/* ------------------------------------------- Meta Bind - Release Build ------------------------------------------- By: Moritz Jung (https://www.moritzjung.dev/) Time: Tue, 29 Oct 2024 17:53:39 GMT Version: 1.2.5 ------------------------------------------- THIS IS A GENERATED/BUNDLED FILE BY ESBUILD if you want to view the source, please visit the github repository of this plugin ------------------------------------------- Copyright (C) 2024 Moritz Jung ------------------------------------------- This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. 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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 isBase64(){return!!this._def.checks.find(e=>e.kind==="base64")}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{var e;return new ou({checks:[],typeName:Gt.ZodString,coerce:(e=r?.coerce)!==null&&e!==void 0?e:!1,...fr(r)})};function rH(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 rl=class r extends pr{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)!==pt.number){let a=this._getOrReturnCtx(e);return st(a,{code:We.invalid_type,expected:pt.number,received:a.parsedType}),Zt}let n,i=new yi;for(let a of this._def.checks)a.kind==="int"?Mr.isInteger(e.data)||(n=this._getOrReturnCtx(e,n),st(n,{code:We.invalid_type,expected:"integer",received:"float",message:a.message}),i.dirty()):a.kind==="min"?(a.inclusive?e.dataa.value:e.data>=a.value)&&(n=this._getOrReturnCtx(e,n),st(n,{code:We.too_big,maximum:a.value,type:"number",inclusive:a.inclusive,exact:!1,message:a.message}),i.dirty()):a.kind==="multipleOf"?rH(e.data,a.value)!==0&&(n=this._getOrReturnCtx(e,n),st(n,{code:We.not_multiple_of,multipleOf:a.value,message:a.message}),i.dirty()):a.kind==="finite"?Number.isFinite(e.data)||(n=this._getOrReturnCtx(e,n),st(n,{code:We.not_finite,message:a.message}),i.dirty()):Mr.assertNever(a);return{status:i.value,value:e.data}}gte(e,t){return this.setLimit("min",e,!0,Ct.toString(t))}gt(e,t){return this.setLimit("min",e,!1,Ct.toString(t))}lte(e,t){return this.setLimit("max",e,!0,Ct.toString(t))}lt(e,t){return this.setLimit("max",e,!1,Ct.toString(t))}setLimit(e,t,n,i){return new r({...this._def,checks:[...this._def.checks,{kind:e,value:t,inclusive:n,message:Ct.toString(i)}]})}_addCheck(e){return new r({...this._def,checks:[...this._def.checks,e]})}int(e){return this._addCheck({kind:"int",message:Ct.toString(e)})}positive(e){return this._addCheck({kind:"min",value:0,inclusive:!1,message:Ct.toString(e)})}negative(e){return this._addCheck({kind:"max",value:0,inclusive:!1,message:Ct.toString(e)})}nonpositive(e){return this._addCheck({kind:"max",value:0,inclusive:!0,message:Ct.toString(e)})}nonnegative(e){return this._addCheck({kind:"min",value:0,inclusive:!0,message:Ct.toString(e)})}multipleOf(e,t){return this._addCheck({kind:"multipleOf",value:e,message:Ct.toString(t)})}finite(e){return this._addCheck({kind:"finite",message:Ct.toString(e)})}safe(e){return this._addCheck({kind:"min",inclusive:!0,value:Number.MIN_SAFE_INTEGER,message:Ct.toString(e)})._addCheck({kind:"max",inclusive:!0,value:Number.MAX_SAFE_INTEGER,message:Ct.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.valuee.kind==="int"||e.kind==="multipleOf"&&Mr.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.valuenew rl({checks:[],typeName:Gt.ZodNumber,coerce:r?.coerce||!1,...fr(r)});var nl=class r extends pr{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)!==pt.bigint){let a=this._getOrReturnCtx(e);return st(a,{code:We.invalid_type,expected:pt.bigint,received:a.parsedType}),Zt}let n,i=new yi;for(let a of this._def.checks)a.kind==="min"?(a.inclusive?e.dataa.value:e.data>=a.value)&&(n=this._getOrReturnCtx(e,n),st(n,{code:We.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),st(n,{code:We.not_multiple_of,multipleOf:a.value,message:a.message}),i.dirty()):Mr.assertNever(a);return{status:i.value,value:e.data}}gte(e,t){return this.setLimit("min",e,!0,Ct.toString(t))}gt(e,t){return this.setLimit("min",e,!1,Ct.toString(t))}lte(e,t){return this.setLimit("max",e,!0,Ct.toString(t))}lt(e,t){return this.setLimit("max",e,!1,Ct.toString(t))}setLimit(e,t,n,i){return new r({...this._def,checks:[...this._def.checks,{kind:e,value:t,inclusive:n,message:Ct.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:Ct.toString(e)})}negative(e){return this._addCheck({kind:"max",value:BigInt(0),inclusive:!1,message:Ct.toString(e)})}nonpositive(e){return this._addCheck({kind:"max",value:BigInt(0),inclusive:!0,message:Ct.toString(e)})}nonnegative(e){return this._addCheck({kind:"min",value:BigInt(0),inclusive:!0,message:Ct.toString(e)})}multipleOf(e,t){return this._addCheck({kind:"multipleOf",value:e,message:Ct.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{var e;return new nl({checks:[],typeName:Gt.ZodBigInt,coerce:(e=r?.coerce)!==null&&e!==void 0?e:!1,...fr(r)})};var il=class extends pr{_parse(e){if(this._def.coerce&&(e.data=!!e.data),this._getType(e)!==pt.boolean){let n=this._getOrReturnCtx(e);return st(n,{code:We.invalid_type,expected:pt.boolean,received:n.parsedType}),Zt}return Li(e.data)}};il.create=r=>new il({typeName:Gt.ZodBoolean,coerce:r?.coerce||!1,...fr(r)});var al=class r extends pr{_parse(e){if(this._def.coerce&&(e.data=new Date(e.data)),this._getType(e)!==pt.date){let a=this._getOrReturnCtx(e);return st(a,{code:We.invalid_type,expected:pt.date,received:a.parsedType}),Zt}if(isNaN(e.data.getTime())){let a=this._getOrReturnCtx(e);return st(a,{code:We.invalid_date}),Zt}let n=new yi,i;for(let a of this._def.checks)a.kind==="min"?e.data.getTime()a.value&&(i=this._getOrReturnCtx(e,i),st(i,{code:We.too_big,message:a.message,inclusive:!0,exact:!1,maximum:a.value,type:"date"}),n.dirty()):Mr.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:Ct.toString(t)})}max(e,t){return this._addCheck({kind:"max",value:e.getTime(),message:Ct.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.valuenew al({checks:[],coerce:r?.coerce||!1,typeName:Gt.ZodDate,...fr(r)});var vc=class extends pr{_parse(e){if(this._getType(e)!==pt.symbol){let n=this._getOrReturnCtx(e);return st(n,{code:We.invalid_type,expected:pt.symbol,received:n.parsedType}),Zt}return Li(e.data)}};vc.create=r=>new vc({typeName:Gt.ZodSymbol,...fr(r)});var ol=class extends pr{_parse(e){if(this._getType(e)!==pt.undefined){let n=this._getOrReturnCtx(e);return st(n,{code:We.invalid_type,expected:pt.undefined,received:n.parsedType}),Zt}return Li(e.data)}};ol.create=r=>new ol({typeName:Gt.ZodUndefined,...fr(r)});var sl=class extends pr{_parse(e){if(this._getType(e)!==pt.null){let n=this._getOrReturnCtx(e);return st(n,{code:We.invalid_type,expected:pt.null,received:n.parsedType}),Zt}return Li(e.data)}};sl.create=r=>new sl({typeName:Gt.ZodNull,...fr(r)});var su=class extends pr{constructor(){super(...arguments),this._any=!0}_parse(e){return Li(e.data)}};su.create=r=>new su({typeName:Gt.ZodAny,...fr(r)});var As=class extends pr{constructor(){super(...arguments),this._unknown=!0}_parse(e){return Li(e.data)}};As.create=r=>new As({typeName:Gt.ZodUnknown,...fr(r)});var Ao=class extends pr{_parse(e){let t=this._getOrReturnCtx(e);return st(t,{code:We.invalid_type,expected:pt.never,received:t.parsedType}),Zt}};Ao.create=r=>new Ao({typeName:Gt.ZodNever,...fr(r)});var yc=class extends pr{_parse(e){if(this._getType(e)!==pt.undefined){let n=this._getOrReturnCtx(e);return st(n,{code:We.invalid_type,expected:pt.void,received:n.parsedType}),Zt}return Li(e.data)}};yc.create=r=>new yc({typeName:Gt.ZodVoid,...fr(r)});var Es=class r extends pr{_parse(e){let{ctx:t,status:n}=this._processInputParams(e),i=this._def;if(t.parsedType!==pt.array)return st(t,{code:We.invalid_type,expected:pt.array,received:t.parsedType}),Zt;if(i.exactLength!==null){let o=t.data.length>i.exactLength.value,u=t.data.lengthi.maxLength.value&&(st(t,{code:We.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,u)=>i.type._parseAsync(new za(t,o,t.path,u)))).then(o=>yi.mergeArray(n,o));let a=[...t.data].map((o,u)=>i.type._parseSync(new za(t,o,t.path,u)));return yi.mergeArray(n,a)}get element(){return this._def.type}min(e,t){return new r({...this._def,minLength:{value:e,message:Ct.toString(t)}})}max(e,t){return new r({...this._def,maxLength:{value:e,message:Ct.toString(t)}})}length(e,t){return new r({...this._def,exactLength:{value:e,message:Ct.toString(t)}})}nonempty(e){return this.min(1,e)}};Es.create=(r,e)=>new Es({type:r,minLength:null,maxLength:null,exactLength:null,typeName:Gt.ZodArray,...fr(e)});function dc(r){if(r instanceof ea){let e={};for(let t in r.shape){let n=r.shape[t];e[t]=qa.create(dc(n))}return new ea({...r._def,shape:()=>e})}else return r instanceof Es?new Es({...r._def,type:dc(r.element)}):r instanceof qa?qa.create(dc(r.unwrap())):r instanceof Go?Go.create(dc(r.unwrap())):r instanceof Ho?Ho.create(r.items.map(e=>dc(e))):r}var ea=class r extends pr{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=Mr.objectKeys(e);return this._cached={shape:e,keys:t}}_parse(e){if(this._getType(e)!==pt.object){let s=this._getOrReturnCtx(e);return st(s,{code:We.invalid_type,expected:pt.object,received:s.parsedType}),Zt}let{status:n,ctx:i}=this._processInputParams(e),{shape:a,keys:o}=this._getCached(),u=[];if(!(this._def.catchall instanceof Ao&&this._def.unknownKeys==="strip"))for(let s in i.data)o.includes(s)||u.push(s);let c=[];for(let s of o){let l=a[s],f=i.data[s];c.push({key:{status:"valid",value:s},value:l._parse(new za(i,f,i.path,s)),alwaysSet:s in i.data})}if(this._def.catchall instanceof Ao){let s=this._def.unknownKeys;if(s==="passthrough")for(let l of u)c.push({key:{status:"valid",value:l},value:{status:"valid",value:i.data[l]}});else if(s==="strict")u.length>0&&(st(i,{code:We.unrecognized_keys,keys:u}),n.dirty());else if(s!=="strip")throw new Error("Internal ZodObject error: invalid unknownKeys value.")}else{let s=this._def.catchall;for(let l of u){let f=i.data[l];c.push({key:{status:"valid",value:l},value:s._parse(new za(i,f,i.path,l)),alwaysSet:l in i.data})}}return i.common.async?Promise.resolve().then(async()=>{let s=[];for(let l of c){let f=await l.key,p=await l.value;s.push({key:f,value:p,alwaysSet:l.alwaysSet})}return s}).then(s=>yi.mergeObjectSync(n,s)):yi.mergeObjectSync(n,c)}get shape(){return this._def.shape()}strict(e){return Ct.errToObj,new r({...this._def,unknownKeys:"strict",...e!==void 0?{errorMap:(t,n)=>{var i,a,o,u;let c=(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:(u=Ct.errToObj(e).message)!==null&&u!==void 0?u:c}:{message:c}}}:{}})}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:Gt.ZodObject})}setKey(e,t){return this.augment({[e]:t})}catchall(e){return new r({...this._def,catchall:e})}pick(e){let t={};return Mr.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 Mr.objectKeys(this.shape).forEach(n=>{e[n]||(t[n]=this.shape[n])}),new r({...this._def,shape:()=>t})}deepPartial(){return dc(this)}partial(e){let t={};return Mr.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 Mr.objectKeys(this.shape).forEach(n=>{if(e&&!e[n])t[n]=this.shape[n];else{let a=this.shape[n];for(;a instanceof qa;)a=a._def.innerType;t[n]=a}}),new r({...this._def,shape:()=>t})}keyof(){return GN(Mr.objectKeys(this.shape))}};ea.create=(r,e)=>new ea({shape:()=>r,unknownKeys:"strip",catchall:Ao.create(),typeName:Gt.ZodObject,...fr(e)});ea.strictCreate=(r,e)=>new ea({shape:()=>r,unknownKeys:"strict",catchall:Ao.create(),typeName:Gt.ZodObject,...fr(e)});ea.lazycreate=(r,e)=>new ea({shape:r,unknownKeys:"strip",catchall:Ao.create(),typeName:Gt.ZodObject,...fr(e)});var ul=class extends pr{_parse(e){let{ctx:t}=this._processInputParams(e),n=this._def.options;function i(a){for(let u of a)if(u.result.status==="valid")return u.result;for(let u of a)if(u.result.status==="dirty")return t.common.issues.push(...u.ctx.common.issues),u.result;let o=a.map(u=>new _a(u.ctx.common.issues));return st(t,{code:We.invalid_union,unionErrors:o}),Zt}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 c of n){let s={...t,common:{...t.common,issues:[]},parent:null},l=c._parseSync({data:t.data,path:t.path,parent:s});if(l.status==="valid")return l;l.status==="dirty"&&!a&&(a={result:l,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 u=o.map(c=>new _a(c));return st(t,{code:We.invalid_union,unionErrors:u}),Zt}}get options(){return this._def.options}};ul.create=(r,e)=>new ul({options:r,typeName:Gt.ZodUnion,...fr(e)});var Ss=r=>r instanceof cl?Ss(r.schema):r instanceof Sa?Ss(r.innerType()):r instanceof fl?[r.value]:r instanceof pl?r.options:r instanceof ml?Mr.objectValues(r.enum):r instanceof dl?Ss(r._def.innerType):r instanceof ol?[void 0]:r instanceof sl?[null]:r instanceof qa?[void 0,...Ss(r.unwrap())]:r instanceof Go?[null,...Ss(r.unwrap())]:r instanceof np||r instanceof gl?Ss(r.unwrap()):r instanceof hl?Ss(r._def.innerType):[],Sd=class r extends pr{_parse(e){let{ctx:t}=this._processInputParams(e);if(t.parsedType!==pt.object)return st(t,{code:We.invalid_type,expected:pt.object,received:t.parsedType}),Zt;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}):(st(t,{code:We.invalid_union_discriminator,options:Array.from(this.optionsMap.keys()),path:[n]}),Zt)}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=Ss(a.shape[e]);if(!o.length)throw new Error(`A 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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}))}};ll.create=(r,e,t)=>new ll({left:r,right:e,typeName:Gt.ZodIntersection,...fr(t)});var Ho=class r extends pr{_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==pt.array)return st(n,{code:We.invalid_type,expected:pt.array,received:n.parsedType}),Zt;if(n.data.lengththis._def.items.length&&(st(n,{code:We.too_big,maximum:this._def.items.length,inclusive:!0,exact:!1,type:"array"}),t.dirty());let a=[...n.data].map((o,u)=>{let c=this._def.items[u]||this._def.rest;return c?c._parse(new za(n,o,n.path,u)):null}).filter(o=>!!o);return n.common.async?Promise.all(a).then(o=>yi.mergeArray(t,o)):yi.mergeArray(t,a)}get items(){return this._def.items}rest(e){return new 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Matrix A ("+c+") must match Matrix B ("+f+")");var m=c[0],d=c[1],h,x=t,b=0,T=o;typeof s=="string"&&s===p&&s!=="mixed"&&(h=s,x=e.find(t,[h,h]),b=e.convert(0,h),T=e.find(o,[h,h]));for(var v=u&&l?[]:void 0,S=[],_=[],y=v?[]:void 0,A=[],M=[],w=0;w{var{typed:e,matrix:t,equalScalar:n,concat:i}=r,a=Mn({typed:e,equalScalar:n}),o=Pu({typed:e,equalScalar:n}),u=Nr({typed:e,equalScalar:n}),c=Ft({typed:e,matrix:t,concat:i}),s="number | BigNumber | Fraction | Matrix | Array",l={};return l["".concat(s,", ").concat(s,", ...").concat(s)]=e.referToSelf(p=>(m,d,h)=>{for(var x=p(m,d),b=0;bp.lcm(m)},c({SS:o,DS:a,Ss:u}),l);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 d=p.times(m);!m.isZero();){var h=m;m=p.mod(h),p=h}return d.div(p).abs()}});var CP="log10",_X=["typed","config","Complex"],Xw=C(CP,_X,r=>{var{typed:e,config:t,Complex:n}=r;return e(CP,{number:function(a){return a>=0||t.predictable?N0(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=>rt(a,i))})});var NP="log2",SX=["typed","config","Complex"],Qw=C(NP,SX,r=>{var{typed:e,config:t,Complex:n}=r;return e(NP,{number:function(o){return o>=0||t.predictable?F0(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=>rt(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 AX="multiplyScalar",EX=["typed"],Kw=C(AX,EX,r=>{var{typed:e}=r;return e("multiplyScalar",{"number, number":S0,"Complex, Complex":function(n,i){return n.mul(i)},"BigNumber, BigNumber":function(n,i){return n.times(i)},"bigint, bigint":function(n,i){return n*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 FP="multiply",TX=["typed","matrix","addScalar","multiplyScalar","equalScalar","dot"],e_=C(FP,TX,r=>{var{typed:e,matrix:t,addScalar:n,multiplyScalar:i,equalScalar:a,dot:o}=r,u=Nr({typed:e,equalScalar:a}),c=Tn({typed:e});function s(_,y){switch(_.length){case 1:switch(y.length){case 1:if(_[0]!==y[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(_[0]!==y[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+_[0]+") must match Matrix rows ("+y[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+y.length+" dimensions)")}break;case 2:switch(y.length){case 1:if(_[1]!==y[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+_[1]+") must match Vector length ("+y[0]+")");break;case 2:if(_[1]!==y[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+_[1]+") must match Matrix B rows ("+y[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+y.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+_.length+" dimensions)")}}function l(_,y,A){if(A===0)throw new Error("Cannot multiply two empty vectors");return o(_,y)}function f(_,y){if(y.storage()!=="dense")throw new Error("Support for SparseMatrix not implemented");return p(_,y)}function p(_,y){var A=_._data,M=_._size,w=_._datatype||_.getDataType(),D=y._data,N=y._size,B=y._datatype||y.getDataType(),R=M[0],z=N[1],V,k=n,P=i;w&&B&&w===B&&typeof w=="string"&&w!=="mixed"&&(V=w,k=e.find(n,[V,V]),P=e.find(i,[V,V]));for(var W=[],O=0;Ove)for(var ye=0,be=0;be(y,A)=>{s(lt(y),lt(A));var M=_(t(y),t(A));return et(M)?M.valueOf():M}),"Matrix, Matrix":function(y,A){var M=y.size(),w=A.size();return s(M,w),M.length===1?w.length===1?l(y,A,M[0]):f(y,A):w.length===1?m(y,A):d(y,A)},"Matrix, Array":e.referTo("Matrix,Matrix",_=>(y,A)=>_(y,t(A))),"Array, Matrix":e.referToSelf(_=>(y,A)=>_(t(y,A.storage()),A)),"SparseMatrix, any":function(y,A){return u(y,A,i,!1)},"DenseMatrix, any":function(y,A){return c(y,A,i,!1)},"any, SparseMatrix":function(y,A){return u(A,y,i,!0)},"any, DenseMatrix":function(y,A){return c(A,y,i,!0)},"Array, any":function(y,A){return c(t(y),A,i,!1).valueOf()},"any, Array":function(y,A){return c(t(A),y,i,!0).valueOf()},"any, any":i,"any, any, ...any":e.referToSelf(_=>(y,A,M)=>{for(var w=_(y,A),D=0;D{var{typed:e,matrix:t,equalScalar:n,BigNumber:i,concat:a}=r,o=Mi({typed:e}),u=Mn({typed:e,equalScalar:n}),c=Pu({typed:e,equalScalar:n}),s=Nr({typed:e,equalScalar:n}),l=Ft({typed:e,matrix:t,concat:a});function f(){throw new Error("Complex number not supported in function nthRoot. 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BigNumber":function(f,p){return!f.isZero()&&!f.isNaN()||!p.isZero()&&!p.isNaN()},"bigint, bigint":og,"Unit, Unit":e.referToSelf(l=>(f,p)=>l(f.value||0,p.value||0))},s({SS:u,DS:o,Ss:c}))});var eB="xor",JX=["typed","matrix","DenseMatrix","concat"],v_=C(eB,JX,r=>{var{typed:e,matrix:t,DenseMatrix:n,concat:i}=r,a=zr({typed:e}),o=Ln({typed:e,DenseMatrix:n}),u=yr({typed:e,DenseMatrix:n}),c=Ft({typed:e,matrix:t,concat:i});return e(eB,{"number, number":sg,"Complex, Complex":function(l,f){return(l.re!==0||l.im!==0)!=(f.re!==0||f.im!==0)},"bigint, bigint":sg,"BigNumber, BigNumber":function(l,f){return(!l.isZero()&&!l.isNaN())!=(!f.isZero()&&!f.isNaN())},"Unit, Unit":e.referToSelf(s=>(l,f)=>s(l.value||0,f.value||0))},c({SS:o,DS:a,Ss:u}))});var tB="concat",XX=["typed","matrix","isInteger"],qp=C(tB,XX,r=>{var{typed:e,matrix:t,isInteger:n}=r;return e(tB,{"...Array | Matrix | number | BigNumber":function(a){var o,u=a.length,c=-1,s,l=!1,f=[];for(o=0;o0&&c>s)throw new di(c,s+1)}else{var m=dt(p).valueOf(),d=lt(m);if(f[o]=m,s=c,c=d.length-1,o>0&&c!==s)throw new Mt(s+1,c+1)}}if(f.length===0)throw new SyntaxError("At least one matrix expected");for(var h=f.shift();f.length;)h=d0(h,f.shift(),c);return l?t(h):h},"...string":function(a){return a.join("")}})});var rB="column",QX=["typed","Index","matrix","range"],zp=C(rB,QX,r=>{var{typed:e,Index:t,matrix:n,range:i}=r;return e(rB,{"Matrix, number":a,"Array, number":function(u,c){return a(n(dt(u)),c).valueOf()}});function a(o,u){if(o.size().length!==2)throw new Error("Only two dimensional matrix is supported");Ir(u,o.size()[1]);var c=i(0,o.size()[0]),s=new t(c,u),l=o.subset(s);return et(l)?l:n([[l]])}});var nB="count",KX=["typed","size","prod"],y_=C(nB,KX,r=>{var{typed:e,size:t,prod:n}=r;return e(nB,{string:function(a){return a.length},"Matrix | Array":function(a){return n(t(a))}})});var iB="cross",eQ=["typed","matrix","subtract","multiply"],x_=C(iB,eQ,r=>{var{typed:e,matrix:t,subtract:n,multiply:i}=r;return e(iB,{"Matrix, 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ok="equalText",SK=["typed","compareText","isZero"],g1=C(ok,SK,r=>{var{typed:e,compareText:t,isZero:n}=r;return e(ok,{"any, any":function(a,o){return n(t(a,o))}})});var yg="smaller",AK=["typed","config","matrix","DenseMatrix","concat"],v1=C(yg,AK,r=>{var{typed:e,config:t,matrix:n,DenseMatrix:i,concat:a}=r,o=zr({typed:e}),u=Ln({typed:e,DenseMatrix:i}),c=yr({typed:e,DenseMatrix:i}),s=Ft({typed:e,matrix:n,concat:a}),l=fo({typed:e});return e(yg,EK({typed:e,config:t}),{"boolean, boolean":(f,p)=>fff.compare(p)===-1,"Complex, Complex":function(p,m){throw new TypeError("No ordering relation is defined for complex numbers")}},l,s({SS:u,DS:o,Ss:c}))}),EK=C(yg,["typed","config"],r=>{var{typed:e,config:t}=r;return e(yg,{"number, number":function(i,a){return i{var{typed:e,config:t,matrix:n,DenseMatrix:i,concat:a}=r,o=zr({typed:e}),u=Ln({typed:e,DenseMatrix:i}),c=yr({typed:e,DenseMatrix:i}),s=Ft({typed:e,matrix:n,concat:a}),l=fo({typed:e});return e(xg,MK({typed:e,config:t}),{"boolean, 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sk="deepEqual",IK=["typed","equal"],w1=C(sk,IK,r=>{var{typed:e,equal:t}=r;return e(sk,{"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 u=0;u{var{typed:e,config:t,equalScalar:n,matrix:i,DenseMatrix:a,concat:o}=r,u=zr({typed:e}),c=Ln({typed:e,DenseMatrix:a}),s=yr({typed:e,DenseMatrix:a}),l=Ft({typed:e,matrix:i,concat:o});return e(_g,BK({typed:e,equalScalar:n}),l({elop:f,SS:c,DS:u,Ss:s}));function f(p,m){return!n(p,m)}}),BK=C(_g,["typed","equalScalar"],r=>{var{typed:e,equalScalar:t}=r;return e(_g,{"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 uk="partitionSelect",kK=["typed","isNumeric","isNaN","compare"],S1=C(uk,kK,r=>{var{typed:e,isNumeric:t,isNaN:n,compare:i}=r,a=i,o=(s,l)=>-i(s,l);return e(uk,{"Array | Matrix, number":function(l,f){return u(l,f,a)},"Array | Matrix, number, 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SyntaxError("Constructor must be called with the new operator");if(a&&!dn(a))throw new Error("Invalid datatype: "+a);if(et(i)||dr(i)){var o=new t(i,a);this._data=o._data,this._size=o._size,this._datatype=o._datatype,this._min=null,this._max=null}else if(i&&dr(i.data)&&dr(i.size))this._data=i.data,this._size=i.size,this._datatype=i.datatype,this._min=typeof i.min<"u"?i.min:null,this._max=typeof i.max<"u"?i.max:null;else{if(i)throw new TypeError("Unsupported type of data ("+ur(i)+")");this._data=[],this._size=[0],this._datatype=a,this._min=null,this._max=null}}return n.prototype=new t,n.prototype.type="ImmutableDenseMatrix",n.prototype.isImmutableDenseMatrix=!0,n.prototype.subset=function(i){switch(arguments.length){case 1:{var a=t.prototype.subset.call(this,i);return et(a)?new n({data:a._data,size:a._size,datatype:a._datatype}):a}case 2:case 3:throw new Error("Cannot invoke set subset on an Immutable Matrix instance");default:throw new SyntaxError("Wrong number of 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Y.units=Q,Y.fixPrefix=!0,Y.skipAutomaticSimplification=!0,this.value!==null?(Y.value=null,this.to(Y)):Y},v.prototype.formatUnits=function(){for(var Y="",Q="",xe=0,J=0,re=0;re0?(xe++,Y+=" "+this.units[re].prefix.name+this.units[re].unit.name,Math.abs(this.units[re].power-1)>1e-15&&(Y+="^"+this.units[re].power)):this.units[re].power<0&&J++;if(J>0)for(var se=0;se0?(Q+=" "+this.units[se].prefix.name+this.units[se].unit.name,Math.abs(this.units[se].power+1)>1e-15&&(Q+="^"+-this.units[se].power)):(Q+=" "+this.units[se].prefix.name+this.units[se].unit.name,Q+="^"+this.units[se].power));Y=Y.substr(1),Q=Q.substr(1),xe>1&&J>0&&(Y="("+Y+")"),J>1&&xe>0&&(Q="("+Q+")");var Ae=Y;return xe>0&&J>0&&(Ae+=" / "),Ae+=Q,Ae},v.prototype.format=function(Y){var Q=this.skipAutomaticSimplification||this.value===null?this.clone():this.simplify(),xe=!1;typeof Q.value<"u"&&Q.value!==null&&Hi(Q.value)&&(xe=Math.abs(Q.value.re)<1e-14);for(var J in Q.units)it(Q.units,J)&&Q.units[J].unit&&(Q.units[J].unit.name==="VA"&&xe?Q.units[J].unit=L.VAR:Q.units[J].unit.name==="VAR"&&!xe&&(Q.units[J].unit=L.VA));Q.units.length===1&&!Q.fixPrefix&&Math.abs(Q.units[0].power-Math.round(Q.units[0].power))<1e-14&&(Q.units[0].prefix=Q._bestPrefix());var re=Q._denormalize(Q.value),se=Q.value!==null?m(re,Y||{}):"",Ae=Q.formatUnits();return Q.value&&Hi(Q.value)&&(se="("+se+")"),Ae.length>0&&se.length>0&&(se+=" "),se+=Ae,se},v.prototype._bestPrefix=function(){if(this.units.length!==1)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");if(Math.abs(this.units[0].power-Math.round(this.units[0].power))>=1e-14)throw new Error("Can only compute the best prefix for single units with integer powers, like kg, s^2, N^-1, and so forth!");var Y=this.value!==null?c(this.value):0,Q=c(this.units[0].unit.value),xe=this.units[0].prefix;if(Y===0)return xe;var J=this.units[0].power,re=Math.log(Y/Math.pow(xe.value*Q,J))/Math.LN10-1.2;if(re>-2.200001&&re<1.800001)return xe;re=Math.abs(re);var se=this.units[0].unit.prefixes;for(var Ae in se)if(it(se,Ae)){var Te=se[Ae];if(Te.scientific){var qe=Math.abs(Math.log(Y/Math.pow(Te.value*Q,J))/Math.LN10-1.2);(qe0)},L={meter:{name:"meter",base:O.LENGTH,prefixes:P.LONG,value:1,offset:0},inch:{name:"inch",base:O.LENGTH,prefixes:P.NONE,value:.0254,offset:0},foot:{name:"foot",base:O.LENGTH,prefixes:P.NONE,value:.3048,offset:0},yard:{name:"yard",base:O.LENGTH,prefixes:P.NONE,value:.9144,offset:0},mile:{name:"mile",base:O.LENGTH,prefixes:P.NONE,value:1609.344,offset:0},link:{name:"link",base:O.LENGTH,prefixes:P.NONE,value:.201168,offset:0},rod:{name:"rod",base:O.LENGTH,prefixes:P.NONE,value:5.0292,offset:0},chain:{name:"chain",base:O.LENGTH,prefixes:P.NONE,value:20.1168,offset:0},angstrom:{name:"angstrom",base:O.LENGTH,prefixes:P.NONE,value:1e-10,offset:0},m:{name:"m",base:O.LENGTH,prefixes:P.SHORT,value:1,offset:0},in:{name:"in",base:O.LENGTH,prefixes:P.NONE,value:.0254,offset:0},ft:{name:"ft",base:O.LENGTH,prefixes:P.NONE,value:.3048,offset:0},yd:{name:"yd",base:O.LENGTH,prefixes:P.NONE,value:.9144,offset:0},mi:{name:"mi",base:O.LENGTH,prefixes:P.NONE,value:1609.344,offset:0},li:{name:"li",base:O.LENGTH,prefixes:P.NONE,value:.201168,offset:0},rd:{name:"rd",base:O.LENGTH,prefixes:P.NONE,value:5.02921,offset:0},ch:{name:"ch",base:O.LENGTH,prefixes:P.NONE,value:20.1168,offset:0},mil:{name:"mil",base:O.LENGTH,prefixes:P.NONE,value:254e-7,offset:0},m2:{name:"m2",base:O.SURFACE,prefixes:P.SQUARED,value:1,offset:0},sqin:{name:"sqin",base:O.SURFACE,prefixes:P.NONE,value:64516e-8,offset:0},sqft:{name:"sqft",base:O.SURFACE,prefixes:P.NONE,value:.09290304,offset:0},sqyd:{name:"sqyd",base:O.SURFACE,prefixes:P.NONE,value:.83612736,offset:0},sqmi:{name:"sqmi",base:O.SURFACE,prefixes:P.NONE,value:2589988110336e-6,offset:0},sqrd:{name:"sqrd",base:O.SURFACE,prefixes:P.NONE,value:25.29295,offset:0},sqch:{name:"sqch",base:O.SURFACE,prefixes:P.NONE,value:404.6873,offset:0},sqmil:{name:"sqmil",base:O.SURFACE,prefixes:P.NONE,value:64516e-14,offset:0},acre:{name:"acre",base:O.SURFACE,prefixes:P.NONE,value:4046.86,offset:0},hectare:{name:"hectare",base:O.SURFACE,prefixes:P.NONE,value:1e4,offset:0},m3:{name:"m3",base:O.VOLUME,prefixes:P.CUBIC,value:1,offset:0},L:{name:"L",base:O.VOLUME,prefixes:P.SHORT,value:.001,offset:0},l:{name:"l",base:O.VOLUME,prefixes:P.SHORT,value:.001,offset:0},litre:{name:"litre",base:O.VOLUME,prefixes:P.LONG,value:.001,offset:0},cuin:{name:"cuin",base:O.VOLUME,prefixes:P.NONE,value:16387064e-12,offset:0},cuft:{name:"cuft",base:O.VOLUME,prefixes:P.NONE,value:.028316846592,offset:0},cuyd:{name:"cuyd",base:O.VOLUME,prefixes:P.NONE,value:.764554857984,offset:0},teaspoon:{name:"teaspoon",base:O.VOLUME,prefixes:P.NONE,value:5e-6,offset:0},tablespoon:{name:"tablespoon",base:O.VOLUME,prefixes:P.NONE,value:15e-6,offset:0},drop:{name:"drop",base:O.VOLUME,prefixes:P.NONE,value:5e-8,offset:0},gtt:{name:"gtt",base:O.VOLUME,prefixes:P.NONE,value:5e-8,offset:0},minim:{name:"minim",base:O.VOLUME,prefixes:P.NONE,value:61611519921875e-21,offset:0},fluiddram:{name:"fluiddram",base:O.VOLUME,prefixes:P.NONE,value:36966911953125e-19,offset:0},fluidounce:{name:"fluidounce",base:O.VOLUME,prefixes:P.NONE,value:295735295625e-16,offset:0},gill:{name:"gill",base:O.VOLUME,prefixes:P.NONE,value:.00011829411825,offset:0},cc:{name:"cc",base:O.VOLUME,prefixes:P.NONE,value:1e-6,offset:0},cup:{name:"cup",base:O.VOLUME,prefixes:P.NONE,value:.0002365882365,offset:0},pint:{name:"pint",base:O.VOLUME,prefixes:P.NONE,value:.000473176473,offset:0},quart:{name:"quart",base:O.VOLUME,prefixes:P.NONE,value:.000946352946,offset:0},gallon:{name:"gallon",base:O.VOLUME,prefixes:P.NONE,value:.003785411784,offset:0},beerbarrel:{name:"beerbarrel",base:O.VOLUME,prefixes:P.NONE,value:.117347765304,offset:0},oilbarrel:{name:"oilbarrel",base:O.VOLUME,prefixes:P.NONE,value:.158987294928,offset:0},hogshead:{name:"hogshead",base:O.VOLUME,prefixes:P.NONE,value:.238480942392,offset:0},g:{name:"g",base:O.MASS,prefixes:P.SHORT,value:.001,offset:0},gram:{name:"gram",base:O.MASS,prefixes:P.LONG,value:.001,offset:0},ton:{name:"ton",base:O.MASS,prefixes:P.SHORT,value:907.18474,offset:0},t:{name:"t",base:O.MASS,prefixes:P.SHORT,value:1e3,offset:0},tonne:{name:"tonne",base:O.MASS,prefixes:P.LONG,value:1e3,offset:0},grain:{name:"grain",base:O.MASS,prefixes:P.NONE,value:6479891e-11,offset:0},dram:{name:"dram",base:O.MASS,prefixes:P.NONE,value:.0017718451953125,offset:0},ounce:{name:"ounce",base:O.MASS,prefixes:P.NONE,value:.028349523125,offset:0},poundmass:{name:"poundmass",base:O.MASS,prefixes:P.NONE,value:.45359237,offset:0},hundredweight:{name:"hundredweight",base:O.MASS,prefixes:P.NONE,value:45.359237,offset:0},stick:{name:"stick",base:O.MASS,prefixes:P.NONE,value:.115,offset:0},stone:{name:"stone",base:O.MASS,prefixes:P.NONE,value:6.35029318,offset:0},gr:{name:"gr",base:O.MASS,prefixes:P.NONE,value:6479891e-11,offset:0},dr:{name:"dr",base:O.MASS,prefixes:P.NONE,value:.0017718451953125,offset:0},oz:{name:"oz",base:O.MASS,prefixes:P.NONE,value:.028349523125,offset:0},lbm:{name:"lbm",base:O.MASS,prefixes:P.NONE,value:.453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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 dO={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 hO={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 gO={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 vO={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 yO={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 xO={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 bO={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 wO={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 _O={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 SO={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 AO={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 EO={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 TO={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]};var MO={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 DO={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 CO={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 NO={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 FO={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 IO={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 PO={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 BO={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 kO={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 $O={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 OO={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 RO={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 LO={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 VO={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 UO={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenuse of a list with values.",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]};var qO={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 zO={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 HO={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 GO={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 WO={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 YO={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 jO={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 ZO={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 JO={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 XO={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 QO={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 KO={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 eR={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 tR={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 rR={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 nR={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 iR={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 aR={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 oR={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 sR={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 uR={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 lR={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 cR={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]};var fR={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 pR={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 mR={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 dR={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 hR={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 gR={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 vR={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 yR={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 xR={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 bR={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 wR={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 _R={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 SR={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 AR={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 ER={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 TR={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 MR={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 DR={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 CR={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 NR={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 FR={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 IR={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 PR={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 BR={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 kR={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 $R={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 OR={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 RR={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 LR={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 VR={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 UR={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 qR={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 indicate 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 zR={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 HR={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 GR={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 WR={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 YR={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 jR={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 ZR={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 JR={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 XR={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 QR={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 KR={name:"map",category:"Matrix",syntax:["map(x, callback)","map(x, y, ..., callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array or the matrices/arrays.",examples:["map([1, 2, 3], square)","map([1, 2], [3, 4], f(a,b) = a + b)"],seealso:["filter","forEach"]};var eL={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 tL={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 rL={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 nL={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 iL={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 aL={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 oL={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 sL={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 uL={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 lL={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 cL={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 fL={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 pL={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 mL={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 dL={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 hL={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 gL={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 vL={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 yL={name:"fft",category:"Matrix",syntax:["fft(x)"],description:"Calculate N-dimensional Fourier transform",examples:["fft([[1, 0], [1, 0]])"],seealso:["ifft"]};var xL={name:"ifft",category:"Matrix",syntax:["ifft(x)"],description:"Calculate N-dimensional inverse Fourier transform",examples:["ifft([[2, 2], [0, 0]])"],seealso:["fft"]};var bL={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 wL={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 _L={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 SL={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 AL={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 EL={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 TL={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 ML={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 DL={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 CL={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 NL={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 FL={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 IL={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 PL={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 BL={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 kL={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 $L={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 OL={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 RL={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 LL={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 VL={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 UL={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 qL={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 zL={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 HL={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 GL={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 WL={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 YL={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 jL={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 ZL={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 JL={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 XL={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 QL={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 KL={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 e3={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 t3={name:"zeta",category:"Special",syntax:["zeta(s)"],description:"Compute the Riemann Zeta Function using an infinite series and Riemann's Functional Equation for the entire complex plane",examples:["zeta(0.2)","zeta(-0.5)","zeta(4)"],seealso:[]};var r3={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 n3={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 i3={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 a3={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 o3={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 s3={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 u3={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 l3={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 probability 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 c3={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 f3={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 p3={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 m3={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 d3={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 h3={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 g3={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 v3={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 y3={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the inverse hyperbolic tangent 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 x3={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 b3={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the inverse hyperbolic cosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]};var w3={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 _3={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]};var S3={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 A3={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 E3={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 T3={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 M3={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 D3={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 C3={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 N3={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. Defined as 1/tan(x)",examples:["cot(2)","1 / tan(2)"],seealso:["sec","csc","tan"]};var F3={name:"coth",category:"Trigonometry",syntax:["coth(x)"],description:"Compute the hyperbolic cotangent of x in radians.",examples:["coth(2)","1 / tanh(2)"],seealso:["sech","csch","tanh"]};var I3={name:"csc",category:"Trigonometry",syntax:["csc(x)"],description:"Compute the cosecant of x in radians. Defined as 1/sin(x)",examples:["csc(2)","1 / sin(2)"],seealso:["sec","cot","sin"]};var P3={name:"csch",category:"Trigonometry",syntax:["csch(x)"],description:"Compute the hyperbolic cosecant of x in radians. Defined as 1/sinh(x)",examples:["csch(2)","1 / sinh(2)"],seealso:["sech","coth","sinh"]};var B3={name:"sec",category:"Trigonometry",syntax:["sec(x)"],description:"Compute the secant of x in radians. Defined as 1/cos(x)",examples:["sec(2)","1 / cos(2)"],seealso:["cot","csc","cos"]};var k3={name:"sech",category:"Trigonometry",syntax:["sech(x)"],description:"Compute the hyperbolic secant of x in radians. Defined as 1/cosh(x)",examples:["sech(2)","1 / cosh(2)"],seealso:["coth","csch","cosh"]};var $3={name:"sin",category:"Trigonometry",syntax:["sin(x)"],description:"Compute the sine of x in radians.",examples:["sin(2)","sin(pi / 4) ^ 2","sin(90 deg)","sin(30 deg)","sin(0.2)^2 + cos(0.2)^2"],seealso:["asin","cos","tan"]};var O3={name:"sinh",category:"Trigonometry",syntax:["sinh(x)"],description:"Compute the hyperbolic sine of x in radians.",examples:["sinh(0.5)"],seealso:["cosh","tanh"]};var R3={name:"tan",category:"Trigonometry",syntax:["tan(x)"],description:"Compute the tangent of x in radians.",examples:["tan(0.5)","sin(0.5) / cos(0.5)","tan(pi / 4)","tan(45 deg)"],seealso:["atan","sin","cos"]};var L3={name:"tanh",category:"Trigonometry",syntax:["tanh(x)"],description:"Compute the hyperbolic tangent of x in radians.",examples:["tanh(0.5)","sinh(0.5) / cosh(0.5)"],seealso:["sinh","cosh"]};var V3={name:"to",category:"Units",syntax:["x to unit","to(x, unit)"],description:"Change the unit of a value.",examples:["5 inch to cm","3.2kg to g","16 bytes in bits"],seealso:[]};var U3={name:"bin",category:"Utils",syntax:["bin(value)"],description:"Format a number as binary",examples:["bin(2)"],seealso:["oct","hex"]};var q3={name:"clone",category:"Utils",syntax:["clone(x)"],description:"Clone a variable. Creates a copy of primitive variables, and a deep copy of matrices",examples:["clone(3.5)","clone(2 - 4i)","clone(45 deg)","clone([1, 2; 3, 4])",'clone("hello world")'],seealso:[]};var z3={name:"format",category:"Utils",syntax:["format(value)","format(value, precision)"],description:"Format a value of any type as string.",examples:["format(2.3)","format(3 - 4i)","format([])","format(pi, 3)"],seealso:["print"]};var H3={name:"hasNumericValue",category:"Utils",syntax:["hasNumericValue(x)"],description:"Test whether a value is an numeric value. In case of a string, true is returned if the string contains a numeric value.",examples:["hasNumericValue(2)",'hasNumericValue("2")','isNumeric("2")',"hasNumericValue(0)","hasNumericValue(bignumber(500))","hasNumericValue(fraction(0.125))","hasNumericValue(2 + 3i)",'hasNumericValue([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","isNumeric"]};var G3={name:"hex",category:"Utils",syntax:["hex(value)"],description:"Format a number as hexadecimal",examples:["hex(240)"],seealso:["bin","oct"]};var W3={name:"isInteger",category:"Utils",syntax:["isInteger(x)"],description:"Test whether a value is an integer number.",examples:["isInteger(2)","isInteger(3.5)","isInteger([3, 0.5, -2])"],seealso:["isNegative","isNumeric","isPositive","isZero"]};var Y3={name:"isNaN",category:"Utils",syntax:["isNaN(x)"],description:"Test whether a value is NaN (not a number)",examples:["isNaN(2)","isNaN(0 / 0)","isNaN(NaN)","isNaN(Infinity)"],seealso:["isNegative","isNumeric","isPositive","isZero"]};var j3={name:"isNegative",category:"Utils",syntax:["isNegative(x)"],description:"Test whether a value is negative: smaller than zero.",examples:["isNegative(2)","isNegative(0)","isNegative(-4)","isNegative([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isPositive","isZero"]};var Z3={name:"isNumeric",category:"Utils",syntax:["isNumeric(x)"],description:"Test whether a value is a numeric value. Returns true when the input is a number, BigNumber, Fraction, or boolean.",examples:["isNumeric(2)",'isNumeric("2")','hasNumericValue("2")',"isNumeric(0)","isNumeric(bignumber(500))","isNumeric(fraction(0.125))","isNumeric(2 + 3i)",'isNumeric([2.3, "foo", false])'],seealso:["isInteger","isZero","isNegative","isPositive","isNaN","hasNumericValue"]};var J3={name:"isPositive",category:"Utils",syntax:["isPositive(x)"],description:"Test whether a value is positive: larger than zero.",examples:["isPositive(2)","isPositive(0)","isPositive(-4)","isPositive([3, 0.5, -2])"],seealso:["isInteger","isNumeric","isNegative","isZero"]};var X3={name:"isPrime",category:"Utils",syntax:["isPrime(x)"],description:"Test whether a value is prime: has no divisors other than itself and one.",examples:["isPrime(3)","isPrime(-2)","isPrime([2, 17, 100])"],seealso:["isInteger","isNumeric","isNegative","isZero"]};var Q3={name:"isZero",category:"Utils",syntax:["isZero(x)"],description:"Test whether a value is zero.",examples:["isZero(2)","isZero(0)","isZero(-4)","isZero([3, 0, -2, 0])"],seealso:["isInteger","isNumeric","isNegative","isPositive"]};var K3={name:"numeric",category:"Utils",syntax:["numeric(x)"],description:"Convert a numeric input to a specific numeric type: number, BigNumber, bigint, or Fraction.",examples:['numeric("4")','numeric("4", "number")','numeric("4", "bigint")','numeric("4", "BigNumber")','numeric("4", "Fraction")','numeric(4, "Fraction")','numeric(fraction(2, 5), "number")'],seealso:["number","bigint","fraction","bignumber","string","format"]};var e4={name:"oct",category:"Utils",syntax:["oct(value)"],description:"Format a number as octal",examples:["oct(56)"],seealso:["bin","hex"]};var t4={name:"print",category:"Utils",syntax:["print(template, values)","print(template, values, precision)"],description:"Interpolate values into a string template.",examples:['print("Lucy is $age years old", {age: 5})','print("The value of pi is $pi", {pi: pi}, 3)','print("Hello, $user.name!", {user: {name: "John"}})','print("Values: $1, $2, $3", [6, 9, 4])'],seealso:["format"]};var r4={name:"typeOf",category:"Utils",syntax:["typeOf(x)"],description:"Get the type of a variable.",examples:["typeOf(3.5)","typeOf(2 - 4i)","typeOf(45 deg)",'typeOf("hello world")'],seealso:["getMatrixDataType"]};var n4={name:"solveODE",category:"Numeric",syntax:["solveODE(func, tspan, y0)","solveODE(func, tspan, y0, options)"],description:"Numerical Integration of Ordinary Differential Equations.",examples:["f(t,y) = y","tspan = [0, 4]","solveODE(f, tspan, 1)","solveODE(f, tspan, [1, 2])",'solveODE(f, tspan, 1, { method:"RK23", maxStep:0.1 })'],seealso:["derivative","simplifyCore"]};var i4={bignumber:Y$,bigint:j$,boolean:Z$,complex:J$,createUnit:X$,fraction:Q$,index:K$,matrix:eO,number:tO,sparse:rO,splitUnit:nO,string:iO,unit:aO,e:eA,E:eA,false:I$,i:P$,Infinity:B$,LN2:$$,LN10:k$,LOG2E:R$,LOG10E:O$,NaN:L$,null:V$,pi:tA,PI:tA,phi:U$,SQRT1_2:q$,SQRT2:z$,tau:H$,true:G$,version:W$,speedOfLight:{description:"Speed of light in vacuum",examples:["speedOfLight"]},gravitationConstant:{description:"Newtonian constant of gravitation",examples:["gravitationConstant"]},planckConstant:{description:"Planck constant",examples:["planckConstant"]},reducedPlanckConstant:{description:"Reduced Planck constant",examples:["reducedPlanckConstant"]},magneticConstant:{description:"Magnetic constant (vacuum permeability)",examples:["magneticConstant"]},electricConstant:{description:"Electric constant (vacuum permeability)",examples:["electricConstant"]},vacuumImpedance:{description:"Characteristic impedance of vacuum",examples:["vacuumImpedance"]},coulomb:{description:"Coulomb's constant",examples:["coulomb"]},elementaryCharge:{description:"Elementary charge",examples:["elementaryCharge"]},bohrMagneton:{description:"Bohr magneton",examples:["bohrMagneton"]},conductanceQuantum:{description:"Conductance quantum",examples:["conductanceQuantum"]},inverseConductanceQuantum:{description:"Inverse conductance quantum",examples:["inverseConductanceQuantum"]},magneticFluxQuantum:{description:"Magnetic flux quantum",examples:["magneticFluxQuantum"]},nuclearMagneton:{description:"Nuclear magneton",examples:["nuclearMagneton"]},klitzing:{description:"Von Klitzing constant",examples:["klitzing"]},bohrRadius:{description:"Bohr radius",examples:["bohrRadius"]},classicalElectronRadius:{description:"Classical electron radius",examples:["classicalElectronRadius"]},electronMass:{description:"Electron mass",examples:["electronMass"]},fermiCoupling:{description:"Fermi coupling constant",examples:["fermiCoupling"]},fineStructure:{description:"Fine-structure 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ength:r8,planckTemperature:n8,protonMass:i8,quantumOfCirculation:a8,reducedPlanckConstant:o8,rydberg:s8,secondRadiation:u8,speedOfLight:l8,stefanBoltzmann:c8,thomsonCrossSection:f8,avogadro:p8,bohrRadius:m8,createUnit:d8,divide:Jn,electronMass:h8,factorial:bf,firstRadiation:g8,gravity:v8,inverseConductanceQuantum:y8,lusolve:vM,magneticFluxQuantum:x8,molarMassC12:b8,multinomial:w8,parse:as,permutations:_8,planckMass:S8,polynomialRoot:A8,resolve:X8,setSize:E8,simplifyConstant:TM,solveODE:T8,stirlingS2:yM,unit:M8,bellNumbers:D8,compile:MM,eigs:xM,fermiCoupling:C8,gasConstant:N8,kldivergence:F8,mean:bM,molarVolume:I8,planckConstant:P8,quantileSeq:B8,simplifyCore:DM,variance:pv,classicalElectronRadius:k8,evaluate:CM,median:wM,simplify:dv,symbolicEqual:Une,corr:$8,freqz:O8,leafCount:qne,mad:R8,parser:zne,rationalize:Hne,std:L8,zeta:V8,derivative:Gne,norm:mv,rotationMatrix:_M,help:Wne,planckTime:U8,schur:SM,rotate:q8,sylvester:AM,lyap:z8,config:Be});rn(_f,wf,{filter:vT({typed:K}),forEach:yT({typed:K}),map:bT({typed:K}),apply:hT({isInteger:Wi,typed:K}),or:$T({DenseMatrix:ar,concat:br,equalScalar:cr,matrix:Ge,typed:K}),and:kT({add:hr,concat:br,equalScalar:cr,matrix:Ge,not:dm,typed:K,zeros:ii}),concat:MT({isInteger:Wi,matrix:Ge,typed:K}),max:wT({config:Be,larger:Fi,numeric:Ba,typed:K}),print:BT({add:hr,matrix:Ge,typed:K,zeros:ii}),bitAnd:OT({add:hr,concat:br,equalScalar:cr,matrix:Ge,not:dm,typed:K,zeros:ii}),diff:DT({bignumber:ma,matrix:Ge,number:ns,subtract:Sn,typed:K}),min:ST({config:Be,numeric:Ba,smaller:Ni,typed:K}),subset:TT({add:hr,matrix:Ge,typed:K,zeros:ii}),bitOr:RT({DenseMatrix:ar,concat:br,equalScalar:cr,matrix:Ge,typed:K}),cumsum:IT({add:hr,typed:K,unaryPlus:iv}),index:xT({Index:hi,getMatrixDataType:Xg}),sum:NT({add:hr,config:Be,numeric:Ba,typed:K}),range:AT({bignumber:ma,matrix:Ge,add:hr,config:Be,isPositive:$u,larger:Fi,largerEq:gm,smaller:Ni,smallerEq:Vl,typed:K}),row:ET({Index:hi,matrix:Ge,range:Ul,typed:K}),column:gT({Index:hi,matrix:Ge,range:Ul,typed:K}),mean:_T({add:hr,divide:Jn,typed:K}),quantileSeq:FT({add:hr,bignumber:ma,compare:Lu,divide:Jn,isInteger:Wi,larger:Fi,multiply:Pr,partitionSelect:ym,smaller:Ni,smallerEq:Vl,subtract:Sn,typed:K}),variance:PT({add:hr,apply:ev,divide:Jn,isNaN:vf,multiply:Pr,subtract:Sn,typed:K}),std:CT({map:Ou,sqrt:go,typed:K,variance:pv})});rn(H8,{BigNumber:je,Complex:Gr,Fraction:Bu,Matrix:fm,Node:Ii,ObjectNode:Sf,OperatorNode:Ys,ParenthesisNode:ql,Range:IV,RelationalNode:G8,ResultSet:UT,ArrayNode:Af,BlockNode:W8,ConditionalNode:Y8,ConstantNode:Uu,DenseMatrix:ar,RangeNode:j8,Chain:EM,FunctionAssignmentNode:Z8,SparseMatrix:is,IndexNode:Ef,ImmutableDenseMatrix:rM,Index:hi,AccessorNode:Tf,AssignmentNode:J8,FibonacciHeap:sM,Spa:pM,Unit:Lt,SymbolNode:qu,FunctionNode:zu,Help:Q8,Parser:K8});EM.createProxy(wf);var 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t=this.validateInputFieldType(),n=this.validateBindTarget(e),i=this.validateArguments(t),a={declarationString:this.unvalidatedDeclaration.declarationString,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(tu))if(t[1]===e?.value)return t[1];return this.errorCollection.add(new Bn("ERROR","Declaration Validator",`Encountered invalid identifier. 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",1),iae=ae(" ",1),aae=ae(" ",1),oae=ae('

Actions

Add action of type

Preview

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Meta Bind Playground

",1),Lae=ae(`

Quick Reference

Error Messages

When creating Input Fields or View Fields warnings ( ) and errors ( ) can occur. These are clickable and will show a modal with detailed information about the error when clicked.

Unloaded Message

A message like this [MB_UNLOADED] ... means that Obsidian told Meta Bind to unload the field that was once displayed there. This usually happens when Meta Bind was disabled, such as after a plugin update, or when another plugin is interfering with Meta Bind.

Usually reopening the note or restarting Obsidian causes the field to display normally again.

Bind Targets

Bind Targets let the plugin know what frontmatter properties to bind Input Fields and View Fields to.

Playground

Input Fields

Input Fields let you change the frontmatter of your notes from inside of notes.

View Fields

View Fields let you view and perform calculations using the frontmatter of your notes from inside of notes. They will update instantly to reflect changes to the frontmatter made by input fields and as fast as obsidian allows it for changes from other sources.

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Some Templates Failed to Parse

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Meta Bind Button Templates

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Some folder paths are invalid

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Some Templates Failed to Parse

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Meta Bind Input Field Templates

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Bundled license information: moment/moment.js: (*! moment.js *) (*! version : 2.30.1 *) (*! authors : Tim Wood, Iskren Chernev, Moment.js contributors *) (*! license : MIT *) (*! momentjs.com *) 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. **) 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 * MIT Licence *) fraction.js/fraction.js: (** * @license Fraction.js v4.3.7 31/08/2023 * 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. **) */ /* nosourcemap */