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

/*
-------------------------------------------
Meta Bind - Release Build
-------------------------------------------
By: Moritz Jung (https://mprojectscode.github.io/)
Time: Tue, 20 Feb 2024 09:14:34 GMT
Version: 0.12.5
-------------------------------------------
THIS IS A GENERATED/BUNDLED FILE BY ESBUILD
if you want to view the source, please visit the github repository of this plugin
*/

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pi=class{constructor(e,t,n,i){this._cachedPath=[],this.parent=e,this.data=t,this._path=n,this._key=i}get path(){return this._cachedPath.length||(this._key instanceof Array?this._cachedPath.push(...this._path,...this._key):this._cachedPath.push(...this._path,this._key)),this._cachedPath}},SS=(r,e)=>{if(Yu(e))return{success:!0,data:e.value};if(!r.common.issues.length)throw new Error("Validation failed but no issues detected.");return{success:!1,get error(){if(this._error)return this._error;let t=new Zn(r.common.issues);return this._error=t,this._error}}};function Pt(r){if(!r)return{};let{errorMap:e,invalid_type_error:t,required_error:n,description:i}=r;if(e&&(t||n))throw new Error(`Can't use "invalid_type_error" or "required_error" in conjunction with custom error map.`);return e?{errorMap:e,description:i}:{errorMap:(o,l)=>o.code!=="invalid_type"?{message:l.defaultError}:typeof l.data=="undefined"?{message:n!=null?n:l.defaultError}:{message:t!=null?t:l.defaultError},description:i}}var 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this._def.checks)a.kind==="int"?Kt.isInteger(e.data)||(n=this._getOrReturnCtx(e,n),tt(n,{code:He.invalid_type,expected:"integer",received:"float",message:a.message}),i.dirty()):a.kind==="min"?(a.inclusive?e.data<a.value:e.data<=a.value)&&(n=this._getOrReturnCtx(e,n),tt(n,{code:He.too_small,minimum:a.value,type:"number",inclusive:a.inclusive,exact:!1,message:a.message}),i.dirty()):a.kind==="max"?(a.inclusive?e.data>a.value:e.data>=a.value)&&(n=this._getOrReturnCtx(e,n),tt(n,{code:He.too_big,maximum:a.value,type:"number",inclusive:a.inclusive,exact:!1,message:a.message}),i.dirty()):a.kind==="multipleOf"?C6(e.data,a.value)!==0&&(n=this._getOrReturnCtx(e,n),tt(n,{code:He.not_multiple_of,multipleOf:a.value,message:a.message}),i.dirty()):a.kind==="finite"?Number.isFinite(e.data)||(n=this._getOrReturnCtx(e,n),tt(n,{code:He.not_finite,message:a.message}),i.dirty()):Kt.assertNever(a);return{status:i.value,value:e.data}}gte(e,t){return this.setLimit("min",e,!0,dt.toString(t))}gt(e,t){return this.setLimit("min",e,!1,dt.toString(t))}lte(e,t){return this.setLimit("max",e,!0,dt.toString(t))}lt(e,t){return this.setLimit("max",e,!1,dt.toString(t))}setLimit(e,t,n,i){return new r({...this._def,checks:[...this._def.checks,{kind:e,value:t,inclusive:n,message:dt.toString(i)}]})}_addCheck(e){return new r({...this._def,checks:[...this._def.checks,e]})}int(e){return this._addCheck({kind:"int",message:dt.toString(e)})}positive(e){return this._addCheck({kind:"min",value:0,inclusive:!1,message:dt.toString(e)})}negative(e){return this._addCheck({kind:"max",value:0,inclusive:!1,message:dt.toString(e)})}nonpositive(e){return this._addCheck({kind:"max",value:0,inclusive:!0,message:dt.toString(e)})}nonnegative(e){return this._addCheck({kind:"min",value:0,inclusive:!0,message:dt.toString(e)})}multipleOf(e,t){return this._addCheck({kind:"multipleOf",value:e,message:dt.toString(t)})}finite(e){return this._addCheck({kind:"finite",message:dt.toString(e)})}safe(e){return this._addCheck({kind:"min",inclusive:!0,value:Number.MIN_SAFE_INTEGER,message:dt.toString(e)})._addCheck({kind:"max",inclusive:!0,value:Number.MAX_SAFE_INTEGER,message:dt.toString(e)})}get minValue(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e}get maxValue(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e}get isInt(){return!!this._def.checks.find(e=>e.kind==="int"||e.kind==="multipleOf"&&Kt.isInteger(e.value))}get isFinite(){let e=null,t=null;for(let n of this._def.checks){if(n.kind==="finite"||n.kind==="int"||n.kind==="multipleOf")return!0;n.kind==="min"?(t===null||n.value>t)&&(t=n.value):n.kind==="max"&&(e===null||n.value<e)&&(e=n.value)}return Number.isFinite(t)&&Number.isFinite(e)}};ko.create=r=>new ko({checks:[],typeName:xt.ZodNumber,coerce:(r==null?void 0:r.coerce)||!1,...Pt(r)});var Ro=class r extends Ot{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)!==Qe.bigint){let a=this._getOrReturnCtx(e);return tt(a,{code:He.invalid_type,expected:Qe.bigint,received:a.parsedType}),Ft}let n,i=new hn;for(let a of this._def.checks)a.kind==="min"?(a.inclusive?e.data<a.value:e.data<=a.value)&&(n=this._getOrReturnCtx(e,n),tt(n,{code:He.too_small,type:"bigint",minimum:a.value,inclusive:a.inclusive,message:a.message}),i.dirty()):a.kind==="max"?(a.inclusive?e.data>a.value:e.data>=a.value)&&(n=this._getOrReturnCtx(e,n),tt(n,{code:He.too_big,type:"bigint",maximum:a.value,inclusive:a.inclusive,message:a.message}),i.dirty()):a.kind==="multipleOf"?e.data%a.value!==BigInt(0)&&(n=this._getOrReturnCtx(e,n),tt(n,{code:He.not_multiple_of,multipleOf:a.value,message:a.message}),i.dirty()):Kt.assertNever(a);return{status:i.value,value:e.data}}gte(e,t){return this.setLimit("min",e,!0,dt.toString(t))}gt(e,t){return this.setLimit("min",e,!1,dt.toString(t))}lte(e,t){return this.setLimit("max",e,!0,dt.toString(t))}lt(e,t){return this.setLimit("max",e,!1,dt.toString(t))}setLimit(e,t,n,i){return new r({...this._def,checks:[...this._def.checks,{kind:e,value:t,inclusive:n,message:dt.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:dt.toString(e)})}negative(e){return this._addCheck({kind:"max",value:BigInt(0),inclusive:!1,message:dt.toString(e)})}nonpositive(e){return this._addCheck({kind:"max",value:BigInt(0),inclusive:!0,message:dt.toString(e)})}nonnegative(e){return this._addCheck({kind:"min",value:BigInt(0),inclusive:!0,message:dt.toString(e)})}multipleOf(e,t){return this._addCheck({kind:"multipleOf",value:e,message:dt.toString(t)})}get minValue(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e}get maxValue(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e}};Ro.create=r=>{var e;return new Ro({checks:[],typeName:xt.ZodBigInt,coerce:(e=r==null?void 0:r.coerce)!==null&&e!==void 0?e:!1,...Pt(r)})};var Lo=class extends Ot{_parse(e){if(this._def.coerce&&(e.data=!!e.data),this._getType(e)!==Qe.boolean){let n=this._getOrReturnCtx(e);return tt(n,{code:He.invalid_type,expected:Qe.boolean,received:n.parsedType}),Ft}return Dn(e.data)}};Lo.create=r=>new Lo({typeName:xt.ZodBoolean,coerce:(r==null?void 0:r.coerce)||!1,...Pt(r)});var Uo=class r extends Ot{_parse(e){if(this._def.coerce&&(e.data=new Date(e.data)),this._getType(e)!==Qe.date){let a=this._getOrReturnCtx(e);return tt(a,{code:He.invalid_type,expected:Qe.date,received:a.parsedType}),Ft}if(isNaN(e.data.getTime())){let a=this._getOrReturnCtx(e);return tt(a,{code:He.invalid_date}),Ft}let n=new hn,i;for(let a of this._def.checks)a.kind==="min"?e.data.getTime()<a.value&&(i=this._getOrReturnCtx(e,i),tt(i,{code:He.too_small,message:a.message,inclusive:!0,exact:!1,minimum:a.value,type:"date"}),n.dirty()):a.kind==="max"?e.data.getTime()>a.value&&(i=this._getOrReturnCtx(e,i),tt(i,{code:He.too_big,message:a.message,inclusive:!0,exact:!1,maximum:a.value,type:"date"}),n.dirty()):Kt.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:dt.toString(t)})}max(e,t){return this._addCheck({kind:"max",value:e.getTime(),message:dt.toString(t)})}get minDate(){let e=null;for(let t of this._def.checks)t.kind==="min"&&(e===null||t.value>e)&&(e=t.value);return e!=null?new Date(e):null}get maxDate(){let e=null;for(let t of this._def.checks)t.kind==="max"&&(e===null||t.value<e)&&(e=t.value);return e!=null?new Date(e):null}};Uo.create=r=>new Uo({checks:[],coerce:(r==null?void 0:r.coerce)||!1,typeName:xt.ZodDate,...Pt(r)});var Cs=class extends Ot{_parse(e){if(this._getType(e)!==Qe.symbol){let n=this._getOrReturnCtx(e);return tt(n,{code:He.invalid_type,expected:Qe.symbol,received:n.parsedType}),Ft}return Dn(e.data)}};Cs.create=r=>new Cs({typeName:xt.ZodSymbol,...Pt(r)});var Vo=class extends Ot{_parse(e){if(this._getType(e)!==Qe.undefined){let n=this._getOrReturnCtx(e);return tt(n,{code:He.invalid_type,expected:Qe.undefined,received:n.parsedType}),Ft}return Dn(e.data)}};Vo.create=r=>new Vo({typeName:xt.ZodUndefined,...Pt(r)});var $o=class extends Ot{_parse(e){if(this._getType(e)!==Qe.null){let n=this._getOrReturnCtx(e);return tt(n,{code:He.invalid_type,expected:Qe.null,received:n.parsedType}),Ft}return Dn(e.data)}};$o.create=r=>new $o({typeName:xt.ZodNull,...Pt(r)});var Va=class extends Ot{constructor(){super(...arguments),this._any=!0}_parse(e){return Dn(e.data)}};Va.create=r=>new Va({typeName:xt.ZodAny,...Pt(r)});var ma=class extends Ot{constructor(){super(...arguments),this._unknown=!0}_parse(e){return Dn(e.data)}};ma.create=r=>new ma({typeName:xt.ZodUnknown,...Pt(r)});var Oi=class extends Ot{_parse(e){let t=this._getOrReturnCtx(e);return tt(t,{code:He.invalid_type,expected:Qe.never,received:t.parsedType}),Ft}};Oi.create=r=>new Oi({typeName:xt.ZodNever,...Pt(r)});var Ms=class extends Ot{_parse(e){if(this._getType(e)!==Qe.undefined){let n=this._getOrReturnCtx(e);return tt(n,{code:He.invalid_type,expected:Qe.void,received:n.parsedType}),Ft}return Dn(e.data)}};Ms.create=r=>new Ms({typeName:xt.ZodVoid,...Pt(r)});var da=class r extends Ot{_parse(e){let{ctx:t,status:n}=this._processInputParams(e),i=this._def;if(t.parsedType!==Qe.array)return tt(t,{code:He.invalid_type,expected:Qe.array,received:t.parsedType}),Ft;if(i.exactLength!==null){let o=t.data.length>i.exactLength.value,l=t.data.length<i.exactLength.value;(o||l)&&(tt(t,{code:o?He.too_big:He.too_small,minimum:l?i.exactLength.value:void 0,maximum:o?i.exactLength.value:void 0,type:"array",inclusive:!0,exact:!0,message:i.exactLength.message}),n.dirty())}if(i.minLength!==null&&t.data.length<i.minLength.value&&(tt(t,{code:He.too_small,minimum:i.minLength.value,type:"array",inclusive:!0,exact:!1,message:i.minLength.message}),n.dirty()),i.maxLength!==null&&t.data.length>i.maxLength.value&&(tt(t,{code:He.too_big,maximum:i.maxLength.value,type:"array",inclusive:!0,exact:!1,message:i.maxLength.message}),n.dirty()),t.common.async)return Promise.all([...t.data].map((o,l)=>i.type._parseAsync(new pi(t,o,t.path,l)))).then(o=>hn.mergeArray(n,o));let a=[...t.data].map((o,l)=>i.type._parseSync(new pi(t,o,t.path,l)));return hn.mergeArray(n,a)}get element(){return this._def.type}min(e,t){return new r({...this._def,minLength:{value:e,message:dt.toString(t)}})}max(e,t){return new r({...this._def,maxLength:{value:e,message:dt.toString(t)}})}length(e,t){return new r({...this._def,exactLength:{value:e,message:dt.toString(t)}})}nonempty(e){return this.min(1,e)}};da.create=(r,e)=>new da({type:r,minLength:null,maxLength:null,exactLength:null,typeName:xt.ZodArray,...Pt(e)});function Ns(r){if(r instanceof Bn){let e={};for(let t in r.shape){let n=r.shape[t];e[t]=Pi.create(Ns(n))}return new Bn({...r._def,shape:()=>e})}else return r instanceof da?new da({...r._def,type:Ns(r.element)}):r instanceof Pi?Pi.create(Ns(r.unwrap())):r instanceof ha?ha.create(Ns(r.unwrap())):r instanceof Zi?Zi.create(r.items.map(e=>Ns(e))):r}var Bn=class r extends Ot{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=Kt.objectKeys(e);return this._cached={shape:e,keys:t}}_parse(e){if(this._getType(e)!==Qe.object){let s=this._getOrReturnCtx(e);return tt(s,{code:He.invalid_type,expected:Qe.object,received:s.parsedType}),Ft}let{status:n,ctx:i}=this._processInputParams(e),{shape:a,keys:o}=this._getCached(),l=[];if(!(this._def.catchall instanceof Oi&&this._def.unknownKeys==="strip"))for(let s in i.data)o.includes(s)||l.push(s);let u=[];for(let s of o){let c=a[s],f=i.data[s];u.push({key:{status:"valid",value:s},value:c._parse(new pi(i,f,i.path,s)),alwaysSet:s in i.data})}if(this._def.catchall instanceof Oi){let s=this._def.unknownKeys;if(s==="passthrough")for(let c of l)u.push({key:{status:"valid",value:c},value:{status:"valid",value:i.data[c]}});else if(s==="strict")l.length>0&&(tt(i,{code:He.unrecognized_keys,keys:l}),n.dirty());else if(s!=="strip")throw new Error("Internal ZodObject error: invalid unknownKeys value.")}else{let s=this._def.catchall;for(let c of l){let f=i.data[c];u.push({key:{status:"valid",value:c},value:s._parse(new pi(i,f,i.path,c)),alwaysSet:c in i.data})}}return i.common.async?Promise.resolve().then(async()=>{let s=[];for(let c of u){let f=await c.key;s.push({key:f,value:await c.value,alwaysSet:c.alwaysSet})}return s}).then(s=>hn.mergeObjectSync(n,s)):hn.mergeObjectSync(n,u)}get shape(){return this._def.shape()}strict(e){return dt.errToObj,new r({...this._def,unknownKeys:"strict",...e!==void 0?{errorMap:(t,n)=>{var i,a,o,l;let u=(o=(a=(i=this._def).errorMap)===null||a===void 0?void 0:a.call(i,t,n).message)!==null&&o!==void 0?o:n.defaultError;return t.code==="unrecognized_keys"?{message:(l=dt.errToObj(e).message)!==null&&l!==void 0?l:u}:{message:u}}}:{}})}strip(){return new r({...this._def,unknownKeys:"strip"})}passthrough(){return new r({...this._def,unknownKeys:"passthrough"})}extend(e){return new r({...this._def,shape:()=>({...this._def.shape(),...e})})}merge(e){return new r({unknownKeys:e._def.unknownKeys,catchall:e._def.catchall,shape:()=>({...this._def.shape(),...e._def.shape()}),typeName:xt.ZodObject})}setKey(e,t){return this.augment({[e]:t})}catchall(e){return new r({...this._def,catchall:e})}pick(e){let t={};return Kt.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 Kt.objectKeys(this.shape).forEach(n=>{e[n]||(t[n]=this.shape[n])}),new r({...this._def,shape:()=>t})}deepPartial(){return Ns(this)}partial(e){let t={};return Kt.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 Kt.objectKeys(this.shape).forEach(n=>{if(e&&!e[n])t[n]=this.shape[n];else{let a=this.shape[n];for(;a instanceof Pi;)a=a._def.innerType;t[n]=a}}),new r({...this._def,shape:()=>t})}keyof(){return CS(Kt.objectKeys(this.shape))}};Bn.create=(r,e)=>new Bn({shape:()=>r,unknownKeys:"strip",catchall:Oi.create(),typeName:xt.ZodObject,...Pt(e)});Bn.strictCreate=(r,e)=>new Bn({shape:()=>r,unknownKeys:"strict",catchall:Oi.create(),typeName:xt.ZodObject,...Pt(e)});Bn.lazycreate=(r,e)=>new Bn({shape:r,unknownKeys:"strip",catchall:Oi.create(),typeName:xt.ZodObject,...Pt(e)});var qo=class extends Ot{_parse(e){let{ctx:t}=this._processInputParams(e),n=this._def.options;function i(a){for(let l of a)if(l.result.status==="valid")return l.result;for(let l of a)if(l.result.status==="dirty")return t.common.issues.push(...l.ctx.common.issues),l.result;let o=a.map(l=>new Zn(l.ctx.common.issues));return tt(t,{code:He.invalid_union,unionErrors:o}),Ft}if(t.common.async)return Promise.all(n.map(async a=>{let o={...t,common:{...t.common,issues:[]},parent:null};return{result:await a._parseAsync({data:t.data,path:t.path,parent:o}),ctx:o}})).then(i);{let a,o=[];for(let u of n){let s={...t,common:{...t.common,issues:[]},parent:null},c=u._parseSync({data:t.data,path:t.path,parent:s});if(c.status==="valid")return c;c.status==="dirty"&&!a&&(a={result:c,ctx:s}),s.common.issues.length&&o.push(s.common.issues)}if(a)return t.common.issues.push(...a.ctx.common.issues),a.result;let l=o.map(u=>new Zn(u));return tt(t,{code:He.invalid_union,unionErrors:l}),Ft}}get options(){return this._def.options}};qo.create=(r,e)=>new qo({options:r,typeName:xt.ZodUnion,...Pt(e)});var Rc=r=>r instanceof Ho?Rc(r.schema):r instanceof Jn?Rc(r.innerType()):r instanceof Go?[r.value]:r instanceof Wo?r.options:r instanceof jo?Object.keys(r.enum):r instanceof Zo?Rc(r._def.innerType):r instanceof Vo?[void 0]:r instanceof $o?[null]:null,$c=class r extends Ot{_parse(e){let{ctx:t}=this._processInputParams(e);if(t.parsedType!==Qe.object)return tt(t,{code:He.invalid_type,expected:Qe.object,received:t.parsedType}),Ft;let n=this.discriminator,i=t.data[n],a=this.optionsMap.get(i);return a?t.common.async?a._parseAsync({data:t.data,path:t.path,parent:t}):a._parseSync({data:t.data,path:t.path,parent:t}):(tt(t,{code:He.invalid_union_discriminator,options:Array.from(this.optionsMap.keys()),path:[n]}),Ft)}get discriminator(){return this._def.discriminator}get options(){return this._def.options}get optionsMap(){return this._def.optionsMap}static create(e,t,n){let i=new Map;for(let a of t){let o=Rc(a.shape[e]);if(!o)throw new Error(`A discriminator value for key \`${e}\` could not be extracted from all schema options`);for(let l of o){if(i.has(l))throw new Error(`Discriminator property ${String(e)} has duplicate value ${String(l)}`);i.set(l,a)}}return new r({typeName:xt.ZodDiscriminatedUnion,discriminator:e,options:t,optionsMap:i,...Pt(n)})}};function Xd(r,e){let t=La(r),n=La(e);if(r===e)return{valid:!0,data:r};if(t===Qe.object&&n===Qe.object){let i=Kt.objectKeys(e),a=Kt.objectKeys(r).filter(l=>i.indexOf(l)!==-1),o={...r,...e};for(let l of a){let u=Xd(r[l],e[l]);if(!u.valid)return{valid:!1};o[l]=u.data}return{valid:!0,data:o}}else if(t===Qe.array&&n===Qe.array){if(r.length!==e.length)return{valid:!1};let i=[];for(let a=0;a<r.length;a++){let o=r[a],l=e[a],u=Xd(o,l);if(!u.valid)return{valid:!1};i.push(u.data)}return{valid:!0,data:i}}else return t===Qe.date&&n===Qe.date&&+r==+e?{valid:!0,data:r}:{valid:!1}}var zo=class extends Ot{_parse(e){let{status:t,ctx:n}=this._processInputParams(e),i=(a,o)=>{if(Jd(a)||Jd(o))return Ft;let l=Xd(a.value,o.value);return l.valid?((Yd(a)||Yd(o))&&t.dirty(),{status:t.value,value:l.data}):(tt(n,{code:He.invalid_intersection_types}),Ft)};return n.common.async?Promise.all([this._def.left._parseAsync({data:n.data,path:n.path,parent:n}),this._def.right._parseAsync({data:n.data,path:n.path,parent:n})]).then(([a,o])=>i(a,o)):i(this._def.left._parseSync({data:n.data,path:n.path,parent:n}),this._def.right._parseSync({data:n.data,path:n.path,parent:n}))}};zo.create=(r,e,t)=>new zo({left:r,right:e,typeName:xt.ZodIntersection,...Pt(t)});var Zi=class r extends Ot{_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Qe.array)return tt(n,{code:He.invalid_type,expected:Qe.array,received:n.parsedType}),Ft;if(n.data.length<this._def.items.length)return tt(n,{code:He.too_small,minimum:this._def.items.length,inclusive:!0,exact:!1,type:"array"}),Ft;!this._def.rest&&n.data.length>this._def.items.length&&(tt(n,{code:He.too_big,maximum:this._def.items.length,inclusive:!0,exact:!1,type:"array"}),t.dirty());let a=[...n.data].map((o,l)=>{let u=this._def.items[l]||this._def.rest;return u?u._parse(new pi(n,o,n.path,l)):null}).filter(o=>!!o);return n.common.async?Promise.all(a).then(o=>hn.mergeArray(t,o)):hn.mergeArray(t,a)}get items(){return this._def.items}rest(e){return new r({...this._def,rest:e})}};Zi.create=(r,e)=>{if(!Array.isArray(r))throw new Error("You must pass an array of schemas to z.tuple([ ... ])");return new Zi({items:r,typeName:xt.ZodTuple,rest:null,...Pt(e)})};var qc=class r extends Ot{get keySchema(){return this._def.keyType}get valueSchema(){return this._def.valueType}_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Qe.object)return tt(n,{code:He.invalid_type,expected:Qe.object,received:n.parsedType}),Ft;let i=[],a=this._def.keyType,o=this._def.valueType;for(let l in n.data)i.push({key:a._parse(new pi(n,l,n.path,l)),value:o._parse(new pi(n,n.data[l],n.path,l))});return n.common.async?hn.mergeObjectAsync(t,i):hn.mergeObjectSync(t,i)}get element(){return this._def.valueType}static create(e,t,n){return t instanceof Ot?new r({keyType:e,valueType:t,typeName:xt.ZodRecord,...Pt(n)}):new r({keyType:Ua.create(),valueType:e,typeName:xt.ZodRecord,...Pt(t)})}},Ts=class extends Ot{get keySchema(){return this._def.keyType}get valueSchema(){return this._def.valueType}_parse(e){let{status:t,ctx:n}=this._processInputParams(e);if(n.parsedType!==Qe.map)return tt(n,{code:He.invalid_type,expected:Qe.map,received:n.parsedType}),Ft;let i=this._def.keyType,a=this._def.valueType,o=[...n.data.entries()].map(([l,u],s)=>({key:i._parse(new pi(n,l,n.path,[s,"key"])),value:a._parse(new pi(n,u,n.path,[s,"value"]))}));if(n.common.async){let l=new 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Wh=gt.highlight(Nn,"ident"),op=gt.highlight(Nn,"keyword"),jh=gt.highlightStr(",","control"),sp=gt.highlightStr("(","control"),up=gt.highlightStr(")","control"),Qs=gt.highlightStr("[","control"),Ks=gt.highlightStr("]","control"),a7=gt.highlight(fh,"string"),o7=gt.highlight(ph,"ident"),s7=Gh.P.or(o7,a7),u7=gt.separateBy(s7,jh.trim(Nr.P_UTILS.optionalWhitespace())),l7=gt.sequence(op,gt.sequence(sp,u7.trim(Nr.P_UTILS.optionalWhitespace()),up).optional()),Zh=gt.separateBy(l7,jh.trim(Nr.P_UTILS.optionalWhitespace())),eu=gt.sequence(gt.sequence(Wh,gt.highlightStr("^","control")).optional(),gt.sequence(gt.highlight(el,"ident"),gt.highlightStr("#","control")).optional(),gt.highlight(dh,"ident")),c7=gt.sequence(op.trim(Nr.P_UTILS.optionalWhitespace()),gt.sequence(sp,Zh.trim(Nr.P_UTILS.optionalWhitespace()),up).trim(Nr.P_UTILS.optionalWhitespace()).optional(),gt.sequence(gt.highlightStr(":","control").trim(Nr.P_UTILS.optionalWhitespace()),eu).trim(Nr.P_UTILS.optionalWhitespace()).optional()),f7=gt.sequence(op.trim(Nr.P_UTILS.optionalWhitespace()).optional(),gt.sequence(sp,Zh.trim(Nr.P_UTILS.optionalWhitespace()),up).trim(Nr.P_UTILS.optionalWhitespace()).optional(),gt.sequence(gt.highlightStr(":","control").trim(Nr.P_UTILS.optionalWhitespace()),eu).trim(Nr.P_UTILS.optionalWhitespace()).optional()),PD=Gh.P.or(gt.sequence(gt.highlightStr("INPUT","control"),Qs,Wh.trim(Nr.P_UTILS.optionalWhitespace()),Ks.skip(Nr.P_UTILS.optionalWhitespace()),Qs,f7,Ks),gt.sequence(gt.highlightStr("INPUT","control"),Qs,c7,Ks)),BD=gt.highlight(Nf,"ident"),p7=gt.sequence(gt.highlightStr("{","string"),eu,gt.highlightStr("}","string")),m7=gt.sequence(BD,gt.sequence(p7,BD).many()),d7=gt.sequence(op.trim(Nr.P_UTILS.optionalWhitespace()).optional(),gt.sequence(sp,Zh.trim(Nr.P_UTILS.optionalWhitespace()).optional(),up).trim(Nr.P_UTILS.optionalWhitespace()).optional(),gt.sequence(gt.highlightStr(":","control").trim(Nr.P_UTILS.optionalWhitespace()),eu).trim(Nr.P_UTILS.optionalWhitespace()).optional()),OD=gt.sequence(gt.highlightStr("VIEW","control"),Qs,m7,Ks,gt.sequence(Qs.skip(Nr.P_UTILS.optionalWhitespace()),d7,Ks).optional()),kD=gt.sequence(gt.highlightStr("BUTTON","control"),Qs,gt.separateBy(Wh,jh.trim(Nr.P_UTILS.optionalWhitespace())),Ks);var lp=class{constructor(e){this.plugin=e}highlightInputFieldDeclaration(e,t){return this.highlightWithParser(e,t,PD)}highlightViewFieldDeclaration(e,t){return this.highlightWithParser(e,t,OD)}highlightInlineButtonDeclaration(e,t){return this.highlightWithParser(e,t,kD)}highlight(e,t,n){if(t==="INPUT_FIELD")return this.highlightInputFieldDeclaration(e,n);if(t==="VIEW_FIELD")return this.highlightViewFieldDeclaration(e,n);if(t==="INLINE_BUTTON")return this.highlightInlineButtonDeclaration(e,n);throw new Error(`Unknown MDRCType ${t}`)}highlightBindTarget(e,t){return this.highlightWithParser(e,t,eu)}highlightWithParser(e,t,n){try{return t?new ga(e,qr(n.trim(RD.P_UTILS.optionalWhitespace()).thenEof(),e)):new ga(e,qr(n.thenEof(),e))}catch(i){return i instanceof tl?new ga(e,[],i):(console.error(i),new ga(e,[]))}}};var Ja=class extends Ra{constructor(e){super(),this.base=e,this.inputSignal=new _r(void 0),this.variables=[],this.hidden=!1}async initialRender(e){var t,n;Bt.addClass(e,"mb-view-text"),this.hidden=(n=(t=this.base.getArgument("hidden"))==null?void 0:t.value)!=null?n:!1,this.hidden&&Bt.addClass(e,"mb-view-hidden"),await this.onInitialRender(e),await this.rerender(e,"")}async rerender(e,t){var n;if(!this.hidden){let i=(n=of(t,this.base.plugin.settings.viewFieldDisplayNullAsEmpty))!=null?n:"";Bt.empty(e),await this.onRerender(e,i)}}onMount(e){this.buildVariables(),this.inputSignal.registerListener({callback:t=>void this.rerender(e,t)}),this.metadataSubscription=this.base.plugin.metadataManager.subscribeComputed(this.base.getUuid(),this.inputSignal,this.base.getDeclaration().writeToBindTarget,this.variables.map(t=>({bindTarget:t.bindTargetDeclaration,callbackSignal:t.inputSignal})),async()=>await this.computeValue(),()=>this.base.unmount()),this.initialRender(e)}onUnmount(){var e;this.inputSignal.unregisterAllListeners(),(e=this.metadataSubscription)==null||e.unsubscribe()}};function yr(){return yr=Object.assign?Object.assign.bind():function(r){for(var e=1;e<arguments.length;e++){var t=arguments[e];for(var n in t)Object.prototype.hasOwnProperty.call(t,n)&&(r[n]=t[n])}return r},yr.apply(this,arguments)}var Jh={epsilon:1e-12,matrix:"Matrix",number:"number",precision:64,predictable:!1,randomSeed:null};function it(r){return typeof r=="number"}function Xe(r){return!r||typeof r!="object"||typeof r.constructor!="function"?!1:r.isBigNumber===!0&&typeof r.constructor.prototype=="object"&&r.constructor.prototype.isBigNumber===!0||typeof r.constructor.isDecimal=="function"&&r.constructor.isDecimal(r)===!0}function Mn(r){return r&&typeof r=="object"&&Object.getPrototypeOf(r).isComplex===!0||!1}function va(r){return r&&typeof r=="object"&&Object.getPrototypeOf(r).isFraction===!0||!1}function ln(r){return r&&r.constructor.prototype.isUnit===!0||!1}function Ar(r){return typeof r=="string"}var It=Array.isArray;function Ge(r){return r&&r.constructor.prototype.isMatrix===!0||!1}function 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i(d,g)},Object.defineProperty(i,"name",{value:"SparseMatrix"}),i.prototype.constructor=i,i.prototype.type="SparseMatrix",i.prototype.isSparseMatrix=!0,i.prototype.getDataType=function(){return eo(this._values,Mt)},i.prototype.storage=function(){return"sparse"},i.prototype.datatype=function(){return this._datatype},i.prototype.create=function(d,g){return new i(d,g)},i.prototype.density=function(){var d=this._size[0],g=this._size[1];return d!==0&&g!==0?this._index.length/(d*g):0},i.prototype.subset=function(d,g,v){if(!this._values)throw new Error("Cannot invoke subset on a Pattern only matrix");switch(arguments.length){case 1:return l(this,d);case 2:case 3:return u(this,d,g,v);default:throw new SyntaxError("Wrong number of arguments")}};function l(d,g){if(!Ya(g))throw new TypeError("Invalid index");var v=g.isScalar();if(v)return d.get(g.min());var w=g.size();if(w.length!==d._size.length)throw new st(w.length,d._size.length);var y,x,_,b,E=g.min(),D=g.max();for(y=0,x=d._size.length;y<x;y++)Jt(E[y],d._size[y]),Jt(D[y],d._size[y]);var A=d._values,S=d._index,M=d._ptr,F=g.dimension(0),P=g.dimension(1),R=[],O=[];F.forEach(function(B,U){O[B]=U[0],R[B]=!0});var I=A?[]:void 0,T=[],$=[];return P.forEach(function(B){for($.push(T.length),_=M[B],b=M[B+1];_<b;_++)y=S[_],R[y]===!0&&(T.push(O[y]),I&&I.push(A[_]))}),$.push(T.length),new i({values:I,index:T,ptr:$,size:w,datatype:d._datatype})}function u(d,g,v,w){if(!g||g.isIndex!==!0)throw new TypeError("Invalid index");var y=g.size(),x=g.isScalar(),_;if(Ge(v)?(_=v.size(),v=v.toArray()):_=nt(v),x){if(_.length!==0)throw new TypeError("Scalar expected");d.set(g.min(),v,w)}else{if(y.length!==1&&y.length!==2)throw new st(y.length,d._size.length,"<");if(_.length<y.length){for(var b=0,E=0;y[b]===1&&_[b]===1;)b++;for(;y[b]===1;)E++,b++;v=bp(v,y.length,E,_)}if(!Li(y,_))throw new st(y,_,">");if(y.length===1){var D=g.dimension(0);D.forEach(function(M,F){Jt(M),d.set([M,0],v[F[0]],w)})}else{var A=g.dimension(0),S=g.dimension(1);A.forEach(function(M,F){Jt(M),S.forEach(function(P,R){Jt(P),d.set([M,P],v[F[0]][R[0]],w)})})}}return d}i.prototype.get=function(d){if(!It(d))throw new TypeError("Array expected");if(d.length!==this._size.length)throw new st(d.length,this._size.length);if(!this._values)throw new Error("Cannot invoke get on a Pattern only matrix");var g=d[0],v=d[1];Jt(g,this._size[0]),Jt(v,this._size[1]);var w=s(g,this._ptr[v],this._ptr[v+1],this._index);return w<this._ptr[v+1]&&this._index[w]===g?this._values[w]:0},i.prototype.set=function(d,g,v){if(!It(d))throw new TypeError("Array expected");if(d.length!==this._size.length)throw new st(d.length,this._size.length);if(!this._values)throw new Error("Cannot invoke set on a Pattern only matrix");var w=d[0],y=d[1],x=this._size[0],_=this._size[1],b=t,E=0;Ar(this._datatype)&&(b=e.find(t,[this._datatype,this._datatype])||t,E=e.convert(0,this._datatype)),(w>x-1||y>_-1)&&(p(this,Math.max(w+1,x),Math.max(y+1,_),v),x=this._size[0],_=this._size[1]),Jt(w,x),Jt(y,_);var D=s(w,this._ptr[y],this._ptr[y+1],this._index);return D<this._ptr[y+1]&&this._index[D]===w?b(g,E)?c(D,y,this._values,this._index,this._ptr):this._values[D]=g:b(g,E)||f(D,w,y,g,this._values,this._index,this._ptr),this};function s(d,g,v,w){if(v-g===0)return v;for(var y=g;y<v;y++)if(w[y]===d)return y;return g}function c(d,g,v,w,y){v.splice(d,1),w.splice(d,1);for(var x=g+1;x<y.length;x++)y[x]--}function f(d,g,v,w,y,x,_){y.splice(d,0,w),x.splice(d,0,g);for(var b=v+1;b<_.length;b++)_[b]++}i.prototype.resize=function(d,g,v){if(!Cr(d))throw new TypeError("Array or Matrix expected");var w=d.valueOf().map(x=>Array.isArray(x)&&x.length===1?x[0]:x);if(w.length!==2)throw new Error("Only two dimensions matrix are 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O=d._ptr[S],I=d._ptr[S+1]-R;for(M=O;M<I;M++)A=d._index[M],A>g-1&&(d._values.splice(M,1),d._index.splice(M,1),R++)}d._ptr[S]=d._values.length}return d._size[0]=g,d._size[1]=v,d}i.prototype.reshape=function(d,g){if(!It(d))throw new TypeError("Array expected");if(d.length!==2)throw new Error("Sparse matrices can only be reshaped in two dimensions");d.forEach(function(B){if(!it(B)||!ze(B)||B<=-2||B===0)throw new TypeError("Invalid size, must contain positive integers or -1 (size: "+at(d)+")")});var v=this._size[0]*this._size[1];d=fl(d,v);var w=d[0]*d[1];if(v!==w)throw new Error("Reshaping sparse matrix will result in the wrong number of elements");var y=g?this.clone():this;if(this._size[0]===d[0]&&this._size[1]===d[1])return y;for(var x=[],_=0;_<y._ptr.length;_++)for(var b=0;b<y._ptr[_+1]-y._ptr[_];b++)x.push(_);for(var E=y._values.slice(),D=y._index.slice(),A=0;A<y._index.length;A++){var S=D[A],M=x[A],F=S*y._size[1]+M;x[A]=F%d[1],D[A]=Math.floor(F/d[1])}y._values.length=0,y._index.length=0,y._ptr.length=d[1]+1,y._size=d.slice();for(var P=0;P<y._ptr.length;P++)y._ptr[P]=0;for(var R=0;R<E.length;R++){var O=D[R],I=x[R],T=E[R],$=s(O,y._ptr[I],y._ptr[I+1],y._index);f($,O,I,T,y._values,y._index,y._ptr)}return y},i.prototype.clone=function(){var d=new i({values:this._values?et(this._values):void 0,index:et(this._index),ptr:et(this._ptr),size:et(this._size),datatype:this._datatype});return d},i.prototype.size=function(){return this._size.slice(0)},i.prototype.map=function(d,g){if(!this._values)throw new Error("Cannot invoke map on a Pattern only matrix");var v=this,w=this._size[0],y=this._size[1],x=Tp(d),_=function(E,D,A){return x===1?d(E):x===2?d(E,[D,A]):d(E,[D,A],v)};return m(this,0,w-1,0,y-1,_,g)};function m(d,g,v,w,y,x,_){var b=[],E=[],D=[],A=t,S=0;Ar(d._datatype)&&(A=e.find(t,[d._datatype,d._datatype])||t,S=e.convert(0,d._datatype));for(var M=function(L,ae,ve){L=x(L,ae,ve),A(L,S)||(b.push(L),E.push(ae))},F=w;F<=y;F++){D.push(b.length);var P=d._ptr[F],R=d._ptr[F+1];if(_)for(var O=P;O<R;O++){var I=d._index[O];I>=g&&I<=v&&M(d._values[O],I-g,F-w)}else{for(var T={},$=P;$<R;$++){var B=d._index[$];T[B]=d._values[$]}for(var U=g;U<=v;U++){var G=U in T?T[U]:0;M(G,U-g,F-w)}}}return D.push(b.length),new i({values:b,index:E,ptr:D,size:[v-g+1,y-w+1]})}i.prototype.forEach=function(d,g){if(!this._values)throw new Error("Cannot invoke forEach on a Pattern only matrix");for(var v=this,w=this._size[0],y=this._size[1],x=0;x<y;x++){var _=this._ptr[x],b=this._ptr[x+1];if(g)for(var E=_;E<b;E++){var D=this._index[E];d(this._values[E],[D,x],v)}else{for(var A={},S=_;S<b;S++){var M=this._index[S];A[M]=this._values[S]}for(var F=0;F<w;F++){var P=F in A?A[F]:0;d(P,[F,x],v)}}}},i.prototype[Symbol.iterator]=function*(){if(!this._values)throw new Error("Cannot iterate a Pattern only matrix");for(var d=this._size[1],g=0;g<d;g++)for(var v=this._ptr[g],w=this._ptr[g+1],y=v;y<w;y++){var x=this._index[y];yield{value:this._values[y],index:[x,g]}}},i.prototype.toArray=function(){return h(this._values,this._index,this._ptr,this._size,!0)},i.prototype.valueOf=function(){return h(this._values,this._index,this._ptr,this._size,!1)};function h(d,g,v,w,y){var x=w[0],_=w[1],b=[],E,D;for(E=0;E<x;E++)for(b[E]=[],D=0;D<_;D++)b[E][D]=0;for(D=0;D<_;D++)for(var A=v[D],S=v[D+1],M=A;M<S;M++)E=g[M],b[E][D]=d?y?et(d[M]):d[M]:1;return b}return i.prototype.format=function(d){for(var g=this._size[0],v=this._size[1],w=this.density(),y="Sparse Matrix ["+at(g,d)+" x "+at(v,d)+"] density: "+at(w,d)+`
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CC="expm1",tH=["typed","Complex"],ay=N(CC,tH,r=>{var{typed:e,Complex:t}=r;return e(CC,{number:Ug,Complex:function(i){var a=Math.exp(i.re);return new t(a*Math.cos(i.im)-1,a*Math.sin(i.im))},BigNumber:function(i){return i.exp().minus(1)}})});var oy="fix",rH=["typed","Complex","matrix","ceil","floor","equalScalar","zeros","DenseMatrix"],nH=N(oy,["typed","ceil","floor"],r=>{var{typed:e,ceil:t,floor:n}=r;return e(oy,{number:function(a){return a>0?n(a):t(a)},"number, number":function(a,o){return a>0?n(a,o):t(a,o)}})}),sy=N(oy,rH,r=>{var{typed:e,Complex:t,matrix:n,ceil:i,floor:a,equalScalar:o,zeros:l,DenseMatrix:u}=r,s=qt({typed:e,DenseMatrix:u}),c=Or({typed:e}),f=nH({typed:e,ceil:i,floor:a});return e("fix",{number:f.signatures.number,"number, number | BigNumber":f.signatures["number,number"],Complex:function(m){return new t(m.re>0?Math.floor(m.re):Math.ceil(m.re),m.im>0?Math.floor(m.im):Math.ceil(m.im))},"Complex, number":function(m,h){return new 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e(uy,{number:function(a){return Pr(a,n(a),t.epsilon)?n(a):Math.floor(a)},"number, number":function(a,o){if(Pr(a,n(a,o),t.epsilon))return n(a,o);var[l,u]="".concat(a,"e").split("e"),s=Math.floor(Number("".concat(l,"e").concat(Number(u)+o)));return[l,u]="".concat(s,"e").split("e"),Number("".concat(l,"e").concat(Number(u)-o))}})}),yl=N(uy,iH,r=>{var{typed:e,config:t,round:n,matrix:i,equalScalar:a,zeros:o,DenseMatrix:l}=r,u=Yt({typed:e,equalScalar:a}),s=qt({typed:e,DenseMatrix:l}),c=Or({typed:e}),f=aH({typed:e,config:t,round:n});return e("floor",{number:f.signatures.number,"number,number":f.signatures["number,number"],Complex:function(m){return m.floor()},"Complex, number":function(m,h){return m.floor(h)},"Complex, BigNumber":function(m,h){return m.floor(h.toNumber())},BigNumber:function(m){return nn(m,n(m),t.epsilon)?n(m):m.floor()},"BigNumber, BigNumber":function(m,h){return nn(m,n(m,h),t.epsilon)?n(m,h):m.toDecimalPlaces(h.toNumber(),rs.ROUND_FLOOR)},Fraction:function(m){return m.floor()},"Fraction, number":function(m,h){return m.floor(h)},"Fraction, BigNumber":function(m,h){return m.floor(h.toNumber())},"Array | Matrix":e.referToSelf(p=>m=>Je(m,p,!0)),"Array, number | BigNumber":e.referToSelf(p=>(m,h)=>Je(m,d=>p(d,h),!0)),"SparseMatrix, number | BigNumber":e.referToSelf(p=>(m,h)=>u(m,h,p,!1)),"DenseMatrix, number | BigNumber":e.referToSelf(p=>(m,h)=>c(m,h,p,!1)),"number | Complex | Fraction | BigNumber, Array":e.referToSelf(p=>(m,h)=>c(i(h),m,p,!0).valueOf()),"number | Complex | Fraction | BigNumber, Matrix":e.referToSelf(p=>(m,h)=>a(m,0)?o(h.size(),h.storage()):h.storage()==="dense"?c(h,m,p,!0):s(h,m,p,!0))})});var oH="matAlgo02xDS0",sH=["typed","equalScalar"],kr=N(oH,sH,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o,l){var u=i._data,s=i._size,c=i._datatype,f=a._values,p=a._index,m=a._ptr,h=a._size,d=a._datatype;if(s.length!==h.length)throw new st(s.length,h.length);if(s[0]!==h[0]||s[1]!==h[1])throw new RangeError("Dimension mismatch. Matrix A ("+s+") must match Matrix B ("+h+")");if(!f)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var g=s[0],v=s[1],w,y=t,x=0,_=o;typeof c=="string"&&c===d&&(w=c,y=e.find(t,[w,w]),x=e.convert(0,w),_=e.find(o,[w,w]));for(var b=[],E=[],D=[],A=0;A<v;A++){D[A]=E.length;for(var S=m[A],M=m[A+1],F=S;F<M;F++){var P=p[F],R=l?_(f[F],u[P][A]):_(u[P][A],f[F]);y(R,x)||(E.push(P),b.push(R))}}return D[v]=E.length,a.createSparseMatrix({values:b,index:E,ptr:D,size:[g,v],datatype:w})}});var uH="matAlgo03xDSf",lH=["typed"],sr=N(uH,lH,r=>{var{typed:e}=r;return function(n,i,a,o){var l=n._data,u=n._size,s=n._datatype,c=i._values,f=i._index,p=i._ptr,m=i._size,h=i._datatype;if(u.length!==m.length)throw new st(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!c)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var d=u[0],g=u[1],v,w=0,y=a;typeof s=="string"&&s===h&&(v=s,w=e.convert(0,v),y=e.find(a,[v,v]));for(var x=[],_=0;_<d;_++)x[_]=[];for(var b=[],E=[],D=0;D<g;D++){for(var A=D+1,S=p[D],M=p[D+1],F=S;F<M;F++){var P=f[F];b[P]=o?y(c[F],l[P][D]):y(l[P][D],c[F]),E[P]=A}for(var R=0;R<d;R++)E[R]===A?x[R][D]=b[R]:x[R][D]=o?y(w,l[R][D]):y(l[R][D],w)}return n.createDenseMatrix({data:x,size:[d,g],datatype:v})}});var cH="matAlgo05xSfSf",fH=["typed","equalScalar"],so=N(cH,fH,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o){var l=i._values,u=i._index,s=i._ptr,c=i._size,f=i._datatype,p=a._values,m=a._index,h=a._ptr,d=a._size,g=a._datatype;if(c.length!==d.length)throw new st(c.length,d.length);if(c[0]!==d[0]||c[1]!==d[1])throw new RangeError("Dimension mismatch. Matrix A ("+c+") must match Matrix B ("+d+")");var v=c[0],w=c[1],y,x=t,_=0,b=o;typeof f=="string"&&f===g&&(y=f,x=e.find(t,[y,y]),_=e.convert(0,y),b=e.find(o,[y,y]));var E=l&&p?[]:void 0,D=[],A=[],S=E?[]:void 0,M=E?[]:void 0,F=[],P=[],R,O,I,T;for(O=0;O<w;O++){A[O]=D.length;var $=O+1;for(I=s[O],T=s[O+1];I<T;I++)R=u[I],D.push(R),F[R]=$,S&&(S[R]=l[I]);for(I=h[O],T=h[O+1];I<T;I++)R=m[I],F[R]!==$&&D.push(R),P[R]=$,M&&(M[R]=p[I]);if(E)for(I=A[O];I<D.length;){R=D[I];var B=F[R],U=P[R];if(B===$||U===$){var G=B===$?S[R]:_,H=U===$?M[R]:_,L=b(G,H);x(L,_)?D.splice(I,1):(E.push(L),I++)}}}return A[w]=D.length,i.createSparseMatrix({values:E,index:D,ptr:A,size:[v,w],datatype:y})}});var pH="matAlgo13xDD",mH=["typed"],MC=N(pH,mH,r=>{var{typed:e}=r;return function(i,a,o){var l=i._data,u=i._size,s=i._datatype,c=a._data,f=a._size,p=a._datatype,m=[];if(u.length!==f.length)throw new st(u.length,f.length);for(var h=0;h<u.length;h++){if(u[h]!==f[h])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+f+")");m[h]=u[h]}var d,g=o;typeof s=="string"&&s===p&&(d=s,g=e.find(o,[d,d]));var v=m.length>0?t(g,0,m,m[0],l,c):[];return i.createDenseMatrix({data:v,size:m,datatype:d})};function t(n,i,a,o,l,u){var s=[];if(i===a.length-1)for(var c=0;c<o;c++)s[c]=n(l[c],u[c]);else for(var f=0;f<o;f++)s[f]=t(n,i+1,a,a[i+1],l[f],u[f]);return s}});var dH="broadcast",hH=["concat"],TC=N(dH,hH,r=>{var{concat:e}=r;return function(i,a){var o=Math.max(i._size.length,a._size.length);if(i._size.length===a._size.length&&i._size.every((h,d)=>h===a._size[d]))return[i,a];for(var l=t(i._size,o,0),u=t(a._size,o,0),s=[],c=0;c<o;c++)s[c]=Math.max(l[c],u[c]);pl(l,s),pl(u,s);var f=i.clone(),p=a.clone();f._size.length<o?f.reshape(t(f._size,o,1)):p._size.length<o&&p.reshape(t(p._size,o,1));for(var m=0;m<o;m++)f._size[m]<s[m]&&(f=n(f,s[m],m)),p._size[m]<s[m]&&(p=n(p,s[m],m));return[f,p]};function t(i,a,o){return[...Array(a-i.length).fill(o),...i]}function n(i,a,o){return e(...Array(a).fill(i),o)}});var gH="matrixAlgorithmSuite",vH=["typed","matrix","concat"],ct=N(gH,vH,r=>{var{typed:e,matrix:t,concat:n}=r,i=MC({typed:e}),a=Or({typed:e}),o=TC({concat:n});return function(u){var s=u.elop,c=u.SD||u.DS,f;s?(f={"DenseMatrix, DenseMatrix":(d,g)=>i(...o(d,g),s),"Array, Array":(d,g)=>i(...o(t(d),t(g)),s).valueOf(),"Array, DenseMatrix":(d,g)=>i(...o(t(d),g),s),"DenseMatrix, Array":(d,g)=>i(...o(d,t(g)),s)},u.SS&&(f["SparseMatrix, SparseMatrix"]=(d,g)=>u.SS(...o(d,g),s,!1)),u.DS&&(f["DenseMatrix, SparseMatrix"]=(d,g)=>u.DS(...o(d,g),s,!1),f["Array, SparseMatrix"]=(d,g)=>u.DS(...o(t(d),g),s,!1)),c&&(f["SparseMatrix, DenseMatrix"]=(d,g)=>c(...o(g,d),s,!0),f["SparseMatrix, Array"]=(d,g)=>c(...o(t(g),d),s,!0))):(f={"DenseMatrix, DenseMatrix":e.referToSelf(d=>(g,v)=>i(...o(g,v),d)),"Array, Array":e.referToSelf(d=>(g,v)=>i(...o(t(g),t(v)),d).valueOf()),"Array, DenseMatrix":e.referToSelf(d=>(g,v)=>i(...o(t(g),v),d)),"DenseMatrix, Array":e.referToSelf(d=>(g,v)=>i(...o(g,t(v)),d))},u.SS&&(f["SparseMatrix, SparseMatrix"]=e.referToSelf(d=>(g,v)=>u.SS(...o(g,v),d,!1))),u.DS&&(f["DenseMatrix, SparseMatrix"]=e.referToSelf(d=>(g,v)=>u.DS(...o(g,v),d,!1)),f["Array, SparseMatrix"]=e.referToSelf(d=>(g,v)=>u.DS(...o(t(g),v),d,!1))),c&&(f["SparseMatrix, DenseMatrix"]=e.referToSelf(d=>(g,v)=>c(...o(v,g),d,!0)),f["SparseMatrix, Array"]=e.referToSelf(d=>(g,v)=>c(...o(t(v),g),d,!0))));var p=u.scalar||"any",m=u.Ds||u.Ss;m&&(s?(f["DenseMatrix,"+p]=(d,g)=>a(d,g,s,!1),f[p+", DenseMatrix"]=(d,g)=>a(g,d,s,!0),f["Array,"+p]=(d,g)=>a(t(d),g,s,!1).valueOf(),f[p+", Array"]=(d,g)=>a(t(g),d,s,!0).valueOf()):(f["DenseMatrix,"+p]=e.referToSelf(d=>(g,v)=>a(g,v,d,!1)),f[p+", DenseMatrix"]=e.referToSelf(d=>(g,v)=>a(v,g,d,!0)),f["Array,"+p]=e.referToSelf(d=>(g,v)=>a(t(g),v,d,!1).valueOf()),f[p+", Array"]=e.referToSelf(d=>(g,v)=>a(t(v),g,d,!0).valueOf())));var h=u.sS!==void 0?u.sS:u.Ss;return s?(u.Ss&&(f["SparseMatrix,"+p]=(d,g)=>u.Ss(d,g,s,!1)),h&&(f[p+", SparseMatrix"]=(d,g)=>h(g,d,s,!0))):(u.Ss&&(f["SparseMatrix,"+p]=e.referToSelf(d=>(g,v)=>u.Ss(g,v,d,!1))),h&&(f[p+", SparseMatrix"]=e.referToSelf(d=>(g,v)=>h(v,g,d,!0)))),s&&s.signatures&&pp(f,s.signatures),f}});var FC="mod",yH=["typed","config","round","matrix","equalScalar","zeros","DenseMatrix","concat"],bl=N(FC,yH,r=>{var{typed:e,config:t,round:n,matrix:i,equalScalar:a,zeros:o,DenseMatrix:l,concat:u}=r,s=yl({typed:e,config:t,round:n,matrix:i,equalScalar:a,zeros:o,DenseMatrix:l}),c=kr({typed:e,equalScalar:a}),f=sr({typed:e}),p=so({typed:e,equalScalar:a}),m=Yt({typed:e,equalScalar:a}),h=qt({typed:e,DenseMatrix:l}),d=ct({typed:e,matrix:i,concat:u});return e(FC,{"number, number":g,"BigNumber, BigNumber":function(w,y){return y.isZero()?w:w.sub(y.mul(s(w.div(y))))},"Fraction, Fraction":function(w,y){return y.equals(0)?w:w.sub(y.mul(s(w.div(y))))}},d({SS:p,DS:f,SD:c,Ss:m,sS:h}));function g(v,w){return w===0?v:v-w*s(v/w)}});var bH="matAlgo01xDSid",xH=["typed"],xn=N(bH,xH,r=>{var{typed:e}=r;return function(n,i,a,o){var l=n._data,u=n._size,s=n._datatype,c=i._values,f=i._index,p=i._ptr,m=i._size,h=i._datatype;if(u.length!==m.length)throw new st(u.length,m.length);if(u[0]!==m[0]||u[1]!==m[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+m+")");if(!c)throw new Error("Cannot perform operation on Dense Matrix and Pattern Sparse Matrix");var d=u[0],g=u[1],v=typeof s=="string"&&s===h?s:void 0,w=v?e.find(a,[v,v]):a,y,x,_=[];for(y=0;y<d;y++)_[y]=[];var b=[],E=[];for(x=0;x<g;x++){for(var D=x+1,A=p[x],S=p[x+1],M=A;M<S;M++)y=f[M],b[y]=o?w(c[M],l[y][x]):w(l[y][x],c[M]),E[y]=D;for(y=0;y<d;y++)E[y]===D?_[y][x]=b[y]:_[y][x]=l[y][x]}return n.createDenseMatrix({data:_,size:[d,g],datatype:v})}});var wH="matAlgo04xSidSid",_H=["typed","equalScalar"],fu=N(wH,_H,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o){var l=i._values,u=i._index,s=i._ptr,c=i._size,f=i._datatype,p=a._values,m=a._index,h=a._ptr,d=a._size,g=a._datatype;if(c.length!==d.length)throw new st(c.length,d.length);if(c[0]!==d[0]||c[1]!==d[1])throw new RangeError("Dimension mismatch. Matrix A ("+c+") must match Matrix B ("+d+")");var v=c[0],w=c[1],y,x=t,_=0,b=o;typeof f=="string"&&f===g&&(y=f,x=e.find(t,[y,y]),_=e.convert(0,y),b=e.find(o,[y,y]));var E=l&&p?[]:void 0,D=[],A=[],S=l&&p?[]:void 0,M=l&&p?[]:void 0,F=[],P=[],R,O,I,T,$;for(O=0;O<w;O++){A[O]=D.length;var B=O+1;for(T=s[O],$=s[O+1],I=T;I<$;I++)R=u[I],D.push(R),F[R]=B,S&&(S[R]=l[I]);for(T=h[O],$=h[O+1],I=T;I<$;I++)if(R=m[I],F[R]===B){if(S){var U=b(S[R],p[I]);x(U,_)?F[R]=null:S[R]=U}}else D.push(R),P[R]=B,M&&(M[R]=p[I]);if(S&&M)for(I=A[O];I<D.length;)R=D[I],F[R]===B?(E[I]=S[R],I++):P[R]===B?(E[I]=M[R],I++):D.splice(I,1)}return A[w]=D.length,i.createSparseMatrix({values:E,index:D,ptr:A,size:[v,w],datatype:y})}});var AH="matAlgo10xSids",SH=["typed","DenseMatrix"],Vn=N(AH,SH,r=>{var{typed:e,DenseMatrix:t}=r;return function(i,a,o,l){var u=i._values,s=i._index,c=i._ptr,f=i._size,p=i._datatype;if(!u)throw new Error("Cannot perform operation on Pattern Sparse Matrix and Scalar value");var m=f[0],h=f[1],d,g=o;typeof p=="string"&&(d=p,a=e.convert(a,d),g=e.find(o,[d,d]));for(var v=[],w=[],y=[],x=0;x<h;x++){for(var _=x+1,b=c[x],E=c[x+1],D=b;D<E;D++){var A=s[D];w[A]=u[D],y[A]=_}for(var S=0;S<m;S++)x===0&&(v[S]=[]),y[S]===_?v[S][x]=l?g(a,w[S]):g(w[S],a):v[S][x]=a}return new t({data:v,size:[m,h],datatype:d})}});function _a(r,e,t,n){if(!(this instanceof _a))throw new SyntaxError("Constructor must be called with the new operator");this.fn=r,this.count=e,this.min=t,this.max=n,this.message="Wrong number of arguments in function "+r+" ("+e+" provided, "+t+(n!=null?"-"+n:"")+" expected)",this.stack=new Error().stack}_a.prototype=new Error;_a.prototype.constructor=Error;_a.prototype.name="ArgumentsError";_a.prototype.isArgumentsError=!0;var IC="gcd",EH=["typed","config","round","matrix","equalScalar","zeros","BigNumber","DenseMatrix","concat"],ly="number | BigNumber | Fraction | Matrix | Array",DH="".concat(ly,", ").concat(ly,", ...").concat(ly);function BC(r){return!r.some(e=>Array.isArray(e))}var cy=N(IC,EH,r=>{var{typed:e,matrix:t,config:n,round:i,equalScalar:a,zeros:o,BigNumber:l,DenseMatrix:u,concat:s}=r,c=bl({typed:e,config:n,round:i,matrix:t,equalScalar:a,zeros:o,DenseMatrix:u,concat:s}),f=xn({typed:e}),p=fu({typed:e,equalScalar:a}),m=Vn({typed:e,DenseMatrix:u}),h=ct({typed:e,matrix:t,concat:s});return e(IC,{"number, number":d,"BigNumber, BigNumber":g,"Fraction, Fraction":(v,w)=>v.gcd(w)},h({SS:p,DS:f,Ss:m}),{[DH]:e.referToSelf(v=>(w,y,x)=>{for(var _=v(w,y),b=0;b<x.length;b++)_=v(_,x[b]);return _}),Array:e.referToSelf(v=>w=>{if(w.length===1&&Array.isArray(w[0])&&BC(w[0]))return v(...w[0]);if(BC(w))return v(...w);throw new _a("gcd() supports only 1d matrices!")}),Matrix:e.referToSelf(v=>w=>v(w.toArray()))});function d(v,w){if(!ze(v)||!ze(w))throw new Error("Parameters in function gcd must be integer numbers");for(var y;w!==0;)y=c(v,w),v=w,w=y;return v<0?-v:v}function g(v,w){if(!v.isInt()||!w.isInt())throw new Error("Parameters in function gcd must be integer numbers");for(var y=new l(0);!w.isZero();){var x=c(v,w);v=w,w=x}return v.lt(y)?v.neg():v}});var NH="matAlgo06xS0S0",CH=["typed","equalScalar"],uo=N(NH,CH,r=>{var{typed:e,equalScalar:t}=r;return function(i,a,o){var l=i._values,u=i._size,s=i._datatype,c=a._values,f=a._size,p=a._datatype;if(u.length!==f.length)throw new st(u.length,f.length);if(u[0]!==f[0]||u[1]!==f[1])throw new RangeError("Dimension mismatch. Matrix A ("+u+") must match Matrix B ("+f+")");var m=u[0],h=u[1],d,g=t,v=0,w=o;typeof s=="string"&&s===p&&(d=s,g=e.find(t,[d,d]),v=e.convert(0,d),w=e.find(o,[d,d]));for(var y=l&&c?[]:void 0,x=[],_=[],b=y?[]:void 0,E=[],D=[],A=0;A<h;A++){_[A]=x.length;var S=A+1;if(Mg(i,A,E,b,D,S,x,w),Mg(a,A,E,b,D,S,x,w),b)for(var M=_[A];M<x.length;){var F=x[M];if(D[F]===S){var P=b[F];g(P,v)?x.splice(M,1):(y.push(P),M++)}else x.splice(M,1)}else for(var R=_[A];R<x.length;){var O=x[R];D[O]!==S?x.splice(R,1):R++}}return _[h]=x.length,i.createSparseMatrix({values:y,index:x,ptr:_,size:[m,h],datatype:d})}});var PC="lcm",MH=["typed","matrix","equalScalar","concat"],fy=N(PC,MH,r=>{var{typed:e,matrix:t,equalScalar:n,concat:i}=r,a=kr({typed:e,equalScalar:n}),o=uo({typed:e,equalScalar:n}),l=Yt({typed:e,equalScalar:n}),u=ct({typed:e,matrix:t,concat:i}),s="number | BigNumber | Fraction | Matrix | Array",c={};return c["".concat(s,", ").concat(s,", ...").concat(s)]=e.referToSelf(p=>(m,h,d)=>{for(var g=p(m,h),v=0;v<d.length;v++)g=p(g,d[v]);return g}),e(PC,{"number, number":Vg,"BigNumber, BigNumber":f,"Fraction, Fraction":(p,m)=>p.lcm(m)},u({SS:o,DS:a,Ss:l}),c);function f(p,m){if(!p.isInt()||!m.isInt())throw new Error("Parameters in function lcm must be integer numbers");if(p.isZero())return p;if(m.isZero())return m;for(var h=p.times(m);!m.isZero();){var d=m;m=p.mod(d),p=d}return h.div(p).abs()}});var OC="log10",TH=["typed","config","Complex"],py=N(OC,TH,r=>{var{typed:e,config:t,Complex:n}=r;return e(OC,{number:function(a){return a>=0||t.predictable?$g(a):new n(a,0).log().div(Math.LN10)},Complex:function(a){return new n(a).log().div(Math.LN10)},BigNumber:function(a){return!a.isNegative()||t.predictable?a.log():new n(a.toNumber(),0).log().div(Math.LN10)},"Array | Matrix":e.referToSelf(i=>a=>Je(a,i))})});var kC="log2",FH=["typed","config","Complex"],my=N(kC,FH,r=>{var{typed:e,config:t,Complex:n}=r;return e(kC,{number:function(o){return o>=0||t.predictable?qg(o):i(new n(o,0))},Complex:i,BigNumber:function(o){return!o.isNegative()||t.predictable?o.log(2):i(new n(o.toNumber(),0))},"Array | Matrix":e.referToSelf(a=>o=>Je(o,a))});function i(a){var o=Math.sqrt(a.re*a.re+a.im*a.im);return new n(Math.log2?Math.log2(o):Math.log(o)/Math.LN2,Math.atan2(a.im,a.re)/Math.LN2)}});var IH="multiplyScalar",BH=["typed"],dy=N(IH,BH,r=>{var{typed:e}=r;return e("multiplyScalar",{"number, number":Pg,"Complex, Complex":function(n,i){return n.mul(i)},"BigNumber, BigNumber":function(n,i){return n.times(i)},"Fraction, Fraction":function(n,i){return n.mul(i)},"number | Fraction | BigNumber | Complex, Unit":(t,n)=>n.multiply(t),"Unit, number | Fraction | BigNumber | Complex | Unit":(t,n)=>t.multiply(n)})});var RC="multiply",PH=["typed","matrix","addScalar","multiplyScalar","equalScalar","dot"],hy=N(RC,PH,r=>{var{typed:e,matrix:t,addScalar:n,multiplyScalar:i,equalScalar:a,dot:o}=r,l=Yt({typed:e,equalScalar:a}),u=Or({typed:e});function s(_,b){switch(_.length){case 1:switch(b.length){case 1:if(_[0]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Vectors must have the same length");break;case 2:if(_[0]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Vector length ("+_[0]+") must match Matrix rows ("+b[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+b.length+" dimensions)")}break;case 2:switch(b.length){case 1:if(_[1]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Matrix columns ("+_[1]+") must match Vector length ("+b[0]+")");break;case 2:if(_[1]!==b[0])throw new RangeError("Dimension mismatch in multiplication. Matrix A columns ("+_[1]+") must match Matrix B rows ("+b[0]+")");break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix B has "+b.length+" dimensions)")}break;default:throw new Error("Can only multiply a 1 or 2 dimensional matrix (Matrix A has "+_.length+" dimensions)")}}function c(_,b,E){if(E===0)throw new Error("Cannot multiply two empty vectors");return o(_,b)}function f(_,b){if(b.storage()!=="dense")throw new Error("Support for SparseMatrix not implemented");return p(_,b)}function p(_,b){var E=_._data,D=_._size,A=_._datatype,S=b._data,M=b._size,F=b._datatype,P=D[0],R=M[1],O,I=n,T=i;A&&F&&A===F&&typeof A=="string"&&(O=A,I=e.find(n,[O,O]),T=e.find(i,[O,O]));for(var $=[],B=0;B<R;B++){for(var U=T(E[0],S[0][B]),G=1;G<P;G++)U=I(U,T(E[G],S[G][B]));$[B]=U}return _.createDenseMatrix({data:$,size:[R],datatype:O})}var m=e("_multiplyMatrixVector",{"DenseMatrix, any":d,"SparseMatrix, any":w}),h=e("_multiplyMatrixMatrix",{"DenseMatrix, DenseMatrix":g,"DenseMatrix, SparseMatrix":v,"SparseMatrix, DenseMatrix":y,"SparseMatrix, SparseMatrix":x});function d(_,b){var E=_._data,D=_._size,A=_._datatype,S=b._data,M=b._datatype,F=D[0],P=D[1],R,O=n,I=i;A&&M&&A===M&&typeof A=="string"&&(R=A,O=e.find(n,[R,R]),I=e.find(i,[R,R]));for(var T=[],$=0;$<F;$++){for(var B=E[$],U=I(B[0],S[0]),G=1;G<P;G++)U=O(U,I(B[G],S[G]));T[$]=U}return _.createDenseMatrix({data:T,size:[F],datatype:R})}function g(_,b){var E=_._data,D=_._size,A=_._datatype,S=b._data,M=b._size,F=b._datatype,P=D[0],R=D[1],O=M[1],I,T=n,$=i;A&&F&&A===F&&typeof A=="string"&&(I=A,T=e.find(n,[I,I]),$=e.find(i,[I,I]));for(var B=[],U=0;U<P;U++){var G=E[U];B[U]=[];for(var H=0;H<O;H++){for(var L=$(G[0],S[0][H]),ae=1;ae<R;ae++)L=T(L,$(G[ae],S[ae][H]));B[U][H]=L}}return _.createDenseMatrix({data:B,size:[P,O],datatype:I})}function v(_,b){var E=_._data,D=_._size,A=_._datatype,S=b._values,M=b._index,F=b._ptr,P=b._size,R=b._datatype;if(!S)throw new Error("Cannot multiply Dense Matrix times Pattern only Matrix");var O=D[0],I=P[1],T,$=n,B=i,U=a,G=0;A&&R&&A===R&&typeof A=="string"&&(T=A,$=e.find(n,[T,T]),B=e.find(i,[T,T]),U=e.find(a,[T,T]),G=e.convert(0,T));for(var H=[],L=[],ae=[],ve=b.createSparseMatrix({values:H,index:L,ptr:ae,size:[O,I],datatype:T}),se=0;se<I;se++){ae[se]=L.length;var le=F[se],he=F[se+1];if(he>le)for(var K=0,ne=0;ne<O;ne++){for(var me=ne+1,de=void 0,Oe=le;Oe<he;Oe++){var Se=M[Oe];K!==me?(de=B(E[ne][Se],S[Oe]),K=me):de=$(de,B(E[ne][Se],S[Oe]))}K===me&&!U(de,G)&&(L.push(ne),H.push(de))}}return ae[I]=L.length,ve}function w(_,b){var E=_._values,D=_._index,A=_._ptr,S=_._datatype;if(!E)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var M=b._data,F=b._datatype,P=_._size[0],R=b._size[0],O=[],I=[],T=[],$,B=n,U=i,G=a,H=0;S&&F&&S===F&&typeof S=="string"&&($=S,B=e.find(n,[$,$]),U=e.find(i,[$,$]),G=e.find(a,[$,$]),H=e.convert(0,$));var L=[],ae=[];T[0]=0;for(var ve=0;ve<R;ve++){var se=M[ve];if(!G(se,H))for(var le=A[ve],he=A[ve+1],K=le;K<he;K++){var ne=D[K];ae[ne]?L[ne]=B(L[ne],U(se,E[K])):(ae[ne]=!0,I.push(ne),L[ne]=U(se,E[K]))}}for(var me=I.length,de=0;de<me;de++){var Oe=I[de];O[de]=L[Oe]}return T[1]=I.length,_.createSparseMatrix({values:O,index:I,ptr:T,size:[P,1],datatype:$})}function y(_,b){var E=_._values,D=_._index,A=_._ptr,S=_._datatype;if(!E)throw new Error("Cannot multiply Pattern only Matrix times Dense Matrix");var M=b._data,F=b._datatype,P=_._size[0],R=b._size[0],O=b._size[1],I,T=n,$=i,B=a,U=0;S&&F&&S===F&&typeof S=="string"&&(I=S,T=e.find(n,[I,I]),$=e.find(i,[I,I]),B=e.find(a,[I,I]),U=e.convert(0,I));for(var G=[],H=[],L=[],ae=_.createSparseMatrix({values:G,index:H,ptr:L,size:[P,O],datatype:I}),ve=[],se=[],le=0;le<O;le++){L[le]=H.length;for(var he=le+1,K=0;K<R;K++){var ne=M[K][le];if(!B(ne,U))for(var me=A[K],de=A[K+1],Oe=me;Oe<de;Oe++){var Se=D[Oe];se[Se]!==he?(se[Se]=he,H.push(Se),ve[Se]=$(ne,E[Oe])):ve[Se]=T(ve[Se],$(ne,E[Oe]))}}for(var V=L[le],X=H.length,fe=V;fe<X;fe++){var W=H[fe];G[fe]=ve[W]}}return L[O]=H.length,ae}function x(_,b){var E=_._values,D=_._index,A=_._ptr,S=_._datatype,M=b._values,F=b._index,P=b._ptr,R=b._datatype,O=_._size[0],I=b._size[1],T=E&&M,$,B=n,U=i;S&&R&&S===R&&typeof S=="string"&&($=S,B=e.find(n,[$,$]),U=e.find(i,[$,$]));for(var G=T?[]:void 0,H=[],L=[],ae=_.createSparseMatrix({values:G,index:H,ptr:L,size:[O,I],datatype:$}),ve=T?[]:void 0,se=[],le,he,K,ne,me,de,Oe,Se,V=0;V<I;V++){L[V]=H.length;var X=V+1;for(me=P[V],de=P[V+1],ne=me;ne<de;ne++)if(Se=F[ne],T)for(he=A[Se],K=A[Se+1],le=he;le<K;le++)Oe=D[le],se[Oe]!==X?(se[Oe]=X,H.push(Oe),ve[Oe]=U(M[ne],E[le])):ve[Oe]=B(ve[Oe],U(M[ne],E[le]));else for(he=A[Se],K=A[Se+1],le=he;le<K;le++)Oe=D[le],se[Oe]!==X&&(se[Oe]=X,H.push(Oe));if(T)for(var fe=L[V],W=H.length,te=fe;te<W;te++){var ie=H[te];G[te]=ve[ie]}}return L[I]=H.length,ae}return e(RC,i,{"Array, Array":e.referTo("Matrix, Matrix",_=>(b,E)=>{s(nt(b),nt(E));var D=_(t(b),t(E));return Ge(D)?D.valueOf():D}),"Matrix, Matrix":function(b,E){var D=b.size(),A=E.size();return s(D,A),D.length===1?A.length===1?c(b,E,D[0]):f(b,E):A.length===1?m(b,E):h(b,E)},"Matrix, Array":e.referTo("Matrix,Matrix",_=>(b,E)=>_(b,t(E))),"Array, Matrix":e.referToSelf(_=>(b,E)=>_(t(b,E.storage()),E)),"SparseMatrix, any":function(b,E){return l(b,E,i,!1)},"DenseMatrix, any":function(b,E){return u(b,E,i,!1)},"any, SparseMatrix":function(b,E){return l(E,b,i,!0)},"any, DenseMatrix":function(b,E){return u(E,b,i,!0)},"Array, any":function(b,E){return u(t(b),E,i,!1).valueOf()},"any, Array":function(b,E){return u(t(E),b,i,!0).valueOf()},"any, any":i,"any, any, ...any":e.referToSelf(_=>(b,E,D)=>{for(var A=_(b,E),S=0;S<D.length;S++)A=_(A,D[S]);return A})})});var LC="nthRoot",OH=["typed","matrix","equalScalar","BigNumber","concat"],gy=N(LC,OH,r=>{var{typed:e,matrix:t,equalScalar:n,BigNumber:i,concat:a}=r,o=xn({typed:e}),l=kr({typed:e,equalScalar:n}),u=uo({typed:e,equalScalar:n}),s=Yt({typed:e,equalScalar:n}),c=ct({typed:e,matrix:t,concat:a});function f(){throw new Error("Complex number not supported in function nthRoot. 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r.isZero()||e.eq(n)||r.eq(e)?e:e.isZero()||r.eq(n)?r:!r.isFinite()||!e.isFinite()?!r.isFinite()&&!r.isNegative()&&e.isNegative()||r.isNegative()&&!e.isNegative()&&!e.isFinite()?n:r.isNegative()&&e.isNegative()?r.isFinite()?r:e:r.isFinite()?e:r:Sy(r,e,function(i,a){return i|a})}function Sy(r,e,t){var n=r.constructor,i,a,o=+(r.s<0),l=+(e.s<0);if(o){i=Rp(pu(r));for(var u=0;u<i.length;++u)i[u]^=1}else i=Rp(r);if(l){a=Rp(pu(e));for(var s=0;s<a.length;++s)a[s]^=1}else a=Rp(e);var c,f,p;i.length<=a.length?(c=i,f=a,p=o):(c=a,f=i,p=l);var m=c.length,h=f.length,d=t(o,l)^1,g=new n(d^1),v=new n(1),w=new n(2),y=n.precision;for(n.config({precision:1e9});m>0;)t(c[--m],f[--h])===d&&(g=g.plus(v)),v=v.times(w);for(;h>0;)t(p,f[--h])===d&&(g=g.plus(v)),v=v.times(w);return n.config({precision:y}),d===0&&(g.s=-g.s),g}function Rp(r){for(var e=r.d,t=e[0]+"",n=1;n<e.length;++n){for(var i=e[n]+"",a=7-i.length;a--;)i="0"+i;t+=i}for(var o=t.length;t.charAt(o)==="0";)o--;var l=r.e,u=t.slice(0,o+1||1),s=u.length;if(l>0)if(++l>s)for(l-=s;l--;)u+="0";else l<s&&(u=u.slice(0,l)+"."+u.slice(l));for(var c=[0],f=0;f<u.length;){for(var p=c.length;p--;)c[p]*=10;c[0]+=parseInt(u.charAt(f++));for(var m=0;m<c.length;++m)c[m]>1&&((c[m+1]===null||c[m+1]===void 0)&&(c[m+1]=0),c[m+1]+=c[m]>>1,c[m]&=1)}return c.reverse()}function jC(r,e){if(r.isFinite()&&!r.isInteger()||e.isFinite()&&!e.isInteger())throw new Error("Integers expected in function bitXor");var t=r.constructor;if(r.isNaN()||e.isNaN())return new t(NaN);if(r.isZero())return e;if(e.isZero())return r;if(r.eq(e))return new t(0);var n=new t(-1);return r.eq(n)?pu(e):e.eq(n)?pu(r):!r.isFinite()||!e.isFinite()?!r.isFinite()&&!e.isFinite()?n:new t(r.isNegative()===e.isNegative()?1/0:-1/0):Sy(r,e,function(i,a){return i^a})}function ZC(r,e){if(r.isFinite()&&!r.isInteger()||e.isFinite()&&!e.isInteger())throw new Error("Integers expected in function leftShift");var t=r.constructor;return r.isNaN()||e.isNaN()||e.isNegative()&&!e.isZero()?new t(NaN):r.isZero()||e.isZero()?r:!r.isFinite()&&!e.isFinite()?new t(NaN):e.lt(55)?r.times(Math.pow(2,e.toNumber())+""):r.times(new t(2).pow(e))}function JC(r,e){if(r.isFinite()&&!r.isInteger()||e.isFinite()&&!e.isInteger())throw new Error("Integers expected in function rightArithShift");var t=r.constructor;return r.isNaN()||e.isNaN()||e.isNegative()&&!e.isZero()?new t(NaN):r.isZero()||e.isZero()?r:e.isFinite()?e.lt(55)?r.div(Math.pow(2,e.toNumber())+"").floor():r.div(new t(2).pow(e)).floor():r.isNegative()?new t(-1):r.isFinite()?new t(0):new t(NaN)}var YC="bitAnd",WH=["typed","matrix","equalScalar","concat"],xl=N(YC,WH,r=>{var{typed:e,matrix:t,equalScalar:n,concat:i}=r,a=kr({typed:e,equalScalar:n}),o=uo({typed:e,equalScalar:n}),l=Yt({typed:e,equalScalar:n}),u=ct({typed:e,matrix:t,concat:i});return e(YC,{"number, number":Zg,"BigNumber, BigNumber":GC},u({SS:o,DS:a,Ss:l}))});var XC="bitNot",jH=["typed"],Ey=N(XC,jH,r=>{var{typed:e}=r;return e(XC,{number:Jg,BigNumber:pu,"Array | Matrix":e.referToSelf(t=>n=>Je(n,t))})});var QC="bitOr",ZH=["typed","matrix","equalScalar","DenseMatrix","concat"],wl=N(QC,ZH,r=>{var{typed:e,matrix:t,equalScalar:n,DenseMatrix:i,concat:a}=r,o=xn({typed:e}),l=fu({typed:e,equalScalar:n}),u=Vn({typed:e,DenseMatrix:i}),s=ct({typed:e,matrix:t,concat:a});return e(QC,{"number, number":Yg,"BigNumber, BigNumber":WC},s({SS:l,DS:o,Ss:u}))});var JH="matAlgo07xSSf",YH=["typed","DenseMatrix"],zr=N(JH,YH,r=>{var{typed:e,DenseMatrix:t}=r;return function(a,o,l){var u=a._size,s=a._datatype,c=o._size,f=o._datatype;if(u.length!==c.length)throw new st(u.length,c.length);if(u[0]!==c[0]||u[1]!==c[1])throw new RangeError("Dimension mismatch. 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A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]};var U2={name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]};var V2={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]};var $2={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]};var q2={name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]};var z2={name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]};var H2={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]};var G2={name:"null",category:"Constants",syntax:["null"],description:"Value null",examples:["null"],seealso:["true","false"]};var W2={name:"phi",category:"Constants",syntax:["phi"],description:"Phi is the golden ratio. Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Phi is defined as `(1 + sqrt(5)) / 2` and is approximately 1.618034...",examples:["phi"],seealso:[]};var bx={name:"pi",category:"Constants",syntax:["pi"],description:"The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159",examples:["pi","sin(pi/2)"],seealso:["tau"]};var j2={name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]};var Z2={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]};var J2={name:"tau",category:"Constants",syntax:["tau"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]};var Y2={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]};var X2={name:"version",category:"Constants",syntax:["version"],description:"A string with the version number of math.js",examples:["version"],seealso:[]};var Q2={name:"bignumber",category:"Construction",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","fraction","index","matrix","string","unit"]};var K2={name:"boolean",category:"Construction",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]};var eF={name:"complex",category:"Construction",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]};var tF={name:"createUnit",category:"Construction",syntax:["createUnit(definitions)","createUnit(name, definition)"],description:"Create a user-defined unit and register it with the Unit type.",examples:['createUnit("foo")','createUnit("knot", {definition: "0.514444444 m/s", aliases: ["knots", "kt", "kts"]})','createUnit("mph", "1 mile/hour")'],seealso:["unit","splitUnit"]};var rF={name:"fraction",category:"Construction",syntax:["fraction(num)","fraction(matrix)","fraction(num,den)","fraction({n: num, d: den})"],description:"Create a fraction from a number or from integer numerator and denominator.",examples:["fraction(0.125)","fraction(1, 3) + fraction(2, 5)","fraction({n: 333, d: 53})","fraction([sqrt(9), sqrt(10), sqrt(11)])"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]};var nF={name:"index",category:"Construction",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[1:2, 1:2] = 1","B = [1, 2, 3]","B[B>1 and B<3]"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]};var iF={name:"matrix",category:"Construction",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()",'matrix("dense")',"matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])",'matrix([3, 4; 5, 6], "sparse")','matrix([3, 4; 5, 6], "sparse", "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","sparse"]};var aF={name:"number",category:"Construction",syntax:["x","number(x)","number(unit, valuelessUnit)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])",'number(unit("52cm"), "m")'],seealso:["bignumber","boolean","complex","fraction","index","matrix","string","unit"]};var oF={name:"sparse",category:"Construction",syntax:["sparse()","sparse([a1, b1, ...; a1, b2, ...])",'sparse([a1, b1, ...; a1, b2, ...], "number")'],description:"Create a sparse matrix.",examples:["sparse()","sparse([3, 4; 5, 6])",'sparse([3, 0; 5, 0], "number")'],seealso:["bignumber","boolean","complex","index","number","string","unit","matrix"]};var sF={name:"splitUnit",category:"Construction",syntax:["splitUnit(unit: Unit, parts: Unit[])"],description:"Split a unit in an array of units whose sum is equal to the original unit.",examples:['splitUnit(1 m, ["feet", "inch"])'],seealso:["unit","createUnit"]};var uF={name:"string",category:"Construction",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]};var lF={name:"unit",category:"Construction",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]};var cF={name:"config",category:"Core",syntax:["config()","config(options)"],description:"Get configuration or change configuration.",examples:["config()","1/3 + 1/4",'config({number: "Fraction"})',"1/3 + 1/4"],seealso:[]};var fF={name:"import",category:"Core",syntax:["import(functions)","import(functions, options)"],description:"Import functions or constants from an object.",examples:["import({myFn: f(x)=x^2, myConstant: 32 })","myFn(2)","myConstant"],seealso:[]};var pF={name:"typed",category:"Core",syntax:["typed(signatures)","typed(name, signatures)"],description:"Create a typed function.",examples:['double = typed({ "number": f(x)=x+x, "string": f(x)=concat(x,x) })',"double(2)",'double("hello")'],seealso:[]};var mF={name:"derivative",category:"Algebra",syntax:["derivative(expr, variable)","derivative(expr, variable, {simplify: boolean})"],description:"Takes the derivative of an expression expressed in parser Nodes. The derivative will be taken over the supplied variable in the second parameter. If there are multiple variables in the expression, it will return a partial derivative.",examples:['derivative("2x^3", "x")','derivative("2x^3", "x", {simplify: false})','derivative("2x^2 + 3x + 4", "x")','derivative("sin(2x)", "x")','f = parse("x^2 + x")','x = parse("x")',"df = derivative(f, x)","df.evaluate({x: 3})"],seealso:["simplify","parse","evaluate"]};var dF={name:"leafCount",category:"Algebra",syntax:["leafCount(expr)"],description:"Computes the number of leaves in the parse tree of the given expression",examples:['leafCount("e^(i*pi)-1")','leafCount(parse("{a: 22/7, b: 10^(1/2)}"))'],seealso:["simplify"]};var hF={name:"lsolve",category:"Algebra",syntax:["x=lsolve(L, b)"],description:"Finds one solution of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolveAll","lup","lusolve","usolve","matrix","sparse"]};var gF={name:"lsolveAll",category:"Algebra",syntax:["x=lsolveAll(L, b)"],description:"Finds all solutions of the linear system L * x = b where L is an [n x n] lower triangular matrix and b is a [n] column vector.",examples:["a = [-2, 3; 2, 1]","b = [11, 9]","x = lsolve(a, b)"],seealso:["lsolve","lup","lusolve","usolve","matrix","sparse"]};var vF={name:"lup",category:"Algebra",syntax:["lup(m)"],description:"Calculate the Matrix LU decomposition with partial pivoting. Matrix A is decomposed in three matrices (L, U, P) where P * A = L * U",examples:["lup([[2, 1], [1, 4]])","lup(matrix([[2, 1], [1, 4]]))","lup(sparse([[2, 1], [1, 4]]))"],seealso:["lusolve","lsolve","usolve","matrix","sparse","slu","qr"]};var yF={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 bF={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 xF={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 wF={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 _F={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 AF={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 SF={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 EF={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 DF={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 NF={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 CF={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 MF={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 TF={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]};var FF={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 IF={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 BF={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 PF={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 OF={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 kF={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 RF={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 LF={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 UF={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 VF={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 $F={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 qF={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 zF={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 HF={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 GF={name:"hypot",category:"Arithmetic",syntax:["hypot(a, b, c, ...)","hypot([a, b, c, ...])"],description:"Calculate the hypotenusa of a list with values. ",examples:["hypot(3, 4)","sqrt(3^2 + 4^2)","hypot(-2)","hypot([3, 4, 5])"],seealso:["abs","norm"]};var WF={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 jF={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 ZF={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 JF={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 YF={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 XF={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 QF={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 KF={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 eI={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 tI={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 rI={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 nI={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 iI={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 aI={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 oI={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 sI={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 uI={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 lI={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 cI={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 fI={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 pI={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 mI={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 dI={name:"unaryPlus",category:"Operators",syntax:["+x","unaryPlus(x)"],description:"Converts booleans and strings to numbers.",examples:["+true",'+"2"'],seealso:["add","subtract","unaryMinus"]};var hI={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 gI={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 vI={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 yI={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 bI={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 xI={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 wI={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 _I={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 AI={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 SI={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 EI={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 DI={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 NI={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 CI={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 MI={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 TI={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 FI={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 II={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 BI={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 PI={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 OI={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 kI={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 RI={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 LI={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 UI={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 VI={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 $I={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 qI={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 zI={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 HI={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 GI={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 WI={name:"diff",category:"Matrix",syntax:["diff(arr)","diff(arr, dim)"],description:["Create a new matrix or array with the difference of the passed matrix or array.","Dim parameter is optional and used to indicant the dimension of the array/matrix to apply the difference","If no dimension parameter is passed it is assumed as dimension 0","Dimension is zero-based in javascript and one-based in the parser","Arrays must be 'rectangular' meaning arrays like [1, 2]","If something is passed as a matrix it will be returned as a matrix but other than that all matrices are converted to arrays"],examples:["A = [1, 2, 4, 7, 0]","diff(A)","diff(A, 1)","B = [[1, 2], [3, 4]]","diff(B)","diff(B, 1)","diff(B, 2)","diff(B, bignumber(2))","diff([[1, 2], matrix([3, 4])], 2)"],seealso:["subtract","partitionSelect"]};var jI={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 ZI={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 JI={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 YI={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 XI={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 QI={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 KI={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 eB={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 tB={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 rB={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 nB={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], square)"],seealso:["filter","forEach"]};var iB={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 aB={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 oB={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 sB={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 uB={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 lB={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 cB={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 fB={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 pB={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 mB={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 dB={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 hB={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 gB={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 vB={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 yB={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 bB={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 xB={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 wB={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 _B={name:"fft",category:"Matrix",syntax:["fft(x)"],description:"Calculate N-dimensional fourier transform",examples:["fft([[1, 0], [1, 0]])"],seealso:["ifft"]};var AB={name:"ifft",category:"Matrix",syntax:["ifft(x)"],description:"Calculate N-dimensional inverse fourier transform",examples:["ifft([[2, 2], [0, 0]])"],seealso:["fft"]};var SB={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 EB={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 DB={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 NB={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 CB={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 MB={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 TB={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 FB={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 IB={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 BB={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 PB={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 OB={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 kB={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 RB={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 LB={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 UB={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 VB={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 $B={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 qB={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 zB={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 HB={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 GB={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 WB={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 jB={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 ZB={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 JB={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 YB={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 XB={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 QB={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 KB={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 eP={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 tP={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 rP={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 nP={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 iP={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 aP={name:"zeta",category:"Special",syntax:["zeta(s)"],description:"Compute the Riemann Zeta Function using an infinite series and Riemanns Functional Equation for the entire complex plane",examples:["zeta(0.2)","zeta(-0.5)","zeta(4)"],seealso:[]};var oP={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 sP={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 uP={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 lP={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 cP={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 fP={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 pP={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 mP={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:`Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. 

In case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.`,examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","variance"]};var dP={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 hP={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 gP={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 vP={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 yP={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 bP={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 xP={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 wP={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 _P={name:"acoth",category:"Trigonometry",syntax:["acoth(x)"],description:"Calculate the hyperbolic arccotangent of a value, defined as `acoth(x) = (ln((x+1)/x) + ln(x/(x-1))) / 2`.",examples:["acoth(2)","acoth(0.5)"],seealso:["acsch","asech"]};var AP={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 SP={name:"acsch",category:"Trigonometry",syntax:["acsch(x)"],description:"Calculate the hyperbolic arccosecant of a value, defined as `acsch(x) = ln(1/x + sqrt(1/x^2 + 1))`.",examples:["acsch(0.5)"],seealso:["asech","acoth"]};var EP={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 DP={name:"asech",category:"Trigonometry",syntax:["asech(x)"],description:"Calculate the inverse secant of a value.",examples:["asech(0.5)"],seealso:["acsch","acoth"]};var NP={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 CP={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 MP={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 TP={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 FP={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 IP={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 BP={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 PP={name:"cot",category:"Trigonometry",syntax:["cot(x)"],description:"Compute the cotangent of x in radians. 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d=m-h;if(s(c,h,d)<f)return{q:h,j:d}}throw new Error("Could not find acceptable parameters to compute the matrix exponential (try increasing maxSearchSize in expm.js)")}function s(c,f,p){for(var m=1,h=2;h<=f;h++)m*=h;for(var d=m,g=f+1;g<=2*f;g++)d*=g;var v=d*(2*f+1);return 8*Math.pow(c/Math.pow(2,p),2*f)*m*m/(d*v)}});var vO="sqrtm",QZ=["typed","abs","add","multiply","map","sqrt","subtract","inv","size","max","identity"],Nx=N(vO,QZ,r=>{var{typed:e,abs:t,add:n,multiply:i,map:a,sqrt:o,subtract:l,inv:u,size:s,max:c,identity:f}=r,p=1e3,m=1e-6;function h(d){var g,v=0,w=d,y=f(s(d));do{var x=w;if(w=i(.5,n(x,u(y))),y=i(.5,n(y,u(x))),g=c(t(l(w,x))),g>m&&++v>p)throw new Error("computing square root of matrix: iterative method could not converge")}while(g>m);return w}return e(vO,{"Array | Matrix":function(g){var v=Ge(g)?g.size():nt(g);switch(v.length){case 1:if(v[0]===1)return a(g,o);throw new RangeError("Matrix must be square (size: "+at(v)+")");case 2:{var w=v[0],y=v[1];if(w===y)return h(g);throw 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TypeError("Array with 3 numbers or BigNumbers expected for third argument");if(!x(P))throw new TypeError("Array with 3 numbers or BigNumbers expected for fourth argument");return D(S[0],S[1],S[2],M[0],M[1],M[2],F[0],F[1],F[2],P[0],P[1],P[2])}else throw new TypeError("Arrays with two or thee dimensional points expected")}function w(S){return S.length===1?S[0]:S.length>1&&Array.isArray(S[0])&&S.every(M=>Array.isArray(M)&&M.length===1)?m(S):S}function y(S){return S.length===2&&d(S[0])&&d(S[1])}function x(S){return S.length===3&&d(S[0])&&d(S[1])&&d(S[2])}function _(S){return S.length===4&&d(S[0])&&d(S[1])&&d(S[2])&&d(S[3])}function b(S,M,F,P){var R=S,O=F,I=c(R,M),T=c(O,P),$=c(u(I[0],T[1]),u(T[0],I[1]));if(h($)||f(n($),t.epsilon))return null;var B=u(T[0],R[1]),U=u(T[1],R[0]),G=u(T[0],O[1]),H=u(T[1],O[0]),L=s(a(c(c(B,U),G),H),$);return i(l(I,L),R)}function E(S,M,F,P,R,O,I,T,$,B,U,G){var H=u(c(S,M),c(F,P)),L=u(c(R,O),c(I,T)),ae=u(c($,B),c(U,G));return a(a(H,L),ae)}function D(S,M,F,P,R,O,I,T,$,B,U,G){var H=E(S,I,B,I,M,T,U,T,F,$,G,$),L=E(B,I,P,S,U,T,R,M,G,$,O,F),ae=E(S,I,P,S,M,T,R,M,F,$,O,F),ve=E(B,I,B,I,U,T,U,T,G,$,G,$),se=E(P,S,P,S,R,M,R,M,O,F,O,F),le=c(u(H,L),u(ae,ve)),he=c(u(se,ve),u(L,L));if(h(he))return null;var K=s(le,he),ne=s(a(H,u(K,L)),ve),me=a(S,u(K,c(P,S))),de=a(M,u(K,c(R,M))),Oe=a(F,u(K,c(O,F))),Se=a(I,u(ne,c(B,I))),V=a(T,u(ne,c(U,T))),X=a($,u(ne,c(G,$)));return p(me,Se)&&p(de,V)&&p(Oe,X)?[me,de,Oe]:null}function A(S,M,F,P,R,O,I,T,$,B){var U=u(S,I),G=u(P,I),H=u(M,T),L=u(R,T),ae=u(F,$),ve=u(O,$),se=c(c(c(B,U),H),ae),le=c(c(c(a(a(G,L),ve),U),H),ae),he=s(se,le),K=a(S,u(he,c(P,S))),ne=a(M,u(he,c(R,M))),me=a(F,u(he,c(O,F)));return[K,ne,me]}});var _O="sum",sJ=["typed","config","add","numeric"],kl=N(_O,sJ,r=>{var{typed:e,config:t,add:n,numeric:i}=r;return e(_O,{"Array | Matrix":a,"Array | Matrix, number | BigNumber":o,"...":function(u){if(vi(u))throw new TypeError("Scalar values expected in function sum");return a(u)}});function a(l){var u;return bn(l,function(s){try{u=u===void 0?s:n(u,s)}catch(c){throw Er(c,"sum",s)}}),u===void 0&&(u=i(0,t.number)),typeof u=="string"&&(u=i(u,t.number)),u}function o(l,u){try{var s=oo(l,u,n);return s}catch(c){throw Er(c,"sum")}}});var vm="cumsum",uJ=["typed","add","unaryPlus"],Rl=N(vm,uJ,r=>{var{typed:e,add:t,unaryPlus:n}=r;return e(vm,{Array:i,Matrix:function(s){return s.create(i(s.valueOf()))},"Array, number | BigNumber":o,"Matrix, number | BigNumber":function(s,c){return s.create(o(s.valueOf(),c))},"...":function(s){if(vi(s))throw new TypeError("All values expected to be scalar in function cumsum");return i(s)}});function i(u){try{return a(u)}catch(s){throw Er(s,vm)}}function a(u){if(u.length===0)return[];for(var s=[n(u[0])],c=1;c<u.length;++c)s.push(t(s[c-1],u[c]));return s}function o(u,s){var c=nt(u);if(s<0||s>=c.length)throw new pn(s,c.length);try{return l(u,s)}catch(f){throw Er(f,vm)}}function l(u,s){var c,f,p;if(s<=0){var m=u[0][0];if(Array.isArray(m)){for(p=Fp(u),f=[],c=0;c<p.length;c++)f[c]=l(p[c],s-1);return f}else return a(u)}else{for(f=[],c=0;c<u.length;c++)f[c]=l(u[c],s-1);return f}}});var AO="mean",lJ=["typed","add","divide"],Ll=N(AO,lJ,r=>{var{typed:e,add:t,divide:n}=r;return e(AO,{"Array | Matrix":a,"Array | Matrix, number | BigNumber":i,"...":function(l){if(vi(l))throw new TypeError("Scalar values expected in function mean");return a(l)}});function i(o,l){try{var u=oo(o,l,t),s=Array.isArray(o)?nt(o):o.size();return n(u,s[l])}catch(c){throw Er(c,"mean")}}function a(o){var l,u=0;if(bn(o,function(s){try{l=l===void 0?s:t(l,s),u++}catch(c){throw Er(c,"mean",s)}}),u===0)throw new Error("Cannot calculate the mean of an empty array");return n(l,u)}});var SO="median",cJ=["typed","add","divide","compare","partitionSelect"],Px=N(SO,cJ,r=>{var{typed:e,add:t,divide:n,compare:i,partitionSelect:a}=r;function o(s){try{s=ht(s.valueOf());var c=s.length;if(c===0)throw new Error("Cannot calculate median of an 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t(a(s,u))}))}catch(s){throw s instanceof TypeError&&s.message.indexOf("median")!==-1?new TypeError(s.message.replace("median","mad")):Er(s,"mad")}}});var kx="unbiased",DO="variance",pJ=["typed","add","subtract","multiply","divide","apply","isNaN"],Ul=N(DO,pJ,r=>{var{typed:e,add:t,subtract:n,multiply:i,divide:a,apply:o,isNaN:l}=r;return e(DO,{"Array | Matrix":function(f){return u(f,kx)},"Array | Matrix, string":u,"Array | Matrix, number | BigNumber":function(f,p){return s(f,p,kx)},"Array | Matrix, number | BigNumber, string":s,"...":function(f){return u(f,kx)}});function u(c,f){var p,m=0;if(c.length===0)throw new SyntaxError("Function variance requires one or more parameters (0 provided)");if(bn(c,function(g){try{p=p===void 0?g:t(p,g),m++}catch(v){throw Er(v,"variance",g)}}),m===0)throw new Error("Cannot calculate variance of an empty array");var h=a(p,m);if(p=void 0,bn(c,function(g){var v=n(g,h);p=p===void 0?i(v,v):t(p,i(v,v))}),l(p))return p;switch(f){case"uncorrected":return a(p,m);case"biased":return a(p,m+1);case"unbiased":{var d=Xe(p)?p.mul(0):0;return m===1?d:a(p,m-1)}default:throw new Error('Unknown normalization "'+f+'". 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Array A and B must have the same length.");for(var d=0;d<p.length;d++){if(p[d].length!==m[d].length)throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");h.push(f(p[d],m[d]))}return h}else{if(p.length!==m.length)throw new SyntaxError("Dimension mismatch. Array A and B must have the same number of elements.");return f(p,m)}}function f(p,m){var h=p.length,d=i(p),g=i(m),v=p.reduce((b,E,D)=>a(b,l(E,m[D])),0),w=i(p.map(b=>u(b,2))),y=i(m.map(b=>u(b,2))),x=o(l(h,v),l(d,g)),_=n(l(o(l(h,w),u(d,2)),o(l(h,y),u(g,2))));return s(x,_)}});var TO="combinations",gJ=["typed"],Lx=N(TO,gJ,r=>{var{typed:e}=r;return e(TO,{"number, number":tv,"BigNumber, BigNumber":function(n,i){var a=n.constructor,o,l,u=n.minus(i),s=new a(1);if(!FO(n)||!FO(i))throw new TypeError("Positive integer value expected in function combinations");if(i.gt(n))throw new TypeError("k must be less than n in function combinations");if(o=s,i.lt(u))for(l=s;l.lte(u);l=l.plus(s))o=o.times(i.plus(l)).dividedBy(l);else for(l=s;l.lte(i);l=l.plus(s))o=o.times(u.plus(l)).dividedBy(l);return o}})});function FO(r){return r.isInteger()&&r.gte(0)}var IO="combinationsWithRep",vJ=["typed"],Ux=N(IO,vJ,r=>{var{typed:e}=r;return e(IO,{"number, number":function(n,i){if(!ze(n)||n<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(!ze(i)||i<0)throw new TypeError("Positive integer value expected in function combinationsWithRep");if(n<1)throw new TypeError("k must be less than or equal to n + k - 1");if(i<n-1){var a=ri(n,n+i-1);return a/ri(1,i)}var o=ri(i+1,n+i-1);return o/ri(1,n-1)},"BigNumber, BigNumber":function(n,i){var a=n.constructor,o,l,u=new a(1),s=n.minus(u);if(!BO(n)||!BO(i))throw new TypeError("Positive integer value expected in function combinationsWithRep");if(n.lt(u))throw new TypeError("k must be less than or equal to n + k - 1 in function combinationsWithRep");if(o=u,i.lt(s))for(l=u;l.lte(s);l=l.plus(u))o=o.times(i.plus(l)).dividedBy(l);else for(l=u;l.lte(i);l=l.plus(u))o=o.times(s.plus(l)).dividedBy(l);return o}})});function BO(r){return r.isInteger()&&r.gte(0)}var PO="gamma",yJ=["typed","config","multiplyScalar","pow","BigNumber","Complex"],Vx=N(PO,yJ,r=>{var{typed:e,config:t,multiplyScalar:n,pow:i,BigNumber:a,Complex:o}=r;function l(s){if(s.im===0)return hl(s.re);if(s.re<.5){var c=new o(1-s.re,-s.im),f=new o(Math.PI*s.re,Math.PI*s.im);return new o(Math.PI).div(f.sin()).div(l(c))}s=new o(s.re-1,s.im);for(var p=new o(is[0],0),m=1;m<is.length;++m){var h=new o(is[m],0);p=p.add(h.div(s.add(m)))}var d=new o(s.re+sv+.5,s.im),g=Math.sqrt(2*Math.PI),v=d.pow(s.add(.5)),w=d.neg().exp();return p.mul(g).mul(v).mul(w)}return e(PO,{number:hl,Complex:l,BigNumber:function(c){if(c.isInteger())return c.isNegative()||c.isZero()?new a(1/0):u(c.minus(1));if(!c.isFinite())return new a(c.isNegative()?NaN:1/0);throw new Error("Integer BigNumber expected")}});function u(s){if(s<8)return new a([1,1,2,6,24,120,720,5040][s]);var c=t.precision+(Math.log(s.toNumber())|0),f=a.clone({precision:c});if(s%2===1)return s.times(u(new a(s-1)));for(var p=s,m=new f(s),h=s.toNumber();p>2;)p-=2,h+=p,m=m.times(h);return new a(m.toPrecision(a.precision))}});var OO="lgamma",bJ=["Complex","typed"],$x=N(OO,bJ,r=>{var{Complex:e,typed:t}=r,n=7,i=7,a=[-.029550653594771242,.00641025641025641,-.0019175269175269176,.0008417508417508417,-.0005952380952380953,.0007936507936507937,-.002777777777777778,.08333333333333333];return t(OO,{number:gl,Complex:o,BigNumber:function(){throw new Error("mathjs doesn't yet provide an implementation of the algorithm lgamma for BigNumber")}});function o(s){var c=6.283185307179586,f=1.1447298858494002,p=.1;if(s.isNaN())return new e(NaN,NaN);if(s.im===0)return new e(gl(s.re),0);if(s.re>=n||Math.abs(s.im)>=i)return l(s);if(s.re<=p){var m=pN(c,s.im)*Math.floor(.5*s.re+.25),h=s.mul(Math.PI).sin().log(),d=o(new e(1-s.re,-s.im));return new e(f,m).sub(h).sub(d)}else return s.im>=0?u(s):u(s.conjugate()).conjugate()}function l(s){for(var c=s.sub(.5).mul(s.log()).sub(s).add(uv),f=new e(1,0).div(s),p=f.div(s),m=a[0],h=a[1],d=2*p.re,g=p.re*p.re+p.im*p.im,v=2;v<8;v++){var w=h;h=-g*m+a[v],m=d*m+w}var y=f.mul(p.mul(m).add(h));return c.add(y)}function u(s){var c=0,f=0,p=s;for(s=s.add(1);s.re<=n;){p=p.mul(s);var m=p.im<0?1:0;m!==0&&f===0&&c++,f=m,s=s.add(1)}return l(s).sub(p.log()).sub(new e(0,c*2*Math.PI*1))}});var kO="factorial",xJ=["typed","gamma"],qx=N(kO,xJ,r=>{var{typed:e,gamma:t}=r;return e(kO,{number:function(i){if(i<0)throw new Error("Value must be non-negative");return t(i+1)},BigNumber:function(i){if(i.isNegative())throw new Error("Value must be non-negative");return t(i.plus(1))},"Array | Matrix":e.referToSelf(n=>i=>Je(i,n))})});var RO="kldivergence",wJ=["typed","matrix","divide","sum","multiply","map","dotDivide","log","isNumeric"],zx=N(RO,wJ,r=>{var{typed:e,matrix:t,divide:n,sum:i,multiply:a,map:o,dotDivide:l,log:u,isNumeric:s}=r;return e(RO,{"Array, Array":function(p,m){return c(t(p),t(m))},"Matrix, Array":function(p,m){return c(p,t(m))},"Array, 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UO="permutations",AJ=["typed","factorial"],Gx=N(UO,AJ,r=>{var{typed:e,factorial:t}=r;return e(UO,{"number | BigNumber":t,"number, number":function(i,a){if(!ze(i)||i<0)throw new TypeError("Positive integer value expected in function permutations");if(!ze(a)||a<0)throw new TypeError("Positive integer value expected in function permutations");if(a>i)throw new TypeError("second argument k must be less than or equal to first argument n");return ri(i-a+1,i)},"BigNumber, BigNumber":function(i,a){var o,l;if(!VO(i)||!VO(a))throw new TypeError("Positive integer value expected in function permutations");if(a.gt(i))throw new TypeError("second argument k must be less than or equal to first argument n");var u=i.mul(0).add(1);for(o=u,l=i.minus(a).plus(1);l.lte(i);l=l.plus(1))o=o.times(l);return o}})});function VO(r){return r.isInteger()&&r.gte(0)}var Qx=fr(rk(),1),TJ=(0,Qx.default)(Date.now());function Sa(r){var e;function t(i){e=i===null?TJ:(0,Qx.default)(String(i))}t(r);function n(){return 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Error('Cannot process function "'+x.name+'" in derivative: the function is not supported, undefined, or the number of arguments passed to it are not supported')}var M,F;D?(M="/",F="divide"):(M="*",F="multiply");var P=v(b,_);return A&&(P=new c("-","unaryMinus",[P])),new c(M,F,[P,S])},"OperatorNode, Object":function(x,_){if(_[x]!==void 0)return w(0);if(x.op==="+")return new c(x.op,x.fn,x.args.map(function(O){return v(O,_)}));if(x.op==="-"){if(x.isUnary())return new c(x.op,x.fn,[v(x.args[0],_)]);if(x.isBinary())return new c(x.op,x.fn,[v(x.args[0],_),v(x.args[1],_)])}if(x.op==="*"){var b=x.args.filter(function(O){return _[O]!==void 0});if(b.length>0){var E=x.args.filter(function(O){return _[O]===void 0}),D=E.length===1?E[0]:new c("*","multiply",E),A=b.concat(v(D,_));return new c("*","multiply",A)}return new c("+","add",x.args.map(function(O){return new c("*","multiply",x.args.map(function(I){return I===O?v(I,_):I.clone()}))}))}if(x.op==="/"&&x.isBinary()){var S=x.args[0],M=x.args[1];return _[M]!==void 0?new c("/","divide",[v(S,_),M]):_[S]!==void 0?new c("*","multiply",[new c("-","unaryMinus",[S]),new c("/","divide",[v(M,_),new c("^","pow",[M.clone(),w(2)])])]):new c("/","divide",[new c("-","subtract",[new c("*","multiply",[v(S,_),M.clone()]),new c("*","multiply",[S.clone(),v(M,_)])]),new c("^","pow",[M.clone(),w(2)])])}if(x.op==="^"&&x.isBinary()){var F=x.args[0],P=x.args[1];if(_[F]!==void 0)return _t(F)&&(o(F.value)||a(F.value,1))?w(0):new c("*","multiply",[x,new c("*","multiply",[new s("log",[F.clone()]),v(P.clone(),_)])]);if(_[P]!==void 0){if(_t(P)){if(o(P.value))return w(0);if(a(P.value,1))return v(F,_)}var R=new c("^","pow",[F.clone(),new c("-","subtract",[P,w(1)])]);return new c("*","multiply",[P.clone(),new c("*","multiply",[v(F,_),R])])}return new c("*","multiply",[new c("^","pow",[F.clone(),P.clone()]),new c("+","add",[new c("*","multiply",[v(F,_),new c("/","divide",[P.clone(),F.clone()])]),new c("*","multiply",[v(P,_),new s("log",[F.clone()])])])])}throw new Error('Cannot process operator "'+x.op+'" in derivative: the operator is not supported, undefined, or the number of arguments passed to it are not supported')}});function w(y,x){return new u(l(y,x||t.number))}return h});var hk="rationalize",YJ=["config","typed","equal","isZero","add","subtract","multiply","divide","pow","parse","simplifyConstant","simplifyCore","simplify","?bignumber","?fraction","mathWithTransform","matrix","AccessorNode","ArrayNode","ConstantNode","FunctionNode","IndexNode","ObjectNode","OperatorNode","SymbolNode","ParenthesisNode"],h1=N(hk,YJ,r=>{var{config:e,typed:t,equal:n,isZero:i,add:a,subtract:o,multiply:l,divide:u,pow:s,parse:c,simplifyConstant:f,simplifyCore:p,simplify:m,fraction:h,bignumber:d,mathWithTransform:g,matrix:v,AccessorNode:w,ArrayNode:y,ConstantNode:x,FunctionNode:_,IndexNode:b,ObjectNode:E,OperatorNode:D,SymbolNode:A,ParenthesisNode:S}=r;function M(I){var T=arguments.length>1&&arguments[1]!==void 0?arguments[1]:{},$=arguments.length>2&&arguments[2]!==void 0?arguments[2]:!1,B=P(),U=F(I,T,!0,B.firstRules),G=U.variables.length,H={exactFractions:!1},L={exactFractions:!0};if(I=U.expression,G>=1){I=R(I);var ae,ve,se=!0,le=!1;I=m(I,B.firstRules,{},H);for(var he;ve=se?B.distrDivRules:B.sucDivRules,I=m(I,ve,{},L),se=!se,he=I.toString(),he!==ae;)le=!0,ae=he;le&&(I=m(I,B.firstRulesAgain,{},H)),I=m(I,B.finalRules,{},H)}var K=[],ne={};return I.type==="OperatorNode"&&I.isBinary()&&I.op==="/"?(G===1&&(I.args[0]=O(I.args[0],K),I.args[1]=O(I.args[1])),$&&(ne.numerator=I.args[0],ne.denominator=I.args[1])):(G===1&&(I=O(I,K)),$&&(ne.numerator=I,ne.denominator=null)),$?(ne.coefficients=K,ne.variables=U.variables,ne.expression=I,ne):I}return t(hk,{Node:M,"Node, boolean":(I,T)=>M(I,{},T),"Node, Object":M,"Node, Object, boolean":M});function F(I,T,$,B){var U=[],G=m(I,B,T,{exactFractions:!1});$=!!$;var H="+-*"+($?"/":"");ae(G);var L={};return L.expression=G,L.variables=U,L;function ae(ve){var se=ve.type;if(se==="FunctionNode")throw new Error("There is an unsolved function call");if(se==="OperatorNode")if(ve.op==="^"){if(ve.args[1].type!=="ConstantNode"||!ze(parseFloat(ve.args[1].value)))throw new Error("There is a non-integer exponent");ae(ve.args[0])}else{if(H.indexOf(ve.op)===-1)throw new Error("Operator "+ve.op+" invalid in polynomial expression");for(var le=0;le<ve.args.length;le++)ae(ve.args[le])}else if(se==="SymbolNode"){var he=ve.name,K=U.indexOf(he);K===-1&&U.push(he)}else if(se==="ParenthesisNode")ae(ve.content);else if(se!=="ConstantNode")throw new Error("type "+se+" is not allowed in polynomial expression")}}function P(){var I=[p,{l:"n+n",r:"2*n"},{l:"n+-n",r:"0"},f,{l:"n*(n1^-1)",r:"n/n1"},{l:"n*n1^-n2",r:"n/n1^n2"},{l:"n1^-1",r:"1/n1"},{l:"n*(n1/n2)",r:"(n*n1)/n2"},{l:"1*n",r:"n"}],T=[{l:"(-n1)/(-n2)",r:"n1/n2"},{l:"(-n1)*(-n2)",r:"n1*n2"},{l:"n1--n2",r:"n1+n2"},{l:"n1-n2",r:"n1+(-n2)"},{l:"(n1+n2)*n3",r:"(n1*n3 + 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U.firstRules=I.concat(T,B),U.distrDivRules=$,U.sucDivRules=B,U.firstRulesAgain=I.concat(T),U.finalRules=[p,{l:"n*-n",r:"-n^2"},{l:"n*n",r:"n^2"},f,{l:"n*-n^n1",r:"-n^(n1+1)"},{l:"n*n^n1",r:"n^(n1+1)"},{l:"n^n1*-n^n2",r:"-n^(n1+n2)"},{l:"n^n1*n^n2",r:"n^(n1+n2)"},{l:"n^n1*-n",r:"-n^(n1+1)"},{l:"n^n1*n",r:"n^(n1+1)"},{l:"n^n1/-n",r:"-n^(n1-1)"},{l:"n^n1/n",r:"n^(n1-1)"},{l:"n/-n^n1",r:"-n^(1-n1)"},{l:"n/n^n1",r:"n^(1-n1)"},{l:"n^n1/-n^n2",r:"n^(n1-n2)"},{l:"n^n1/n^n2",r:"n^(n1-n2)"},{l:"n1+(-n2*n3)",r:"n1-n2*n3"},{l:"v*(-c)",r:"-c*v"},{l:"n1+-n2",r:"n1-n2"},{l:"v*c",r:"c*v"},{l:"(n1^n2)^n3",r:"(n1^(n2*n3))"}],U}function R(I,T,$){var B=I.type,U=arguments.length>1;if(B==="OperatorNode"&&I.isBinary()){var G=!1,H;if(I.op==="^"&&(I.args[0].type==="ParenthesisNode"||I.args[0].type==="OperatorNode")&&I.args[1].type==="ConstantNode"&&(H=parseFloat(I.args[1].value),G=H>=2&&ze(H)),G){if(H>2){var L=I.args[0],ae=new D("^","pow",[I.args[0].cloneDeep(),new x(H-1)]);I=new D("*","multiply",[L,ae])}else 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\`\`\``)},submitText:"Insert"}).open()})})})}function hd(r,e){r.replaceSelection(e)}var No=class{static get(e,t){return t.get(e).child}static tryGet(e,t){var n;return(n=t.tryGet(e))==null?void 0:n.child}static fullGet(e,t){return t.get(e)}static set(e,t,n){t.set(e,n)}static setAndCreate(e,t,n){t.setAndCreate(e,n)}};var ku=class{constructor(e,t){this.id=e,this.manager=t,this.cache=new Map}validateStoragePath(e,t,n,i){return i.validateStoragePathAsFilePath(e,n)}resolveBindTargetScope(e,t,n){return e}subscribe(e){if(e.bindTarget===void 0)throw new zt({errorLevel:"CRITICAL",effect:"can not subscribe",cause:"subscription bind target undefined"});let t=this.cache.get(e.bindTarget.storagePath);return t===void 0&&(t=this.getDefaultCacheItem(e.bindTarget.storagePath),this.cache.set(e.bindTarget.storagePath,t)),t.subscriptions.push(e),t}unsubscribe(e){if(e.bindTarget===void 0)throw new zt({errorLevel:"CRITICAL",effect:"can not unsubscribe",cause:"subscription bind target undefined"});let t=this.cache.get(e.bindTarget.storagePath);if(t===void 0)throw new zt({errorLevel:"CRITICAL",effect:"can not unsubscribe",cause:"cache item does not exist"});return t.subscriptions=t.subscriptions.filter(n=>n.uuid!==e.uuid),t}getCacheItemForStoragePath(e){return this.cache.get(e)}onCycle(e){}iterateCacheItems(){return this.cache.values()}shouldDelete(e){return!0}delete(e){this.cache.delete(e.storagePath)}update(e,t){if(t.bindTarget===void 0)throw new zt({errorLevel:"CRITICAL",effect:"can not update metadata",cause:"subscription bind target undefined"});let n=this.cache.get(t.bindTarget.storagePath);if(n===void 0)throw new zt({errorLevel:"CRITICAL",effect:"can not update metadata",cause:"cache item does not exist"});return No.setAndCreate(n.data,t.bindTarget.storageProp,e),n}updateEntireCache(e,t){t.data=e}readCache(e){if(e.storageType!==this.id)throw new zt({errorLevel:"ERROR",effect:"can not read cache",cause:`Source "${e.storageType}" does not match`});let t=this.getCacheItemForStoragePath(e.storagePath);if(t===void 0)throw new zt({errorLevel:"ERROR",effect:"can not read cache",cause:`Cache item for path "${e.storagePath}" does not exist or is not loaded`});return this.readCacheItem(t,e.storageProp)}readCacheItem(e,t){return No.tryGet(e.data,t)}readEntireCacheItem(e){return e.data}};var gd=class extends ku{getDefaultCacheItem(e){return{data:{},storagePath:e,...this.manager.getDefaultCacheItem()}}async syncExternal(e){}},vd=class{constructor(e,t){this.id=e,this.manager=t,this.cache={data:{},...this.manager.getDefaultCacheItem()}}validateStoragePath(e,t,n,i){if(t)throw new $r("ERROR","Bind Target Validator","Failed to parse bind target. Bind target storage type 'global_memory' does not support a storage path.",n,e.position);return""}resolveBindTargetScope(e,t,n){return e}delete(e){}getCacheItemForStoragePath(e){return this.cache}iterateCacheItems(){return[this.cache][Symbol.iterator]()}onCycle(e){}readCache(e){return this.readCacheItem(this.cache,e.storageProp)}readCacheItem(e,t){return No.tryGet(e.data,t)}shouldDelete(e){return!1}subscribe(e){return this.cache.subscriptions.push(e),this.cache}syncExternal(e){}unsubscribe(e){return this.cache.subscriptions=this.cache.subscriptions.filter(t=>t.uuid!==e.uuid),this.cache}update(e,t){if(t.bindTarget===void 0)throw new zt({errorLevel:"CRITICAL",effect:"can not update metadata",cause:"subscription bind target undefined"});return No.setAndCreate(this.cache.data,t.bindTarget.storageProp,e),this.cache}updateEntireCache(e,t){t.data=e}readEntireCacheItem(e){return e.data}},yd=class{constructor(e,t){this.id=e,this.manager=t}validateStoragePath(e,t,n,i){if(t)throw new $r("ERROR","Bind Target Validator","Failed to parse bind target. Bind target storage type 'scope' does not support a storage path.",n,e.position);return""}resolveBindTargetScope(e,t,n){return n.resolveScope(e,t)}delete(e){}getCacheItemForStoragePath(e){}iterateCacheItems(){return[][Symbol.iterator]()}onCycle(e){}readCache(e){}readCacheItem(e,t){}shouldDelete(e){return!0}subscribe(e){throw new zt({errorLevel:"CRITICAL",effect:"action not permitted",cause:"source 'scope' should have no cache items or subscriptions"})}syncExternal(e){}unsubscribe(e){throw new zt({errorLevel:"CRITICAL",effect:"action not permitted",cause:"source 'scope' should have no cache items or subscriptions"})}update(e,t){throw new zt({errorLevel:"CRITICAL",effect:"action not permitted",cause:"source 'scope' should have no cache items or subscriptions"})}updateEntireCache(e,t){}readEntireCacheItem(e){throw new zt({errorLevel:"CRITICAL",effect:"action not permitted",cause:"source 'scope' should have no cache items or subscriptions"})}};var p8=require("obsidian");var bd=class extends ku{constructor(e,t,n){super(t,n),this.plugin=e,this.plugin.registerEvent(this.plugin.app.metadataCache.on("changed",(i,a,o)=>{var l;this.manager.onExternalUpdate(this,i.path,(l=structuredClone(o.frontmatter))!=null?l:{})}))}getDefaultCacheItem(e){var i,a;let t=this.plugin.app.vault.getAbstractFileByPath(e);if(t==null||!(t instanceof p8.TFile))throw new zt({errorLevel:"CRITICAL",effect:"can not get default cache item",cause:`no file for path "${e}" found or path is not a file`});let n=(i=this.plugin.app.metadataCache.getFileCache(t))==null?void 0:i.frontmatter;return console.log("meta-bind | Obs Source >> loaded frontmatter",structuredClone(n),e),{data:(a=structuredClone(n))!=null?a:{},storagePath:e,file:t,...this.manager.getDefaultCacheItem()}}async syncExternal(e){await this.plugin.app.fileManager.processFrontMatter(e.file,t=>{Object.assign(t,e.data)})}};var th=(n=>(n.DEV="dev",n.CANARY="canary",n.RELEASE="release",n))(th||{}),xd=class extends Ru.Plugin{async onload(){console.log("meta-bind | Main >> load"),this.build=this.determineBuild(),await this.loadSettings(),this.addSettingTab(new Zc(this.app,this)),this.dependencyManager=new dd(this,[{name:"Dataview",pluginId:"dataview",minVersion:new Di(0,5,64)},{name:"JS Engine",pluginId:"js-engine",minVersion:new Di(0,1,0)}]),!this.dependencyManager.checkDependenciesOnStartup()&&(this.api=new rd(this),this.internal=new md(this),this.mdrcManager=new sd,this.setUpMetadataManager(),this.loadTemplates(),this.addPostProcessors(),this.registerEditorExtension(z5(this)),this.addCommands(),l8(this),this.registerView(Oo,e=>new Mc(e,this)),this.addStatusBarBuildIndicator(),this.settings.enableEditorRightClickMenu&&this.registerEvent(this.app.workspace.on("editor-menu",(e,t)=>{f8(e,t,this)})),await(0,Ru.loadPrism)())}onunload(){console.log("meta-bind | Main >> unload"),this.mdrcManager.unload()}determineBuild(){return this.manifest.version.includes("canary")?"canary":"release"}setUpMetadataManager(){this.metadataManager=new lf,this.metadataManager.registerSource(new bd(this,"frontmatter",this.metadataManager)),this.metadataManager.registerSource(new gd("memory",this.metadataManager)),this.metadataManager.registerSource(new vd("globalMemory",this.metadataManager)),this.metadataManager.registerSource(new yd("scope",this.metadataManager)),this.metadataManager.setDefaultSource("frontmatter"),this.registerEvent(this.app.vault.on("rename",(e,t)=>{this.mdrcManager.unloadFile(t),this.metadataManager.onStoragePathRenamed(t,e.path)})),this.registerEvent(this.app.vault.on("delete",e=>{this.mdrcManager.unloadFile(e.path),this.metadataManager.onStoragePathDeleted(e.path)})),this.registerInterval(window.setInterval(()=>this.metadataManager.cycle(),this.settings.syncInterval))}addPostProcessors(){this.registerMarkdownPostProcessor((e,t)=>{let n=e.querySelectorAll("code"),i=t.sourcePath;for(let a=0;a<n.length;a++){let o=n.item(a);if(o.hasClass("mb-none"))continue;let l=o.innerText,u=this.api.isInlineFieldDeclarationAndGetType(l);u!==void 0&&this.api.createMDRC(u,l,"inline",i,o,t,void 0)}},1),this.registerMarkdownCodeBlockProcessor("meta-bind",(e,t,n)=>{let i=t,a=e.trim(),o=n.sourcePath,l=this.api.isInlineFieldDeclarationAndGetType(a);l!==void 0&&this.api.createMDRC(l,a,"block",o,i,n,void 0)}),this.registerMarkdownCodeBlockProcessor("meta-bind-js-view",(e,t,n)=>{let i=t,a=e.trim(),o=n.sourcePath;this.api.createMDRC("JS_VIEW_FIELD",a,"block",o,i,n,void 0)}),this.registerMarkdownCodeBlockProcessor("meta-bind-embed",(e,t,n)=>{let i=new ic(this,n.sourcePath,t,e,0);n.addChild(i)});for(let e=1;e<=mA;e++)this.registerMarkdownCodeBlockProcessor(`meta-bind-embed-internal-${e}`,(t,n,i)=>{let a=new ic(this,i.sourcePath,n,t,e);i.addChild(a)});this.registerMarkdownCodeBlockProcessor("meta-bind-button",(e,t,n)=>{console.log(n.getSectionInfo(t)),this.api.createButtonFromString(e,n.sourcePath,t,n)})}addCommands(){this.addCommand({id:"open-docs",name:"Open Meta Bind Docs",callback:()=>{window.open("https://mprojectscode.github.io/obsidian-meta-bind-plugin-docs/","_blank")}}),this.addCommand({id:"open-faq",name:"Open Meta Bind FAQ",callback:()=>{this.activateView(Oo)}}),this.addCommand({id:"open-help",name:"Open Meta Bind Help",callback:()=>{this.activateView(Oo)}}),this.addCommand({id:"open-button-builder",name:"Open Button Builder",callback:()=>{new qa({plugin:this,onOkay:e=>{window.navigator.clipboard.writeText(`\`\`\`meta-bind-button
${(0,Ru.stringifyYaml)(e)}
\`\`\``)},submitText:"Copy to Clipboard"}).open()}})}addStatusBarBuildIndicator(){if(this.build==="dev"){let e=this.addStatusBarItem();e.setText("Meta Bind Dev Build"),e.addClass("mb-error"),this.register(()=>e.remove())}if(this.build==="canary"){let e=this.addStatusBarItem();e.setText(`Meta Bind Canary Build (${this.manifest.version})`),e.addClass("mb-error"),this.register(()=>e.remove())}}loadTemplates(){let e=this.api.inputFieldParser.parseTemplates(this.settings.inputFieldTemplates);e.hasErrors()&&console.warn("meta-bind | failed to parse input field templates",e);let t=this.api.buttonManager.setButtonTemplates(this.settings.buttonTemplates);t.hasErrors()&&console.warn("meta-bind | failed to parse button templates",t)}isFilePathExcluded(e){for(let t of this.settings.excludedFolders)if(e.startsWith(t))return!0;return!1}async loadSettings(){console.log("meta-bind | Main >> settings load");let e=await this.loadData();this.settings=Object.assign({},Ci,e),await this.saveSettings()}async saveSettings(){console.log("meta-bind | Main >> settings save"),Zr.dateFormat=this.settings.preferredDateFormat,N4(this.settings.firstWeekday),await this.saveData(this.settings)}async activateView(e){let{workspace:t}=this.app,n,i=t.getLeavesOfType(e);i.length>0?n=i[0]:(n=t.getLeaf("tab"),await n.setViewState({type:e,active:!0})),t.revealLeaf(n)}};
/*! Bundled license information:

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

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

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