtualKeyboards&&(e.virtualKeyboards=t.virtualKeyboards),t.virtualKeyboardLayout&&(e.virtualKeyboardLayout=t.virtualKeyboardLayout),t.customVirtualKeyboardLayers&&(e.customVirtualKeyboardLayers=t.customVirtualKeyboardLayers),t.customVirtualKeyboards&&(e.customVirtualKeyboards=t.customVirtualKeyboards),t.virtualKeyboardTheme&&(e.virtualKeyboardTheme=t.virtualKeyboardTheme),t.keypressVibration&&(e.keypressVibration=t.keypressVibration),t.keypressSound&&(e.keypressSound=t.keypressSound),t.plonkSound&&(e.plonkSound=t.plonkSound),t.virtualKeyboardToolbar&&(e.virtualKeyboardToolbar=t.virtualKeyboardToolbar),t.targetOrigin&&(e.targetOrigin=t.targetOrigin),t.originValidator&&(e.originValidator=t.originValidator),e}var Ga,Ja,Md=.5,Bo=class{constructor(e,r){this.focusBlurInProgress=!1;this.stylesheets=[];this.audioBuffers={};var 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a=0,n=this.element.children[a++].firstElementChild;this.field=this.element.children[a].children[0],a++,this.virtualKeyboardToggle=this.element.querySelector(".ML__virtual-keyboard-toggle"),this.ariaLiveText=this.element.children[a].children[0],this.accessibleNode=this.element.children[a++].children[1],this.keystrokeCaptionVisible=!1,this.popoverVisible=!1,this.suggestionIndex=0,this.inlineShortcutBuffer=[],this.inlineShortcutBufferFlushTimer=0,this.mode=bo(this.options),this.smartModeSuppressed=!1,this.style={},!this.options.readOnly&&this.options.virtualKeyboardMode==="manual"?this.virtualKeyboardToggle.classList.add("is-visible"):this.virtualKeyboardToggle.classList.remove("is-visible"),this.options.readOnly?this.element.classList.add("ML__isReadOnly"):this.element.classList.remove("ML__isReadOnly"),this.options.defaultMode==="inline-math"?this.element.classList.add("ML__isInline"):this.element.classList.remove("ML__isInline"),this.element.querySelector(".ML__content").addEventListener("click",d=>d.stopImmediatePropagation(),{capture:!1}),this.field.addEventListener("wheel",this,{passive:!1}),Zr(this.virtualKeyboardToggle,d=>this.executeCommand(d),{default:"toggleVirtualKeyboard",alt:"toggleVirtualKeyboardAlt",shift:"toggleVirtualKeyboardShift"}),this.blurred=!0,ve(this.element,"focus",this),ve(this.element,"blur",this),this.keyboardDelegate=Ts(n,this.element,{typedText:d=>Ri(this,d),cut:d=>{if(this.options.readOnly){this.model.announce("plonk");return}W(this.model,{inputType:"deleteByCut"})&&(this.snapshot(),Y.onCopy(this,d),setTimeout(()=>{xt(this.model,Me(this.model.selection),"deleteByCut"),ae(this)},0))},copy:d=>Y.onCopy(this,d),paste:d=>{let m=!0;return this.options.readOnly&&(m=!1),m&&(m=Y.onPaste(this.model.at(this.model.position).mode,this,d)),m||this.model.announce("plonk"),m},keystroke:(d,m)=>qa(this,d,m),focus:()=>this.onFocus(),blur:()=>this.onBlur(),compositionStart:d=>this.onCompositionStart(d),compositionUpdate:d=>this.onCompositionUpdate(d),compositionEnd:d=>this.onCompositionEnd(d)}),q()&&"PointerEvent"in window?ve(this.field,"pointerdown",this):ve(this.field,"touchstart:active mousedown",this),ve(window,"resize",this),window.addEventListener("blur",()=>{Gt(this)&&this.hasFocus()&&window.addEventListener("focus",d=>{d.target===window&&Gt(this)&&this.focus()},{once:!0})},{capture:!0}),this.model=new Ei({mode:bo(this.options),macros:this.options.macros,removeExtraneousParentheses:this.options.removeExtraneousParentheses},{onSelectionDidChange:d=>this._onSelectionDidChange()},this),this.undoManager=new Mo(this.model),i&&Y.insert("math",this.model,i,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",suppressChangeNotifications:!0}),this.undoManager.startRecording(),this.undoManager.snapshot(),this.model.setListeners({onSelectionDidChange:d=>this._onSelectionDidChange()}),Jt&&!this.options.locale.startsWith(Jt.locale)&&ha(this.options.locale),ae(this),q()&&document.fonts.ready.then(()=>Ot(this))}get audioContext(){return this._audioContext||(this._audioContext=new AudioContext),this._audioContext}get colorMap(){return e=>{var i;let r;return typeof((i=this.options)==null?void 0:i.colorMap)=="function"&&(r=this.options.colorMap(e)),r||(r=hr(e)),r}}get backgroundColorMap(){return e=>{var i;let r;return typeof((i=this.options)==null?void 0:i.backgroundColorMap)=="function"&&(r=this.options.backgroundColorMap(e)),!r&&typeof this.options.colorMap=="function"&&(r=this.options.colorMap(e)),r||(r=Br(e)),r}}get fractionNavigationOrder(){var e,r;return(r=(e=this.options)==null?void 0:e.fractionNavigationOrder)!=null?r:"numerator-denominator"}get placeholderSymbol(){var e,r;return(r=(e=this.options)==null?void 0:e.placeholderSymbol)!=null?r:"\u25A2"}get smartFence(){var e,r;return(r=(e=this.options)==null?void 0:e.smartFence)!=null?r:!1}get letterShapeStyle(){var e,r;return(r=(e=this.options)==null?void 0:e.letterShapeStyle)!=null?r:"tex"}get registers(){var e,r;return(r=(e=this.options)==null?void 0:e.registers)!=null?r:{}}getDefinition(e,r="math"){return so(e,r)}getMacro(e){return Zo(e,this.options.macros)}get virtualKeyboard(){if(!this.options.readOnly)return this._virtualKeyboard||(this.options.useSharedVirtualKeyboard||de().sharedVirtualKeyboard?this._virtualKeyboard=new Do({targetOrigin:this.options.sharedVirtualKeyboardTargetOrigin,originValidator:this.options.originValidator,mathfield:this}):this._virtualKeyboard=new Qr(this.options,this)),this._virtualKeyboard}get computeEngine(){var e,r;if(this._computeEngine===void 0){let i=(e=globalThis[Symbol.for("io.cortexjs.compute-engine")])==null?void 0:e.ComputeEngine;i&&(this._computeEngine=new i),this._computeEngine&&this.options.decimalSeparator===","&&(this._computeEngine.latexOptions.decimalMarker="{,}")}return(r=this._computeEngine)!=null?r:null}get virtualKeyboardState(){var e;return(e=this.virtualKeyboard)!=null&&e.visible?"visible":"hidden"}set virtualKeyboardState(e){this.virtualKeyboard&&(e==="hidden"?this.virtualKeyboard.executeCommand("hideVirtualKeyboard"):e==="visible"&&this.virtualKeyboard.executeCommand("showVirtualKeyboard"))}get keybindings(){var i,o;if(this._keybindings)return this._keybindings;let[e,r]=rs(this.options.keybindings,(i=cr())!=null?i:pa);return((o=cr())==null?void 0:o.score)>0&&(this._keybindings=e,r.length>0),e}setOptions(e){var i,o;if(this.options=Ai(this.options,e),"computeEngine"in e&&(this._computeEngine=this.options.computeEngine),this._computeEngine&&"decimalSeparator"in e&&(this._computeEngine.latexOptions.decimalMarker=this.options.decimalSeparator===","?"{,}":"."),this.model.setListeners({onSelectionDidChange:a=>this._onSelectionDidChange()}),this.model.options.macros=this.options.macros,Jt&&!this.options.locale.startsWith(Jt.locale)&&ha(this.options.locale),this._keybindings=void 0,("soundsDirectory"in e||"plonkSound"in e||"keypressSound"in e||"spacebarKeypressSound"in e||"returnKeypressSound"in e||"deleteKeypressSound"in e)&&(this.audioBuffers={}),this.options.defaultMode==="inline-math"?this.element.classList.add("ML__isInline"):this.element.classList.remove("ML__isInline"),this.options.readOnly?(this.hasFocus()&&this.virtualKeyboardState==="visible"&&this.executeCommand("hideVirtualKeyboard"),this.onBlur(),this.element.classList.add("ML__isReadOnly")):this.element.classList.remove("ML__isReadOnly"),(i=this.virtualKeyboard)==null||i.setOptions(this.options),!this.options.readOnly&&this.options.virtualKeyboardMode==="manual"?this.virtualKeyboardToggle.classList.add("is-visible"):this.virtualKeyboardToggle.classList.remove("is-visible"),"virtualKeyboardToggleGlyph"in e){let a=(o=this.element)==null?void 0:o.querySelector(".ML__virtual-keyboard-toggle");a&&(a.innerHTML=this.options.createHTML(this.options.virtualKeyboardToggleGlyph))}let r=g.serialize(this.model.root,{expandMacro:!1,defaultMode:this.options.defaultMode});("macros"in e||this.model.getValue()!==r)&&Y.insert("math",this.model,r,{insertionMode:"replaceAll",selectionMode:"after",format:"latex",suppressChangeNotifications:!0}),ae(this)}getOptions(e){return dr(this.options,e)}getOption(e){return dr(this.options,e)}handleEvent(e){if(Gt(this))switch(e.type){case"focus":this.onFocus();break;case"blur":this.onBlur();break;case"touchstart":case"mousedown":Va(this,e);break;case"pointerdown":Va(this,e);break;case"resize":this.resizeTimer&&cancelAnimationFrame(this.resizeTimer),this.resizeTimer=requestAnimationFrame(()=>Gt(this)&&this.onResize());break;case"wheel":this.onWheel(e);break;default:}}dispose(){if(!Gt(this))return;let e=this.element;delete this.element,delete e.mathfield,e.innerHTML=this.model.getValue(),dt(e,"pointerdown",this),dt(e,"touchstart:active mousedown",this),dt(e,"focus",this),dt(e,"blur",this),dt(window,"resize",this),window.removeEventListener("blur",this,{capture:!0}),delete this.accessibleNode,delete this.ariaLiveText,delete this.field,delete this.fieldContent,this.virtualKeyboardToggle.remove(),delete this.virtualKeyboardToggle,this._virtualKeyboard&&(this._virtualKeyboard.dispose(),delete this._virtualKeyboard),ss(this),Is(this),this.stylesheets.forEach(r=>r==null?void 0:r.release())}flushInlineShortcutBuffer(e){if(e!=null||(e={defer:!1}),!e.defer){this.inlineShortcutBuffer=[],clearTimeout(this.inlineShortcutBufferFlushTimer),this.inlineShortcutBufferFlushTimer=0;return}this.options.inlineShortcutTimeout>0&&(clearTimeout(this.inlineShortcutBufferFlushTimer),this.inlineShortcutBufferFlushTimer=setTimeout(()=>this.flushInlineShortcutBuffer(),this.options.inlineShortcutTimeout))}executeCommand(e){var r,i;return Mr(e)==="virtual-keyboard"?(i=(r=this.virtualKeyboard)==null?void 0:r.executeCommand(e))!=null?i:!1:cs(this,e)}get errors(){return io(this.model.getValue(),this)}getValue(e,r,i){return this.model.getValue(e,r,i)}setValue(e,r){var o;r=r!=null?r:{mode:"math"},r.insertionMode===void 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o=$a(this,e),a=(s=i.operation)!=null?s:"set";this.model.deferNotifications({content:!i.suppressChangeNotifications,type:"insertText"},()=>{i.range===void 0?this.model.selection.ranges.forEach(l=>Bi(this.model,l,o,{operation:a})):Bi(this.model,i.range,o,{operation:a})}),ae(this)}getCaretPoint(){let e=Sr(this.field);return e?{x:e.x,y:e.y}:null}setCaretPoint(e,r){let i=mr(this,e,r,{bias:0});if(i<0)return!1;let o=this.model.position;return this.model.position=i,this.model.announce("move",o),ae(this),!0}getPlaceholderField(e){var r;return(r=this.placeholders.get(e))==null?void 0:r.field}attachNestedMathfield(){let e=!1,r=this.field.getBoundingClientRect();this.placeholders.forEach((i,o)=>{var d,m;let a=this.field.querySelector(`[data-placeholder-id=${o}]`);if(!a)return;let n=a.getBoundingClientRect(),s=0,l=n.left-r.left+((d=this.element.offsetLeft)!=null?d:0);(!i.field.style.left||Math.abs(l-parseFloat(i.field.style.left))>=1)&&(e=!0,i.field.style.left=`${l}px`);let 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e,r;this.undoManager.undo()&&((e=this.virtualKeyboard)==null||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),(r=this.host)==null||r.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"undo"}})))}redo(){var e,r;this.undoManager.redo()&&((e=this.virtualKeyboard)==null||e.executeCommand(["onUndoStateChanged",this.canUndo(),this.canRedo()]),(r=this.host)==null||r.dispatchEvent(new CustomEvent("undo-state-change",{bubbles:!0,composed:!0,detail:{type:"undo"}})))}resetUndo(){var e;(e=this.undoManager)==null||e.reset()}_onSelectionDidChange(){var r,i,o;this.keyboardDelegate.setValue(this.model.getValue(this.model.selection,"latex-expanded"));let e=this.model.getAtoms(this.model.selection);if(e.length===1&&e[0].type==="placeholder"){let a=e[0];this.model.mathfield.placeholders.has(a.placeholderId)&&((r=this.model.mathfield.placeholders.get(a.placeholderId))==null||r.field.focus())}{let 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e,r,i,o;this.focusBlurInProgress||this.blurred||(this.focusBlurInProgress=!0,this.blurred=!0,this.ariaLiveText.textContent="",At(this,"accept"),this.model.getValue()!==this.valueOnFocus&&((e=this.host)==null||e.dispatchEvent(new Event("change",{bubbles:!0,composed:!0}))),/onfocus|manual/.test(this.options.virtualKeyboardMode)&&!de().sharedVirtualKeyboard&&this.executeCommand("hideVirtualKeyboard"),(r=this.virtualKeyboard)==null||r.disable(),(i=this.host)==null||i.dispatchEvent(new Event("blur",{bubbles:!1,composed:!0})),(o=this.host)==null||o.dispatchEvent(new UIEvent("focusout",{bubbles:!0,composed:!0})),ae(this),this.focusBlurInProgress=!1)}onCompositionStart(e){this.model.deleteAtoms(Me(this.model.selection)),requestAnimationFrame(()=>{Ot(this);let r=Sr(this.field);r&&this.keyboardDelegate.moveTo(r.x,r.y)})}onCompositionUpdate(e){ws(this.model,e),ae(this)}onCompositionEnd(e){Ss(this.model),Ri(this,e,{simulateKeystroke:!0})}onResize(){Wr(this)}onWheel(e){let r=5*e.deltaX;if(!Number.isFinite(r)||r===0)return;let i=this.field;r<0&&i.scrollLeft===0||r>0&&i.offsetWidth+i.scrollLeft>=i.scrollWidth||(i.scrollBy({top:0,left:r}),e.preventDefault(),e.stopPropagation())}getHTMLElement(e){let r=e;for(;!r.id&&r.hasChildren;)r=e.children[0];if(r.id)return this.element.querySelector(`[data-atom-id="${r.id}"]`);throw new TypeError("Could not get an ID from atom")}};var Ua=q()?document.createElement("template"):null;Ua&&(Ua.innerHTML=`<style>
:host { display: block; position: relative; overflow: hidden auto;}
:host([hidden]) { display: none; }
:host([disabled]) { opacity:  .5; }
:host(:focus), :host(:focus-within) {
  outline: Highlight auto 1px;    /* For Firefox */
  outline: -webkit-focus-ring-color auto 1px;
}
:host([readonly]), :host([read-only]) { outline: none; }
</style>
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observedAttributes(){return[...Object.keys(rt.optionsAttributes),"disabled","readonly","read-only"]}onPointerDown(){window.addEventListener("pointerup",r=>{r.target===this&&this.dispatchEvent(new MouseEvent("click",{altKey:r.altKey,button:r.button,buttons:r.buttons,clientX:r.clientX,clientY:r.clientY,ctrlKey:r.ctrlKey,metaKey:r.metaKey,movementX:r.movementX,movementY:r.movementY,relatedTarget:r.relatedTarget,screenX:r.screenX,screenY:r.screenY,shiftKey:r.shiftKey}))},{once:!0})}getPlaceholderField(r){var i;return(i=this._mathfield)==null?void 0:i.getPlaceholderField(r)}addEventListener(r,i,o){return super.addEventListener(r,i,o)}removeEventListener(r,i,o){super.removeEventListener(r,i,o)}get mode(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.mode)!=null?i:"math"}set mode(r){this._mathfield&&(this._mathfield.mode=r)}get computeEngine(){if(this._mathfield)return this._mathfield.computeEngine}set computeEngine(r){this._mathfield&&this._mathfield.setOptions({computeEngine:r})}get 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r,i;return(i=(r=this._mathfield)==null?void 0:r.virtualKeyboardState)!=null?i:"hidden"}set virtualKeyboardState(r){this._mathfield&&(this._mathfield.virtualKeyboardState=r)}focus(){super.focus()}blur(){var r;(r=this._mathfield)==null||r.blur(),super.blur()}select(){var r;(r=this._mathfield)==null||r.select()}insert(r,i){var o,a;return(a=(o=this._mathfield)==null?void 0:o.insert(r,i))!=null?a:!1}applyStyle(r,i){var o;return(o=this._mathfield)==null?void 0:o.applyStyle(r,i)}get caretPoint(){var r,i;return(i=(r=this._mathfield)==null?void 0:r.getCaretPoint())!=null?i:null}set caretPoint(r){var i;r&&((i=this._mathfield)==null||i.setCaretPoint(r.x,r.y))}setCaretPoint(r,i){var o,a;return(a=(o=this._mathfield)==null?void 0:o.setCaretPoint(r,i))!=null?a:!1}offsetFromPoint(r,i,o){return this._mathfield?mr(this._mathfield,r,i,o):-1}hitboxFromOffset(r){if(!this._mathfield)return null;let i=this._mathfield.model.at(r);if(!i)return null;let o=lr(this._mathfield,i);return o?new DOMRect(o.left,o.top,o.right-o.left,o.bottom-o.top):null}resetUndo(){var r;(r=this._mathfield)==null||r.resetUndo()}canUndo(){return this._mathfield?this._mathfield.canUndo():!1}canRedo(){return this._mathfield?this._mathfield.canRedo():!1}connectedCallback(){var o,a,n;this.hasAttribute("role")||this.setAttribute("role","math"),this.setAttribute("dir","ltr"),this.hasAttribute("aria-label")||this.setAttribute("aria-label","math input field"),this.setAttribute("contenteditable","true"),this.setAttribute("aria-multiline","false"),this.hasAttribute("tabindex")||this.setAttribute("tabindex","0");let r=this.shadowRoot.querySelector("slot:not([name])");try{this._style=r.assignedElements().filter(s=>s.tagName.toLowerCase()==="style").map(s=>s.textContent).join("")}catch(s){}if(this._style){let s=document.createElement("style");s.textContent=this._style,this.shadowRoot.appendChild(s)}try{let s=r.assignedElements().filter(l=>l.tagName.toLowerCase()==="script"&&l.type==="application/json").map(l=>l.textContent).join("");s&&this.setOptions(JSON.parse(s))}catch(s){}let i="";if(this.hasAttribute("value")?i=(o=this.getAttribute("value"))!=null?o:"":i=(a=r==null?void 0:r.assignedNodes().map(s=>s.nodeType===3?s.textContent:"").join("").trim())!=null?a:"",this._mathfield=new Bo(this.shadowRoot.querySelector(":host > div"),E(b({},Z.has(this)?Z.get(this).options:Po(this)),{eventSink:this,value:i})),!Z.has(this)){this.upgradeProperty("disabled"),this.upgradeProperty("readonly");for(let s of Object.keys(rt.optionsAttributes))this.upgradeProperty(Ft(s))}if(!((n=this._mathfield)!=null&&n.model)){this._mathfield=null;return}Z.has(this)&&this._mathfield.model.deferNotifications({content:!1,selection:!1},()=>{let s=Z.get(this).value;s!==void 0&&this._mathfield.setValue(s),this._mathfield.model.selection=Z.get(this).selection,Z.delete(this)}),r.addEventListener("slotchange",s=>{if(s.target!==r)return;let l=r.assignedNodes().map(c=>c.nodeType===3?c.textContent:"").join("").trim();l!==this._slotValue&&(this._mathfield?this._mathfield.setValue(l):this.value=l)}),this.dispatchEvent(new Event("mount",{cancelable:!1,bubbles:!0,composed:!0}))}disconnectedCallback(){if(this.dispatchEvent(new Event("unmount",{cancelable:!1,bubbles:!0,composed:!0})),!this._mathfield)return;let r=dr(this._mathfield.options,Object.keys(rt.optionsAttributes).map(i=>Ft(i)));Z.set(this,{value:this._mathfield.getValue(),selection:this._mathfield.model.selection,options:r}),this._mathfield.dispose(),this._mathfield=null}upgradeProperty(r){if(this.hasOwnProperty(r)){let i=this[r];delete this[r],(r==="readonly"||r==="read-only")&&(r="readOnly"),this[r]=i}}attributeChangedCallback(r,i,o){if(i===o)return;let a=o!==null;switch(r){case"disabled":this.disabled=a;break;case"read-only":case"readonly":this.readOnly=a;break;default:}}get readonly(){return this.hasAttribute("readonly")||this.hasAttribute("read-only")}set readonly(r){let i=Boolean(r);i?(this.setAttribute("readonly",""),this.setAttribute("disabled",""),this.setAttribute("aria-readonly","true")):(this.removeAttribute("readonly"),this.removeAttribute("read-only"),this.removeAttribute("disabled"),this.removeAttribute("aria-readonly")),this.setOptions({readOnly:i})}get disabled(){return this.hasAttribute("disabled")}set disabled(r){let i=Boolean(r);i?this.setAttribute("disabled",""):this.removeAttribute("disabled"),this.setAttribute("aria-disabled",i?"true":"false"),this.setOptions({readOnly:i})}get value(){return this.getValue()}set value(r){this.setValue(r)}get defaultMode(){return this.getOption("defaultMode")}set defaultMode(r){this.setOptions({defaultMode:r})}get fontsDirectory(){return this.getOption("fontsDirectory")}set fontsDirectory(r){this.setOptions({fontsDirectory:r})}get mathModeSpace(){return this.getOption("mathModeSpace")}set mathModeSpace(r){this.setOptions({mathModeSpace:r})}get inlineShortcutTimeout(){return this.getOption("inlineShortcutTimeout")}set inlineShortcutTimeout(r){this.setOptions({inlineShortcutTimeout:r})}get keypressVibration(){return this.getOption("keypressVibration")}set keypressVibration(r){this.setOptions({keypressVibration:r})}get keypressSound(){return this.getOption("keypressSound")}set keypressSound(r){this.setOptions({keypressSound:r})}get plonkSound(){var r;return(r=this.getOption("plonkSound"))!=null?r:null}set plonkSound(r){this.setOptions({plonkSound:r})}get letterShapeStyle(){return this.getOption("letterShapeStyle")}set letterShapeStyle(r){this.setOptions({letterShapeStyle:r})}get locale(){return this.getOption("locale")}set locale(r){this.setOptions({locale:r})}get readOnly(){return this.getOption("readOnly")}set readOnly(r){this.setOptions({readOnly:r})}get removeExtraneousParentheses(){return this.getOption("removeExtraneousParentheses")}set removeExtraneousParentheses(r){this.setOptions({removeExtraneousParentheses:r})}get smartFence(){return this.getOption("smartFence")}set smartFence(r){this.setOptions({smartFence:r})}get smartMode(){return this.getOption("smartMode")}set smartMode(r){this.setOptions({smartMode:r})}get smartSuperscript(){return this.getOption("smartSuperscript")}set smartSuperscript(r){this.setOptions({smartSuperscript:r})}get speechEngine(){return this.getOption("speechEngine")}set speechEngine(r){this.setOptions({speechEngine:r})}get speechEngineRate(){return this.getOption("speechEngineRate")}set speechEngineRate(r){this.setOptions({speechEngineRate:r})}get speechEngineVoice(){return this.getOption("speechEngineVoice")}set speechEngineVoice(r){this.setOptions({speechEngineVoice:r})}get textToSpeechMarkup(){return this.getOption("textToSpeechMarkup")}set textToSpeechMarkup(r){this.setOptions({textToSpeechMarkup:r})}get textToSpeechRules(){return this.getOption("textToSpeechRules")}set textToSpeechRule(r){this.setOptions({textToSpeechRules:r})}get virtualKeyboardLayout(){return this.getOption("virtualKeyboardLayout")}set virtualKeyboardLayout(r){this.setOptions({virtualKeyboardLayout:r})}get virtualKeyboardMode(){return this.getOption("virtualKeyboardMode")}set virtualKeyboardMode(r){this.setOptions({virtualKeyboardMode:r})}get virtualKeyboardTheme(){return this.getOption("virtualKeyboardTheme")}set virtualKeyboardTheme(r){this.setOptions({virtualKeyboardTheme:r})}get virtualKeyboards(){return this.getOption("virtualKeyboards")}set virtualKeyboards(r){this.setOptions({virtualKeyboards:r})}get useSharedVirtualKeyboard(){return this.getOption("useSharedVirtualKeyboard")}set useSharedVirtualKeyboard(r){this.setOptions({useSharedVirtualKeyboard:r})}get sharedVirtualKeyboardTargetOrigin(){return 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