cours/.obsidian/plugins/obsidian-meta-bind-plugin/main.js

/*
-------------------------------------------
Meta Bind Plugin - Release Build
-------------------------------------------
By: Moritz Jung (https://mprojectscode.github.io/)
Time: Thu, 04 Jan 2024 13:16:15 GMT
Version: 0.11.0
-------------------------------------------
THIS IS A GENERATED/BUNDLED FILE BY ESBUILD
if you want to view the source, please visit the github repository of this plugin
*/

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n=t.getConfig();if(!n.allowMultiple&&this.arguments.filter(i=>i.getConfig().type===n.type).length>0)throw new er({errorLevel:"ERROR",effect:"failed to merge argument container",cause:"can not merge FieldArgumentContainers, since arguments overlap"});this.arguments.push(t)}return this.validate(),this}getAll(e){return this.arguments.filter(t=>t.getConfig().type===e)}get(e){return this.getAll(e).at(0)}};var Ts=class extends Ms{getAll(e){return super.getAll(e)}get(e){return this.getAll(e).at(0)}};var Fs=class{parseValue(e){this.validateValues(e,this.getConfig().values),this._parseValue(e)}validateValues(e,t){if(t.find(n=>n.length===e.length)===void 0)throw new er({errorLevel:"WARNING",effect:`Failed to parse argument value for argument '${this.getConfig().type}'.`,cause:`Expected argument values to follow the form ${t.map(n=>n.length===0?"none":n.map(i=>`'${i.name}'`).join(", ")).join(" or ")}. 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Expected token to be a view field type but received '${e.value}'.`,this.unvalidatedDeclaration.fullDeclaration,e.position)),"invalid"}checkForDeprecation(e){}validateBindTarget(e){if(this.unvalidatedDeclaration.writeToBindTarget!==void 0)return this.plugin.api.bindTargetParser.validateBindTarget(this.unvalidatedDeclaration.fullDeclaration,this.unvalidatedDeclaration.writeToBindTarget,this.filePath,e)}validateArguments(e){let t=new Ts;for(let n of this.unvalidatedDeclaration.arguments){let i=this.validateArgumentType(n.name);if(i==="invalid")continue;let a=Uc.createViewFieldArgument(i);if(!a.isAllowed(e)){this.errorCollection.add(new Lr("WARNING","Declaration Validator",`Failed to parse view field arguments. Argument "${n.name.value}" is only applicable to "${a.getAllowedFieldsAsString()}" view fields.`,this.unvalidatedDeclaration.fullDeclaration,n.name.position));continue}try{a.parseValue(n.value)}catch(o){this.errorCollection.add(o);continue}t.add(a)}try{t.validate()}catch(n){this.errorCollection.add(n)}return t}validateArgumentType(e){for(let t of Object.entries(Ds))if(t[1]===e.value)return t[1];return this.errorCollection.add(new Lr("WARNING","Declaration Validator",`Encountered invalid identifier. Expected identifier to be a view field argument type but received '${e.value}'.`,this.unvalidatedDeclaration.fullDeclaration,e.position)),"invalid"}validateTemplateDeclaration(e){var t,n;try{return(n=(t=this.unvalidatedDeclaration.templateDeclaration)==null?void 0:t.map(i=>typeof i=="string"?i:this.plugin.api.bindTargetParser.validateBindTarget(this.unvalidatedDeclaration.fullDeclaration,i,this.filePath,e)))!=null?n:[]}catch(i){return this.errorCollection.add(i),[]}}};var qc=class{constructor(e){this.plugin=e}parseString(e,t,n){let i=new rr("ViewFieldDeclaration");try{let a=Ur(Hd,e);return a.fullDeclaration=e,a.errorCollection=i,a.arguments=[...a.arguments],this.validateDeclaration(a,t,n)}catch(a){i.add(a)}return{fullDeclaration:e,errorCollection:i,templateDeclaration:[],viewFieldType:"invalid",argumentContainer:new Ts,writeToBindTarget:void 0}}parseStringWithoutValidation(e){let t=new rr("ViewFieldDeclaration");try{let n=Ur(Hd,e);return n.fullDeclaration=e,n.errorCollection=t,n.arguments=[...n.arguments],n}catch(n){t.add(n)}return{fullDeclaration:e,errorCollection:t,viewFieldType:{value:"invalid"},writeToBindTarget:void 0,arguments:[],templateDeclaration:[]}}validateDeclaration(e,t,n){return new Vc(e,t,this.plugin).validate(n)}parseJsString(e,t){let n={};n.errorCollection=new rr("JsViewFieldDeclaration"),n.fullDeclaration=e;try{let i=Ur(vD,e);n.bindTargetMappings=i.bindTargetMappings.map(a=>({bindTarget:this.plugin.api.bindTargetParser.validateBindTarget(e,a.bindTarget,t),name:a.name})),i.writeToBindTarget!==void 0&&(n.writeToBindTarget=this.plugin.api.bindTargetParser.validateBindTarget(e,i.writeToBindTarget,t)),n.code=i.code}catch(i){n.errorCollection.add(i)}return n}};var Ua=class r{constructor(e){this.path=e}get(e){if(this.path.length===0)throw new Error("can not use empty path to access object");let t=this.path[0].get(e);for(let n of this.path.slice(1))t=n.get(t.child);return t}tryGet(e){try{return this.get(e)}catch(t){return}}set(e,t){if(this.path.length===0)throw new Error("can not use empty path to access object");let n=this.path[0].get(e);for(let i of this.path.slice(1))n=i.get(n.child);n.access.set(n.parent,t)}setAndCreate(e,t){if(this.path.length===0)throw new Error("can not use empty path to access object");let n=this.path[0].get(e);n.child===void 0&&(n.access.set(n.parent,this.getNextPathElementValue(0,t)),n=n.access.get(n.parent));for(let i=1;i<this.path.length;i++)n=this.path[i].get(n.child),n.child===void 0&&(n.access.set(n.parent,this.getNextPathElementValue(i,t)),n=n.access.get(n.parent));n.access.set(n.parent,t)}getNextPathElement(e){return this.path[e+1]}getNextPathElementValue(e,t){let n=this.getNextPathElement(e);return n===void 0?t:n.type==="object"?{}:[]}toStringArray(){return this.path.map(e=>e.prop)}toString(){return this.toStringArray().join(".")}concat(e){return new r(this.path.concat(e.path))}};var zc=class{constructor(e){this.plugin=e}parseAndValidateBindTarget(e,t,n){return this.validateBindTarget(e,this.parseBindTarget(e),t,n)}parseBindTarget(e){return Ur(Hi,e)}validateBindTarget(e,t,n,i){let a={};if(a.storageProp=new Ua(t.storageProp.map(o=>new Co(o.type,o.prop.value))),t.storageType===void 0?a.storageType="frontmatter":a.storageType=this.validateStorageType(t.storageType,e),a.storageType==="frontmatter")t.storagePath===void 0?a.storagePath=this.validateStoragePathAsFilePath({value:n},e):a.storagePath=this.validateStoragePathAsFilePath(t.storagePath,e);else if(a.storageType==="memory")t.storagePath===void 0?a.storagePath=this.validateStoragePathAsFilePath({value:n},e):a.storagePath=this.validateStoragePathAsFilePath(t.storagePath,e);else if(a.storageType==="globalMemory"){if(t.storagePath!==void 0)throw new Lr("ERROR","Bind Target Validator","Failed to parse bind target. Bind target storage type GLOBAL_MEMORY does not support a storage path.",e,t.storagePath.position);a.storagePath=""}else if(a.storageType==="scope"){if(t.storagePath!==void 0)throw new Lr("ERROR","Bind Target Validator","Failed to parse bind target. Bind target storage type SCOPE does not support a storage path.",e,t.storagePath.position);a.storagePath="",this.resolveScope(a,i)}return a.listenToChildren=t.listenToChildren,a}resolveScope(e,t){if(t===void 0)throw new Lr("ERROR","Bind Target Scope Validator","Failed to resolve bind target scope, no scope provided");return console.log("resolve scope",e,t.scope),e.storageType=t.scope.storageType,e.storagePath=t.scope.storagePath,e.storageProp=t.scope.storageProp.concat(e.storageProp),e}validateStorageType(e,t){for(let n of Object.entries(To))if(n[1]===(e==null?void 0:e.value))return n[1];throw new Lr("ERROR","Bind Target Validator",`Encountered invalid identifier. Expected token to be a storage type but received '${e==null?void 0:e.value}'.`,t,e==null?void 0:e.position)}validateStoragePathAsFilePath(e,t){let n=e==null?void 0:e.value;if(n===void 0)throw new Lr("ERROR","Bind Target Validator","Failed to parse bind target. Bind target storage path is undefined.",t,e==null?void 0:e.position);let i=this.plugin.internal.getFilePathByName(n);if(i===void 0)throw new Lr("ERROR","Bind Target Validator",`Failed to parse bind target. Bind target file path '${n}' not found.`,t,e==null?void 0:e.position);return i}};var Bs=class extends hn{};var Ps=class extends Bs{constructor(e,t,n,i,a,o){super(e,t,i,a,o),this.errorCollection.merge(n.errorCollection),this.fullDeclaration=n.fullDeclaration,this.viewFieldDeclaration=n}getArguments(e){if(this.viewFieldDeclaration.errorCollection.hasErrors())throw new an({errorLevel:"ERROR",effect:"an not retrieve arguments",cause:"inputFieldDeclaration has errors"});return this.viewFieldDeclaration.argumentContainer.getAll(e)}getArgument(e){return this.getArguments(e).at(0)}getDeclaration(){return this.viewFieldDeclaration}getUuid(){return this.uuid}getFilePath(){return this.filePath}createErrorIndicator(e){new Yn({target:e,props:{app:this.plugin.app,errorCollection:this.errorCollection,declaration:this.fullDeclaration}})}createViewField(){if(!this.errorCollection.hasErrors())try{this.viewField=this.plugin.api.viewFieldFactory.createViewField(this.viewFieldDeclaration.viewFieldType,this)}catch(e){this.errorCollection.add(e)}!this.errorCollection.hasErrors()&&!this.viewField&&this.errorCollection.add(new an({errorLevel:"CRITICAL",effect:"can't render view field",cause:"view field is undefined"}))}onload(){var t;if(console.log("meta-bind | ViewFieldMarkdownRenderChild >> load",this),this.containerEl.addClass("mb-view"),this.containerEl.empty(),this.plugin.mdrcManager.registerMDRC(this),this.createViewField(),this.errorCollection.hasErrors()){this.createErrorIndicator(this.containerEl);return}let e=createDiv();e.addClass("mb-view-wrapper");try{(t=this.viewField)==null||t.mount(e)}catch(n){this.errorCollection.add(n)}this.createErrorIndicator(this.containerEl),this.containerEl.append(e),this.renderChildType==="block"?this.containerEl.addClass("mb-view-block"):this.containerEl.addClass("mb-view-inline")}onunload(){var e;console.log("meta-bind | ViewFieldMarkdownRenderChild >> unload",this),(e=this.viewField)==null||e.destroy(),this.plugin.mdrcManager.unregisterMDRC(this),fi(this.containerEl,"view field"),super.onunload()}};var Os=class{constructor(){this.listeners=[]}registerListener(e){let t=e;return t.uuid=Ht(),this.listeners.push(t),t}unregisterListener(e){this.unregisterListenerById(e.uuid)}unregisterListenerById(e){this.listeners=this.listeners.filter(t=>t.uuid!==e)}unregisterAllListeners(){this.listeners=[]}notifyListeners(e){for(let t of this.listeners)t.callback(e)}},xr=class extends Os{constructor(e){super(),this.value=e}get(){return this.value}set(e){this.value=e,this.notifyListeners(e)}},$c=class extends Os{constructor(e,t){super(),this.dependency=e,this.value=t(e.get()),this.dependencyListener=e.registerListener({callback:n=>this.set(t(n))})}get(){return this.value}set(e){this.value=e,this.notifyListeners(e)}destroy(){this.dependency.unregisterListener(this.dependencyListener)}};function Rs(r){return app.vault.adapter.getResourcePath(r)}function bD(r){return r.dependencyManager.checkDependency("dataview").api}function Io(r){return r.dependencyManager.checkDependency("js-engine").api}var Hc=class extends Bs{constructor(e,t,n,i,a,o){var l;if(super(e,t,i,a,o),this.errorCollection.merge(n.errorCollection),this.fullDeclaration=n.fullDeclaration,this.viewFieldDeclaration=n,this.variables=[],this.file=this.plugin.app.vault.getAbstractFileByPath(this.filePath),this.errorCollection.isEmpty())try{for(let u of(l=this.viewFieldDeclaration.bindTargetMappings)!=null?l:[])this.variables.push({bindTargetDeclaration:u.bindTarget,inputSignal:new xr(void 0),uuid:Ht(),contextName:u.name})}catch(u){this.errorCollection.add(u)}}buildContext(){var t,n;let e={};for(let i of(t=this.variables)!=null?t:[])!i.contextName||!i.inputSignal||(e[i.contextName]=(n=i.inputSignal.get())!=null?n:"");return e}async evaluateExpression(){if(!this.plugin.settings.enableJs)throw new gs({errorLevel:"CRITICAL",effect:"Can't evaluate expression.",cause:"JS expressions are disabled in the plugin settings."});let e;try{e=Io(this.plugin)}catch(n){throw n instanceof Error?new gs({errorLevel:"ERROR",effect:"can not create js view field",cause:n}):n}return await e.internal.execute({code:this.viewFieldDeclaration.code,context:{file:this.file,line:0,metadata:this.plugin.app.metadataCache.getFileCache(this.file)},container:this.renderContainer,component:this,contextOverrides:{bound:this.buildContext()}})}registerSelfToMetadataManager(){let e=new xr(void 0);this.metadataSubscription=this.plugin.metadataManager.subscribeComputed(this.uuid,e,this.viewFieldDeclaration.writeToBindTarget,this.variables.map(t=>({bindTarget:t.bindTargetDeclaration,callbackSignal:t.inputSignal})),async()=>await this.update(),()=>this.unload())}unregisterSelfFromMetadataManager(){var e;(e=this.metadataSubscription)==null||e.unsubscribe()}async onload(){console.log("meta-bind | ViewFieldMarkdownRenderChild >> load",this),this.containerEl.addClass("mb-view"),this.containerEl.empty(),this.plugin.mdrcManager.registerMDRC(this);try{Io(this.plugin)}catch(t){t instanceof Error?this.errorCollection.add(new gs({errorLevel:"ERROR",effect:"can not create js view field",cause:t})):this.errorCollection.add(t)}if(new Yn({target:this.containerEl,props:{app:this.plugin.app,errorCollection:this.errorCollection,declaration:this.fullDeclaration}}),this.errorCollection.hasErrors())return;this.registerSelfToMetadataManager();let e=createDiv();e.addClass("mb-view-wrapper"),this.renderContainer=e,await this.update(),this.containerEl.appendChild(e)}onunload(){console.log("meta-bind | ViewFieldMarkdownRenderChild >> unload",this),this.plugin.mdrcManager.unregisterMDRC(this),this.unregisterSelfFromMetadataManager(),fi(this.containerEl,"js view field"),super.onunload()}async update(){if(this.renderContainer)try{let e=Io(this.plugin),t=await this.evaluateExpression(),n=e.internal.createRenderer(this.renderContainer,this.filePath,this);return await n.render(t.result),n.convertToSimpleObject(t.result)}catch(e){e instanceof Error&&(this.renderContainer.innerText=e.message,this.renderContainer.addClass("mb-error"));return}}};var ks=class extends Ms{getAll(e){return super.getAll(e)}get(e){return this.getAll(e).at(0)}};var Jt=class extends Fs{};var Gc=class extends Jt{constructor(){super(...arguments);this.value=[]}_parseValue(t){this.value=t[0].value.split(" ")}getConfig(){return nr.class}};var Wc=class extends Jt{constructor(){super(...arguments);this.value=!0}_parseValue(t){var n;this.value=t[0]===void 0||((n=t[0])==null?void 0:n.value.toLowerCase())==="true"}getConfig(){return nr.addLabels}};var jc=class extends Jt{constructor(){super(...arguments);this.value=0}_parseValue(t){if(this.value=Number.parseFloat(t[0].value),Number.isNaN(this.value))throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:"value of argument 'minValue' must be of type number",docs:[_t.linkToInputFieldArgument(this.getConfig().type)]})}getConfig(){return nr.minValue}};var Zc=class extends Jt{constructor(){super(...arguments);this.value=100}_parseValue(t){if(this.value=Number.parseFloat(t[0].value),Number.isNaN(this.value))throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:"value of argument 'maxValue' must be of type number",docs:[_t.linkToInputFieldArgument(this.getConfig().type)]})}getConfig(){return nr.maxValue}};var Jc=class extends Jt{constructor(){super(...arguments);this.value="";this.name=""}_parseValue(t){t.length===1?(this.value=Kn(t[0].value),this.name=t[0].value):t.length===2&&(this.value=Kn(t[0].value),this.name=t[1].value)}getConfig(){return nr.option}};var Yc=class extends Jt{constructor(){super(...arguments);this.value=""}_parseValue(t){this.value=t[0].value}getConfig(){return nr.title}};var Xc=class extends Jt{constructor(){super(...arguments);this.value=""}_parseValue(t){this.value=t[0].value}getConfig(){return nr.optionQuery}};var Qc=class extends Jt{constructor(){super(...arguments);this.value=!0}_parseValue(t){var n;this.value=t[0]===void 0||((n=t[0])==null?void 0:n.value.toLowerCase())==="true"}getConfig(){return nr.showcase}};var Kc=class extends Jt{constructor(){super(...arguments);this.value=!1}_parseValue(t){this.value=Kn(t[0].value)}getConfig(){return nr.offValue}};var ef=class extends Jt{constructor(){super(...arguments);this.value=!0}_parseValue(t){this.value=Kn(t[0].value)}getConfig(){return nr.onValue}};var tf=class extends Jt{constructor(){super(...arguments);this.value=""}_parseValue(t){this.value=Kn(t[0].value)}getConfig(){return nr.defaultValue}};var rf=class extends Jt{constructor(){super(...arguments);this.value=""}_parseValue(t){this.value=t[0].value}getConfig(){return nr.placeholder}};function xD(r,e,t){return t==="true"?`[[${r}|${e}]]`:t==="partial"?`[[${e}]]`:`${e}`}var nf=class extends Jt{constructor(){super(...arguments);this.value="true"}_parseValue(t){var i;let n=(i=t[0])==null?void 0:i.value.toLowerCase();if(n===void 0){this.value="true";return}if(n==="true"||n==="partial"||n==="false"){this.value=n;return}throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:`value of argument 'useLinks' must be one of ${$A(["true","partial","false"],a=>`'${a}'`,", ","or")}`,docs:[_t.linkToInputFieldArgument(this.getConfig().type)]})}getConfig(){return nr.useLinks}};var af=class extends Jt{constructor(){super(...arguments);this.value=0}_parseValue(t){if(this.value=Number.parseFloat(t[0].value),Number.isNaN(this.value))throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:"value of argument 'stepSize' must be of type number",docs:[_t.linkToInputFieldArgument(this.getConfig().type)]});if(this.value<=0)throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:"value of argument 'stepSize' must be a positive number",docs:[_t.linkToInputFieldArgument(this.getConfig().type)]})}getConfig(){return nr.stepSize}};var of=class extends Jt{constructor(){super(...arguments);this.value=void 0}_parseValue(t){if(this.value=Number.parseInt(t[0].value),Number.isNaN(this.value))throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:"value of argument 'limit' must be of type number",docs:[_t.linkToInputFieldArgument(this.getConfig().type)]});if(this.value<=0)throw new er({errorLevel:"WARNING",effect:"failed to set value for input field argument",cause:"value of argument 'limit' must be a positive number",docs:[_t.linkToInputFieldArgument(this.getConfig().type)]})}getConfig(){return nr.limit}};var wD={class:Gc,addLabels:Wc,minValue:jc,maxValue:Zc,stepSize:af,option:Jc,title:Yc,optionQuery:Xc,showcase:Qc,offValue:Kc,onValue:ef,defaultValue:tf,placeholder:rf,useLinks:nf,limit:of},sf=class{static createInputFieldArgument(e){if(e in wD){let t=wD[e];if(t)return new t}throw new la({errorLevel:"WARNING",effect:"can not crate input field argument",cause:`unknown argument '${e}'`})}};var Wu=class{constructor(e,t,n){this.plugin=e,this.unvalidatedDeclaration=t,this.filePath=n,this.errorCollection=new rr("input field declaration")}validate(e){let t=this.validateInputFieldType(),n=this.validateBindTarget(e),i=this.validateArguments(t),a={fullDeclaration:this.unvalidatedDeclaration.fullDeclaration,inputFieldType:t,bindTarget:n,argumentContainer:i,errorCollection:this.errorCollection.merge(this.unvalidatedDeclaration.errorCollection)};return this.checkForDeprecation(a),a}validateInputFieldType(){let e=this.unvalidatedDeclaration.inputFieldType;for(let t of Object.entries(As))if(t[1]===(e==null?void 0:e.value))return t[1];return this.errorCollection.add(new Lr("ERROR","Declaration Validator",`Encountered invalid identifier. Expected token to be an input field type but received '${e==null?void 0:e.value}'.`,this.unvalidatedDeclaration.fullDeclaration,e==null?void 0:e.position)),"invalid"}checkForDeprecation(e){var t;(e.inputFieldType==="date_picker"||e.inputFieldType==="text_area"||e.inputFieldType==="multi_select")&&this.errorCollection.add(new Lr("WARNING","Declaration Validator",`'${e.inputFieldType}' is deprecated, as it has been renamed to be in camel case ('input_field_type' => 'inputFieldType').`,this.unvalidatedDeclaration.fullDeclaration,(t=this.unvalidatedDeclaration.inputFieldType)==null?void 0:t.position))}validateBindTarget(e){if(this.unvalidatedDeclaration.bindTarget!==void 0)return this.plugin.api.bindTargetParser.validateBindTarget(this.unvalidatedDeclaration.fullDeclaration,this.unvalidatedDeclaration.bindTarget,this.filePath,e)}validateArguments(e){let t=new ks;for(let n of this.unvalidatedDeclaration.arguments){let i=this.validateArgumentType(n.name);if(i==="invalid")continue;let a=sf.createInputFieldArgument(i);if(!a.isAllowed(e)){this.errorCollection.add(new Lr("WARNING","Declaration Validator",`Failed to parse input field arguments. Argument "${n.name.value}" is only applicable to "${a.getAllowedFieldsAsString()}" input fields.`,this.unvalidatedDeclaration.fullDeclaration,n.name.position));continue}try{a.parseValue(n.value)}catch(o){this.errorCollection.add(o);continue}t.add(a)}try{t.validate()}catch(n){this.errorCollection.add(n)}return t}validateArgumentType(e){for(let t of Object.entries(Fr))if(t[1]===e.value)return t[1];return this.errorCollection.add(new Lr("WARNING","Declaration Validator",`Encountered invalid identifier. 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i(d,g)},Object.defineProperty(i,"name",{value:"SparseMatrix"}),i.prototype.constructor=i,i.prototype.type="SparseMatrix",i.prototype.isSparseMatrix=!0,i.prototype.getDataType=function(){return Ga(this._values,Ct)},i.prototype.storage=function(){return"sparse"},i.prototype.datatype=function(){return this._datatype},i.prototype.create=function(d,g){return new i(d,g)},i.prototype.density=function(){var d=this._size[0],g=this._size[1];return d!==0&&g!==0?this._index.length/(d*g):0},i.prototype.subset=function(d,g,v){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return l(this,d);case 2:case 3:return u(this,d,g,v);default:throw new SyntaxError("Wrong number of arguments")}};function l(d,g){if(!za(g))throw new TypeError("Invalid index");var v=g.isScalar();if(v)return d.get(g.min());var w=g.size();if(w.length!==d._size.length)throw new st(w.length,d._size.length);var y,x,_,b,D=g.min(),S=g.max();for(y=0,x=d._size.length;y<x;y++)Gt(D[y],d._size[y]),Gt(S[y],d._size[y]);var A=d._values,E=d._index,M=d._ptr,F=g.dimension(0),P=g.dimension(1),k=[],O=[];F.forEach(function(B,U){O[B]=U[0],k[B]=!0});var I=A?[]:void 0,T=[],q=[];return P.forEach(function(B){for(q.push(T.length),_=M[B],b=M[B+1];_<b;_++)y=E[_],k[y]===!0&&(T.push(O[y]),I&&I.push(A[_]))}),q.push(T.length),new i({values:I,index:T,ptr:q,size:w,datatype:d._datatype})}function u(d,g,v,w){if(!g||g.isIndex!==!0)throw new TypeError("Invalid index");var y=g.size(),x=g.isScalar(),_;if(Ge(v)?(_=v.size(),v=v.toArray()):_=tt(v),x){if(_.length!==0)throw new TypeError("Scalar expected");d.set(g.min(),v,w)}else{if(y.length!==1&&y.length!==2)throw new st(y.length,d._size.length,"<");if(_.length<y.length){for(var b=0,D=0;y[b]===1&&_[b]===1;)b++;for(;y[b]===1;)D++,b++;v=qf(v,y.length,D,_)}if(!Ti(y,_))throw new st(y,_,">");if(y.length===1){var S=g.dimension(0);S.forEach(function(M,F){Gt(M),d.set([M,0],v[F[0]],w)})}else{var A=g.dimension(0),E=g.dimension(1);A.forEach(function(M,F){Gt(M),E.forEach(function(P,k){Gt(P),d.set([M,P],v[F[0]][k[0]],w)})})}}return d}i.prototype.get=function(d){if(!Tt(d))throw new TypeError("Array expected");if(d.length!==this._size.length)throw new st(d.length,this._size.length);if(!this._values)throw new Error("Cannot invoke get on a Pattern only matrix");var g=d[0],v=d[1];Gt(g,this._size[0]),Gt(v,this._size[1]);var w=s(g,this._ptr[v],this._ptr[v+1],this._index);return w<this._ptr[v+1]&&this._index[w]===g?this._values[w]:0},i.prototype.set=function(d,g,v){if(!Tt(d))throw new TypeError("Array expected");if(d.length!==this._size.length)throw new st(d.length,this._size.length);if(!this._values)throw new Error("Cannot invoke set on a Pattern only matrix");var w=d[0],y=d[1],x=this._size[0],_=this._size[1],b=t,D=0;wr(this._datatype)&&(b=e.find(t,[this._datatype,this._datatype])||t,D=e.convert(0,this._datatype)),(w>x-1||y>_-1)&&(p(this,Math.max(w+1,x),Math.max(y+1,_),v),x=this._size[0],_=this._size[1]),Gt(w,x),Gt(y,_);var S=s(w,this._ptr[y],this._ptr[y+1],this._index);return S<this._ptr[y+1]&&this._index[S]===w?b(g,D)?c(S,y,this._values,this._index,this._ptr):this._values[S]=g:b(g,D)||f(S,w,y,g,this._values,this._index,this._ptr),this};function s(d,g,v,w){if(v-g===0)return v;for(var y=g;y<v;y++)if(w[y]===d)return y;return g}function c(d,g,v,w,y){v.splice(d,1),w.splice(d,1);for(var x=g+1;x<y.length;x++)y[x]--}function f(d,g,v,w,y,x,_){y.splice(d,0,w),x.splice(d,0,g);for(var b=v+1;b<_.length;b++)_[b]++}i.prototype.resize=function(d,g,v){if(!Er(d))throw new TypeError("Array or Matrix expected");var w=d.valueOf().map(x=>Array.isArray(x)&&x.length===1?x[0]:x);if(w.length!==2)throw new Error("Only two dimensions matrix are 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O=d._ptr[E],I=d._ptr[E+1]-k;for(M=O;M<I;M++)A=d._index[M],A>g-1&&(d._values.splice(M,1),d._index.splice(M,1),k++)}d._ptr[E]=d._values.length}return d._size[0]=g,d._size[1]=v,d}i.prototype.reshape=function(d,g){if(!Tt(d))throw new TypeError("Array expected");if(d.length!==2)throw new Error("Sparse matrices can only be reshaped in two dimensions");d.forEach(function(B){if(!it(B)||!$e(B)||B<=-2||B===0)throw new TypeError("Invalid size, must contain positive integers or -1 (size: "+at(d)+")")});var v=this._size[0]*this._size[1];d=tl(d,v);var w=d[0]*d[1];if(v!==w)throw new Error("Reshaping sparse matrix will result in the wrong number of elements");var y=g?this.clone():this;if(this._size[0]===d[0]&&this._size[1]===d[1])return y;for(var x=[],_=0;_<y._ptr.length;_++)for(var b=0;b<y._ptr[_+1]-y._ptr[_];b++)x.push(_);for(var D=y._values.slice(),S=y._index.slice(),A=0;A<y._index.length;A++){var E=S[A],M=x[A],F=E*y._size[1]+M;x[A]=F%d[1],S[A]=Math.floor(F/d[1])}y._values.length=0,y._index.length=0,y._ptr.length=d[1]+1,y._size=d.slice();for(var P=0;P<y._ptr.length;P++)y._ptr[P]=0;for(var k=0;k<D.length;k++){var O=S[k],I=x[k],T=D[k],q=s(O,y._ptr[I],y._ptr[I+1],y._index);f(q,O,I,T,y._values,y._index,y._ptr)}return y},i.prototype.clone=function(){var d=new i({values:this._values?Qe(this._values):void 0,index:Qe(this._index),ptr:Qe(this._ptr),size:Qe(this._size),datatype:this._datatype});return d},i.prototype.size=function(){return this._size.slice(0)},i.prototype.map=function(d,g){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var v=this,w=this._size[0],y=this._size[1],x=Kf(d),_=function(D,S,A){return x===1?d(D):x===2?d(D,[S,A]):d(D,[S,A],v)};return m(this,0,w-1,0,y-1,_,g)};function m(d,g,v,w,y,x,_){var b=[],D=[],S=[],A=t,E=0;wr(d._datatype)&&(A=e.find(t,[d._datatype,d._datatype])||t,E=e.convert(0,d._datatype));for(var M=function(L,ie,ve){L=x(L,ie,ve),A(L,E)||(b.push(L),D.push(ie))},F=w;F<=y;F++){S.push(b.length);var P=d._ptr[F],k=d._ptr[F+1];if(_)for(var O=P;O<k;O++){var I=d._index[O];I>=g&&I<=v&&M(d._values[O],I-g,F-w)}else{for(var T={},q=P;q<k;q++){var B=d._index[q];T[B]=d._values[q]}for(var U=g;U<=v;U++){var G=U in T?T[U]:0;M(G,U-g,F-w)}}}return S.push(b.length),new i({values:b,index:D,ptr:S,size:[v-g+1,y-w+1]})}i.prototype.forEach=function(d,g){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var v=this,w=this._size[0],y=this._size[1],x=0;x<y;x++){var _=this._ptr[x],b=this._ptr[x+1];if(g)for(var D=_;D<b;D++){var S=this._index[D];d(this._values[D],[S,x],v)}else{for(var A={},E=_;E<b;E++){var M=this._index[E];A[M]=this._values[E]}for(var F=0;F<w;F++){var P=F in A?A[F]:0;d(P,[F,x],v)}}}},i.prototype[Symbol.iterator]=function*(){if(!this._values)throw new Error("Cannot iterate a Pattern only matrix");for(var d=this._size[1],g=0;g<d;g++)for(var v=this._ptr[g],w=this._ptr[g+1],y=v;y<w;y++){var x=this._index[y];yield{value:this._values[y],index:[x,g]}}},i.prototype.toArray=function(){return h(this._values,this._index,this._ptr,this._size,!0)},i.prototype.valueOf=function(){return h(this._values,this._index,this._ptr,this._size,!1)};function h(d,g,v,w,y){var x=w[0],_=w[1],b=[],D,S;for(D=0;D<x;D++)for(b[D]=[],S=0;S<_;S++)b[D][S]=0;for(S=0;S<_;S++)for(var A=v[S],E=v[S+1],M=A;M<E;M++)D=g[M],b[D][S]=d?y?Qe(d[M]):d[M]:1;return b}return i.prototype.format=function(d){for(var g=this._size[0],v=this._size[1],w=this.density(),y="Sparse Matrix ["+at(g,d)+" x "+at(v,d)+"] density: "+at(w,d)+`
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e(Tv,{number:function(a){return Ir(a,n(a),t.epsilon)?n(a):Math.floor(a)},"number, number":function(a,o){if(Ir(a,n(a,o),t.epsilon))return n(a,o);var[l,u]="".concat(a,"e").split("e"),s=Math.floor(Number("".concat(l,"e").concat(Number(u)+o)));return[l,u]="".concat(s,"e").split("e"),Number("".concat(l,"e").concat(Number(u)-o))}})}),ll=N(Tv,j9,r=>{var{typed:e,config:t,round:n,matrix:i,equalScalar:a,zeros:o,DenseMatrix:l}=r,u=Wt({typed:e,equalScalar:a}),s=kt({typed:e,DenseMatrix:l}),c=Br({typed:e}),f=Z9({typed:e,config:t,round:n});return e("floor",{number:f.signatures.number,"number,number":f.signatures["number,number"],Complex:function(m){return m.floor()},"Complex, number":function(m,h){return m.floor(h)},"Complex, BigNumber":function(m,h){return m.floor(h.toNumber())},BigNumber:function(m){return en(m,n(m),t.epsilon)?n(m):m.floor()},"BigNumber, BigNumber":function(m,h){return en(m,n(m,h),t.epsilon)?n(m,h):m.toDecimalPlaces(h.toNumber(),ko.ROUND_FLOOR)},Fraction:function(m){return m.floor()},"Fraction, number":function(m,h){return m.floor(h)},"Fraction, BigNumber":function(m,h){return m.floor(h.toNumber())},"Array | Matrix":e.referToSelf(p=>m=>Je(m,p,!0)),"Array, number | BigNumber":e.referToSelf(p=>(m,h)=>Je(m,d=>p(d,h),!0)),"SparseMatrix, number | BigNumber":e.referToSelf(p=>(m,h)=>u(m,h,p,!1)),"DenseMatrix, number | BigNumber":e.referToSelf(p=>(m,h)=>c(m,h,p,!1)),"number | Complex | Fraction | BigNumber, Array":e.referToSelf(p=>(m,h)=>c(i(h),m,p,!0).valueOf()),"number | Complex | Fraction | BigNumber, Matrix":e.referToSelf(p=>(m,h)=>a(m,0)?o(h.size(),h.storage()):h.storage()==="dense"?c(h,m,p,!0):s(h,m,p,!0))})});var J9="matAlgo02xDS0",Y9=["typed","equalScalar"],Pr=N(J9,Y9,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o,l){var u=i._data,s=i._size,c=i._datatype,f=a._values,p=a._index,m=a._ptr,h=a._size,d=a._datatype;if(s.length!==h.length)throw new st(s.length,h.length);if(s[0]!==h[0]||s[1]!==h[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+h+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var g=s[0],v=s[1],w,y=t,x=0,_=o;typeof c=="string"&&c===d&&(w=c,y=e.find(t,[w,w]),x=e.convert(0,w),_=e.find(o,[w,w]));for(var b=[],D=[],S=[],A=0;A<v;A++){S[A]=D.length;for(var E=m[A],M=m[A+1],F=E;F<M;F++){var P=p[F],k=l?_(f[F],u[P][A]):_(u[P][A],f[F]);y(k,x)||(D.push(P),b.push(k))}}return S[v]=D.length,a.createSparseMatrix({values:b,index:D,ptr:S,size:[g,v],datatype:w})}});var X9="matAlgo03xDSf",Q9=["typed"],ir=N(X9,Q9,r=>{var{typed:e}=r;return function(n,i,a,o){var l=n._data,u=n._size,s=n._datatype,c=i._values,f=i._index,p=i._ptr,m=i._size,h=i._datatype;if(u.length!==m.length)throw new st(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!c)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var d=u[0],g=u[1],v,w=0,y=a;typeof s=="string"&&s===h&&(v=s,w=e.convert(0,v),y=e.find(a,[v,v]));for(var x=[],_=0;_<d;_++)x[_]=[];for(var b=[],D=[],S=0;S<g;S++){for(var A=S+1,E=p[S],M=p[S+1],F=E;F<M;F++){var P=f[F];b[P]=o?y(c[F],l[P][S]):y(l[P][S],c[F]),D[P]=A}for(var k=0;k<d;k++)D[k]===A?x[k][S]=b[k]:x[k][S]=o?y(w,l[k][S]):y(l[k][S],w)}return n.createDenseMatrix({data:x,size:[d,g],datatype:v})}});var K9="matAlgo05xSfSf",eq=["typed","equalScalar"],Xa=N(K9,eq,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o){var l=i._values,u=i._index,s=i._ptr,c=i._size,f=i._datatype,p=a._values,m=a._index,h=a._ptr,d=a._size,g=a._datatype;if(c.length!==d.length)throw new st(c.length,d.length);if(c[0]!==d[0]||c[1]!==d[1])throw new RangeError("Dimension mismatch. Matrix A ("+c+") must match Matrix B ("+d+")");var v=c[0],w=c[1],y,x=t,_=0,b=o;typeof f=="string"&&f===g&&(y=f,x=e.find(t,[y,y]),_=e.convert(0,y),b=e.find(o,[y,y]));var D=l&&p?[]:void 0,S=[],A=[],E=D?[]:void 0,M=D?[]:void 0,F=[],P=[],k,O,I,T;for(O=0;O<w;O++){A[O]=S.length;var q=O+1;for(I=s[O],T=s[O+1];I<T;I++)k=u[I],S.push(k),F[k]=q,E&&(E[k]=l[I]);for(I=h[O],T=h[O+1];I<T;I++)k=m[I],F[k]!==q&&S.push(k),P[k]=q,M&&(M[k]=p[I]);if(D)for(I=A[O];I<S.length;){k=S[I];var B=F[k],U=P[k];if(B===q||U===q){var G=B===q?E[k]:_,H=U===q?M[k]:_,L=b(G,H);x(L,_)?S.splice(I,1):(D.push(L),I++)}}}return A[w]=S.length,i.createSparseMatrix({values:D,index:S,ptr:A,size:[v,w],datatype:y})}});var tq="matAlgo13xDD",rq=["typed"],_N=N(tq,rq,r=>{var{typed:e}=r;return function(i,a,o){var l=i._data,u=i._size,s=i._datatype,c=a._data,f=a._size,p=a._datatype,m=[];if(u.length!==f.length)throw new st(u.length,f.length);for(var h=0;h<u.length;h++){if(u[h]!==f[h])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+f+")");m[h]=u[h]}var d,g=o;typeof s=="string"&&s===p&&(d=s,g=e.find(o,[d,d]));var v=m.length>0?t(g,0,m,m[0],l,c):[];return i.createDenseMatrix({data:v,size:m,datatype:d})};function t(n,i,a,o,l,u){var s=[];if(i===a.length-1)for(var c=0;c<o;c++)s[c]=n(l[c],u[c]);else for(var f=0;f<o;f++)s[f]=t(n,i+1,a,a[i+1],l[f],u[f]);return s}});var nq="broadcast",iq=["concat"],AN=N(nq,iq,r=>{var{concat:e}=r;return function(i,a){var o=Math.max(i._size.length,a._size.length);if(i._size.length===a._size.length&&i._size.every((h,d)=>h===a._size[d]))return[i,a];for(var l=t(i._size,o,0),u=t(a._size,o,0),s=[],c=0;c<o;c++)s[c]=Math.max(l[c],u[c]);rl(l,s),rl(u,s);var f=i.clone(),p=a.clone();f._size.length<o?f.reshape(t(f._size,o,1)):p._size.length<o&&p.reshape(t(p._size,o,1));for(var m=0;m<o;m++)f._size[m]<s[m]&&(f=n(f,s[m],m)),p._size[m]<s[m]&&(p=n(p,s[m],m));return[f,p]};function t(i,a,o){return[...Array(a-i.length).fill(o),...i]}function n(i,a,o){return e(...Array(a).fill(i),o)}});var aq="matrixAlgorithmSuite",oq=["typed","matrix","concat"],ct=N(aq,oq,r=>{var{typed:e,matrix:t,concat:n}=r,i=_N({typed:e}),a=Br({typed:e}),o=AN({concat:n});return function(u){var s=u.elop,c=u.SD||u.DS,f;s?(f={"DenseMatrix, DenseMatrix":(d,g)=>i(...o(d,g),s),"Array, Array":(d,g)=>i(...o(t(d),t(g)),s).valueOf(),"Array, DenseMatrix":(d,g)=>i(...o(t(d),g),s),"DenseMatrix, Array":(d,g)=>i(...o(d,t(g)),s)},u.SS&&(f["SparseMatrix, SparseMatrix"]=(d,g)=>u.SS(...o(d,g),s,!1)),u.DS&&(f["DenseMatrix, SparseMatrix"]=(d,g)=>u.DS(...o(d,g),s,!1),f["Array, SparseMatrix"]=(d,g)=>u.DS(...o(t(d),g),s,!1)),c&&(f["SparseMatrix, DenseMatrix"]=(d,g)=>c(...o(g,d),s,!0),f["SparseMatrix, Array"]=(d,g)=>c(...o(t(g),d),s,!0))):(f={"DenseMatrix, DenseMatrix":e.referToSelf(d=>(g,v)=>i(...o(g,v),d)),"Array, Array":e.referToSelf(d=>(g,v)=>i(...o(t(g),t(v)),d).valueOf()),"Array, DenseMatrix":e.referToSelf(d=>(g,v)=>i(...o(t(g),v),d)),"DenseMatrix, Array":e.referToSelf(d=>(g,v)=>i(...o(g,t(v)),d))},u.SS&&(f["SparseMatrix, SparseMatrix"]=e.referToSelf(d=>(g,v)=>u.SS(...o(g,v),d,!1))),u.DS&&(f["DenseMatrix, SparseMatrix"]=e.referToSelf(d=>(g,v)=>u.DS(...o(g,v),d,!1)),f["Array, SparseMatrix"]=e.referToSelf(d=>(g,v)=>u.DS(...o(t(g),v),d,!1))),c&&(f["SparseMatrix, DenseMatrix"]=e.referToSelf(d=>(g,v)=>c(...o(v,g),d,!0)),f["SparseMatrix, Array"]=e.referToSelf(d=>(g,v)=>c(...o(t(v),g),d,!0))));var p=u.scalar||"any",m=u.Ds||u.Ss;m&&(s?(f["DenseMatrix,"+p]=(d,g)=>a(d,g,s,!1),f[p+", DenseMatrix"]=(d,g)=>a(g,d,s,!0),f["Array,"+p]=(d,g)=>a(t(d),g,s,!1).valueOf(),f[p+", Array"]=(d,g)=>a(t(g),d,s,!0).valueOf()):(f["DenseMatrix,"+p]=e.referToSelf(d=>(g,v)=>a(g,v,d,!1)),f[p+", DenseMatrix"]=e.referToSelf(d=>(g,v)=>a(v,g,d,!0)),f["Array,"+p]=e.referToSelf(d=>(g,v)=>a(t(g),v,d,!1).valueOf()),f[p+", Array"]=e.referToSelf(d=>(g,v)=>a(t(v),g,d,!0).valueOf())));var h=u.sS!==void 0?u.sS:u.Ss;return s?(u.Ss&&(f["SparseMatrix,"+p]=(d,g)=>u.Ss(d,g,s,!1)),h&&(f[p+", SparseMatrix"]=(d,g)=>h(g,d,s,!0))):(u.Ss&&(f["SparseMatrix,"+p]=e.referToSelf(d=>(g,v)=>u.Ss(g,v,d,!1))),h&&(f[p+", SparseMatrix"]=e.referToSelf(d=>(g,v)=>h(v,g,d,!0)))),s&&s.signatures&&Pf(f,s.signatures),f}});var DN="mod",sq=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix","concat"],cl=N(DN,sq,r=>{var{typed:e,config:t,round:n,matrix:i,equalScalar:a,zeros:o,DenseMatrix:l,concat:u}=r,s=ll({typed:e,config:t,round:n,matrix:i,equalScalar:a,zeros:o,DenseMatrix:l}),c=Pr({typed:e,equalScalar:a}),f=ir({typed:e}),p=Xa({typed:e,equalScalar:a}),m=Wt({typed:e,equalScalar:a}),h=kt({typed:e,DenseMatrix:l}),d=ct({typed:e,matrix:i,concat:u});return e(DN,{"number, number":g,"BigNumber, BigNumber":function(w,y){return y.isZero()?w:w.sub(y.mul(s(w.div(y))))},"Fraction, Fraction":function(w,y){return y.equals(0)?w:w.sub(y.mul(s(w.div(y))))}},d({SS:p,DS:f,SD:c,Ss:m,sS:h}));function g(v,w){return w===0?v:v-w*s(v/w)}});var uq="matAlgo01xDSid",lq=["typed"],bn=N(uq,lq,r=>{var{typed:e}=r;return function(n,i,a,o){var l=n._data,u=n._size,s=n._datatype,c=i._values,f=i._index,p=i._ptr,m=i._size,h=i._datatype;if(u.length!==m.length)throw new st(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!c)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var d=u[0],g=u[1],v=typeof s=="string"&&s===h?s:void 0,w=v?e.find(a,[v,v]):a,y,x,_=[];for(y=0;y<d;y++)_[y]=[];var b=[],D=[];for(x=0;x<g;x++){for(var S=x+1,A=p[x],E=p[x+1],M=A;M<E;M++)y=f[M],b[y]=o?w(c[M],l[y][x]):w(l[y][x],c[M]),D[y]=S;for(y=0;y<d;y++)D[y]===S?_[y][x]=b[y]:_[y][x]=l[y][x]}return n.createDenseMatrix({data:_,size:[d,g],datatype:v})}});var cq="matAlgo04xSidSid",fq=["typed","equalScalar"],Zs=N(cq,fq,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o){var l=i._values,u=i._index,s=i._ptr,c=i._size,f=i._datatype,p=a._values,m=a._index,h=a._ptr,d=a._size,g=a._datatype;if(c.length!==d.length)throw new st(c.length,d.length);if(c[0]!==d[0]||c[1]!==d[1])throw new RangeError("Dimension mismatch. Matrix A ("+c+") must match Matrix B ("+d+")");var v=c[0],w=c[1],y,x=t,_=0,b=o;typeof f=="string"&&f===g&&(y=f,x=e.find(t,[y,y]),_=e.convert(0,y),b=e.find(o,[y,y]));var D=l&&p?[]:void 0,S=[],A=[],E=l&&p?[]:void 0,M=l&&p?[]:void 0,F=[],P=[],k,O,I,T,q;for(O=0;O<w;O++){A[O]=S.length;var B=O+1;for(T=s[O],q=s[O+1],I=T;I<q;I++)k=u[I],S.push(k),F[k]=B,E&&(E[k]=l[I]);for(T=h[O],q=h[O+1],I=T;I<q;I++)if(k=m[I],F[k]===B){if(E){var U=b(E[k],p[I]);x(U,_)?F[k]=null:E[k]=U}}else S.push(k),P[k]=B,M&&(M[k]=p[I]);if(E&&M)for(I=A[O];I<S.length;)k=S[I],F[k]===B?(D[I]=E[k],I++):P[k]===B?(D[I]=M[k],I++):S.splice(I,1)}return A[w]=S.length,i.createSparseMatrix({values:D,index:S,ptr:A,size:[v,w],datatype:y})}});var pq="matAlgo10xSids",mq=["typed","DenseMatrix"],qn=N(pq,mq,r=>{var{typed:e,DenseMatrix:t}=r;return function(i,a,o,l){var u=i._values,s=i._index,c=i._ptr,f=i._size,p=i._datatype;if(!u)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var m=f[0],h=f[1],d,g=o;typeof p=="string"&&(d=p,a=e.convert(a,d),g=e.find(o,[d,d]));for(var v=[],w=[],y=[],x=0;x<h;x++){for(var _=x+1,b=c[x],D=c[x+1],S=b;S<D;S++){var A=s[S];w[A]=u[S],y[A]=_}for(var E=0;E<m;E++)x===0&&(v[E]=[]),y[E]===_?v[E][x]=l?g(a,w[E]):g(w[E],a):v[E][x]=a}return new t({data:v,size:[m,h],datatype:d})}});function ya(r,e,t,n){if(!(this instanceof ya))throw new SyntaxError("Constructor must be called with the new operator");this.fn=r,this.count=e,this.min=t,this.max=n,this.message="Wrong number of arguments in function "+r+" ("+e+" provided, "+t+(n!=null?"-"+n:"")+" expected)",this.stack=new Error().stack}ya.prototype=new Error;ya.prototype.constructor=Error;ya.prototype.name="ArgumentsError";ya.prototype.isArgumentsError=!0;var EN="gcd",dq=["typed","config","round","matrix","equalScalar","zeros","BigNumber","DenseMatrix","concat"],Fv="number | BigNumber | Fraction | Matrix | Array",hq="".concat(Fv,", ").concat(Fv,", ...").concat(Fv);function SN(r){return!r.some(e=>Array.isArray(e))}var Iv=N(EN,dq,r=>{var{typed:e,matrix:t,config:n,round:i,equalScalar:a,zeros:o,BigNumber:l,DenseMatrix:u,concat:s}=r,c=cl({typed:e,config:n,round:i,matrix:t,equalScalar:a,zeros:o,DenseMatrix:u,concat:s}),f=bn({typed:e}),p=Zs({typed:e,equalScalar:a}),m=qn({typed:e,DenseMatrix:u}),h=ct({typed:e,matrix:t,concat:s});return e(EN,{"number, number":d,"BigNumber, BigNumber":g,"Fraction, Fraction":(v,w)=>v.gcd(w)},h({SS:p,DS:f,Ss:m}),{[hq]:e.referToSelf(v=>(w,y,x)=>{for(var _=v(w,y),b=0;b<x.length;b++)_=v(_,x[b]);return _}),Array:e.referToSelf(v=>w=>{if(w.length===1&&Array.isArray(w[0])&&SN(w[0]))return v(...w[0]);if(SN(w))return v(...w);throw new ya("gcd() supports only 1d matrices!")}),Matrix:e.referToSelf(v=>w=>v(w.toArray()))});function d(v,w){if(!$e(v)||!$e(w))throw new Error("Parameters in function gcd must be integer numbers");for(var y;w!==0;)y=c(v,w),v=w,w=y;return v<0?-v:v}function g(v,w){if(!v.isInt()||!w.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var y=new l(0);!w.isZero();){var x=c(v,w);v=w,w=x}return v.lt(y)?v.neg():v}});var gq="matAlgo06xS0S0",vq=["typed","equalScalar"],Qa=N(gq,vq,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o){var l=i._values,u=i._size,s=i._datatype,c=a._values,f=a._size,p=a._datatype;if(u.length!==f.length)throw new st(u.length,f.length);if(u[0]!==f[0]||u[1]!==f[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+f+")");var m=u[0],h=u[1],d,g=t,v=0,w=o;typeof s=="string"&&s===p&&(d=s,g=e.find(t,[d,d]),v=e.convert(0,d),w=e.find(o,[d,d]));for(var y=l&&c?[]:void 0,x=[],_=[],b=y?[]:void 0,D=[],S=[],A=0;A<h;A++){_[A]=x.length;var E=A+1;if(Xh(i,A,D,b,S,E,x,w),Xh(a,A,D,b,S,E,x,w),b)for(var M=_[A];M<x.length;){var F=x[M];if(S[F]===E){var P=b[F];g(P,v)?x.splice(M,1):(y.push(P),M++)}else x.splice(M,1)}else for(var k=_[A];k<x.length;){var O=x[k];S[O]!==E?x.splice(k,1):k++}}return _[h]=x.length,i.createSparseMatrix({values:y,index:x,ptr:_,size:[m,h],datatype:d})}});var NN="lcm",yq=["typed","matrix","equalScalar","concat"],Bv=N(NN,yq,r=>{var{typed:e,matrix:t,equalScalar:n,concat:i}=r,a=Pr({typed:e,equalScalar:n}),o=Qa({typed:e,equalScalar:n}),l=Wt({typed:e,equalScalar:n}),u=ct({typed:e,matrix:t,concat:i}),s="number | BigNumber | Fraction | Matrix | Array",c={};return c["".concat(s,", ").concat(s,", ...").concat(s)]=e.referToSelf(p=>(m,h,d)=>{for(var g=p(m,h),v=0;v<d.length;v++)g=p(g,d[v]);return g}),e(NN,{"number, number":ug,"BigNumber, BigNumber":f,"Fraction, Fraction":(p,m)=>p.lcm(m)},u({SS:o,DS:a,Ss:l}),c);function f(p,m){if(!p.isInt()||!m.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(p.isZero())return p;if(m.isZero())return m;for(var h=p.times(m);!m.isZero();){var d=m;m=p.mod(d),p=d}return h.div(p).abs()}});var CN="log10",bq=["typed","config","Complex"],Pv=N(CN,bq,r=>{var{typed:e,config:t,Complex:n}=r;return e(CN,{number:function(a){return a>=0||t.predictable?lg(a):new n(a,0).log().div(Math.LN10)},Complex:function(a){return new n(a).log().div(Math.LN10)},BigNumber:function(a){return!a.isNegative()||t.predictable?a.log():new n(a.toNumber(),0).log().div(Math.LN10)},"Array | Matrix":e.referToSelf(i=>a=>Je(a,i))})});var MN="log2",xq=["typed","config","Complex"],Ov=N(MN,xq,r=>{var{typed:e,config:t,Complex:n}=r;return e(MN,{number:function(o){return o>=0||t.predictable?cg(o):i(new n(o,0))},Complex:i,BigNumber:function(o){return!o.isNegative()||t.predictable?o.log(2):i(new n(o.toNumber(),0))},"Array | Matrix":e.referToSelf(a=>o=>Je(o,a))});function i(a){var o=Math.sqrt(a.re*a.re+a.im*a.im);return new n(Math.log2?Math.log2(o):Math.log(o)/Math.LN2,Math.atan2(a.im,a.re)/Math.LN2)}});var wq="multiplyScalar",_q=["typed"],Rv=N(wq,_q,r=>{var{typed:e}=r;return e("multiplyScalar",{"number, number":rg,"Complex, Complex":function(n,i){return n.mul(i)},"BigNumber, BigNumber":function(n,i){return n.times(i)},"Fraction, Fraction":function(n,i){return n.mul(i)},"number | Fraction | BigNumber | Complex, Unit":(t,n)=>n.multiply(t),"Unit, number | Fraction | BigNumber | Complex | Unit":(t,n)=>t.multiply(n)})});var TN="multiply",Aq=["typed","matrix","addScalar","multiplyScalar","equalScalar","dot"],kv=N(TN,Aq,r=>{var{typed:e,matrix:t,addScalar:n,multiplyScalar:i,equalScalar:a,dot:o}=r,l=Wt({typed:e,equalScalar:a}),u=Br({typed:e});function s(_,b){switch(_.length){case 1:switch(b.length){case 1:if(_[0]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(_[0]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+_[0]+") must match Matrix rows ("+b[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+b.length+" dimensions)")}break;case 2:switch(b.length){case 1:if(_[1]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+_[1]+") must match Vector length ("+b[0]+")");break;case 2:if(_[1]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+_[1]+") must match Matrix B rows ("+b[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+b.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+_.length+" dimensions)")}}function c(_,b,D){if(D===0)throw new Error("Cannot multiply two empty vectors");return o(_,b)}function f(_,b){if(b.storage()!=="dense")throw new Error("Support for SparseMatrix not implemented");return p(_,b)}function p(_,b){var D=_._data,S=_._size,A=_._datatype,E=b._data,M=b._size,F=b._datatype,P=S[0],k=M[1],O,I=n,T=i;A&&F&&A===F&&typeof A=="string"&&(O=A,I=e.find(n,[O,O]),T=e.find(i,[O,O]));for(var q=[],B=0;B<k;B++){for(var U=T(D[0],E[0][B]),G=1;G<P;G++)U=I(U,T(D[G],E[G][B]));q[B]=U}return _.createDenseMatrix({data:q,size:[k],datatype:O})}var m=e("_multiplyMatrixVector",{"DenseMatrix, any":d,"SparseMatrix, any":w}),h=e("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":g,"DenseMatrix, SparseMatrix":v,"SparseMatrix, DenseMatrix":y,"SparseMatrix, SparseMatrix":x});function d(_,b){var D=_._data,S=_._size,A=_._datatype,E=b._data,M=b._datatype,F=S[0],P=S[1],k,O=n,I=i;A&&M&&A===M&&typeof A=="string"&&(k=A,O=e.find(n,[k,k]),I=e.find(i,[k,k]));for(var T=[],q=0;q<F;q++){for(var B=D[q],U=I(B[0],E[0]),G=1;G<P;G++)U=O(U,I(B[G],E[G]));T[q]=U}return _.createDenseMatrix({data:T,size:[F],datatype:k})}function g(_,b){var D=_._data,S=_._size,A=_._datatype,E=b._data,M=b._size,F=b._datatype,P=S[0],k=S[1],O=M[1],I,T=n,q=i;A&&F&&A===F&&typeof A=="string"&&(I=A,T=e.find(n,[I,I]),q=e.find(i,[I,I]));for(var B=[],U=0;U<P;U++){var G=D[U];B[U]=[];for(var H=0;H<O;H++){for(var L=q(G[0],E[0][H]),ie=1;ie<k;ie++)L=T(L,q(G[ie],E[ie][H]));B[U][H]=L}}return _.createDenseMatrix({data:B,size:[P,O],datatype:I})}function v(_,b){var D=_._data,S=_._size,A=_._datatype,E=b._values,M=b._index,F=b._ptr,P=b._size,k=b._datatype;if(!E)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var O=S[0],I=P[1],T,q=n,B=i,U=a,G=0;A&&k&&A===k&&typeof A=="string"&&(T=A,q=e.find(n,[T,T]),B=e.find(i,[T,T]),U=e.find(a,[T,T]),G=e.convert(0,T));for(var H=[],L=[],ie=[],ve=b.createSparseMatrix({values:H,index:L,ptr:ie,size:[O,I],datatype:T}),se=0;se<I;se++){ie[se]=L.length;var ue=F[se],he=F[se+1];if(he>ue)for(var K=0,re=0;re<O;re++){for(var me=re+1,de=void 0,Pe=ue;Pe<he;Pe++){var we=M[Pe];K!==me?(de=B(D[re][we],E[Pe]),K=me):de=q(de,B(D[re][we],E[Pe]))}K===me&&!U(de,G)&&(L.push(re),H.push(de))}}return ie[I]=L.length,ve}function w(_,b){var D=_._values,S=_._index,A=_._ptr,E=_._datatype;if(!D)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var M=b._data,F=b._datatype,P=_._size[0],k=b._size[0],O=[],I=[],T=[],q,B=n,U=i,G=a,H=0;E&&F&&E===F&&typeof E=="string"&&(q=E,B=e.find(n,[q,q]),U=e.find(i,[q,q]),G=e.find(a,[q,q]),H=e.convert(0,q));var L=[],ie=[];T[0]=0;for(var ve=0;ve<k;ve++){var se=M[ve];if(!G(se,H))for(var ue=A[ve],he=A[ve+1],K=ue;K<he;K++){var re=S[K];ie[re]?L[re]=B(L[re],U(se,D[K])):(ie[re]=!0,I.push(re),L[re]=U(se,D[K]))}}for(var me=I.length,de=0;de<me;de++){var Pe=I[de];O[de]=L[Pe]}return T[1]=I.length,_.createSparseMatrix({values:O,index:I,ptr:T,size:[P,1],datatype:q})}function y(_,b){var D=_._values,S=_._index,A=_._ptr,E=_._datatype;if(!D)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var M=b._data,F=b._datatype,P=_._size[0],k=b._size[0],O=b._size[1],I,T=n,q=i,B=a,U=0;E&&F&&E===F&&typeof E=="string"&&(I=E,T=e.find(n,[I,I]),q=e.find(i,[I,I]),B=e.find(a,[I,I]),U=e.convert(0,I));for(var G=[],H=[],L=[],ie=_.createSparseMatrix({values:G,index:H,ptr:L,size:[P,O],datatype:I}),ve=[],se=[],ue=0;ue<O;ue++){L[ue]=H.length;for(var he=ue+1,K=0;K<k;K++){var re=M[K][ue];if(!B(re,U))for(var me=A[K],de=A[K+1],Pe=me;Pe<de;Pe++){var we=S[Pe];se[we]!==he?(se[we]=he,H.push(we),ve[we]=q(re,D[Pe])):ve[we]=T(ve[we],q(re,D[Pe]))}}for(var V=L[ue],J=H.length,ce=V;ce<J;ce++){var W=H[ce];G[ce]=ve[W]}}return L[O]=H.length,ie}function x(_,b){var D=_._values,S=_._index,A=_._ptr,E=_._datatype,M=b._values,F=b._index,P=b._ptr,k=b._datatype,O=_._size[0],I=b._size[1],T=D&&M,q,B=n,U=i;E&&k&&E===k&&typeof E=="string"&&(q=E,B=e.find(n,[q,q]),U=e.find(i,[q,q]));for(var G=T?[]:void 0,H=[],L=[],ie=_.createSparseMatrix({values:G,index:H,ptr:L,size:[O,I],datatype:q}),ve=T?[]:void 0,se=[],ue,he,K,re,me,de,Pe,we,V=0;V<I;V++){L[V]=H.length;var J=V+1;for(me=P[V],de=P[V+1],re=me;re<de;re++)if(we=F[re],T)for(he=A[we],K=A[we+1],ue=he;ue<K;ue++)Pe=S[ue],se[Pe]!==J?(se[Pe]=J,H.push(Pe),ve[Pe]=U(M[re],D[ue])):ve[Pe]=B(ve[Pe],U(M[re],D[ue]));else for(he=A[we],K=A[we+1],ue=he;ue<K;ue++)Pe=S[ue],se[Pe]!==J&&(se[Pe]=J,H.push(Pe));if(T)for(var ce=L[V],W=H.length,ee=ce;ee<W;ee++){var ne=H[ee];G[ee]=ve[ne]}}return L[I]=H.length,ie}return e(TN,i,{"Array, Array":e.referTo("Matrix, Matrix",_=>(b,D)=>{s(tt(b),tt(D));var S=_(t(b),t(D));return Ge(S)?S.valueOf():S}),"Matrix, Matrix":function(b,D){var S=b.size(),A=D.size();return s(S,A),S.length===1?A.length===1?c(b,D,S[0]):f(b,D):A.length===1?m(b,D):h(b,D)},"Matrix, Array":e.referTo("Matrix,Matrix",_=>(b,D)=>_(b,t(D))),"Array, Matrix":e.referToSelf(_=>(b,D)=>_(t(b,D.storage()),D)),"SparseMatrix, any":function(b,D){return l(b,D,i,!1)},"DenseMatrix, any":function(b,D){return u(b,D,i,!1)},"any, SparseMatrix":function(b,D){return l(D,b,i,!0)},"any, DenseMatrix":function(b,D){return u(D,b,i,!0)},"Array, any":function(b,D){return u(t(b),D,i,!1).valueOf()},"any, Array":function(b,D){return u(t(D),b,i,!0).valueOf()},"any, any":i,"any, any, ...any":e.referToSelf(_=>(b,D,S)=>{for(var A=_(b,D),E=0;E<S.length;E++)A=_(A,S[E]);return A})})});var FN="nthRoot",Dq=["typed","matrix","equalScalar","BigNumber","concat"],Lv=N(FN,Dq,r=>{var{typed:e,matrix:t,equalScalar:n,BigNumber:i,concat:a}=r,o=bn({typed:e}),l=Pr({typed:e,equalScalar:n}),u=Qa({typed:e,equalScalar:n}),s=Wt({typed:e,equalScalar:n}),c=ct({typed:e,matrix:t,concat:a});function f(){throw new Error("Complex number not supported in function nthRoot. 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r.isZero()||e.eq(n)||r.eq(e)?e:e.isZero()||r.eq(n)?r:!r.isFinite()||!e.isFinite()?!r.isFinite()&&!r.isNegative()&&e.isNegative()||r.isNegative()&&!e.isNegative()&&!e.isFinite()?n:r.isNegative()&&e.isNegative()?r.isFinite()?r:e:r.isFinite()?e:r:Wv(r,e,function(i,a){return i|a})}function Wv(r,e,t){var n=r.constructor,i,a,o=+(r.s<0),l=+(e.s<0);if(o){i=op(Js(r));for(var u=0;u<i.length;++u)i[u]^=1}else i=op(r);if(l){a=op(Js(e));for(var s=0;s<a.length;++s)a[s]^=1}else a=op(e);var c,f,p;i.length<=a.length?(c=i,f=a,p=o):(c=a,f=i,p=l);var m=c.length,h=f.length,d=t(o,l)^1,g=new n(d^1),v=new n(1),w=new n(2),y=n.precision;for(n.config({precision:1e9});m>0;)t(c[--m],f[--h])===d&&(g=g.plus(v)),v=v.times(w);for(;h>0;)t(p,f[--h])===d&&(g=g.plus(v)),v=v.times(w);return n.config({precision:y}),d===0&&(g.s=-g.s),g}function op(r){for(var e=r.d,t=e[0]+"",n=1;n<e.length;++n){for(var i=e[n]+"",a=7-i.length;a--;)i="0"+i;t+=i}for(var o=t.length;t.charAt(o)==="0";)o--;var l=r.e,u=t.slice(0,o+1||1),s=u.length;if(l>0)if(++l>s)for(l-=s;l--;)u+="0";else l<s&&(u=u.slice(0,l)+"."+u.slice(l));for(var c=[0],f=0;f<u.length;){for(var p=c.length;p--;)c[p]*=10;c[0]+=parseInt(u.charAt(f++));for(var m=0;m<c.length;++m)c[m]>1&&((c[m+1]===null||c[m+1]===void 0)&&(c[m+1]=0),c[m+1]+=c[m]>>1,c[m]&=1)}return c.reverse()}function VN(r,e){if(r.isFinite()&&!r.isInteger()||e.isFinite()&&!e.isInteger())throw new Error("Integers expected in function bitXor");var t=r.constructor;if(r.isNaN()||e.isNaN())return new t(NaN);if(r.isZero())return e;if(e.isZero())return r;if(r.eq(e))return new t(0);var n=new t(-1);return r.eq(n)?Js(e):e.eq(n)?Js(r):!r.isFinite()||!e.isFinite()?!r.isFinite()&&!e.isFinite()?n:new t(r.isNegative()===e.isNegative()?1/0:-1/0):Wv(r,e,function(i,a){return i^a})}function qN(r,e){if(r.isFinite()&&!r.isInteger()||e.isFinite()&&!e.isInteger())throw new Error("Integers expected in function leftShift");var t=r.constructor;return r.isNaN()||e.isNaN()||e.isNegative()&&!e.isZero()?new t(NaN):r.isZero()||e.isZero()?r:!r.isFinite()&&!e.isFinite()?new t(NaN):e.lt(55)?r.times(Math.pow(2,e.toNumber())+""):r.times(new t(2).pow(e))}function zN(r,e){if(r.isFinite()&&!r.isInteger()||e.isFinite()&&!e.isInteger())throw new Error("Integers expected in function rightArithShift");var t=r.constructor;return r.isNaN()||e.isNaN()||e.isNegative()&&!e.isZero()?new t(NaN):r.isZero()||e.isZero()?r:e.isFinite()?e.lt(55)?r.div(Math.pow(2,e.toNumber())+"").floor():r.div(new t(2).pow(e)).floor():r.isNegative()?new t(-1):r.isFinite()?new t(0):new t(NaN)}var $N="bitAnd",Oq=["typed","matrix","equalScalar","concat"],fl=N($N,Oq,r=>{var{typed:e,matrix:t,equalScalar:n,concat:i}=r,a=Pr({typed:e,equalScalar:n}),o=Qa({typed:e,equalScalar:n}),l=Wt({typed:e,equalScalar:n}),u=ct({typed:e,matrix:t,concat:i});return e($N,{"number, number":gg,"BigNumber, BigNumber":LN},u({SS:o,DS:a,Ss:l}))});var HN="bitNot",Rq=["typed"],jv=N(HN,Rq,r=>{var{typed:e}=r;return e(HN,{number:vg,BigNumber:Js,"Array | Matrix":e.referToSelf(t=>n=>Je(n,t))})});var GN="bitOr",kq=["typed","matrix","equalScalar","DenseMatrix","concat"],pl=N(GN,kq,r=>{var{typed:e,matrix:t,equalScalar:n,DenseMatrix:i,concat:a}=r,o=bn({typed:e}),l=Zs({typed:e,equalScalar:n}),u=qn({typed:e,DenseMatrix:i}),s=ct({typed:e,matrix:t,concat:a});return e(GN,{"number, number":yg,"BigNumber, BigNumber":UN},s({SS:l,DS:o,Ss:u}))});var Lq="matAlgo07xSSf",Uq=["typed","DenseMatrix"],Vr=N(Lq,Uq,r=>{var{typed:e,DenseMatrix:t}=r;return function(a,o,l){var u=a._size,s=a._datatype,c=o._size,f=o._datatype;if(u.length!==c.length)throw new st(u.length,c.length);if(u[0]!==c[0]||u[1]!==c[1])throw new RangeError("Dimension mismatch. 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KC="rightLogShift",p$=["typed","matrix","equalScalar","zeros","DenseMatrix","concat"],Xy=N(KC,p$,r=>{var{typed:e,matrix:t,equalScalar:n,zeros:i,DenseMatrix:a,concat:o}=r,l=bn({typed:e}),u=Pr({typed:e,equalScalar:n}),s=Ks({typed:e,equalScalar:n}),c=qn({typed:e,DenseMatrix:a}),f=Wt({typed:e,equalScalar:n}),p=Br({typed:e}),m=ct({typed:e,matrix:t,concat:o}),h=eu({typed:e,matrix:t});return e(KC,{"number, number":_g,"SparseMatrix, number | BigNumber":e.referToSelf(d=>(g,v)=>n(v,0)?g.clone():f(g,v,d,!1)),"DenseMatrix, number | BigNumber":e.referToSelf(d=>(g,v)=>n(v,0)?g.clone():p(g,v,d,!1)),"number | BigNumber, SparseMatrix":e.referToSelf(d=>(g,v)=>n(g,0)?i(v.size(),v.storage()):c(v,g,d,!0)),"number | BigNumber, DenseMatrix":e.referToSelf(d=>(g,v)=>n(g,0)?i(v.size(),v.storage()):p(v,g,d,!0))},h,m({SS:s,DS:l,SD:u}))});var eM="and",m$=["typed","matrix","equalScalar","zeros","not","concat"],_l=N(eM,m$,r=>{var{typed:e,matrix:t,equalScalar:n,zeros:i,not:a,concat:o}=r,l=Pr({typed:e,equalScalar:n}),u=Qa({typed:e,equalScalar:n}),s=Wt({typed:e,equalScalar:n}),c=Br({typed:e}),f=ct({typed:e,matrix:t,concat:o});return e(eM,{"number, number":Cg,"Complex, Complex":function(m,h){return(m.re!==0||m.im!==0)&&(h.re!==0||h.im!==0)},"BigNumber, BigNumber":function(m,h){return!m.isZero()&&!h.isZero()&&!m.isNaN()&&!h.isNaN()},"Unit, Unit":e.referToSelf(p=>(m,h)=>p(m.value||0,h.value||0)),"SparseMatrix, any":e.referToSelf(p=>(m,h)=>a(h)?i(m.size(),m.storage()):s(m,h,p,!1)),"DenseMatrix, any":e.referToSelf(p=>(m,h)=>a(h)?i(m.size(),m.storage()):c(m,h,p,!1)),"any, SparseMatrix":e.referToSelf(p=>(m,h)=>a(m)?i(m.size(),m.storage()):s(h,m,p,!0)),"any, DenseMatrix":e.referToSelf(p=>(m,h)=>a(m)?i(m.size(),m.storage()):c(h,m,p,!0)),"Array, any":e.referToSelf(p=>(m,h)=>p(t(m),h).valueOf()),"any, 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nM="compareNatural",g$=["typed","compare"],Ky=N(nM,g$,r=>{var{typed:e,compare:t}=r,n=t.signatures["boolean,boolean"];return e(nM,{"any, any":i});function i(u,s){var c=Ct(u),f=Ct(s),p;if((c==="number"||c==="BigNumber"||c==="Fraction")&&(f==="number"||f==="BigNumber"||f==="Fraction"))return p=t(u,s),p.toString()!=="0"?p>0?1:-1:(0,qo.default)(c,f);var m=["Array","DenseMatrix","SparseMatrix"];if(m.includes(c)||m.includes(f))return p=a(i,u,s),p!==0?p:(0,qo.default)(c,f);if(c!==f)return(0,qo.default)(c,f);if(c==="Complex")return v$(u,s);if(c==="Unit")return u.equalBase(s)?i(u.value,s.value):o(i,u.formatUnits(),s.formatUnits());if(c==="boolean")return n(u,s);if(c==="string")return(0,qo.default)(u,s);if(c==="Object")return l(i,u,s);if(c==="null"||c==="undefined")return 0;throw new TypeError('Unsupported type of value "'+c+'"')}function a(u,s,c){return 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fp="equal",b$=["typed","matrix","equalScalar","DenseMatrix","concat"],t0=N(fp,b$,r=>{var{typed:e,matrix:t,equalScalar:n,DenseMatrix:i,concat:a}=r,o=ir({typed:e}),l=Vr({typed:e,DenseMatrix:i}),u=kt({typed:e,DenseMatrix:i}),s=ct({typed:e,matrix:t,concat:a});return e(fp,x$({typed:e,equalScalar:n}),s({elop:n,SS:l,DS:o,Ss:u}))}),x$=N(fp,["typed","equalScalar"],r=>{var{typed:e,equalScalar:t}=r;return e(fp,{"any, any":function(i,a){return i===null?a===null:a===null?i===null:i===void 0?a===void 0:a===void 0?i===void 0:t(i,a)}})});var aM="equalText",w$=["typed","compareText","isZero"],r0=N(aM,w$,r=>{var{typed:e,compareText:t,isZero:n}=r;return e(aM,{"any, any":function(a,o){return n(t(a,o))}})});var pp="smaller",_$=["typed","config","matrix","DenseMatrix","concat"],n0=N(pp,_$,r=>{var{typed:e,config:t,matrix:n,DenseMatrix:i,concat:a}=r,o=ir({typed:e}),l=Vr({typed:e,DenseMatrix:i}),u=kt({typed:e,DenseMatrix:i}),s=ct({typed:e,matrix:n,concat:a}),c=vi({typed:e});return 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hp="largerEq",C$=["typed","config","matrix","DenseMatrix","concat"],o0=N(hp,C$,r=>{var{typed:e,config:t,matrix:n,DenseMatrix:i,concat:a}=r,o=ir({typed:e}),l=Vr({typed:e,DenseMatrix:i}),u=kt({typed:e,DenseMatrix:i}),s=ct({typed:e,matrix:n,concat:a}),c=vi({typed:e});return e(hp,M$({typed:e,config:t}),{"boolean, boolean":(f,p)=>f>=p,"BigNumber, BigNumber":function(p,m){return p.gte(m)||en(p,m,t.epsilon)},"Fraction, Fraction":(f,p)=>f.compare(p)!==-1,"Complex, Complex":function(){throw new TypeError("No ordering relation is defined for complex numbers")}},c,s({SS:l,DS:o,Ss:u}))}),M$=N(hp,["typed","config"],r=>{var{typed:e,config:t}=r;return e(hp,{"number, number":function(i,a){return i>=a||Ir(i,a,t.epsilon)}})});var oM="deepEqual",T$=["typed","equal"],s0=N(oM,T$,r=>{var{typed:e,equal:t}=r;return e(oM,{"any, any":function(a,o){return n(a.valueOf(),o.valueOf())}});function n(i,a){if(Array.isArray(i))if(Array.isArray(a)){var o=i.length;if(o!==a.length)return!1;for(var 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A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]};var IT={name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]};var BT={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]};var PT={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]};var OT={name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]};var RT={name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]};var kT={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]};var LT={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]};var UT={name:"phi",category:"Constants",syntax:["phi"],description:"Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...",examples:["phi"],seealso:[]};var qb={name:"pi",category:"Constants",syntax:["pi"],description:"The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159",examples:["pi","sin(pi/2)"],seealso:["tau"]};var VT={name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]};var qT={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]};var zT={name:"tau",category:"Constants",syntax:["tau"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]};var $T={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]};var HT={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]};var GT={name:"bignumber",category:"Construction",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]};var WT={name:"boolean",category:"Construction",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]};var jT={name:"complex",category:"Construction",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]};var ZT={name:"createUnit",category:"Construction",syntax:["createUnit(definitions)","createUnit(name, definition)"],description:"Create a user-defined unit and register it with the Unit type.",examples:['createUnit("foo")','createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})','createUnit("mph", "1 mile/hour")'],seealso:["unit","splitUnit"]};var JT={name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(matrix)","fraction(num,den)","fraction({n: num, d: den})"],description:"Create a fraction from a number or from integer numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)","fraction({n: 333, d: 53})","fraction([sqrt(9), sqrt(10), sqrt(11)])"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]};var YT={name:"index",category:"Construction",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[1:2, 1:2] = 1","B = [1, 2, 3]","B[B>1 and B<3]"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]};var XT={name:"matrix",category:"Construction",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]};var QT={name:"number",category:"Construction",syntax:["x","number(x)","number(unit, valuelessUnit)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number(unit("52cm"), "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]};var KT={name:"sparse",category:"Construction",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]};var e2={name:"splitUnit",category:"Construction",syntax:["splitUnit(unit: Unit, parts: Unit[])"],description:"Split a unit in an array of units whose sum is equal to the original unit.",examples:['splitUnit(1 m, ["feet", "inch"])'],seealso:["unit","createUnit"]};var t2={name:"string",category:"Construction",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]};var r2={name:"unit",category:"Construction",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]};var n2={name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]};var i2={name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]};var a2={name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number": f(x)=x+x, "string": f(x)=concat(x,x) })',"double(2)",'double("hello")'],seealso:[]};var o2={name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]};var s2={name:"leafCount",category:"Algebra",syntax:["leafCount(expr)"],description:"Computes the number of leaves in the parse tree of the given expression",examples:['leafCount("e^(i*pi)-1")','leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'],seealso:["simplify"]};var u2={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolveAll","lup","lusolve","usolve","matrix","sparse"]};var l2={name:"lsolveAll",category:"Algebra",syntax:["x=lsolveAll(L, b)"],description:"Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolve","lup","lusolve","usolve","matrix","sparse"]};var c2={name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]};var f2={name:"lusolve",category:"Algebra",syntax:["x=lusolve(A, b)","x=lusolve(lu, b)"],description:"Solves the linear system A * x = b where A is an [n x n] matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lusolve(a, b)"],seealso:["lup","slu","lsolve","usolve","matrix","sparse"]};var p2={name:"polynomialRoot",category:"Algebra",syntax:["x=polynomialRoot(-6, 3)","x=polynomialRoot(4, -4, 1)","x=polynomialRoot(-8, 12, -6, 1)"],description:"Finds the roots of a univariate polynomial given by its coefficients starting from constant, linear, and so on, increasing in degree.",examples:["a = polynomialRoot(-6, 11, -6, 1)"],seealso:["cbrt","sqrt"]};var m2={name:"qr",category:"Algebra",syntax:["qr(A)"],description:"Calculates the Matrix QR decomposition. Matrix `A` is decomposed in two matrices (`Q`, `R`) where `Q` is an orthogonal matrix and `R` is an upper triangular matrix.",examples:["qr([[1, -1,  4], [1,  4, -2], [1,  4,  2], [1,  -1, 0]])"],seealso:["lup","slu","matrix"]};var d2={name:"rationalize",category:"Algebra",syntax:["rationalize(expr)","rationalize(expr, scope)","rationalize(expr, scope, detailed)"],description:"Transform a rationalizable expression in a rational fraction. If rational fraction is one variable polynomial then converts the numerator and denominator in canonical form, with decreasing exponents, returning the coefficients of numerator.",examples:['rationalize("2x/y - y/(x+1)")','rationalize("2x/y - y/(x+1)", true)'],seealso:["simplify"]};var h2={name:"resolve",category:"Algebra",syntax:["resolve(node, scope)"],description:"Recursively substitute variables in an expression tree.",examples:['resolve(parse("1 + x"), { x: 7 })','resolve(parse("size(text)"), { text: "Hello World" })','resolve(parse("x + y"), { x: parse("3z") })','resolve(parse("3x"), { x: parse("y+z"), z: parse("w^y") })'],seealso:["simplify","evaluate"],mayThrow:["ReferenceError"]};var g2={name:"simplify",category:"Algebra",syntax:["simplify(expr)","simplify(expr, rules)"],description:"Simplify an expression tree.",examples:['simplify("3 + 2 / 4")','simplify("2x + x")','f = parse("x * (x + 2 + x)")',"simplified = simplify(f)","simplified.evaluate({x: 2})"],seealso:["simplifyCore","derivative","evaluate","parse","rationalize","resolve"]};var v2={name:"simplifyConstant",category:"Algebra",syntax:["simplifyConstant(expr)","simplifyConstant(expr, options)"],description:"Replace constant subexpressions of node with their values.",examples:['simplifyConstant("(3-3)*x")','simplifyConstant(parse("z-cos(tau/8)"))'],seealso:["simplify","simplifyCore","evaluate"]};var y2={name:"simplifyCore",category:"Algebra",syntax:["simplifyCore(node)"],description:"Perform simple one-pass simplifications on an expression tree.",examples:['simplifyCore(parse("0*x"))','simplifyCore(parse("(x+0)*2"))'],seealso:["simplify","simplifyConstant","evaluate"]};var b2={name:"slu",category:"Algebra",syntax:["slu(A, order, threshold)"],description:"Calculate the Matrix LU decomposition with full pivoting. Matrix A is decomposed in two matrices (L, U) and two permutation vectors (pinv, q) where P * A * Q = L * U",examples:["slu(sparse([4.5, 0, 3.2, 0; 3.1, 2.9, 0, 0.9; 0, 1.7, 3, 0; 3.5, 0.4, 0, 1]), 1, 0.001)"],seealso:["lusolve","lsolve","usolve","matrix","sparse","lup","qr"]};var x2={name:"symbolicEqual",category:"Algebra",syntax:["symbolicEqual(expr1, expr2)","symbolicEqual(expr1, expr2, options)"],description:"Returns true if the difference of the expressions simplifies to 0",examples:['symbolicEqual("x*y","y*x")','symbolicEqual("abs(x^2)", "x^2")','symbolicEqual("abs(x)", "x", {context: {abs: {trivial: true}}})'],seealso:["simplify","evaluate"]};var w2={name:"usolve",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds one solution of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolveAll","lup","lusolve","lsolve","matrix","sparse"]};var _2={name:"usolveAll",category:"Algebra",syntax:["x=usolve(U, b)"],description:"Finds all solutions of the linear system U * x = b where U is an [n x n] upper triangular matrix and b is a [n] column vector.",examples:["x=usolve(sparse([1, 1, 1, 1; 0, 1, 1, 1; 0, 0, 1, 1; 0, 0, 0, 1]), [1; 2; 3; 4])"],seealso:["usolve","lup","lusolve","lsolve","matrix","sparse"]};var A2={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]};var D2={name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["a = 2.1 + 3.6","a - 3.6","3 + 2i","3 cm + 2 inch",'"2.3" + "4"'],seealso:["subtract"]};var E2={name:"cbrt",category:"Arithmetic",syntax:["cbrt(x)","cbrt(x, allRoots)"],description:"Compute the cubic root value. If x = y * y * y, then y is the cubic root of x. When `x` is a number or complex number, an optional second argument `allRoots` can be provided to return all three cubic roots. If not provided, the principal root is returned",examples:["cbrt(64)","cube(4)","cbrt(-8)","cbrt(2 + 3i)","cbrt(8i)","cbrt(8i, true)","cbrt(27 m^3)"],seealso:["square","sqrt","cube","multiply"]};var S2={name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity. If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]};var N2={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]};var C2={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["a = 2 / 3","a * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]};var M2={name:"dotDivide",category:"Operators",syntax:["x ./ y","dotDivide(x, y)"],description:"Divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","dotMultiply","divide"]};var T2={name:"dotMultiply",category:"Operators",syntax:["x .* y","dotMultiply(x, y)"],description:"Multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","dotDivide"]};var F2={name:"dotPow",category:"Operators",syntax:["x .^ y","dotPow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]};var I2={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["expm","expm1","pow","log"]};var B2={name:"expm",category:"Arithmetic",syntax:["exp(x)"],description:"Compute the matrix exponential, expm(A) = e^A. The matrix must be square. Not to be confused with exp(a), which performs element-wise exponentiation.",examples:["expm([[0,2],[0,0]])"],seealso:["exp"]};var P2={name:"expm1",category:"Arithmetic",syntax:["expm1(x)"],description:"Calculate the value of subtracting 1 from the exponential value.",examples:["expm1(2)","pow(e, 2) - 1","log(expm1(2) + 1)"],seealso:["exp","pow","log"]};var O2={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero. If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]};var R2={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]};var k2={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]};var L2={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]};var U2={name:"invmod",category:"Arithmetic",syntax:["invmod(a, b)"],description:"Calculate the (modular) multiplicative inverse of a modulo b. Solution to the equation ax \u2263 1 (mod b)",examples:["invmod(8, 12)","invmod(7, 13)","invmod(15151, 15122)"],seealso:["gcd","xgcd"]};var V2={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]};var q2={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 4","log(10000, 10)","log(10000) / log(10)","b = log(1024, 2)","2 ^ b"],seealso:["exp","log1p","log2","log10"]};var z2={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(0.00001)","log10(10000)","10 ^ 4","log(10000) / log(10)","log(10000, 10)"],seealso:["exp","log"]};var $2={name:"log1p",category:"Arithmetic",syntax:["log1p(x)","log1p(x, base)"],description:"Calculate the logarithm of a `value+1`",examples:["log1p(2.5)","exp(log1p(1.4))","pow(10, 4)","log1p(9999, 10)","log1p(9999) / log(10)"],seealso:["exp","log","log2","log10"]};var H2={name:"log2",category:"Arithmetic",syntax:["log2(x)"],description:"Calculate the 2-base of a value. This is the same as calculating `log(x, 2)`.",examples:["log2(0.03125)","log2(16)","log2(16) / log2(2)","pow(2, 4)"],seealso:["exp","log1p","log","log10"]};var G2={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:["divide"]};var W2={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["a = 2.1 * 3.4","a / 3.4","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]};var j2={name:"norm",category:"Arithmetic",syntax:["norm(x)","norm(x, p)"],description:"Calculate the norm of a number, vector or matrix.",examples:["abs(-3.5)","norm(-3.5)","norm(3 - 4i)","norm([1, 2, -3], Infinity)","norm([1, 2, -3], -Infinity)","norm([3, 4], 2)","norm([[1, 2], [3, 4]], 1)",'norm([[1, 2], [3, 4]], "inf")','norm([[1, 2], [3, 4]], "fro")']};var Z2={name:"nthRoot",category:"Arithmetic",syntax:["nthRoot(a)","nthRoot(a, root)"],description:'Calculate the nth root of a value. The principal nth root of a positive real number A, is the positive real solution of the equation "x^root = A".',examples:["4 ^ 3","nthRoot(64, 3)","nthRoot(9, 2)","sqrt(9)"],seealso:["nthRoots","pow","sqrt"]};var J2={name:"nthRoots",category:"Arithmetic",syntax:["nthRoots(A)","nthRoots(A, root)"],description:'Calculate the nth roots of a value. An nth root of a positive real number A, is a positive real solution of the equation "x^root = A". This function returns an array of complex values.',examples:["nthRoots(1)","nthRoots(1, 3)"],seealso:["sqrt","pow","nthRoot"]};var Y2={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3","2*2*2","1 + e ^ (pi * i)","pow([[1, 2], [4, 3]], 2)","pow([[1, 2], [4, 3]], -1)"],seealso:["multiply","nthRoot","nthRoots","sqrt"]};var X2={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)","round(unit, valuelessUnit)","round(unit, n, valuelessUnit)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)","round(3.241cm, 2, cm)","round([3.2, 3.8, -4.7])"],seealso:["ceil","floor","fix"]};var Q2={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]};var K2={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","sqrtm","multiply","nthRoot","nthRoots","pow"]};var eF={name:"sqrtm",category:"Arithmetic",syntax:["sqrtm(x)"],description:"Calculate the principal square root of a square matrix. The principal square root matrix `X` of another matrix `A` is such that `X * X = A`.",examples:["sqrtm([[33, 24], [48, 57]])"],seealso:["sqrt","abs","square","multiply"]};var tF={name:"sylvester",category:"Algebra",syntax:["sylvester(A,B,C)"],description:"Solves the real-valued Sylvester equation AX+XB=C for X",examples:["sylvester([[-1, -2], [1, 1]], [[-2, 1], [-1, 2]], [[-3, 2], [3, 0]])","A = [[-1, -2], [1, 1]]; B = [[2, -1], [1, -2]]; C = [[-3, 2], [3, 0]]","sylvester(A, B, C)"],seealso:["schur","lyap"]};var rF={name:"schur",category:"Algebra",syntax:["schur(A)"],description:"Performs a real Schur decomposition of the real matrix A = UTU'",examples:["schur([[1, 0], [-4, 3]])","A = [[1, 0], [-4, 3]]","schur(A)"],seealso:["lyap","sylvester"]};var nF={name:"lyap",category:"Algebra",syntax:["lyap(A,Q)"],description:"Solves the Continuous-time Lyapunov equation AP+PA'+Q=0 for P",examples:["lyap([[-2, 0], [1, -4]], [[3, 1], [1, 3]])","A = [[-2, 0], [1, -4]]","Q = [[3, 1], [1, 3]]","lyap(A,Q)"],seealso:["schur","sylvester"]};var iF={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]};var aF={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["a = 5.3 - 2","a + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]};var oF={name:"unaryMinus",category:"Operators",syntax:["-x","unaryMinus(x)"],description:"Inverse the sign of a value. Converts booleans and strings to numbers.",examples:["-4.5","-(-5.6)",'-"22"'],seealso:["add","subtract","unaryPlus"]};var sF={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]};var uF={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values. The result is an array [d, x, y] with 3 entries, where d is the greatest common divisor, and d = x * a + y * b.",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]};var lF={name:"bitAnd",category:"Bitwise",syntax:["x & y","bitAnd(x, y)"],description:"Bitwise AND operation. Performs the logical AND operation on each pair of the corresponding bits of the two given values by multiplying them. If both bits in the compared position are 1, the bit in the resulting binary representation is 1, otherwise, the result is 0",examples:["5 & 3","bitAnd(53, 131)","[1, 12, 31] & 42"],seealso:["bitNot","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]};var cF={name:"bitNot",category:"Bitwise",syntax:["~x","bitNot(x)"],description:"Bitwise NOT operation. Performs a logical negation on each bit of the given value. Bits that are 0 become 1, and those that are 1 become 0.",examples:["~1","~2","bitNot([2, -3, 4])"],seealso:["bitAnd","bitOr","bitXor","leftShift","rightArithShift","rightLogShift"]};var fF={name:"bitOr",category:"Bitwise",syntax:["x | y","bitOr(x, y)"],description:"Bitwise OR operation. Performs the logical inclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if the first bit is 1 or the second bit is 1 or both bits are 1, otherwise, the result is 0.",examples:["5 | 3","bitOr([1, 2, 3], 4)"],seealso:["bitAnd","bitNot","bitXor","leftShift","rightArithShift","rightLogShift"]};var pF={name:"bitXor",category:"Bitwise",syntax:["bitXor(x, y)"],description:"Bitwise XOR operation, exclusive OR. Performs the logical exclusive OR operation on each pair of corresponding bits of the two given values. The result in each position is 1 if only the first bit is 1 or only the second bit is 1, but will be 0 if both are 0 or both are 1.",examples:["bitOr(1, 2)","bitXor([2, 3, 4], 4)"],seealso:["bitAnd","bitNot","bitOr","leftShift","rightArithShift","rightLogShift"]};var mF={name:"leftShift",category:"Bitwise",syntax:["x << y","leftShift(x, y)"],description:"Bitwise left logical shift of a value x by y number of bits.",examples:["4 << 1","8 >> 1"],seealso:["bitAnd","bitNot","bitOr","bitXor","rightArithShift","rightLogShift"]};var dF={name:"rightArithShift",category:"Bitwise",syntax:["x >> y","rightArithShift(x, y)"],description:"Bitwise right arithmetic shift of a value x by y number of bits.",examples:["8 >> 1","4 << 1","-12 >> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightLogShift"]};var hF={name:"rightLogShift",category:"Bitwise",syntax:["x >>> y","rightLogShift(x, y)"],description:"Bitwise right logical shift of a value x by y number of bits.",examples:["8 >>> 1","4 << 1","-12 >>> 2"],seealso:["bitAnd","bitNot","bitOr","bitXor","leftShift","rightArithShift"]};var gF={name:"bellNumbers",category:"Combinatorics",syntax:["bellNumbers(n)"],description:"The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S. `bellNumbers` only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["bellNumbers(3)","bellNumbers(8)"],seealso:["stirlingS2"]};var vF={name:"catalan",category:"Combinatorics",syntax:["catalan(n)"],description:"The Catalan Numbers enumerate combinatorial structures of many different types. catalan only takes integer arguments. The following condition must be enforced: n >= 0.",examples:["catalan(3)","catalan(8)"],seealso:["bellNumbers"]};var yF={name:"composition",category:"Combinatorics",syntax:["composition(n, k)"],description:"The composition counts of n into k parts. composition only takes integer arguments. The following condition must be enforced: k <= n.",examples:["composition(5, 3)"],seealso:["combinations"]};var bF={name:"stirlingS2",category:"Combinatorics",syntax:["stirlingS2(n, k)"],description:"he Stirling numbers of the second kind, counts the number of ways to partition a set of n labelled objects into k nonempty unlabelled subsets. `stirlingS2` only takes integer arguments. The following condition must be enforced: k <= n. If n = k or k = 1, then s(n,k) = 1.",examples:["stirlingS2(5, 3)"],seealso:["bellNumbers"]};var xF={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 + 3i)"],seealso:["re","im","conj","abs"]};var wF={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]};var _F={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]};var AF={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]};var DF={name:"evaluate",category:"Expression",syntax:["evaluate(expression)","evaluate(expression, scope)","evaluate([expr1, expr2, expr3, ...])","evaluate([expr1, expr2, expr3, ...], scope)"],description:"Evaluate an expression or an array with expressions.",examples:['evaluate("2 + 3")','evaluate("sqrt(16)")','evaluate("2 inch to cm")','evaluate("sin(x * pi)", { "x": 1/2 })','evaluate(["width=2", "height=4","width*height"])'],seealso:[]};var EF={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]};var SF={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2]])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]};var NF={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1],  [4, -2, 2], [1, 1, 1, 6])"],seealso:[]};var CF={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]};var MF={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]};var TF={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]};var FF={name:"xor",category:"Logical",syntax:["x xor y","xor(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 xor 4"],seealso:["not","and","or"]};var IF={name:"column",category:"Matrix",syntax:["column(x, index)"],description:"Return a column from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","column(A, 1)","column(A, 2)"],seealso:["row","matrixFromColumns"]};var BF={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};var PF={name:"count",category:"Matrix",syntax:["count(x)"],description:"Count the number of elements of a matrix, array or string.",examples:["a = [1, 2; 3, 4; 5, 6]","count(a)","size(a)",'count("hello world")'],seealso:["size"]};var OF={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0],  [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4],  [5, 6, 7])"],seealso:["multiply","dot"]};var RF={name:"ctranspose",category:"Matrix",syntax:["x'","ctranspose(x)"],description:"Complex Conjugate and Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","ctranspose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]};var kF={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};var LF={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","identity","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};var UF={name:"diff",category:"Matrix",syntax:["diff(arr)","diff(arr, dim)"],description:["Create a new matrix or array with the difference of the passed matrix or array.","Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference","If no dimension parameter is passed it is assumed as dimension 0","Dimension is zero-based in javascript and one-based in the parser","Arrays must be 'rectangular' meaning arrays like [1, 2]","If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"],examples:["A = [1, 2, 4, 7, 0]","diff(A)","diff(A, 1)","B = [[1, 2], [3, 4]]","diff(B)","diff(B, 1)","diff(B, 2)","diff(B, bignumber(2))","diff([[1, 2], matrix([3, 4])], 2)"],seealso:["subtract","partitionSelect"]};var VF={name:"dot",category:"Matrix",syntax:["dot(A, B)","A * B"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]};var qF={name:"eigs",category:"Matrix",syntax:["eigs(x)"],description:"Calculate the eigenvalues and optionally eigenvectors of a square matrix",examples:["eigs([[5, 2.3], [2.3, 1]])","eigs([[1, 2, 3], [4, 5, 6], [7, 8, 9]], { precision: 1e-6, eigenvectors: false })"],seealso:["inv"]};var zF={name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]};var $F={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]};var HF={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["numberOfPets = {}","addPet(n) = numberOfPets[n] = (numberOfPets[n] ? numberOfPets[n]:0 ) + 1;",'forEach(["Dog","Cat","Cat"], addPet)',"numberOfPets"],seealso:["map","sort","filter"]};var GF={name:"getMatrixDataType",category:"Matrix",syntax:["getMatrixDataType(x)"],description:'Find the data type of all elements in a matrix or array, for example "number" if all items are a number and "Complex" if all values are complex numbers. If a matrix contains more than one data type, it will return "mixed".',examples:["getMatrixDataType([1, 2, 3])","getMatrixDataType([[5 cm], [2 inch]])",'getMatrixDataType([1, "text"])',"getMatrixDataType([1, bignumber(4)])"],seealso:["matrix","sparse","typeOf"]};var WF={name:"identity",category:"Matrix",syntax:["identity(n)","identity(m, n)","identity([m, n])"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["identity(3)","identity(3, 5)","a = [1, 2, 3; 4, 5, 6]","identity(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]};var jF={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","identity","ones","range","size","squeeze","subset","trace","transpose","zeros"]};var ZF={name:"pinv",category:"Matrix",syntax:["pinv(x)"],description:"Calculate the Moore\u2013Penrose inverse of a matrix",examples:["pinv([1, 2; 3, 4])","pinv([[1, 0], [0, 1], [0, 1]])","pinv(4)"],seealso:["inv"]};var JF={name:"kron",category:"Matrix",syntax:["kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]};var YF={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]};var XF={name:"matrixFromColumns",category:"Matrix",syntax:["matrixFromColumns(...arr)","matrixFromColumns(row1, row2)","matrixFromColumns(row1, row2, row3)"],description:"Create a dense matrix from vectors as individual columns.",examples:["matrixFromColumns([1, 2, 3], [[4],[5],[6]])"],seealso:["matrix","matrixFromRows","matrixFromFunction","zeros"]};var QF={name:"matrixFromFunction",category:"Matrix",syntax:["matrixFromFunction(size, fn)","matrixFromFunction(size, fn, format)","matrixFromFunction(size, fn, format, datatype)","matrixFromFunction(size, format, fn)","matrixFromFunction(size, format, datatype, fn)"],description:"Create a matrix by evaluating a generating function at each index.",examples:["f(I) = I[1] - I[2]","matrixFromFunction([3,3], f)","g(I) = I[1] - I[2] == 1 ? 4 : 0",'matrixFromFunction([100, 100], "sparse", g)',"matrixFromFunction([5], random)"],seealso:["matrix","matrixFromRows","matrixFromColumns","zeros"]};var KF={name:"matrixFromRows",category:"Matrix",syntax:["matrixFromRows(...arr)","matrixFromRows(row1, row2)","matrixFromRows(row1, row2, row3)"],description:"Create a dense matrix from vectors as individual rows.",examples:["matrixFromRows([1, 2, 3], [[4],[5],[6]])"],seealso:["matrix","matrixFromColumns","matrixFromFunction","zeros"]};var eI={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","identity","inv","range","size","squeeze","subset","trace","transpose","zeros"]};var tI={name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1, compareText)',"arr = [5, 2, 1]","partitionSelect(arr, 0) # returns 1, arr is now: [1, 2, 5]","arr","partitionSelect(arr, 1, 'desc') # returns 2, arr is now: [5, 2, 1]","arr"],seealso:["sort"]};var rI={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"range(1m, 1m, 3m)","a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","identity","inv","ones","size","squeeze","subset","trace","transpose","zeros"]};var nI={name:"reshape",category:"Matrix",syntax:["reshape(x, sizes)"],description:"Reshape a multi dimensional array to fit the specified dimensions.",examples:["reshape([1, 2, 3, 4, 5, 6], [2, 3])","reshape([[1, 2], [3, 4]], [1, 4])","reshape([[1, 2], [3, 4]], [4])","reshape([1, 2, 3, 4], [-1, 2])"],seealso:["size","squeeze","resize"]};var iI={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze","reshape"]};var aI={name:"rotate",category:"Matrix",syntax:["rotate(w, theta)","rotate(w, theta, v)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotate([1, 0], pi / 2)",'rotate(matrix([1, 0]), unit("35deg"))','rotate([1, 0, 0], unit("90deg"), [0, 0, 1])','rotate(matrix([1, 0, 0]), unit("90deg"), matrix([0, 0, 1]))'],seealso:["matrix","rotationMatrix"]};var oI={name:"rotationMatrix",category:"Matrix",syntax:["rotationMatrix(theta)","rotationMatrix(theta, v)","rotationMatrix(theta, v, format)"],description:"Returns a 2-D rotation matrix (2x2) for a given angle (in radians). Returns a 2-D rotation matrix (3x3) of a given angle (in radians) around given axis.",examples:["rotationMatrix(pi / 2)",'rotationMatrix(unit("45deg"), [0, 0, 1])','rotationMatrix(1, matrix([0, 0, 1]), "sparse")'],seealso:["cos","sin"]};var sI={name:"row",category:"Matrix",syntax:["row(x, index)"],description:"Return a row from a matrix or array.",examples:["A = [[1, 2], [3, 4]]","row(A, 1)","row(A, 2)"],seealso:["column","matrixFromRows"]};var uI={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","count","det","diag","identity","inv","ones","range","squeeze","subset","trace","transpose","zeros"]};var lI={name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc", "desc", "natural", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"], "natural")',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)','sort(["10", "1", "2"], "natural")'],seealso:["map","filter","forEach"]};var cI={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","identity","inv","ones","range","size","subset","trace","transpose","zeros"]};var fI={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of the entries of a matrix or characters of a string. Indexes are one-based. There should be one index specification for each dimension of the target. Each specification can be a single index, a list of indices, or a range in colon notation `l:u`. In a range, both the lower bound l and upper bound u are included; and if a bound is omitted it defaults to the most extreme valid value. The cartesian product of the indices specified in each dimension determines the target of the operation.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]","f[[1,2], [1,3]] = [9, 10; 11, 12]","f"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","trace","transpose","zeros"]};var pI={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","transpose","zeros"]};var mI={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","zeros"]};var dI={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","identity","inv","ones","range","size","squeeze","subset","trace","transpose"]};var hI={name:"fft",category:"Matrix",syntax:["fft(x)"],description:"Calculate N-dimensional fourier transform",examples:["fft([[1, 0], [1, 0]])"],seealso:["ifft"]};var gI={name:"ifft",category:"Matrix",syntax:["ifft(x)"],description:"Calculate N-dimensional inverse fourier transform",examples:["ifft([[2, 2], [0, 0]])"],seealso:["fft"]};var vI={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["combinationsWithRep","permutations","factorial"]};var yI={name:"combinationsWithRep",category:"Probability",syntax:["combinationsWithRep(n, k)"],description:"Compute the number of combinations of n items taken k at a time with replacements.",examples:["combinationsWithRep(7, 5)"],seealso:["combinations","permutations","factorial"]};var bI={name:"factorial",category:"Probability",syntax:["n!","factorial(n)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","combinationsWithRep","permutations","gamma"]};var xI={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]};var wI={name:"lgamma",category:"Probability",syntax:["lgamma(n)"],description:"Logarithm of the gamma function for real, positive numbers and complex numbers, using Lanczos approximation for numbers and Stirling series for complex numbers.",examples:["lgamma(4)","lgamma(1/2)","lgamma(i)","lgamma(complex(1.1, 2))"],seealso:["gamma"]};var _I={name:"kldivergence",category:"Probability",syntax:["kldivergence(x, y)"],description:"Calculate the Kullback-Leibler (KL) divergence  between two distributions.",examples:["kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]};var AI={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai > 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]};var DI={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","combinationsWithRep","factorial"]};var EI={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]};var SI={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]};var NI={name:"randomInt",category:"Probability",syntax:["randomInt(max)","randomInt(min, max)","randomInt(size)","randomInt(size, max)","randomInt(size, min, max)"],description:"Return a random integer number",examples:["randomInt(10, 20)","randomInt([2, 3], 10)"],seealso:["pickRandom","random"]};var CI={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compareNatural","compareText"]};var MI={name:"compareNatural",category:"Relational",syntax:["compareNatural(x, y)"],description:"Compare two values of any type in a deterministic, natural way. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:["compareNatural(2, 3)","compareNatural(3, 2)","compareNatural(2, 2)","compareNatural(5cm, 40mm)",'compareNatural("2", "10")',"compareNatural(2 + 3i, 2 + 4i)","compareNatural([1, 2, 4], [1, 2, 3])","compareNatural([1, 5], [1, 2, 3])","compareNatural([1, 2], [1, 2])","compareNatural({a: 2}, {a: 4})"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare","compareText"]};var TI={name:"compareText",category:"Relational",syntax:["compareText(x, y)"],description:"Compare two strings lexically. Comparison is case sensitive. Returns 1 when x > y, -1 when x < y, and 0 when x == y.",examples:['compareText("B", "A")','compareText("A", "B")','compareText("A", "A")','compareText("2", "10")','compare("2", "10")',"compare(2, 10)",'compareNatural("2", "10")','compareText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural"]};var FI={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["deepEqual([1,3,4], [1,3,4])","deepEqual([1,3,4], [1,3])"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]};var II={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual","equalText"]};var BI={name:"equalText",category:"Relational",syntax:["equalText(x, y)"],description:"Check equality of two strings. Comparison is case sensitive. Returns true if the values are equal, and false if not.",examples:['equalText("Hello", "Hello")','equalText("a", "A")','equal("2e3", "2000")','equalText("2e3", "2000")','equalText("B", ["A", "B", "C"])'],seealso:["compare","compareNatural","compareText","equal"]};var PI={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]};var OI={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 >= 1+1","2 > 1+1","a = 3.2","b = 6-2.8","(a >= b)"],seealso:["equal","unequal","smallerEq","smaller","compare"]};var RI={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]};var kI={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 <= 1+1","2 < 1+1","a = 3.2","b = 6-2.8","(a <= b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]};var LI={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]};var UI={name:"setCartesian",category:"Set",syntax:["setCartesian(set1, set2)"],description:"Create the cartesian product of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays and the values will be sorted in ascending order before the operation.",examples:["setCartesian([1, 2], [3, 4])"],seealso:["setUnion","setIntersect","setDifference","setPowerset"]};var VI={name:"setDifference",category:"Set",syntax:["setDifference(set1, set2)"],description:"Create the difference of two (multi)sets: every element of set1, that is not the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setDifference([1, 2, 3, 4], [3, 4, 5, 6])","setDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setSymDifference"]};var qI={name:"setDistinct",category:"Set",syntax:["setDistinct(set)"],description:"Collect the distinct elements of a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setDistinct([1, 1, 1, 2, 2, 3])"],seealso:["setMultiplicity"]};var zI={name:"setIntersect",category:"Set",syntax:["setIntersect(set1, set2)"],description:"Create the intersection of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIntersect([1, 2, 3, 4], [3, 4, 5, 6])","setIntersect([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setDifference"]};var $I={name:"setIsSubset",category:"Set",syntax:["setIsSubset(set1, set2)"],description:"Check whether a (multi)set is a subset of another (multi)set: every element of set1 is the element of set2. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setIsSubset([1, 2], [3, 4, 5, 6])","setIsSubset([3, 4], [3, 4, 5, 6])"],seealso:["setUnion","setIntersect","setDifference"]};var HI={name:"setMultiplicity",category:"Set",syntax:["setMultiplicity(element, set)"],description:"Count the multiplicity of an element in a multiset. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setMultiplicity(1, [1, 2, 2, 4])","setMultiplicity(2, [1, 2, 2, 4])"],seealso:["setDistinct","setSize"]};var GI={name:"setPowerset",category:"Set",syntax:["setPowerset(set)"],description:"Create the powerset of a (multi)set: the powerset contains very possible subsets of a (multi)set. A multi-dimension array will be converted to a single-dimension array before the operation.",examples:["setPowerset([1, 2, 3])"],seealso:["setCartesian"]};var WI={name:"setSize",category:"Set",syntax:["setSize(set)","setSize(set, unique)"],description:'Count the number of elements of a (multi)set. When the second parameter "unique" is true, count only the unique values. A multi-dimension array will be converted to a single-dimension array before the operation.',examples:["setSize([1, 2, 2, 4])","setSize([1, 2, 2, 4], true)"],seealso:["setUnion","setIntersect","setDifference"]};var jI={name:"setSymDifference",category:"Set",syntax:["setSymDifference(set1, set2)"],description:"Create the symmetric difference of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setSymDifference([1, 2, 3, 4], [3, 4, 5, 6])","setSymDifference([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setUnion","setIntersect","setDifference"]};var ZI={name:"setUnion",category:"Set",syntax:["setUnion(set1, set2)"],description:"Create the union of two (multi)sets. Multi-dimension arrays will be converted to single-dimension arrays before the operation.",examples:["setUnion([1, 2, 3, 4], [3, 4, 5, 6])","setUnion([[1, 2], [3, 4]], [[3, 4], [5, 6]])"],seealso:["setIntersect","setDifference"]};var JI={name:"zpk2tf",category:"Signal",syntax:["zpk2tf(z, p, k)"],description:"Compute the transfer function of a zero-pole-gain model.",examples:["zpk2tf([1, 2], [-1, -2], 1)","zpk2tf([1, 2], [-1, -2])","zpk2tf([1 - 3i, 2 + 2i], [-1, -2])"],seealso:[]};var YI={name:"freqz",category:"Signal",syntax:["freqz(b, a)","freqz(b, a, w)"],description:"Calculates the frequency response of a filter given its numerator and denominator coefficients.",examples:["freqz([1, 2], [1, 2, 3])","freqz([1, 2], [1, 2, 3], [0, 1])","freqz([1, 2], [1, 2, 3], 512)"],seealso:[]};var XI={name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]};var QI={name:"zeta",category:"Special",syntax:["zeta(s)"],description:"Compute the Riemann Zeta Function using an infinite series and Riemanns Functional Equation for the entire complex plane",examples:["zeta(0.2)","zeta(-0.5)","zeta(4)"],seealso:[]};var KI={name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])"],seealso:["mean","median","std","abs"]};var eB={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dimension)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","variance"]};var tB={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dimension)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","variance"]};var rB={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","variance","quantileSeq"]};var nB={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dimension)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","variance"]};var iB={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(2, 1, 4, 3, 1)","mode([1, 2.7, 3.2, 4, 2.7])","mode(1, 4, 6, 1, 6)"],seealso:["max","mean","min","median","prod","std","sum","variance"]};var aB={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","variance"]};var oB={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:`Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. 

In case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.`,examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]};var sB={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, dimension)","std(A, normalization)","std(A, dimension, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(variance(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","prod","sum","variance"]};var uB={name:"cumsum",category:"Statistics",syntax:["cumsum(a, b, c, ...)","cumsum(A)"],description:"Compute the cumulative sum of all values.",examples:["cumsum(2, 3, 4, 1)","cumsum([2, 3, 4, 1])","cumsum([1, 2; 3, 4])","cumsum([1, 2; 3, 4], 1)","cumsum([1, 2; 3, 4], 2)"],seealso:["max","mean","median","min","prod","std","sum","variance"]};var lB={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)","sum(A, dimension)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","variance"]};var cB={name:"variance",category:"Statistics",syntax:["variance(a, b, c, ...)","variance(A)","variance(A, dimension)","variance(A, normalization)","variance(A, dimension, normalization)"],description:'Compute the variance of all values. Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["variance(2, 4, 6)","variance([2, 4, 6, 8])",'variance([2, 4, 6, 8], "uncorrected")','variance([2, 4, 6, 8], "biased")',"variance([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","std","sum"]};var fB={name:"corr",category:"Statistics",syntax:["corr(A,B)"],description:"Compute the correlation coefficient of a two list with values, For matrices, the matrix correlation coefficient is calculated.",examples:["corr([2, 4, 6, 8],[1, 2, 3, 6])","corr(matrix([[1, 2.2, 3, 4.8, 5], [1, 2, 3, 4, 5]]), matrix([[4, 5.3, 6.6, 7, 8], [1, 2, 3, 4, 5]]))"],seealso:["max","mean","min","median","min","prod","std","sum"]};var pB={name:"acos",category:"Trigonometry",syntax:["acos(x)"],description:"Compute the inverse cosine of a value in radians.",examples:["acos(0.5)","acos(cos(2.3))"],seealso:["cos","atan","asin"]};var mB={name:"acosh",category:"Trigonometry",syntax:["acosh(x)"],description:"Calculate the hyperbolic arccos of a value, defined as `acosh(x) = ln(sqrt(x^2 - 1) + x)`.",examples:["acosh(1.5)"],seealso:["cosh","asinh","atanh"]};var dB={name:"acot",category:"Trigonometry",syntax:["acot(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acot(0.5)","acot(cot(0.5))","acot(2)"],seealso:["cot","atan"]};var hB={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(2)","acoth(0.5)"],seealso:["acsch","asech"]};var gB={name:"acsc",category:"Trigonometry",syntax:["acsc(x)"],description:"Calculate the inverse cotangent of a value.",examples:["acsc(2)","acsc(csc(0.5))","acsc(0.5)"],seealso:["csc","asin","asec"]};var vB={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]};var yB={name:"asec",category:"Trigonometry",syntax:["asec(x)"],description:"Calculate the inverse secant of a value.",examples:["asec(0.5)","asec(sec(0.5))","asec(2)"],seealso:["acos","acot","acsc"]};var bB={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]};var xB={name:"asin",category:"Trigonometry",syntax:["asin(x)"],description:"Compute the inverse sine of a value in radians.",examples:["asin(0.5)","asin(sin(0.5))"],seealso:["sin","acos","atan"]};var wB={name:"asinh",category:"Trigonometry",syntax:["asinh(x)"],description:"Calculate the hyperbolic arcsine of a value, defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.",examples:["asinh(0.5)"],seealso:["acosh","atanh"]};var _B={name:"atan",category:"Trigonometry",syntax:["atan(x)"],description:"Compute the inverse tangent of a value in radians.",examples:["atan(0.5)","atan(tan(0.5))"],seealso:["tan","acos","asin"]};var AB={name:"atan2",category:"Trigonometry",syntax:["atan2(y, x)"],description:"Computes the principal value of the arc tangent of y/x in radians.",examples:["atan2(2, 2) / pi","angle = 60 deg in rad","x = cos(angle)","y = sin(angle)","atan2(y, x)"],seealso:["sin","cos","tan"]};var DB={name:"atanh",category:"Trigonometry",syntax:["atanh(x)"],description:"Calculate the hyperbolic arctangent of a value, defined as `atanh(x) = ln((1 + x)/(1 - x)) / 2`.",examples:["atanh(0.5)"],seealso:["acosh","asinh"]};var EB={name:"cos",category:"Trigonometry",syntax:["cos(x)"],description:"Compute the cosine of x in radians.",examples:["cos(2)","cos(pi / 4) ^ 2","cos(180 deg)","cos(60 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["acos","sin","tan"]};var SB={name:"cosh",category:"Trigonometry",syntax:["cosh(x)"],description:"Compute the hyperbolic cosine of x in radians.",examples:["cosh(0.5)"],seealso:["sinh","tanh","coth"]};var NB={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. 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W=0;W<he;W++)for(var ee=0;ee<he;ee++)ue[W][ee]=h(ue[W][ee]);return"BigNumber"}if(re){for(var ne=0;ne<he;ne++)for(var ge=0;ge<he;ge++)ue[ne][ge]=x(ue[ne][ge]);return"number"}else throw TypeError("Matrix contains unsupported types only.")}});var lP="expm",VG=["typed","abs","add","identity","inv","multiply"],Zb=N(lP,VG,r=>{var{typed:e,abs:t,add:n,identity:i,inv:a,multiply:o}=r;return e(lP,{Matrix:function(f){var p=f.size();if(p.length!==2||p[0]!==p[1])throw new RangeError("Matrix must be square (size: "+at(p)+")");for(var m=p[0],h=1e-15,d=l(f),g=u(d,h),v=g.q,w=g.j,y=o(f,Math.pow(2,-w)),x=i(m),_=i(m),b=1,D=y,S=-1,A=1;A<=v;A++)A>1&&(D=o(D,y),S=-S),b=b*(v-A+1)/((2*v-A+1)*A),x=n(x,o(b,D)),_=n(_,o(b*S,D));for(var E=o(a(_),x),M=0;M<w;M++)E=o(E,E);return Mi(f)?f.createSparseMatrix(E):E}});function l(c){for(var f=c.size()[0],p=0,m=0;m<f;m++){for(var h=0,d=0;d<f;d++)h+=t(c.get([m,d]));p=Math.max(h,p)}return p}function u(c,f){for(var p=30,m=0;m<p;m++)for(var h=0;h<=m;h++){var d=m-h;if(s(c,h,d)<f)return{q:h,j:d}}throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)")}function s(c,f,p){for(var m=1,h=2;h<=f;h++)m*=h;for(var d=m,g=f+1;g<=2*f;g++)d*=g;var v=d*(2*f+1);return 8*Math.pow(c/Math.pow(2,p),2*f)*m*m/(d*v)}});var cP="sqrtm",qG=["typed","abs","add","multiply","map","sqrt","subtract","inv","size","max","identity"],Jb=N(cP,qG,r=>{var{typed:e,abs:t,add:n,multiply:i,map:a,sqrt:o,subtract:l,inv:u,size:s,max:c,identity:f}=r,p=1e3,m=1e-6;function h(d){var g,v=0,w=d,y=f(s(d));do{var x=w;if(w=i(.5,n(x,u(y))),y=i(.5,n(y,u(x))),g=c(t(l(w,x))),g>m&&++v>p)throw new Error("computing square root of matrix: iterative method could not converge")}while(g>m);return w}return e(cP,{"Array | Matrix":function(g){var v=Ge(g)?g.size():tt(g);switch(v.length){case 1:if(v[0]===1)return a(g,o);throw new RangeError("Matrix must be square (size: "+at(v)+")");case 2:{var w=v[0],y=v[1];if(w===y)return h(g);throw 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x=w.size()[0],_=v.size()[0],b=t(v),D=b.T,S=b.U,A=t(a(-1,w)),E=A.T,M=A.U,F=a(a(u(S),y),M),P=o(0,_),k=[],O=(de,Pe)=>l(de,Pe,1),I=(de,Pe)=>l(de,Pe,0),T=0;T<x;T++)if(T<x-1&&d(c(E,s(T+1,T)))>1e-5){for(var q=I(c(F,s(P,T)),c(F,s(P,T+1))),B=0;B<T;B++)q=f(q,I(a(k[B],c(E,s(B,T))),a(k[B],c(E,s(B,T+1)))));var U=a(m(_),a(-1,c(E,s(T,T)))),G=a(m(_),a(-1,c(E,s(T+1,T)))),H=a(m(_),a(-1,c(E,s(T,T+1)))),L=a(m(_),a(-1,c(E,s(T+1,T+1)))),ie=I(O(f(D,U),G),O(H,f(D,L))),ve=h(ie,q);k[T]=ve.subset(s(o(0,_),0)),k[T+1]=ve.subset(s(o(_,2*_),0)),T++}else{for(var se=c(F,s(P,T)),ue=0;ue<T;ue++)se=f(se,a(k[ue],c(E,s(ue,T))));var he=c(E,s(T,T)),K=p(D,a(he,m(_)));k[T]=h(K,se)}var re=i(n(...k)),me=a(S,a(re,u(M)));return me}});var pP="schur",$G=["typed","matrix","identity","multiply","qr","norm","subtract"],Xb=N(pP,$G,r=>{var{typed:e,matrix:t,identity:n,multiply:i,qr:a,norm:o,subtract:l}=r;return e(pP,{Array:function(c){var f=u(t(c));return{U:f.U.valueOf(),T:f.T.valueOf()}},Matrix:function(c){return u(c)}});function 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w([_.pointOneX,_.pointOneY],[b.pointTwoX,b.pointTwoY]);throw new TypeError("Key names do not match")}else if(Object.keys(_).length===3&&Object.keys(b).length===3){if(!f(_))throw new TypeError("Values of pointOneX, pointOneY and pointOneZ should be numbers or BigNumbers");if(!f(b))throw new TypeError("Values of pointTwoX, pointTwoY and pointTwoZ should be numbers or BigNumbers");if("pointOneX"in _&&"pointOneY"in _&&"pointOneZ"in _&&"pointTwoX"in b&&"pointTwoY"in b&&"pointTwoZ"in b)return w([_.pointOneX,_.pointOneY,_.pointOneZ],[b.pointTwoX,b.pointTwoY,b.pointTwoZ]);throw new TypeError("Key names do not match")}else throw new TypeError("Invalid Arguments: Try again")},Array:function(_){if(!d(_))throw new TypeError("Incorrect array format entered for pairwise distance calculation");return y(_)}});function s(x){return typeof x=="number"||rt(x)}function c(x){return x.constructor!==Array&&(x=h(x)),s(x[0])&&s(x[1])}function f(x){return 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numbers or BigNumbers expected for first argument");if(!x(M))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!_(F))throw new TypeError("Array with 4 numbers expected as third argument");return A(E[0],E[1],E[2],M[0],M[1],M[2],F[0],F[1],F[2],F[3])}function v(E,M,F,P){if(E=w(E),M=w(M),F=w(F),P=w(P),E.length===2){if(!y(E))throw new TypeError("Array with 2 numbers or BigNumbers expected for first argument");if(!y(M))throw new TypeError("Array with 2 numbers or BigNumbers expected for second argument");if(!y(F))throw new TypeError("Array with 2 numbers or BigNumbers expected for third argument");if(!y(P))throw new TypeError("Array with 2 numbers or BigNumbers expected for fourth argument");return b(E,M,F,P)}else if(E.length===3){if(!x(E))throw new TypeError("Array with 3 numbers or BigNumbers expected for first argument");if(!x(M))throw new TypeError("Array with 3 numbers or BigNumbers expected for second argument");if(!x(F))throw new TypeError("Array with 3 numbers or BigNumbers expected for third argument");if(!x(P))throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument");return S(E[0],E[1],E[2],M[0],M[1],M[2],F[0],F[1],F[2],P[0],P[1],P[2])}else throw new TypeError("Arrays with two or thee dimensional points expected")}function w(E){return E.length===1?E[0]:E.length>1&&Array.isArray(E[0])&&E.every(M=>Array.isArray(M)&&M.length===1)?m(E):E}function y(E){return E.length===2&&d(E[0])&&d(E[1])}function x(E){return E.length===3&&d(E[0])&&d(E[1])&&d(E[2])}function _(E){return E.length===4&&d(E[0])&&d(E[1])&&d(E[2])&&d(E[3])}function b(E,M,F,P){var k=E,O=F,I=c(k,M),T=c(O,P),q=c(u(I[0],T[1]),u(T[0],I[1]));if(h(q)||f(n(q),t.epsilon))return null;var B=u(T[0],k[1]),U=u(T[1],k[0]),G=u(T[0],O[1]),H=u(T[1],O[0]),L=s(a(c(c(B,U),G),H),q);return i(l(I,L),k)}function D(E,M,F,P,k,O,I,T,q,B,U,G){var H=u(c(E,M),c(F,P)),L=u(c(k,O),c(I,T)),ie=u(c(q,B),c(U,G));return a(a(H,L),ie)}function S(E,M,F,P,k,O,I,T,q,B,U,G){var H=D(E,I,B,I,M,T,U,T,F,q,G,q),L=D(B,I,P,E,U,T,k,M,G,q,O,F),ie=D(E,I,P,E,M,T,k,M,F,q,O,F),ve=D(B,I,B,I,U,T,U,T,G,q,G,q),se=D(P,E,P,E,k,M,k,M,O,F,O,F),ue=c(u(H,L),u(ie,ve)),he=c(u(se,ve),u(L,L));if(h(he))return null;var K=s(ue,he),re=s(a(H,u(K,L)),ve),me=a(E,u(K,c(P,E))),de=a(M,u(K,c(k,M))),Pe=a(F,u(K,c(O,F))),we=a(I,u(re,c(B,I))),V=a(T,u(re,c(U,T))),J=a(q,u(re,c(G,q)));return p(me,we)&&p(de,V)&&p(Pe,J)?[me,de,Pe]:null}function A(E,M,F,P,k,O,I,T,q,B){var U=u(E,I),G=u(P,I),H=u(M,T),L=u(k,T),ie=u(F,q),ve=u(O,q),se=c(c(c(B,U),H),ie),ue=c(c(c(a(a(G,L),ve),U),H),ie),he=s(se,ue),K=a(E,u(he,c(P,E))),re=a(M,u(he,c(k,M))),me=a(F,u(he,c(O,F)));return[K,re,me]}});var hP="sum",YG=["typed","config","add","numeric"],Nl=N(hP,YG,r=>{var{typed:e,config:t,add:n,numeric:i}=r;return e(hP,{"Array | Matrix":a,"Array | Matrix, number | BigNumber":o,"...":function(u){if(gi(u))throw new TypeError("Scalar values expected in function sum");return a(u)}});function a(l){var u;return yn(l,function(s){try{u=u===void 0?s:n(u,s)}catch(c){throw Ar(c,"sum",s)}}),u===void 0&&(u=i(0,t.number)),typeof u=="string"&&(u=i(u,t.number)),u}function o(l,u){try{var s=Ya(l,u,n);return s}catch(c){throw Ar(c,"sum")}}});var Vp="cumsum",XG=["typed","add","unaryPlus"],Cl=N(Vp,XG,r=>{var{typed:e,add:t,unaryPlus:n}=r;return e(Vp,{Array:i,Matrix:function(s){return s.create(i(s.valueOf()))},"Array, number | BigNumber":o,"Matrix, number | BigNumber":function(s,c){return s.create(o(s.valueOf(),c))},"...":function(s){if(gi(s))throw new TypeError("All values expected to be scalar in function cumsum");return i(s)}});function i(u){try{return a(u)}catch(s){throw Ar(s,Vp)}}function a(u){if(u.length===0)return[];for(var s=[n(u[0])],c=1;c<u.length;++c)s.push(t(s[c-1],u[c]));return s}function o(u,s){var c=tt(u);if(s<0||s>=c.length)throw new fn(s,c.length);try{return l(u,s)}catch(f){throw Ar(f,Vp)}}function l(u,s){var c,f,p;if(s<=0){var m=u[0][0];if(Array.isArray(m)){for(p=ep(u),f=[],c=0;c<p.length;c++)f[c]=l(p[c],s-1);return f}else return a(u)}else{for(f=[],c=0;c<u.length;c++)f[c]=l(u[c],s-1);return f}}});var gP="mean",QG=["typed","add","divide"],Ml=N(gP,QG,r=>{var{typed:e,add:t,divide:n}=r;return e(gP,{"Array | Matrix":a,"Array | Matrix, number | BigNumber":i,"...":function(l){if(gi(l))throw new TypeError("Scalar values expected in function mean");return a(l)}});function i(o,l){try{var u=Ya(o,l,t),s=Array.isArray(o)?tt(o):o.size();return n(u,s[l])}catch(c){throw Ar(c,"mean")}}function a(o){var l,u=0;if(yn(o,function(s){try{l=l===void 0?s:t(l,s),u++}catch(c){throw Ar(c,"mean",s)}}),u===0)throw new Error("Cannot calculate the mean of an empty array");return n(l,u)}});var vP="median",KG=["typed","add","divide","compare","partitionSelect"],rx=N(vP,KG,r=>{var{typed:e,add:t,divide:n,compare:i,partitionSelect:a}=r;function o(s){try{s=mt(s.valueOf());var c=s.length;if(c===0)throw new Error("Cannot calculate median of an empty array");if(c%2===0){for(var f=c/2-1,p=a(s,f+1),m=s[f],h=0;h<f;++h)i(s[h],m)>0&&(m=s[h]);return u(m,p)}else{var d=a(s,(c-1)/2);return l(d)}}catch(g){throw Ar(g,"median")}}var l=e({"number | BigNumber | Complex | Unit":function(c){return c}}),u=e({"number | BigNumber | Complex | Unit, number | BigNumber | Complex | Unit":function(c,f){return n(t(c,f),2)}});return e(vP,{"Array | Matrix":o,"Array | Matrix, number | BigNumber":function(c,f){throw new Error("median(A, dim) is not yet supported")},"...":function(c){if(gi(c))throw new TypeError("Scalar values expected in function median");return o(c)}})});var yP="mad",eW=["typed","abs","map","median","subtract"],nx=N(yP,eW,r=>{var{typed:e,abs:t,map:n,median:i,subtract:a}=r;return e(yP,{"Array | Matrix":o,"...":function(u){return o(u)}});function o(l){if(l=mt(l.valueOf()),l.length===0)throw new Error("Cannot calculate median absolute deviation (mad) of an empty array");try{var u=i(l);return i(n(l,function(s){return t(a(s,u))}))}catch(s){throw s instanceof TypeError&&s.message.indexOf("median")!==-1?new TypeError(s.message.replace("median","mad")):Ar(s,"mad")}}});var ix="unbiased",bP="variance",tW=["typed","add","subtract","multiply","divide","apply","isNaN"],Tl=N(bP,tW,r=>{var{typed:e,add:t,subtract:n,multiply:i,divide:a,apply:o,isNaN:l}=r;return e(bP,{"Array | Matrix":function(f){return u(f,ix)},"Array | Matrix, string":u,"Array | Matrix, number | BigNumber":function(f,p){return s(f,p,ix)},"Array | Matrix, number | BigNumber, string":s,"...":function(f){return u(f,ix)}});function u(c,f){var p,m=0;if(c.length===0)throw new SyntaxError("Function variance requires one or more parameters (0 provided)");if(yn(c,function(g){try{p=p===void 0?g:t(p,g),m++}catch(v){throw Ar(v,"variance",g)}}),m===0)throw new Error("Cannot calculate variance of an empty array");var h=a(p,m);if(p=void 0,yn(c,function(g){var v=n(g,h);p=p===void 0?i(v,v):t(p,i(v,v))}),l(p))return p;switch(f){case"uncorrected":return a(p,m);case"biased":return a(p,m+1);case"unbiased":{var d=rt(p)?p.mul(0):0;return m===1?d:a(p,m-1)}default:throw new Error('Unknown normalization "'+f+'". Choose "unbiased" (default), "uncorrected", or "biased".')}}function s(c,f,p){try{if(c.length===0)throw new SyntaxError("Function variance requires one or more parameters (0 provided)");return o(c,f,m=>u(m,p))}catch(m){throw Ar(m,"variance")}}});var xP="quantileSeq",rW=["typed","?bignumber","add","subtract","divide","multiply","partitionSelect","compare","isInteger","smaller","smallerEq","larger"],Fl=N(xP,rW,r=>{var{typed:e,bignumber:t,add:n,subtract:i,divide:a,multiply:o,partitionSelect:l,compare:u,isInteger:s,smaller:c,smallerEq:f,larger:p}=r,m=Vo({typed:e,isInteger:s});return e(xP,{"Array | Matrix, number | BigNumber":(w,y)=>d(w,y,!1),"Array | Matrix, number | BigNumber, number":(w,y,x)=>h(w,y,!1,x,d),"Array | Matrix, number | BigNumber, boolean":d,"Array | Matrix, number | BigNumber, boolean, number":(w,y,x,_)=>h(w,y,x,_,d),"Array | Matrix, Array | Matrix":(w,y)=>g(w,y,!1),"Array | Matrix, Array | Matrix, number":(w,y,x)=>h(w,y,!1,x,g),"Array | Matrix, Array | Matrix, boolean":g,"Array | Matrix, Array | Matrix, boolean, number":(w,y,x,_)=>h(w,y,x,_,g)});function h(w,y,x,_,b){return m(w,_,D=>b(D,y,x))}function d(w,y,x){var _,b=w.valueOf();if(c(y,0))throw new Error("N/prob must be non-negative");if(f(y,1))return it(y)?v(b,y,x):t(v(b,y,x));if(p(y,1)){if(!s(y))throw new Error("N must be a positive integer");if(p(y,4294967295))throw new Error("N must be less than or equal to 2^32-1, as that is the maximum length of an Array");var D=n(y,1);_=[];for(var S=0;c(S,y);S++){var A=a(S+1,D);_.push(v(b,A,x))}return it(y)?_:t(_)}}function g(w,y,x){for(var _=w.valueOf(),b=y.valueOf(),D=[],S=0;S<b.length;++S)D.push(v(_,b[S],x));return D}function v(w,y,x){var _=mt(w),b=_.length;if(b===0)throw new Error("Cannot calculate quantile of an empty sequence");var D=it(y)?y*(b-1):y.times(b-1),S=it(y)?Math.floor(D):D.floor().toNumber(),A=it(y)?D%1:D.minus(S);if(s(D))return x?_[D]:l(_,it(y)?D:D.valueOf());var E,M;if(x)E=_[S],M=_[S+1];else{M=l(_,S+1),E=_[S];for(var F=0;F<S;++F)u(_[F],E)>0&&(E=_[F])}return n(o(E,i(1,A)),o(M,A))}});var wP="std",nW=["typed","map","sqrt","variance"],Il=N(wP,nW,r=>{var{typed:e,map:t,sqrt:n,variance:i}=r;return e(wP,{"Array | Matrix":a,"Array | Matrix, string":a,"Array | Matrix, number | BigNumber":a,"Array | Matrix, number | BigNumber, string":a,"...":function(l){return a(l)}});function a(o,l){if(o.length===0)throw new SyntaxError("Function std requires one or more parameters (0 provided)");try{var u=i.apply(null,arguments);return Er(u)?t(u,n):n(u)}catch(s){throw s instanceof TypeError&&s.message.indexOf(" variance")!==-1?new TypeError(s.message.replace(" variance"," std")):s}}});var _P="corr",iW=["typed","matrix","mean","sqrt","sum","add","subtract","multiply","pow","divide"],ax=N(_P,iW,r=>{var{typed:e,matrix:t,sqrt:n,sum:i,add:a,subtract:o,multiply:l,pow:u,divide:s}=r;return e(_P,{"Array, Array":function(m,h){return c(m,h)},"Matrix, Matrix":function(m,h){var d=c(m.toArray(),h.toArray());return Array.isArray(d)?t(d):d}});function c(p,m){var h=[];if(Array.isArray(p[0])&&Array.isArray(m[0])){if(p.length!==m.length)throw new SyntaxError("Dimension mismatch. Array A and B must have the same length.");for(var d=0;d<p.length;d++){if(p[d].length!==m[d].length)throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");h.push(f(p[d],m[d]))}return h}else{if(p.length!==m.length)throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");return f(p,m)}}function f(p,m){var h=p.length,d=i(p),g=i(m),v=p.reduce((b,D,S)=>a(b,l(D,m[S])),0),w=i(p.map(b=>u(b,2))),y=i(m.map(b=>u(b,2))),x=o(l(h,v),l(d,g)),_=n(l(o(l(h,w),u(d,2)),o(l(h,y),u(g,2))));return s(x,_)}});var AP="combinations",aW=["typed"],ox=N(AP,aW,r=>{var{typed:e}=r;return e(AP,{"number, number":Ag,"BigNumber, BigNumber":function(n,i){var a=n.constructor,o,l,u=n.minus(i),s=new a(1);if(!DP(n)||!DP(i))throw new TypeError("Positive integer value expected in function combinations");if(i.gt(n))throw new TypeError("k must be less than n in function combinations");if(o=s,i.lt(u))for(l=s;l.lte(u);l=l.plus(s))o=o.times(i.plus(l)).dividedBy(l);else for(l=s;l.lte(i);l=l.plus(s))o=o.times(u.plus(l)).dividedBy(l);return o}})});function DP(r){return r.isInteger()&&r.gte(0)}var EP="combinationsWithRep",oW=["typed"],sx=N(EP,oW,r=>{var{typed:e}=r;return e(EP,{"number, number":function(n,i){if(!$e(n)||n<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(!$e(i)||i<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(n<1)throw new TypeError("k must be less than or equal to n + k - 1");if(i<n-1){var a=ni(n,n+i-1);return a/ni(1,i)}var o=ni(i+1,n+i-1);return o/ni(1,n-1)},"BigNumber, BigNumber":function(n,i){var a=n.constructor,o,l,u=new a(1),s=n.minus(u);if(!SP(n)||!SP(i))throw new TypeError("Positive integer value expected in function combinationsWithRep");if(n.lt(u))throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep");if(o=u,i.lt(s))for(l=u;l.lte(s);l=l.plus(u))o=o.times(i.plus(l)).dividedBy(l);else for(l=u;l.lte(i);l=l.plus(u))o=o.times(s.plus(l)).dividedBy(l);return o}})});function SP(r){return r.isInteger()&&r.gte(0)}var NP="gamma",sW=["typed","config","multiplyScalar","pow","BigNumber","Complex"],ux=N(NP,sW,r=>{var{typed:e,config:t,multiplyScalar:n,pow:i,BigNumber:a,Complex:o}=r;function l(s){if(s.im===0)return ol(s.re);if(s.re<.5){var c=new o(1-s.re,-s.im),f=new o(Math.PI*s.re,Math.PI*s.im);return new o(Math.PI).div(f.sin()).div(l(c))}s=new o(s.re-1,s.im);for(var p=new o(Uo[0],0),m=1;m<Uo.length;++m){var h=new o(Uo[m],0);p=p.add(h.div(s.add(m)))}var d=new o(s.re+Mg+.5,s.im),g=Math.sqrt(2*Math.PI),v=d.pow(s.add(.5)),w=d.neg().exp();return p.mul(g).mul(v).mul(w)}return e(NP,{number:ol,Complex:l,BigNumber:function(c){if(c.isInteger())return c.isNegative()||c.isZero()?new a(1/0):u(c.minus(1));if(!c.isFinite())return new a(c.isNegative()?NaN:1/0);throw new Error("Integer BigNumber expected")}});function u(s){if(s<8)return new a([1,1,2,6,24,120,720,5040][s]);var c=t.precision+(Math.log(s.toNumber())|0),f=a.clone({precision:c});if(s%2===1)return s.times(u(new a(s-1)));for(var p=s,m=new f(s),h=s.toNumber();p>2;)p-=2,h+=p,m=m.times(h);return new a(m.toPrecision(a.precision))}});var CP="lgamma",uW=["Complex","typed"],lx=N(CP,uW,r=>{var{Complex:e,typed:t}=r,n=7,i=7,a=[-.029550653594771242,.00641025641025641,-.0019175269175269176,.0008417508417508417,-.0005952380952380953,.0007936507936507937,-.002777777777777778,.08333333333333333];return t(CP,{number:sl,Complex:o,BigNumber:function(){throw new Error("mathjs doesn't yet provide an implementation of the algorithm lgamma for BigNumber")}});function o(s){var c=6.283185307179586,f=1.1447298858494002,p=.1;if(s.isNaN())return new e(NaN,NaN);if(s.im===0)return new e(sl(s.re),0);if(s.re>=n||Math.abs(s.im)>=i)return l(s);if(s.re<=p){var m=sS(c,s.im)*Math.floor(.5*s.re+.25),h=s.mul(Math.PI).sin().log(),d=o(new e(1-s.re,-s.im));return new e(f,m).sub(h).sub(d)}else return s.im>=0?u(s):u(s.conjugate()).conjugate()}function l(s){for(var c=s.sub(.5).mul(s.log()).sub(s).add(Tg),f=new e(1,0).div(s),p=f.div(s),m=a[0],h=a[1],d=2*p.re,g=p.re*p.re+p.im*p.im,v=2;v<8;v++){var w=h;h=-g*m+a[v],m=d*m+w}var y=f.mul(p.mul(m).add(h));return c.add(y)}function u(s){var c=0,f=0,p=s;for(s=s.add(1);s.re<=n;){p=p.mul(s);var m=p.im<0?1:0;m!==0&&f===0&&c++,f=m,s=s.add(1)}return l(s).sub(p.log()).sub(new e(0,c*2*Math.PI*1))}});var MP="factorial",lW=["typed","gamma"],cx=N(MP,lW,r=>{var{typed:e,gamma:t}=r;return e(MP,{number:function(i){if(i<0)throw new Error("Value must be non-negative");return t(i+1)},BigNumber:function(i){if(i.isNegative())throw new Error("Value must be non-negative");return t(i.plus(1))},"Array | Matrix":e.referToSelf(n=>i=>Je(i,n))})});var TP="kldivergence",cW=["typed","matrix","divide","sum","multiply","map","dotDivide","log","isNumeric"],fx=N(TP,cW,r=>{var{typed:e,matrix:t,divide:n,sum:i,multiply:a,map:o,dotDivide:l,log:u,isNumeric:s}=r;return e(TP,{"Array, Array":function(p,m){return c(t(p),t(m))},"Matrix, Array":function(p,m){return c(p,t(m))},"Array, Matrix":function(p,m){return c(t(p),m)},"Matrix, Matrix":function(p,m){return c(p,m)}});function c(f,p){var m=p.size().length,h=f.size().length;if(m>1)throw new Error("first object must be one dimensional");if(h>1)throw new Error("second object must be one dimensional");if(m!==h)throw new Error("Length of two vectors must be equal");var d=i(f);if(d===0)throw new Error("Sum of elements in first object must be non zero");var g=i(p);if(g===0)throw new Error("Sum of elements in second object must be non zero");var v=n(f,i(f)),w=n(p,i(p)),y=i(a(v,o(l(v,w),x=>u(x))));return s(y)?y:Number.NaN}});var FP="multinomial",fW=["typed","add","divide","multiply","factorial","isInteger","isPositive"],px=N(FP,fW,r=>{var{typed:e,add:t,divide:n,multiply:i,factorial:a,isInteger:o,isPositive:l}=r;return e(FP,{"Array | Matrix":function(s){var c=0,f=1;return yn(s,function(p){if(!o(p)||!l(p))throw new TypeError("Positive integer value expected in function multinomial");c=t(c,p),f=i(f,a(p))}),n(a(c),f)}})});var IP="permutations",pW=["typed","factorial"],mx=N(IP,pW,r=>{var{typed:e,factorial:t}=r;return e(IP,{"number | BigNumber":t,"number, number":function(i,a){if(!$e(i)||i<0)throw new TypeError("Positive integer value expected in function permutations");if(!$e(a)||a<0)throw new TypeError("Positive integer value expected in function permutations");if(a>i)throw new TypeError("second argument k must be less than or equal to first argument n");return ni(i-a+1,i)},"BigNumber, BigNumber":function(i,a){var o,l;if(!BP(i)||!BP(a))throw new TypeError("Positive integer value expected in function permutations");if(a.gt(i))throw new TypeError("second argument k must be less than or equal to first argument n");var u=i.mul(0).add(1);for(o=u,l=i.minus(a).plus(1);l.lte(i);l=l.plus(1))o=o.times(l);return o}})});function BP(r){return r.isInteger()&&r.gte(0)}var xx=ur(JP(),1),bW=(0,xx.default)(Date.now());function xa(r){var e;function t(i){e=i===null?bW:(0,xx.default)(String(i))}t(r);function n(){return 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c("*","multiply",[x,new s("tanh",[b.clone()])]);break;case"csch":A=!0,E=new c("*","multiply",[x,new s("coth",[b.clone()])]);break;case"coth":A=!0,E=new c("^","pow",[new s("csch",[b.clone()]),w(2)]);break;case"asinh":S=!0,E=new s("sqrt",[new c("+","add",[new c("^","pow",[b.clone(),w(2)]),w(1)])]);break;case"acosh":S=!0,E=new s("sqrt",[new c("-","subtract",[new c("^","pow",[b.clone(),w(2)]),w(1)])]);break;case"atanh":S=!0,E=new c("-","subtract",[w(1),new c("^","pow",[b.clone(),w(2)])]);break;case"asech":S=!0,A=!0,E=new c("*","multiply",[b.clone(),new s("sqrt",[new c("-","subtract",[w(1),new c("^","pow",[b.clone(),w(2)])])])]);break;case"acsch":S=!0,A=!0,E=new c("*","multiply",[new s("abs",[b.clone()]),new s("sqrt",[new c("+","add",[new c("^","pow",[b.clone(),w(2)]),w(1)])])]);break;case"acoth":S=!0,A=!0,E=new c("-","subtract",[w(1),new c("^","pow",[b.clone(),w(2)])]);break;case"abs":E=new c("/","divide",[new s(new p("abs"),[b.clone()]),b.clone()]);break;case"gamma":default:throw new Error('Cannot process function "'+x.name+'" in derivative: the function is not supported, undefined, or the number of arguments passed to it are not supported')}var M,F;S?(M="/",F="divide"):(M="*",F="multiply");var P=v(b,_);return A&&(P=new c("-","unaryMinus",[P])),new c(M,F,[P,E])},"OperatorNode, Object":function(x,_){if(_[x]!==void 0)return w(0);if(x.op==="+")return new c(x.op,x.fn,x.args.map(function(O){return v(O,_)}));if(x.op==="-"){if(x.isUnary())return new c(x.op,x.fn,[v(x.args[0],_)]);if(x.isBinary())return new c(x.op,x.fn,[v(x.args[0],_),v(x.args[1],_)])}if(x.op==="*"){var b=x.args.filter(function(O){return _[O]!==void 0});if(b.length>0){var D=x.args.filter(function(O){return _[O]===void 0}),S=D.length===1?D[0]:new c("*","multiply",D),A=b.concat(v(S,_));return new c("*","multiply",A)}return new c("+","add",x.args.map(function(O){return new c("*","multiply",x.args.map(function(I){return I===O?v(I,_):I.clone()}))}))}if(x.op==="/"&&x.isBinary()){var E=x.args[0],M=x.args[1];return _[M]!==void 0?new c("/","divide",[v(E,_),M]):_[E]!==void 0?new c("*","multiply",[new c("-","unaryMinus",[E]),new c("/","divide",[v(M,_),new c("^","pow",[M.clone(),w(2)])])]):new c("/","divide",[new c("-","subtract",[new c("*","multiply",[v(E,_),M.clone()]),new c("*","multiply",[E.clone(),v(M,_)])]),new c("^","pow",[M.clone(),w(2)])])}if(x.op==="^"&&x.isBinary()){var F=x.args[0],P=x.args[1];if(_[F]!==void 0)return wt(F)&&(o(F.value)||a(F.value,1))?w(0):new c("*","multiply",[x,new c("*","multiply",[new s("log",[F.clone()]),v(P.clone(),_)])]);if(_[P]!==void 0){if(wt(P)){if(o(P.value))return w(0);if(a(P.value,1))return v(F,_)}var k=new c("^","pow",[F.clone(),new c("-","subtract",[P,w(1)])]);return new c("*","multiply",[P.clone(),new c("*","multiply",[v(F,_),k])])}return new c("*","multiply",[new c("^","pow",[F.clone(),P.clone()]),new c("+","add",[new c("*","multiply",[v(F,_),new c("/","divide",[P.clone(),F.clone()])]),new c("*","multiply",[v(P,_),new s("log",[F.clone()])])])])}throw new Error('Cannot process operator "'+x.op+'" in derivative: the operator is not supported, undefined, or the number of arguments passed to it are not supported')}});function w(y,x){return new u(l(y,x||t.number))}return h});var uO="rationalize",UW=["config","typed","equal","isZero","add","subtract","multiply","divide","pow","parse","simplifyConstant","simplifyCore","simplify","?bignumber","?fraction","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode","ParenthesisNode"],kx=N(uO,UW,r=>{var{config:e,typed:t,equal:n,isZero:i,add:a,subtract:o,multiply:l,divide:u,pow:s,parse:c,simplifyConstant:f,simplifyCore:p,simplify:m,fraction:h,bignumber:d,mathWithTransform:g,matrix:v,AccessorNode:w,ArrayNode:y,ConstantNode:x,FunctionNode:_,IndexNode:b,ObjectNode:D,OperatorNode:S,SymbolNode:A,ParenthesisNode:E}=r;function M(I){var T=arguments.length>1&&arguments[1]!==void 0?arguments[1]:{},q=arguments.length>2&&arguments[2]!==void 0?arguments[2]:!1,B=P(),U=F(I,T,!0,B.firstRules),G=U.variables.length,H={exactFractions:!1},L={exactFractions:!0};if(I=U.expression,G>=1){I=k(I);var ie,ve,se=!0,ue=!1;I=m(I,B.firstRules,{},H);for(var he;ve=se?B.distrDivRules:B.sucDivRules,I=m(I,ve,{},L),se=!se,he=I.toString(),he!==ie;)ue=!0,ie=he;ue&&(I=m(I,B.firstRulesAgain,{},H)),I=m(I,B.finalRules,{},H)}var K=[],re={};return I.type==="OperatorNode"&&I.isBinary()&&I.op==="/"?(G===1&&(I.args[0]=O(I.args[0],K),I.args[1]=O(I.args[1])),q&&(re.numerator=I.args[0],re.denominator=I.args[1])):(G===1&&(I=O(I,K)),q&&(re.numerator=I,re.denominator=null)),q?(re.coefficients=K,re.variables=U.variables,re.expression=I,re):I}return t(uO,{Node:M,"Node, boolean":(I,T)=>M(I,{},T),"Node, Object":M,"Node, Object, boolean":M});function F(I,T,q,B){var U=[],G=m(I,B,T,{exactFractions:!1});q=!!q;var H="+-*"+(q?"/":"");ie(G);var L={};return L.expression=G,L.variables=U,L;function ie(ve){var se=ve.type;if(se==="FunctionNode")throw new Error("There is an unsolved function call");if(se==="OperatorNode")if(ve.op==="^"){if(ve.args[1].type!=="ConstantNode"||!$e(parseFloat(ve.args[1].value)))throw new Error("There is a non-integer exponent");ie(ve.args[0])}else{if(H.indexOf(ve.op)===-1)throw new Error("Operator "+ve.op+" invalid in polynomial expression");for(var ue=0;ue<ve.args.length;ue++)ie(ve.args[ue])}else if(se==="SymbolNode"){var he=ve.name,K=U.indexOf(he);K===-1&&U.push(he)}else if(se==="ParenthesisNode")ie(ve.content);else if(se!=="ConstantNode")throw new Error("type "+se+" is not allowed in polynomial expression")}}function P(){var I=[p,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},f,{l:"n*(n1^-1)",r:"n/n1"},{l:"n*n1^-n2",r:"n/n1^n2"},{l:"n1^-1",r:"1/n1"},{l:"n*(n1/n2)",r:"(n*n1)/n2"},{l:"1*n",r:"n"}],T=[{l:"(-n1)/(-n2)",r:"n1/n2"},{l:"(-n1)*(-n2)",r:"n1*n2"},{l:"n1--n2",r:"n1+n2"},{l:"n1-n2",r:"n1+(-n2)"},{l:"(n1+n2)*n3",r:"(n1*n3 + 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U.firstRules=I.concat(T,B),U.distrDivRules=q,U.sucDivRules=B,U.firstRulesAgain=I.concat(T),U.finalRules=[p,{l:"n*-n",r:"-n^2"},{l:"n*n",r:"n^2"},f,{l:"n*-n^n1",r:"-n^(n1+1)"},{l:"n*n^n1",r:"n^(n1+1)"},{l:"n^n1*-n^n2",r:"-n^(n1+n2)"},{l:"n^n1*n^n2",r:"n^(n1+n2)"},{l:"n^n1*-n",r:"-n^(n1+1)"},{l:"n^n1*n",r:"n^(n1+1)"},{l:"n^n1/-n",r:"-n^(n1-1)"},{l:"n^n1/n",r:"n^(n1-1)"},{l:"n/-n^n1",r:"-n^(1-n1)"},{l:"n/n^n1",r:"n^(1-n1)"},{l:"n^n1/-n^n2",r:"n^(n1-n2)"},{l:"n^n1/n^n2",r:"n^(n1-n2)"},{l:"n1+(-n2*n3)",r:"n1-n2*n3"},{l:"v*(-c)",r:"-c*v"},{l:"n1+-n2",r:"n1-n2"},{l:"v*c",r:"c*v"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"}],U}function k(I,T,q){var B=I.type,U=arguments.length>1;if(B==="OperatorNode"&&I.isBinary()){var G=!1,H;if(I.op==="^"&&(I.args[0].type==="ParenthesisNode"||I.args[0].type==="OperatorNode")&&I.args[1].type==="ConstantNode"&&(H=parseFloat(I.args[1].value),G=H>=2&&$e(H)),G){if(H>2){var L=I.args[0],ie=new S("^","pow",[I.args[0].cloneDeep(),new x(H-1)]);I=new S("*","multiply",[L,ie])}else I=new S("*","multiply",[I.args[0],I.args[0].cloneDeep()]);U&&(q==="content"?T.content=I:T.args[q]=I)}}if(B==="ParenthesisNode")k(I.content,I,"content");else if(B!=="ConstantNode"&&B!=="SymbolNode")for(var ve=0;ve<I.args.length;ve++)k(I.args[ve],I,ve);if(!U)return I}function O(I,T){T===void 0&&(T=[]),T[0]=0;var q={};q.cte=1,q.oper="+",q.fire="";var B=0,U="";he(I,null,q),B=T.length-1;for(var G=!0,H,L=B;L>=0;L--)if(T[L]!==0){var ie=new x(G?T[L]:Math.abs(T[L])),ve=T[L]<0?"-":"+";if(L>0){var se=new A(U);if(L>1){var ue=new x(L);se=new S("^","pow",[se,ue])}T[L]===-1&&G?ie=new S("-","unaryMinus",[se]):Math.abs(T[L])===1?ie=se:ie=new S("*","multiply",[ie,se])}G?H=ie:ve==="+"?H=new S("+","add",[H,ie]):H=new S("-","subtract",[H,ie]),G=!1}if(G)return new x(0);return H;function he(K,re,me){var de=K.type;if(de==="FunctionNode")throw new Error("There is an unsolved function call");if(de==="OperatorNode"){if("+-*^".indexOf(K.op)===-1)throw new Error("Operator "+K.op+" 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this.safeParseAsync(e,t);if(n.success)return n.data;throw n.error}async safeParseAsync(e,t){let n={common:{issues:[],contextualErrorMap:t==null?void 0:t.errorMap,async:!0},path:(t==null?void 0:t.path)||[],schemaErrorMap:this._def.errorMap,parent:null,data:e,parsedType:co(e)},i=this._parse({data:e,path:n.path,parent:n}),a=await(wm(i)?i:Promise.resolve(i));return Jk(n,a)}refine(e,t){let n=i=>typeof t=="string"||typeof t=="undefined"?{message:t}:typeof t=="function"?t(i):t;return this._refinement((i,a)=>{let o=e(i),l=()=>a.addIssue({code:He.custom,...n(i)});return typeof Promise!="undefined"&&o instanceof Promise?o.then(u=>u?!0:(l(),!1)):o?!0:(l(),!1)})}refinement(e,t){return this._refinement((n,i)=>e(n)?!0:(i.addIssue(typeof t=="function"?t(n,i):t),!1))}_refinement(e){return new li({schema:this,typeName:bt.ZodEffects,effect:{type:"refinement",refinement:e}})}superRefine(e){return this._refinement(e)}optional(){return Ui.create(this,this._def)}nullable(){return Sa.create(this,this._def)}nullish(){return this.nullable().optional()}array(){return Ea.create(this,this._def)}promise(){return mo.create(this,this._def)}or(e){return ts.create([this,e],this._def)}and(e){return rs.create(this,e,this._def)}transform(e){return new li({...Bt(this._def),schema:this,typeName:bt.ZodEffects,effect:{type:"transform",transform:e}})}default(e){let t=typeof e=="function"?e:()=>e;return new ss({...Bt(this._def),innerType:this,defaultValue:t,typeName:bt.ZodDefault})}brand(){return new Em({typeName:bt.ZodBranded,type:this,...Bt(this._def)})}catch(e){let t=typeof e=="function"?e:()=>e;return new wu({...Bt(this._def),innerType:this,catchValue:t,typeName:bt.ZodCatch})}describe(e){let t=this.constructor;return new t({...this._def,description:e})}pipe(e){return Gl.create(this,e)}readonly(){return Au.create(this)}isOptional(){return this.safeParse(void 0).success}isNullable(){return 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RegExp(`^\\d{4}-\\d{2}-\\d{2}T\\d{2}:\\d{2}:\\d{2}\\.\\d{${r.precision}}Z$`):r.precision===0?r.offset?new RegExp("^\\d{4}-\\d{2}-\\d{2}T\\d{2}:\\d{2}:\\d{2}(([+-]\\d{2}(:?\\d{2})?)|Z)$"):new RegExp("^\\d{4}-\\d{2}-\\d{2}T\\d{2}:\\d{2}:\\d{2}Z$"):r.offset?new RegExp("^\\d{4}-\\d{2}-\\d{2}T\\d{2}:\\d{2}:\\d{2}(\\.\\d+)?(([+-]\\d{2}(:?\\d{2})?)|Z)$"):new RegExp("^\\d{4}-\\d{2}-\\d{2}T\\d{2}:\\d{2}:\\d{2}(\\.\\d+)?Z$");function cZ(r,e){return!!((e==="v4"||!e)&&sZ.test(r)||(e==="v6"||!e)&&uZ.test(r))}var fo=class r extends Pt{_parse(e){if(this._def.coerce&&(e.data=String(e.data)),this._getType(e)!==Xe.string){let a=this._getOrReturnCtx(e);return Ke(a,{code:He.invalid_type,expected:Xe.string,received:a.parsedType}),Ft}let n=new En,i;for(let a of this._def.checks)if(a.kind==="min")e.data.length<a.value&&(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.too_small,minimum:a.value,type:"string",inclusive:!0,exact:!1,message:a.message}),n.dirty());else if(a.kind==="max")e.data.length>a.value&&(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.too_big,maximum:a.value,type:"string",inclusive:!0,exact:!1,message:a.message}),n.dirty());else if(a.kind==="length"){let o=e.data.length>a.value,l=e.data.length<a.value;(o||l)&&(i=this._getOrReturnCtx(e,i),o?Ke(i,{code:He.too_big,maximum:a.value,type:"string",inclusive:!0,exact:!0,message:a.message}):l&&Ke(i,{code:He.too_small,minimum:a.value,type:"string",inclusive:!0,exact:!0,message:a.message}),n.dirty())}else if(a.kind==="email")aZ.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"email",code:He.invalid_string,message:a.message}),n.dirty());else if(a.kind==="emoji")b_||(b_=new RegExp(oZ,"u")),b_.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"emoji",code:He.invalid_string,message:a.message}),n.dirty());else if(a.kind==="uuid")iZ.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"uuid",code:He.invalid_string,message:a.message}),n.dirty());else if(a.kind==="cuid")tZ.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"cuid",code:He.invalid_string,message:a.message}),n.dirty());else if(a.kind==="cuid2")rZ.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"cuid2",code:He.invalid_string,message:a.message}),n.dirty());else if(a.kind==="ulid")nZ.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"ulid",code:He.invalid_string,message:a.message}),n.dirty());else if(a.kind==="url")try{new URL(e.data)}catch(o){i=this._getOrReturnCtx(e,i),Ke(i,{validation:"url",code:He.invalid_string,message:a.message}),n.dirty()}else a.kind==="regex"?(a.regex.lastIndex=0,a.regex.test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"regex",code:He.invalid_string,message:a.message}),n.dirty())):a.kind==="trim"?e.data=e.data.trim():a.kind==="includes"?e.data.includes(a.value,a.position)||(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.invalid_string,validation:{includes:a.value,position:a.position},message:a.message}),n.dirty()):a.kind==="toLowerCase"?e.data=e.data.toLowerCase():a.kind==="toUpperCase"?e.data=e.data.toUpperCase():a.kind==="startsWith"?e.data.startsWith(a.value)||(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.invalid_string,validation:{startsWith:a.value},message:a.message}),n.dirty()):a.kind==="endsWith"?e.data.endsWith(a.value)||(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.invalid_string,validation:{endsWith:a.value},message:a.message}),n.dirty()):a.kind==="datetime"?lZ(a).test(e.data)||(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.invalid_string,validation:"datetime",message:a.message}),n.dirty()):a.kind==="ip"?cZ(e.data,a.version)||(i=this._getOrReturnCtx(e,i),Ke(i,{validation:"ip",code:He.invalid_string,message:a.message}),n.dirty()):Yt.assertNever(a);return{status:n.value,value:e.data}}_regex(e,t,n){return this.refinement(i=>e.test(i),{validation:t,code:He.invalid_string,...pt.errToObj(n)})}_addCheck(e){return new r({...this._def,checks:[...this._def.checks,e]})}email(e){return this._addCheck({kind:"email",...pt.errToObj(e)})}url(e){return this._addCheck({kind:"url",...pt.errToObj(e)})}emoji(e){return this._addCheck({kind:"emoji",...pt.errToObj(e)})}uuid(e){return this._addCheck({kind:"uuid",...pt.errToObj(e)})}cuid(e){return this._addCheck({kind:"cuid",...pt.errToObj(e)})}cuid2(e){return this._addCheck({kind:"cuid2",...pt.errToObj(e)})}ulid(e){return this._addCheck({kind:"ulid",...pt.errToObj(e)})}ip(e){return this._addCheck({kind:"ip",...pt.errToObj(e)})}datetime(e){var t;return typeof e=="string"?this._addCheck({kind:"datetime",precision:null,offset:!1,message:e}):this._addCheck({kind:"datetime",precision:typeof(e==null?void 0:e.precision)=="undefined"?null:e==null?void 0:e.precision,offset:(t=e==null?void 0:e.offset)!==null&&t!==void 0?t:!1,...pt.errToObj(e==null?void 0:e.message)})}regex(e,t){return this._addCheck({kind:"regex",regex:e,...pt.errToObj(t)})}includes(e,t){return this._addCheck({kind:"includes",value:e,position:t==null?void 0:t.position,...pt.errToObj(t==null?void 0:t.message)})}startsWith(e,t){return this._addCheck({kind:"startsWith",value:e,...pt.errToObj(t)})}endsWith(e,t){return this._addCheck({kind:"endsWith",value:e,...pt.errToObj(t)})}min(e,t){return this._addCheck({kind:"min",value:e,...pt.errToObj(t)})}max(e,t){return this._addCheck({kind:"max",value:e,...pt.errToObj(t)})}length(e,t){return this._addCheck({kind:"length",value:e,...pt.errToObj(t)})}nonempty(e){return this.min(1,pt.errToObj(e))}trim(){return new r({...this._def,checks:[...this._def.checks,{kind:"trim"}]})}toLowerCase(){return new r({...this._def,checks:[...this._def.checks,{kind:"toLowerCase"}]})}toUpperCase(){return new r({...this._def,checks:[...this._def.checks,{kind:"toUpperCase"}]})}get isDatetime(){return!!this._def.checks.find(e=>e.kind==="datetime")}get isEmail(){return!!this._def.checks.find(e=>e.kind==="email")}get isURL(){return!!this._def.checks.find(e=>e.kind==="url")}get isEmoji(){return!!this._def.checks.find(e=>e.kind==="emoji")}get isUUID(){return!!this._def.checks.find(e=>e.kind==="uuid")}get isCUID(){return!!this._def.checks.find(e=>e.kind==="cuid")}get isCUID2(){return!!this._def.checks.find(e=>e.kind==="cuid2")}get isULID(){return!!this._def.checks.find(e=>e.kind==="ulid")}get isIP(){return!!this._def.checks.find(e=>e.kind==="ip")}get minLength(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e}get maxLength(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e}};fo.create=r=>{var e;return new fo({checks:[],typeName:bt.ZodString,coerce:(e=r==null?void 0:r.coerce)!==null&&e!==void 0?e:!1,...Bt(r)})};function fZ(r,e){let t=(r.toString().split(".")[1]||"").length,n=(e.toString().split(".")[1]||"").length,i=t>n?t:n,a=parseInt(r.toFixed(i).replace(".","")),o=parseInt(e.toFixed(i).replace(".",""));return a%o/Math.pow(10,i)}var Jo=class r extends Pt{constructor(){super(...arguments),this.min=this.gte,this.max=this.lte,this.step=this.multipleOf}_parse(e){if(this._def.coerce&&(e.data=Number(e.data)),this._getType(e)!==Xe.number){let a=this._getOrReturnCtx(e);return Ke(a,{code:He.invalid_type,expected:Xe.number,received:a.parsedType}),Ft}let n,i=new En;for(let a of this._def.checks)a.kind==="int"?Yt.isInteger(e.data)||(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.invalid_type,expected:"integer",received:"float",message:a.message}),i.dirty()):a.kind==="min"?(a.inclusive?e.data<a.value:e.data<=a.value)&&(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.too_small,minimum:a.value,type:"number",inclusive:a.inclusive,exact:!1,message:a.message}),i.dirty()):a.kind==="max"?(a.inclusive?e.data>a.value:e.data>=a.value)&&(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.too_big,maximum:a.value,type:"number",inclusive:a.inclusive,exact:!1,message:a.message}),i.dirty()):a.kind==="multipleOf"?fZ(e.data,a.value)!==0&&(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.not_multiple_of,multipleOf:a.value,message:a.message}),i.dirty()):a.kind==="finite"?Number.isFinite(e.data)||(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.not_finite,message:a.message}),i.dirty()):Yt.assertNever(a);return{status:i.value,value:e.data}}gte(e,t){return this.setLimit("min",e,!0,pt.toString(t))}gt(e,t){return this.setLimit("min",e,!1,pt.toString(t))}lte(e,t){return this.setLimit("max",e,!0,pt.toString(t))}lt(e,t){return this.setLimit("max",e,!1,pt.toString(t))}setLimit(e,t,n,i){return new r({...this._def,checks:[...this._def.checks,{kind:e,value:t,inclusive:n,message:pt.toString(i)}]})}_addCheck(e){return new r({...this._def,checks:[...this._def.checks,e]})}int(e){return this._addCheck({kind:"int",message:pt.toString(e)})}positive(e){return this._addCheck({kind:"min",value:0,inclusive:!1,message:pt.toString(e)})}negative(e){return this._addCheck({kind:"max",value:0,inclusive:!1,message:pt.toString(e)})}nonpositive(e){return this._addCheck({kind:"max",value:0,inclusive:!0,message:pt.toString(e)})}nonnegative(e){return this._addCheck({kind:"min",value:0,inclusive:!0,message:pt.toString(e)})}multipleOf(e,t){return this._addCheck({kind:"multipleOf",value:e,message:pt.toString(t)})}finite(e){return this._addCheck({kind:"finite",message:pt.toString(e)})}safe(e){return this._addCheck({kind:"min",inclusive:!0,value:Number.MIN_SAFE_INTEGER,message:pt.toString(e)})._addCheck({kind:"max",inclusive:!0,value:Number.MAX_SAFE_INTEGER,message:pt.toString(e)})}get minValue(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e}get maxValue(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e}get isInt(){return!!this._def.checks.find(e=>e.kind==="int"||e.kind==="multipleOf"&&Yt.isInteger(e.value))}get isFinite(){let e=null,t=null;for(let n of this._def.checks){if(n.kind==="finite"||n.kind==="int"||n.kind==="multipleOf")return!0;n.kind==="min"?(t===null||n.value>t)&&(t=n.value):n.kind==="max"&&(e===null||n.value<e)&&(e=n.value)}return Number.isFinite(t)&&Number.isFinite(e)}};Jo.create=r=>new Jo({checks:[],typeName:bt.ZodNumber,coerce:(r==null?void 0:r.coerce)||!1,...Bt(r)});var Yo=class r extends Pt{constructor(){super(...arguments),this.min=this.gte,this.max=this.lte}_parse(e){if(this._def.coerce&&(e.data=BigInt(e.data)),this._getType(e)!==Xe.bigint){let a=this._getOrReturnCtx(e);return Ke(a,{code:He.invalid_type,expected:Xe.bigint,received:a.parsedType}),Ft}let n,i=new En;for(let a of this._def.checks)a.kind==="min"?(a.inclusive?e.data<a.value:e.data<=a.value)&&(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.too_small,type:"bigint",minimum:a.value,inclusive:a.inclusive,message:a.message}),i.dirty()):a.kind==="max"?(a.inclusive?e.data>a.value:e.data>=a.value)&&(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.too_big,type:"bigint",maximum:a.value,inclusive:a.inclusive,message:a.message}),i.dirty()):a.kind==="multipleOf"?e.data%a.value!==BigInt(0)&&(n=this._getOrReturnCtx(e,n),Ke(n,{code:He.not_multiple_of,multipleOf:a.value,message:a.message}),i.dirty()):Yt.assertNever(a);return{status:i.value,value:e.data}}gte(e,t){return this.setLimit("min",e,!0,pt.toString(t))}gt(e,t){return this.setLimit("min",e,!1,pt.toString(t))}lte(e,t){return this.setLimit("max",e,!0,pt.toString(t))}lt(e,t){return this.setLimit("max",e,!1,pt.toString(t))}setLimit(e,t,n,i){return new r({...this._def,checks:[...this._def.checks,{kind:e,value:t,inclusive:n,message:pt.toString(i)}]})}_addCheck(e){return new r({...this._def,checks:[...this._def.checks,e]})}positive(e){return this._addCheck({kind:"min",value:BigInt(0),inclusive:!1,message:pt.toString(e)})}negative(e){return this._addCheck({kind:"max",value:BigInt(0),inclusive:!1,message:pt.toString(e)})}nonpositive(e){return this._addCheck({kind:"max",value:BigInt(0),inclusive:!0,message:pt.toString(e)})}nonnegative(e){return this._addCheck({kind:"min",value:BigInt(0),inclusive:!0,message:pt.toString(e)})}multipleOf(e,t){return this._addCheck({kind:"multipleOf",value:e,message:pt.toString(t)})}get minValue(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e}get maxValue(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e}};Yo.create=r=>{var e;return new Yo({checks:[],typeName:bt.ZodBigInt,coerce:(e=r==null?void 0:r.coerce)!==null&&e!==void 0?e:!1,...Bt(r)})};var Xo=class extends Pt{_parse(e){if(this._def.coerce&&(e.data=!!e.data),this._getType(e)!==Xe.boolean){let n=this._getOrReturnCtx(e);return Ke(n,{code:He.invalid_type,expected:Xe.boolean,received:n.parsedType}),Ft}return Fn(e.data)}};Xo.create=r=>new Xo({typeName:bt.ZodBoolean,coerce:(r==null?void 0:r.coerce)||!1,...Bt(r)});var Qo=class r extends Pt{_parse(e){if(this._def.coerce&&(e.data=new Date(e.data)),this._getType(e)!==Xe.date){let a=this._getOrReturnCtx(e);return Ke(a,{code:He.invalid_type,expected:Xe.date,received:a.parsedType}),Ft}if(isNaN(e.data.getTime())){let a=this._getOrReturnCtx(e);return Ke(a,{code:He.invalid_date}),Ft}let n=new En,i;for(let a of this._def.checks)a.kind==="min"?e.data.getTime()<a.value&&(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.too_small,message:a.message,inclusive:!0,exact:!1,minimum:a.value,type:"date"}),n.dirty()):a.kind==="max"?e.data.getTime()>a.value&&(i=this._getOrReturnCtx(e,i),Ke(i,{code:He.too_big,message:a.message,inclusive:!0,exact:!1,maximum:a.value,type:"date"}),n.dirty()):Yt.assertNever(a);return{status:n.value,value:new Date(e.data.getTime())}}_addCheck(e){return new r({...this._def,checks:[...this._def.checks,e]})}min(e,t){return this._addCheck({kind:"min",value:e.getTime(),message:pt.toString(t)})}max(e,t){return this._addCheck({kind:"max",value:e.getTime(),message:pt.toString(t)})}get minDate(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e!=null?new Date(e):null}get maxDate(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e!=null?new Date(e):null}};Qo.create=r=>new Qo({checks:[],coerce:(r==null?void 0:r.coerce)||!1,typeName:bt.ZodDate,...Bt(r)});var vu=class extends Pt{_parse(e){if(this._getType(e)!==Xe.symbol){let n=this._getOrReturnCtx(e);return Ke(n,{code:He.invalid_type,expected:Xe.symbol,received:n.parsedType}),Ft}return Fn(e.data)}};vu.create=r=>new vu({typeName:bt.ZodSymbol,...Bt(r)});var Ko=class extends Pt{_parse(e){if(this._getType(e)!==Xe.undefined){let n=this._getOrReturnCtx(e);return Ke(n,{code:He.invalid_type,expected:Xe.undefined,received:n.parsedType}),Ft}return Fn(e.data)}};Ko.create=r=>new Ko({typeName:bt.ZodUndefined,...Bt(r)});var es=class extends Pt{_parse(e){if(this._getType(e)!==Xe.null){let n=this._getOrReturnCtx(e);return Ke(n,{code:He.invalid_type,expected:Xe.null,received:n.parsedType}),Ft}return Fn(e.data)}};es.create=r=>new es({typeName:bt.ZodNull,...Bt(r)});var po=class extends Pt{constructor(){super(...arguments),this._any=!0}_parse(e){return Fn(e.data)}};po.create=r=>new po({typeName:bt.ZodAny,...Bt(r)});var Da=class extends Pt{constructor(){super(...arguments),this._unknown=!0}_parse(e){return Fn(e.data)}};Da.create=r=>new Da({typeName:bt.ZodUnknown,...Bt(r)});var Vi=class extends Pt{_parse(e){let t=this._getOrReturnCtx(e);return Ke(t,{code:He.invalid_type,expected:Xe.never,received:t.parsedType}),Ft}};Vi.create=r=>new Vi({typeName:bt.ZodNever,...Bt(r)});var yu=class extends Pt{_parse(e){if(this._getType(e)!==Xe.undefined){let n=this._getOrReturnCtx(e);return Ke(n,{code:He.invalid_type,expected:Xe.void,received:n.parsedType}),Ft}return Fn(e.data)}};yu.create=r=>new yu({typeName:bt.ZodVoid,...Bt(r)});var Ea=class r extends Pt{_parse(e){let{ctx:t,status:n}=this._processInputParams(e),i=this._def;if(t.parsedType!==Xe.array)return Ke(t,{code:He.invalid_type,expected:Xe.array,received:t.parsedType}),Ft;if(i.exactLength!==null){let o=t.data.length>i.exactLength.value,l=t.data.length<i.exactLength.value;(o||l)&&(Ke(t,{code:o?He.too_big:He.too_small,minimum:l?i.exactLength.value:void 0,maximum:o?i.exactLength.value:void 0,type:"array",inclusive:!0,exact:!0,message:i.exactLength.message}),n.dirty())}if(i.minLength!==null&&t.data.length<i.minLength.value&&(Ke(t,{code:He.too_small,minimum:i.minLength.value,type:"array",inclusive:!0,exact:!1,message:i.minLength.message}),n.dirty()),i.maxLength!==null&&t.data.length>i.maxLength.value&&(Ke(t,{code:He.too_big,maximum:i.maxLength.value,type:"array",inclusive:!0,exact:!1,message:i.maxLength.message}),n.dirty()),t.common.async)return Promise.all([...t.data].map((o,l)=>i.type._parseAsync(new Di(t,o,t.path,l)))).then(o=>En.mergeArray(n,o));let a=[...t.data].map((o,l)=>i.type._parseSync(new Di(t,o,t.path,l)));return En.mergeArray(n,a)}get element(){return this._def.type}min(e,t){return new r({...this._def,minLength:{value:e,message:pt.toString(t)}})}max(e,t){return new r({...this._def,maxLength:{value:e,message:pt.toString(t)}})}length(e,t){return new r({...this._def,exactLength:{value:e,message:pt.toString(t)}})}nonempty(e){return this.min(1,e)}};Ea.create=(r,e)=>new Ea({type:r,minLength:null,maxLength:null,exactLength:null,typeName:bt.ZodArray,...Bt(e)});function gu(r){if(r instanceof Hn){let e={};for(let t in r.shape){let n=r.shape[t];e[t]=Ui.create(gu(n))}return new Hn({...r._def,shape:()=>e})}else return r instanceof Ea?new Ea({...r._def,type:gu(r.element)}):r instanceof Ui?Ui.create(gu(r.unwrap())):r instanceof Sa?Sa.create(gu(r.unwrap())):r instanceof ea?ea.create(r.items.map(e=>gu(e))):r}var Hn=class r extends Pt{constructor(){super(...arguments),this._cached=null,this.nonstrict=this.passthrough,this.augment=this.extend}_getCached(){if(this._cached!==null)return this._cached;let e=this._def.shape(),t=Yt.objectKeys(e);return this._cached={shape:e,keys:t}}_parse(e){if(this._getType(e)!==Xe.object){let s=this._getOrReturnCtx(e);return Ke(s,{code:He.invalid_type,expected:Xe.object,received:s.parsedType}),Ft}let{status:n,ctx:i}=this._processInputParams(e),{shape:a,keys:o}=this._getCached(),l=[];if(!(this._def.catchall instanceof Vi&&this._def.unknownKeys==="strip"))for(let s in i.data)o.includes(s)||l.push(s);let u=[];for(let s of o){let c=a[s],f=i.data[s];u.push({key:{status:"valid",value:s},value:c._parse(new Di(i,f,i.path,s)),alwaysSet:s in i.data})}if(this._def.catchall instanceof Vi){let s=this._def.unknownKeys;if(s==="passthrough")for(let c of l)u.push({key:{status:"valid",value:c},value:{status:"valid",value:i.data[c]}});else if(s==="strict")l.length>0&&(Ke(i,{code:He.unrecognized_keys,keys:l}),n.dirty());else if(s!=="strip")throw new Error("Internal ZodObject error: invalid unknownKeys value.")}else{let s=this._def.catchall;for(let c of l){let f=i.data[c];u.push({key:{status:"valid",value:c},value:s._parse(new Di(i,f,i.path,c)),alwaysSet:c in i.data})}}return i.common.async?Promise.resolve().then(async()=>{let s=[];for(let c of u){let f=await c.key;s.push({key:f,value:await c.value,alwaysSet:c.alwaysSet})}return s}).then(s=>En.mergeObjectSync(n,s)):En.mergeObjectSync(n,u)}get shape(){return this._def.shape()}strict(e){return pt.errToObj,new r({...this._def,unknownKeys:"strict",...e!==void 0?{errorMap:(t,n)=>{var i,a,o,l;let u=(o=(a=(i=this._def).errorMap)===null||a===void 0?void 0:a.call(i,t,n).message)!==null&&o!==void 0?o:n.defaultError;return t.code==="unrecognized_keys"?{message:(l=pt.errToObj(e).message)!==null&&l!==void 0?l:u}:{message:u}}}:{}})}strip(){return new r({...this._def,unknownKeys:"strip"})}passthrough(){return new r({...this._def,unknownKeys:"passthrough"})}extend(e){return new r({...this._def,shape:()=>({...this._def.shape(),...e})})}merge(e){return new r({unknownKeys:e._def.unknownKeys,catchall:e._def.catchall,shape:()=>({...this._def.shape(),...e._def.shape()}),typeName:bt.ZodObject})}setKey(e,t){return this.augment({[e]:t})}catchall(e){return new r({...this._def,catchall:e})}pick(e){let t={};return Yt.objectKeys(e).forEach(n=>{e[n]&&this.shape[n]&&(t[n]=this.shape[n])}),new r({...this._def,shape:()=>t})}omit(e){let t={};return Yt.objectKeys(this.shape).forEach(n=>{e[n]||(t[n]=this.shape[n])}),new r({...this._def,shape:()=>t})}deepPartial(){return gu(this)}partial(e){let t={};return Yt.objectKeys(this.shape).forEach(n=>{let i=this.shape[n];e&&!e[n]?t[n]=i:t[n]=i.optional()}),new r({...this._def,shape:()=>t})}required(e){let t={};return Yt.objectKeys(this.shape).forEach(n=>{if(e&&!e[n])t[n]=this.shape[n];else{let a=this.shape[n];for(;a instanceof Ui;)a=a._def.innerType;t[n]=a}}),new r({...this._def,shape:()=>t})}keyof(){return Kk(Yt.objectKeys(this.shape))}};Hn.create=(r,e)=>new Hn({shape:()=>r,unknownKeys:"strip",catchall:Vi.create(),typeName:bt.ZodObject,...Bt(e)});Hn.strictCreate=(r,e)=>new Hn({shape:()=>r,unknownKeys:"strict",catchall:Vi.create(),typeName:bt.ZodObject,...Bt(e)});Hn.lazycreate=(r,e)=>new Hn({shape:r,unknownKeys:"strip",catchall:Vi.create(),typeName:bt.ZodObject,...Bt(e)});var ts=class extends Pt{_parse(e){let{ctx:t}=this._processInputParams(e),n=this._def.options;function i(a){for(let l of a)if(l.result.status==="valid")return l.result;for(let l of a)if(l.result.status==="dirty")return t.common.issues.push(...l.ctx.common.issues),l.result;let o=a.map(l=>new ui(l.ctx.common.issues));return Ke(t,{code:He.invalid_union,unionErrors:o}),Ft}if(t.common.async)return Promise.all(n.map(async a=>{let o={...t,common:{...t.common,issues:[]},parent:null};return{result:await a._parseAsync({data:t.data,path:t.path,parent:o}),ctx:o}})).then(i);{let a,o=[];for(let u of n){let s={...t,common:{...t.common,issues:[]},parent:null},c=u._parseSync({data:t.data,path:t.path,parent:s});if(c.status==="valid")return c;c.status==="dirty"&&!a&&(a={result:c,ctx:s}),s.common.issues.length&&o.push(s.common.issues)}if(a)return t.common.issues.push(...a.ctx.common.issues),a.result;let l=o.map(u=>new ui(u));return Ke(t,{code:He.invalid_union,unionErrors:l}),Ft}}get options(){return this._def.options}};ts.create=(r,e)=>new ts({options:r,typeName:bt.ZodUnion,...Bt(e)});var ym=r=>r instanceof ns?ym(r.schema):r instanceof li?ym(r.innerType()):r instanceof is?[r.value]:r instanceof as?r.options:r instanceof os?Object.keys(r.enum):r instanceof ss?ym(r._def.innerType):r instanceof Ko?[void 0]:r instanceof es?[null]:null,_m=class r extends Pt{_parse(e){let{ctx:t}=this._processInputParams(e);if(t.parsedType!==Xe.object)return Ke(t,{code:He.invalid_type,expected:Xe.object,received:t.parsedType}),Ft;let n=this.discriminator,i=t.data[n],a=this.optionsMap.get(i);return a?t.common.async?a._parseAsync({data:t.data,path:t.path,parent:t}):a._parseSync({data:t.data,path:t.path,parent:t}):(Ke(t,{code:He.invalid_union_discriminator,options:Array.from(this.optionsMap.keys()),path:[n]}),Ft)}get discriminator(){return this._def.discriminator}get options(){return this._def.options}get optionsMap(){return this._def.optionsMap}static create(e,t,n){let i=new Map;for(let a of t){let o=ym(a.shape[e]);if(!o)throw new Error(`A discriminator value for key \`${e}\` could not be extracted from all schema options`);for(let l of o){if(i.has(l))throw new Error(`Discriminator property ${String(e)} has duplicate value ${String(l)}`);i.set(l,a)}}return new r({typeName:bt.ZodDiscriminatedUnion,discriminator:e,options:t,optionsMap:i,...Bt(n)})}};function A_(r,e){let t=co(r),n=co(e);if(r===e)return{valid:!0,data:r};if(t===Xe.object&&n===Xe.object){let i=Yt.objectKeys(e),a=Yt.objectKeys(r).filter(l=>i.indexOf(l)!==-1),o={...r,...e};for(let l of a){let u=A_(r[l],e[l]);if(!u.valid)return{valid:!1};o[l]=u.data}return{valid:!0,data:o}}else if(t===Xe.array&&n===Xe.array){if(r.length!==e.length)return{valid:!1};let i=[];for(let a=0;a<r.length;a++){let o=r[a],l=e[a],u=A_(o,l);if(!u.valid)return{valid:!1};i.push(u.data)}return{valid:!0,data:i}}else return t===Xe.date&&n===Xe.date&&+r==+e?{valid:!0,data:r}:{valid:!1}}var rs=class extends Pt{_parse(e){let{status:t,ctx:n}=this._processInputParams(e),i=(a,o)=>{if(w_(a)||w_(o))return Ft;let l=A_(a.value,o.value);return l.valid?((__(a)||__(o))&&t.dirty(),{status:t.value,value:l.data}):(Ke(n,{code:He.invalid_intersection_types}),Ft)};return n.common.async?Promise.all([this._def.left._parseAsync({data:n.data,path:n.path,parent:n}),this._def.right._parseAsync({data:n.data,path:n.path,parent:n})]).then(([a,o])=>i(a,o)):i(this._def.left._parseSync({data:n.data,path:n.path,parent:n}),this._def.right._parseSync({data:n.data,path:n.path,parent:n}))}};rs.create=(r,e,t)=>new rs({left:r,right:e,typeName:bt.ZodIntersection,...Bt(t)});var ea=class r extends Pt{_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Xe.array)return Ke(n,{code:He.invalid_type,expected:Xe.array,received:n.parsedType}),Ft;if(n.data.length<this._def.items.length)return Ke(n,{code:He.too_small,minimum:this._def.items.length,inclusive:!0,exact:!1,type:"array"}),Ft;!this._def.rest&&n.data.length>this._def.items.length&&(Ke(n,{code:He.too_big,maximum:this._def.items.length,inclusive:!0,exact:!1,type:"array"}),t.dirty());let a=[...n.data].map((o,l)=>{let u=this._def.items[l]||this._def.rest;return u?u._parse(new Di(n,o,n.path,l)):null}).filter(o=>!!o);return n.common.async?Promise.all(a).then(o=>En.mergeArray(t,o)):En.mergeArray(t,a)}get items(){return this._def.items}rest(e){return new r({...this._def,rest:e})}};ea.create=(r,e)=>{if(!Array.isArray(r))throw new Error("You must pass an array of schemas to z.tuple([ ... ])");return new ea({items:r,typeName:bt.ZodTuple,rest:null,...Bt(e)})};var Am=class r extends Pt{get keySchema(){return this._def.keyType}get valueSchema(){return this._def.valueType}_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Xe.object)return Ke(n,{code:He.invalid_type,expected:Xe.object,received:n.parsedType}),Ft;let i=[],a=this._def.keyType,o=this._def.valueType;for(let l in n.data)i.push({key:a._parse(new Di(n,l,n.path,l)),value:o._parse(new Di(n,n.data[l],n.path,l))});return n.common.async?En.mergeObjectAsync(t,i):En.mergeObjectSync(t,i)}get element(){return this._def.valueType}static create(e,t,n){return t instanceof Pt?new r({keyType:e,valueType:t,typeName:bt.ZodRecord,...Bt(n)}):new r({keyType:fo.create(),valueType:e,typeName:bt.ZodRecord,...Bt(t)})}},bu=class extends Pt{get keySchema(){return this._def.keyType}get valueSchema(){return this._def.valueType}_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Xe.map)return Ke(n,{code:He.invalid_type,expected:Xe.map,received:n.parsedType}),Ft;let i=this._def.keyType,a=this._def.valueType,o=[...n.data.entries()].map(([l,u],s)=>({key:i._parse(new Di(n,l,n.path,[s,"key"])),value:a._parse(new Di(n,u,n.path,[s,"value"]))}));if(n.common.async){let l=new Map;return Promise.resolve().then(async()=>{for(let u of o){let s=await u.key,c=await u.value;if(s.status==="aborted"||c.status==="aborted")return Ft;(s.status==="dirty"||c.status==="dirty")&&t.dirty(),l.set(s.value,c.value)}return{status:t.value,value:l}})}else{let l=new Map;for(let u of o){let s=u.key,c=u.value;if(s.status==="aborted"||c.status==="aborted")return Ft;(s.status==="dirty"||c.status==="dirty")&&t.dirty(),l.set(s.value,c.value)}return{status:t.value,value:l}}}};bu.create=(r,e,t)=>new bu({valueType:e,keyType:r,typeName:bt.ZodMap,...Bt(t)});var xu=class r extends Pt{_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Xe.set)return Ke(n,{code:He.invalid_type,expected:Xe.set,received:n.parsedType}),Ft;let i=this._def;i.minSize!==null&&n.data.size<i.minSize.value&&(Ke(n,{code:He.too_small,minimum:i.minSize.value,type:"set",inclusive:!0,exact:!1,message:i.minSize.message}),t.dirty()),i.maxSize!==null&&n.data.size>i.maxSize.value&&(Ke(n,{code:He.too_big,maximum:i.maxSize.value,type:"set",inclusive:!0,exact:!1,message:i.maxSize.message}),t.dirty());let a=this._def.valueType;function o(u){let s=new Set;for(let c of u){if(c.status==="aborted")return Ft;c.status==="dirty"&&t.dirty(),s.add(c.value)}return{status:t.value,value:s}}let l=[...n.data.values()].map((u,s)=>a._parse(new Di(n,u,n.path,s)));return n.common.async?Promise.all(l).then(u=>o(u)):o(l)}min(e,t){return new r({...this._def,minSize:{value:e,message:pt.toString(t)}})}max(e,t){return new r({...this._def,maxSize:{value:e,message:pt.toString(t)}})}size(e,t){return this.min(e,t).max(e,t)}nonempty(e){return this.min(1,e)}};xu.create=(r,e)=>new xu({valueType:r,minSize:null,maxSize:null,typeName:bt.ZodSet,...Bt(e)});var Dm=class r extends Pt{constructor(){super(...arguments),this.validate=this.implement}_parse(e){let{ctx:t}=this._processInputParams(e);if(t.parsedType!==Xe.function)return Ke(t,{code:He.invalid_type,expected:Xe.function,received:t.parsedType}),Ft;function n(l,u){return xm({data:l,path:t.path,errorMaps:[t.common.contextualErrorMap,t.schemaErrorMap,bm(),$l].filter(s=>!!s),issueData:{code:He.invalid_arguments,argumentsError:u}})}function i(l,u){return xm({data:l,path:t.path,errorMaps:[t.common.contextualErrorMap,t.schemaErrorMap,bm(),$l].filter(s=>!!s),issueData:{code:He.invalid_return_type,returnTypeError:u}})}let a={errorMap:t.common.contextualErrorMap},o=t.data;if(this._def.returns instanceof mo){let l=this;return Fn(async function(...u){let s=new ui([]),c=await l._def.args.parseAsync(u,a).catch(m=>{throw s.addIssue(n(u,m)),s}),f=await Reflect.apply(o,this,c);return await l._def.returns._def.type.parseAsync(f,a).catch(m=>{throw s.addIssue(i(f,m)),s})})}else{let l=this;return Fn(function(...u){let s=l._def.args.safeParse(u,a);if(!s.success)throw new ui([n(u,s.error)]);let c=Reflect.apply(o,this,s.data),f=l._def.returns.safeParse(c,a);if(!f.success)throw new ui([i(c,f.error)]);return f.data})}}parameters(){return this._def.args}returnType(){return this._def.returns}args(...e){return new r({...this._def,args:ea.create(e).rest(Da.create())})}returns(e){return new r({...this._def,returns:e})}implement(e){return this.parse(e)}strictImplement(e){return this.parse(e)}static create(e,t,n){return new r({args:e||ea.create([]).rest(Da.create()),returns:t||Da.create(),typeName:bt.ZodFunction,...Bt(n)})}},ns=class extends Pt{get schema(){return this._def.getter()}_parse(e){let{ctx:t}=this._processInputParams(e);return this._def.getter()._parse({data:t.data,path:t.path,parent:t})}};ns.create=(r,e)=>new ns({getter:r,typeName:bt.ZodLazy,...Bt(e)});var is=class extends Pt{_parse(e){if(e.data!==this._def.value){let t=this._getOrReturnCtx(e);return Ke(t,{received:t.data,code:He.invalid_literal,expected:this._def.value}),Ft}return{status:"valid",value:e.data}}get value(){return this._def.value}};is.create=(r,e)=>new is({value:r,typeName:bt.ZodLiteral,...Bt(e)});function Kk(r,e){return new as({values:r,typeName:bt.ZodEnum,...Bt(e)})}var as=class r extends Pt{_parse(e){if(typeof e.data!="string"){let t=this._getOrReturnCtx(e),n=this._def.values;return Ke(t,{expected:Yt.joinValues(n),received:t.parsedType,code:He.invalid_type}),Ft}if(this._def.values.indexOf(e.data)===-1){let t=this._getOrReturnCtx(e),n=this._def.values;return Ke(t,{received:t.data,code:He.invalid_enum_value,options:n}),Ft}return Fn(e.data)}get options(){return this._def.values}get enum(){let e={};for(let t of this._def.values)e[t]=t;return e}get Values(){let e={};for(let t of this._def.values)e[t]=t;return e}get Enum(){let e={};for(let t of this._def.values)e[t]=t;return e}extract(e){return r.create(e)}exclude(e){return 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i=document.createElement("span");e.append(i),i.addClass("mb-button","mb-button-inline");let a=this.renderInitialButton(i,n),o,l=this.plugin.api.buttonManager.registerButtonLoadListener(this.filePath,n,u=>{a==null||a.$destroy(),o=new Du(this.plugin,u,this.filePath,!0),o.mount(i)});this.cleanupCallbacks.push(()=>{a==null||a.$destroy(),o==null||o.unmount(),l()})}}unmount(){for(let e of this.cleanupCallbacks)e()}};var Cm=class extends hn{constructor(e,t,n,i,a){super(e,"inline",n,i,a),this.content=t}onload(){console.log("meta-bind | InlineButtonMDRC >> onload"),this.plugin.mdrcManager.registerMDRC(this),this.containerEl.className="",this.buttonField=new Nm(this.plugin,this.content,this.filePath);try{this.buttonField.mount(this.containerEl)}catch(e){this.errorCollection.add(e),new Yn({target:this.containerEl,props:{app:this.plugin.app,errorCollection:this.errorCollection,declaration:this.content}})}}onunload(){var e;console.log("meta-bind | InlineButtonMDRC >> 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Please report this error.`});return t}getPlugin(e){return this.plugin.app.plugins.getPlugin(e)}throwPluginNotFound(e){throw new So({errorLevel:"ERROR",effect:"Dependency Violation Detected",cause:`Plugin ${e} is required, but not installed. Please install the plugin.`})}checkDependencyVersion(e,t){if(Si.lessThan(t,e.minVersion))throw new So({errorLevel:"ERROR",effect:"Dependency Violation Detected",cause:`Plugin ${e.pluginId} is outdated. Required version is at least ${e.minVersion}, installed version is ${t}. Please update the plugin.`});if(e.maxVersion!==void 0&&(Si.greaterThan(t,e.maxVersion)||Si.equals(t,e.maxVersion)))throw new So({errorLevel:"ERROR",effect:"Dependency Violation Detected",cause:`Plugin ${e.pluginId} is too new. Required version is lower than ${e.maxVersion}, installed version is ${t}. 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Please install the required plugins and restart Obsidian."}).open(),!0):!1}};var Nd=(n=>(n.DEV="dev",n.CANARY="canary",n.RELEASE="release",n))(Nd||{}),id=class extends ad.Plugin{async onload(){if(console.log("meta-bind | Main >> load"),this.build=this.determineBuild(),await this.loadSettings(),await this.saveSettings(),this.addSettingTab(new wc(this.app,this)),this.dependencyManager=new nd(this,[{name:"Dataview",pluginId:"dataview",minVersion:new Si(0,5,64)},{name:"JS Engine",pluginId:"js-engine",minVersion:new Si(0,1,0)}]),this.dependencyManager.checkDependenciesOnStartup())return;this.api=new Lm(this),this.internal=new Jm(this),this.mdrcManager=new $m;let e=new Hm(this);this.metadataManager=new Oc(e),this.loadTemplates(),this.addPostProcessors(),this.registerEditorExtension(L4(this)),this.addCommands(),_5(this),this.registerView(No,t=>new xc(t,this)),this.addStatusBarBuildIndicator()}onunload(){console.log("meta-bind | Main >> unload"),this.mdrcManager.unload(),this.metadataManager.unload()}determineBuild(){return this.manifest.version.includes("canary")?"canary":"release"}addPostProcessors(){this.registerMarkdownPostProcessor((e,t)=>{let n=e.querySelectorAll("code");for(let i=0;i<n.length;i++){let a=n.item(i);if(a.hasClass("mb-none"))continue;let o=a.innerText,l=In.isDeclarationAndGetMDRCType(o);l!==void 0&&In.constructMDRC(l,o,t.sourcePath,a,t,this)}},1),this.registerMarkdownCodeBlockProcessor("meta-bind",(e,t,n)=>{let i=t,a=e.trim(),o=In.isDeclarationAndGetMDRCType(a);o==="INPUT_FIELD"&&this.api.createInputFieldFromString(a,"block",n.sourcePath,i,n,void 0),o==="VIEW_FIELD"&&this.api.createViewFieldFromString(a,"block",n.sourcePath,i,n),o==="BUTTON"&&this.api.createInlineButtonFromString(a,n.sourcePath,i,n)}),this.registerMarkdownCodeBlockProcessor("meta-bind-js-view",(e,t,n)=>{this.api.createJsViewFieldFromString(e,"block",n.sourcePath,t,n)}),this.registerMarkdownCodeBlockProcessor("meta-bind-embed",(e,t,n)=>{let i=new Ql(t,e,this,n.sourcePath,Ht(),0);n.addChild(i)});for(let e=1;e<=$_;e++)this.registerMarkdownCodeBlockProcessor(`meta-bind-embed-internal-${e}`,(t,n,i)=>{let a=new Ql(n,t,this,i.sourcePath,Ht(),e);i.addChild(a)});this.registerMarkdownCodeBlockProcessor("meta-bind-button",(e,t,n)=>{let i=new ho(t,e,this,n.sourcePath,Ht());n.addChild(i)})}addCommands(){this.addCommand({id:"open-docs",name:"Open Meta Bind Docs",callback:()=>{window.open("https://mprojectscode.github.io/obsidian-meta-bind-plugin-docs/","_blank")}}),this.addCommand({id:"open-faq",name:"Open Meta Bind FAQ",callback:()=>{this.activateView(No)}}),this.addCommand({id:"open-help",name:"Open Meta Bind Help",callback:()=>{this.activateView(No)}}),this.addCommand({id:"open-button-builder",name:"Open Button Builder",callback:()=>{new rd(this,e=>{window.navigator.clipboard.writeText(`\`\`\`meta-bind-button
${(0,ad.stringifyYaml)(e)}
\`\`\``)}).open()}})}addStatusBarBuildIndicator(){if(this.build==="dev"){let e=this.addStatusBarItem();e.setText("Meta Bind Dev Build"),e.addClass("mb-error"),this.register(()=>e.remove())}if(this.build==="canary"){let e=this.addStatusBarItem();e.setText(`Meta Bind Canary Build (${this.manifest.version})`),e.addClass("mb-error"),this.register(()=>e.remove())}}loadTemplates(){let e=this.api.inputFieldParser.parseTemplates(this.settings.inputFieldTemplates);e.hasErrors()&&console.warn("meta-bind | failed to parse templates",e)}isFilePathExcluded(e){for(let t of this.settings.excludedFolders)if(e.startsWith(t))return!0;return!1}async loadSettings(){console.log("meta-bind | Main >> settings load");let e=await this.loadData();e=this.applyTemplatesMigration(Object.assign({},Ci,e)),this.settings=e,await this.saveSettings()}async saveSettings(){console.log("meta-bind | Main >> settings save"),$r.dateFormat=this.settings.preferredDateFormat,_L(this.settings.firstWeekday),await this.saveData(this.settings)}applyTemplatesMigration(e){return e}async activateView(e){let{workspace:t}=this.app,n,i=t.getLeavesOfType(e);i.length>0?n=i[0]:(n=t.getLeaf("tab"),await n.setViewState({type:e,active:!0})),t.revealLeaf(n)}};
/*! Bundled license information:

complex.js/complex.js:
  (**
   * @license Complex.js v2.1.1 12/05/2020
   *
   * Copyright (c) 2020, Robert Eisele (robert@xarg.org)
   * Dual licensed under the MIT or GPL Version 2 licenses.
   **)

fraction.js/fraction.js:
  (**
   * @license Fraction.js v4.3.0 20/08/2023
   * https://www.xarg.org/2014/03/rational-numbers-in-javascript/
   *
   * Copyright (c) 2023, Robert Eisele (robert@raw.org)
   * Dual licensed under the MIT or GPL Version 2 licenses.
   **)

decimal.js/decimal.mjs:
  (*!
   *  decimal.js v10.4.3
   *  An arbitrary-precision Decimal type for JavaScript.
   *  https://github.com/MikeMcl/decimal.js
   *  Copyright (c) 2022 Michael Mclaughlin <M8ch88l@gmail.com>
   *  MIT Licence
   *)
*/